%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP011^1 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:24:32 AM UTC 2026 % Result : Theorem 157.61s 158.02s % Output : Proof 150.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP011^1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 03:48:04 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.53 %----Proving TH0 % 157.61/158.02 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 157.61/158.02 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 157.61/158.02 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 157.61/158.02 --- Run --ho-elim --full-saturate-quant at 18s... % 157.61/158.02 % SZS status Theorem % 157.61/158.02 % SZS output start Proof % 157.61/158.02 ( % 157.61/158.02 (declare-sort tptp.du 0) % 157.61/158.02 (declare-sort tptp.u 0) % 157.61/158.02 (declare-sort tptp.d 0) % 157.61/158.02 (declare-const tptp.c_2Eoption_2ENONE_2E0 tptp.u) % 157.61/158.02 (declare-const tptp.mono_2Ec_2Ebool_2EF Bool) % 157.61/158.02 (declare-const tptp.mono_2Ec_2Ebool_2ET Bool) % 157.61/158.02 (declare-const tptp.c_2Eoption_2Eoption__CASE_2E3 (-> tptp.du tptp.du tptp.du tptp.u)) % 157.61/158.02 (declare-const tptp.c_2Eoption_2Eoption__CASE_2E0 tptp.u) % 157.61/158.02 (declare-const tptp.c_2Eoption_2ETHE_2E1 (-> tptp.du tptp.u)) % 157.61/158.02 (declare-const tptp.c_2Eoption_2ETHE_2E0 tptp.u) % 157.61/158.02 (declare-const tptp.c_2Eoption_2ESOME_2E1 (-> tptp.du tptp.u)) % 157.61/158.02 (declare-const tptp.c_2Eoption_2ESOME_2E0 tptp.u) % 157.61/158.02 (declare-const tptp.c_2Eoption_2EOPTREL_2E3 (-> tptp.du tptp.du tptp.du tptp.u)) % 157.61/158.02 (declare-const tptp.c_2Eoption_2EOPTREL_2E0 tptp.u) % 157.61/158.02 (declare-const tptp.c_2Eoption_2EOPTION__MAP_2E2 (-> tptp.du tptp.du tptp.u)) % 157.61/158.02 (declare-const tptp.c_2Eoption_2EOPTION__MAP_2E0 tptp.u) % 157.61/158.02 (declare-const tptp.c_2Eoption_2EOPTION__JOIN_2E1 (-> tptp.du tptp.u)) % 157.61/158.02 (declare-const tptp.tyop_2Emin_2Ebool tptp.d) % 157.61/158.02 (declare-const tptp.mono_2Ec_2Ebool_2E_7E (-> Bool Bool)) % 157.61/158.02 (declare-const tptp.c_2Eoption_2EOPTION__JOIN_2E0 tptp.u) % 157.61/158.02 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> tptp.du tptp.du tptp.u)) % 157.61/158.02 (declare-const tptp.mono_2Ec_2Ebool_2E_5C_2F (-> Bool Bool Bool)) % 157.61/158.02 (declare-const tptp.j_mono_2Etyop_2Emin_2Ebool (-> tptp.du Bool)) % 157.61/158.02 (declare-const tptp.app_2E2 (-> tptp.du tptp.du tptp.u)) % 157.61/158.02 (declare-const tptp.mono_2Ec_2Ebool_2E_2F_5C (-> Bool Bool Bool)) % 157.61/158.02 (declare-const tptp.c_2Eoption_2EIS__NONE_2E0 tptp.u) % 157.61/158.02 (declare-const tptp.combin_k_2E0 tptp.u) % 157.61/158.02 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.du Bool Bool)) % 157.61/158.02 (declare-const tptp.combin_i_2E0 tptp.u) % 157.61/158.02 (declare-const tptp.s (-> tptp.d tptp.u tptp.du)) % 157.61/158.02 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (-> (-> Bool Bool Bool) tptp.u)) % 157.61/158.02 (declare-const tptp.mono_2Ec_2Emin_2E_3D_3D_3E (-> Bool Bool Bool)) % 157.61/158.02 (declare-const tptp.c_2Eoption_2EIS__NONE_2E1 (-> tptp.du tptp.u)) % 157.61/158.02 (declare-const tptp.tyop_2Emin_2Efun (-> tptp.d tptp.d tptp.d)) % 157.61/158.02 (declare-const tptp.i_mono_2Etyop_2Emin_2Ebool (-> Bool tptp.u)) % 157.61/158.02 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> tptp.du tptp.u)) % 157.61/158.02 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> tptp.du tptp.u)) % 157.61/158.02 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> (-> Bool Bool) tptp.u)) % 157.61/158.02 (declare-const tptp.tyop_2Eoption_2Eoption (-> tptp.d tptp.d)) % 157.61/158.02 (declare-const tptp.combin_s_2E0 tptp.u) % 157.61/158.02 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.du Bool Bool Bool)) % 157.61/158.02 (declare-const tptp.c_2Ebool_2E_21_2E0 tptp.u) % 157.61/158.02 (declare-const tptp.c_2Emin_2E_3D_2E0 tptp.u) % 157.61/158.02 (declare-const tptp.c_2Ebool_2E_3F_2E0 tptp.u) % 157.61/158.02 (declare-const tptp.c_2Eoption_2EIS__SOME_2E0 tptp.u) % 157.61/158.02 (declare-const tptp.c_2Eoption_2EIS__SOME_2E1 (-> tptp.du tptp.u)) % 157.61/158.02 (define @t1 () (@var "V1g_2E0" tptp.u)) % 157.61/158.02 (define @t2 () (@var "A_27b" tptp.d)) % 157.61/158.02 (define @t3 () (@var "A_27a" tptp.d)) % 157.61/158.02 (define @t4 () (_ tptp.tyop_2Emin_2Efun @t3)) % 157.61/158.02 (define @t5 () (_ @t4 @t2)) % 157.61/158.02 (define @t6 () (_ tptp.s @t5)) % 157.61/158.02 (define @t7 () (_ @t6 @t1)) % 157.61/158.02 (define @t8 () (@var "V0f_2E0" tptp.u)) % 157.61/158.02 (define @t9 () (_ @t6 @t8)) % 157.61/158.02 (define @t10 () (@var "V2x_2E0" tptp.u)) % 157.61/158.02 (define @t11 () (_ tptp.s @t3)) % 157.61/158.02 (define @t12 () (_ @t11 @t10)) % 157.61/158.02 (define @t13 () (_ tptp.s @t2)) % 157.61/158.02 (define @t14 () (_ @t13 (_ (_ tptp.app_2E2 @t7) @t12))) % 157.61/158.02 (define @t15 () (_ tptp.app_2E2 @t9)) % 157.61/158.02 (define @t16 () (@var "V0x_2E0" tptp.u)) % 157.61/158.02 (define @t17 () (_ @t11 @t16)) % 157.61/158.02 (define @t18 () (@list @t3 @t16)) % 157.61/158.02 (define @t19 () (@var "V1y_2E0" tptp.u)) % 157.61/158.02 (define @t20 () (_ tptp.tyop_2Emin_2Efun @t2)) % 157.61/158.02 (define @t21 () (_ @t20 @t3)) % 157.61/158.02 (define @t22 () (@var "A_27c" tptp.d)) % 157.61/158.02 (define @t23 () (_ @t20 @t22)) % 157.61/158.02 (define @t24 () (_ @t4 @t23)) % 157.61/158.02 (define @t25 () (_ (_ tptp.s @t24) @t8)) % 157.61/158.02 (define @t26 () (_ tptp.s @t22)) % 157.61/158.02 (define @t27 () (_ @t4 @t22)) % 157.61/158.02 (define @t28 () (_ tptp.tyop_2Emin_2Efun @t5)) % 157.61/158.02 (define @t29 () (_ @t28 @t27)) % 157.61/158.02 (define @t30 () (@var "V1" Bool)) % 157.61/158.02 (define @t31 () (@var "V0" Bool)) % 157.61/158.02 (define @t32 () (@list @t31 @t30)) % 157.61/158.02 (define @t33 () (@list @t31)) % 157.61/158.02 (define @t34 () (@var "V1_2E0" tptp.u)) % 157.61/158.02 (define @t35 () (_ @t11 @t34)) % 157.61/158.02 (define @t36 () (@var "V0_2E0" tptp.u)) % 157.61/158.02 (define @t37 () (_ @t11 @t36)) % 157.61/158.02 (define @t38 () (_ tptp.s tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t39 () (@var "V1x_2E0" tptp.u)) % 157.61/158.02 (define @t40 () (_ @t11 @t39)) % 157.61/158.02 (define @t41 () (_ @t4 tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t42 () (_ tptp.s @t41)) % 157.61/158.02 (define @t43 () (_ @t42 @t8)) % 157.61/158.02 (define @t44 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ (_ tptp.app_2E2 @t43) @t40)))) % 157.61/158.02 (define @t45 () (@list @t39)) % 157.61/158.02 (define @t46 () (@list @t3 @t8)) % 157.61/158.02 (define @t47 () (_ @t38 @t36)) % 157.61/158.02 (define @t48 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t47)) % 157.61/158.02 (define @t49 () (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t48)) % 157.61/158.02 (define @t50 () (_ @t38 @t49)) % 157.61/158.02 (define @t51 () (@list @t36)) % 157.61/158.02 (define @t52 () (forall @t51 (= @t50 @t47))) % 157.61/158.02 (define @t53 () (_ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t54 () (_ @t53 tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t55 () (_ tptp.s @t54)) % 157.61/158.02 (define @t56 () (_ @t55 @t36)) % 157.61/158.02 (define @t57 () (_ tptp.s (_ @t53 @t54))) % 157.61/158.02 (define @t58 () (_ @t57 @t36)) % 157.61/158.02 (define @t59 () (@var "V0" (-> Bool Bool))) % 157.61/158.02 (define @t60 () (_ @t55 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t59))) % 157.61/158.02 (define @t61 () (@var "V0" (-> Bool Bool Bool))) % 157.61/158.02 (define @t62 () (_ @t57 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t61))) % 157.61/158.02 (define @t63 () (@var "X0_2E0" tptp.u)) % 157.61/158.02 (define @t64 () (_ @t42 @t63)) % 157.61/158.02 (define @t65 () (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t41) tptp.tyop_2Emin_2Ebool))) % 157.61/158.02 (define @t66 () (@list @t3 @t63)) % 157.61/158.02 (define @t67 () (@var "X1_2E0" tptp.u)) % 157.61/158.02 (define @t68 () (_ @t11 @t67)) % 157.61/158.02 (define @t69 () (_ @t11 @t63)) % 157.61/158.02 (define @t70 () (_ @t4 @t41)) % 157.61/158.02 (define @t71 () (_ tptp.s @t70)) % 157.61/158.02 (define @t72 () (_ tptp.tyop_2Eoption_2Eoption @t3)) % 157.61/158.02 (define @t73 () (_ tptp.s @t72)) % 157.61/158.02 (define @t74 () (_ @t73 @t63)) % 157.61/158.02 (define @t75 () (_ tptp.tyop_2Emin_2Efun @t72)) % 157.61/158.02 (define @t76 () (_ @t75 tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t77 () (_ tptp.s @t76)) % 157.61/158.02 (define @t78 () (_ @t77 tptp.c_2Eoption_2EIS__NONE_2E0)) % 157.61/158.02 (define @t79 () (_ (_ tptp.app_2E2 @t78) @t74)) % 157.61/158.02 (define @t80 () (_ @t38 @t79)) % 157.61/158.02 (define @t81 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t80)) % 157.61/158.02 (define @t82 () (_ tptp.c_2Eoption_2EIS__NONE_2E1 @t74)) % 157.61/158.02 (define @t83 () (_ @t38 @t82)) % 157.61/158.02 (define @t84 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t83)) % 157.61/158.02 (define @t85 () (= @t84 @t81)) % 157.61/158.02 (define @t86 () (forall @t66 @t85)) % 157.61/158.02 (define @t87 () (_ tptp.tyop_2Eoption_2Eoption @t72)) % 157.61/158.02 (define @t88 () (_ tptp.s @t87)) % 157.61/158.02 (define @t89 () (_ @t88 @t63)) % 157.61/158.02 (define @t90 () (_ @t73 @t67)) % 157.61/158.02 (define @t91 () (_ @t6 @t63)) % 157.61/158.02 (define @t92 () (_ tptp.tyop_2Eoption_2Eoption @t2)) % 157.61/158.02 (define @t93 () (_ @t75 @t92)) % 157.61/158.02 (define @t94 () (_ tptp.s @t92)) % 157.61/158.02 (define @t95 () (@var "X2_2E0" tptp.u)) % 157.61/158.02 (define @t96 () (_ @t73 @t95)) % 157.61/158.02 (define @t97 () (_ @t71 @t63)) % 157.61/158.02 (define @t98 () (_ @t75 @t76)) % 157.61/158.02 (define @t99 () (@list @t3 @t63 @t67 @t95)) % 157.61/158.02 (define @t100 () (_ @t94 @t95)) % 157.61/158.02 (define @t101 () (_ @t20 tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t102 () (_ @t4 @t101)) % 157.61/158.02 (define @t103 () (_ tptp.s @t102)) % 157.61/158.02 (define @t104 () (_ @t103 @t63)) % 157.61/158.02 (define @t105 () (_ (_ tptp.tyop_2Emin_2Efun @t92) tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t106 () (_ @t75 @t105)) % 157.61/158.02 (define @t107 () (@list @t3 @t2 @t63 @t67 @t95)) % 157.61/158.02 (define @t108 () (_ @t4 @t72)) % 157.61/158.02 (define @t109 () (_ tptp.s @t108)) % 157.61/158.02 (define @t110 () (_ @t109 tptp.c_2Eoption_2ESOME_2E0)) % 157.61/158.02 (define @t111 () (_ @t13 @t63)) % 157.61/158.02 (define @t112 () (_ @t6 @t95)) % 157.61/158.02 (define @t113 () (_ @t13 @t67)) % 157.61/158.02 (define @t114 () (_ @t28 @t2)) % 157.61/158.02 (define @t115 () (_ @t20 @t114)) % 157.61/158.02 (define @t116 () (_ tptp.c_2Eoption_2Eoption__CASE_2E3 @t74)) % 157.61/158.02 (define @t117 () (_ @t109 @t95)) % 157.61/158.02 (define @t118 () (_ (_ tptp.tyop_2Emin_2Efun @t108) @t72)) % 157.61/158.02 (define @t119 () (_ @t75 @t118)) % 157.61/158.02 (define @t120 () (_ @t38 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t30))) % 157.61/158.02 (define @t121 () (_ @t59 @t30)) % 157.61/158.02 (define @t122 () (@list @t59 @t30)) % 157.61/158.02 (define @t123 () (_ @t61 @t30)) % 157.61/158.02 (define @t124 () (@list @t61 @t30)) % 157.61/158.02 (define @t125 () (@var "V1t2" Bool)) % 157.61/158.02 (define @t126 () (@var "V0t1" Bool)) % 157.61/158.02 (define @t127 () (@var "V0t" Bool)) % 157.61/158.02 (define @t128 () (@list @t127)) % 157.61/158.02 (define @t129 () (forall @t128 (=> tptp.mono_2Ec_2Ebool_2EF @t127))) % 157.61/158.02 (define @t130 () (or @t127 @t127)) % 157.61/158.02 (define @t131 () (not tptp.mono_2Ec_2Ebool_2EF)) % 157.61/158.02 (define @t132 () (not @t127)) % 157.61/158.02 (define @t133 () (not @t132)) % 157.61/158.02 (define @t134 () (@var "V25x_2E0" tptp.u)) % 157.61/158.02 (define @t135 () (_ @t73 @t134)) % 157.61/158.02 (define @t136 () (_ tptp.c_2Eoption_2ESOME_2E1 @t135)) % 157.61/158.02 (define @t137 () (_ @t88 @t136)) % 157.61/158.02 (define @t138 () (_ tptp.c_2Eoption_2EOPTION__JOIN_2E1 @t137)) % 157.61/158.02 (define @t139 () (_ @t73 @t138)) % 157.61/158.02 (define @t140 () (@list @t134)) % 157.61/158.02 (define @t141 () (forall @t140 (= @t139 @t135))) % 157.61/158.02 (define @t142 () (_ @t73 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t143 () (_ @t73 (_ tptp.c_2Eoption_2EOPTION__JOIN_2E1 (_ @t88 tptp.c_2Eoption_2ENONE_2E0)))) % 157.61/158.02 (define @t144 () (_ @t94 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t145 () (@var "V24f_2E0" tptp.u)) % 157.61/158.02 (define @t146 () (_ @t6 @t145)) % 157.61/158.02 (define @t147 () (_ (_ tptp.c_2Eoption_2EOPTION__MAP_2E2 @t146) @t142)) % 157.61/158.02 (define @t148 () (_ @t94 @t147)) % 157.61/158.02 (define @t149 () (= @t148 @t144)) % 157.61/158.02 (define @t150 () (@list @t145)) % 157.61/158.02 (define @t151 () (forall @t150 @t149)) % 157.61/158.02 (define @t152 () (@var "V23x_2E0" tptp.u)) % 157.61/158.02 (define @t153 () (_ @t11 @t152)) % 157.61/158.02 (define @t154 () (@var "V22f_2E0" tptp.u)) % 157.61/158.02 (define @t155 () (_ @t6 @t154)) % 157.61/158.02 (define @t156 () (_ (_ tptp.app_2E2 @t155) @t153)) % 157.61/158.02 (define @t157 () (_ @t13 @t156)) % 157.61/158.02 (define @t158 () (_ tptp.c_2Eoption_2ESOME_2E1 @t157)) % 157.61/158.02 (define @t159 () (_ @t94 @t158)) % 157.61/158.02 (define @t160 () (_ tptp.c_2Eoption_2ESOME_2E1 @t153)) % 157.61/158.02 (define @t161 () (_ @t73 @t160)) % 157.61/158.02 (define @t162 () (_ (_ tptp.c_2Eoption_2EOPTION__MAP_2E2 @t155) @t161)) % 157.61/158.02 (define @t163 () (_ @t94 @t162)) % 157.61/158.02 (define @t164 () (= @t163 @t159)) % 157.61/158.02 (define @t165 () (@list @t154 @t152)) % 157.61/158.02 (define @t166 () (forall @t165 @t164)) % 157.61/158.02 (define @t167 () (@var "V19x_2E0" tptp.u)) % 157.61/158.02 (define @t168 () (_ @t11 @t167)) % 157.61/158.02 (define @t169 () (@var "V21f_2E0" tptp.u)) % 157.61/158.02 (define @t170 () (_ @t6 @t169)) % 157.61/158.02 (define @t171 () (_ (_ tptp.app_2E2 @t170) @t168)) % 157.61/158.02 (define @t172 () (_ @t13 @t171)) % 157.61/158.02 (define @t173 () (@var "V20v_2E0" tptp.u)) % 157.61/158.02 (define @t174 () (_ @t13 @t173)) % 157.61/158.02 (define @t175 () (_ tptp.c_2Eoption_2ESOME_2E1 @t168)) % 157.61/158.02 (define @t176 () (_ @t73 @t175)) % 157.61/158.02 (define @t177 () (_ (_ (_ tptp.c_2Eoption_2Eoption__CASE_2E3 @t176) @t174) @t170)) % 157.61/158.02 (define @t178 () (_ @t13 @t177)) % 157.61/158.02 (define @t179 () (= @t178 @t172)) % 157.61/158.02 (define @t180 () (@list @t167 @t173 @t169)) % 157.61/158.02 (define @t181 () (forall @t180 @t179)) % 157.61/158.02 (define @t182 () (@var "V17v_2E0" tptp.u)) % 157.61/158.02 (define @t183 () (_ @t13 @t182)) % 157.61/158.02 (define @t184 () (@var "V18f_2E0" tptp.u)) % 157.61/158.02 (define @t185 () (_ @t6 @t184)) % 157.61/158.02 (define @t186 () (_ (_ (_ tptp.c_2Eoption_2Eoption__CASE_2E3 @t142) @t183) @t185)) % 157.61/158.02 (define @t187 () (_ @t13 @t186)) % 157.61/158.02 (define @t188 () (@list @t182 @t184)) % 157.61/158.02 (define @t189 () (forall @t188 (= @t187 @t183))) % 157.61/158.02 (define @t190 () (@var "V16x_2E0" tptp.u)) % 157.61/158.02 (define @t191 () (_ @t73 @t190)) % 157.61/158.02 (define @t192 () (@var "V1e_2E0" tptp.u)) % 157.61/158.02 (define @t193 () (_ @t73 @t192)) % 157.61/158.02 (define @t194 () (_ (_ (_ tptp.c_2Eoption_2Eoption__CASE_2E3 @t191) @t193) @t110)) % 157.61/158.02 (define @t195 () (_ @t73 @t194)) % 157.61/158.02 (define @t196 () (_ tptp.c_2Eoption_2EIS__SOME_2E1 @t191)) % 157.61/158.02 (define @t197 () (_ @t38 @t196)) % 157.61/158.02 (define @t198 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t197)) % 157.61/158.02 (define @t199 () (=> @t198 (= @t195 @t191))) % 157.61/158.02 (define @t200 () (@list @t190)) % 157.61/158.02 (define @t201 () (forall @t200 @t199)) % 157.61/158.02 (define @t202 () (@var "V15x_2E0" tptp.u)) % 157.61/158.02 (define @t203 () (_ @t73 @t202)) % 157.61/158.02 (define @t204 () (_ tptp.c_2Eoption_2ETHE_2E1 @t203)) % 157.61/158.02 (define @t205 () (_ @t11 @t204)) % 157.61/158.02 (define @t206 () (_ @t15 @t205)) % 157.61/158.02 (define @t207 () (_ @t13 @t206)) % 157.61/158.02 (define @t208 () (@var "V2e_2E0" tptp.u)) % 157.61/158.02 (define @t209 () (_ @t13 @t208)) % 157.61/158.02 (define @t210 () (_ (_ (_ tptp.c_2Eoption_2Eoption__CASE_2E3 @t203) @t209) @t9)) % 157.61/158.02 (define @t211 () (_ @t13 @t210)) % 157.61/158.02 (define @t212 () (= @t211 @t207)) % 157.61/158.02 (define @t213 () (_ tptp.c_2Eoption_2EIS__SOME_2E1 @t203)) % 157.61/158.02 (define @t214 () (_ @t38 @t213)) % 157.61/158.02 (define @t215 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t214)) % 157.61/158.02 (define @t216 () (@list @t202)) % 157.61/158.02 (define @t217 () (forall @t216 (=> @t215 @t212))) % 157.61/158.02 (define @t218 () (@var "V14x_2E0" tptp.u)) % 157.61/158.02 (define @t219 () (_ @t73 @t218)) % 157.61/158.02 (define @t220 () (_ (_ (_ tptp.c_2Eoption_2Eoption__CASE_2E3 @t219) @t209) @t9)) % 157.61/158.02 (define @t221 () (_ @t13 @t220)) % 157.61/158.02 (define @t222 () (_ tptp.c_2Eoption_2EIS__NONE_2E1 @t219)) % 157.61/158.02 (define @t223 () (_ @t38 @t222)) % 157.61/158.02 (define @t224 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t223)) % 157.61/158.02 (define @t225 () (=> @t224 (= @t221 @t209))) % 157.61/158.02 (define @t226 () (@list @t218)) % 157.61/158.02 (define @t227 () (forall @t226 @t225)) % 157.61/158.02 (define @t228 () (@var "V13x_2E0" tptp.u)) % 157.61/158.02 (define @t229 () (_ @t73 @t228)) % 157.61/158.02 (define @t230 () (_ (_ (_ tptp.c_2Eoption_2Eoption__CASE_2E3 @t229) @t229) @t110)) % 157.61/158.02 (define @t231 () (_ @t73 @t230)) % 157.61/158.02 (define @t232 () (@list @t228)) % 157.61/158.02 (define @t233 () (forall @t232 (= @t231 @t229))) % 157.61/158.02 (define @t234 () (@var "V12x_2E0" tptp.u)) % 157.61/158.02 (define @t235 () (_ @t73 @t234)) % 157.61/158.02 (define @t236 () (_ (_ (_ tptp.c_2Eoption_2Eoption__CASE_2E3 @t235) @t142) @t110)) % 157.61/158.02 (define @t237 () (_ @t73 @t236)) % 157.61/158.02 (define @t238 () (@list @t234)) % 157.61/158.02 (define @t239 () (forall @t238 (= @t237 @t235))) % 157.61/158.02 (define @t240 () (@var "V11x_2E0" tptp.u)) % 157.61/158.02 (define @t241 () (_ @t73 @t240)) % 157.61/158.02 (define @t242 () (_ tptp.c_2Eoption_2ETHE_2E1 @t241)) % 157.61/158.02 (define @t243 () (_ @t11 @t242)) % 157.61/158.02 (define @t244 () (_ tptp.c_2Eoption_2ESOME_2E1 @t243)) % 157.61/158.02 (define @t245 () (_ @t73 @t244)) % 157.61/158.02 (define @t246 () (_ tptp.c_2Eoption_2EIS__SOME_2E1 @t241)) % 157.61/158.02 (define @t247 () (_ @t38 @t246)) % 157.61/158.02 (define @t248 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t247)) % 157.61/158.02 (define @t249 () (=> @t248 (= @t245 @t241))) % 157.61/158.02 (define @t250 () (@list @t240)) % 157.61/158.02 (define @t251 () (forall @t250 @t249)) % 157.61/158.02 (define @t252 () (@var "V10x_2E0" tptp.u)) % 157.61/158.02 (define @t253 () (_ @t73 @t252)) % 157.61/158.02 (define @t254 () (_ tptp.c_2Eoption_2EIS__SOME_2E1 @t253)) % 157.61/158.02 (define @t255 () (_ @t38 @t254)) % 157.61/158.02 (define @t256 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t255)) % 157.61/158.02 (define @t257 () (not @t256)) % 157.61/158.02 (define @t258 () (= @t257 (= @t253 @t142))) % 157.61/158.02 (define @t259 () (@list @t252)) % 157.61/158.02 (define @t260 () (forall @t259 @t258)) % 157.61/158.02 (define @t261 () (@var "V9x_2E0" tptp.u)) % 157.61/158.02 (define @t262 () (_ @t73 @t261)) % 157.61/158.02 (define @t263 () (_ tptp.c_2Eoption_2EIS__NONE_2E1 @t262)) % 157.61/158.02 (define @t264 () (_ @t38 @t263)) % 157.61/158.02 (define @t265 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t264)) % 157.61/158.02 (define @t266 () (= @t265 (= @t262 @t142))) % 157.61/158.02 (define @t267 () (@list @t261)) % 157.61/158.02 (define @t268 () (forall @t267 @t266)) % 157.61/158.02 (define @t269 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ tptp.c_2Eoption_2EIS__SOME_2E1 @t142)))) % 157.61/158.02 (define @t270 () (@var "V8x_2E0" tptp.u)) % 157.61/158.02 (define @t271 () (_ @t11 @t270)) % 157.61/158.02 (define @t272 () (_ tptp.c_2Eoption_2ESOME_2E1 @t271)) % 157.61/158.02 (define @t273 () (_ @t73 @t272)) % 157.61/158.02 (define @t274 () (_ tptp.c_2Eoption_2EIS__SOME_2E1 @t273)) % 157.61/158.02 (define @t275 () (_ @t38 @t274)) % 157.61/158.02 (define @t276 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t275)) % 157.61/158.02 (define @t277 () (@list @t270)) % 157.61/158.02 (define @t278 () (forall @t277 (= @t276 tptp.mono_2Ec_2Ebool_2ET))) % 157.61/158.02 (define @t279 () (@var "V7x_2E0" tptp.u)) % 157.61/158.02 (define @t280 () (_ @t11 @t279)) % 157.61/158.02 (define @t281 () (_ tptp.c_2Eoption_2ESOME_2E1 @t280)) % 157.61/158.02 (define @t282 () (_ @t73 @t281)) % 157.61/158.02 (define @t283 () (not (= @t282 @t142))) % 157.61/158.02 (define @t284 () (@list @t279)) % 157.61/158.02 (define @t285 () (forall @t284 @t283)) % 157.61/158.02 (define @t286 () (@var "V6x_2E0" tptp.u)) % 157.61/158.02 (define @t287 () (_ @t11 @t286)) % 157.61/158.02 (define @t288 () (_ tptp.c_2Eoption_2ESOME_2E1 @t287)) % 157.61/158.02 (define @t289 () (_ @t73 @t288)) % 157.61/158.02 (define @t290 () (= @t142 @t289)) % 157.61/158.02 (define @t291 () (not @t290)) % 157.61/158.02 (define @t292 () (@list @t286)) % 157.61/158.02 (define @t293 () (forall @t292 @t291)) % 157.61/158.02 (define @t294 () (@var "V5x_2E0" tptp.u)) % 157.61/158.02 (define @t295 () (_ @t11 @t294)) % 157.61/158.02 (define @t296 () (_ tptp.c_2Eoption_2ESOME_2E1 @t295)) % 157.61/158.02 (define @t297 () (_ @t73 @t296)) % 157.61/158.02 (define @t298 () (_ tptp.c_2Eoption_2ETHE_2E1 @t297)) % 157.61/158.02 (define @t299 () (_ @t11 @t298)) % 157.61/158.02 (define @t300 () (@list @t294)) % 157.61/158.02 (define @t301 () (forall @t300 (= @t299 @t295))) % 157.61/158.02 (define @t302 () (@var "V4y_2E0" tptp.u)) % 157.61/158.02 (define @t303 () (_ @t11 @t302)) % 157.61/158.02 (define @t304 () (@var "V3x_2E0" tptp.u)) % 157.61/158.02 (define @t305 () (_ @t11 @t304)) % 157.61/158.02 (define @t306 () (_ tptp.c_2Eoption_2ESOME_2E1 @t303)) % 157.61/158.02 (define @t307 () (_ @t73 @t306)) % 157.61/158.02 (define @t308 () (_ tptp.c_2Eoption_2ESOME_2E1 @t305)) % 157.61/158.02 (define @t309 () (_ @t73 @t308)) % 157.61/158.02 (define @t310 () (= @t309 @t307)) % 157.61/158.02 (define @t311 () (= @t310 (= @t305 @t303))) % 157.61/158.02 (define @t312 () (@list @t304 @t302)) % 157.61/158.02 (define @t313 () (forall @t312 @t311)) % 157.61/158.02 (define @t314 () (and @t313 @t301 @t293 @t285 @t278 (= @t269 tptp.mono_2Ec_2Ebool_2EF) @t268 @t260 @t251 @t239 @t233 @t227 @t217 @t201 @t189 @t181 @t166 @t151 (= @t143 @t142) @t141)) % 157.61/158.02 (define @t315 () (@list @t3 @t2 @t8 @t192 @t208)) % 157.61/158.02 (define @t316 () (forall @t315 @t314)) % 157.61/158.02 (define @t317 () (@var "V4y0_2E0" tptp.u)) % 157.61/158.02 (define @t318 () (_ @t13 @t317)) % 157.61/158.02 (define @t319 () (@var "V3x0_2E0" tptp.u)) % 157.61/158.02 (define @t320 () (_ @t11 @t319)) % 157.61/158.02 (define @t321 () (@var "V0R_2E0" tptp.u)) % 157.61/158.02 (define @t322 () (_ @t103 @t321)) % 157.61/158.02 (define @t323 () (_ (_ tptp.app_2E2 @t322) @t320)) % 157.61/158.02 (define @t324 () (_ (_ tptp.s @t101) @t323)) % 157.61/158.02 (define @t325 () (_ (_ tptp.app_2E2 @t324) @t318)) % 157.61/158.02 (define @t326 () (_ @t38 @t325)) % 157.61/158.02 (define @t327 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t326)) % 157.61/158.02 (define @t328 () (_ tptp.c_2Eoption_2ESOME_2E1 @t318)) % 157.61/158.02 (define @t329 () (_ @t94 @t328)) % 157.61/158.02 (define @t330 () (@var "V2y_2E0" tptp.u)) % 157.61/158.02 (define @t331 () (_ @t94 @t330)) % 157.61/158.02 (define @t332 () (= @t331 @t329)) % 157.61/158.02 (define @t333 () (_ tptp.c_2Eoption_2ESOME_2E1 @t320)) % 157.61/158.02 (define @t334 () (_ @t73 @t333)) % 157.61/158.02 (define @t335 () (_ @t73 @t39)) % 157.61/158.02 (define @t336 () (= @t335 @t334)) % 157.61/158.02 (define @t337 () (and @t336 @t332 @t327)) % 157.61/158.02 (define @t338 () (@list @t319 @t317)) % 157.61/158.02 (define @t339 () (exists @t338 @t337)) % 157.61/158.02 (define @t340 () (and (= @t335 @t142) (= @t331 @t144))) % 157.61/158.02 (define @t341 () (or @t340 @t339)) % 157.61/158.02 (define @t342 () (_ (_ (_ tptp.c_2Eoption_2EOPTREL_2E3 @t322) @t335) @t331)) % 157.61/158.02 (define @t343 () (_ @t38 @t342)) % 157.61/158.02 (define @t344 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t343)) % 157.61/158.02 (define @t345 () (= @t344 @t341)) % 157.61/158.02 (define @t346 () (@list @t3 @t2 @t321 @t39 @t330)) % 157.61/158.02 (define @t347 () (forall @t346 @t345)) % 157.61/158.02 (define @t348 () (@var "V0y_2E0" tptp.u)) % 157.61/158.02 (define @t349 () (_ @t11 @t348)) % 157.61/158.02 (define @t350 () (@var "V2R_2E0" tptp.u)) % 157.61/158.02 (define @t351 () (_ @t71 @t350)) % 157.61/158.02 (define @t352 () (_ @t73 (_ tptp.c_2Eoption_2ESOME_2E1 @t349))) % 157.61/158.02 (define @t353 () (_ tptp.c_2Eoption_2EOPTREL_2E3 @t351)) % 157.61/158.02 (define @t354 () (_ @t353 (_ @t73 (_ tptp.c_2Eoption_2ESOME_2E1 @t40)))) % 157.61/158.02 (define @t355 () (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ @t354 @t352))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ (_ tptp.app_2E2 (_ @t42 (_ (_ tptp.app_2E2 @t351) @t40))) @t349))))) % 157.61/158.02 (define @t356 () (_ @t353 @t142)) % 157.61/158.02 (define @t357 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ @t356 @t352)))) % 157.61/158.02 (define @t358 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ @t354 @t142)))) % 157.61/158.02 (define @t359 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ @t356 @t142)))) % 157.61/158.02 (define @t360 () (and (= @t359 tptp.mono_2Ec_2Ebool_2ET) (= @t358 tptp.mono_2Ec_2Ebool_2EF) (= @t357 tptp.mono_2Ec_2Ebool_2EF) @t355)) % 157.61/158.02 (define @t361 () (@list @t3 @t348 @t39 @t350)) % 157.61/158.02 (define @t362 () (forall @t361 @t360)) % 157.61/158.02 (define @t363 () (not @t362)) % 157.61/158.02 (define @t364 () (@const 0 (@ho-elim-sort (-> tptp.d tptp.u tptp.du)))) % 157.61/158.02 (define @t365 () (@const 1 (-> (@ho-elim-sort (-> tptp.d tptp.u tptp.du)) tptp.d (@ho-elim-sort (-> tptp.u tptp.du))))) % 157.61/158.02 (define @t366 () (_ @t365 @t364 tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t367 () (@const 2 (-> (@ho-elim-sort (-> tptp.u tptp.du)) tptp.u tptp.du))) % 157.61/158.02 (define @t368 () (_ @t367 @t366 @t36)) % 157.61/158.02 (define @t369 () (@const 3 (@ho-elim-sort (-> tptp.du Bool)))) % 157.61/158.02 (define @t370 () (@const 4 (-> (@ho-elim-sort (-> tptp.du Bool)) tptp.du Bool))) % 157.61/158.02 (define @t371 () (@const 5 (@ho-elim-sort (-> Bool tptp.u)))) % 157.61/158.02 (define @t372 () (@const 6 (-> (@ho-elim-sort (-> Bool tptp.u)) Bool tptp.u))) % 157.61/158.02 (define @t373 () (forall @t51 (= @t368 (_ @t367 @t366 (_ @t372 @t371 (_ @t370 @t369 @t368)))))) % 157.61/158.02 (define @t374 () (tptp.s tptp.tyop_2Emin_2Ebool @t36)) % 157.61/158.02 (define @t375 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t374)) % 157.61/158.02 (define @t376 () (tptp.i_mono_2Etyop_2Emin_2Ebool @t375)) % 157.61/158.02 (define @t377 () (tptp.s tptp.tyop_2Emin_2Ebool @t376)) % 157.61/158.02 (define @t378 () (= @t47 @t50)) % 157.61/158.02 (define @t379 () (@var "BOUND_VARIABLE_10140" tptp.d)) % 157.61/158.02 (define @t380 () (@const 7 (@ho-elim-sort (-> tptp.d tptp.d)))) % 157.61/158.02 (define @t381 () (@const 8 (-> (@ho-elim-sort (-> tptp.d tptp.d)) tptp.d tptp.d))) % 157.61/158.02 (define @t382 () (_ @t365 @t364 (_ @t381 @t380 @t379))) % 157.61/158.02 (define @t383 () (@var "BOUND_VARIABLE_10144" tptp.u)) % 157.61/158.02 (define @t384 () (@const 9 (@ho-elim-sort (-> tptp.du tptp.u)))) % 157.61/158.02 (define @t385 () (@const 10 (-> (@ho-elim-sort (-> tptp.du tptp.u)) tptp.du tptp.u))) % 157.61/158.02 (define @t386 () (@var "BOUND_VARIABLE_10146" tptp.u)) % 157.61/158.02 (define @t387 () (@const 11 (@ho-elim-sort (-> tptp.d tptp.d tptp.d)))) % 157.61/158.02 (define @t388 () (@const 12 (-> (@ho-elim-sort (-> tptp.d tptp.d tptp.d)) tptp.d (@ho-elim-sort (-> tptp.d tptp.d))))) % 157.61/158.02 (define @t389 () (_ @t388 @t387 @t379)) % 157.61/158.02 (define @t390 () (@const 13 (@ho-elim-sort (-> tptp.du tptp.du tptp.du tptp.u)))) % 157.61/158.02 (define @t391 () (@const 14 (-> (@ho-elim-sort (-> tptp.du tptp.du tptp.du tptp.u)) tptp.du (@ho-elim-sort (-> tptp.du tptp.du tptp.u))))) % 157.61/158.02 (define @t392 () (@const 15 (-> (@ho-elim-sort (-> tptp.du tptp.du tptp.u)) tptp.du (@ho-elim-sort (-> tptp.du tptp.u))))) % 157.61/158.02 (define @t393 () (@list @t379 @t383 @t386)) % 157.61/158.02 (define @t394 () (forall @t393 (not (_ @t370 @t369 (_ @t367 @t366 (_ @t385 (_ @t392 (_ @t391 @t390 (_ @t367 (_ @t365 @t364 (_ @t381 @t389 (_ @t381 @t389 tptp.tyop_2Emin_2Ebool))) @t386)) (_ @t367 @t382 (_ @t385 @t384 (_ @t367 (_ @t365 @t364 @t379) @t383)))) (_ @t367 @t382 tptp.c_2Eoption_2ENONE_2E0))))))) % 157.61/158.02 (define @t395 () (@quantifiers_skolemize @t394 0)) % 157.61/158.02 (define @t396 () (_ @t381 @t380 @t395)) % 157.61/158.02 (define @t397 () (_ @t365 @t364 @t396)) % 157.61/158.02 (define @t398 () (_ @t367 @t397 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t399 () (@quantifiers_skolemize @t394 1)) % 157.61/158.02 (define @t400 () (_ @t365 @t364 @t395)) % 157.61/158.02 (define @t401 () (_ @t385 @t384 (_ @t367 @t400 @t399))) % 157.61/158.02 (define @t402 () (_ @t367 @t397 @t401)) % 157.61/158.02 (define @t403 () (@quantifiers_skolemize @t394 2)) % 157.61/158.02 (define @t404 () (_ @t388 @t387 @t395)) % 157.61/158.02 (define @t405 () (_ @t381 @t404 tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t406 () (_ @t367 (_ @t365 @t364 (_ @t381 @t404 @t405)) @t403)) % 157.61/158.02 (define @t407 () (_ @t385 (_ @t392 (_ @t391 @t390 @t406) @t402) @t398)) % 157.61/158.02 (define @t408 () (_ @t367 @t366 @t407)) % 157.61/158.02 (define @t409 () (_ @t370 @t369 @t408)) % 157.61/158.02 (define @t410 () (@purify @t409)) % 157.61/158.02 (define @t411 () (_ @t372 @t371 @t409)) % 157.61/158.02 (define @t412 () (_ @t367 @t366 @t411)) % 157.61/158.02 (define @t413 () (= @t408 @t412)) % 157.61/158.02 (define @t414 () (= @t408 (_ @t367 @t366 (_ @t372 @t371 @t410)))) % 157.61/158.02 (define @t415 () (@list false)) % 157.61/158.02 (define @t416 () (@list @t373)) % 157.61/158.02 (define @t417 () (_ @t367 (_ @t365 @t364 @t2) @t317)) % 157.61/158.02 (define @t418 () (_ @t367 (_ @t365 @t364 @t3) @t319)) % 157.61/158.02 (define @t419 () (_ @t381 (_ @t388 @t387 @t2) tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t420 () (_ @t367 (_ @t365 @t364 (_ @t381 (_ @t388 @t387 @t3) @t419)) @t321)) % 157.61/158.02 (define @t421 () (@const 16 (@ho-elim-sort (-> tptp.du tptp.du tptp.u)))) % 157.61/158.02 (define @t422 () (not (_ @t370 @t369 (_ @t367 @t366 (_ @t385 (_ @t392 @t421 (_ @t367 (_ @t365 @t364 @t419) (_ @t385 (_ @t392 @t421 @t420) @t418))) @t417))))) % 157.61/158.02 (define @t423 () (_ @t365 @t364 (_ @t381 @t380 @t2))) % 157.61/158.02 (define @t424 () (_ @t367 @t423 @t330)) % 157.61/158.02 (define @t425 () (_ @t367 @t423 (_ @t385 @t384 @t417))) % 157.61/158.02 (define @t426 () (_ @t381 @t380 @t3)) % 157.61/158.02 (define @t427 () (_ @t365 @t364 @t426)) % 157.61/158.02 (define @t428 () (_ @t367 @t427 @t39)) % 157.61/158.02 (define @t429 () (_ @t367 @t427 (_ @t385 @t384 @t418))) % 157.61/158.02 (define @t430 () (_ @t367 @t423 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t431 () (_ @t367 @t427 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t432 () (or (and (= @t428 @t431) (= @t424 @t430)) (not (forall @t338 (or (not (= @t429 @t428)) (not (= @t425 @t424)) @t422))))) % 157.61/158.02 (define @t433 () (_ @t370 @t369 (_ @t367 @t366 (_ @t385 (_ @t392 (_ @t391 @t390 @t420) @t428) @t424)))) % 157.61/158.02 (define @t434 () (not (= @t424 @t425))) % 157.61/158.02 (define @t435 () (not (= @t428 @t429))) % 157.61/158.02 (define @t436 () (or @t435 @t434 @t422)) % 157.61/158.02 (define @t437 () (forall @t338 @t436)) % 157.61/158.02 (define @t438 () (not @t437)) % 157.61/158.02 (define @t439 () (and (= @t431 @t428) (= @t430 @t424))) % 157.61/158.02 (define @t440 () (or @t439 @t438)) % 157.61/158.02 (define @t441 () (forall @t346 (= @t433 @t440))) % 157.61/158.02 (define @t442 () (tptp.s @t2 @t317)) % 157.61/158.02 (define @t443 () (tptp.s @t3 @t319)) % 157.61/158.02 (define @t444 () (tptp.tyop_2Emin_2Efun @t2 tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t445 () (tptp.tyop_2Emin_2Efun @t3 @t444)) % 157.61/158.02 (define @t446 () (tptp.s @t445 @t321)) % 157.61/158.02 (define @t447 () (tptp.app_2E2 @t446 @t443)) % 157.61/158.02 (define @t448 () (tptp.s @t444 @t447)) % 157.61/158.02 (define @t449 () (tptp.app_2E2 @t448 @t442)) % 157.61/158.02 (define @t450 () (tptp.s tptp.tyop_2Emin_2Ebool @t449)) % 157.61/158.02 (define @t451 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t450)) % 157.61/158.02 (define @t452 () (tptp.c_2Eoption_2ESOME_2E1 @t442)) % 157.61/158.02 (define @t453 () (tptp.tyop_2Eoption_2Eoption @t2)) % 157.61/158.02 (define @t454 () (tptp.s @t453 @t452)) % 157.61/158.02 (define @t455 () (tptp.s @t453 @t330)) % 157.61/158.02 (define @t456 () (tptp.c_2Eoption_2ESOME_2E1 @t443)) % 157.61/158.02 (define @t457 () (tptp.tyop_2Eoption_2Eoption @t3)) % 157.61/158.02 (define @t458 () (tptp.s @t457 @t456)) % 157.61/158.02 (define @t459 () (tptp.s @t457 @t39)) % 157.61/158.02 (define @t460 () (not (forall @t338 (or (not (= @t459 @t458)) (not (= @t455 @t454)) (not @t451))))) % 157.61/158.02 (define @t461 () (tptp.s @t453 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t462 () (tptp.s @t457 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t463 () (tptp.c_2Eoption_2EOPTREL_2E3 @t446 @t459 @t455)) % 157.61/158.02 (define @t464 () (tptp.s tptp.tyop_2Emin_2Ebool @t463)) % 157.61/158.02 (define @t465 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t464)) % 157.61/158.02 (define @t466 () (_ tptp.s @t453)) % 157.61/158.02 (define @t467 () (= @t144 @t331)) % 157.61/158.02 (define @t468 () (_ tptp.s @t457)) % 157.61/158.02 (define @t469 () (= @t142 @t335)) % 157.61/158.02 (define @t470 () (and @t469 @t467)) % 157.61/158.02 (define @t471 () (or @t470 @t460)) % 157.61/158.02 (define @t472 () (= @t344 @t471)) % 157.61/158.02 (define @t473 () (not @t327)) % 157.61/158.02 (define @t474 () (not @t332)) % 157.61/158.02 (define @t475 () (not @t336)) % 157.61/158.02 (define @t476 () (or @t475 @t474 @t473)) % 157.61/158.02 (define @t477 () (forall @t338 (not @t337))) % 157.61/158.02 (define @t478 () (not @t477)) % 157.61/158.02 (define @t479 () (_ @t367 @t400 @t317)) % 157.61/158.02 (define @t480 () (_ @t367 @t400 @t319)) % 157.61/158.02 (define @t481 () (_ @t392 @t421 @t406)) % 157.61/158.02 (define @t482 () (_ @t365 @t364 @t405)) % 157.61/158.02 (define @t483 () (not (_ @t370 @t369 (_ @t367 @t366 (_ @t385 (_ @t392 @t421 (_ @t367 @t482 (_ @t385 @t481 @t480))) @t479))))) % 157.61/158.02 (define @t484 () (_ @t367 @t397 (_ @t385 @t384 @t479))) % 157.61/158.02 (define @t485 () (not (= @t484 @t398))) % 157.61/158.02 (define @t486 () (_ @t367 @t397 (_ @t385 @t384 @t480))) % 157.61/158.02 (define @t487 () (not (= @t486 @t402))) % 157.61/158.02 (define @t488 () (or @t487 @t485 @t483)) % 157.61/158.02 (define @t489 () (forall @t338 @t488)) % 157.61/158.02 (define @t490 () (not @t489)) % 157.61/158.02 (define @t491 () (= @t402 @t398)) % 157.61/158.02 (define @t492 () (and @t491 (= @t398 @t398))) % 157.61/158.02 (define @t493 () (or @t492 @t490)) % 157.61/158.02 (define @t494 () (= @t409 @t493)) % 157.61/158.02 (define @t495 () (forall @t346 (= @t433 @t432))) % 157.61/158.02 (define @t496 () (forall @t338 (or (not (= @t402 @t486)) (not (= @t398 @t484)) @t483))) % 157.61/158.02 (define @t497 () (not @t496)) % 157.61/158.02 (define @t498 () (or @t491 @t497)) % 157.61/158.02 (define @t499 () (= @t409 @t498)) % 157.61/158.02 (define @t500 () (@list @t495)) % 157.61/158.02 (define @t501 () (@var "BOUND_VARIABLE_9912" tptp.d)) % 157.61/158.02 (define @t502 () (_ @t381 @t380 @t501)) % 157.61/158.02 (define @t503 () (_ @t365 @t364 @t502)) % 157.61/158.02 (define @t504 () (_ @t367 @t503 @t134)) % 157.61/158.02 (define @t505 () (@const 17 (@ho-elim-sort (-> tptp.du tptp.u)))) % 157.61/158.02 (define @t506 () (@list @t501 @t134)) % 157.61/158.02 (define @t507 () (forall @t506 (= @t504 (_ @t367 @t503 (_ @t385 @t505 (_ @t367 (_ @t365 @t364 (_ @t381 @t380 @t502)) (_ @t385 @t384 @t504))))))) % 157.61/158.02 (define @t508 () (@var "BOUND_VARIABLE_9890" tptp.d)) % 157.61/158.02 (define @t509 () (_ @t381 @t380 @t508)) % 157.61/158.02 (define @t510 () (_ @t365 @t364 @t509)) % 157.61/158.02 (define @t511 () (_ @t367 @t510 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t512 () (_ @t367 @t510 (_ @t385 @t505 (_ @t367 (_ @t365 @t364 (_ @t381 @t380 @t509)) tptp.c_2Eoption_2ENONE_2E0)))) % 157.61/158.02 (define @t513 () (@list @t508)) % 157.61/158.02 (define @t514 () (forall @t513 (= @t511 @t512))) % 157.61/158.02 (define @t515 () (@var "BOUND_VARIABLE_9867" tptp.d)) % 157.61/158.02 (define @t516 () (@var "BOUND_VARIABLE_9869" tptp.d)) % 157.61/158.02 (define @t517 () (@const 18 (@ho-elim-sort (-> tptp.du tptp.du tptp.u)))) % 157.61/158.02 (define @t518 () (_ @t365 @t364 (_ @t381 @t380 @t516))) % 157.61/158.02 (define @t519 () (_ @t367 @t518 (_ @t385 (_ @t392 @t517 (_ @t367 (_ @t365 @t364 (_ @t381 (_ @t388 @t387 @t515) @t516)) @t145)) (_ @t367 (_ @t365 @t364 (_ @t381 @t380 @t515)) tptp.c_2Eoption_2ENONE_2E0)))) % 157.61/158.02 (define @t520 () (_ @t367 @t518 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t521 () (@list @t515 @t516 @t145)) % 157.61/158.02 (define @t522 () (forall @t521 (= @t519 @t520))) % 157.61/158.02 (define @t523 () (@var "BOUND_VARIABLE_9839" tptp.d)) % 157.61/158.02 (define @t524 () (_ @t367 (_ @t365 @t364 @t523) @t152)) % 157.61/158.02 (define @t525 () (@var "BOUND_VARIABLE_9841" tptp.d)) % 157.61/158.02 (define @t526 () (_ @t367 (_ @t365 @t364 (_ @t381 (_ @t388 @t387 @t523) @t525)) @t154)) % 157.61/158.02 (define @t527 () (_ @t365 @t364 (_ @t381 @t380 @t525))) % 157.61/158.02 (define @t528 () (_ @t367 @t527 (_ @t385 (_ @t392 @t517 @t526) (_ @t367 (_ @t365 @t364 (_ @t381 @t380 @t523)) (_ @t385 @t384 @t524))))) % 157.61/158.02 (define @t529 () (_ @t367 @t527 (_ @t385 @t384 (_ @t367 (_ @t365 @t364 @t525) (_ @t385 (_ @t392 @t421 @t526) @t524))))) % 157.61/158.02 (define @t530 () (@list @t523 @t525 @t154 @t152)) % 157.61/158.02 (define @t531 () (forall @t530 (= @t528 @t529))) % 157.61/158.02 (define @t532 () (@var "BOUND_VARIABLE_9815" tptp.d)) % 157.61/158.02 (define @t533 () (@var "BOUND_VARIABLE_9813" tptp.d)) % 157.61/158.02 (define @t534 () (_ @t367 (_ @t365 @t364 (_ @t381 (_ @t388 @t387 @t533) @t532)) @t169)) % 157.61/158.02 (define @t535 () (_ @t365 @t364 @t532)) % 157.61/158.02 (define @t536 () (_ @t367 (_ @t365 @t364 @t533) @t167)) % 157.61/158.02 (define @t537 () (@const 19 (@ho-elim-sort (-> tptp.du tptp.du tptp.du tptp.u)))) % 157.61/158.02 (define @t538 () (_ @t367 @t535 (_ @t385 (_ @t392 (_ @t391 @t537 (_ @t367 (_ @t365 @t364 (_ @t381 @t380 @t533)) (_ @t385 @t384 @t536))) (_ @t367 @t535 @t173)) @t534))) % 157.61/158.02 (define @t539 () (_ @t367 @t535 (_ @t385 (_ @t392 @t421 @t534) @t536))) % 157.61/158.02 (define @t540 () (@list @t533 @t532 @t167 @t173 @t169)) % 157.61/158.02 (define @t541 () (forall @t540 (= @t538 @t539))) % 157.61/158.02 (define @t542 () (@var "BOUND_VARIABLE_9793" tptp.d)) % 157.61/158.02 (define @t543 () (@var "BOUND_VARIABLE_9791" tptp.d)) % 157.61/158.02 (define @t544 () (_ @t365 @t364 @t542)) % 157.61/158.02 (define @t545 () (_ @t367 @t544 @t182)) % 157.61/158.02 (define @t546 () (@list @t543 @t542 @t182 @t184)) % 157.61/158.02 (define @t547 () (forall @t546 (= @t545 (_ @t367 @t544 (_ @t385 (_ @t392 (_ @t391 @t537 (_ @t367 (_ @t365 @t364 (_ @t381 @t380 @t543)) tptp.c_2Eoption_2ENONE_2E0)) @t545) (_ @t367 (_ @t365 @t364 (_ @t381 (_ @t388 @t387 @t543) @t542)) @t184)))))) % 157.61/158.02 (define @t548 () (@var "BOUND_VARIABLE_9764" tptp.d)) % 157.61/158.02 (define @t549 () (_ @t381 @t380 @t548)) % 157.61/158.02 (define @t550 () (@var "BOUND_VARIABLE_9770" tptp.u)) % 157.61/158.02 (define @t551 () (_ @t365 @t364 @t549)) % 157.61/158.02 (define @t552 () (_ @t367 @t551 @t190)) % 157.61/158.02 (define @t553 () (@const 20 (@ho-elim-sort (-> tptp.du tptp.u)))) % 157.61/158.02 (define @t554 () (@list @t548 @t550 @t190)) % 157.61/158.02 (define @t555 () (forall @t554 (or (not (_ @t370 @t369 (_ @t367 @t366 (_ @t385 @t553 @t552)))) (= @t552 (_ @t367 @t551 (_ @t385 (_ @t392 (_ @t391 @t537 @t552) (_ @t367 @t551 @t550)) (_ @t367 (_ @t365 @t364 (_ @t381 (_ @t388 @t387 @t548) @t549)) tptp.c_2Eoption_2ESOME_2E0))))))) % 157.61/158.02 (define @t556 () (@var "BOUND_VARIABLE_9737" tptp.u)) % 157.61/158.02 (define @t557 () (@var "BOUND_VARIABLE_9735" tptp.d)) % 157.61/158.02 (define @t558 () (@var "BOUND_VARIABLE_9733" tptp.d)) % 157.61/158.02 (define @t559 () (_ @t367 (_ @t365 @t364 (_ @t381 (_ @t388 @t387 @t558) @t557)) @t556)) % 157.61/158.02 (define @t560 () (@var "BOUND_VARIABLE_9741" tptp.u)) % 157.61/158.02 (define @t561 () (_ @t365 @t364 @t557)) % 157.61/158.02 (define @t562 () (_ @t367 (_ @t365 @t364 (_ @t381 @t380 @t558)) @t202)) % 157.61/158.02 (define @t563 () (_ @t367 @t561 (_ @t385 (_ @t392 (_ @t391 @t537 @t562) (_ @t367 @t561 @t560)) @t559))) % 157.61/158.02 (define @t564 () (@const 21 (@ho-elim-sort (-> tptp.du tptp.u)))) % 157.61/158.02 (define @t565 () (_ @t367 @t561 (_ @t385 (_ @t392 @t421 @t559) (_ @t367 (_ @t365 @t364 @t558) (_ @t385 @t564 @t562))))) % 157.61/158.02 (define @t566 () (not (_ @t370 @t369 (_ @t367 @t366 (_ @t385 @t553 @t562))))) % 157.61/158.02 (define @t567 () (or @t566 (= @t563 @t565))) % 157.61/158.02 (define @t568 () (@list @t558 @t557 @t556 @t560 @t202)) % 157.61/158.02 (define @t569 () (forall @t568 @t567)) % 157.61/158.02 (define @t570 () (@var "BOUND_VARIABLE_9710" tptp.u)) % 157.61/158.02 (define @t571 () (@var "BOUND_VARIABLE_9708" tptp.d)) % 157.61/158.02 (define @t572 () (@var "BOUND_VARIABLE_9706" tptp.d)) % 157.61/158.02 (define @t573 () (@var "BOUND_VARIABLE_9714" tptp.u)) % 157.61/158.02 (define @t574 () (_ @t365 @t364 @t571)) % 157.61/158.02 (define @t575 () (_ @t367 @t574 @t573)) % 157.61/158.02 (define @t576 () (_ @t367 (_ @t365 @t364 (_ @t381 @t380 @t572)) @t218)) % 157.61/158.02 (define @t577 () (@const 22 (@ho-elim-sort (-> tptp.du tptp.u)))) % 157.61/158.02 (define @t578 () (@list @t572 @t571 @t570 @t573 @t218)) % 157.61/158.02 (define @t579 () (forall @t578 (or (not (_ @t370 @t369 (_ @t367 @t366 (_ @t385 @t577 @t576)))) (= @t575 (_ @t367 @t574 (_ @t385 (_ @t392 (_ @t391 @t537 @t576) @t575) (_ @t367 (_ @t365 @t364 (_ @t381 (_ @t388 @t387 @t572) @t571)) @t570))))))) % 157.61/158.02 (define @t580 () (@var "BOUND_VARIABLE_9686" tptp.d)) % 157.61/158.02 (define @t581 () (_ @t381 @t380 @t580)) % 157.61/158.02 (define @t582 () (_ @t365 @t364 @t581)) % 157.61/158.02 (define @t583 () (_ @t367 @t582 @t228)) % 157.61/158.02 (define @t584 () (@list @t580 @t228)) % 157.61/158.02 (define @t585 () (forall @t584 (= @t583 (_ @t367 @t582 (_ @t385 (_ @t392 (_ @t391 @t537 @t583) @t583) (_ @t367 (_ @t365 @t364 (_ @t381 (_ @t388 @t387 @t580) @t581)) tptp.c_2Eoption_2ESOME_2E0)))))) % 157.61/158.02 (define @t586 () (@var "BOUND_VARIABLE_9664" tptp.d)) % 157.61/158.02 (define @t587 () (_ @t381 @t380 @t586)) % 157.61/158.02 (define @t588 () (_ @t365 @t364 @t587)) % 157.61/158.02 (define @t589 () (_ @t367 @t588 @t234)) % 157.61/158.02 (define @t590 () (@list @t586 @t234)) % 157.61/158.02 (define @t591 () (forall @t590 (= @t589 (_ @t367 @t588 (_ @t385 (_ @t392 (_ @t391 @t537 @t589) (_ @t367 @t588 tptp.c_2Eoption_2ENONE_2E0)) (_ @t367 (_ @t365 @t364 (_ @t381 (_ @t388 @t387 @t586) @t587)) tptp.c_2Eoption_2ESOME_2E0)))))) % 157.61/158.02 (define @t592 () (@var "BOUND_VARIABLE_9638" tptp.d)) % 157.61/158.02 (define @t593 () (_ @t365 @t364 (_ @t381 @t380 @t592))) % 157.61/158.02 (define @t594 () (_ @t367 @t593 @t240)) % 157.61/158.02 (define @t595 () (@list @t592 @t240)) % 157.61/158.02 (define @t596 () (forall @t595 (or (not (_ @t370 @t369 (_ @t367 @t366 (_ @t385 @t553 @t594)))) (= @t594 (_ @t367 @t593 (_ @t385 @t384 (_ @t367 (_ @t365 @t364 @t592) (_ @t385 @t564 @t594)))))))) % 157.61/158.02 (define @t597 () (@var "BOUND_VARIABLE_9616" tptp.d)) % 157.61/158.02 (define @t598 () (_ @t365 @t364 (_ @t381 @t380 @t597))) % 157.61/158.02 (define @t599 () (_ @t367 @t598 @t252)) % 157.61/158.02 (define @t600 () (_ @t367 @t598 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t601 () (not (_ @t370 @t369 (_ @t367 @t366 (_ @t385 @t553 @t599))))) % 157.61/158.02 (define @t602 () (= @t599 @t600)) % 157.61/158.02 (define @t603 () (@list @t597 @t252)) % 157.61/158.02 (define @t604 () (forall @t603 (= @t601 @t602))) % 157.61/158.02 (define @t605 () (@var "BOUND_VARIABLE_9595" tptp.d)) % 157.61/158.02 (define @t606 () (_ @t365 @t364 (_ @t381 @t380 @t605))) % 157.61/158.02 (define @t607 () (_ @t367 @t606 @t261)) % 157.61/158.02 (define @t608 () (_ @t367 @t606 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t609 () (= @t608 @t607)) % 157.61/158.02 (define @t610 () (_ @t370 @t369 (_ @t367 @t366 (_ @t385 @t577 @t607)))) % 157.61/158.02 (define @t611 () (= @t607 @t608)) % 157.61/158.02 (define @t612 () (@list @t605 @t261)) % 157.61/158.02 (define @t613 () (forall @t612 (= @t610 @t611))) % 157.61/158.02 (define @t614 () (@var "BOUND_VARIABLE_9575" tptp.d)) % 157.61/158.02 (define @t615 () (@list @t614)) % 157.61/158.02 (define @t616 () (forall @t615 (not (_ @t370 @t369 (_ @t367 @t366 (_ @t385 @t553 (_ @t367 (_ @t365 @t364 (_ @t381 @t380 @t614)) tptp.c_2Eoption_2ENONE_2E0))))))) % 157.61/158.02 (define @t617 () (@var "BOUND_VARIABLE_9553" tptp.d)) % 157.61/158.02 (define @t618 () (@list @t617 @t270)) % 157.61/158.02 (define @t619 () (forall @t618 (_ @t370 @t369 (_ @t367 @t366 (_ @t385 @t553 (_ @t367 (_ @t365 @t364 (_ @t381 @t380 @t617)) (_ @t385 @t384 (_ @t367 (_ @t365 @t364 @t617) @t270)))))))) % 157.61/158.02 (define @t620 () (@var "BOUND_VARIABLE_9532" tptp.d)) % 157.61/158.02 (define @t621 () (_ @t365 @t364 (_ @t381 @t380 @t620))) % 157.61/158.02 (define @t622 () (_ @t367 @t621 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t623 () (_ @t367 @t621 (_ @t385 @t384 (_ @t367 (_ @t365 @t364 @t620) @t279)))) % 157.61/158.02 (define @t624 () (not (= @t622 @t623))) % 157.61/158.02 (define @t625 () (@list @t620 @t279)) % 157.61/158.02 (define @t626 () (forall @t625 @t624)) % 157.61/158.02 (define @t627 () (@var "BOUND_VARIABLE_9512" tptp.d)) % 157.61/158.02 (define @t628 () (_ @t365 @t364 (_ @t381 @t380 @t627))) % 157.61/158.02 (define @t629 () (_ @t367 @t628 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t630 () (_ @t367 @t628 (_ @t385 @t384 (_ @t367 (_ @t365 @t364 @t627) @t286)))) % 157.61/158.02 (define @t631 () (not (= @t629 @t630))) % 157.61/158.02 (define @t632 () (@list @t627 @t286)) % 157.61/158.02 (define @t633 () (forall @t632 @t631)) % 157.61/158.02 (define @t634 () (@var "BOUND_VARIABLE_9492" tptp.d)) % 157.61/158.02 (define @t635 () (_ @t365 @t364 @t634)) % 157.61/158.02 (define @t636 () (_ @t367 @t635 @t294)) % 157.61/158.02 (define @t637 () (@list @t634 @t294)) % 157.61/158.02 (define @t638 () (forall @t637 (= @t636 (_ @t367 @t635 (_ @t385 @t564 (_ @t367 (_ @t365 @t364 (_ @t381 @t380 @t634)) (_ @t385 @t384 @t636))))))) % 157.61/158.02 (define @t639 () (@var "BOUND_VARIABLE_9469" tptp.d)) % 157.61/158.02 (define @t640 () (_ @t365 @t364 @t639)) % 157.61/158.02 (define @t641 () (_ @t367 @t640 @t304)) % 157.61/158.02 (define @t642 () (_ @t365 @t364 (_ @t381 @t380 @t639))) % 157.61/158.02 (define @t643 () (_ @t367 @t642 (_ @t385 @t384 @t641))) % 157.61/158.02 (define @t644 () (_ @t367 @t640 @t302)) % 157.61/158.02 (define @t645 () (_ @t367 @t642 (_ @t385 @t384 @t644))) % 157.61/158.02 (define @t646 () (= @t643 @t645)) % 157.61/158.02 (define @t647 () (= @t641 @t644)) % 157.61/158.02 (define @t648 () (@list @t639 @t304 @t302)) % 157.61/158.02 (define @t649 () (forall @t648 (= @t646 @t647))) % 157.61/158.02 (define @t650 () (and @t649 @t638 @t633 @t626 @t619 @t616 @t613 @t604 @t596 @t591 @t585 @t579 @t569 @t555 @t547 @t541 @t531 @t522 @t514 @t507)) % 157.61/158.02 (define @t651 () (tptp.tyop_2Eoption_2Eoption @t501)) % 157.61/158.02 (define @t652 () (tptp.s @t651 @t134)) % 157.61/158.02 (define @t653 () (= @t652 (tptp.s @t651 (tptp.c_2Eoption_2EOPTION__JOIN_2E1 (tptp.s (tptp.tyop_2Eoption_2Eoption @t651) (tptp.c_2Eoption_2ESOME_2E1 @t652)))))) % 157.61/158.02 (define @t654 () (forall @t506 @t653)) % 157.61/158.02 (define @t655 () (tptp.tyop_2Eoption_2Eoption @t508)) % 157.61/158.02 (define @t656 () (tptp.tyop_2Eoption_2Eoption @t655)) % 157.61/158.02 (define @t657 () (tptp.s @t656 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t658 () (tptp.c_2Eoption_2EOPTION__JOIN_2E1 @t657)) % 157.61/158.02 (define @t659 () (tptp.s @t655 @t658)) % 157.61/158.02 (define @t660 () (tptp.s @t655 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t661 () (forall @t513 (= @t660 @t659))) % 157.61/158.02 (define @t662 () (tptp.tyop_2Eoption_2Eoption @t516)) % 157.61/158.02 (define @t663 () (= (tptp.s @t662 (tptp.c_2Eoption_2EOPTION__MAP_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t515 @t516) @t145) (tptp.s (tptp.tyop_2Eoption_2Eoption @t515) tptp.c_2Eoption_2ENONE_2E0))) (tptp.s @t662 tptp.c_2Eoption_2ENONE_2E0))) % 157.61/158.02 (define @t664 () (forall @t521 @t663)) % 157.61/158.02 (define @t665 () (tptp.s @t523 @t152)) % 157.61/158.02 (define @t666 () (tptp.s (tptp.tyop_2Emin_2Efun @t523 @t525) @t154)) % 157.61/158.02 (define @t667 () (tptp.tyop_2Eoption_2Eoption @t525)) % 157.61/158.02 (define @t668 () (= (tptp.s @t667 (tptp.c_2Eoption_2EOPTION__MAP_2E2 @t666 (tptp.s (tptp.tyop_2Eoption_2Eoption @t523) (tptp.c_2Eoption_2ESOME_2E1 @t665)))) (tptp.s @t667 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t525 (tptp.app_2E2 @t666 @t665)))))) % 157.61/158.02 (define @t669 () (forall @t530 @t668)) % 157.61/158.02 (define @t670 () (tptp.s @t533 @t167)) % 157.61/158.02 (define @t671 () (tptp.s (tptp.tyop_2Emin_2Efun @t533 @t532) @t169)) % 157.61/158.02 (define @t672 () (= (tptp.s @t532 (tptp.c_2Eoption_2Eoption__CASE_2E3 (tptp.s (tptp.tyop_2Eoption_2Eoption @t533) (tptp.c_2Eoption_2ESOME_2E1 @t670)) (tptp.s @t532 @t173) @t671)) (tptp.s @t532 (tptp.app_2E2 @t671 @t670)))) % 157.61/158.02 (define @t673 () (forall @t540 @t672)) % 157.61/158.02 (define @t674 () (tptp.s @t542 @t182)) % 157.61/158.02 (define @t675 () (= @t674 (tptp.s @t542 (tptp.c_2Eoption_2Eoption__CASE_2E3 (tptp.s (tptp.tyop_2Eoption_2Eoption @t543) tptp.c_2Eoption_2ENONE_2E0) @t674 (tptp.s (tptp.tyop_2Emin_2Efun @t543 @t542) @t184))))) % 157.61/158.02 (define @t676 () (forall @t546 @t675)) % 157.61/158.02 (define @t677 () (tptp.tyop_2Eoption_2Eoption @t548)) % 157.61/158.02 (define @t678 () (tptp.s @t677 @t190)) % 157.61/158.02 (define @t679 () (or (not (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t678)))) (= @t678 (tptp.s @t677 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t678 (tptp.s @t677 @t550) (tptp.s (tptp.tyop_2Emin_2Efun @t548 @t677) tptp.c_2Eoption_2ESOME_2E0)))))) % 157.61/158.02 (define @t680 () (forall @t554 @t679)) % 157.61/158.02 (define @t681 () (tptp.s (tptp.tyop_2Eoption_2Eoption @t558) @t202)) % 157.61/158.02 (define @t682 () (tptp.s (tptp.tyop_2Emin_2Efun @t558 @t557) @t556)) % 157.61/158.02 (define @t683 () (or (not (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t681)))) (= (tptp.s @t557 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t681 (tptp.s @t557 @t560) @t682)) (tptp.s @t557 (tptp.app_2E2 @t682 (tptp.s @t558 (tptp.c_2Eoption_2ETHE_2E1 @t681))))))) % 157.61/158.02 (define @t684 () (forall @t568 @t683)) % 157.61/158.02 (define @t685 () (tptp.s @t571 @t573)) % 157.61/158.02 (define @t686 () (tptp.s (tptp.tyop_2Eoption_2Eoption @t572) @t218)) % 157.61/158.02 (define @t687 () (or (not (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__NONE_2E1 @t686)))) (= @t685 (tptp.s @t571 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t686 @t685 (tptp.s (tptp.tyop_2Emin_2Efun @t572 @t571) @t570)))))) % 157.61/158.02 (define @t688 () (forall @t578 @t687)) % 157.61/158.02 (define @t689 () (tptp.tyop_2Eoption_2Eoption @t580)) % 157.61/158.02 (define @t690 () (tptp.s @t689 @t228)) % 157.61/158.02 (define @t691 () (= @t690 (tptp.s @t689 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t690 @t690 (tptp.s (tptp.tyop_2Emin_2Efun @t580 @t689) tptp.c_2Eoption_2ESOME_2E0))))) % 157.61/158.02 (define @t692 () (forall @t584 @t691)) % 157.61/158.02 (define @t693 () (tptp.tyop_2Eoption_2Eoption @t586)) % 157.61/158.02 (define @t694 () (tptp.s @t693 @t234)) % 157.61/158.02 (define @t695 () (= @t694 (tptp.s @t693 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t694 (tptp.s @t693 tptp.c_2Eoption_2ENONE_2E0) (tptp.s (tptp.tyop_2Emin_2Efun @t586 @t693) tptp.c_2Eoption_2ESOME_2E0))))) % 157.61/158.02 (define @t696 () (forall @t590 @t695)) % 157.61/158.02 (define @t697 () (tptp.tyop_2Eoption_2Eoption @t592)) % 157.61/158.02 (define @t698 () (tptp.s @t697 @t240)) % 157.61/158.02 (define @t699 () (or (not (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t698)))) (= @t698 (tptp.s @t697 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t592 (tptp.c_2Eoption_2ETHE_2E1 @t698))))))) % 157.61/158.02 (define @t700 () (forall @t595 @t699)) % 157.61/158.02 (define @t701 () (tptp.tyop_2Eoption_2Eoption @t597)) % 157.61/158.02 (define @t702 () (tptp.s @t701 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t703 () (tptp.s @t701 @t252)) % 157.61/158.02 (define @t704 () (not (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t703))))) % 157.61/158.02 (define @t705 () (= @t704 (= @t703 @t702))) % 157.61/158.02 (define @t706 () (forall @t603 @t705)) % 157.61/158.02 (define @t707 () (tptp.tyop_2Eoption_2Eoption @t605)) % 157.61/158.02 (define @t708 () (tptp.s @t707 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t709 () (tptp.s @t707 @t261)) % 157.61/158.02 (define @t710 () (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__NONE_2E1 @t709)))) % 157.61/158.02 (define @t711 () (= @t710 (= @t709 @t708))) % 157.61/158.02 (define @t712 () (forall @t612 @t711)) % 157.61/158.02 (define @t713 () (tptp.tyop_2Eoption_2Eoption @t614)) % 157.61/158.02 (define @t714 () (tptp.s @t713 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t715 () (tptp.c_2Eoption_2EIS__SOME_2E1 @t714)) % 157.61/158.02 (define @t716 () (tptp.s tptp.tyop_2Emin_2Ebool @t715)) % 157.61/158.02 (define @t717 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t716)) % 157.61/158.02 (define @t718 () (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 (tptp.s (tptp.tyop_2Eoption_2Eoption @t617) (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t617 @t270))))))) % 157.61/158.02 (define @t719 () (tptp.tyop_2Eoption_2Eoption @t620)) % 157.61/158.02 (define @t720 () (not (= (tptp.s @t719 tptp.c_2Eoption_2ENONE_2E0) (tptp.s @t719 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t620 @t279)))))) % 157.61/158.02 (define @t721 () (forall @t625 @t720)) % 157.61/158.02 (define @t722 () (tptp.tyop_2Eoption_2Eoption @t627)) % 157.61/158.02 (define @t723 () (not (= (tptp.s @t722 tptp.c_2Eoption_2ENONE_2E0) (tptp.s @t722 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t627 @t286)))))) % 157.61/158.02 (define @t724 () (forall @t632 @t723)) % 157.61/158.02 (define @t725 () (tptp.s @t634 @t294)) % 157.61/158.02 (define @t726 () (= @t725 (tptp.s @t634 (tptp.c_2Eoption_2ETHE_2E1 (tptp.s (tptp.tyop_2Eoption_2Eoption @t634) (tptp.c_2Eoption_2ESOME_2E1 @t725)))))) % 157.61/158.02 (define @t727 () (forall @t637 @t726)) % 157.61/158.02 (define @t728 () (tptp.s @t639 @t302)) % 157.61/158.02 (define @t729 () (tptp.s @t639 @t304)) % 157.61/158.02 (define @t730 () (tptp.tyop_2Eoption_2Eoption @t639)) % 157.61/158.02 (define @t731 () (= (= (tptp.s @t730 (tptp.c_2Eoption_2ESOME_2E1 @t729)) (tptp.s @t730 (tptp.c_2Eoption_2ESOME_2E1 @t728))) (= @t729 @t728))) % 157.61/158.02 (define @t732 () (forall @t648 @t731)) % 157.61/158.02 (define @t733 () (forall @t615 (= false @t717))) % 157.61/158.02 (define @t734 () (forall @t618 (= true @t718))) % 157.61/158.02 (define @t735 () (forall @t128 @t127)) % 157.61/158.02 (define @t736 () (or @t131 @t735)) % 157.61/158.02 (define @t737 () (= tptp.mono_2Ec_2Ebool_2EF @t717)) % 157.61/158.02 (define @t738 () (forall @t615 @t737)) % 157.61/158.02 (define @t739 () (= tptp.mono_2Ec_2Ebool_2ET @t718)) % 157.61/158.02 (define @t740 () (forall @t618 @t739)) % 157.61/158.02 (define @t741 () (@var "BOUND_VARIABLE_9920" tptp.u)) % 157.61/158.02 (define @t742 () (@var "BOUND_VARIABLE_9918" tptp.u)) % 157.61/158.02 (define @t743 () (@var "BOUND_VARIABLE_9916" tptp.u)) % 157.61/158.02 (define @t744 () (@var "BOUND_VARIABLE_9914" tptp.d)) % 157.61/158.02 (define @t745 () (forall (@list @t501 @t744 @t743 @t742 @t741 @t134) @t653)) % 157.61/158.02 (define @t746 () (forall (@list @t501 @t744 @t743 @t742 @t741) (forall @t140 @t653))) % 157.61/158.02 (define @t747 () (_ tptp.tyop_2Eoption_2Eoption @t508)) % 157.61/158.02 (define @t748 () (_ tptp.tyop_2Eoption_2Eoption @t747)) % 157.61/158.02 (define @t749 () (_ (_ tptp.s @t748) tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t750 () (_ tptp.c_2Eoption_2EOPTION__JOIN_2E1 @t749)) % 157.61/158.02 (define @t751 () (_ tptp.s @t655)) % 157.61/158.02 (define @t752 () (_ tptp.s @t747)) % 157.61/158.02 (define @t753 () (_ @t752 @t750)) % 157.61/158.02 (define @t754 () (_ @t752 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t755 () (= @t754 @t753)) % 157.61/158.02 (define @t756 () (forall @t513 @t755)) % 157.61/158.02 (define @t757 () (@var "BOUND_VARIABLE_9898" tptp.u)) % 157.61/158.02 (define @t758 () (@var "BOUND_VARIABLE_9896" tptp.u)) % 157.61/158.02 (define @t759 () (@var "BOUND_VARIABLE_9894" tptp.u)) % 157.61/158.02 (define @t760 () (@var "BOUND_VARIABLE_9892" tptp.d)) % 157.61/158.02 (define @t761 () (forall (@list @t508 @t760 @t759 @t758 @t757) @t755)) % 157.61/158.02 (define @t762 () (@var "BOUND_VARIABLE_9875" tptp.u)) % 157.61/158.02 (define @t763 () (@var "BOUND_VARIABLE_9873" tptp.u)) % 157.61/158.02 (define @t764 () (@var "BOUND_VARIABLE_9871" tptp.u)) % 157.61/158.02 (define @t765 () (forall (@list @t515 @t516 @t764 @t763 @t762 @t145) @t663)) % 157.61/158.02 (define @t766 () (forall (@list @t515 @t516 @t764 @t763 @t762) (forall @t150 @t663))) % 157.61/158.02 (define @t767 () (@var "BOUND_VARIABLE_9847" tptp.u)) % 157.61/158.02 (define @t768 () (@var "BOUND_VARIABLE_9845" tptp.u)) % 157.61/158.02 (define @t769 () (@var "BOUND_VARIABLE_9843" tptp.u)) % 157.61/158.02 (define @t770 () (forall (@list @t523 @t525 @t769 @t768 @t767 @t154 @t152) @t668)) % 157.61/158.02 (define @t771 () (forall (@list @t523 @t525 @t769 @t768 @t767) (forall @t165 @t668))) % 157.61/158.02 (define @t772 () (@var "BOUND_VARIABLE_9821" tptp.u)) % 157.61/158.02 (define @t773 () (@var "BOUND_VARIABLE_9819" tptp.u)) % 157.61/158.02 (define @t774 () (@var "BOUND_VARIABLE_9817" tptp.u)) % 157.61/158.02 (define @t775 () (forall (@list @t533 @t532 @t774 @t773 @t772 @t167 @t173 @t169) @t672)) % 157.61/158.02 (define @t776 () (forall (@list @t533 @t532 @t774 @t773 @t772) (forall @t180 @t672))) % 157.61/158.02 (define @t777 () (@var "BOUND_VARIABLE_9799" tptp.u)) % 157.61/158.02 (define @t778 () (@var "BOUND_VARIABLE_9797" tptp.u)) % 157.61/158.02 (define @t779 () (@var "BOUND_VARIABLE_9795" tptp.u)) % 157.61/158.02 (define @t780 () (forall (@list @t543 @t542 @t779 @t778 @t777 @t182 @t184) @t675)) % 157.61/158.02 (define @t781 () (forall (@list @t543 @t542 @t779 @t778 @t777) (forall @t188 @t675))) % 157.61/158.02 (define @t782 () (@var "BOUND_VARIABLE_9772" tptp.u)) % 157.61/158.02 (define @t783 () (@var "BOUND_VARIABLE_9768" tptp.u)) % 157.61/158.02 (define @t784 () (@var "BOUND_VARIABLE_9766" tptp.d)) % 157.61/158.02 (define @t785 () (forall (@list @t548 @t784 @t783 @t550 @t782 @t190) @t679)) % 157.61/158.02 (define @t786 () (forall (@list @t548 @t784 @t783 @t550 @t782) (forall @t200 @t679))) % 157.61/158.02 (define @t787 () (@var "BOUND_VARIABLE_9739" tptp.u)) % 157.61/158.02 (define @t788 () (forall (@list @t558 @t557 @t556 @t787 @t560 @t202) @t683)) % 157.61/158.02 (define @t789 () (forall (@list @t558 @t557 @t556 @t787 @t560) (forall @t216 @t683))) % 157.61/158.02 (define @t790 () (@var "BOUND_VARIABLE_9712" tptp.u)) % 157.61/158.02 (define @t791 () (forall (@list @t572 @t571 @t570 @t790 @t573 @t218) @t687)) % 157.61/158.02 (define @t792 () (forall (@list @t572 @t571 @t570 @t790 @t573) (forall @t226 @t687))) % 157.61/158.02 (define @t793 () (@var "BOUND_VARIABLE_9694" tptp.u)) % 157.61/158.02 (define @t794 () (@var "BOUND_VARIABLE_9692" tptp.u)) % 157.61/158.02 (define @t795 () (@var "BOUND_VARIABLE_9690" tptp.u)) % 157.61/158.02 (define @t796 () (@var "BOUND_VARIABLE_9688" tptp.d)) % 157.61/158.02 (define @t797 () (forall (@list @t580 @t796 @t795 @t794 @t793 @t228) @t691)) % 157.61/158.02 (define @t798 () (forall (@list @t580 @t796 @t795 @t794 @t793) (forall @t232 @t691))) % 157.61/158.02 (define @t799 () (@var "BOUND_VARIABLE_9672" tptp.u)) % 157.61/158.02 (define @t800 () (@var "BOUND_VARIABLE_9670" tptp.u)) % 157.61/158.02 (define @t801 () (@var "BOUND_VARIABLE_9668" tptp.u)) % 157.61/158.02 (define @t802 () (@var "BOUND_VARIABLE_9666" tptp.d)) % 157.61/158.02 (define @t803 () (forall (@list @t586 @t802 @t801 @t800 @t799 @t234) @t695)) % 157.61/158.02 (define @t804 () (forall (@list @t586 @t802 @t801 @t800 @t799) (forall @t238 @t695))) % 157.61/158.02 (define @t805 () (@var "BOUND_VARIABLE_9646" tptp.u)) % 157.61/158.02 (define @t806 () (@var "BOUND_VARIABLE_9644" tptp.u)) % 157.61/158.02 (define @t807 () (@var "BOUND_VARIABLE_9642" tptp.u)) % 157.61/158.02 (define @t808 () (@var "BOUND_VARIABLE_9640" tptp.d)) % 157.61/158.02 (define @t809 () (forall (@list @t592 @t808 @t807 @t806 @t805 @t240) @t699)) % 157.61/158.02 (define @t810 () (forall (@list @t592 @t808 @t807 @t806 @t805) (forall @t250 @t699))) % 157.61/158.02 (define @t811 () (@var "BOUND_VARIABLE_9624" tptp.u)) % 157.61/158.02 (define @t812 () (@var "BOUND_VARIABLE_9622" tptp.u)) % 157.61/158.02 (define @t813 () (@var "BOUND_VARIABLE_9620" tptp.u)) % 157.61/158.02 (define @t814 () (@var "BOUND_VARIABLE_9618" tptp.d)) % 157.61/158.02 (define @t815 () (@list @t597 @t814 @t813 @t812 @t811 @t252)) % 157.61/158.02 (define @t816 () (= @t704 (= @t702 @t703))) % 157.61/158.02 (define @t817 () (forall @t815 @t816)) % 157.61/158.02 (define @t818 () (forall (@list @t597 @t814 @t813 @t812 @t811) (forall @t259 @t816))) % 157.61/158.02 (define @t819 () (@var "BOUND_VARIABLE_9603" tptp.u)) % 157.61/158.02 (define @t820 () (@var "BOUND_VARIABLE_9601" tptp.u)) % 157.61/158.02 (define @t821 () (@var "BOUND_VARIABLE_9599" tptp.u)) % 157.61/158.02 (define @t822 () (@var "BOUND_VARIABLE_9597" tptp.d)) % 157.61/158.02 (define @t823 () (@list @t605 @t822 @t821 @t820 @t819 @t261)) % 157.61/158.02 (define @t824 () (= @t710 (= @t708 @t709))) % 157.61/158.02 (define @t825 () (forall @t823 @t824)) % 157.61/158.02 (define @t826 () (forall (@list @t605 @t822 @t821 @t820 @t819) (forall @t267 @t824))) % 157.61/158.02 (define @t827 () (_ tptp.tyop_2Eoption_2Eoption @t614)) % 157.61/158.02 (define @t828 () (_ (_ tptp.s @t827) tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t829 () (_ tptp.c_2Eoption_2EIS__SOME_2E1 @t828)) % 157.61/158.02 (define @t830 () (_ @t38 @t829)) % 157.61/158.02 (define @t831 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t830)) % 157.61/158.02 (define @t832 () (= tptp.mono_2Ec_2Ebool_2EF @t831)) % 157.61/158.02 (define @t833 () (forall @t615 @t832)) % 157.61/158.02 (define @t834 () (@var "BOUND_VARIABLE_9583" tptp.u)) % 157.61/158.02 (define @t835 () (@var "BOUND_VARIABLE_9581" tptp.u)) % 157.61/158.02 (define @t836 () (@var "BOUND_VARIABLE_9579" tptp.u)) % 157.61/158.02 (define @t837 () (@var "BOUND_VARIABLE_9577" tptp.d)) % 157.61/158.02 (define @t838 () (forall (@list @t614 @t837 @t836 @t835 @t834) @t832)) % 157.61/158.02 (define @t839 () (@var "BOUND_VARIABLE_9561" tptp.u)) % 157.61/158.02 (define @t840 () (@var "BOUND_VARIABLE_9559" tptp.u)) % 157.61/158.02 (define @t841 () (@var "BOUND_VARIABLE_9557" tptp.u)) % 157.61/158.02 (define @t842 () (@var "BOUND_VARIABLE_9555" tptp.d)) % 157.61/158.02 (define @t843 () (forall (@list @t617 @t842 @t841 @t840 @t839 @t270) @t739)) % 157.61/158.02 (define @t844 () (forall (@list @t617 @t842 @t841 @t840 @t839) (forall @t277 @t739))) % 157.61/158.02 (define @t845 () (@var "BOUND_VARIABLE_9540" tptp.u)) % 157.61/158.02 (define @t846 () (@var "BOUND_VARIABLE_9538" tptp.u)) % 157.61/158.02 (define @t847 () (@var "BOUND_VARIABLE_9536" tptp.u)) % 157.61/158.02 (define @t848 () (@var "BOUND_VARIABLE_9534" tptp.d)) % 157.61/158.02 (define @t849 () (forall (@list @t620 @t848 @t847 @t846 @t845 @t279) @t720)) % 157.61/158.02 (define @t850 () (forall (@list @t620 @t848 @t847 @t846 @t845) (forall @t284 @t720))) % 157.61/158.02 (define @t851 () (@var "BOUND_VARIABLE_9520" tptp.u)) % 157.61/158.02 (define @t852 () (@var "BOUND_VARIABLE_9518" tptp.u)) % 157.61/158.02 (define @t853 () (@var "BOUND_VARIABLE_9516" tptp.u)) % 157.61/158.02 (define @t854 () (@var "BOUND_VARIABLE_9514" tptp.d)) % 157.61/158.02 (define @t855 () (forall (@list @t627 @t854 @t853 @t852 @t851 @t286) @t723)) % 157.61/158.02 (define @t856 () (forall (@list @t627 @t854 @t853 @t852 @t851) (forall @t292 @t723))) % 157.61/158.02 (define @t857 () (@var "BOUND_VARIABLE_9500" tptp.u)) % 157.61/158.02 (define @t858 () (@var "BOUND_VARIABLE_9498" tptp.u)) % 157.61/158.02 (define @t859 () (@var "BOUND_VARIABLE_9496" tptp.u)) % 157.61/158.02 (define @t860 () (@var "BOUND_VARIABLE_9494" tptp.d)) % 157.61/158.02 (define @t861 () (forall (@list @t634 @t860 @t859 @t858 @t857 @t294) @t726)) % 157.61/158.02 (define @t862 () (forall (@list @t634 @t860 @t859 @t858 @t857) (forall @t300 @t726))) % 157.61/158.02 (define @t863 () (@var "BOUND_VARIABLE_9477" tptp.u)) % 157.61/158.02 (define @t864 () (@var "BOUND_VARIABLE_9475" tptp.u)) % 157.61/158.02 (define @t865 () (@var "BOUND_VARIABLE_9473" tptp.u)) % 157.61/158.02 (define @t866 () (@var "BOUND_VARIABLE_9471" tptp.d)) % 157.61/158.02 (define @t867 () (forall (@list @t639 @t866 @t865 @t864 @t863 @t304 @t302) @t731)) % 157.61/158.02 (define @t868 () (forall (@list @t639 @t866 @t865 @t864 @t863) (forall @t312 @t731))) % 157.61/158.02 (define @t869 () (tptp.s @t457 @t134)) % 157.61/158.02 (define @t870 () (tptp.c_2Eoption_2ESOME_2E1 @t869)) % 157.61/158.02 (define @t871 () (tptp.tyop_2Eoption_2Eoption @t457)) % 157.61/158.02 (define @t872 () (tptp.s @t871 @t870)) % 157.61/158.02 (define @t873 () (tptp.c_2Eoption_2EOPTION__JOIN_2E1 @t872)) % 157.61/158.02 (define @t874 () (tptp.s @t457 @t873)) % 157.61/158.02 (define @t875 () (forall @t140 (= @t869 @t874))) % 157.61/158.02 (define @t876 () (forall @t315 @t875)) % 157.61/158.02 (define @t877 () (@list @t3 @t2 @t8 @t192 @t208)) % 157.61/158.02 (define @t878 () (= @t142 @t143)) % 157.61/158.02 (define @t879 () (forall @t315 @t878)) % 157.61/158.02 (define @t880 () (tptp.tyop_2Emin_2Efun @t3 @t2)) % 157.61/158.02 (define @t881 () (tptp.s @t880 @t145)) % 157.61/158.02 (define @t882 () (tptp.c_2Eoption_2EOPTION__MAP_2E2 @t881 @t462)) % 157.61/158.02 (define @t883 () (tptp.s @t453 @t882)) % 157.61/158.02 (define @t884 () (forall @t150 (= @t883 @t461))) % 157.61/158.02 (define @t885 () (forall @t315 @t884)) % 157.61/158.02 (define @t886 () (tptp.s @t3 @t152)) % 157.61/158.02 (define @t887 () (tptp.s @t880 @t154)) % 157.61/158.02 (define @t888 () (tptp.app_2E2 @t887 @t886)) % 157.61/158.02 (define @t889 () (tptp.s @t2 @t888)) % 157.61/158.02 (define @t890 () (tptp.c_2Eoption_2ESOME_2E1 @t889)) % 157.61/158.02 (define @t891 () (tptp.s @t453 @t890)) % 157.61/158.02 (define @t892 () (tptp.c_2Eoption_2ESOME_2E1 @t886)) % 157.61/158.02 (define @t893 () (tptp.s @t457 @t892)) % 157.61/158.02 (define @t894 () (tptp.c_2Eoption_2EOPTION__MAP_2E2 @t887 @t893)) % 157.61/158.02 (define @t895 () (tptp.s @t453 @t894)) % 157.61/158.02 (define @t896 () (forall @t165 (= @t895 @t891))) % 157.61/158.02 (define @t897 () (forall @t315 @t896)) % 157.61/158.02 (define @t898 () (tptp.s @t3 @t167)) % 157.61/158.02 (define @t899 () (tptp.s @t880 @t169)) % 157.61/158.02 (define @t900 () (tptp.app_2E2 @t899 @t898)) % 157.61/158.02 (define @t901 () (tptp.s @t2 @t900)) % 157.61/158.02 (define @t902 () (tptp.s @t2 @t173)) % 157.61/158.02 (define @t903 () (tptp.c_2Eoption_2ESOME_2E1 @t898)) % 157.61/158.02 (define @t904 () (tptp.s @t457 @t903)) % 157.61/158.02 (define @t905 () (tptp.c_2Eoption_2Eoption__CASE_2E3 @t904 @t902 @t899)) % 157.61/158.02 (define @t906 () (tptp.s @t2 @t905)) % 157.61/158.02 (define @t907 () (forall @t180 (= @t906 @t901))) % 157.61/158.02 (define @t908 () (forall @t315 @t907)) % 157.61/158.02 (define @t909 () (tptp.s @t880 @t184)) % 157.61/158.02 (define @t910 () (tptp.s @t2 @t182)) % 157.61/158.02 (define @t911 () (tptp.c_2Eoption_2Eoption__CASE_2E3 @t462 @t910 @t909)) % 157.61/158.02 (define @t912 () (tptp.s @t2 @t911)) % 157.61/158.02 (define @t913 () (forall @t188 (= @t910 @t912))) % 157.61/158.02 (define @t914 () (forall @t315 @t913)) % 157.61/158.02 (define @t915 () (tptp.tyop_2Emin_2Efun @t3 @t457)) % 157.61/158.02 (define @t916 () (tptp.s @t915 tptp.c_2Eoption_2ESOME_2E0)) % 157.61/158.02 (define @t917 () (tptp.s @t457 @t192)) % 157.61/158.02 (define @t918 () (tptp.s @t457 @t190)) % 157.61/158.02 (define @t919 () (tptp.c_2Eoption_2Eoption__CASE_2E3 @t918 @t917 @t916)) % 157.61/158.02 (define @t920 () (tptp.s @t457 @t919)) % 157.61/158.02 (define @t921 () (tptp.c_2Eoption_2EIS__SOME_2E1 @t918)) % 157.61/158.02 (define @t922 () (tptp.s tptp.tyop_2Emin_2Ebool @t921)) % 157.61/158.02 (define @t923 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t922)) % 157.61/158.02 (define @t924 () (forall @t200 (or (not @t923) (= @t918 @t920)))) % 157.61/158.02 (define @t925 () (forall @t315 @t924)) % 157.61/158.02 (define @t926 () (tptp.s @t457 @t202)) % 157.61/158.02 (define @t927 () (tptp.c_2Eoption_2ETHE_2E1 @t926)) % 157.61/158.02 (define @t928 () (tptp.s @t3 @t927)) % 157.61/158.02 (define @t929 () (tptp.s @t880 @t8)) % 157.61/158.02 (define @t930 () (tptp.app_2E2 @t929 @t928)) % 157.61/158.02 (define @t931 () (tptp.s @t2 @t930)) % 157.61/158.02 (define @t932 () (tptp.s @t2 @t208)) % 157.61/158.02 (define @t933 () (tptp.c_2Eoption_2Eoption__CASE_2E3 @t926 @t932 @t929)) % 157.61/158.02 (define @t934 () (tptp.s @t2 @t933)) % 157.61/158.02 (define @t935 () (tptp.c_2Eoption_2EIS__SOME_2E1 @t926)) % 157.61/158.02 (define @t936 () (tptp.s tptp.tyop_2Emin_2Ebool @t935)) % 157.61/158.02 (define @t937 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t936)) % 157.61/158.02 (define @t938 () (forall @t216 (or (not @t937) (= @t934 @t931)))) % 157.61/158.02 (define @t939 () (forall @t315 @t938)) % 157.61/158.02 (define @t940 () (tptp.s @t457 @t218)) % 157.61/158.02 (define @t941 () (tptp.c_2Eoption_2Eoption__CASE_2E3 @t940 @t932 @t929)) % 157.61/158.02 (define @t942 () (tptp.s @t2 @t941)) % 157.61/158.02 (define @t943 () (tptp.c_2Eoption_2EIS__NONE_2E1 @t940)) % 157.61/158.02 (define @t944 () (tptp.s tptp.tyop_2Emin_2Ebool @t943)) % 157.61/158.02 (define @t945 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t944)) % 157.61/158.02 (define @t946 () (forall @t226 (or (not @t945) (= @t932 @t942)))) % 157.61/158.02 (define @t947 () (forall @t315 @t946)) % 157.61/158.02 (define @t948 () (tptp.s @t457 @t228)) % 157.61/158.02 (define @t949 () (tptp.c_2Eoption_2Eoption__CASE_2E3 @t948 @t948 @t916)) % 157.61/158.02 (define @t950 () (tptp.s @t457 @t949)) % 157.61/158.02 (define @t951 () (forall @t232 (= @t948 @t950))) % 157.61/158.02 (define @t952 () (forall @t315 @t951)) % 157.61/158.02 (define @t953 () (tptp.s @t457 @t234)) % 157.61/158.02 (define @t954 () (tptp.c_2Eoption_2Eoption__CASE_2E3 @t953 @t462 @t916)) % 157.61/158.02 (define @t955 () (tptp.s @t457 @t954)) % 157.61/158.02 (define @t956 () (forall @t238 (= @t953 @t955))) % 157.61/158.02 (define @t957 () (forall @t315 @t956)) % 157.61/158.02 (define @t958 () (tptp.s @t457 @t240)) % 157.61/158.02 (define @t959 () (tptp.c_2Eoption_2ETHE_2E1 @t958)) % 157.61/158.02 (define @t960 () (tptp.s @t3 @t959)) % 157.61/158.02 (define @t961 () (tptp.c_2Eoption_2ESOME_2E1 @t960)) % 157.61/158.02 (define @t962 () (tptp.s @t457 @t961)) % 157.61/158.02 (define @t963 () (tptp.c_2Eoption_2EIS__SOME_2E1 @t958)) % 157.61/158.02 (define @t964 () (tptp.s tptp.tyop_2Emin_2Ebool @t963)) % 157.61/158.02 (define @t965 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t964)) % 157.61/158.02 (define @t966 () (forall @t250 (or (not @t965) (= @t958 @t962)))) % 157.61/158.02 (define @t967 () (forall @t315 @t966)) % 157.61/158.02 (define @t968 () (tptp.s @t457 @t252)) % 157.61/158.02 (define @t969 () (tptp.c_2Eoption_2EIS__SOME_2E1 @t968)) % 157.61/158.02 (define @t970 () (tptp.s tptp.tyop_2Emin_2Ebool @t969)) % 157.61/158.02 (define @t971 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t970)) % 157.61/158.02 (define @t972 () (forall @t259 (= (not @t971) (= @t462 @t968)))) % 157.61/158.02 (define @t973 () (forall @t315 @t972)) % 157.61/158.02 (define @t974 () (tptp.s @t457 @t261)) % 157.61/158.02 (define @t975 () (tptp.c_2Eoption_2EIS__NONE_2E1 @t974)) % 157.61/158.02 (define @t976 () (tptp.s tptp.tyop_2Emin_2Ebool @t975)) % 157.61/158.02 (define @t977 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t976)) % 157.61/158.02 (define @t978 () (forall @t267 (= @t977 (= @t462 @t974)))) % 157.61/158.02 (define @t979 () (forall @t315 @t978)) % 157.61/158.02 (define @t980 () (= tptp.mono_2Ec_2Ebool_2EF @t269)) % 157.61/158.02 (define @t981 () (forall @t315 @t980)) % 157.61/158.02 (define @t982 () (tptp.s @t3 @t270)) % 157.61/158.02 (define @t983 () (tptp.c_2Eoption_2ESOME_2E1 @t982)) % 157.61/158.02 (define @t984 () (tptp.s @t457 @t983)) % 157.61/158.02 (define @t985 () (tptp.c_2Eoption_2EIS__SOME_2E1 @t984)) % 157.61/158.02 (define @t986 () (tptp.s tptp.tyop_2Emin_2Ebool @t985)) % 157.61/158.02 (define @t987 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t986)) % 157.61/158.02 (define @t988 () (forall @t277 (= tptp.mono_2Ec_2Ebool_2ET @t987))) % 157.61/158.02 (define @t989 () (forall @t315 @t988)) % 157.61/158.02 (define @t990 () (tptp.s @t3 @t279)) % 157.61/158.02 (define @t991 () (tptp.c_2Eoption_2ESOME_2E1 @t990)) % 157.61/158.02 (define @t992 () (tptp.s @t457 @t991)) % 157.61/158.02 (define @t993 () (forall @t284 (not (= @t462 @t992)))) % 157.61/158.02 (define @t994 () (forall @t315 @t993)) % 157.61/158.02 (define @t995 () (tptp.s @t3 @t286)) % 157.61/158.02 (define @t996 () (tptp.c_2Eoption_2ESOME_2E1 @t995)) % 157.61/158.02 (define @t997 () (tptp.s @t457 @t996)) % 157.61/158.02 (define @t998 () (forall @t292 (not (= @t462 @t997)))) % 157.61/158.02 (define @t999 () (forall @t315 @t998)) % 157.61/158.02 (define @t1000 () (tptp.s @t3 @t294)) % 157.61/158.02 (define @t1001 () (tptp.c_2Eoption_2ESOME_2E1 @t1000)) % 157.61/158.02 (define @t1002 () (tptp.s @t457 @t1001)) % 157.61/158.02 (define @t1003 () (tptp.c_2Eoption_2ETHE_2E1 @t1002)) % 157.61/158.02 (define @t1004 () (tptp.s @t3 @t1003)) % 157.61/158.02 (define @t1005 () (forall @t300 (= @t1000 @t1004))) % 157.61/158.02 (define @t1006 () (forall @t315 @t1005)) % 157.61/158.02 (define @t1007 () (tptp.s @t3 @t302)) % 157.61/158.02 (define @t1008 () (tptp.s @t3 @t304)) % 157.61/158.02 (define @t1009 () (tptp.c_2Eoption_2ESOME_2E1 @t1007)) % 157.61/158.02 (define @t1010 () (tptp.s @t457 @t1009)) % 157.61/158.02 (define @t1011 () (tptp.c_2Eoption_2ESOME_2E1 @t1008)) % 157.61/158.02 (define @t1012 () (tptp.s @t457 @t1011)) % 157.61/158.02 (define @t1013 () (= @t1012 @t1010)) % 157.61/158.02 (define @t1014 () (forall @t312 (= @t1013 (= @t1008 @t1007)))) % 157.61/158.02 (define @t1015 () (forall @t315 @t1014)) % 157.61/158.02 (define @t1016 () (and @t1015 @t1006 @t999 @t994 @t989 @t981 @t979 @t973 @t967 @t957 @t952 @t947 @t939 @t925 @t914 @t908 @t897 @t885 @t879 @t876)) % 157.61/158.02 (define @t1017 () (= @t135 @t139)) % 157.61/158.02 (define @t1018 () (_ tptp.s @t880)) % 157.61/158.02 (define @t1019 () (= @t183 @t187)) % 157.61/158.02 (define @t1020 () (= @t191 @t195)) % 157.61/158.02 (define @t1021 () (not @t198)) % 157.61/158.02 (define @t1022 () (or @t1021 @t1020)) % 157.61/158.02 (define @t1023 () (not @t215)) % 157.61/158.02 (define @t1024 () (or @t1023 @t212)) % 157.61/158.02 (define @t1025 () (= @t209 @t221)) % 157.61/158.02 (define @t1026 () (not @t224)) % 157.61/158.02 (define @t1027 () (or @t1026 @t1025)) % 157.61/158.02 (define @t1028 () (= @t229 @t231)) % 157.61/158.02 (define @t1029 () (= @t235 @t237)) % 157.61/158.02 (define @t1030 () (= @t241 @t245)) % 157.61/158.02 (define @t1031 () (not @t248)) % 157.61/158.02 (define @t1032 () (or @t1031 @t1030)) % 157.61/158.02 (define @t1033 () (= @t142 @t253)) % 157.61/158.02 (define @t1034 () (= @t257 @t1033)) % 157.61/158.02 (define @t1035 () (= @t142 @t262)) % 157.61/158.02 (define @t1036 () (= @t265 @t1035)) % 157.61/158.02 (define @t1037 () (= tptp.mono_2Ec_2Ebool_2ET @t276)) % 157.61/158.02 (define @t1038 () (= @t142 @t282)) % 157.61/158.02 (define @t1039 () (not @t1038)) % 157.61/158.02 (define @t1040 () (= @t295 @t299)) % 157.61/158.02 (define @t1041 () (= @t1013 (= @t1007 @t1008))) % 157.61/158.02 (define @t1042 () (= @t303 @t305)) % 157.61/158.02 (define @t1043 () (= @t310 @t1042)) % 157.61/158.02 (define @t1044 () (@quantifiers_skolemize @t496 1)) % 157.61/158.02 (define @t1045 () (_ @t367 @t400 @t1044)) % 157.61/158.02 (define @t1046 () (_ @t367 @t397 (_ @t385 @t384 @t1045))) % 157.61/158.02 (define @t1047 () (not (= @t1046 @t398))) % 157.61/158.02 (define @t1048 () (forall @t632 (not (= @t630 @t629)))) % 157.61/158.02 (define @t1049 () (= @t398 @t1046)) % 157.61/158.02 (define @t1050 () (not @t1049)) % 157.61/158.02 (define @t1051 () (@list @t1048)) % 157.61/158.02 (define @t1052 () (_ @t367 @t400 (@quantifiers_skolemize @t496 0))) % 157.61/158.02 (define @t1053 () (or (not (= @t402 (_ @t367 @t397 (_ @t385 @t384 @t1052)))) @t1050 (not (_ @t370 @t369 (_ @t367 @t366 (_ @t385 (_ @t392 @t421 (_ @t367 @t482 (_ @t385 @t481 @t1052))) @t1045)))))) % 157.61/158.02 (define @t1054 () (@list true)) % 157.61/158.02 (define @t1055 () (not @t1053)) % 157.61/158.02 (define @t1056 () (not @t498)) % 157.61/158.02 (define @t1057 () (@list true false)) % 157.61/158.02 (define @t1058 () (not @t409)) % 157.61/158.02 (define @t1059 () (not @t410)) % 157.61/158.02 (define @t1060 () (@list @t409)) % 157.61/158.02 (define @t1061 () (_ @t367 @t427 @t63)) % 157.61/158.02 (define @t1062 () (_ @t370 @t369 (_ @t367 @t366 (_ @t385 @t577 @t1061)))) % 157.61/158.02 (define @t1063 () (_ @t370 @t369 (_ @t367 @t366 (_ @t385 (_ @t392 @t421 (_ @t367 (_ @t365 @t364 (_ @t381 (_ @t388 @t387 @t426) tptp.tyop_2Emin_2Ebool)) tptp.c_2Eoption_2EIS__NONE_2E0)) @t1061)))) % 157.61/158.02 (define @t1064 () (forall @t66 (= @t1062 @t1063))) % 157.61/158.02 (define @t1065 () (tptp.s @t457 @t63)) % 157.61/158.02 (define @t1066 () (tptp.tyop_2Emin_2Efun @t457 tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t1067 () (tptp.s @t1066 tptp.c_2Eoption_2EIS__NONE_2E0)) % 157.61/158.02 (define @t1068 () (tptp.app_2E2 @t1067 @t1065)) % 157.61/158.02 (define @t1069 () (tptp.s tptp.tyop_2Emin_2Ebool @t1068)) % 157.61/158.02 (define @t1070 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t1069)) % 157.61/158.02 (define @t1071 () (tptp.c_2Eoption_2EIS__NONE_2E1 @t1065)) % 157.61/158.02 (define @t1072 () (tptp.s tptp.tyop_2Emin_2Ebool @t1071)) % 157.61/158.02 (define @t1073 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t1072)) % 157.61/158.02 (define @t1074 () (@list @t395 @t401)) % 157.61/158.02 (define @t1075 () (_ @t370 @t369 (_ @t367 @t366 (_ @t385 @t577 @t402)))) % 157.61/158.02 (define @t1076 () (= @t398 @t402)) % 157.61/158.02 (define @t1077 () (forall @t612 (= @t610 @t609))) % 157.61/158.02 (define @t1078 () (= @t1075 @t1076)) % 157.61/158.02 (define @t1079 () (= @t491 @t1075)) % 157.61/158.02 (define @t1080 () (not @t1075)) % 157.61/158.02 (define @t1081 () (_ @t370 @t369 (_ @t367 @t366 (_ @t385 (_ @t392 @t421 (_ @t367 (_ @t365 @t364 (_ @t381 (_ @t388 @t387 @t396) tptp.tyop_2Emin_2Ebool)) tptp.c_2Eoption_2EIS__NONE_2E0)) @t402)))) % 157.61/158.02 (define @t1082 () (= @t1081 @t1075)) % 157.61/158.02 (define @t1083 () (not @t1081)) % 157.61/158.02 (define @t1084 () (@purify @t1081)) % 157.61/158.02 (define @t1085 () (not @t1084)) % 157.61/158.02 (define @t1086 () (@var "BOUND_VARIABLE_10198" tptp.u)) % 157.61/158.02 (define @t1087 () (@var "BOUND_VARIABLE_10196" tptp.d)) % 157.61/158.02 (define @t1088 () (_ @t365 @t364 @t1087)) % 157.61/158.02 (define @t1089 () (_ @t367 @t1088 @t1086)) % 157.61/158.02 (define @t1090 () (_ @t365 @t364 (_ @t381 @t380 @t1087))) % 157.61/158.02 (define @t1091 () (@var "BOUND_VARIABLE_10200" tptp.u)) % 157.61/158.02 (define @t1092 () (_ @t367 @t1088 @t1091)) % 157.61/158.02 (define @t1093 () (@var "BOUND_VARIABLE_10202" tptp.u)) % 157.61/158.02 (define @t1094 () (_ @t388 @t387 @t1087)) % 157.61/158.02 (define @t1095 () (_ @t381 @t1094 tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t1096 () (_ @t367 (_ @t365 @t364 (_ @t381 @t1094 @t1095)) @t1093)) % 157.61/158.02 (define @t1097 () (_ @t370 @t369 (_ @t367 @t366 (_ @t385 (_ @t392 (_ @t391 @t390 @t1096) (_ @t367 @t1090 (_ @t385 @t384 @t1092))) (_ @t367 @t1090 (_ @t385 @t384 @t1089)))))) % 157.61/158.02 (define @t1098 () (_ @t370 @t369 (_ @t367 @t366 (_ @t385 (_ @t392 @t421 (_ @t367 (_ @t365 @t364 @t1095) (_ @t385 (_ @t392 @t421 @t1096) @t1092))) @t1089)))) % 157.61/158.02 (define @t1099 () (@list @t1087 @t1086 @t1091 @t1093)) % 157.61/158.02 (define @t1100 () (forall @t1099 (= @t1098 @t1097))) % 157.61/158.02 (define @t1101 () (@quantifiers_skolemize @t1100 1)) % 157.61/158.02 (define @t1102 () (@quantifiers_skolemize @t1100 0)) % 157.61/158.02 (define @t1103 () (_ @t365 @t364 @t1102)) % 157.61/158.02 (define @t1104 () (_ @t367 @t1103 @t1101)) % 157.61/158.02 (define @t1105 () (@quantifiers_skolemize @t1100 2)) % 157.61/158.02 (define @t1106 () (_ @t367 @t1103 @t1105)) % 157.61/158.02 (define @t1107 () (@quantifiers_skolemize @t1100 3)) % 157.61/158.02 (define @t1108 () (_ @t388 @t387 @t1102)) % 157.61/158.02 (define @t1109 () (_ @t381 @t1108 tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t1110 () (_ @t367 (_ @t365 @t364 (_ @t381 @t1108 @t1109)) @t1107)) % 157.61/158.02 (define @t1111 () (_ @t392 @t421 @t1110)) % 157.61/158.02 (define @t1112 () (_ @t365 @t364 @t1109)) % 157.61/158.02 (define @t1113 () (_ @t385 (_ @t392 @t421 (_ @t367 @t1112 (_ @t385 @t1111 @t1106))) @t1104)) % 157.61/158.02 (define @t1114 () (_ @t367 @t366 @t1113)) % 157.61/158.02 (define @t1115 () (_ @t370 @t369 @t1114)) % 157.61/158.02 (define @t1116 () (@purify @t1115)) % 157.61/158.02 (define @t1117 () (_ @t372 @t371 @t1115)) % 157.61/158.02 (define @t1118 () (_ @t367 @t366 @t1117)) % 157.61/158.02 (define @t1119 () (= @t1114 @t1118)) % 157.61/158.02 (define @t1120 () (_ @t372 @t371 @t1116)) % 157.61/158.02 (define @t1121 () (_ @t367 @t366 @t1120)) % 157.61/158.02 (define @t1122 () (= @t1114 @t1121)) % 157.61/158.02 (define @t1123 () (@list @t1102 @t1105)) % 157.61/158.02 (define @t1124 () (@var "BOUND_VARIABLE_10170" tptp.u)) % 157.61/158.02 (define @t1125 () (@var "BOUND_VARIABLE_10168" tptp.d)) % 157.61/158.02 (define @t1126 () (_ @t365 @t364 (_ @t381 @t380 @t1125))) % 157.61/158.02 (define @t1127 () (@var "BOUND_VARIABLE_10174" tptp.u)) % 157.61/158.02 (define @t1128 () (_ @t388 @t387 @t1125)) % 157.61/158.02 (define @t1129 () (@list @t1125 @t1124 @t1127)) % 157.61/158.02 (define @t1130 () (forall @t1129 (not (_ @t370 @t369 (_ @t367 @t366 (_ @t385 (_ @t392 (_ @t391 @t390 (_ @t367 (_ @t365 @t364 (_ @t381 @t1128 (_ @t381 @t1128 tptp.tyop_2Emin_2Ebool))) @t1127)) (_ @t367 @t1126 tptp.c_2Eoption_2ENONE_2E0)) (_ @t367 @t1126 (_ @t385 @t384 (_ @t367 (_ @t365 @t364 @t1125) @t1124))))))))) % 157.61/158.02 (define @t1131 () (@quantifiers_skolemize @t1130 0)) % 157.61/158.02 (define @t1132 () (_ @t365 @t364 @t1131)) % 157.61/158.02 (define @t1133 () (_ @t367 @t1132 @t317)) % 157.61/158.02 (define @t1134 () (_ @t367 @t1132 @t319)) % 157.61/158.02 (define @t1135 () (@quantifiers_skolemize @t1130 2)) % 157.61/158.02 (define @t1136 () (_ @t388 @t387 @t1131)) % 157.61/158.02 (define @t1137 () (_ @t381 @t1136 tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t1138 () (_ @t367 (_ @t365 @t364 (_ @t381 @t1136 @t1137)) @t1135)) % 157.61/158.02 (define @t1139 () (_ @t392 @t421 @t1138)) % 157.61/158.02 (define @t1140 () (_ @t365 @t364 @t1137)) % 157.61/158.02 (define @t1141 () (not (_ @t370 @t369 (_ @t367 @t366 (_ @t385 (_ @t392 @t421 (_ @t367 @t1140 (_ @t385 @t1139 @t1134))) @t1133))))) % 157.61/158.02 (define @t1142 () (_ @t365 @t364 (_ @t381 @t380 @t1131))) % 157.61/158.02 (define @t1143 () (_ @t367 @t1142 (_ @t385 @t384 @t1133))) % 157.61/158.02 (define @t1144 () (@quantifiers_skolemize @t1130 1)) % 157.61/158.02 (define @t1145 () (_ @t385 @t384 (_ @t367 @t1132 @t1144))) % 157.61/158.02 (define @t1146 () (_ @t367 @t1142 @t1145)) % 157.61/158.02 (define @t1147 () (not (= @t1143 @t1146))) % 157.61/158.02 (define @t1148 () (_ @t367 @t1142 (_ @t385 @t384 @t1134))) % 157.61/158.02 (define @t1149 () (_ @t367 @t1142 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t1150 () (not (= @t1148 @t1149))) % 157.61/158.02 (define @t1151 () (or @t1150 @t1147 @t1141)) % 157.61/158.02 (define @t1152 () (forall @t338 @t1151)) % 157.61/158.02 (define @t1153 () (not @t1152)) % 157.61/158.02 (define @t1154 () (= @t1149 @t1146)) % 157.61/158.02 (define @t1155 () (= @t1146 @t1149)) % 157.61/158.02 (define @t1156 () (and (= @t1149 @t1149) @t1155)) % 157.61/158.02 (define @t1157 () (or @t1156 @t1153)) % 157.61/158.02 (define @t1158 () (_ @t370 @t369 (_ @t367 @t366 (_ @t385 (_ @t392 (_ @t391 @t390 @t1138) @t1149) @t1146)))) % 157.61/158.02 (define @t1159 () (= @t1158 @t1157)) % 157.61/158.02 (define @t1160 () (forall @t338 (or (not (= @t1149 @t1148)) (not (= @t1146 @t1143)) @t1141))) % 157.61/158.02 (define @t1161 () (not @t1160)) % 157.61/158.02 (define @t1162 () (or @t1154 @t1161)) % 157.61/158.02 (define @t1163 () (= @t1158 @t1162)) % 157.61/158.02 (define @t1164 () (@quantifiers_skolemize @t1160 0)) % 157.61/158.02 (define @t1165 () (_ @t367 @t1132 @t1164)) % 157.61/158.02 (define @t1166 () (_ @t367 @t1142 (_ @t385 @t384 @t1165))) % 157.61/158.02 (define @t1167 () (not (= @t1166 @t1149))) % 157.61/158.02 (define @t1168 () (= @t1149 @t1166)) % 157.61/158.02 (define @t1169 () (not @t1168)) % 157.61/158.02 (define @t1170 () (_ @t367 @t1132 (@quantifiers_skolemize @t1160 1))) % 157.61/158.02 (define @t1171 () (or @t1169 (not (= @t1146 (_ @t367 @t1142 (_ @t385 @t384 @t1170)))) (not (_ @t370 @t369 (_ @t367 @t366 (_ @t385 (_ @t392 @t421 (_ @t367 @t1140 (_ @t385 @t1139 @t1165))) @t1170)))))) % 157.61/158.02 (define @t1172 () (not @t1171)) % 157.61/158.02 (define @t1173 () (not @t1155)) % 157.61/158.02 (define @t1174 () (not @t1162)) % 157.61/158.02 (define @t1175 () (not @t1158)) % 157.61/158.02 (define @t1176 () (not @t1130)) % 157.61/158.02 (define @t1177 () (not @t1175)) % 157.61/158.02 (define @t1178 () (not @t394)) % 157.61/158.02 (define @t1179 () (not @t1058)) % 157.61/158.02 (define @t1180 () (@var "BOUND_VARIABLE_10116" tptp.d)) % 157.61/158.02 (define @t1181 () (_ @t367 (_ @t365 @t364 (_ @t381 @t380 @t1180)) tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t1182 () (@var "BOUND_VARIABLE_10122" tptp.u)) % 157.61/158.02 (define @t1183 () (_ @t388 @t387 @t1180)) % 157.61/158.02 (define @t1184 () (@list @t1180 @t1182)) % 157.61/158.02 (define @t1185 () (forall @t1184 (_ @t370 @t369 (_ @t367 @t366 (_ @t385 (_ @t392 (_ @t391 @t390 (_ @t367 (_ @t365 @t364 (_ @t381 @t1183 (_ @t381 @t1183 tptp.tyop_2Emin_2Ebool))) @t1182)) @t1181) @t1181))))) % 157.61/158.02 (define @t1186 () (@quantifiers_skolemize @t1185 0)) % 157.61/158.02 (define @t1187 () (_ @t365 @t364 (_ @t381 @t380 @t1186))) % 157.61/158.02 (define @t1188 () (_ @t367 @t1187 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t1189 () (@quantifiers_skolemize @t1185 1)) % 157.61/158.02 (define @t1190 () (_ @t388 @t387 @t1186)) % 157.61/158.02 (define @t1191 () (_ @t381 @t1190 tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t1192 () (_ @t367 (_ @t365 @t364 (_ @t381 @t1190 @t1191)) @t1189)) % 157.61/158.02 (define @t1193 () (_ @t370 @t369 (_ @t367 @t366 (_ @t385 (_ @t392 (_ @t391 @t390 @t1192) @t1188) @t1188)))) % 157.61/158.02 (define @t1194 () (_ @t365 @t364 @t1186)) % 157.61/158.02 (define @t1195 () (_ @t367 @t1194 @t317)) % 157.61/158.02 (define @t1196 () (_ @t367 @t1194 @t319)) % 157.61/158.02 (define @t1197 () (not (_ @t370 @t369 (_ @t367 @t366 (_ @t385 (_ @t392 @t421 (_ @t367 (_ @t365 @t364 @t1191) (_ @t385 (_ @t392 @t421 @t1192) @t1196))) @t1195))))) % 157.61/158.02 (define @t1198 () (_ @t367 @t1187 (_ @t385 @t384 @t1195))) % 157.61/158.02 (define @t1199 () (_ @t367 @t1187 (_ @t385 @t384 @t1196))) % 157.61/158.02 (define @t1200 () (not (= @t1198 @t1188))) % 157.61/158.02 (define @t1201 () (not (= @t1199 @t1188))) % 157.61/158.02 (define @t1202 () (or @t1201 @t1200 @t1197)) % 157.61/158.02 (define @t1203 () (forall @t338 @t1202)) % 157.61/158.02 (define @t1204 () (not @t1203)) % 157.61/158.02 (define @t1205 () (= @t1188 @t1188)) % 157.61/158.02 (define @t1206 () (and @t1205 @t1205)) % 157.61/158.02 (define @t1207 () (or @t1206 @t1204)) % 157.61/158.02 (define @t1208 () (= @t1193 @t1207)) % 157.61/158.02 (define @t1209 () (not @t1193)) % 157.61/158.02 (define @t1210 () (not @t1185)) % 157.61/158.02 (define @t1211 () (forall @t1099 (= @t1097 @t1098))) % 157.61/158.02 (define @t1212 () (and @t1185 @t394 @t1130 @t1211)) % 157.61/158.02 (define @t1213 () (not @t1212)) % 157.61/158.02 (define @t1214 () (tptp.s @t1087 @t1086)) % 157.61/158.02 (define @t1215 () (tptp.s @t1087 @t1091)) % 157.61/158.02 (define @t1216 () (tptp.tyop_2Emin_2Efun @t1087 tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t1217 () (tptp.tyop_2Emin_2Efun @t1087 @t1216)) % 157.61/158.02 (define @t1218 () (tptp.s @t1217 @t1093)) % 157.61/158.02 (define @t1219 () (tptp.app_2E2 @t1218 @t1215)) % 157.61/158.02 (define @t1220 () (tptp.s @t1216 @t1219)) % 157.61/158.02 (define @t1221 () (tptp.app_2E2 @t1220 @t1214)) % 157.61/158.02 (define @t1222 () (tptp.s tptp.tyop_2Emin_2Ebool @t1221)) % 157.61/158.02 (define @t1223 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t1222)) % 157.61/158.02 (define @t1224 () (tptp.c_2Eoption_2ESOME_2E1 @t1214)) % 157.61/158.02 (define @t1225 () (tptp.tyop_2Eoption_2Eoption @t1087)) % 157.61/158.02 (define @t1226 () (tptp.s @t1225 @t1224)) % 157.61/158.02 (define @t1227 () (tptp.c_2Eoption_2ESOME_2E1 @t1215)) % 157.61/158.02 (define @t1228 () (tptp.s @t1225 @t1227)) % 157.61/158.02 (define @t1229 () (tptp.c_2Eoption_2EOPTREL_2E3 @t1218 @t1228 @t1226)) % 157.61/158.02 (define @t1230 () (tptp.s tptp.tyop_2Emin_2Ebool @t1229)) % 157.61/158.02 (define @t1231 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t1230)) % 157.61/158.02 (define @t1232 () (forall @t1099 (= @t1231 @t1223))) % 157.61/158.02 (define @t1233 () (tptp.s @t1125 @t1124)) % 157.61/158.02 (define @t1234 () (tptp.c_2Eoption_2ESOME_2E1 @t1233)) % 157.61/158.02 (define @t1235 () (tptp.tyop_2Eoption_2Eoption @t1125)) % 157.61/158.02 (define @t1236 () (tptp.s @t1235 @t1234)) % 157.61/158.02 (define @t1237 () (tptp.s @t1235 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t1238 () (tptp.tyop_2Emin_2Efun @t1125 tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t1239 () (tptp.tyop_2Emin_2Efun @t1125 @t1238)) % 157.61/158.02 (define @t1240 () (tptp.s @t1239 @t1127)) % 157.61/158.02 (define @t1241 () (tptp.c_2Eoption_2EOPTREL_2E3 @t1240 @t1237 @t1236)) % 157.61/158.02 (define @t1242 () (tptp.s tptp.tyop_2Emin_2Ebool @t1241)) % 157.61/158.02 (define @t1243 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t1242)) % 157.61/158.02 (define @t1244 () (tptp.tyop_2Eoption_2Eoption @t379)) % 157.61/158.02 (define @t1245 () (tptp.s @t1244 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t1246 () (tptp.s @t379 @t383)) % 157.61/158.02 (define @t1247 () (tptp.c_2Eoption_2ESOME_2E1 @t1246)) % 157.61/158.02 (define @t1248 () (tptp.s @t1244 @t1247)) % 157.61/158.02 (define @t1249 () (tptp.tyop_2Emin_2Efun @t379 tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t1250 () (tptp.tyop_2Emin_2Efun @t379 @t1249)) % 157.61/158.02 (define @t1251 () (tptp.s @t1250 @t386)) % 157.61/158.02 (define @t1252 () (tptp.c_2Eoption_2EOPTREL_2E3 @t1251 @t1248 @t1245)) % 157.61/158.02 (define @t1253 () (tptp.s tptp.tyop_2Emin_2Ebool @t1252)) % 157.61/158.02 (define @t1254 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t1253)) % 157.61/158.02 (define @t1255 () (tptp.tyop_2Eoption_2Eoption @t1180)) % 157.61/158.02 (define @t1256 () (tptp.s @t1255 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t1257 () (tptp.tyop_2Emin_2Efun @t1180 tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t1258 () (tptp.tyop_2Emin_2Efun @t1180 @t1257)) % 157.61/158.02 (define @t1259 () (tptp.s @t1258 @t1182)) % 157.61/158.02 (define @t1260 () (tptp.c_2Eoption_2EOPTREL_2E3 @t1259 @t1256 @t1256)) % 157.61/158.02 (define @t1261 () (tptp.s tptp.tyop_2Emin_2Ebool @t1260)) % 157.61/158.02 (define @t1262 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t1261)) % 157.61/158.02 (define @t1263 () (forall @t1129 (= false @t1243))) % 157.61/158.02 (define @t1264 () (forall @t393 (= false @t1254))) % 157.61/158.02 (define @t1265 () (forall @t1184 (= true @t1262))) % 157.61/158.02 (define @t1266 () (and @t1265 @t1264 @t1263 @t1232)) % 157.61/158.02 (define @t1267 () (= tptp.mono_2Ec_2Ebool_2EF @t1243)) % 157.61/158.02 (define @t1268 () (forall @t1129 @t1267)) % 157.61/158.02 (define @t1269 () (= tptp.mono_2Ec_2Ebool_2EF @t1254)) % 157.61/158.02 (define @t1270 () (forall @t393 @t1269)) % 157.61/158.02 (define @t1271 () (= tptp.mono_2Ec_2Ebool_2ET @t1262)) % 157.61/158.02 (define @t1272 () (forall @t1184 @t1271)) % 157.61/158.02 (define @t1273 () (and @t1272 @t1270 @t1268 @t1232)) % 157.61/158.02 (define @t1274 () (_ tptp.s @t1087)) % 157.61/158.02 (define @t1275 () (_ @t1274 @t1086)) % 157.61/158.02 (define @t1276 () (_ @t1274 @t1091)) % 157.61/158.02 (define @t1277 () (_ tptp.tyop_2Emin_2Efun @t1087)) % 157.61/158.02 (define @t1278 () (_ @t1277 tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t1279 () (_ @t1277 @t1278)) % 157.61/158.02 (define @t1280 () (_ (_ tptp.s @t1279) @t1093)) % 157.61/158.02 (define @t1281 () (_ (_ tptp.app_2E2 @t1280) @t1276)) % 157.61/158.02 (define @t1282 () (_ (_ tptp.s @t1278) @t1281)) % 157.61/158.02 (define @t1283 () (_ (_ tptp.app_2E2 @t1282) @t1275)) % 157.61/158.02 (define @t1284 () (_ @t38 @t1283)) % 157.61/158.02 (define @t1285 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t1284)) % 157.61/158.02 (define @t1286 () (_ tptp.c_2Eoption_2ESOME_2E1 @t1275)) % 157.61/158.02 (define @t1287 () (_ tptp.tyop_2Eoption_2Eoption @t1087)) % 157.61/158.02 (define @t1288 () (_ tptp.s @t1287)) % 157.61/158.02 (define @t1289 () (_ @t1288 @t1286)) % 157.61/158.02 (define @t1290 () (_ tptp.c_2Eoption_2ESOME_2E1 @t1276)) % 157.61/158.02 (define @t1291 () (_ @t1288 @t1290)) % 157.61/158.02 (define @t1292 () (_ (_ (_ tptp.c_2Eoption_2EOPTREL_2E3 @t1280) @t1291) @t1289)) % 157.61/158.02 (define @t1293 () (_ @t38 @t1292)) % 157.61/158.02 (define @t1294 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t1293)) % 157.61/158.02 (define @t1295 () (_ tptp.s @t1225)) % 157.61/158.02 (define @t1296 () (= @t1294 @t1285)) % 157.61/158.02 (define @t1297 () (forall @t1099 @t1296)) % 157.61/158.02 (define @t1298 () (_ (_ tptp.s @t1125) @t1124)) % 157.61/158.02 (define @t1299 () (_ tptp.c_2Eoption_2ESOME_2E1 @t1298)) % 157.61/158.02 (define @t1300 () (_ tptp.tyop_2Eoption_2Eoption @t1125)) % 157.61/158.02 (define @t1301 () (_ tptp.s @t1300)) % 157.61/158.02 (define @t1302 () (_ @t1301 @t1299)) % 157.61/158.02 (define @t1303 () (_ @t1301 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t1304 () (_ tptp.tyop_2Emin_2Efun @t1125)) % 157.61/158.02 (define @t1305 () (_ @t1304 tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t1306 () (_ @t1304 @t1305)) % 157.61/158.02 (define @t1307 () (_ (_ tptp.s @t1306) @t1127)) % 157.61/158.02 (define @t1308 () (_ (_ (_ tptp.c_2Eoption_2EOPTREL_2E3 @t1307) @t1303) @t1302)) % 157.61/158.02 (define @t1309 () (_ @t38 @t1308)) % 157.61/158.02 (define @t1310 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t1309)) % 157.61/158.02 (define @t1311 () (_ tptp.s @t1235)) % 157.61/158.02 (define @t1312 () (= tptp.mono_2Ec_2Ebool_2EF @t1310)) % 157.61/158.02 (define @t1313 () (forall @t1129 @t1312)) % 157.61/158.02 (define @t1314 () (@var "BOUND_VARIABLE_10172" tptp.u)) % 157.61/158.02 (define @t1315 () (forall (@list @t1125 @t1124 @t1314 @t1127) @t1312)) % 157.61/158.02 (define @t1316 () (_ tptp.tyop_2Eoption_2Eoption @t379)) % 157.61/158.02 (define @t1317 () (_ tptp.s @t1316)) % 157.61/158.02 (define @t1318 () (_ @t1317 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t1319 () (_ (_ tptp.s @t379) @t383)) % 157.61/158.02 (define @t1320 () (_ tptp.c_2Eoption_2ESOME_2E1 @t1319)) % 157.61/158.02 (define @t1321 () (_ @t1317 @t1320)) % 157.61/158.02 (define @t1322 () (_ tptp.tyop_2Emin_2Efun @t379)) % 157.61/158.02 (define @t1323 () (_ @t1322 tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t1324 () (_ @t1322 @t1323)) % 157.61/158.02 (define @t1325 () (_ (_ tptp.s @t1324) @t386)) % 157.61/158.02 (define @t1326 () (_ (_ (_ tptp.c_2Eoption_2EOPTREL_2E3 @t1325) @t1321) @t1318)) % 157.61/158.02 (define @t1327 () (_ @t38 @t1326)) % 157.61/158.02 (define @t1328 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t1327)) % 157.61/158.02 (define @t1329 () (_ tptp.s @t1244)) % 157.61/158.02 (define @t1330 () (= tptp.mono_2Ec_2Ebool_2EF @t1328)) % 157.61/158.02 (define @t1331 () (forall @t393 @t1330)) % 157.61/158.02 (define @t1332 () (@var "BOUND_VARIABLE_10142" tptp.u)) % 157.61/158.02 (define @t1333 () (forall (@list @t379 @t1332 @t383 @t386) @t1330)) % 157.61/158.02 (define @t1334 () (_ tptp.tyop_2Eoption_2Eoption @t1180)) % 157.61/158.02 (define @t1335 () (_ (_ tptp.s @t1334) tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t1336 () (_ tptp.tyop_2Emin_2Efun @t1180)) % 157.61/158.02 (define @t1337 () (_ @t1336 tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (define @t1338 () (_ @t1336 @t1337)) % 157.61/158.02 (define @t1339 () (_ (_ tptp.s @t1338) @t1182)) % 157.61/158.02 (define @t1340 () (_ (_ (_ tptp.c_2Eoption_2EOPTREL_2E3 @t1339) @t1335) @t1335)) % 157.61/158.02 (define @t1341 () (_ @t38 @t1340)) % 157.61/158.02 (define @t1342 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t1341)) % 157.61/158.02 (define @t1343 () (= tptp.mono_2Ec_2Ebool_2ET @t1342)) % 157.61/158.02 (define @t1344 () (forall @t1184 @t1343)) % 157.61/158.02 (define @t1345 () (@var "BOUND_VARIABLE_10120" tptp.u)) % 157.61/158.02 (define @t1346 () (@var "BOUND_VARIABLE_10118" tptp.u)) % 157.61/158.02 (define @t1347 () (forall (@list @t1180 @t1346 @t1345 @t1182) @t1343)) % 157.61/158.02 (define @t1348 () (forall @t361 @t355)) % 157.61/158.02 (define @t1349 () (@list @t3 @t348 @t39 @t350)) % 157.61/158.02 (define @t1350 () (= tptp.mono_2Ec_2Ebool_2EF @t357)) % 157.61/158.02 (define @t1351 () (forall @t361 @t1350)) % 157.61/158.02 (define @t1352 () (= tptp.mono_2Ec_2Ebool_2EF @t358)) % 157.61/158.02 (define @t1353 () (forall @t361 @t1352)) % 157.61/158.02 (define @t1354 () (= tptp.mono_2Ec_2Ebool_2ET @t359)) % 157.61/158.02 (define @t1355 () (forall @t361 @t1354)) % 157.61/158.02 (define @t1356 () (and @t1355 @t1353 @t1351 @t1348)) % 157.61/158.02 (define @t1357 () (not @t1100)) % 157.61/158.02 (define @t1358 () (_ @t385 @t384 @t1104)) % 157.61/158.02 (define @t1359 () (_ @t365 @t364 (_ @t381 @t380 @t1102))) % 157.61/158.02 (define @t1360 () (_ @t367 @t1359 @t1358)) % 157.61/158.02 (define @t1361 () (_ @t385 @t384 @t1106)) % 157.61/158.02 (define @t1362 () (_ @t367 @t1359 @t1361)) % 157.61/158.02 (define @t1363 () (_ @t370 @t369 (_ @t367 @t366 (_ @t385 (_ @t392 (_ @t391 @t390 @t1110) @t1362) @t1360)))) % 157.61/158.02 (define @t1364 () (= @t1115 @t1363)) % 157.61/158.02 (define @t1365 () (not @t1364)) % 157.61/158.02 (define @t1366 () (_ @t367 @t1103 @t317)) % 157.61/158.02 (define @t1367 () (_ @t367 @t1103 @t319)) % 157.61/158.02 (define @t1368 () (not (_ @t370 @t369 (_ @t367 @t366 (_ @t385 (_ @t392 @t421 (_ @t367 @t1112 (_ @t385 @t1111 @t1367))) @t1366))))) % 157.61/158.02 (define @t1369 () (_ @t367 @t1359 (_ @t385 @t384 @t1366))) % 157.61/158.02 (define @t1370 () (not (= @t1369 @t1360))) % 157.61/158.02 (define @t1371 () (_ @t367 @t1359 (_ @t385 @t384 @t1367))) % 157.61/158.02 (define @t1372 () (not (= @t1371 @t1362))) % 157.61/158.02 (define @t1373 () (or @t1372 @t1370 @t1368)) % 157.61/158.02 (define @t1374 () (forall @t338 @t1373)) % 157.61/158.02 (define @t1375 () (not @t1374)) % 157.61/158.02 (define @t1376 () (_ @t367 @t1359 tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (define @t1377 () (= @t1362 @t1376)) % 157.61/158.02 (define @t1378 () (and @t1377 (= @t1360 @t1376))) % 157.61/158.02 (define @t1379 () (or @t1378 @t1375)) % 157.61/158.02 (define @t1380 () (= @t1363 @t1379)) % 157.61/158.02 (define @t1381 () (forall @t338 (or (not (= @t1362 @t1371)) (not (= @t1360 @t1369)) @t1368))) % 157.61/158.02 (define @t1382 () (not @t1381)) % 157.61/158.02 (define @t1383 () (or @t1378 @t1382)) % 157.61/158.02 (define @t1384 () (= @t1363 @t1383)) % 157.61/158.02 (define @t1385 () (not @t1384)) % 157.61/158.02 (define @t1386 () (not @t1383)) % 157.61/158.02 (define @t1387 () (not @t1382)) % 157.61/158.02 (define @t1388 () (not @t1115)) % 157.61/158.02 (define @t1389 () (not (= @t1360 @t1360))) % 157.61/158.02 (define @t1390 () (not (= @t1362 @t1362))) % 157.61/158.02 (define @t1391 () (or @t1390 @t1389 @t1388)) % 157.61/158.02 (define @t1392 () (not @t1116)) % 157.61/158.02 (define @t1393 () (not @t1378)) % 157.61/158.02 (define @t1394 () (@quantifiers_skolemize @t1381 1)) % 157.61/158.02 (define @t1395 () (_ @t367 @t1103 @t1394)) % 157.61/158.02 (define @t1396 () (@quantifiers_skolemize @t1381 0)) % 157.61/158.02 (define @t1397 () (_ @t367 @t1103 @t1396)) % 157.61/158.02 (define @t1398 () (_ @t385 @t1111 @t1397)) % 157.61/158.02 (define @t1399 () (_ @t367 @t1112 @t1398)) % 157.61/158.02 (define @t1400 () (_ @t392 @t421 @t1399)) % 157.61/158.02 (define @t1401 () (_ @t385 @t1400 @t1395)) % 157.61/158.02 (define @t1402 () (_ @t367 @t366 @t1401)) % 157.61/158.02 (define @t1403 () (_ @t370 @t369 @t1402)) % 157.61/158.02 (define @t1404 () (not @t1403)) % 157.61/158.02 (define @t1405 () (_ @t367 @t1359 (_ @t385 @t384 @t1395))) % 157.61/158.02 (define @t1406 () (= @t1360 @t1405)) % 157.61/158.02 (define @t1407 () (not @t1406)) % 157.61/158.02 (define @t1408 () (_ @t367 @t1359 (_ @t385 @t384 @t1397))) % 157.61/158.02 (define @t1409 () (= @t1362 @t1408)) % 157.61/158.02 (define @t1410 () (not @t1409)) % 157.61/158.02 (define @t1411 () (or @t1410 @t1407 @t1404)) % 157.61/158.02 (define @t1412 () (not @t1411)) % 157.61/158.02 (define @t1413 () (@list @t1411)) % 157.61/158.02 (define @t1414 () (_ @t385 @t564 @t1405)) % 157.61/158.02 (define @t1415 () (_ @t367 @t1103 @t1414)) % 157.61/158.02 (define @t1416 () (= @t1395 @t1415)) % 157.61/158.02 (define @t1417 () (not @t1416)) % 157.61/158.02 (define @t1418 () (_ @t385 @t564 @t1408)) % 157.61/158.02 (define @t1419 () (_ @t367 @t1103 @t1418)) % 157.61/158.02 (define @t1420 () (= @t1397 @t1419)) % 157.61/158.02 (define @t1421 () (not @t1420)) % 157.61/158.02 (define @t1422 () (= @t1104 (_ @t367 @t1103 (_ @t385 @t564 @t1360)))) % 157.61/158.02 (define @t1423 () (not @t1422)) % 157.61/158.02 (define @t1424 () (= @t1106 (_ @t367 @t1103 (_ @t385 @t564 @t1362)))) % 157.61/158.02 (define @t1425 () (not @t1424)) % 157.61/158.02 (define @t1426 () (not @t1122)) % 157.61/158.02 (define @t1427 () (not @t414)) % 157.61/158.02 (define @t1428 () (_ @t372 @t371 @t1084)) % 157.61/158.02 (define @t1429 () (and @t1058 @t414 @t1059 @t1085 @t1392 @t1122 @t1424 @t1409 @t1420 @t1422 @t1406 @t1416 @t1403)) % 157.61/158.02 (assume @p1 (forall (@list @t3 @t2 @t8 @t1) (=> (forall (@list @t10) (= (_ @t13 (_ @t15 @t12)) @t14)) (= @t9 @t7)))) % 157.61/158.02 (assume @p2 (forall @t18 (= (_ @t11 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t3)) tptp.combin_i_2E0)) @t17)) @t17))) % 157.61/158.02 (assume @p3 (forall (@list @t3 @t2 @t16 @t19) (= (_ @t11 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t21) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t21)) tptp.combin_k_2E0)) @t17))) (_ @t13 @t19))) @t17))) % 157.61/158.02 (assume @p4 (forall (@list @t3 @t2 @t22 @t8 @t1 @t10) (= (_ @t26 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t27) (_ (_ tptp.app_2E2 (_ (_ tptp.s @t29) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t24) @t29)) tptp.combin_s_2E0)) @t25))) @t7))) @t12)) (_ @t26 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t23) (_ (_ tptp.app_2E2 @t25) @t12))) @t14))))) % 157.61/158.02 (assume @p5 (forall @t32 (= (_ (_ tptp.mono_2Ec_2Ebool_2E_2F_5C @t31) @t30) (and @t31 @t30)))) % 157.61/158.02 (assume @p6 (forall @t32 (= (_ (_ tptp.mono_2Ec_2Ebool_2E_5C_2F @t31) @t30) (or @t31 @t30)))) % 157.61/158.02 (assume @p7 (forall @t33 (= (_ tptp.mono_2Ec_2Ebool_2E_7E @t31) (not @t31)))) % 157.61/158.02 (assume @p8 (forall @t32 (= (_ (_ tptp.mono_2Ec_2Emin_2E_3D_3D_3E @t31) @t30) (=> @t31 @t30)))) % 157.61/158.02 (assume @p9 (forall (@list @t3 @t36 @t34) (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ (_ tptp.c_2Emin_2E_3D_2E2 @t37) @t35))) (= @t37 @t35)))) % 157.61/158.02 (assume @p10 (forall @t46 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ tptp.c_2Ebool_2E_21_2E1 @t43))) (forall @t45 @t44)))) % 157.61/158.02 (assume @p11 (forall @t46 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ tptp.c_2Ebool_2E_3F_2E1 @t43))) (exists @t45 @t44)))) % 157.61/158.02 (assume @p12 @t52) % 157.61/158.02 (assume @p13 (forall @t51 (= (_ @t55 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t56))) @t56))) % 157.61/158.02 (assume @p14 (forall @t51 (= (_ @t57 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t58))) @t58))) % 157.61/158.02 (assume @p15 (forall @t33 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t31))) @t31))) % 157.61/158.02 (assume @p16 (forall (@list @t59) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t60) @t59))) % 157.61/158.02 (assume @p17 (forall (@list @t61) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t62) @t61))) % 157.61/158.02 (assume @p18 (forall @t66 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ tptp.c_2Ebool_2E_21_2E1 @t64))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ (_ tptp.app_2E2 (_ @t65 tptp.c_2Ebool_2E_21_2E0)) @t64)))))) % 157.61/158.02 (assume @p19 (forall (@list @t3 @t63 @t67) (= (= @t69 @t68) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ (_ tptp.app_2E2 (_ @t42 (_ (_ tptp.app_2E2 (_ @t71 tptp.c_2Emin_2E_3D_2E0)) @t69))) @t68)))))) % 157.61/158.02 (assume @p20 (forall @t66 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ tptp.c_2Ebool_2E_3F_2E1 @t64))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ (_ tptp.app_2E2 (_ @t65 tptp.c_2Ebool_2E_3F_2E0)) @t64)))))) % 157.61/158.02 (assume @p21 @t86) % 157.61/158.02 (assume @p22 (forall @t66 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ tptp.c_2Eoption_2EIS__SOME_2E1 @t74))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ (_ tptp.app_2E2 (_ @t77 tptp.c_2Eoption_2EIS__SOME_2E0)) @t74)))))) % 157.61/158.02 (assume @p23 (forall @t66 (= (_ @t73 (_ tptp.c_2Eoption_2EOPTION__JOIN_2E1 @t89)) (_ @t73 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t87) @t72)) tptp.c_2Eoption_2EOPTION__JOIN_2E0)) @t89))))) % 157.61/158.02 (assume @p24 (forall (@list @t3 @t2 @t63 @t67) (= (_ @t94 (_ (_ tptp.c_2Eoption_2EOPTION__MAP_2E2 @t91) @t90)) (_ @t94 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t93) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t28 @t93)) tptp.c_2Eoption_2EOPTION__MAP_2E0)) @t91))) @t90))))) % 157.61/158.02 (assume @p25 (forall @t99 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ (_ (_ tptp.c_2Eoption_2EOPTREL_2E3 @t97) @t90) @t96))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ (_ tptp.app_2E2 (_ @t77 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t98) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t70) @t98)) tptp.c_2Eoption_2EOPTREL_2E0)) @t97))) @t90))) @t96)))))) % 157.61/158.02 (assume @p26 (forall @t107 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ (_ (_ tptp.c_2Eoption_2EOPTREL_2E3 @t104) @t90) @t100))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t105) (_ (_ tptp.app_2E2 (_ (_ tptp.s @t106) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t102) @t106)) tptp.c_2Eoption_2EOPTREL_2E0)) @t104))) @t90))) @t100)))))) % 157.61/158.02 (assume @p27 (forall @t66 (= (_ @t73 (_ tptp.c_2Eoption_2ESOME_2E1 @t69)) (_ @t73 (_ (_ tptp.app_2E2 @t110) @t69))))) % 157.61/158.02 (assume @p28 (forall (@list @t2 @t63) (= (_ @t94 (_ tptp.c_2Eoption_2ESOME_2E1 @t111)) (_ @t94 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t20 @t92)) tptp.c_2Eoption_2ESOME_2E0)) @t111))))) % 157.61/158.02 (assume @p29 (forall @t66 (= (_ @t88 (_ tptp.c_2Eoption_2ESOME_2E1 @t74)) (_ @t88 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t75 @t87)) tptp.c_2Eoption_2ESOME_2E0)) @t74))))) % 157.61/158.02 (assume @p30 (forall @t66 (= (_ @t11 (_ tptp.c_2Eoption_2ETHE_2E1 @t74)) (_ @t11 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t75 @t3)) tptp.c_2Eoption_2ETHE_2E0)) @t74))))) % 157.61/158.02 (assume @p31 (forall @t107 (= (_ @t13 (_ (_ @t116 @t113) @t112)) (_ @t13 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t114) (_ (_ tptp.app_2E2 (_ (_ tptp.s @t115) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t75 @t115)) tptp.c_2Eoption_2Eoption__CASE_2E0)) @t74))) @t113))) @t112))))) % 157.61/158.02 (assume @p32 (forall @t99 (= (_ @t73 (_ (_ @t116 @t90) @t117)) (_ @t73 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t118) (_ (_ tptp.app_2E2 (_ (_ tptp.s @t119) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t75 @t119)) tptp.c_2Eoption_2Eoption__CASE_2E0)) @t74))) @t90))) @t117))))) % 157.61/158.02 (assume @p33 (forall @t122 (= (_ @t38 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t121)) (_ @t38 (_ (_ tptp.app_2E2 @t60) @t120))))) % 157.61/158.02 (assume @p34 (forall @t124 (= (_ @t55 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t123)) (_ @t55 (_ (_ tptp.app_2E2 @t62) @t120))))) % 157.61/158.02 (assume @p35 (forall @t122 (= @t121 @t121))) % 157.61/158.02 (assume @p36 (forall @t124 (= @t123 @t123))) % 157.61/158.02 (assume @p37 tptp.mono_2Ec_2Ebool_2ET) % 157.61/158.02 (assume @p38 (forall (@list @t126 @t125) (=> (=> @t126 @t125) (=> (=> @t125 @t126) (= @t126 @t125))))) % 157.61/158.02 (assume @p39 @t129) % 157.61/158.02 (assume @p40 (forall (@list @t3 @t127) (= (exists @t45 @t127) @t127))) % 157.61/158.02 (assume @p41 (forall @t128 (and (= (and tptp.mono_2Ec_2Ebool_2ET @t127) @t127) (= (and @t127 tptp.mono_2Ec_2Ebool_2ET) @t127) (= (and tptp.mono_2Ec_2Ebool_2EF @t127) tptp.mono_2Ec_2Ebool_2EF) (= (and @t127 tptp.mono_2Ec_2Ebool_2EF) tptp.mono_2Ec_2Ebool_2EF) (= (and @t127 @t127) @t127)))) % 157.61/158.02 (assume @p42 (forall @t128 (and (= (or tptp.mono_2Ec_2Ebool_2ET @t127) tptp.mono_2Ec_2Ebool_2ET) (= (or @t127 tptp.mono_2Ec_2Ebool_2ET) tptp.mono_2Ec_2Ebool_2ET) (= (or tptp.mono_2Ec_2Ebool_2EF @t127) @t127) (= (or @t127 tptp.mono_2Ec_2Ebool_2EF) @t127) (= @t130 @t127)))) % 157.61/158.02 (assume @p43 (and (forall @t128 (= @t133 @t127)) (= (not tptp.mono_2Ec_2Ebool_2ET) tptp.mono_2Ec_2Ebool_2EF) (= @t131 tptp.mono_2Ec_2Ebool_2ET))) % 157.61/158.02 (assume @p44 (forall @t18 (= (= @t17 @t17) tptp.mono_2Ec_2Ebool_2ET))) % 157.61/158.02 (assume @p45 (forall @t128 (and (= (= tptp.mono_2Ec_2Ebool_2ET @t127) @t127) (= (= @t127 tptp.mono_2Ec_2Ebool_2ET) @t127) (= (= tptp.mono_2Ec_2Ebool_2EF @t127) @t132) (= (= @t127 tptp.mono_2Ec_2Ebool_2EF) @t132)))) % 157.61/158.02 (assume @p46 @t316) % 157.61/158.02 (assume @p47 @t347) % 157.61/158.02 (assume @p48 @t363) % 157.61/158.02 (assume @p49 true) % 157.61/158.02 ; WARNING: add trust step for TRUST % 157.61/158.02 ; trust TRUST PREPROCESS_HO_ELIM % 157.61/158.02 (step @p50 :rule trust :premises () :args ((= (forall @t51 (= @t374 @t377)) @t373))) % 157.61/158.02 (step @p51 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t49))) % 157.61/158.02 (step @p52 :rule refl :args ((tptp.i_mono_2Etyop_2Emin_2Ebool @t48))) % 157.61/158.02 (step @p53 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t47))) % 157.61/158.02 (step @p54 :rule refl :args (@t374)) % 157.61/158.02 (step @p55 :rule cong :premises (@p54) :args (@t375)) % 157.61/158.02 (step @p56 :rule trans :premises (@p55 @p53)) % 157.61/158.02 (step @p57 :rule cong :premises (@p56) :args (@t376)) % 157.61/158.02 (step @p58 :rule trans :premises (@p57 @p52)) % 157.61/158.02 (step @p59 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 157.61/158.02 (step @p60 :rule cong :premises (@p59 @p58) :args (@t377)) % 157.61/158.02 (step @p61 :rule trans :premises (@p60 @p51)) % 157.61/158.02 (step @p62 :rule refl :args (@t38)) % 157.61/158.02 (step @p63 :rule ho_cong :premises (@p62 @p58)) % 157.61/158.02 (step @p64 :rule cong :premises (@p63 @p61) :args ((= (_ @t38 @t376) @t377))) % 157.61/158.02 (step @p65 :rule symm :premises (@p64)) % 157.61/158.02 (step @p66 :rule refl :args (@t50)) % 157.61/158.02 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 157.61/158.02 (step @p68 :rule refl :args (tptp.i_mono_2Etyop_2Emin_2Ebool)) % 157.61/158.02 (step @p69 :rule ho_cong :premises (@p68 @p56)) % 157.61/158.02 (step @p70 :rule cong :premises (@p69 @p58) :args ((= (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t375) @t376))) % 157.61/158.02 (step @p71 :rule symm :premises (@p70)) % 157.61/158.02 (step @p72 :rule refl :args (@t49)) % 157.61/158.02 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 157.61/158.02 (step @p74 :rule refl :args (tptp.j_mono_2Etyop_2Emin_2Ebool)) % 157.61/158.02 (step @p75 :rule ho_cong :premises (@p74 @p54)) % 157.61/158.02 (step @p76 :rule cong :premises (@p75 @p56) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t374) @t375))) % 157.61/158.02 (step @p77 :rule symm :premises (@p76)) % 157.61/158.02 (step @p78 :rule refl :args (@t48)) % 157.61/158.02 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 157.61/158.02 (step @p80 :rule refl :args (@t47)) % 157.61/158.02 (step @p81 :rule cong :premises (@p80 @p54) :args ((= @t47 @t374))) % 157.61/158.02 (step @p82 :rule symm :premises (@p81)) % 157.61/158.02 (step @p83 :rule eq_resolve :premises (@p80 @p82)) % 157.61/158.02 (step @p84 :rule ho_cong :premises (@p74 @p83)) % 157.61/158.02 (step @p85 :rule trans :premises (@p84 @p79)) % 157.61/158.02 (step @p86 :rule ho_cong :premises (@p68 @p85)) % 157.61/158.02 (step @p87 :rule trans :premises (@p86 @p73)) % 157.61/158.02 (step @p88 :rule ho_cong :premises (@p62 @p87)) % 157.61/158.02 (step @p89 :rule trans :premises (@p88 @p67)) % 157.61/158.02 (step @p90 :rule cong :premises (@p83 @p89) :args (@t378)) % 157.61/158.02 (step @p91 :rule cong :premises (@p90) :args ((forall @t51 @t378))) % 157.61/158.02 (step @p92 :rule eq-symm :args (@t50 @t47)) % 157.61/158.02 (step @p93 :rule cong :premises (@p92) :args (@t52)) % 157.61/158.02 (step @p94 :rule trans :premises (@p93 @p91)) % 157.61/158.02 (step @p95 :rule trans :premises (@p94 @p50)) % 157.61/158.02 (step @p96 :rule eq_resolve :premises (@p12 @p95)) % 157.61/158.02 (step @p97 :rule eq-refl :args (@t409)) % 157.61/158.02 (step @p98 :rule skolem_intro :args (@t410)) % 157.61/158.02 (step @p99 :rule refl :args (@t409)) % 157.61/158.02 (step @p100 :rule cong :premises (@p99 @p98) :args ((= @t409 @t410))) % 157.61/158.02 (step @p101 :rule trans :premises (@p100 @p97)) % 157.61/158.02 (step @p102 :rule true_elim :premises (@p101)) % 157.61/158.02 (step @p103 :rule refl :args (@t371)) % 157.61/158.02 (step @p104 :rule cong :premises (@p103 @p102) :args (@t411)) % 157.61/158.02 (step @p105 :rule refl :args (@t366)) % 157.61/158.02 (step @p106 :rule cong :premises (@p105 @p104) :args (@t412)) % 157.61/158.02 (step @p107 :rule refl :args (@t408)) % 157.61/158.02 (step @p108 :rule cong :premises (@p107 @p106) :args (@t413)) % 157.61/158.02 (step @p109 :rule refl :args (@t373)) % 157.61/158.02 (step @p110 :rule cong :premises (@p109 @p108) :args ((=> @t373 @t413))) % 157.61/158.02 (assume-push @p3017 @t373) % 157.61/158.02 (step @p112 :rule instantiate :premises (@p96) :args ((@list @t407))) % 157.61/158.02 (step-pop @p3018 :rule scope :premises (@p112)) % 157.61/158.02 (step @p113 :rule process_scope :premises (@p3018) :args (@t413)) % 157.61/158.02 (step @p115 :rule eq_resolve :premises (@p113 @p110)) % 157.61/158.02 (step @p116 :rule implies_elim :premises (@p115)) % 157.61/158.02 (step @p117 :rule chain_m_resolution :premises (@p116 @p96) :args (@t414 @t415 @t416)) % 157.61/158.02 (step @p118 :rule eq-symm :args (@t432 @t433)) % 157.61/158.02 (step @p119 :rule refl :args (@t433)) % 157.61/158.02 (step @p120 :rule refl :args (@t422)) % 157.61/158.02 (step @p121 :rule eq-symm :args (@t424 @t425)) % 157.61/158.02 (step @p122 :rule cong :premises (@p121) :args (@t434)) % 157.61/158.02 (step @p123 :rule eq-symm :args (@t428 @t429)) % 157.61/158.02 (step @p124 :rule cong :premises (@p123) :args (@t435)) % 157.61/158.02 (step @p125 :rule nary_cong :premises (@p124 @p122 @p120) :args (@t436)) % 157.61/158.02 (step @p126 :rule cong :premises (@p125) :args (@t437)) % 157.61/158.02 (step @p127 :rule cong :premises (@p126) :args (@t438)) % 157.61/158.02 (step @p128 :rule eq-symm :args (@t430 @t424)) % 157.61/158.02 (step @p129 :rule eq-symm :args (@t431 @t428)) % 157.61/158.02 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t439)) % 157.61/158.02 (step @p131 :rule nary_cong :premises (@p130 @p127) :args (@t440)) % 157.61/158.02 (step @p132 :rule cong :premises (@p131 @p119) :args ((= @t440 @t433))) % 157.61/158.02 (step @p133 :rule trans :premises (@p132 @p118)) % 157.61/158.02 (step @p134 :rule eq-symm :args (@t433 @t440)) % 157.61/158.02 (step @p135 :rule trans :premises (@p134 @p133)) % 157.61/158.02 (step @p136 :rule cong :premises (@p135) :args (@t441)) % 157.61/158.02 ; trust TRUST PREPROCESS_HO_ELIM % 157.61/158.02 (step @p137 :rule trust :premises () :args ((= (forall @t346 (= @t465 (or (and (= @t462 @t459) (= @t461 @t455)) @t460))) @t441))) % 157.61/158.02 (step @p138 :rule refl :args (@t460)) % 157.61/158.02 (step @p139 :rule refl :args ((tptp.s @t92 @t330))) % 157.61/158.02 (step @p140 :rule refl :args (@t330)) % 157.61/158.02 (step @p141 :rule refl :args (@t453)) % 157.61/158.02 (step @p142 :rule cong :premises (@p141 @p140) :args (@t455)) % 157.61/158.02 (step @p143 :rule trans :premises (@p142 @p139)) % 157.61/158.02 (step @p144 :rule refl :args (tptp.s)) % 157.61/158.02 (step @p145 :rule ho_cong :premises (@p144 @p141)) % 157.61/158.02 (step @p146 :rule ho_cong :premises (@p145 @p140)) % 157.61/158.02 (step @p147 :rule cong :premises (@p146 @p143) :args ((= (_ @t466 @t330) @t455))) % 157.61/158.02 (step @p148 :rule symm :premises (@p147)) % 157.61/158.02 (step @p149 :rule refl :args (@t331)) % 157.61/158.02 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 157.61/158.02 (step @p151 :rule refl :args (@t92)) % 157.61/158.02 (step @p152 :rule cong :premises (@p151 @p141) :args ((= @t92 @t453))) % 157.61/158.02 (step @p153 :rule symm :premises (@p152)) % 157.61/158.02 (step @p154 :rule eq_resolve :premises (@p151 @p153)) % 157.61/158.02 (step @p155 :rule ho_cong :premises (@p144 @p154)) % 157.61/158.02 (step @p156 :rule ho_cong :premises (@p155 @p140)) % 157.61/158.02 (step @p157 :rule trans :premises (@p156 @p150)) % 157.61/158.02 (step @p158 :rule refl :args ((tptp.s @t92 tptp.c_2Eoption_2ENONE_2E0))) % 157.61/158.02 (step @p159 :rule refl :args (tptp.c_2Eoption_2ENONE_2E0)) % 157.61/158.02 (step @p160 :rule cong :premises (@p141 @p159) :args (@t461)) % 157.61/158.02 (step @p161 :rule trans :premises (@p160 @p158)) % 157.61/158.02 (step @p162 :rule ho_cong :premises (@p145 @p159)) % 157.61/158.02 (step @p163 :rule cong :premises (@p162 @p161) :args ((= (_ @t466 tptp.c_2Eoption_2ENONE_2E0) @t461))) % 157.61/158.02 (step @p164 :rule symm :premises (@p163)) % 157.61/158.02 (step @p165 :rule refl :args (@t144)) % 157.61/158.02 (step @p166 :rule eq_resolve :premises (@p165 @p164)) % 157.61/158.02 (step @p167 :rule ho_cong :premises (@p155 @p159)) % 157.61/158.02 (step @p168 :rule trans :premises (@p167 @p166)) % 157.61/158.02 (step @p169 :rule cong :premises (@p168 @p157) :args (@t467)) % 157.61/158.02 (step @p170 :rule refl :args ((tptp.s @t72 @t39))) % 157.61/158.02 (step @p171 :rule refl :args (@t39)) % 157.61/158.02 (step @p172 :rule refl :args (@t457)) % 157.61/158.02 (step @p173 :rule cong :premises (@p172 @p171) :args (@t459)) % 157.61/158.02 (step @p174 :rule trans :premises (@p173 @p170)) % 157.61/158.02 (step @p175 :rule ho_cong :premises (@p144 @p172)) % 157.61/158.02 (step @p176 :rule ho_cong :premises (@p175 @p171)) % 157.61/158.02 (step @p177 :rule cong :premises (@p176 @p174) :args ((= (_ @t468 @t39) @t459))) % 157.61/158.02 (step @p178 :rule symm :premises (@p177)) % 157.61/158.02 (step @p179 :rule refl :args (@t335)) % 157.61/158.02 (step @p180 :rule eq_resolve :premises (@p179 @p178)) % 157.61/158.02 (step @p181 :rule refl :args (@t72)) % 157.61/158.02 (step @p182 :rule cong :premises (@p181 @p172) :args ((= @t72 @t457))) % 157.61/158.02 (step @p183 :rule symm :premises (@p182)) % 157.61/158.02 (step @p184 :rule eq_resolve :premises (@p181 @p183)) % 157.61/158.02 (step @p185 :rule ho_cong :premises (@p144 @p184)) % 157.61/158.02 (step @p186 :rule ho_cong :premises (@p185 @p171)) % 157.61/158.02 (step @p187 :rule trans :premises (@p186 @p180)) % 157.61/158.02 (step @p188 :rule refl :args ((tptp.s @t72 tptp.c_2Eoption_2ENONE_2E0))) % 157.61/158.02 (step @p189 :rule cong :premises (@p172 @p159) :args (@t462)) % 157.61/158.02 (step @p190 :rule trans :premises (@p189 @p188)) % 157.61/158.02 (step @p191 :rule ho_cong :premises (@p175 @p159)) % 157.61/158.02 (step @p192 :rule cong :premises (@p191 @p190) :args ((= (_ @t468 tptp.c_2Eoption_2ENONE_2E0) @t462))) % 157.61/158.02 (step @p193 :rule symm :premises (@p192)) % 157.61/158.02 (step @p194 :rule refl :args (@t142)) % 157.61/158.02 (step @p195 :rule eq_resolve :premises (@p194 @p193)) % 157.61/158.02 (step @p196 :rule ho_cong :premises (@p185 @p159)) % 157.61/158.02 (step @p197 :rule trans :premises (@p196 @p195)) % 157.61/158.02 (step @p198 :rule cong :premises (@p197 @p187) :args (@t469)) % 157.61/158.02 (step @p199 :rule nary_cong :premises (@p198 @p169) :args (@t470)) % 157.61/158.02 (step @p200 :rule nary_cong :premises (@p199 @p138) :args (@t471)) % 157.61/158.02 (step @p201 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t343))) % 157.61/158.02 (step @p202 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t342))) % 157.61/158.02 (step @p203 :rule refl :args ((tptp.c_2Eoption_2EOPTREL_2E3 @t322 @t335 @t331))) % 157.61/158.02 (step @p204 :rule refl :args ((tptp.s @t102 @t321))) % 157.61/158.02 (step @p205 :rule refl :args (@t321)) % 157.61/158.02 (step @p206 :rule refl :args ((tptp.tyop_2Emin_2Efun @t3 @t101))) % 157.61/158.02 (step @p207 :rule refl :args (@t444)) % 157.61/158.02 (step @p208 :rule refl :args (@t3)) % 157.61/158.02 (step @p209 :rule cong :premises (@p208 @p207) :args (@t445)) % 157.61/158.02 (step @p210 :rule trans :premises (@p209 @p206)) % 157.61/158.02 (step @p211 :rule cong :premises (@p210 @p205) :args (@t446)) % 157.61/158.02 (step @p212 :rule trans :premises (@p211 @p204)) % 157.61/158.02 (step @p213 :rule cong :premises (@p212 @p174 @p143) :args (@t463)) % 157.61/158.02 (step @p214 :rule trans :premises (@p213 @p203)) % 157.61/158.02 (step @p215 :rule cong :premises (@p59 @p214) :args (@t464)) % 157.61/158.02 (step @p216 :rule trans :premises (@p215 @p202)) % 157.61/158.02 (step @p217 :rule cong :premises (@p216) :args (@t465)) % 157.61/158.02 (step @p218 :rule trans :premises (@p217 @p201)) % 157.61/158.02 (step @p219 :rule ho_cong :premises (@p74 @p216)) % 157.61/158.02 (step @p220 :rule cong :premises (@p219 @p218) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t464) @t465))) % 157.61/158.02 (step @p221 :rule symm :premises (@p220)) % 157.61/158.02 (step @p222 :rule refl :args (@t344)) % 157.61/158.02 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 157.61/158.02 (step @p224 :rule ho_cong :premises (@p62 @p214)) % 157.61/158.02 (step @p225 :rule cong :premises (@p224 @p216) :args ((= (_ @t38 @t463) @t464))) % 157.61/158.02 (step @p226 :rule symm :premises (@p225)) % 157.61/158.02 (step @p227 :rule refl :args (@t343)) % 157.61/158.02 (step @p228 :rule eq_resolve :premises (@p227 @p226)) % 157.61/158.02 (step @p229 :rule refl :args (tptp.c_2Eoption_2EOPTREL_2E3)) % 157.61/158.02 (step @p230 :rule ho_cong :premises (@p229 @p212)) % 157.61/158.02 (step @p231 :rule ho_cong :premises (@p230 @p174)) % 157.61/158.02 (step @p232 :rule ho_cong :premises (@p231 @p143)) % 157.61/158.02 (step @p233 :rule cong :premises (@p232 @p214) :args ((= (_ (_ (_ tptp.c_2Eoption_2EOPTREL_2E3 @t446) @t459) @t455) @t463))) % 157.61/158.02 (step @p234 :rule symm :premises (@p233)) % 157.61/158.02 (step @p235 :rule refl :args (@t342)) % 157.61/158.02 (step @p236 :rule eq_resolve :premises (@p235 @p234)) % 157.61/158.02 (step @p237 :rule ho_cong :premises (@p144 @p210)) % 157.61/158.02 (step @p238 :rule ho_cong :premises (@p237 @p205)) % 157.61/158.02 (step @p239 :rule cong :premises (@p238 @p212) :args ((= (_ (_ tptp.s @t445) @t321) @t446))) % 157.61/158.02 (step @p240 :rule symm :premises (@p239)) % 157.61/158.02 (step @p241 :rule refl :args (@t322)) % 157.61/158.02 (step @p242 :rule eq_resolve :premises (@p241 @p240)) % 157.61/158.02 (step @p243 :rule refl :args (@t4)) % 157.61/158.02 (step @p244 :rule ho_cong :premises (@p243 @p207)) % 157.61/158.02 (step @p245 :rule cong :premises (@p244 @p210) :args ((= (_ @t4 @t444) @t445))) % 157.61/158.02 (step @p246 :rule symm :premises (@p245)) % 157.61/158.02 (step @p247 :rule refl :args (@t102)) % 157.61/158.02 (step @p248 :rule eq_resolve :premises (@p247 @p246)) % 157.61/158.02 (step @p249 :rule refl :args (@t101)) % 157.61/158.02 (step @p250 :rule cong :premises (@p249 @p207) :args ((= @t101 @t444))) % 157.61/158.02 (step @p251 :rule symm :premises (@p250)) % 157.61/158.02 (step @p252 :rule eq_resolve :premises (@p249 @p251)) % 157.61/158.02 (step @p253 :rule ho_cong :premises (@p243 @p252)) % 157.61/158.02 (step @p254 :rule trans :premises (@p253 @p248)) % 157.61/158.02 (step @p255 :rule ho_cong :premises (@p144 @p254)) % 157.61/158.02 (step @p256 :rule ho_cong :premises (@p255 @p205)) % 157.61/158.02 (step @p257 :rule trans :premises (@p256 @p242)) % 157.61/158.02 (step @p258 :rule ho_cong :premises (@p229 @p257)) % 157.61/158.02 (step @p259 :rule ho_cong :premises (@p258 @p187)) % 157.61/158.02 (step @p260 :rule ho_cong :premises (@p259 @p157)) % 157.61/158.02 (step @p261 :rule trans :premises (@p260 @p236)) % 157.61/158.02 (step @p262 :rule ho_cong :premises (@p62 @p261)) % 157.61/158.02 (step @p263 :rule trans :premises (@p262 @p228)) % 157.61/158.02 (step @p264 :rule ho_cong :premises (@p74 @p263)) % 157.61/158.02 (step @p265 :rule trans :premises (@p264 @p223)) % 157.61/158.02 (step @p266 :rule cong :premises (@p265 @p200) :args (@t472)) % 157.61/158.02 (step @p267 :rule cong :premises (@p266) :args ((forall @t346 @t472))) % 157.61/158.02 (step @p268 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t326))) % 157.61/158.02 (step @p269 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t325))) % 157.61/158.02 (step @p270 :rule refl :args ((tptp.app_2E2 @t324 @t318))) % 157.61/158.02 (step @p271 :rule refl :args (@t442)) % 157.61/158.02 (step @p272 :rule refl :args ((tptp.s @t101 @t323))) % 157.61/158.02 (step @p273 :rule refl :args ((tptp.app_2E2 @t322 @t320))) % 157.61/158.02 (step @p274 :rule refl :args (@t443)) % 157.61/158.02 (step @p275 :rule cong :premises (@p212 @p274) :args (@t447)) % 157.61/158.02 (step @p276 :rule trans :premises (@p275 @p273)) % 157.61/158.02 (step @p277 :rule cong :premises (@p207 @p276) :args (@t448)) % 157.61/158.02 (step @p278 :rule trans :premises (@p277 @p272)) % 157.61/158.02 (step @p279 :rule cong :premises (@p278 @p271) :args (@t449)) % 157.61/158.02 (step @p280 :rule trans :premises (@p279 @p270)) % 157.61/158.02 (step @p281 :rule cong :premises (@p59 @p280) :args (@t450)) % 157.61/158.02 (step @p282 :rule trans :premises (@p281 @p269)) % 157.61/158.02 (step @p283 :rule cong :premises (@p282) :args (@t451)) % 157.61/158.02 (step @p284 :rule trans :premises (@p283 @p268)) % 157.61/158.02 (step @p285 :rule ho_cong :premises (@p74 @p282)) % 157.61/158.02 (step @p286 :rule cong :premises (@p285 @p284) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t450) @t451))) % 157.61/158.02 (step @p287 :rule symm :premises (@p286)) % 157.61/158.02 (step @p288 :rule refl :args (@t327)) % 157.61/158.02 (step @p289 :rule eq_resolve :premises (@p288 @p287)) % 157.61/158.02 (step @p290 :rule ho_cong :premises (@p62 @p280)) % 157.61/158.02 (step @p291 :rule cong :premises (@p290 @p282) :args ((= (_ @t38 @t449) @t450))) % 157.61/158.02 (step @p292 :rule symm :premises (@p291)) % 157.61/158.02 (step @p293 :rule refl :args (@t326)) % 157.61/158.02 (step @p294 :rule eq_resolve :premises (@p293 @p292)) % 157.61/158.02 (step @p295 :rule refl :args (tptp.app_2E2)) % 157.61/158.02 (step @p296 :rule ho_cong :premises (@p295 @p278)) % 157.61/158.02 (step @p297 :rule ho_cong :premises (@p296 @p271)) % 157.61/158.02 (step @p298 :rule cong :premises (@p297 @p280) :args ((= (_ (_ tptp.app_2E2 @t448) @t442) @t449))) % 157.61/158.02 (step @p299 :rule symm :premises (@p298)) % 157.61/158.02 (step @p300 :rule refl :args (@t325)) % 157.61/158.02 (step @p301 :rule eq_resolve :premises (@p300 @p299)) % 157.61/158.02 (step @p302 :rule refl :args (@t318)) % 157.61/158.02 (step @p303 :rule cong :premises (@p302 @p271) :args ((= @t318 @t442))) % 157.61/158.02 (step @p304 :rule symm :premises (@p303)) % 157.61/158.02 (step @p305 :rule eq_resolve :premises (@p302 @p304)) % 157.61/158.02 (step @p306 :rule ho_cong :premises (@p144 @p207)) % 157.61/158.02 (step @p307 :rule ho_cong :premises (@p306 @p276)) % 157.61/158.02 (step @p308 :rule cong :premises (@p307 @p278) :args ((= (_ (_ tptp.s @t444) @t447) @t448))) % 157.61/158.02 (step @p309 :rule symm :premises (@p308)) % 157.61/158.02 (step @p310 :rule refl :args (@t324)) % 157.61/158.02 (step @p311 :rule eq_resolve :premises (@p310 @p309)) % 157.61/158.02 (step @p312 :rule ho_cong :premises (@p295 @p212)) % 157.61/158.02 (step @p313 :rule ho_cong :premises (@p312 @p274)) % 157.61/158.02 (step @p314 :rule cong :premises (@p313 @p276) :args ((= (_ (_ tptp.app_2E2 @t446) @t443) @t447))) % 157.61/158.02 (step @p315 :rule symm :premises (@p314)) % 157.61/158.02 (step @p316 :rule refl :args (@t323)) % 157.61/158.02 (step @p317 :rule eq_resolve :premises (@p316 @p315)) % 157.61/158.02 (step @p318 :rule refl :args (@t320)) % 157.61/158.02 (step @p319 :rule cong :premises (@p318 @p274) :args ((= @t320 @t443))) % 157.61/158.02 (step @p320 :rule symm :premises (@p319)) % 157.61/158.02 (step @p321 :rule eq_resolve :premises (@p318 @p320)) % 157.61/158.02 (step @p322 :rule ho_cong :premises (@p295 @p257)) % 157.61/158.02 (step @p323 :rule ho_cong :premises (@p322 @p321)) % 157.61/158.02 (step @p324 :rule trans :premises (@p323 @p317)) % 157.61/158.02 (step @p325 :rule ho_cong :premises (@p144 @p252)) % 157.61/158.02 (step @p326 :rule ho_cong :premises (@p325 @p324)) % 157.61/158.02 (step @p327 :rule trans :premises (@p326 @p311)) % 157.61/158.02 (step @p328 :rule ho_cong :premises (@p295 @p327)) % 157.61/158.02 (step @p329 :rule ho_cong :premises (@p328 @p305)) % 157.61/158.02 (step @p330 :rule trans :premises (@p329 @p301)) % 157.61/158.02 (step @p331 :rule ho_cong :premises (@p62 @p330)) % 157.61/158.02 (step @p332 :rule trans :premises (@p331 @p294)) % 157.61/158.02 (step @p333 :rule ho_cong :premises (@p74 @p332)) % 157.61/158.02 (step @p334 :rule trans :premises (@p333 @p289)) % 157.61/158.02 (step @p335 :rule cong :premises (@p334) :args (@t473)) % 157.61/158.02 (step @p336 :rule refl :args ((tptp.s @t92 @t328))) % 157.61/158.02 (step @p337 :rule refl :args ((tptp.c_2Eoption_2ESOME_2E1 @t318))) % 157.61/158.02 (step @p338 :rule cong :premises (@p271) :args (@t452)) % 157.61/158.02 (step @p339 :rule trans :premises (@p338 @p337)) % 157.61/158.02 (step @p340 :rule cong :premises (@p141 @p339) :args (@t454)) % 157.61/158.02 (step @p341 :rule trans :premises (@p340 @p336)) % 157.61/158.02 (step @p342 :rule ho_cong :premises (@p145 @p339)) % 157.61/158.02 (step @p343 :rule cong :premises (@p342 @p341) :args ((= (_ @t466 @t452) @t454))) % 157.61/158.02 (step @p344 :rule symm :premises (@p343)) % 157.61/158.02 (step @p345 :rule refl :args (@t329)) % 157.61/158.02 (step @p346 :rule eq_resolve :premises (@p345 @p344)) % 157.61/158.02 (step @p347 :rule refl :args (tptp.c_2Eoption_2ESOME_2E1)) % 157.61/158.02 (step @p348 :rule ho_cong :premises (@p347 @p271)) % 157.61/158.02 (step @p349 :rule cong :premises (@p348 @p339) :args ((= (_ tptp.c_2Eoption_2ESOME_2E1 @t442) @t452))) % 157.61/158.02 (step @p350 :rule symm :premises (@p349)) % 157.61/158.02 (step @p351 :rule refl :args (@t328)) % 157.61/158.02 (step @p352 :rule eq_resolve :premises (@p351 @p350)) % 157.61/158.02 (step @p353 :rule ho_cong :premises (@p347 @p305)) % 157.61/158.02 (step @p354 :rule trans :premises (@p353 @p352)) % 157.61/158.02 (step @p355 :rule ho_cong :premises (@p155 @p354)) % 157.61/158.02 (step @p356 :rule trans :premises (@p355 @p346)) % 157.61/158.02 (step @p357 :rule cong :premises (@p157 @p356) :args (@t332)) % 157.61/158.02 (step @p358 :rule cong :premises (@p357) :args (@t474)) % 157.61/158.02 (step @p359 :rule refl :args ((tptp.s @t72 @t333))) % 157.61/158.02 (step @p360 :rule refl :args ((tptp.c_2Eoption_2ESOME_2E1 @t320))) % 157.61/158.02 (step @p361 :rule cong :premises (@p274) :args (@t456)) % 157.61/158.02 (step @p362 :rule trans :premises (@p361 @p360)) % 157.61/158.02 (step @p363 :rule cong :premises (@p172 @p362) :args (@t458)) % 157.61/158.02 (step @p364 :rule trans :premises (@p363 @p359)) % 157.61/158.02 (step @p365 :rule ho_cong :premises (@p175 @p362)) % 157.61/158.02 (step @p366 :rule cong :premises (@p365 @p364) :args ((= (_ @t468 @t456) @t458))) % 157.61/158.02 (step @p367 :rule symm :premises (@p366)) % 157.61/158.02 (step @p368 :rule refl :args (@t334)) % 157.61/158.02 (step @p369 :rule eq_resolve :premises (@p368 @p367)) % 157.61/158.02 (step @p370 :rule ho_cong :premises (@p347 @p274)) % 157.61/158.02 (step @p371 :rule cong :premises (@p370 @p362) :args ((= (_ tptp.c_2Eoption_2ESOME_2E1 @t443) @t456))) % 157.61/158.02 (step @p372 :rule symm :premises (@p371)) % 157.61/158.02 (step @p373 :rule refl :args (@t333)) % 157.61/158.02 (step @p374 :rule eq_resolve :premises (@p373 @p372)) % 157.61/158.02 (step @p375 :rule ho_cong :premises (@p347 @p321)) % 157.61/158.02 (step @p376 :rule trans :premises (@p375 @p374)) % 157.61/158.02 (step @p377 :rule ho_cong :premises (@p185 @p376)) % 157.61/158.02 (step @p378 :rule trans :premises (@p377 @p369)) % 157.61/158.02 (step @p379 :rule cong :premises (@p187 @p378) :args (@t336)) % 157.61/158.02 (step @p380 :rule cong :premises (@p379) :args (@t475)) % 157.61/158.02 (step @p381 :rule nary_cong :premises (@p380 @p358 @p335) :args (@t476)) % 157.61/158.02 (step @p382 :rule cong :premises (@p381) :args ((forall @t338 @t476))) % 157.61/158.02 (step @p383 :rule aci_norm :args ((= (or @t475 (or @t474 @t473)) @t476))) % 157.61/158.02 (step @p384 :rule bool-and-de-morgan :args (@t332 @t327 true)) % 157.61/158.02 (step @p385 :rule refl :args (@t475)) % 157.61/158.02 (step @p386 :rule nary_cong :premises (@p385 @p384) :args ((or @t475 (not (and @t332 @t327))))) % 157.61/158.02 (step @p387 :rule bool-and-de-morgan :args (@t336 @t332 (and @t327))) % 157.61/158.02 (step @p388 :rule trans :premises (@p387 @p386)) % 157.61/158.02 (step @p389 :rule trans :premises (@p388 @p383)) % 157.61/158.02 (step @p390 :rule cong :premises (@p389) :args (@t477)) % 157.61/158.02 (step @p391 :rule trans :premises (@p390 @p382)) % 157.61/158.02 (step @p392 :rule cong :premises (@p391) :args (@t478)) % 157.61/158.02 (step @p393 :rule exists-elim :args ((= @t339 @t478))) % 157.61/158.02 (step @p394 :rule trans :premises (@p393 @p392)) % 157.61/158.02 (step @p395 :rule eq-symm :args (@t331 @t144)) % 157.61/158.02 (step @p396 :rule eq-symm :args (@t335 @t142)) % 157.61/158.02 (step @p397 :rule nary_cong :premises (@p396 @p395) :args (@t340)) % 157.61/158.02 (step @p398 :rule nary_cong :premises (@p397 @p394) :args (@t341)) % 157.61/158.02 (step @p399 :rule refl :args (@t344)) % 157.61/158.02 (step @p400 :rule cong :premises (@p399 @p398) :args (@t345)) % 157.61/158.02 (step @p401 :rule cong :premises (@p400) :args (@t347)) % 157.61/158.02 (step @p402 :rule trans :premises (@p401 @p267)) % 157.61/158.02 (step @p403 :rule trans :premises (@p402 @p137 @p136)) % 157.61/158.02 (step @p404 :rule eq_resolve :premises (@p47 @p403)) % 157.61/158.02 (step @p405 :rule refl :args (@t483)) % 157.61/158.02 (step @p406 :rule eq-symm :args (@t484 @t398)) % 157.61/158.02 (step @p407 :rule cong :premises (@p406) :args (@t485)) % 157.61/158.02 (step @p408 :rule eq-symm :args (@t486 @t402)) % 157.61/158.02 (step @p409 :rule cong :premises (@p408) :args (@t487)) % 157.61/158.02 (step @p410 :rule nary_cong :premises (@p409 @p407 @p405) :args (@t488)) % 157.61/158.02 (step @p411 :rule cong :premises (@p410) :args (@t489)) % 157.61/158.02 (step @p412 :rule cong :premises (@p411) :args (@t490)) % 157.61/158.02 (step @p413 :rule aci_norm :args ((= (and @t491 true) @t491))) % 157.61/158.02 (step @p414 :rule eq-refl :args (@t398)) % 157.61/158.02 (step @p415 :rule refl :args (@t491)) % 157.61/158.02 (step @p416 :rule nary_cong :premises (@p415 @p414) :args (@t492)) % 157.61/158.02 (step @p417 :rule trans :premises (@p416 @p413)) % 157.61/158.02 (step @p418 :rule nary_cong :premises (@p417 @p412) :args (@t493)) % 157.61/158.02 (step @p419 :rule cong :premises (@p99 @p418) :args (@t494)) % 157.61/158.02 (step @p420 :rule refl :args (@t495)) % 157.61/158.02 (step @p421 :rule cong :premises (@p420 @p419) :args ((=> @t495 @t494))) % 157.61/158.02 (assume-push @p3019 @t495) % 157.61/158.02 (step @p423 :rule instantiate :premises (@p404) :args ((@list @t395 @t395 @t403 @t401 tptp.c_2Eoption_2ENONE_2E0))) % 157.61/158.02 (step-pop @p3020 :rule scope :premises (@p423)) % 157.61/158.02 (step @p424 :rule process_scope :premises (@p3020) :args (@t494)) % 157.61/158.02 (step @p426 :rule eq_resolve :premises (@p424 @p421)) % 157.61/158.02 (step @p427 :rule implies_elim :premises (@p426)) % 157.61/158.02 (step @p428 :rule chain_m_resolution :premises (@p427 @p404) :args (@t499 @t415 @t500)) % 157.61/158.02 (step @p429 :rule refl :args (@t507)) % 157.61/158.02 (step @p430 :rule eq-symm :args (@t511 @t512)) % 157.61/158.02 (step @p431 :rule cong :premises (@p430) :args (@t514)) % 157.61/158.02 (step @p432 :rule eq-symm :args (@t519 @t520)) % 157.61/158.02 (step @p433 :rule cong :premises (@p432) :args (@t522)) % 157.61/158.02 (step @p434 :rule eq-symm :args (@t528 @t529)) % 157.61/158.02 (step @p435 :rule cong :premises (@p434) :args (@t531)) % 157.61/158.02 (step @p436 :rule eq-symm :args (@t538 @t539)) % 157.61/158.02 (step @p437 :rule cong :premises (@p436) :args (@t541)) % 157.61/158.02 (step @p438 :rule refl :args (@t547)) % 157.61/158.02 (step @p439 :rule refl :args (@t555)) % 157.61/158.02 (step @p440 :rule eq-symm :args (@t563 @t565)) % 157.61/158.02 (step @p441 :rule refl :args (@t566)) % 157.61/158.02 (step @p442 :rule nary_cong :premises (@p441 @p440) :args (@t567)) % 157.61/158.02 (step @p443 :rule cong :premises (@p442) :args (@t569)) % 157.61/158.02 (step @p444 :rule refl :args (@t579)) % 157.61/158.02 (step @p445 :rule refl :args (@t585)) % 157.61/158.02 (step @p446 :rule refl :args (@t591)) % 157.61/158.02 (step @p447 :rule refl :args (@t596)) % 157.61/158.02 (step @p448 :rule eq-symm :args ((= @t600 @t599) @t601)) % 157.61/158.02 (step @p449 :rule refl :args (@t601)) % 157.61/158.02 (step @p450 :rule eq-symm :args (@t599 @t600)) % 157.61/158.02 (step @p451 :rule cong :premises (@p450 @p449) :args ((= @t602 @t601))) % 157.61/158.02 (step @p452 :rule trans :premises (@p451 @p448)) % 157.61/158.02 (step @p453 :rule eq-symm :args (@t601 @t602)) % 157.61/158.02 (step @p454 :rule trans :premises (@p453 @p452)) % 157.61/158.02 (step @p455 :rule cong :premises (@p454) :args (@t604)) % 157.61/158.02 (step @p456 :rule eq-symm :args (@t609 @t610)) % 157.61/158.02 (step @p457 :rule refl :args (@t610)) % 157.61/158.02 (step @p458 :rule eq-symm :args (@t607 @t608)) % 157.61/158.02 (step @p459 :rule cong :premises (@p458 @p457) :args ((= @t611 @t610))) % 157.61/158.02 (step @p460 :rule trans :premises (@p459 @p456)) % 157.61/158.02 (step @p461 :rule eq-symm :args (@t610 @t611)) % 157.61/158.02 (step @p462 :rule trans :premises (@p461 @p460)) % 157.61/158.02 (step @p463 :rule cong :premises (@p462) :args (@t613)) % 157.61/158.02 (step @p464 :rule refl :args (@t616)) % 157.61/158.02 (step @p465 :rule refl :args (@t619)) % 157.61/158.02 (step @p466 :rule eq-symm :args (@t622 @t623)) % 157.61/158.02 (step @p467 :rule cong :premises (@p466) :args (@t624)) % 157.61/158.02 (step @p468 :rule cong :premises (@p467) :args (@t626)) % 157.61/158.02 (step @p469 :rule eq-symm :args (@t629 @t630)) % 157.61/158.02 (step @p470 :rule cong :premises (@p469) :args (@t631)) % 157.61/158.02 (step @p471 :rule cong :premises (@p470) :args (@t633)) % 157.61/158.02 (step @p472 :rule refl :args (@t638)) % 157.61/158.02 (step @p473 :rule eq-symm :args (@t643 @t645)) % 157.61/158.02 (step @p474 :rule eq-symm :args (@t641 @t644)) % 157.61/158.02 (step @p475 :rule cong :premises (@p474 @p473) :args ((= @t647 @t646))) % 157.61/158.02 (step @p476 :rule eq-symm :args (@t646 @t647)) % 157.61/158.02 (step @p477 :rule trans :premises (@p476 @p475)) % 157.61/158.02 (step @p478 :rule cong :premises (@p477) :args (@t649)) % 157.61/158.02 (step @p479 :rule nary_cong :premises (@p478 @p472 @p471 @p468 @p465 @p464 @p463 @p455 @p447 @p446 @p445 @p444 @p443 @p439 @p438 @p437 @p435 @p433 @p431 @p429) :args (@t650)) % 157.61/158.02 ; trust TRUST PREPROCESS_HO_ELIM % 157.61/158.02 (step @p480 :rule trust :premises () :args ((= (and @t732 @t727 @t724 @t721 (forall @t618 @t718) (forall @t615 (not @t717)) @t712 @t706 @t700 @t696 @t692 @t688 @t684 @t680 @t676 @t673 @t669 @t664 @t661 @t654) @t650))) % 157.61/158.02 (step @p481 :rule refl :args (@t654)) % 157.61/158.02 (step @p482 :rule refl :args (@t661)) % 157.61/158.02 (step @p483 :rule refl :args (@t664)) % 157.61/158.02 (step @p484 :rule refl :args (@t669)) % 157.61/158.02 (step @p485 :rule refl :args (@t673)) % 157.61/158.02 (step @p486 :rule refl :args (@t676)) % 157.61/158.02 (step @p487 :rule refl :args (@t680)) % 157.61/158.02 (step @p488 :rule refl :args (@t684)) % 157.61/158.02 (step @p489 :rule refl :args (@t688)) % 157.61/158.02 (step @p490 :rule refl :args (@t692)) % 157.61/158.02 (step @p491 :rule refl :args (@t696)) % 157.61/158.02 (step @p492 :rule refl :args (@t700)) % 157.61/158.02 (step @p493 :rule refl :args (@t706)) % 157.61/158.02 (step @p494 :rule refl :args (@t712)) % 157.61/158.02 (step @p495 :rule bool-eq-false :args (@t717)) % 157.61/158.02 (step @p496 :rule eq-symm :args (false @t717)) % 157.61/158.02 (step @p497 :rule trans :premises (@p496 @p495)) % 157.61/158.02 (step @p498 :rule cong :premises (@p497) :args (@t733)) % 157.61/158.02 (step @p499 :rule bool-eq-true :args (@t718)) % 157.61/158.02 (step @p500 :rule eq-symm :args (true @t718)) % 157.61/158.02 (step @p501 :rule trans :premises (@p500 @p499)) % 157.61/158.02 (step @p502 :rule cong :premises (@p501) :args (@t734)) % 157.61/158.02 (step @p503 :rule refl :args (@t721)) % 157.61/158.02 (step @p504 :rule refl :args (@t724)) % 157.61/158.02 (step @p505 :rule refl :args (@t727)) % 157.61/158.02 (step @p506 :rule refl :args (@t732)) % 157.61/158.02 (step @p507 :rule nary_cong :premises (@p506 @p505 @p504 @p503 @p502 @p498 @p494 @p493 @p492 @p491 @p490 @p489 @p488 @p487 @p486 @p485 @p484 @p483 @p482 @p481) :args ((and @t732 @t727 @t724 @t721 @t734 @t733 @t712 @t706 @t700 @t696 @t692 @t688 @t684 @t680 @t676 @t673 @t669 @t664 @t661 @t654))) % 157.61/158.02 (step @p508 :rule refl :args (@t717)) % 157.61/158.02 (step @p509 :rule bool-eq-false :args (tptp.mono_2Ec_2Ebool_2EF)) % 157.61/158.02 (step @p510 :rule symm :premises (@p509)) % 157.61/158.02 (step @p511 :rule aci_norm :args ((= (or @t131 false) @t131))) % 157.61/158.02 (step @p512 :rule quant-var-elim-eq :args ((= (forall @t128 (or (not (= @t127 false)) @t127)) false))) % 157.61/158.02 (step @p513 :rule refl :args (@t127)) % 157.61/158.02 (step @p514 :rule bool-eq-false :args (@t127)) % 157.61/158.02 (step @p515 :rule symm :premises (@p514)) % 157.61/158.02 (step @p516 :rule cong :premises (@p515) :args (@t133)) % 157.61/158.02 (step @p517 :rule bool-double-not-elim :args (@t127)) % 157.61/158.02 (step @p518 :rule symm :premises (@p517)) % 157.61/158.02 (step @p519 :rule trans :premises (@p518 @p516)) % 157.61/158.02 (step @p520 :rule nary_cong :premises (@p519 @p513) :args (@t130)) % 157.61/158.02 (step @p521 :rule aci_norm :args ((= @t127 @t130))) % 157.61/158.02 (step @p522 :rule trans :premises (@p521 @p520)) % 157.61/158.02 (step @p523 :rule cong :premises (@p522) :args (@t735)) % 157.61/158.02 (step @p524 :rule trans :premises (@p523 @p512)) % 157.61/158.02 (step @p525 :rule refl :args (@t131)) % 157.61/158.02 (step @p526 :rule nary_cong :premises (@p525 @p524) :args (@t736)) % 157.61/158.02 (step @p527 :rule trans :premises (@p526 @p511)) % 157.61/158.02 (step @p528 :rule quant-miniscope-or :args ((= (forall @t128 (or @t131 @t127)) @t736))) % 157.61/158.02 (step @p529 :rule trans :premises (@p528 @p527)) % 157.61/158.02 (step @p530 :rule bool-impl-elim :args (tptp.mono_2Ec_2Ebool_2EF @t127)) % 157.61/158.02 (step @p531 :rule cong :premises (@p530) :args (@t129)) % 157.61/158.02 (step @p532 :rule trans :premises (@p531 @p529)) % 157.61/158.02 (step @p533 :rule eq_resolve :premises (@p39 @p532)) % 157.61/158.02 (step @p534 :rule eq_resolve :premises (@p533 @p510)) % 157.61/158.02 (step @p535 :rule cong :premises (@p534 @p508) :args (@t737)) % 157.61/158.02 (step @p536 :rule cong :premises (@p535) :args (@t738)) % 157.61/158.02 (step @p537 :rule refl :args (@t718)) % 157.61/158.02 (step @p538 :rule bool-eq-true :args (tptp.mono_2Ec_2Ebool_2ET)) % 157.61/158.02 (step @p539 :rule symm :premises (@p538)) % 157.61/158.02 (step @p540 :rule eq_resolve :premises (@p37 @p539)) % 157.61/158.02 (step @p541 :rule cong :premises (@p540 @p537) :args (@t739)) % 157.61/158.02 (step @p542 :rule cong :premises (@p541) :args (@t740)) % 157.61/158.02 (step @p543 :rule nary_cong :premises (@p506 @p505 @p504 @p503 @p542 @p536 @p494 @p493 @p492 @p491 @p490 @p489 @p488 @p487 @p486 @p485 @p484 @p483 @p482 @p481) :args ((and @t732 @t727 @t724 @t721 @t740 @t738 @t712 @t706 @t700 @t696 @t692 @t688 @t684 @t680 @t676 @t673 @t669 @t664 @t661 @t654))) % 157.61/158.02 (step @p544 :rule trans :premises (@p543 @p507)) % 157.61/158.02 (step @p545 :rule quant-unused-vars :args ((= @t745 @t654))) % 157.61/158.02 (step @p546 :rule quant-merge-prenex :args ((= @t746 @t745))) % 157.61/158.02 (step @p547 :rule trans :premises (@p546 @p545)) % 157.61/158.02 (step @p548 :rule refl :args ((tptp.s @t747 @t750))) % 157.61/158.02 (step @p549 :rule refl :args ((tptp.c_2Eoption_2EOPTION__JOIN_2E1 @t749))) % 157.61/158.02 (step @p550 :rule refl :args ((tptp.s @t748 tptp.c_2Eoption_2ENONE_2E0))) % 157.61/158.02 (step @p551 :rule refl :args ((tptp.tyop_2Eoption_2Eoption @t747))) % 157.61/158.02 (step @p552 :rule refl :args (@t655)) % 157.61/158.02 (step @p553 :rule cong :premises (@p552) :args (@t656)) % 157.61/158.02 (step @p554 :rule trans :premises (@p553 @p551)) % 157.61/158.02 (step @p555 :rule cong :premises (@p554 @p159) :args (@t657)) % 157.61/158.02 (step @p556 :rule trans :premises (@p555 @p550)) % 157.61/158.02 (step @p557 :rule cong :premises (@p556) :args (@t658)) % 157.61/158.02 (step @p558 :rule trans :premises (@p557 @p549)) % 157.61/158.02 (step @p559 :rule cong :premises (@p552 @p558) :args (@t659)) % 157.61/158.02 (step @p560 :rule trans :premises (@p559 @p548)) % 157.61/158.02 (step @p561 :rule ho_cong :premises (@p144 @p552)) % 157.61/158.02 (step @p562 :rule ho_cong :premises (@p561 @p558)) % 157.61/158.02 (step @p563 :rule cong :premises (@p562 @p560) :args ((= (_ @t751 @t658) @t659))) % 157.61/158.02 (step @p564 :rule symm :premises (@p563)) % 157.61/158.02 (step @p565 :rule refl :args (@t753)) % 157.61/158.02 (step @p566 :rule eq_resolve :premises (@p565 @p564)) % 157.61/158.02 (step @p567 :rule refl :args (tptp.c_2Eoption_2EOPTION__JOIN_2E1)) % 157.61/158.02 (step @p568 :rule ho_cong :premises (@p567 @p556)) % 157.61/158.02 (step @p569 :rule cong :premises (@p568 @p558) :args ((= (_ tptp.c_2Eoption_2EOPTION__JOIN_2E1 @t657) @t658))) % 157.61/158.02 (step @p570 :rule symm :premises (@p569)) % 157.61/158.02 (step @p571 :rule refl :args (@t750)) % 157.61/158.02 (step @p572 :rule eq_resolve :premises (@p571 @p570)) % 157.61/158.02 (step @p573 :rule ho_cong :premises (@p144 @p554)) % 157.61/158.02 (step @p574 :rule ho_cong :premises (@p573 @p159)) % 157.61/158.02 (step @p575 :rule cong :premises (@p574 @p556) :args ((= (_ (_ tptp.s @t656) tptp.c_2Eoption_2ENONE_2E0) @t657))) % 157.61/158.02 (step @p576 :rule symm :premises (@p575)) % 157.61/158.02 (step @p577 :rule refl :args (@t749)) % 157.61/158.02 (step @p578 :rule eq_resolve :premises (@p577 @p576)) % 157.61/158.02 (step @p579 :rule refl :args (tptp.tyop_2Eoption_2Eoption)) % 157.61/158.02 (step @p580 :rule ho_cong :premises (@p579 @p552)) % 157.61/158.02 (step @p581 :rule cong :premises (@p580 @p554) :args ((= (_ tptp.tyop_2Eoption_2Eoption @t655) @t656))) % 157.61/158.02 (step @p582 :rule symm :premises (@p581)) % 157.61/158.02 (step @p583 :rule refl :args (@t748)) % 157.61/158.02 (step @p584 :rule eq_resolve :premises (@p583 @p582)) % 157.61/158.02 (step @p585 :rule refl :args (@t747)) % 157.61/158.02 (step @p586 :rule cong :premises (@p585 @p552) :args ((= @t747 @t655))) % 157.61/158.02 (step @p587 :rule symm :premises (@p586)) % 157.61/158.02 (step @p588 :rule eq_resolve :premises (@p585 @p587)) % 157.61/158.02 (step @p589 :rule ho_cong :premises (@p579 @p588)) % 157.61/158.02 (step @p590 :rule trans :premises (@p589 @p584)) % 157.61/158.02 (step @p591 :rule ho_cong :premises (@p144 @p590)) % 157.61/158.02 (step @p592 :rule ho_cong :premises (@p591 @p159)) % 157.61/158.02 (step @p593 :rule trans :premises (@p592 @p578)) % 157.61/158.02 (step @p594 :rule ho_cong :premises (@p567 @p593)) % 157.61/158.02 (step @p595 :rule trans :premises (@p594 @p572)) % 157.61/158.02 (step @p596 :rule ho_cong :premises (@p144 @p588)) % 157.61/158.02 (step @p597 :rule ho_cong :premises (@p596 @p595)) % 157.61/158.02 (step @p598 :rule trans :premises (@p597 @p566)) % 157.61/158.02 (step @p599 :rule refl :args ((tptp.s @t747 tptp.c_2Eoption_2ENONE_2E0))) % 157.61/158.02 (step @p600 :rule cong :premises (@p552 @p159) :args (@t660)) % 157.61/158.02 (step @p601 :rule trans :premises (@p600 @p599)) % 157.61/158.02 (step @p602 :rule ho_cong :premises (@p561 @p159)) % 157.61/158.02 (step @p603 :rule cong :premises (@p602 @p601) :args ((= (_ @t751 tptp.c_2Eoption_2ENONE_2E0) @t660))) % 157.61/158.02 (step @p604 :rule symm :premises (@p603)) % 157.61/158.02 (step @p605 :rule refl :args (@t754)) % 157.61/158.02 (step @p606 :rule eq_resolve :premises (@p605 @p604)) % 157.61/158.02 (step @p607 :rule ho_cong :premises (@p596 @p159)) % 157.61/158.02 (step @p608 :rule trans :premises (@p607 @p606)) % 157.61/158.02 (step @p609 :rule cong :premises (@p608 @p598) :args (@t755)) % 157.61/158.02 (step @p610 :rule cong :premises (@p609) :args (@t756)) % 157.61/158.02 (step @p611 :rule quant-unused-vars :args ((= @t761 @t756))) % 157.61/158.02 (step @p612 :rule trans :premises (@p611 @p610)) % 157.61/158.02 (step @p613 :rule quant-unused-vars :args ((= @t765 @t664))) % 157.61/158.02 (step @p614 :rule quant-merge-prenex :args ((= @t766 @t765))) % 157.61/158.02 (step @p615 :rule trans :premises (@p614 @p613)) % 157.61/158.02 (step @p616 :rule quant-unused-vars :args ((= @t770 @t669))) % 157.61/158.02 (step @p617 :rule quant-merge-prenex :args ((= @t771 @t770))) % 157.61/158.02 (step @p618 :rule trans :premises (@p617 @p616)) % 157.61/158.02 (step @p619 :rule quant-unused-vars :args ((= @t775 @t673))) % 157.61/158.02 (step @p620 :rule quant-merge-prenex :args ((= @t776 @t775))) % 157.61/158.02 (step @p621 :rule trans :premises (@p620 @p619)) % 157.61/158.02 (step @p622 :rule quant-unused-vars :args ((= @t780 @t676))) % 157.61/158.02 (step @p623 :rule quant-merge-prenex :args ((= @t781 @t780))) % 157.61/158.02 (step @p624 :rule trans :premises (@p623 @p622)) % 157.61/158.02 (step @p625 :rule quant-unused-vars :args ((= @t785 @t680))) % 157.61/158.02 (step @p626 :rule quant-merge-prenex :args ((= @t786 @t785))) % 157.61/158.02 (step @p627 :rule trans :premises (@p626 @p625)) % 157.61/158.02 (step @p628 :rule quant-unused-vars :args ((= @t788 @t684))) % 157.61/158.02 (step @p629 :rule quant-merge-prenex :args ((= @t789 @t788))) % 157.61/158.02 (step @p630 :rule trans :premises (@p629 @p628)) % 157.61/158.02 (step @p631 :rule quant-unused-vars :args ((= @t791 @t688))) % 157.61/158.02 (step @p632 :rule quant-merge-prenex :args ((= @t792 @t791))) % 157.61/158.02 (step @p633 :rule trans :premises (@p632 @p631)) % 157.61/158.02 (step @p634 :rule quant-unused-vars :args ((= @t797 @t692))) % 157.61/158.02 (step @p635 :rule quant-merge-prenex :args ((= @t798 @t797))) % 157.61/158.02 (step @p636 :rule trans :premises (@p635 @p634)) % 157.61/158.02 (step @p637 :rule quant-unused-vars :args ((= @t803 @t696))) % 157.61/158.02 (step @p638 :rule quant-merge-prenex :args ((= @t804 @t803))) % 157.61/158.02 (step @p639 :rule trans :premises (@p638 @p637)) % 157.61/158.02 (step @p640 :rule quant-unused-vars :args ((= @t809 @t700))) % 157.61/158.02 (step @p641 :rule quant-merge-prenex :args ((= @t810 @t809))) % 157.61/158.02 (step @p642 :rule trans :premises (@p641 @p640)) % 157.61/158.02 (step @p643 :rule quant-unused-vars :args ((= (forall @t815 @t705) @t706))) % 157.61/158.02 (step @p644 :rule eq-symm :args (@t702 @t703)) % 157.61/158.02 (step @p645 :rule refl :args (@t704)) % 157.61/158.02 (step @p646 :rule cong :premises (@p645 @p644) :args (@t816)) % 157.61/158.02 (step @p647 :rule cong :premises (@p646) :args (@t817)) % 157.61/158.02 (step @p648 :rule trans :premises (@p647 @p643)) % 157.61/158.02 (step @p649 :rule quant-merge-prenex :args ((= @t818 @t817))) % 157.61/158.02 (step @p650 :rule trans :premises (@p649 @p648)) % 157.61/158.02 (step @p651 :rule quant-unused-vars :args ((= (forall @t823 @t711) @t712))) % 157.61/158.02 (step @p652 :rule eq-symm :args (@t708 @t709)) % 157.61/158.02 (step @p653 :rule refl :args (@t710)) % 157.61/158.02 (step @p654 :rule cong :premises (@p653 @p652) :args (@t824)) % 157.61/158.02 (step @p655 :rule cong :premises (@p654) :args (@t825)) % 157.61/158.02 (step @p656 :rule trans :premises (@p655 @p651)) % 157.61/158.02 (step @p657 :rule quant-merge-prenex :args ((= @t826 @t825))) % 157.61/158.02 (step @p658 :rule trans :premises (@p657 @p656)) % 157.61/158.02 (step @p659 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t830))) % 157.61/158.02 (step @p660 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t829))) % 157.61/158.02 (step @p661 :rule refl :args ((tptp.c_2Eoption_2EIS__SOME_2E1 @t828))) % 157.61/158.02 (step @p662 :rule refl :args ((tptp.s @t827 tptp.c_2Eoption_2ENONE_2E0))) % 157.61/158.02 (step @p663 :rule refl :args (@t713)) % 157.61/158.02 (step @p664 :rule cong :premises (@p663 @p159) :args (@t714)) % 157.61/158.02 (step @p665 :rule trans :premises (@p664 @p662)) % 157.61/158.02 (step @p666 :rule cong :premises (@p665) :args (@t715)) % 157.61/158.02 (step @p667 :rule trans :premises (@p666 @p661)) % 157.61/158.02 (step @p668 :rule cong :premises (@p59 @p667) :args (@t716)) % 157.61/158.02 (step @p669 :rule trans :premises (@p668 @p660)) % 157.61/158.02 (step @p670 :rule cong :premises (@p669) :args (@t717)) % 157.61/158.02 (step @p671 :rule trans :premises (@p670 @p659)) % 157.61/158.02 (step @p672 :rule ho_cong :premises (@p74 @p669)) % 157.61/158.02 (step @p673 :rule cong :premises (@p672 @p671) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t716) @t717))) % 157.61/158.02 (step @p674 :rule symm :premises (@p673)) % 157.61/158.02 (step @p675 :rule refl :args (@t831)) % 157.61/158.02 (step @p676 :rule eq_resolve :premises (@p675 @p674)) % 157.61/158.02 (step @p677 :rule ho_cong :premises (@p62 @p667)) % 157.61/158.02 (step @p678 :rule cong :premises (@p677 @p669) :args ((= (_ @t38 @t715) @t716))) % 157.61/158.02 (step @p679 :rule symm :premises (@p678)) % 157.61/158.02 (step @p680 :rule refl :args (@t830)) % 157.61/158.02 (step @p681 :rule eq_resolve :premises (@p680 @p679)) % 157.61/158.02 (step @p682 :rule refl :args (tptp.c_2Eoption_2EIS__SOME_2E1)) % 157.61/158.02 (step @p683 :rule ho_cong :premises (@p682 @p665)) % 157.61/158.02 (step @p684 :rule cong :premises (@p683 @p667) :args ((= (_ tptp.c_2Eoption_2EIS__SOME_2E1 @t714) @t715))) % 157.61/158.02 (step @p685 :rule symm :premises (@p684)) % 157.61/158.02 (step @p686 :rule refl :args (@t829)) % 157.61/158.02 (step @p687 :rule eq_resolve :premises (@p686 @p685)) % 157.61/158.02 (step @p688 :rule ho_cong :premises (@p144 @p663)) % 157.61/158.02 (step @p689 :rule ho_cong :premises (@p688 @p159)) % 157.61/158.02 (step @p690 :rule cong :premises (@p689 @p665) :args ((= (_ (_ tptp.s @t713) tptp.c_2Eoption_2ENONE_2E0) @t714))) % 157.61/158.02 (step @p691 :rule symm :premises (@p690)) % 157.61/158.02 (step @p692 :rule refl :args (@t828)) % 157.61/158.02 (step @p693 :rule eq_resolve :premises (@p692 @p691)) % 157.61/158.02 (step @p694 :rule refl :args (@t827)) % 157.61/158.02 (step @p695 :rule cong :premises (@p694 @p663) :args ((= @t827 @t713))) % 157.61/158.02 (step @p696 :rule symm :premises (@p695)) % 157.61/158.02 (step @p697 :rule eq_resolve :premises (@p694 @p696)) % 157.61/158.02 (step @p698 :rule ho_cong :premises (@p144 @p697)) % 157.61/158.02 (step @p699 :rule ho_cong :premises (@p698 @p159)) % 157.61/158.02 (step @p700 :rule trans :premises (@p699 @p693)) % 157.61/158.02 (step @p701 :rule ho_cong :premises (@p682 @p700)) % 157.61/158.02 (step @p702 :rule trans :premises (@p701 @p687)) % 157.61/158.02 (step @p703 :rule ho_cong :premises (@p62 @p702)) % 157.61/158.02 (step @p704 :rule trans :premises (@p703 @p681)) % 157.61/158.02 (step @p705 :rule ho_cong :premises (@p74 @p704)) % 157.61/158.02 (step @p706 :rule trans :premises (@p705 @p676)) % 157.61/158.02 (step @p707 :rule refl :args (tptp.mono_2Ec_2Ebool_2EF)) % 157.61/158.02 (step @p708 :rule cong :premises (@p707 @p706) :args (@t832)) % 157.61/158.02 (step @p709 :rule cong :premises (@p708) :args (@t833)) % 157.61/158.02 (step @p710 :rule quant-unused-vars :args ((= @t838 @t833))) % 157.61/158.02 (step @p711 :rule trans :premises (@p710 @p709)) % 157.61/158.02 (step @p712 :rule quant-unused-vars :args ((= @t843 @t740))) % 157.61/158.02 (step @p713 :rule quant-merge-prenex :args ((= @t844 @t843))) % 157.61/158.02 (step @p714 :rule trans :premises (@p713 @p712)) % 157.61/158.02 (step @p715 :rule quant-unused-vars :args ((= @t849 @t721))) % 157.61/158.02 (step @p716 :rule quant-merge-prenex :args ((= @t850 @t849))) % 157.61/158.02 (step @p717 :rule trans :premises (@p716 @p715)) % 157.61/158.02 (step @p718 :rule quant-unused-vars :args ((= @t855 @t724))) % 157.61/158.02 (step @p719 :rule quant-merge-prenex :args ((= @t856 @t855))) % 157.61/158.02 (step @p720 :rule trans :premises (@p719 @p718)) % 157.61/158.02 (step @p721 :rule quant-unused-vars :args ((= @t861 @t727))) % 157.61/158.02 (step @p722 :rule quant-merge-prenex :args ((= @t862 @t861))) % 157.61/158.02 (step @p723 :rule trans :premises (@p722 @p721)) % 157.61/158.02 (step @p724 :rule quant-unused-vars :args ((= @t867 @t732))) % 157.61/158.02 (step @p725 :rule quant-merge-prenex :args ((= @t868 @t867))) % 157.61/158.02 (step @p726 :rule trans :premises (@p725 @p724)) % 157.61/158.02 (step @p727 :rule nary_cong :premises (@p726 @p723 @p720 @p717 @p714 @p711 @p658 @p650 @p642 @p639 @p636 @p633 @p630 @p627 @p624 @p621 @p618 @p615 @p612 @p547) :args ((and @t868 @t862 @t856 @t850 @t844 @t838 @t826 @t818 @t810 @t804 @t798 @t792 @t789 @t786 @t781 @t776 @t771 @t766 @t761 @t746))) % 157.61/158.02 (step @p728 :rule alpha_equiv :args (@t876 @t877 (@list @t501 @t744 @t743 @t742 @t741))) % 157.61/158.02 (step @p729 :rule alpha_equiv :args (@t879 @t877 (@list @t508 @t760 @t759 @t758 @t757))) % 157.61/158.02 (step @p730 :rule alpha_equiv :args (@t885 @t877 (@list @t515 @t516 @t764 @t763 @t762))) % 157.61/158.02 (step @p731 :rule alpha_equiv :args (@t897 @t877 (@list @t523 @t525 @t769 @t768 @t767))) % 157.61/158.02 (step @p732 :rule alpha_equiv :args (@t908 @t877 (@list @t533 @t532 @t774 @t773 @t772))) % 157.61/158.02 (step @p733 :rule alpha_equiv :args (@t914 @t877 (@list @t543 @t542 @t779 @t778 @t777))) % 157.61/158.02 (step @p734 :rule alpha_equiv :args (@t925 @t877 (@list @t548 @t784 @t783 @t550 @t782))) % 157.61/158.02 (step @p735 :rule alpha_equiv :args (@t939 @t877 (@list @t558 @t557 @t556 @t787 @t560))) % 157.61/158.02 (step @p736 :rule alpha_equiv :args (@t947 @t877 (@list @t572 @t571 @t570 @t790 @t573))) % 157.61/158.02 (step @p737 :rule alpha_equiv :args (@t952 @t877 (@list @t580 @t796 @t795 @t794 @t793))) % 157.61/158.02 (step @p738 :rule alpha_equiv :args (@t957 @t877 (@list @t586 @t802 @t801 @t800 @t799))) % 157.61/158.02 (step @p739 :rule alpha_equiv :args (@t967 @t877 (@list @t592 @t808 @t807 @t806 @t805))) % 157.61/158.02 (step @p740 :rule alpha_equiv :args (@t973 @t877 (@list @t597 @t814 @t813 @t812 @t811))) % 157.61/158.02 (step @p741 :rule alpha_equiv :args (@t979 @t877 (@list @t605 @t822 @t821 @t820 @t819))) % 157.61/158.02 (step @p742 :rule alpha_equiv :args (@t981 @t877 (@list @t614 @t837 @t836 @t835 @t834))) % 157.61/158.02 (step @p743 :rule alpha_equiv :args (@t989 @t877 (@list @t617 @t842 @t841 @t840 @t839))) % 157.61/158.02 (step @p744 :rule alpha_equiv :args (@t994 @t877 (@list @t620 @t848 @t847 @t846 @t845))) % 157.61/158.02 (step @p745 :rule alpha_equiv :args (@t999 @t877 (@list @t627 @t854 @t853 @t852 @t851))) % 157.61/158.02 (step @p746 :rule alpha_equiv :args (@t1006 @t877 (@list @t634 @t860 @t859 @t858 @t857))) % 157.61/158.02 (step @p747 :rule alpha_equiv :args (@t1015 @t877 (@list @t639 @t866 @t865 @t864 @t863))) % 157.61/158.02 (step @p748 :rule nary_cong :premises (@p747 @p746 @p745 @p744 @p743 @p742 @p741 @p740 @p739 @p738 @p737 @p736 @p735 @p734 @p733 @p732 @p731 @p730 @p729 @p728) :args (@t1016)) % 157.61/158.02 (step @p749 :rule quant-miniscope-and :args ((= (forall @t315 (and @t1014 @t1005 @t998 @t993 @t988 @t980 @t978 @t972 @t966 @t956 @t951 @t946 @t938 @t924 @t913 @t907 @t896 @t884 @t878 @t875)) @t1016))) % 157.61/158.02 (step @p750 :rule trans :premises (@p749 @p748)) % 157.61/158.02 (step @p751 :rule trans :premises (@p750 @p727)) % 157.61/158.02 (step @p752 :rule refl :args ((tptp.s @t72 @t138))) % 157.61/158.02 (step @p753 :rule refl :args ((tptp.c_2Eoption_2EOPTION__JOIN_2E1 @t137))) % 157.61/158.02 (step @p754 :rule refl :args ((tptp.s @t87 @t136))) % 157.61/158.02 (step @p755 :rule refl :args ((tptp.c_2Eoption_2ESOME_2E1 @t135))) % 157.61/158.02 (step @p756 :rule refl :args ((tptp.s @t72 @t134))) % 157.61/158.02 (step @p757 :rule refl :args (@t134)) % 157.61/158.02 (step @p758 :rule cong :premises (@p172 @p757) :args (@t869)) % 157.61/158.02 (step @p759 :rule trans :premises (@p758 @p756)) % 157.61/158.02 (step @p760 :rule cong :premises (@p759) :args (@t870)) % 157.61/158.02 (step @p761 :rule trans :premises (@p760 @p755)) % 157.61/158.02 (step @p762 :rule refl :args ((tptp.tyop_2Eoption_2Eoption @t72))) % 157.61/158.02 (step @p763 :rule cong :premises (@p172) :args (@t871)) % 157.61/158.02 (step @p764 :rule trans :premises (@p763 @p762)) % 157.61/158.02 (step @p765 :rule cong :premises (@p764 @p761) :args (@t872)) % 157.61/158.02 (step @p766 :rule trans :premises (@p765 @p754)) % 157.61/158.02 (step @p767 :rule cong :premises (@p766) :args (@t873)) % 157.61/158.02 (step @p768 :rule trans :premises (@p767 @p753)) % 157.61/158.02 (step @p769 :rule cong :premises (@p172 @p768) :args (@t874)) % 157.61/158.02 (step @p770 :rule trans :premises (@p769 @p752)) % 157.61/158.02 (step @p771 :rule ho_cong :premises (@p175 @p768)) % 157.61/158.02 (step @p772 :rule cong :premises (@p771 @p770) :args ((= (_ @t468 @t873) @t874))) % 157.61/158.02 (step @p773 :rule symm :premises (@p772)) % 157.61/158.02 (step @p774 :rule refl :args (@t139)) % 157.61/158.02 (step @p775 :rule eq_resolve :premises (@p774 @p773)) % 157.61/158.02 (step @p776 :rule ho_cong :premises (@p567 @p766)) % 157.61/158.02 (step @p777 :rule cong :premises (@p776 @p768) :args ((= (_ tptp.c_2Eoption_2EOPTION__JOIN_2E1 @t872) @t873))) % 157.61/158.02 (step @p778 :rule symm :premises (@p777)) % 157.61/158.02 (step @p779 :rule refl :args (@t138)) % 157.61/158.02 (step @p780 :rule eq_resolve :premises (@p779 @p778)) % 157.61/158.02 (step @p781 :rule ho_cong :premises (@p144 @p764)) % 157.61/158.02 (step @p782 :rule ho_cong :premises (@p781 @p761)) % 157.61/158.02 (step @p783 :rule cong :premises (@p782 @p766) :args ((= (_ (_ tptp.s @t871) @t870) @t872))) % 157.61/158.02 (step @p784 :rule symm :premises (@p783)) % 157.61/158.02 (step @p785 :rule refl :args (@t137)) % 157.61/158.02 (step @p786 :rule eq_resolve :premises (@p785 @p784)) % 157.61/158.02 (step @p787 :rule ho_cong :premises (@p347 @p759)) % 157.61/158.02 (step @p788 :rule cong :premises (@p787 @p761) :args ((= (_ tptp.c_2Eoption_2ESOME_2E1 @t869) @t870))) % 157.61/158.02 (step @p789 :rule symm :premises (@p788)) % 157.61/158.02 (step @p790 :rule refl :args (@t136)) % 157.61/158.02 (step @p791 :rule eq_resolve :premises (@p790 @p789)) % 157.61/158.02 (step @p792 :rule ho_cong :premises (@p175 @p757)) % 157.61/158.02 (step @p793 :rule cong :premises (@p792 @p759) :args ((= (_ @t468 @t134) @t869))) % 157.61/158.02 (step @p794 :rule symm :premises (@p793)) % 157.61/158.02 (step @p795 :rule refl :args (@t135)) % 157.61/158.02 (step @p796 :rule eq_resolve :premises (@p795 @p794)) % 157.61/158.02 (step @p797 :rule ho_cong :premises (@p185 @p757)) % 157.61/158.02 (step @p798 :rule trans :premises (@p797 @p796)) % 157.61/158.02 (step @p799 :rule ho_cong :premises (@p347 @p798)) % 157.61/158.02 (step @p800 :rule trans :premises (@p799 @p791)) % 157.61/158.02 (step @p801 :rule ho_cong :premises (@p579 @p172)) % 157.61/158.02 (step @p802 :rule cong :premises (@p801 @p764) :args ((= (_ tptp.tyop_2Eoption_2Eoption @t457) @t871))) % 157.61/158.02 (step @p803 :rule symm :premises (@p802)) % 157.61/158.02 (step @p804 :rule refl :args (@t87)) % 157.61/158.02 (step @p805 :rule eq_resolve :premises (@p804 @p803)) % 157.61/158.02 (step @p806 :rule ho_cong :premises (@p579 @p184)) % 157.61/158.02 (step @p807 :rule trans :premises (@p806 @p805)) % 157.61/158.02 (step @p808 :rule ho_cong :premises (@p144 @p807)) % 157.61/158.02 (step @p809 :rule ho_cong :premises (@p808 @p800)) % 157.61/158.02 (step @p810 :rule trans :premises (@p809 @p786)) % 157.61/158.02 (step @p811 :rule ho_cong :premises (@p567 @p810)) % 157.61/158.02 (step @p812 :rule trans :premises (@p811 @p780)) % 157.61/158.02 (step @p813 :rule ho_cong :premises (@p185 @p812)) % 157.61/158.02 (step @p814 :rule trans :premises (@p813 @p775)) % 157.61/158.02 (step @p815 :rule cong :premises (@p798 @p814) :args (@t1017)) % 157.61/158.02 (step @p816 :rule cong :premises (@p815) :args ((forall @t140 @t1017))) % 157.61/158.02 (step @p817 :rule eq-symm :args (@t139 @t135)) % 157.61/158.02 (step @p818 :rule cong :premises (@p817) :args (@t141)) % 157.61/158.02 (step @p819 :rule trans :premises (@p818 @p816)) % 157.61/158.02 (step @p820 :rule eq-symm :args (@t143 @t142)) % 157.61/158.02 (step @p821 :rule refl :args ((tptp.s @t92 @t147))) % 157.61/158.02 (step @p822 :rule refl :args ((tptp.c_2Eoption_2EOPTION__MAP_2E2 @t146 @t142))) % 157.61/158.02 (step @p823 :rule refl :args ((tptp.s @t5 @t145))) % 157.61/158.02 (step @p824 :rule refl :args (@t145)) % 157.61/158.02 (step @p825 :rule refl :args (@t880)) % 157.61/158.02 (step @p826 :rule cong :premises (@p825 @p824) :args (@t881)) % 157.61/158.02 (step @p827 :rule trans :premises (@p826 @p823)) % 157.61/158.02 (step @p828 :rule cong :premises (@p827 @p190) :args (@t882)) % 157.61/158.02 (step @p829 :rule trans :premises (@p828 @p822)) % 157.61/158.02 (step @p830 :rule cong :premises (@p141 @p829) :args (@t883)) % 157.61/158.02 (step @p831 :rule trans :premises (@p830 @p821)) % 157.61/158.02 (step @p832 :rule ho_cong :premises (@p145 @p829)) % 157.61/158.02 (step @p833 :rule cong :premises (@p832 @p831) :args ((= (_ @t466 @t882) @t883))) % 157.61/158.02 (step @p834 :rule symm :premises (@p833)) % 157.61/158.02 (step @p835 :rule refl :args (@t148)) % 157.61/158.02 (step @p836 :rule eq_resolve :premises (@p835 @p834)) % 157.61/158.02 (step @p837 :rule refl :args (tptp.c_2Eoption_2EOPTION__MAP_2E2)) % 157.61/158.02 (step @p838 :rule ho_cong :premises (@p837 @p827)) % 157.61/158.02 (step @p839 :rule ho_cong :premises (@p838 @p190)) % 157.61/158.02 (step @p840 :rule cong :premises (@p839 @p829) :args ((= (_ (_ tptp.c_2Eoption_2EOPTION__MAP_2E2 @t881) @t462) @t882))) % 157.61/158.02 (step @p841 :rule symm :premises (@p840)) % 157.61/158.02 (step @p842 :rule refl :args (@t147)) % 157.61/158.02 (step @p843 :rule eq_resolve :premises (@p842 @p841)) % 157.61/158.02 (step @p844 :rule ho_cong :premises (@p144 @p825)) % 157.61/158.02 (step @p845 :rule ho_cong :premises (@p844 @p824)) % 157.61/158.02 (step @p846 :rule cong :premises (@p845 @p827) :args ((= (_ @t1018 @t145) @t881))) % 157.61/158.02 (step @p847 :rule symm :premises (@p846)) % 157.61/158.02 (step @p848 :rule refl :args (@t146)) % 157.61/158.02 (step @p849 :rule eq_resolve :premises (@p848 @p847)) % 157.61/158.02 (step @p850 :rule refl :args (@t5)) % 157.61/158.02 (step @p851 :rule cong :premises (@p850 @p825) :args ((= @t5 @t880))) % 157.61/158.02 (step @p852 :rule symm :premises (@p851)) % 157.61/158.02 (step @p853 :rule eq_resolve :premises (@p850 @p852)) % 157.61/158.02 (step @p854 :rule ho_cong :premises (@p144 @p853)) % 157.61/158.02 (step @p855 :rule ho_cong :premises (@p854 @p824)) % 157.61/158.02 (step @p856 :rule trans :premises (@p855 @p849)) % 157.61/158.02 (step @p857 :rule ho_cong :premises (@p837 @p856)) % 157.61/158.02 (step @p858 :rule ho_cong :premises (@p857 @p197)) % 157.61/158.02 (step @p859 :rule trans :premises (@p858 @p843)) % 157.61/158.02 (step @p860 :rule ho_cong :premises (@p155 @p859)) % 157.61/158.02 (step @p861 :rule trans :premises (@p860 @p836)) % 157.61/158.02 (step @p862 :rule cong :premises (@p861 @p168) :args (@t149)) % 157.61/158.02 (step @p863 :rule cong :premises (@p862) :args (@t151)) % 157.61/158.02 (step @p864 :rule refl :args ((tptp.s @t92 @t158))) % 157.61/158.02 (step @p865 :rule refl :args ((tptp.c_2Eoption_2ESOME_2E1 @t157))) % 157.61/158.02 (step @p866 :rule refl :args ((tptp.s @t2 @t156))) % 157.61/158.02 (step @p867 :rule refl :args ((tptp.app_2E2 @t155 @t153))) % 157.61/158.02 (step @p868 :rule refl :args (@t886)) % 157.61/158.02 (step @p869 :rule refl :args ((tptp.s @t5 @t154))) % 157.61/158.02 (step @p870 :rule refl :args (@t154)) % 157.61/158.02 (step @p871 :rule cong :premises (@p825 @p870) :args (@t887)) % 157.61/158.02 (step @p872 :rule trans :premises (@p871 @p869)) % 157.61/158.02 (step @p873 :rule cong :premises (@p872 @p868) :args (@t888)) % 157.61/158.02 (step @p874 :rule trans :premises (@p873 @p867)) % 157.61/158.02 (step @p875 :rule refl :args (@t2)) % 157.61/158.02 (step @p876 :rule cong :premises (@p875 @p874) :args (@t889)) % 157.61/158.02 (step @p877 :rule trans :premises (@p876 @p866)) % 157.61/158.02 (step @p878 :rule cong :premises (@p877) :args (@t890)) % 157.61/158.02 (step @p879 :rule trans :premises (@p878 @p865)) % 157.61/158.02 (step @p880 :rule cong :premises (@p141 @p879) :args (@t891)) % 157.61/158.02 (step @p881 :rule trans :premises (@p880 @p864)) % 157.61/158.02 (step @p882 :rule ho_cong :premises (@p145 @p879)) % 157.61/158.02 (step @p883 :rule cong :premises (@p882 @p881) :args ((= (_ @t466 @t890) @t891))) % 157.61/158.02 (step @p884 :rule symm :premises (@p883)) % 157.61/158.02 (step @p885 :rule refl :args (@t159)) % 157.61/158.02 (step @p886 :rule eq_resolve :premises (@p885 @p884)) % 157.61/158.02 (step @p887 :rule ho_cong :premises (@p347 @p877)) % 157.61/158.02 (step @p888 :rule cong :premises (@p887 @p879) :args ((= (_ tptp.c_2Eoption_2ESOME_2E1 @t889) @t890))) % 157.61/158.02 (step @p889 :rule symm :premises (@p888)) % 157.61/158.02 (step @p890 :rule refl :args (@t158)) % 157.61/158.02 (step @p891 :rule eq_resolve :premises (@p890 @p889)) % 157.61/158.02 (step @p892 :rule refl :args (@t13)) % 157.61/158.02 (step @p893 :rule ho_cong :premises (@p892 @p874)) % 157.61/158.02 (step @p894 :rule cong :premises (@p893 @p877) :args ((= (_ @t13 @t888) @t889))) % 157.61/158.02 (step @p895 :rule symm :premises (@p894)) % 157.61/158.02 (step @p896 :rule refl :args (@t157)) % 157.61/158.02 (step @p897 :rule eq_resolve :premises (@p896 @p895)) % 157.61/158.02 (step @p898 :rule ho_cong :premises (@p295 @p872)) % 157.61/158.02 (step @p899 :rule ho_cong :premises (@p898 @p868)) % 157.61/158.02 (step @p900 :rule cong :premises (@p899 @p874) :args ((= (_ (_ tptp.app_2E2 @t887) @t886) @t888))) % 157.61/158.02 (step @p901 :rule symm :premises (@p900)) % 157.61/158.02 (step @p902 :rule refl :args (@t156)) % 157.61/158.02 (step @p903 :rule eq_resolve :premises (@p902 @p901)) % 157.61/158.02 (step @p904 :rule refl :args (@t153)) % 157.61/158.02 (step @p905 :rule cong :premises (@p904 @p868) :args ((= @t153 @t886))) % 157.61/158.02 (step @p906 :rule symm :premises (@p905)) % 157.61/158.02 (step @p907 :rule eq_resolve :premises (@p904 @p906)) % 157.61/158.02 (step @p908 :rule ho_cong :premises (@p844 @p870)) % 157.61/158.02 (step @p909 :rule cong :premises (@p908 @p872) :args ((= (_ @t1018 @t154) @t887))) % 157.61/158.02 (step @p910 :rule symm :premises (@p909)) % 157.61/158.02 (step @p911 :rule refl :args (@t155)) % 157.61/158.02 (step @p912 :rule eq_resolve :premises (@p911 @p910)) % 157.61/158.02 (step @p913 :rule ho_cong :premises (@p854 @p870)) % 157.61/158.02 (step @p914 :rule trans :premises (@p913 @p912)) % 157.61/158.02 (step @p915 :rule ho_cong :premises (@p295 @p914)) % 157.61/158.02 (step @p916 :rule ho_cong :premises (@p915 @p907)) % 157.61/158.02 (step @p917 :rule trans :premises (@p916 @p903)) % 157.61/158.02 (step @p918 :rule ho_cong :premises (@p892 @p917)) % 157.61/158.02 (step @p919 :rule trans :premises (@p918 @p897)) % 157.61/158.02 (step @p920 :rule ho_cong :premises (@p347 @p919)) % 157.61/158.02 (step @p921 :rule trans :premises (@p920 @p891)) % 157.61/158.02 (step @p922 :rule ho_cong :premises (@p155 @p921)) % 157.61/158.02 (step @p923 :rule trans :premises (@p922 @p886)) % 157.61/158.02 (step @p924 :rule refl :args ((tptp.s @t92 @t162))) % 157.61/158.02 (step @p925 :rule refl :args ((tptp.c_2Eoption_2EOPTION__MAP_2E2 @t155 @t161))) % 157.61/158.02 (step @p926 :rule refl :args ((tptp.s @t72 @t160))) % 157.61/158.02 (step @p927 :rule refl :args ((tptp.c_2Eoption_2ESOME_2E1 @t153))) % 157.61/158.02 (step @p928 :rule cong :premises (@p868) :args (@t892)) % 157.61/158.02 (step @p929 :rule trans :premises (@p928 @p927)) % 157.61/158.02 (step @p930 :rule cong :premises (@p172 @p929) :args (@t893)) % 157.61/158.02 (step @p931 :rule trans :premises (@p930 @p926)) % 157.61/158.02 (step @p932 :rule cong :premises (@p872 @p931) :args (@t894)) % 157.61/158.02 (step @p933 :rule trans :premises (@p932 @p925)) % 157.61/158.02 (step @p934 :rule cong :premises (@p141 @p933) :args (@t895)) % 157.61/158.02 (step @p935 :rule trans :premises (@p934 @p924)) % 157.61/158.02 (step @p936 :rule ho_cong :premises (@p145 @p933)) % 157.61/158.02 (step @p937 :rule cong :premises (@p936 @p935) :args ((= (_ @t466 @t894) @t895))) % 157.61/158.02 (step @p938 :rule symm :premises (@p937)) % 157.61/158.02 (step @p939 :rule refl :args (@t163)) % 157.61/158.02 (step @p940 :rule eq_resolve :premises (@p939 @p938)) % 157.61/158.02 (step @p941 :rule ho_cong :premises (@p837 @p872)) % 157.61/158.02 (step @p942 :rule ho_cong :premises (@p941 @p931)) % 157.61/158.02 (step @p943 :rule cong :premises (@p942 @p933) :args ((= (_ (_ tptp.c_2Eoption_2EOPTION__MAP_2E2 @t887) @t893) @t894))) % 157.61/158.02 (step @p944 :rule symm :premises (@p943)) % 157.61/158.02 (step @p945 :rule refl :args (@t162)) % 157.61/158.02 (step @p946 :rule eq_resolve :premises (@p945 @p944)) % 157.61/158.02 (step @p947 :rule ho_cong :premises (@p175 @p929)) % 157.61/158.02 (step @p948 :rule cong :premises (@p947 @p931) :args ((= (_ @t468 @t892) @t893))) % 157.61/158.02 (step @p949 :rule symm :premises (@p948)) % 157.61/158.02 (step @p950 :rule refl :args (@t161)) % 157.61/158.02 (step @p951 :rule eq_resolve :premises (@p950 @p949)) % 157.61/158.02 (step @p952 :rule ho_cong :premises (@p347 @p868)) % 157.61/158.02 (step @p953 :rule cong :premises (@p952 @p929) :args ((= (_ tptp.c_2Eoption_2ESOME_2E1 @t886) @t892))) % 157.61/158.02 (step @p954 :rule symm :premises (@p953)) % 157.61/158.02 (step @p955 :rule refl :args (@t160)) % 157.61/158.02 (step @p956 :rule eq_resolve :premises (@p955 @p954)) % 157.61/158.02 (step @p957 :rule ho_cong :premises (@p347 @p907)) % 157.61/158.02 (step @p958 :rule trans :premises (@p957 @p956)) % 157.61/158.02 (step @p959 :rule ho_cong :premises (@p185 @p958)) % 157.61/158.02 (step @p960 :rule trans :premises (@p959 @p951)) % 157.61/158.02 (step @p961 :rule ho_cong :premises (@p837 @p914)) % 157.61/158.02 (step @p962 :rule ho_cong :premises (@p961 @p960)) % 157.61/158.02 (step @p963 :rule trans :premises (@p962 @p946)) % 157.61/158.02 (step @p964 :rule ho_cong :premises (@p155 @p963)) % 157.61/158.02 (step @p965 :rule trans :premises (@p964 @p940)) % 157.61/158.02 (step @p966 :rule cong :premises (@p965 @p923) :args (@t164)) % 157.61/158.02 (step @p967 :rule cong :premises (@p966) :args (@t166)) % 157.61/158.02 (step @p968 :rule refl :args ((tptp.s @t2 @t171))) % 157.61/158.02 (step @p969 :rule refl :args ((tptp.app_2E2 @t170 @t168))) % 157.61/158.02 (step @p970 :rule refl :args (@t898)) % 157.61/158.02 (step @p971 :rule refl :args ((tptp.s @t5 @t169))) % 157.61/158.02 (step @p972 :rule refl :args (@t169)) % 157.61/158.02 (step @p973 :rule cong :premises (@p825 @p972) :args (@t899)) % 157.61/158.02 (step @p974 :rule trans :premises (@p973 @p971)) % 157.61/158.02 (step @p975 :rule cong :premises (@p974 @p970) :args (@t900)) % 157.61/158.02 (step @p976 :rule trans :premises (@p975 @p969)) % 157.61/158.02 (step @p977 :rule cong :premises (@p875 @p976) :args (@t901)) % 157.61/158.02 (step @p978 :rule trans :premises (@p977 @p968)) % 157.61/158.02 (step @p979 :rule ho_cong :premises (@p892 @p976)) % 157.61/158.02 (step @p980 :rule cong :premises (@p979 @p978) :args ((= (_ @t13 @t900) @t901))) % 157.61/158.02 (step @p981 :rule symm :premises (@p980)) % 157.61/158.02 (step @p982 :rule refl :args (@t172)) % 157.61/158.02 (step @p983 :rule eq_resolve :premises (@p982 @p981)) % 157.61/158.02 (step @p984 :rule ho_cong :premises (@p295 @p974)) % 157.61/158.02 (step @p985 :rule ho_cong :premises (@p984 @p970)) % 157.61/158.02 (step @p986 :rule cong :premises (@p985 @p976) :args ((= (_ (_ tptp.app_2E2 @t899) @t898) @t900))) % 157.61/158.02 (step @p987 :rule symm :premises (@p986)) % 157.61/158.02 (step @p988 :rule refl :args (@t171)) % 157.61/158.02 (step @p989 :rule eq_resolve :premises (@p988 @p987)) % 157.61/158.02 (step @p990 :rule refl :args (@t168)) % 157.61/158.02 (step @p991 :rule cong :premises (@p990 @p970) :args ((= @t168 @t898))) % 157.61/158.02 (step @p992 :rule symm :premises (@p991)) % 157.61/158.02 (step @p993 :rule eq_resolve :premises (@p990 @p992)) % 157.61/158.02 (step @p994 :rule ho_cong :premises (@p844 @p972)) % 157.61/158.02 (step @p995 :rule cong :premises (@p994 @p974) :args ((= (_ @t1018 @t169) @t899))) % 157.61/158.02 (step @p996 :rule symm :premises (@p995)) % 157.61/158.02 (step @p997 :rule refl :args (@t170)) % 157.61/158.02 (step @p998 :rule eq_resolve :premises (@p997 @p996)) % 157.61/158.02 (step @p999 :rule ho_cong :premises (@p854 @p972)) % 157.61/158.02 (step @p1000 :rule trans :premises (@p999 @p998)) % 157.61/158.02 (step @p1001 :rule ho_cong :premises (@p295 @p1000)) % 157.61/158.02 (step @p1002 :rule ho_cong :premises (@p1001 @p993)) % 157.61/158.02 (step @p1003 :rule trans :premises (@p1002 @p989)) % 157.61/158.02 (step @p1004 :rule ho_cong :premises (@p892 @p1003)) % 157.61/158.02 (step @p1005 :rule trans :premises (@p1004 @p983)) % 157.61/158.02 (step @p1006 :rule refl :args ((tptp.s @t2 @t177))) % 157.61/158.02 (step @p1007 :rule refl :args ((tptp.c_2Eoption_2Eoption__CASE_2E3 @t176 @t174 @t170))) % 157.61/158.02 (step @p1008 :rule refl :args (@t902)) % 157.61/158.02 (step @p1009 :rule refl :args ((tptp.s @t72 @t175))) % 157.61/158.02 (step @p1010 :rule refl :args ((tptp.c_2Eoption_2ESOME_2E1 @t168))) % 157.61/158.02 (step @p1011 :rule cong :premises (@p970) :args (@t903)) % 157.61/158.02 (step @p1012 :rule trans :premises (@p1011 @p1010)) % 157.61/158.02 (step @p1013 :rule cong :premises (@p172 @p1012) :args (@t904)) % 157.61/158.02 (step @p1014 :rule trans :premises (@p1013 @p1009)) % 157.61/158.02 (step @p1015 :rule cong :premises (@p1014 @p1008 @p974) :args (@t905)) % 157.61/158.02 (step @p1016 :rule trans :premises (@p1015 @p1007)) % 157.61/158.02 (step @p1017 :rule cong :premises (@p875 @p1016) :args (@t906)) % 157.61/158.02 (step @p1018 :rule trans :premises (@p1017 @p1006)) % 157.61/158.02 (step @p1019 :rule ho_cong :premises (@p892 @p1016)) % 157.61/158.02 (step @p1020 :rule cong :premises (@p1019 @p1018) :args ((= (_ @t13 @t905) @t906))) % 157.61/158.02 (step @p1021 :rule symm :premises (@p1020)) % 157.61/158.02 (step @p1022 :rule refl :args (@t178)) % 157.61/158.02 (step @p1023 :rule eq_resolve :premises (@p1022 @p1021)) % 157.61/158.02 (step @p1024 :rule refl :args (tptp.c_2Eoption_2Eoption__CASE_2E3)) % 157.61/158.02 (step @p1025 :rule ho_cong :premises (@p1024 @p1014)) % 157.61/158.02 (step @p1026 :rule ho_cong :premises (@p1025 @p1008)) % 157.61/158.02 (step @p1027 :rule ho_cong :premises (@p1026 @p974)) % 157.61/158.02 (step @p1028 :rule cong :premises (@p1027 @p1016) :args ((= (_ (_ (_ tptp.c_2Eoption_2Eoption__CASE_2E3 @t904) @t902) @t899) @t905))) % 157.61/158.02 (step @p1029 :rule symm :premises (@p1028)) % 157.61/158.02 (step @p1030 :rule refl :args (@t177)) % 157.61/158.02 (step @p1031 :rule eq_resolve :premises (@p1030 @p1029)) % 157.61/158.02 (step @p1032 :rule refl :args (@t174)) % 157.61/158.02 (step @p1033 :rule cong :premises (@p1032 @p1008) :args ((= @t174 @t902))) % 157.61/158.02 (step @p1034 :rule symm :premises (@p1033)) % 157.61/158.02 (step @p1035 :rule eq_resolve :premises (@p1032 @p1034)) % 157.61/158.02 (step @p1036 :rule ho_cong :premises (@p175 @p1012)) % 157.61/158.02 (step @p1037 :rule cong :premises (@p1036 @p1014) :args ((= (_ @t468 @t903) @t904))) % 157.61/158.02 (step @p1038 :rule symm :premises (@p1037)) % 157.61/158.02 (step @p1039 :rule refl :args (@t176)) % 157.61/158.02 (step @p1040 :rule eq_resolve :premises (@p1039 @p1038)) % 157.61/158.02 (step @p1041 :rule ho_cong :premises (@p347 @p970)) % 157.61/158.02 (step @p1042 :rule cong :premises (@p1041 @p1012) :args ((= (_ tptp.c_2Eoption_2ESOME_2E1 @t898) @t903))) % 157.61/158.02 (step @p1043 :rule symm :premises (@p1042)) % 157.61/158.02 (step @p1044 :rule refl :args (@t175)) % 157.61/158.02 (step @p1045 :rule eq_resolve :premises (@p1044 @p1043)) % 157.61/158.02 (step @p1046 :rule ho_cong :premises (@p347 @p993)) % 157.61/158.02 (step @p1047 :rule trans :premises (@p1046 @p1045)) % 157.61/158.02 (step @p1048 :rule ho_cong :premises (@p185 @p1047)) % 157.61/158.02 (step @p1049 :rule trans :premises (@p1048 @p1040)) % 157.61/158.02 (step @p1050 :rule ho_cong :premises (@p1024 @p1049)) % 157.61/158.02 (step @p1051 :rule ho_cong :premises (@p1050 @p1035)) % 157.61/158.02 (step @p1052 :rule ho_cong :premises (@p1051 @p1000)) % 157.61/158.02 (step @p1053 :rule trans :premises (@p1052 @p1031)) % 157.61/158.02 (step @p1054 :rule ho_cong :premises (@p892 @p1053)) % 157.61/158.02 (step @p1055 :rule trans :premises (@p1054 @p1023)) % 157.61/158.02 (step @p1056 :rule cong :premises (@p1055 @p1005) :args (@t179)) % 157.61/158.02 (step @p1057 :rule cong :premises (@p1056) :args (@t181)) % 157.61/158.02 (step @p1058 :rule refl :args ((tptp.s @t2 @t186))) % 157.61/158.02 (step @p1059 :rule refl :args ((tptp.c_2Eoption_2Eoption__CASE_2E3 @t142 @t183 @t185))) % 157.61/158.02 (step @p1060 :rule refl :args ((tptp.s @t5 @t184))) % 157.61/158.02 (step @p1061 :rule refl :args (@t184)) % 157.61/158.02 (step @p1062 :rule cong :premises (@p825 @p1061) :args (@t909)) % 157.61/158.02 (step @p1063 :rule trans :premises (@p1062 @p1060)) % 157.61/158.02 (step @p1064 :rule refl :args (@t910)) % 157.61/158.02 (step @p1065 :rule cong :premises (@p190 @p1064 @p1063) :args (@t911)) % 157.61/158.02 (step @p1066 :rule trans :premises (@p1065 @p1059)) % 157.61/158.02 (step @p1067 :rule cong :premises (@p875 @p1066) :args (@t912)) % 157.61/158.02 (step @p1068 :rule trans :premises (@p1067 @p1058)) % 157.61/158.02 (step @p1069 :rule ho_cong :premises (@p892 @p1066)) % 157.61/158.02 (step @p1070 :rule cong :premises (@p1069 @p1068) :args ((= (_ @t13 @t911) @t912))) % 157.61/158.02 (step @p1071 :rule symm :premises (@p1070)) % 157.61/158.02 (step @p1072 :rule refl :args (@t187)) % 157.61/158.02 (step @p1073 :rule eq_resolve :premises (@p1072 @p1071)) % 157.61/158.02 (step @p1074 :rule ho_cong :premises (@p1024 @p190)) % 157.61/158.02 (step @p1075 :rule ho_cong :premises (@p1074 @p1064)) % 157.61/158.02 (step @p1076 :rule ho_cong :premises (@p1075 @p1063)) % 157.61/158.02 (step @p1077 :rule cong :premises (@p1076 @p1066) :args ((= (_ (_ (_ tptp.c_2Eoption_2Eoption__CASE_2E3 @t462) @t910) @t909) @t911))) % 157.61/158.02 (step @p1078 :rule symm :premises (@p1077)) % 157.61/158.02 (step @p1079 :rule refl :args (@t186)) % 157.61/158.02 (step @p1080 :rule eq_resolve :premises (@p1079 @p1078)) % 157.61/158.02 (step @p1081 :rule ho_cong :premises (@p844 @p1061)) % 157.61/158.02 (step @p1082 :rule cong :premises (@p1081 @p1063) :args ((= (_ @t1018 @t184) @t909))) % 157.61/158.02 (step @p1083 :rule symm :premises (@p1082)) % 157.61/158.02 (step @p1084 :rule refl :args (@t185)) % 157.61/158.02 (step @p1085 :rule eq_resolve :premises (@p1084 @p1083)) % 157.61/158.02 (step @p1086 :rule ho_cong :premises (@p854 @p1061)) % 157.61/158.02 (step @p1087 :rule trans :premises (@p1086 @p1085)) % 157.61/158.02 (step @p1088 :rule refl :args (@t183)) % 157.61/158.02 (step @p1089 :rule cong :premises (@p1088 @p1064) :args ((= @t183 @t910))) % 157.61/158.02 (step @p1090 :rule symm :premises (@p1089)) % 157.61/158.02 (step @p1091 :rule eq_resolve :premises (@p1088 @p1090)) % 157.61/158.02 (step @p1092 :rule ho_cong :premises (@p1024 @p197)) % 157.61/158.02 (step @p1093 :rule ho_cong :premises (@p1092 @p1091)) % 157.61/158.02 (step @p1094 :rule ho_cong :premises (@p1093 @p1087)) % 157.61/158.02 (step @p1095 :rule trans :premises (@p1094 @p1080)) % 157.61/158.02 (step @p1096 :rule ho_cong :premises (@p892 @p1095)) % 157.61/158.02 (step @p1097 :rule trans :premises (@p1096 @p1073)) % 157.61/158.02 (step @p1098 :rule cong :premises (@p1091 @p1097) :args (@t1019)) % 157.61/158.02 (step @p1099 :rule cong :premises (@p1098) :args ((forall @t188 @t1019))) % 157.61/158.02 (step @p1100 :rule eq-symm :args (@t187 @t183)) % 157.61/158.02 (step @p1101 :rule cong :premises (@p1100) :args (@t189)) % 157.61/158.02 (step @p1102 :rule trans :premises (@p1101 @p1099)) % 157.61/158.02 (step @p1103 :rule refl :args ((tptp.s @t72 @t194))) % 157.61/158.02 (step @p1104 :rule refl :args ((tptp.c_2Eoption_2Eoption__CASE_2E3 @t191 @t193 @t110))) % 157.61/158.02 (step @p1105 :rule refl :args ((tptp.s @t108 tptp.c_2Eoption_2ESOME_2E0))) % 157.61/158.02 (step @p1106 :rule refl :args (tptp.c_2Eoption_2ESOME_2E0)) % 157.61/158.02 (step @p1107 :rule refl :args ((tptp.tyop_2Emin_2Efun @t3 @t72))) % 157.61/158.02 (step @p1108 :rule cong :premises (@p208 @p172) :args (@t915)) % 157.61/158.02 (step @p1109 :rule trans :premises (@p1108 @p1107)) % 157.61/158.02 (step @p1110 :rule cong :premises (@p1109 @p1106) :args (@t916)) % 157.61/158.02 (step @p1111 :rule trans :premises (@p1110 @p1105)) % 157.61/158.02 (step @p1112 :rule refl :args ((tptp.s @t72 @t192))) % 157.61/158.02 (step @p1113 :rule refl :args (@t192)) % 157.61/158.02 (step @p1114 :rule cong :premises (@p172 @p1113) :args (@t917)) % 157.61/158.02 (step @p1115 :rule trans :premises (@p1114 @p1112)) % 157.61/158.02 (step @p1116 :rule refl :args ((tptp.s @t72 @t190))) % 157.61/158.02 (step @p1117 :rule refl :args (@t190)) % 157.61/158.02 (step @p1118 :rule cong :premises (@p172 @p1117) :args (@t918)) % 157.61/158.02 (step @p1119 :rule trans :premises (@p1118 @p1116)) % 157.61/158.02 (step @p1120 :rule cong :premises (@p1119 @p1115 @p1111) :args (@t919)) % 157.61/158.02 (step @p1121 :rule trans :premises (@p1120 @p1104)) % 157.61/158.02 (step @p1122 :rule cong :premises (@p172 @p1121) :args (@t920)) % 157.61/158.02 (step @p1123 :rule trans :premises (@p1122 @p1103)) % 157.61/158.02 (step @p1124 :rule ho_cong :premises (@p175 @p1121)) % 157.61/158.02 (step @p1125 :rule cong :premises (@p1124 @p1123) :args ((= (_ @t468 @t919) @t920))) % 157.61/158.02 (step @p1126 :rule symm :premises (@p1125)) % 157.61/158.02 (step @p1127 :rule refl :args (@t195)) % 157.61/158.02 (step @p1128 :rule eq_resolve :premises (@p1127 @p1126)) % 157.61/158.02 (step @p1129 :rule ho_cong :premises (@p1024 @p1119)) % 157.61/158.02 (step @p1130 :rule ho_cong :premises (@p1129 @p1115)) % 157.61/158.02 (step @p1131 :rule ho_cong :premises (@p1130 @p1111)) % 157.61/158.02 (step @p1132 :rule cong :premises (@p1131 @p1121) :args ((= (_ (_ (_ tptp.c_2Eoption_2Eoption__CASE_2E3 @t918) @t917) @t916) @t919))) % 157.61/158.02 (step @p1133 :rule symm :premises (@p1132)) % 157.61/158.02 (step @p1134 :rule refl :args (@t194)) % 157.61/158.02 (step @p1135 :rule eq_resolve :premises (@p1134 @p1133)) % 157.61/158.02 (step @p1136 :rule ho_cong :premises (@p144 @p1109)) % 157.61/158.02 (step @p1137 :rule ho_cong :premises (@p1136 @p1106)) % 157.61/158.02 (step @p1138 :rule cong :premises (@p1137 @p1111) :args ((= (_ (_ tptp.s @t915) tptp.c_2Eoption_2ESOME_2E0) @t916))) % 157.61/158.02 (step @p1139 :rule symm :premises (@p1138)) % 157.61/158.02 (step @p1140 :rule refl :args (@t110)) % 157.61/158.02 (step @p1141 :rule eq_resolve :premises (@p1140 @p1139)) % 157.61/158.02 (step @p1142 :rule ho_cong :premises (@p243 @p172)) % 157.61/158.02 (step @p1143 :rule cong :premises (@p1142 @p1109) :args ((= (_ @t4 @t457) @t915))) % 157.61/158.02 (step @p1144 :rule symm :premises (@p1143)) % 157.61/158.02 (step @p1145 :rule refl :args (@t108)) % 157.61/158.02 (step @p1146 :rule eq_resolve :premises (@p1145 @p1144)) % 157.61/158.02 (step @p1147 :rule ho_cong :premises (@p243 @p184)) % 157.61/158.02 (step @p1148 :rule trans :premises (@p1147 @p1146)) % 157.61/158.02 (step @p1149 :rule ho_cong :premises (@p144 @p1148)) % 157.61/158.02 (step @p1150 :rule ho_cong :premises (@p1149 @p1106)) % 157.61/158.02 (step @p1151 :rule trans :premises (@p1150 @p1141)) % 157.61/158.02 (step @p1152 :rule ho_cong :premises (@p175 @p1113)) % 157.61/158.02 (step @p1153 :rule cong :premises (@p1152 @p1115) :args ((= (_ @t468 @t192) @t917))) % 157.61/158.02 (step @p1154 :rule symm :premises (@p1153)) % 157.61/158.02 (step @p1155 :rule refl :args (@t193)) % 157.61/158.02 (step @p1156 :rule eq_resolve :premises (@p1155 @p1154)) % 157.61/158.02 (step @p1157 :rule ho_cong :premises (@p185 @p1113)) % 157.61/158.02 (step @p1158 :rule trans :premises (@p1157 @p1156)) % 157.61/158.02 (step @p1159 :rule ho_cong :premises (@p175 @p1117)) % 157.61/158.02 (step @p1160 :rule cong :premises (@p1159 @p1119) :args ((= (_ @t468 @t190) @t918))) % 157.61/158.02 (step @p1161 :rule symm :premises (@p1160)) % 157.61/158.02 (step @p1162 :rule refl :args (@t191)) % 157.61/158.02 (step @p1163 :rule eq_resolve :premises (@p1162 @p1161)) % 157.61/158.02 (step @p1164 :rule ho_cong :premises (@p185 @p1117)) % 157.61/158.02 (step @p1165 :rule trans :premises (@p1164 @p1163)) % 157.61/158.02 (step @p1166 :rule ho_cong :premises (@p1024 @p1165)) % 157.61/158.02 (step @p1167 :rule ho_cong :premises (@p1166 @p1158)) % 157.61/158.02 (step @p1168 :rule ho_cong :premises (@p1167 @p1151)) % 157.61/158.02 (step @p1169 :rule trans :premises (@p1168 @p1135)) % 157.61/158.02 (step @p1170 :rule ho_cong :premises (@p185 @p1169)) % 157.61/158.02 (step @p1171 :rule trans :premises (@p1170 @p1128)) % 157.61/158.02 (step @p1172 :rule cong :premises (@p1165 @p1171) :args (@t1020)) % 157.61/158.02 (step @p1173 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t197))) % 157.61/158.02 (step @p1174 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t196))) % 157.61/158.02 (step @p1175 :rule refl :args ((tptp.c_2Eoption_2EIS__SOME_2E1 @t191))) % 157.61/158.02 (step @p1176 :rule cong :premises (@p1119) :args (@t921)) % 157.61/158.02 (step @p1177 :rule trans :premises (@p1176 @p1175)) % 157.61/158.02 (step @p1178 :rule cong :premises (@p59 @p1177) :args (@t922)) % 157.61/158.02 (step @p1179 :rule trans :premises (@p1178 @p1174)) % 157.61/158.02 (step @p1180 :rule cong :premises (@p1179) :args (@t923)) % 157.61/158.02 (step @p1181 :rule trans :premises (@p1180 @p1173)) % 157.61/158.02 (step @p1182 :rule ho_cong :premises (@p74 @p1179)) % 157.61/158.02 (step @p1183 :rule cong :premises (@p1182 @p1181) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t922) @t923))) % 157.61/158.02 (step @p1184 :rule symm :premises (@p1183)) % 157.61/158.02 (step @p1185 :rule refl :args (@t198)) % 157.61/158.02 (step @p1186 :rule eq_resolve :premises (@p1185 @p1184)) % 157.61/158.02 (step @p1187 :rule ho_cong :premises (@p62 @p1177)) % 157.61/158.02 (step @p1188 :rule cong :premises (@p1187 @p1179) :args ((= (_ @t38 @t921) @t922))) % 157.61/158.02 (step @p1189 :rule symm :premises (@p1188)) % 157.61/158.02 (step @p1190 :rule refl :args (@t197)) % 157.61/158.02 (step @p1191 :rule eq_resolve :premises (@p1190 @p1189)) % 157.61/158.02 (step @p1192 :rule ho_cong :premises (@p682 @p1119)) % 157.61/158.02 (step @p1193 :rule cong :premises (@p1192 @p1177) :args ((= (_ tptp.c_2Eoption_2EIS__SOME_2E1 @t918) @t921))) % 157.61/158.02 (step @p1194 :rule symm :premises (@p1193)) % 157.61/158.02 (step @p1195 :rule refl :args (@t196)) % 157.61/158.02 (step @p1196 :rule eq_resolve :premises (@p1195 @p1194)) % 157.61/158.02 (step @p1197 :rule ho_cong :premises (@p682 @p1165)) % 157.61/158.02 (step @p1198 :rule trans :premises (@p1197 @p1196)) % 157.61/158.02 (step @p1199 :rule ho_cong :premises (@p62 @p1198)) % 157.61/158.02 (step @p1200 :rule trans :premises (@p1199 @p1191)) % 157.61/158.02 (step @p1201 :rule ho_cong :premises (@p74 @p1200)) % 157.61/158.02 (step @p1202 :rule trans :premises (@p1201 @p1186)) % 157.61/158.02 (step @p1203 :rule cong :premises (@p1202) :args (@t1021)) % 157.61/158.02 (step @p1204 :rule nary_cong :premises (@p1203 @p1172) :args (@t1022)) % 157.61/158.02 (step @p1205 :rule cong :premises (@p1204) :args ((forall @t200 @t1022))) % 157.61/158.02 (step @p1206 :rule bool-impl-elim :args (@t198 @t1020)) % 157.61/158.02 (step @p1207 :rule cong :premises (@p1206) :args ((forall @t200 (=> @t198 @t1020)))) % 157.61/158.02 (step @p1208 :rule trans :premises (@p1207 @p1205)) % 157.61/158.02 (step @p1209 :rule eq-symm :args (@t195 @t191)) % 157.61/158.02 (step @p1210 :rule refl :args (@t198)) % 157.61/158.02 (step @p1211 :rule cong :premises (@p1210 @p1209) :args (@t199)) % 157.61/158.02 (step @p1212 :rule cong :premises (@p1211) :args (@t201)) % 157.61/158.02 (step @p1213 :rule trans :premises (@p1212 @p1208)) % 157.61/158.02 (step @p1214 :rule refl :args ((tptp.s @t2 @t206))) % 157.61/158.02 (step @p1215 :rule refl :args ((tptp.app_2E2 @t9 @t205))) % 157.61/158.02 (step @p1216 :rule refl :args ((tptp.s @t3 @t204))) % 157.61/158.02 (step @p1217 :rule refl :args ((tptp.c_2Eoption_2ETHE_2E1 @t203))) % 157.61/158.02 (step @p1218 :rule refl :args ((tptp.s @t72 @t202))) % 157.61/158.02 (step @p1219 :rule refl :args (@t202)) % 157.61/158.02 (step @p1220 :rule cong :premises (@p172 @p1219) :args (@t926)) % 157.61/158.02 (step @p1221 :rule trans :premises (@p1220 @p1218)) % 157.61/158.02 (step @p1222 :rule cong :premises (@p1221) :args (@t927)) % 157.61/158.02 (step @p1223 :rule trans :premises (@p1222 @p1217)) % 157.61/158.02 (step @p1224 :rule cong :premises (@p208 @p1223) :args (@t928)) % 157.61/158.02 (step @p1225 :rule trans :premises (@p1224 @p1216)) % 157.61/158.02 (step @p1226 :rule refl :args ((tptp.s @t5 @t8))) % 157.61/158.02 (step @p1227 :rule refl :args (@t8)) % 157.61/158.02 (step @p1228 :rule cong :premises (@p825 @p1227) :args (@t929)) % 157.61/158.02 (step @p1229 :rule trans :premises (@p1228 @p1226)) % 157.61/158.02 (step @p1230 :rule cong :premises (@p1229 @p1225) :args (@t930)) % 157.61/158.02 (step @p1231 :rule trans :premises (@p1230 @p1215)) % 157.61/158.02 (step @p1232 :rule cong :premises (@p875 @p1231) :args (@t931)) % 157.61/158.02 (step @p1233 :rule trans :premises (@p1232 @p1214)) % 157.61/158.02 (step @p1234 :rule ho_cong :premises (@p892 @p1231)) % 157.61/158.02 (step @p1235 :rule cong :premises (@p1234 @p1233) :args ((= (_ @t13 @t930) @t931))) % 157.61/158.02 (step @p1236 :rule symm :premises (@p1235)) % 157.61/158.02 (step @p1237 :rule refl :args (@t207)) % 157.61/158.02 (step @p1238 :rule eq_resolve :premises (@p1237 @p1236)) % 157.61/158.02 (step @p1239 :rule ho_cong :premises (@p295 @p1229)) % 157.61/158.02 (step @p1240 :rule ho_cong :premises (@p1239 @p1225)) % 157.61/158.02 (step @p1241 :rule cong :premises (@p1240 @p1231) :args ((= (_ (_ tptp.app_2E2 @t929) @t928) @t930))) % 157.61/158.02 (step @p1242 :rule symm :premises (@p1241)) % 157.61/158.02 (step @p1243 :rule refl :args (@t206)) % 157.61/158.02 (step @p1244 :rule eq_resolve :premises (@p1243 @p1242)) % 157.61/158.02 (step @p1245 :rule refl :args (@t11)) % 157.61/158.02 (step @p1246 :rule ho_cong :premises (@p1245 @p1223)) % 157.61/158.02 (step @p1247 :rule cong :premises (@p1246 @p1225) :args ((= (_ @t11 @t927) @t928))) % 157.61/158.02 (step @p1248 :rule symm :premises (@p1247)) % 157.61/158.02 (step @p1249 :rule refl :args (@t205)) % 157.61/158.02 (step @p1250 :rule eq_resolve :premises (@p1249 @p1248)) % 157.61/158.02 (step @p1251 :rule refl :args (tptp.c_2Eoption_2ETHE_2E1)) % 157.61/158.02 (step @p1252 :rule ho_cong :premises (@p1251 @p1221)) % 157.61/158.02 (step @p1253 :rule cong :premises (@p1252 @p1223) :args ((= (_ tptp.c_2Eoption_2ETHE_2E1 @t926) @t927))) % 157.61/158.02 (step @p1254 :rule symm :premises (@p1253)) % 157.61/158.02 (step @p1255 :rule refl :args (@t204)) % 157.61/158.02 (step @p1256 :rule eq_resolve :premises (@p1255 @p1254)) % 157.61/158.02 (step @p1257 :rule ho_cong :premises (@p175 @p1219)) % 157.61/158.02 (step @p1258 :rule cong :premises (@p1257 @p1221) :args ((= (_ @t468 @t202) @t926))) % 157.61/158.02 (step @p1259 :rule symm :premises (@p1258)) % 157.61/158.02 (step @p1260 :rule refl :args (@t203)) % 157.61/158.02 (step @p1261 :rule eq_resolve :premises (@p1260 @p1259)) % 157.61/158.02 (step @p1262 :rule ho_cong :premises (@p185 @p1219)) % 157.61/158.02 (step @p1263 :rule trans :premises (@p1262 @p1261)) % 157.61/158.02 (step @p1264 :rule ho_cong :premises (@p1251 @p1263)) % 157.61/158.02 (step @p1265 :rule trans :premises (@p1264 @p1256)) % 157.61/158.02 (step @p1266 :rule ho_cong :premises (@p1245 @p1265)) % 157.61/158.02 (step @p1267 :rule trans :premises (@p1266 @p1250)) % 157.61/158.02 (step @p1268 :rule ho_cong :premises (@p844 @p1227)) % 157.61/158.02 (step @p1269 :rule cong :premises (@p1268 @p1229) :args ((= (_ @t1018 @t8) @t929))) % 157.61/158.02 (step @p1270 :rule symm :premises (@p1269)) % 157.61/158.02 (step @p1271 :rule refl :args (@t9)) % 157.61/158.02 (step @p1272 :rule eq_resolve :premises (@p1271 @p1270)) % 157.61/158.02 (step @p1273 :rule ho_cong :premises (@p854 @p1227)) % 157.61/158.02 (step @p1274 :rule trans :premises (@p1273 @p1272)) % 157.61/158.02 (step @p1275 :rule ho_cong :premises (@p295 @p1274)) % 157.61/158.02 (step @p1276 :rule ho_cong :premises (@p1275 @p1267)) % 157.61/158.02 (step @p1277 :rule trans :premises (@p1276 @p1244)) % 157.61/158.02 (step @p1278 :rule ho_cong :premises (@p892 @p1277)) % 157.61/158.02 (step @p1279 :rule trans :premises (@p1278 @p1238)) % 157.61/158.02 (step @p1280 :rule refl :args ((tptp.s @t2 @t210))) % 157.61/158.02 (step @p1281 :rule refl :args ((tptp.c_2Eoption_2Eoption__CASE_2E3 @t203 @t209 @t9))) % 157.61/158.02 (step @p1282 :rule refl :args (@t932)) % 157.61/158.02 (step @p1283 :rule cong :premises (@p1221 @p1282 @p1229) :args (@t933)) % 157.61/158.02 (step @p1284 :rule trans :premises (@p1283 @p1281)) % 157.61/158.02 (step @p1285 :rule cong :premises (@p875 @p1284) :args (@t934)) % 157.61/158.02 (step @p1286 :rule trans :premises (@p1285 @p1280)) % 157.61/158.02 (step @p1287 :rule ho_cong :premises (@p892 @p1284)) % 157.61/158.02 (step @p1288 :rule cong :premises (@p1287 @p1286) :args ((= (_ @t13 @t933) @t934))) % 157.61/158.02 (step @p1289 :rule symm :premises (@p1288)) % 157.61/158.02 (step @p1290 :rule refl :args (@t211)) % 157.61/158.02 (step @p1291 :rule eq_resolve :premises (@p1290 @p1289)) % 157.61/158.02 (step @p1292 :rule ho_cong :premises (@p1024 @p1221)) % 157.61/158.02 (step @p1293 :rule ho_cong :premises (@p1292 @p1282)) % 157.61/158.02 (step @p1294 :rule ho_cong :premises (@p1293 @p1229)) % 157.61/158.02 (step @p1295 :rule cong :premises (@p1294 @p1284) :args ((= (_ (_ (_ tptp.c_2Eoption_2Eoption__CASE_2E3 @t926) @t932) @t929) @t933))) % 157.61/158.02 (step @p1296 :rule symm :premises (@p1295)) % 157.61/158.02 (step @p1297 :rule refl :args (@t210)) % 157.61/158.02 (step @p1298 :rule eq_resolve :premises (@p1297 @p1296)) % 157.61/158.02 (step @p1299 :rule refl :args (@t209)) % 157.61/158.02 (step @p1300 :rule cong :premises (@p1299 @p1282) :args ((= @t209 @t932))) % 157.61/158.02 (step @p1301 :rule symm :premises (@p1300)) % 157.61/158.02 (step @p1302 :rule eq_resolve :premises (@p1299 @p1301)) % 157.61/158.02 (step @p1303 :rule ho_cong :premises (@p1024 @p1263)) % 157.61/158.02 (step @p1304 :rule ho_cong :premises (@p1303 @p1302)) % 157.61/158.02 (step @p1305 :rule ho_cong :premises (@p1304 @p1274)) % 157.61/158.02 (step @p1306 :rule trans :premises (@p1305 @p1298)) % 157.61/158.02 (step @p1307 :rule ho_cong :premises (@p892 @p1306)) % 157.61/158.02 (step @p1308 :rule trans :premises (@p1307 @p1291)) % 157.61/158.02 (step @p1309 :rule cong :premises (@p1308 @p1279) :args (@t212)) % 157.61/158.02 (step @p1310 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t214))) % 157.61/158.02 (step @p1311 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t213))) % 157.61/158.02 (step @p1312 :rule refl :args ((tptp.c_2Eoption_2EIS__SOME_2E1 @t203))) % 157.61/158.02 (step @p1313 :rule cong :premises (@p1221) :args (@t935)) % 157.61/158.02 (step @p1314 :rule trans :premises (@p1313 @p1312)) % 157.61/158.02 (step @p1315 :rule cong :premises (@p59 @p1314) :args (@t936)) % 157.61/158.02 (step @p1316 :rule trans :premises (@p1315 @p1311)) % 157.61/158.02 (step @p1317 :rule cong :premises (@p1316) :args (@t937)) % 157.61/158.02 (step @p1318 :rule trans :premises (@p1317 @p1310)) % 157.61/158.02 (step @p1319 :rule ho_cong :premises (@p74 @p1316)) % 157.61/158.02 (step @p1320 :rule cong :premises (@p1319 @p1318) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t936) @t937))) % 157.61/158.02 (step @p1321 :rule symm :premises (@p1320)) % 157.61/158.02 (step @p1322 :rule refl :args (@t215)) % 157.61/158.02 (step @p1323 :rule eq_resolve :premises (@p1322 @p1321)) % 157.61/158.02 (step @p1324 :rule ho_cong :premises (@p62 @p1314)) % 157.61/158.02 (step @p1325 :rule cong :premises (@p1324 @p1316) :args ((= (_ @t38 @t935) @t936))) % 157.61/158.02 (step @p1326 :rule symm :premises (@p1325)) % 157.61/158.02 (step @p1327 :rule refl :args (@t214)) % 157.61/158.02 (step @p1328 :rule eq_resolve :premises (@p1327 @p1326)) % 157.61/158.02 (step @p1329 :rule ho_cong :premises (@p682 @p1221)) % 157.61/158.02 (step @p1330 :rule cong :premises (@p1329 @p1314) :args ((= (_ tptp.c_2Eoption_2EIS__SOME_2E1 @t926) @t935))) % 157.61/158.02 (step @p1331 :rule symm :premises (@p1330)) % 157.61/158.02 (step @p1332 :rule refl :args (@t213)) % 157.61/158.02 (step @p1333 :rule eq_resolve :premises (@p1332 @p1331)) % 157.61/158.02 (step @p1334 :rule ho_cong :premises (@p682 @p1263)) % 157.61/158.02 (step @p1335 :rule trans :premises (@p1334 @p1333)) % 157.61/158.02 (step @p1336 :rule ho_cong :premises (@p62 @p1335)) % 157.61/158.02 (step @p1337 :rule trans :premises (@p1336 @p1328)) % 157.61/158.02 (step @p1338 :rule ho_cong :premises (@p74 @p1337)) % 157.61/158.02 (step @p1339 :rule trans :premises (@p1338 @p1323)) % 157.61/158.02 (step @p1340 :rule cong :premises (@p1339) :args (@t1023)) % 157.61/158.02 (step @p1341 :rule nary_cong :premises (@p1340 @p1309) :args (@t1024)) % 157.61/158.02 (step @p1342 :rule cong :premises (@p1341) :args ((forall @t216 @t1024))) % 157.61/158.02 (step @p1343 :rule bool-impl-elim :args (@t215 @t212)) % 157.61/158.02 (step @p1344 :rule cong :premises (@p1343) :args (@t217)) % 157.61/158.02 (step @p1345 :rule trans :premises (@p1344 @p1342)) % 157.61/158.02 (step @p1346 :rule refl :args ((tptp.s @t2 @t220))) % 157.61/158.02 (step @p1347 :rule refl :args ((tptp.c_2Eoption_2Eoption__CASE_2E3 @t219 @t209 @t9))) % 157.61/158.02 (step @p1348 :rule refl :args ((tptp.s @t72 @t218))) % 157.61/158.02 (step @p1349 :rule refl :args (@t218)) % 157.61/158.02 (step @p1350 :rule cong :premises (@p172 @p1349) :args (@t940)) % 157.61/158.02 (step @p1351 :rule trans :premises (@p1350 @p1348)) % 157.61/158.02 (step @p1352 :rule cong :premises (@p1351 @p1282 @p1229) :args (@t941)) % 157.61/158.02 (step @p1353 :rule trans :premises (@p1352 @p1347)) % 157.61/158.02 (step @p1354 :rule cong :premises (@p875 @p1353) :args (@t942)) % 157.61/158.02 (step @p1355 :rule trans :premises (@p1354 @p1346)) % 157.61/158.02 (step @p1356 :rule ho_cong :premises (@p892 @p1353)) % 157.61/158.02 (step @p1357 :rule cong :premises (@p1356 @p1355) :args ((= (_ @t13 @t941) @t942))) % 157.61/158.02 (step @p1358 :rule symm :premises (@p1357)) % 157.61/158.02 (step @p1359 :rule refl :args (@t221)) % 157.61/158.02 (step @p1360 :rule eq_resolve :premises (@p1359 @p1358)) % 157.61/158.02 (step @p1361 :rule ho_cong :premises (@p1024 @p1351)) % 157.61/158.02 (step @p1362 :rule ho_cong :premises (@p1361 @p1282)) % 157.61/158.02 (step @p1363 :rule ho_cong :premises (@p1362 @p1229)) % 157.61/158.02 (step @p1364 :rule cong :premises (@p1363 @p1353) :args ((= (_ (_ (_ tptp.c_2Eoption_2Eoption__CASE_2E3 @t940) @t932) @t929) @t941))) % 157.61/158.02 (step @p1365 :rule symm :premises (@p1364)) % 157.61/158.02 (step @p1366 :rule refl :args (@t220)) % 157.61/158.02 (step @p1367 :rule eq_resolve :premises (@p1366 @p1365)) % 157.61/158.02 (step @p1368 :rule ho_cong :premises (@p175 @p1349)) % 157.61/158.02 (step @p1369 :rule cong :premises (@p1368 @p1351) :args ((= (_ @t468 @t218) @t940))) % 157.61/158.02 (step @p1370 :rule symm :premises (@p1369)) % 157.61/158.02 (step @p1371 :rule refl :args (@t219)) % 157.61/158.02 (step @p1372 :rule eq_resolve :premises (@p1371 @p1370)) % 157.61/158.02 (step @p1373 :rule ho_cong :premises (@p185 @p1349)) % 157.61/158.02 (step @p1374 :rule trans :premises (@p1373 @p1372)) % 157.61/158.02 (step @p1375 :rule ho_cong :premises (@p1024 @p1374)) % 157.61/158.02 (step @p1376 :rule ho_cong :premises (@p1375 @p1302)) % 157.61/158.02 (step @p1377 :rule ho_cong :premises (@p1376 @p1274)) % 157.61/158.02 (step @p1378 :rule trans :premises (@p1377 @p1367)) % 157.61/158.02 (step @p1379 :rule ho_cong :premises (@p892 @p1378)) % 157.61/158.02 (step @p1380 :rule trans :premises (@p1379 @p1360)) % 157.61/158.02 (step @p1381 :rule cong :premises (@p1302 @p1380) :args (@t1025)) % 157.61/158.02 (step @p1382 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t223))) % 157.61/158.02 (step @p1383 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t222))) % 157.61/158.02 (step @p1384 :rule refl :args ((tptp.c_2Eoption_2EIS__NONE_2E1 @t219))) % 157.61/158.02 (step @p1385 :rule cong :premises (@p1351) :args (@t943)) % 157.61/158.02 (step @p1386 :rule trans :premises (@p1385 @p1384)) % 157.61/158.02 (step @p1387 :rule cong :premises (@p59 @p1386) :args (@t944)) % 157.61/158.02 (step @p1388 :rule trans :premises (@p1387 @p1383)) % 157.61/158.02 (step @p1389 :rule cong :premises (@p1388) :args (@t945)) % 157.61/158.02 (step @p1390 :rule trans :premises (@p1389 @p1382)) % 157.61/158.02 (step @p1391 :rule ho_cong :premises (@p74 @p1388)) % 157.61/158.02 (step @p1392 :rule cong :premises (@p1391 @p1390) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t944) @t945))) % 157.61/158.02 (step @p1393 :rule symm :premises (@p1392)) % 157.61/158.02 (step @p1394 :rule refl :args (@t224)) % 157.61/158.02 (step @p1395 :rule eq_resolve :premises (@p1394 @p1393)) % 157.61/158.02 (step @p1396 :rule ho_cong :premises (@p62 @p1386)) % 157.61/158.02 (step @p1397 :rule cong :premises (@p1396 @p1388) :args ((= (_ @t38 @t943) @t944))) % 157.61/158.02 (step @p1398 :rule symm :premises (@p1397)) % 157.61/158.02 (step @p1399 :rule refl :args (@t223)) % 157.61/158.02 (step @p1400 :rule eq_resolve :premises (@p1399 @p1398)) % 157.61/158.02 (step @p1401 :rule refl :args (tptp.c_2Eoption_2EIS__NONE_2E1)) % 157.61/158.02 (step @p1402 :rule ho_cong :premises (@p1401 @p1351)) % 157.61/158.02 (step @p1403 :rule cong :premises (@p1402 @p1386) :args ((= (_ tptp.c_2Eoption_2EIS__NONE_2E1 @t940) @t943))) % 157.61/158.02 (step @p1404 :rule symm :premises (@p1403)) % 157.61/158.02 (step @p1405 :rule refl :args (@t222)) % 157.61/158.02 (step @p1406 :rule eq_resolve :premises (@p1405 @p1404)) % 157.61/158.02 (step @p1407 :rule ho_cong :premises (@p1401 @p1374)) % 157.61/158.02 (step @p1408 :rule trans :premises (@p1407 @p1406)) % 157.61/158.02 (step @p1409 :rule ho_cong :premises (@p62 @p1408)) % 157.61/158.02 (step @p1410 :rule trans :premises (@p1409 @p1400)) % 157.61/158.02 (step @p1411 :rule ho_cong :premises (@p74 @p1410)) % 157.61/158.02 (step @p1412 :rule trans :premises (@p1411 @p1395)) % 157.61/158.02 (step @p1413 :rule cong :premises (@p1412) :args (@t1026)) % 157.61/158.02 (step @p1414 :rule nary_cong :premises (@p1413 @p1381) :args (@t1027)) % 157.61/158.02 (step @p1415 :rule cong :premises (@p1414) :args ((forall @t226 @t1027))) % 157.61/158.02 (step @p1416 :rule bool-impl-elim :args (@t224 @t1025)) % 157.61/158.02 (step @p1417 :rule cong :premises (@p1416) :args ((forall @t226 (=> @t224 @t1025)))) % 157.61/158.02 (step @p1418 :rule trans :premises (@p1417 @p1415)) % 157.61/158.02 (step @p1419 :rule eq-symm :args (@t221 @t209)) % 157.61/158.02 (step @p1420 :rule refl :args (@t224)) % 157.61/158.02 (step @p1421 :rule cong :premises (@p1420 @p1419) :args (@t225)) % 157.61/158.02 (step @p1422 :rule cong :premises (@p1421) :args (@t227)) % 157.61/158.02 (step @p1423 :rule trans :premises (@p1422 @p1418)) % 157.61/158.02 (step @p1424 :rule refl :args ((tptp.s @t72 @t230))) % 157.61/158.02 (step @p1425 :rule refl :args ((tptp.c_2Eoption_2Eoption__CASE_2E3 @t229 @t229 @t110))) % 157.61/158.02 (step @p1426 :rule refl :args ((tptp.s @t72 @t228))) % 157.61/158.02 (step @p1427 :rule refl :args (@t228)) % 157.61/158.02 (step @p1428 :rule cong :premises (@p172 @p1427) :args (@t948)) % 157.61/158.02 (step @p1429 :rule trans :premises (@p1428 @p1426)) % 157.61/158.02 (step @p1430 :rule cong :premises (@p1429 @p1429 @p1111) :args (@t949)) % 157.61/158.02 (step @p1431 :rule trans :premises (@p1430 @p1425)) % 157.61/158.02 (step @p1432 :rule cong :premises (@p172 @p1431) :args (@t950)) % 157.61/158.02 (step @p1433 :rule trans :premises (@p1432 @p1424)) % 157.61/158.02 (step @p1434 :rule ho_cong :premises (@p175 @p1431)) % 157.61/158.02 (step @p1435 :rule cong :premises (@p1434 @p1433) :args ((= (_ @t468 @t949) @t950))) % 157.61/158.02 (step @p1436 :rule symm :premises (@p1435)) % 157.61/158.02 (step @p1437 :rule refl :args (@t231)) % 157.61/158.02 (step @p1438 :rule eq_resolve :premises (@p1437 @p1436)) % 157.61/158.02 (step @p1439 :rule ho_cong :premises (@p1024 @p1429)) % 157.61/158.02 (step @p1440 :rule ho_cong :premises (@p1439 @p1429)) % 157.61/158.02 (step @p1441 :rule ho_cong :premises (@p1440 @p1111)) % 157.61/158.02 (step @p1442 :rule cong :premises (@p1441 @p1431) :args ((= (_ (_ (_ tptp.c_2Eoption_2Eoption__CASE_2E3 @t948) @t948) @t916) @t949))) % 157.61/158.02 (step @p1443 :rule symm :premises (@p1442)) % 157.61/158.02 (step @p1444 :rule refl :args (@t230)) % 157.61/158.02 (step @p1445 :rule eq_resolve :premises (@p1444 @p1443)) % 157.61/158.02 (step @p1446 :rule ho_cong :premises (@p175 @p1427)) % 157.61/158.02 (step @p1447 :rule cong :premises (@p1446 @p1429) :args ((= (_ @t468 @t228) @t948))) % 157.61/158.02 (step @p1448 :rule symm :premises (@p1447)) % 157.61/158.02 (step @p1449 :rule refl :args (@t229)) % 157.61/158.02 (step @p1450 :rule eq_resolve :premises (@p1449 @p1448)) % 157.61/158.02 (step @p1451 :rule ho_cong :premises (@p185 @p1427)) % 157.61/158.02 (step @p1452 :rule trans :premises (@p1451 @p1450)) % 157.61/158.02 (step @p1453 :rule ho_cong :premises (@p1024 @p1452)) % 157.61/158.02 (step @p1454 :rule ho_cong :premises (@p1453 @p1452)) % 157.61/158.02 (step @p1455 :rule ho_cong :premises (@p1454 @p1151)) % 157.61/158.02 (step @p1456 :rule trans :premises (@p1455 @p1445)) % 157.61/158.02 (step @p1457 :rule ho_cong :premises (@p185 @p1456)) % 157.61/158.02 (step @p1458 :rule trans :premises (@p1457 @p1438)) % 157.61/158.02 (step @p1459 :rule cong :premises (@p1452 @p1458) :args (@t1028)) % 157.61/158.02 (step @p1460 :rule cong :premises (@p1459) :args ((forall @t232 @t1028))) % 157.61/158.02 (step @p1461 :rule eq-symm :args (@t231 @t229)) % 157.61/158.02 (step @p1462 :rule cong :premises (@p1461) :args (@t233)) % 157.61/158.02 (step @p1463 :rule trans :premises (@p1462 @p1460)) % 157.61/158.02 (step @p1464 :rule refl :args ((tptp.s @t72 @t236))) % 157.61/158.02 (step @p1465 :rule refl :args ((tptp.c_2Eoption_2Eoption__CASE_2E3 @t235 @t142 @t110))) % 157.61/158.02 (step @p1466 :rule refl :args ((tptp.s @t72 @t234))) % 157.61/158.02 (step @p1467 :rule refl :args (@t234)) % 157.61/158.02 (step @p1468 :rule cong :premises (@p172 @p1467) :args (@t953)) % 157.61/158.02 (step @p1469 :rule trans :premises (@p1468 @p1466)) % 157.61/158.02 (step @p1470 :rule cong :premises (@p1469 @p190 @p1111) :args (@t954)) % 157.61/158.02 (step @p1471 :rule trans :premises (@p1470 @p1465)) % 157.61/158.02 (step @p1472 :rule cong :premises (@p172 @p1471) :args (@t955)) % 157.61/158.02 (step @p1473 :rule trans :premises (@p1472 @p1464)) % 157.61/158.02 (step @p1474 :rule ho_cong :premises (@p175 @p1471)) % 157.61/158.02 (step @p1475 :rule cong :premises (@p1474 @p1473) :args ((= (_ @t468 @t954) @t955))) % 157.61/158.02 (step @p1476 :rule symm :premises (@p1475)) % 157.61/158.02 (step @p1477 :rule refl :args (@t237)) % 157.61/158.02 (step @p1478 :rule eq_resolve :premises (@p1477 @p1476)) % 157.61/158.02 (step @p1479 :rule ho_cong :premises (@p1024 @p1469)) % 157.61/158.02 (step @p1480 :rule ho_cong :premises (@p1479 @p190)) % 157.61/158.02 (step @p1481 :rule ho_cong :premises (@p1480 @p1111)) % 157.61/158.02 (step @p1482 :rule cong :premises (@p1481 @p1471) :args ((= (_ (_ (_ tptp.c_2Eoption_2Eoption__CASE_2E3 @t953) @t462) @t916) @t954))) % 157.61/158.02 (step @p1483 :rule symm :premises (@p1482)) % 157.61/158.02 (step @p1484 :rule refl :args (@t236)) % 157.61/158.02 (step @p1485 :rule eq_resolve :premises (@p1484 @p1483)) % 157.61/158.02 (step @p1486 :rule ho_cong :premises (@p175 @p1467)) % 157.61/158.02 (step @p1487 :rule cong :premises (@p1486 @p1469) :args ((= (_ @t468 @t234) @t953))) % 157.61/158.02 (step @p1488 :rule symm :premises (@p1487)) % 157.61/158.02 (step @p1489 :rule refl :args (@t235)) % 157.61/158.02 (step @p1490 :rule eq_resolve :premises (@p1489 @p1488)) % 157.61/158.02 (step @p1491 :rule ho_cong :premises (@p185 @p1467)) % 157.61/158.02 (step @p1492 :rule trans :premises (@p1491 @p1490)) % 157.61/158.02 (step @p1493 :rule ho_cong :premises (@p1024 @p1492)) % 157.61/158.02 (step @p1494 :rule ho_cong :premises (@p1493 @p197)) % 157.61/158.02 (step @p1495 :rule ho_cong :premises (@p1494 @p1151)) % 157.61/158.02 (step @p1496 :rule trans :premises (@p1495 @p1485)) % 157.61/158.02 (step @p1497 :rule ho_cong :premises (@p185 @p1496)) % 157.61/158.02 (step @p1498 :rule trans :premises (@p1497 @p1478)) % 157.61/158.02 (step @p1499 :rule cong :premises (@p1492 @p1498) :args (@t1029)) % 157.61/158.02 (step @p1500 :rule cong :premises (@p1499) :args ((forall @t238 @t1029))) % 157.61/158.02 (step @p1501 :rule eq-symm :args (@t237 @t235)) % 157.61/158.02 (step @p1502 :rule cong :premises (@p1501) :args (@t239)) % 157.61/158.02 (step @p1503 :rule trans :premises (@p1502 @p1500)) % 157.61/158.02 (step @p1504 :rule refl :args ((tptp.s @t72 @t244))) % 157.61/158.02 (step @p1505 :rule refl :args ((tptp.c_2Eoption_2ESOME_2E1 @t243))) % 157.61/158.02 (step @p1506 :rule refl :args ((tptp.s @t3 @t242))) % 157.61/158.02 (step @p1507 :rule refl :args ((tptp.c_2Eoption_2ETHE_2E1 @t241))) % 157.61/158.02 (step @p1508 :rule refl :args ((tptp.s @t72 @t240))) % 157.61/158.02 (step @p1509 :rule refl :args (@t240)) % 157.61/158.02 (step @p1510 :rule cong :premises (@p172 @p1509) :args (@t958)) % 157.61/158.02 (step @p1511 :rule trans :premises (@p1510 @p1508)) % 157.61/158.02 (step @p1512 :rule cong :premises (@p1511) :args (@t959)) % 157.61/158.02 (step @p1513 :rule trans :premises (@p1512 @p1507)) % 157.61/158.02 (step @p1514 :rule cong :premises (@p208 @p1513) :args (@t960)) % 157.61/158.02 (step @p1515 :rule trans :premises (@p1514 @p1506)) % 157.61/158.02 (step @p1516 :rule cong :premises (@p1515) :args (@t961)) % 157.61/158.02 (step @p1517 :rule trans :premises (@p1516 @p1505)) % 157.61/158.02 (step @p1518 :rule cong :premises (@p172 @p1517) :args (@t962)) % 157.61/158.02 (step @p1519 :rule trans :premises (@p1518 @p1504)) % 157.61/158.02 (step @p1520 :rule ho_cong :premises (@p175 @p1517)) % 157.61/158.02 (step @p1521 :rule cong :premises (@p1520 @p1519) :args ((= (_ @t468 @t961) @t962))) % 157.61/158.02 (step @p1522 :rule symm :premises (@p1521)) % 157.61/158.02 (step @p1523 :rule refl :args (@t245)) % 157.61/158.02 (step @p1524 :rule eq_resolve :premises (@p1523 @p1522)) % 157.61/158.02 (step @p1525 :rule ho_cong :premises (@p347 @p1515)) % 157.61/158.02 (step @p1526 :rule cong :premises (@p1525 @p1517) :args ((= (_ tptp.c_2Eoption_2ESOME_2E1 @t960) @t961))) % 157.61/158.02 (step @p1527 :rule symm :premises (@p1526)) % 157.61/158.02 (step @p1528 :rule refl :args (@t244)) % 157.61/158.02 (step @p1529 :rule eq_resolve :premises (@p1528 @p1527)) % 157.61/158.02 (step @p1530 :rule ho_cong :premises (@p1245 @p1513)) % 157.61/158.02 (step @p1531 :rule cong :premises (@p1530 @p1515) :args ((= (_ @t11 @t959) @t960))) % 157.61/158.02 (step @p1532 :rule symm :premises (@p1531)) % 157.61/158.02 (step @p1533 :rule refl :args (@t243)) % 157.61/158.02 (step @p1534 :rule eq_resolve :premises (@p1533 @p1532)) % 157.61/158.02 (step @p1535 :rule ho_cong :premises (@p1251 @p1511)) % 157.61/158.02 (step @p1536 :rule cong :premises (@p1535 @p1513) :args ((= (_ tptp.c_2Eoption_2ETHE_2E1 @t958) @t959))) % 157.61/158.02 (step @p1537 :rule symm :premises (@p1536)) % 157.61/158.02 (step @p1538 :rule refl :args (@t242)) % 157.61/158.02 (step @p1539 :rule eq_resolve :premises (@p1538 @p1537)) % 157.61/158.02 (step @p1540 :rule ho_cong :premises (@p175 @p1509)) % 157.61/158.02 (step @p1541 :rule cong :premises (@p1540 @p1511) :args ((= (_ @t468 @t240) @t958))) % 157.61/158.02 (step @p1542 :rule symm :premises (@p1541)) % 157.61/158.02 (step @p1543 :rule refl :args (@t241)) % 157.61/158.02 (step @p1544 :rule eq_resolve :premises (@p1543 @p1542)) % 157.61/158.02 (step @p1545 :rule ho_cong :premises (@p185 @p1509)) % 157.61/158.02 (step @p1546 :rule trans :premises (@p1545 @p1544)) % 157.61/158.02 (step @p1547 :rule ho_cong :premises (@p1251 @p1546)) % 157.61/158.02 (step @p1548 :rule trans :premises (@p1547 @p1539)) % 157.61/158.02 (step @p1549 :rule ho_cong :premises (@p1245 @p1548)) % 157.61/158.02 (step @p1550 :rule trans :premises (@p1549 @p1534)) % 157.61/158.02 (step @p1551 :rule ho_cong :premises (@p347 @p1550)) % 157.61/158.02 (step @p1552 :rule trans :premises (@p1551 @p1529)) % 157.61/158.02 (step @p1553 :rule ho_cong :premises (@p185 @p1552)) % 157.61/158.02 (step @p1554 :rule trans :premises (@p1553 @p1524)) % 157.61/158.02 (step @p1555 :rule cong :premises (@p1546 @p1554) :args (@t1030)) % 157.61/158.02 (step @p1556 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t247))) % 157.61/158.02 (step @p1557 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t246))) % 157.61/158.02 (step @p1558 :rule refl :args ((tptp.c_2Eoption_2EIS__SOME_2E1 @t241))) % 157.61/158.02 (step @p1559 :rule cong :premises (@p1511) :args (@t963)) % 157.61/158.02 (step @p1560 :rule trans :premises (@p1559 @p1558)) % 157.61/158.02 (step @p1561 :rule cong :premises (@p59 @p1560) :args (@t964)) % 157.61/158.02 (step @p1562 :rule trans :premises (@p1561 @p1557)) % 157.61/158.02 (step @p1563 :rule cong :premises (@p1562) :args (@t965)) % 157.61/158.02 (step @p1564 :rule trans :premises (@p1563 @p1556)) % 157.61/158.02 (step @p1565 :rule ho_cong :premises (@p74 @p1562)) % 157.61/158.02 (step @p1566 :rule cong :premises (@p1565 @p1564) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t964) @t965))) % 157.61/158.02 (step @p1567 :rule symm :premises (@p1566)) % 157.61/158.02 (step @p1568 :rule refl :args (@t248)) % 157.61/158.02 (step @p1569 :rule eq_resolve :premises (@p1568 @p1567)) % 157.61/158.02 (step @p1570 :rule ho_cong :premises (@p62 @p1560)) % 157.61/158.02 (step @p1571 :rule cong :premises (@p1570 @p1562) :args ((= (_ @t38 @t963) @t964))) % 157.61/158.02 (step @p1572 :rule symm :premises (@p1571)) % 157.61/158.02 (step @p1573 :rule refl :args (@t247)) % 157.61/158.02 (step @p1574 :rule eq_resolve :premises (@p1573 @p1572)) % 157.61/158.02 (step @p1575 :rule ho_cong :premises (@p682 @p1511)) % 157.61/158.02 (step @p1576 :rule cong :premises (@p1575 @p1560) :args ((= (_ tptp.c_2Eoption_2EIS__SOME_2E1 @t958) @t963))) % 157.61/158.02 (step @p1577 :rule symm :premises (@p1576)) % 157.61/158.02 (step @p1578 :rule refl :args (@t246)) % 157.61/158.02 (step @p1579 :rule eq_resolve :premises (@p1578 @p1577)) % 157.61/158.02 (step @p1580 :rule ho_cong :premises (@p682 @p1546)) % 157.61/158.02 (step @p1581 :rule trans :premises (@p1580 @p1579)) % 157.61/158.02 (step @p1582 :rule ho_cong :premises (@p62 @p1581)) % 157.61/158.02 (step @p1583 :rule trans :premises (@p1582 @p1574)) % 157.61/158.02 (step @p1584 :rule ho_cong :premises (@p74 @p1583)) % 157.61/158.02 (step @p1585 :rule trans :premises (@p1584 @p1569)) % 157.61/158.02 (step @p1586 :rule cong :premises (@p1585) :args (@t1031)) % 157.61/158.02 (step @p1587 :rule nary_cong :premises (@p1586 @p1555) :args (@t1032)) % 157.61/158.02 (step @p1588 :rule cong :premises (@p1587) :args ((forall @t250 @t1032))) % 157.61/158.02 (step @p1589 :rule bool-impl-elim :args (@t248 @t1030)) % 157.61/158.02 (step @p1590 :rule cong :premises (@p1589) :args ((forall @t250 (=> @t248 @t1030)))) % 157.61/158.02 (step @p1591 :rule trans :premises (@p1590 @p1588)) % 157.61/158.02 (step @p1592 :rule eq-symm :args (@t245 @t241)) % 157.61/158.02 (step @p1593 :rule refl :args (@t248)) % 157.61/158.02 (step @p1594 :rule cong :premises (@p1593 @p1592) :args (@t249)) % 157.61/158.02 (step @p1595 :rule cong :premises (@p1594) :args (@t251)) % 157.61/158.02 (step @p1596 :rule trans :premises (@p1595 @p1591)) % 157.61/158.02 (step @p1597 :rule refl :args ((tptp.s @t72 @t252))) % 157.61/158.02 (step @p1598 :rule refl :args (@t252)) % 157.61/158.02 (step @p1599 :rule cong :premises (@p172 @p1598) :args (@t968)) % 157.61/158.02 (step @p1600 :rule trans :premises (@p1599 @p1597)) % 157.61/158.02 (step @p1601 :rule ho_cong :premises (@p175 @p1598)) % 157.61/158.02 (step @p1602 :rule cong :premises (@p1601 @p1600) :args ((= (_ @t468 @t252) @t968))) % 157.61/158.02 (step @p1603 :rule symm :premises (@p1602)) % 157.61/158.02 (step @p1604 :rule refl :args (@t253)) % 157.61/158.02 (step @p1605 :rule eq_resolve :premises (@p1604 @p1603)) % 157.61/158.02 (step @p1606 :rule ho_cong :premises (@p185 @p1598)) % 157.61/158.02 (step @p1607 :rule trans :premises (@p1606 @p1605)) % 157.61/158.02 (step @p1608 :rule cong :premises (@p197 @p1607) :args (@t1033)) % 157.61/158.02 (step @p1609 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t255))) % 157.61/158.02 (step @p1610 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t254))) % 157.61/158.02 (step @p1611 :rule refl :args ((tptp.c_2Eoption_2EIS__SOME_2E1 @t253))) % 157.61/158.02 (step @p1612 :rule cong :premises (@p1600) :args (@t969)) % 157.61/158.02 (step @p1613 :rule trans :premises (@p1612 @p1611)) % 157.61/158.02 (step @p1614 :rule cong :premises (@p59 @p1613) :args (@t970)) % 157.61/158.02 (step @p1615 :rule trans :premises (@p1614 @p1610)) % 157.61/158.02 (step @p1616 :rule cong :premises (@p1615) :args (@t971)) % 157.61/158.02 (step @p1617 :rule trans :premises (@p1616 @p1609)) % 157.61/158.02 (step @p1618 :rule ho_cong :premises (@p74 @p1615)) % 157.61/158.02 (step @p1619 :rule cong :premises (@p1618 @p1617) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t970) @t971))) % 157.61/158.02 (step @p1620 :rule symm :premises (@p1619)) % 157.61/158.02 (step @p1621 :rule refl :args (@t256)) % 157.61/158.02 (step @p1622 :rule eq_resolve :premises (@p1621 @p1620)) % 157.61/158.02 (step @p1623 :rule ho_cong :premises (@p62 @p1613)) % 157.61/158.02 (step @p1624 :rule cong :premises (@p1623 @p1615) :args ((= (_ @t38 @t969) @t970))) % 157.61/158.02 (step @p1625 :rule symm :premises (@p1624)) % 157.61/158.02 (step @p1626 :rule refl :args (@t255)) % 157.61/158.02 (step @p1627 :rule eq_resolve :premises (@p1626 @p1625)) % 157.61/158.02 (step @p1628 :rule ho_cong :premises (@p682 @p1600)) % 157.61/158.02 (step @p1629 :rule cong :premises (@p1628 @p1613) :args ((= (_ tptp.c_2Eoption_2EIS__SOME_2E1 @t968) @t969))) % 157.61/158.02 (step @p1630 :rule symm :premises (@p1629)) % 157.61/158.02 (step @p1631 :rule refl :args (@t254)) % 157.61/158.02 (step @p1632 :rule eq_resolve :premises (@p1631 @p1630)) % 157.61/158.02 (step @p1633 :rule ho_cong :premises (@p682 @p1607)) % 157.61/158.02 (step @p1634 :rule trans :premises (@p1633 @p1632)) % 157.61/158.02 (step @p1635 :rule ho_cong :premises (@p62 @p1634)) % 157.61/158.02 (step @p1636 :rule trans :premises (@p1635 @p1627)) % 157.61/158.02 (step @p1637 :rule ho_cong :premises (@p74 @p1636)) % 157.61/158.02 (step @p1638 :rule trans :premises (@p1637 @p1622)) % 157.61/158.02 (step @p1639 :rule cong :premises (@p1638) :args (@t257)) % 157.61/158.02 (step @p1640 :rule cong :premises (@p1639 @p1608) :args (@t1034)) % 157.61/158.02 (step @p1641 :rule cong :premises (@p1640) :args ((forall @t259 @t1034))) % 157.61/158.02 (step @p1642 :rule eq-symm :args (@t253 @t142)) % 157.61/158.02 (step @p1643 :rule refl :args (@t257)) % 157.61/158.02 (step @p1644 :rule cong :premises (@p1643 @p1642) :args (@t258)) % 157.61/158.02 (step @p1645 :rule cong :premises (@p1644) :args (@t260)) % 157.61/158.02 (step @p1646 :rule trans :premises (@p1645 @p1641)) % 157.61/158.02 (step @p1647 :rule refl :args ((tptp.s @t72 @t261))) % 157.61/158.02 (step @p1648 :rule refl :args (@t261)) % 157.61/158.02 (step @p1649 :rule cong :premises (@p172 @p1648) :args (@t974)) % 157.61/158.02 (step @p1650 :rule trans :premises (@p1649 @p1647)) % 157.61/158.02 (step @p1651 :rule ho_cong :premises (@p175 @p1648)) % 157.61/158.02 (step @p1652 :rule cong :premises (@p1651 @p1650) :args ((= (_ @t468 @t261) @t974))) % 157.61/158.02 (step @p1653 :rule symm :premises (@p1652)) % 157.61/158.02 (step @p1654 :rule refl :args (@t262)) % 157.61/158.02 (step @p1655 :rule eq_resolve :premises (@p1654 @p1653)) % 157.61/158.02 (step @p1656 :rule ho_cong :premises (@p185 @p1648)) % 157.61/158.02 (step @p1657 :rule trans :premises (@p1656 @p1655)) % 157.61/158.02 (step @p1658 :rule cong :premises (@p197 @p1657) :args (@t1035)) % 157.61/158.02 (step @p1659 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t264))) % 157.61/158.02 (step @p1660 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t263))) % 157.61/158.02 (step @p1661 :rule refl :args ((tptp.c_2Eoption_2EIS__NONE_2E1 @t262))) % 157.61/158.02 (step @p1662 :rule cong :premises (@p1650) :args (@t975)) % 157.61/158.02 (step @p1663 :rule trans :premises (@p1662 @p1661)) % 157.61/158.02 (step @p1664 :rule cong :premises (@p59 @p1663) :args (@t976)) % 157.61/158.02 (step @p1665 :rule trans :premises (@p1664 @p1660)) % 157.61/158.02 (step @p1666 :rule cong :premises (@p1665) :args (@t977)) % 157.61/158.02 (step @p1667 :rule trans :premises (@p1666 @p1659)) % 157.61/158.02 (step @p1668 :rule ho_cong :premises (@p74 @p1665)) % 157.61/158.02 (step @p1669 :rule cong :premises (@p1668 @p1667) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t976) @t977))) % 157.61/158.02 (step @p1670 :rule symm :premises (@p1669)) % 157.61/158.02 (step @p1671 :rule refl :args (@t265)) % 157.61/158.02 (step @p1672 :rule eq_resolve :premises (@p1671 @p1670)) % 157.61/158.02 (step @p1673 :rule ho_cong :premises (@p62 @p1663)) % 157.61/158.02 (step @p1674 :rule cong :premises (@p1673 @p1665) :args ((= (_ @t38 @t975) @t976))) % 157.61/158.02 (step @p1675 :rule symm :premises (@p1674)) % 157.61/158.02 (step @p1676 :rule refl :args (@t264)) % 157.61/158.02 (step @p1677 :rule eq_resolve :premises (@p1676 @p1675)) % 157.61/158.02 (step @p1678 :rule ho_cong :premises (@p1401 @p1650)) % 157.61/158.02 (step @p1679 :rule cong :premises (@p1678 @p1663) :args ((= (_ tptp.c_2Eoption_2EIS__NONE_2E1 @t974) @t975))) % 157.61/158.02 (step @p1680 :rule symm :premises (@p1679)) % 157.61/158.02 (step @p1681 :rule refl :args (@t263)) % 157.61/158.02 (step @p1682 :rule eq_resolve :premises (@p1681 @p1680)) % 157.61/158.02 (step @p1683 :rule ho_cong :premises (@p1401 @p1657)) % 157.61/158.02 (step @p1684 :rule trans :premises (@p1683 @p1682)) % 157.61/158.02 (step @p1685 :rule ho_cong :premises (@p62 @p1684)) % 157.61/158.02 (step @p1686 :rule trans :premises (@p1685 @p1677)) % 157.61/158.02 (step @p1687 :rule ho_cong :premises (@p74 @p1686)) % 157.61/158.02 (step @p1688 :rule trans :premises (@p1687 @p1672)) % 157.61/158.02 (step @p1689 :rule cong :premises (@p1688 @p1658) :args (@t1036)) % 157.61/158.02 (step @p1690 :rule cong :premises (@p1689) :args ((forall @t267 @t1036))) % 157.61/158.02 (step @p1691 :rule eq-symm :args (@t262 @t142)) % 157.61/158.02 (step @p1692 :rule refl :args (@t265)) % 157.61/158.02 (step @p1693 :rule cong :premises (@p1692 @p1691) :args (@t266)) % 157.61/158.02 (step @p1694 :rule cong :premises (@p1693) :args (@t268)) % 157.61/158.02 (step @p1695 :rule trans :premises (@p1694 @p1690)) % 157.61/158.02 (step @p1696 :rule eq-symm :args (@t269 tptp.mono_2Ec_2Ebool_2EF)) % 157.61/158.02 (step @p1697 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t275))) % 157.61/158.02 (step @p1698 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t274))) % 157.61/158.02 (step @p1699 :rule refl :args ((tptp.c_2Eoption_2EIS__SOME_2E1 @t273))) % 157.61/158.03 (step @p1700 :rule refl :args ((tptp.s @t72 @t272))) % 157.61/158.03 (step @p1701 :rule refl :args ((tptp.c_2Eoption_2ESOME_2E1 @t271))) % 157.61/158.03 (step @p1702 :rule refl :args (@t982)) % 157.61/158.03 (step @p1703 :rule cong :premises (@p1702) :args (@t983)) % 157.61/158.03 (step @p1704 :rule trans :premises (@p1703 @p1701)) % 157.61/158.03 (step @p1705 :rule cong :premises (@p172 @p1704) :args (@t984)) % 157.61/158.03 (step @p1706 :rule trans :premises (@p1705 @p1700)) % 157.61/158.03 (step @p1707 :rule cong :premises (@p1706) :args (@t985)) % 157.61/158.03 (step @p1708 :rule trans :premises (@p1707 @p1699)) % 157.61/158.03 (step @p1709 :rule cong :premises (@p59 @p1708) :args (@t986)) % 157.61/158.03 (step @p1710 :rule trans :premises (@p1709 @p1698)) % 157.61/158.03 (step @p1711 :rule cong :premises (@p1710) :args (@t987)) % 157.61/158.03 (step @p1712 :rule trans :premises (@p1711 @p1697)) % 157.61/158.03 (step @p1713 :rule ho_cong :premises (@p74 @p1710)) % 157.61/158.03 (step @p1714 :rule cong :premises (@p1713 @p1712) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t986) @t987))) % 157.61/158.03 (step @p1715 :rule symm :premises (@p1714)) % 157.61/158.03 (step @p1716 :rule refl :args (@t276)) % 157.61/158.03 (step @p1717 :rule eq_resolve :premises (@p1716 @p1715)) % 157.61/158.03 (step @p1718 :rule ho_cong :premises (@p62 @p1708)) % 157.61/158.03 (step @p1719 :rule cong :premises (@p1718 @p1710) :args ((= (_ @t38 @t985) @t986))) % 157.61/158.03 (step @p1720 :rule symm :premises (@p1719)) % 157.61/158.03 (step @p1721 :rule refl :args (@t275)) % 157.61/158.03 (step @p1722 :rule eq_resolve :premises (@p1721 @p1720)) % 157.61/158.03 (step @p1723 :rule ho_cong :premises (@p682 @p1706)) % 157.61/158.03 (step @p1724 :rule cong :premises (@p1723 @p1708) :args ((= (_ tptp.c_2Eoption_2EIS__SOME_2E1 @t984) @t985))) % 157.61/158.03 (step @p1725 :rule symm :premises (@p1724)) % 157.61/158.03 (step @p1726 :rule refl :args (@t274)) % 157.61/158.03 (step @p1727 :rule eq_resolve :premises (@p1726 @p1725)) % 157.61/158.03 (step @p1728 :rule ho_cong :premises (@p175 @p1704)) % 157.61/158.03 (step @p1729 :rule cong :premises (@p1728 @p1706) :args ((= (_ @t468 @t983) @t984))) % 157.61/158.03 (step @p1730 :rule symm :premises (@p1729)) % 157.61/158.03 (step @p1731 :rule refl :args (@t273)) % 157.61/158.03 (step @p1732 :rule eq_resolve :premises (@p1731 @p1730)) % 157.61/158.03 (step @p1733 :rule ho_cong :premises (@p347 @p1702)) % 157.61/158.03 (step @p1734 :rule cong :premises (@p1733 @p1704) :args ((= (_ tptp.c_2Eoption_2ESOME_2E1 @t982) @t983))) % 157.61/158.03 (step @p1735 :rule symm :premises (@p1734)) % 157.61/158.03 (step @p1736 :rule refl :args (@t272)) % 157.61/158.03 (step @p1737 :rule eq_resolve :premises (@p1736 @p1735)) % 157.61/158.03 (step @p1738 :rule refl :args (@t271)) % 157.61/158.03 (step @p1739 :rule cong :premises (@p1738 @p1702) :args ((= @t271 @t982))) % 157.61/158.03 (step @p1740 :rule symm :premises (@p1739)) % 157.61/158.03 (step @p1741 :rule eq_resolve :premises (@p1738 @p1740)) % 157.61/158.03 (step @p1742 :rule ho_cong :premises (@p347 @p1741)) % 157.61/158.03 (step @p1743 :rule trans :premises (@p1742 @p1737)) % 157.61/158.03 (step @p1744 :rule ho_cong :premises (@p185 @p1743)) % 157.61/158.03 (step @p1745 :rule trans :premises (@p1744 @p1732)) % 157.61/158.03 (step @p1746 :rule ho_cong :premises (@p682 @p1745)) % 157.61/158.03 (step @p1747 :rule trans :premises (@p1746 @p1727)) % 157.61/158.03 (step @p1748 :rule ho_cong :premises (@p62 @p1747)) % 157.61/158.03 (step @p1749 :rule trans :premises (@p1748 @p1722)) % 157.61/158.03 (step @p1750 :rule ho_cong :premises (@p74 @p1749)) % 157.61/158.03 (step @p1751 :rule trans :premises (@p1750 @p1717)) % 157.61/158.03 (step @p1752 :rule refl :args (tptp.mono_2Ec_2Ebool_2ET)) % 157.61/158.03 (step @p1753 :rule cong :premises (@p1752 @p1751) :args (@t1037)) % 157.61/158.03 (step @p1754 :rule cong :premises (@p1753) :args ((forall @t277 @t1037))) % 157.61/158.03 (step @p1755 :rule eq-symm :args (@t276 tptp.mono_2Ec_2Ebool_2ET)) % 157.61/158.03 (step @p1756 :rule cong :premises (@p1755) :args (@t278)) % 157.61/158.03 (step @p1757 :rule trans :premises (@p1756 @p1754)) % 157.61/158.03 (step @p1758 :rule refl :args ((tptp.s @t72 @t281))) % 157.61/158.03 (step @p1759 :rule refl :args ((tptp.c_2Eoption_2ESOME_2E1 @t280))) % 157.61/158.03 (step @p1760 :rule refl :args (@t990)) % 157.61/158.03 (step @p1761 :rule cong :premises (@p1760) :args (@t991)) % 157.61/158.03 (step @p1762 :rule trans :premises (@p1761 @p1759)) % 157.61/158.03 (step @p1763 :rule cong :premises (@p172 @p1762) :args (@t992)) % 157.61/158.03 (step @p1764 :rule trans :premises (@p1763 @p1758)) % 157.61/158.03 (step @p1765 :rule ho_cong :premises (@p175 @p1762)) % 157.61/158.03 (step @p1766 :rule cong :premises (@p1765 @p1764) :args ((= (_ @t468 @t991) @t992))) % 157.61/158.03 (step @p1767 :rule symm :premises (@p1766)) % 157.61/158.03 (step @p1768 :rule refl :args (@t282)) % 157.61/158.03 (step @p1769 :rule eq_resolve :premises (@p1768 @p1767)) % 157.61/158.03 (step @p1770 :rule ho_cong :premises (@p347 @p1760)) % 157.61/158.03 (step @p1771 :rule cong :premises (@p1770 @p1762) :args ((= (_ tptp.c_2Eoption_2ESOME_2E1 @t990) @t991))) % 157.61/158.03 (step @p1772 :rule symm :premises (@p1771)) % 157.61/158.03 (step @p1773 :rule refl :args (@t281)) % 157.61/158.03 (step @p1774 :rule eq_resolve :premises (@p1773 @p1772)) % 157.61/158.03 (step @p1775 :rule refl :args (@t280)) % 157.61/158.03 (step @p1776 :rule cong :premises (@p1775 @p1760) :args ((= @t280 @t990))) % 157.61/158.03 (step @p1777 :rule symm :premises (@p1776)) % 157.61/158.03 (step @p1778 :rule eq_resolve :premises (@p1775 @p1777)) % 157.61/158.03 (step @p1779 :rule ho_cong :premises (@p347 @p1778)) % 157.61/158.03 (step @p1780 :rule trans :premises (@p1779 @p1774)) % 157.61/158.03 (step @p1781 :rule ho_cong :premises (@p185 @p1780)) % 157.61/158.03 (step @p1782 :rule trans :premises (@p1781 @p1769)) % 157.61/158.03 (step @p1783 :rule cong :premises (@p197 @p1782) :args (@t1038)) % 157.61/158.03 (step @p1784 :rule cong :premises (@p1783) :args (@t1039)) % 157.61/158.03 (step @p1785 :rule cong :premises (@p1784) :args ((forall @t284 @t1039))) % 157.61/158.03 (step @p1786 :rule eq-symm :args (@t282 @t142)) % 157.61/158.03 (step @p1787 :rule cong :premises (@p1786) :args (@t283)) % 157.61/158.03 (step @p1788 :rule cong :premises (@p1787) :args (@t285)) % 157.61/158.03 (step @p1789 :rule trans :premises (@p1788 @p1785)) % 157.61/158.03 (step @p1790 :rule refl :args ((tptp.s @t72 @t288))) % 157.61/158.03 (step @p1791 :rule refl :args ((tptp.c_2Eoption_2ESOME_2E1 @t287))) % 157.61/158.03 (step @p1792 :rule refl :args (@t995)) % 157.61/158.03 (step @p1793 :rule cong :premises (@p1792) :args (@t996)) % 157.61/158.03 (step @p1794 :rule trans :premises (@p1793 @p1791)) % 157.61/158.03 (step @p1795 :rule cong :premises (@p172 @p1794) :args (@t997)) % 157.61/158.03 (step @p1796 :rule trans :premises (@p1795 @p1790)) % 157.61/158.03 (step @p1797 :rule ho_cong :premises (@p175 @p1794)) % 157.61/158.03 (step @p1798 :rule cong :premises (@p1797 @p1796) :args ((= (_ @t468 @t996) @t997))) % 157.61/158.03 (step @p1799 :rule symm :premises (@p1798)) % 157.61/158.03 (step @p1800 :rule refl :args (@t289)) % 157.61/158.03 (step @p1801 :rule eq_resolve :premises (@p1800 @p1799)) % 157.61/158.03 (step @p1802 :rule ho_cong :premises (@p347 @p1792)) % 157.61/158.03 (step @p1803 :rule cong :premises (@p1802 @p1794) :args ((= (_ tptp.c_2Eoption_2ESOME_2E1 @t995) @t996))) % 157.61/158.03 (step @p1804 :rule symm :premises (@p1803)) % 157.61/158.03 (step @p1805 :rule refl :args (@t288)) % 157.61/158.03 (step @p1806 :rule eq_resolve :premises (@p1805 @p1804)) % 157.61/158.03 (step @p1807 :rule refl :args (@t287)) % 157.61/158.03 (step @p1808 :rule cong :premises (@p1807 @p1792) :args ((= @t287 @t995))) % 157.61/158.03 (step @p1809 :rule symm :premises (@p1808)) % 157.61/158.03 (step @p1810 :rule eq_resolve :premises (@p1807 @p1809)) % 157.61/158.03 (step @p1811 :rule ho_cong :premises (@p347 @p1810)) % 157.61/158.03 (step @p1812 :rule trans :premises (@p1811 @p1806)) % 157.61/158.03 (step @p1813 :rule ho_cong :premises (@p185 @p1812)) % 157.61/158.03 (step @p1814 :rule trans :premises (@p1813 @p1801)) % 157.61/158.03 (step @p1815 :rule cong :premises (@p197 @p1814) :args (@t290)) % 157.61/158.03 (step @p1816 :rule cong :premises (@p1815) :args (@t291)) % 157.61/158.03 (step @p1817 :rule cong :premises (@p1816) :args (@t293)) % 157.61/158.03 (step @p1818 :rule refl :args ((tptp.s @t3 @t298))) % 157.61/158.03 (step @p1819 :rule refl :args ((tptp.c_2Eoption_2ETHE_2E1 @t297))) % 157.61/158.03 (step @p1820 :rule refl :args ((tptp.s @t72 @t296))) % 157.61/158.03 (step @p1821 :rule refl :args ((tptp.c_2Eoption_2ESOME_2E1 @t295))) % 157.61/158.03 (step @p1822 :rule refl :args (@t1000)) % 157.61/158.03 (step @p1823 :rule cong :premises (@p1822) :args (@t1001)) % 157.61/158.03 (step @p1824 :rule trans :premises (@p1823 @p1821)) % 157.61/158.03 (step @p1825 :rule cong :premises (@p172 @p1824) :args (@t1002)) % 157.61/158.03 (step @p1826 :rule trans :premises (@p1825 @p1820)) % 157.61/158.03 (step @p1827 :rule cong :premises (@p1826) :args (@t1003)) % 157.61/158.03 (step @p1828 :rule trans :premises (@p1827 @p1819)) % 157.61/158.03 (step @p1829 :rule cong :premises (@p208 @p1828) :args (@t1004)) % 157.61/158.03 (step @p1830 :rule trans :premises (@p1829 @p1818)) % 157.61/158.03 (step @p1831 :rule ho_cong :premises (@p1245 @p1828)) % 157.61/158.03 (step @p1832 :rule cong :premises (@p1831 @p1830) :args ((= (_ @t11 @t1003) @t1004))) % 157.61/158.03 (step @p1833 :rule symm :premises (@p1832)) % 157.61/158.03 (step @p1834 :rule refl :args (@t299)) % 157.61/158.03 (step @p1835 :rule eq_resolve :premises (@p1834 @p1833)) % 157.61/158.03 (step @p1836 :rule ho_cong :premises (@p1251 @p1826)) % 157.61/158.03 (step @p1837 :rule cong :premises (@p1836 @p1828) :args ((= (_ tptp.c_2Eoption_2ETHE_2E1 @t1002) @t1003))) % 157.61/158.03 (step @p1838 :rule symm :premises (@p1837)) % 157.61/158.03 (step @p1839 :rule refl :args (@t298)) % 157.61/158.03 (step @p1840 :rule eq_resolve :premises (@p1839 @p1838)) % 157.61/158.03 (step @p1841 :rule ho_cong :premises (@p175 @p1824)) % 157.61/158.03 (step @p1842 :rule cong :premises (@p1841 @p1826) :args ((= (_ @t468 @t1001) @t1002))) % 157.61/158.03 (step @p1843 :rule symm :premises (@p1842)) % 157.61/158.03 (step @p1844 :rule refl :args (@t297)) % 157.61/158.03 (step @p1845 :rule eq_resolve :premises (@p1844 @p1843)) % 157.61/158.03 (step @p1846 :rule ho_cong :premises (@p347 @p1822)) % 157.61/158.03 (step @p1847 :rule cong :premises (@p1846 @p1824) :args ((= (_ tptp.c_2Eoption_2ESOME_2E1 @t1000) @t1001))) % 157.61/158.03 (step @p1848 :rule symm :premises (@p1847)) % 157.61/158.03 (step @p1849 :rule refl :args (@t296)) % 157.61/158.03 (step @p1850 :rule eq_resolve :premises (@p1849 @p1848)) % 157.61/158.03 (step @p1851 :rule refl :args (@t295)) % 157.61/158.03 (step @p1852 :rule cong :premises (@p1851 @p1822) :args ((= @t295 @t1000))) % 157.61/158.03 (step @p1853 :rule symm :premises (@p1852)) % 157.61/158.03 (step @p1854 :rule eq_resolve :premises (@p1851 @p1853)) % 157.61/158.03 (step @p1855 :rule ho_cong :premises (@p347 @p1854)) % 157.61/158.03 (step @p1856 :rule trans :premises (@p1855 @p1850)) % 157.61/158.03 (step @p1857 :rule ho_cong :premises (@p185 @p1856)) % 157.61/158.03 (step @p1858 :rule trans :premises (@p1857 @p1845)) % 157.61/158.03 (step @p1859 :rule ho_cong :premises (@p1251 @p1858)) % 157.61/158.03 (step @p1860 :rule trans :premises (@p1859 @p1840)) % 157.61/158.03 (step @p1861 :rule ho_cong :premises (@p1245 @p1860)) % 157.61/158.03 (step @p1862 :rule trans :premises (@p1861 @p1835)) % 157.61/158.03 (step @p1863 :rule cong :premises (@p1854 @p1862) :args (@t1040)) % 157.61/158.03 (step @p1864 :rule cong :premises (@p1863) :args ((forall @t300 @t1040))) % 157.61/158.03 (step @p1865 :rule eq-symm :args (@t299 @t295)) % 157.61/158.03 (step @p1866 :rule cong :premises (@p1865) :args (@t301)) % 157.61/158.03 (step @p1867 :rule trans :premises (@p1866 @p1864)) % 157.61/158.03 (step @p1868 :rule eq-symm :args (@t1007 @t1008)) % 157.61/158.03 (step @p1869 :rule refl :args (@t1013)) % 157.61/158.03 (step @p1870 :rule cong :premises (@p1869 @p1868) :args (@t1041)) % 157.61/158.03 (step @p1871 :rule cong :premises (@p1870) :args ((forall @t312 @t1041))) % 157.61/158.03 (step @p1872 :rule refl :args (@t1008)) % 157.61/158.03 (step @p1873 :rule refl :args (@t305)) % 157.61/158.03 (step @p1874 :rule cong :premises (@p1873 @p1872) :args ((= @t305 @t1008))) % 157.61/158.03 (step @p1875 :rule symm :premises (@p1874)) % 157.61/158.03 (step @p1876 :rule eq_resolve :premises (@p1873 @p1875)) % 157.61/158.03 (step @p1877 :rule refl :args (@t1007)) % 157.61/158.03 (step @p1878 :rule refl :args (@t303)) % 157.61/158.03 (step @p1879 :rule cong :premises (@p1878 @p1877) :args ((= @t303 @t1007))) % 157.61/158.03 (step @p1880 :rule symm :premises (@p1879)) % 157.61/158.03 (step @p1881 :rule eq_resolve :premises (@p1878 @p1880)) % 157.61/158.03 (step @p1882 :rule cong :premises (@p1881 @p1876) :args (@t1042)) % 157.61/158.03 (step @p1883 :rule refl :args ((tptp.s @t72 @t306))) % 157.61/158.03 (step @p1884 :rule refl :args ((tptp.c_2Eoption_2ESOME_2E1 @t303))) % 157.61/158.03 (step @p1885 :rule cong :premises (@p1877) :args (@t1009)) % 157.61/158.03 (step @p1886 :rule trans :premises (@p1885 @p1884)) % 157.61/158.03 (step @p1887 :rule cong :premises (@p172 @p1886) :args (@t1010)) % 157.61/158.03 (step @p1888 :rule trans :premises (@p1887 @p1883)) % 157.61/158.03 (step @p1889 :rule ho_cong :premises (@p175 @p1886)) % 157.61/158.03 (step @p1890 :rule cong :premises (@p1889 @p1888) :args ((= (_ @t468 @t1009) @t1010))) % 157.61/158.03 (step @p1891 :rule symm :premises (@p1890)) % 157.61/158.03 (step @p1892 :rule refl :args (@t307)) % 157.61/158.03 (step @p1893 :rule eq_resolve :premises (@p1892 @p1891)) % 157.61/158.03 (step @p1894 :rule ho_cong :premises (@p347 @p1877)) % 157.61/158.03 (step @p1895 :rule cong :premises (@p1894 @p1886) :args ((= (_ tptp.c_2Eoption_2ESOME_2E1 @t1007) @t1009))) % 157.61/158.03 (step @p1896 :rule symm :premises (@p1895)) % 157.61/158.03 (step @p1897 :rule refl :args (@t306)) % 157.61/158.03 (step @p1898 :rule eq_resolve :premises (@p1897 @p1896)) % 157.61/158.03 (step @p1899 :rule ho_cong :premises (@p347 @p1881)) % 157.61/158.03 (step @p1900 :rule trans :premises (@p1899 @p1898)) % 157.61/158.03 (step @p1901 :rule ho_cong :premises (@p185 @p1900)) % 157.61/158.03 (step @p1902 :rule trans :premises (@p1901 @p1893)) % 157.61/158.03 (step @p1903 :rule refl :args ((tptp.s @t72 @t308))) % 157.61/158.03 (step @p1904 :rule refl :args ((tptp.c_2Eoption_2ESOME_2E1 @t305))) % 157.61/158.03 (step @p1905 :rule cong :premises (@p1872) :args (@t1011)) % 157.61/158.03 (step @p1906 :rule trans :premises (@p1905 @p1904)) % 157.61/158.03 (step @p1907 :rule cong :premises (@p172 @p1906) :args (@t1012)) % 157.61/158.03 (step @p1908 :rule trans :premises (@p1907 @p1903)) % 157.61/158.03 (step @p1909 :rule ho_cong :premises (@p175 @p1906)) % 157.61/158.03 (step @p1910 :rule cong :premises (@p1909 @p1908) :args ((= (_ @t468 @t1011) @t1012))) % 157.61/158.03 (step @p1911 :rule symm :premises (@p1910)) % 157.61/158.03 (step @p1912 :rule refl :args (@t309)) % 157.61/158.03 (step @p1913 :rule eq_resolve :premises (@p1912 @p1911)) % 157.61/158.03 (step @p1914 :rule ho_cong :premises (@p347 @p1872)) % 157.61/158.03 (step @p1915 :rule cong :premises (@p1914 @p1906) :args ((= (_ tptp.c_2Eoption_2ESOME_2E1 @t1008) @t1011))) % 157.61/158.03 (step @p1916 :rule symm :premises (@p1915)) % 157.61/158.03 (step @p1917 :rule refl :args (@t308)) % 157.61/158.03 (step @p1918 :rule eq_resolve :premises (@p1917 @p1916)) % 157.61/158.03 (step @p1919 :rule ho_cong :premises (@p347 @p1876)) % 157.61/158.03 (step @p1920 :rule trans :premises (@p1919 @p1918)) % 157.61/158.03 (step @p1921 :rule ho_cong :premises (@p185 @p1920)) % 157.61/158.03 (step @p1922 :rule trans :premises (@p1921 @p1913)) % 157.61/158.03 (step @p1923 :rule cong :premises (@p1922 @p1902) :args (@t310)) % 157.61/158.03 (step @p1924 :rule cong :premises (@p1923 @p1882) :args (@t1043)) % 157.61/158.03 (step @p1925 :rule cong :premises (@p1924) :args ((forall @t312 @t1043))) % 157.61/158.03 (step @p1926 :rule trans :premises (@p1925 @p1871)) % 157.61/158.03 (step @p1927 :rule eq-symm :args (@t305 @t303)) % 157.61/158.03 (step @p1928 :rule refl :args (@t310)) % 157.61/158.03 (step @p1929 :rule cong :premises (@p1928 @p1927) :args (@t311)) % 157.61/158.03 (step @p1930 :rule cong :premises (@p1929) :args (@t313)) % 157.61/158.03 (step @p1931 :rule trans :premises (@p1930 @p1926)) % 157.61/158.03 (step @p1932 :rule nary_cong :premises (@p1931 @p1867 @p1817 @p1789 @p1757 @p1696 @p1695 @p1646 @p1596 @p1503 @p1463 @p1423 @p1345 @p1213 @p1102 @p1057 @p967 @p863 @p820 @p819) :args (@t314)) % 157.61/158.03 (step @p1933 :rule cong :premises (@p1932) :args (@t316)) % 157.61/158.03 (step @p1934 :rule trans :premises (@p1933 @p751)) % 157.61/158.03 (step @p1935 :rule trans :premises (@p1934 @p544 @p480 @p479)) % 157.61/158.03 (step @p1936 :rule eq_resolve :premises (@p46 @p1935)) % 157.61/158.03 (step @p1937 :rule and_elim :premises (@p1936) :args (2)) % 157.61/158.03 (step @p1938 :rule eq-symm :args (@t1046 @t398)) % 157.61/158.03 (step @p1939 :rule cong :premises (@p1938) :args (@t1047)) % 157.61/158.03 (step @p1940 :rule refl :args (@t1048)) % 157.61/158.03 (step @p1941 :rule cong :premises (@p1940 @p1939) :args ((=> @t1048 @t1047))) % 157.61/158.03 (assume-push @p3021 @t1048) % 157.61/158.03 (step @p1943 :rule instantiate :premises (@p1937) :args ((@list @t395 @t1044))) % 157.61/158.03 (step-pop @p3022 :rule scope :premises (@p1943)) % 157.61/158.03 (step @p1944 :rule process_scope :premises (@p3022) :args (@t1047)) % 157.61/158.03 (step @p1946 :rule eq_resolve :premises (@p1944 @p1941)) % 157.61/158.03 (step @p1947 :rule implies_elim :premises (@p1946)) % 157.61/158.03 (step @p1948 :rule chain_m_resolution :premises (@p1947 @p1937) :args (@t1050 @t415 @t1051)) % 157.61/158.03 (step @p1949 :rule bool-double-not-elim :args (@t1049)) % 157.61/158.03 (step @p1950 :rule refl :args (@t1053)) % 157.61/158.03 (step @p1951 :rule nary_cong :premises (@p1950 @p1949) :args ((or @t1053 (not @t1050)))) % 157.61/158.03 (step @p1952 :rule cnf_or_neg :args (@t1053 1)) % 157.61/158.03 (step @p1953 :rule eq_resolve :premises (@p1952 @p1951)) % 157.61/158.03 (step @p1954 :rule reordering :premises (@p1953) :args ((or @t1049 @t1053))) % 157.61/158.03 (step @p1955 :rule chain_m_resolution :premises (@p1954 @p1948) :args (@t1053 @t1054 (@list @t1049))) % 157.61/158.03 (step @p1956 :rule refl :args (@t1055)) % 157.61/158.03 (step @p1957 :rule bool-double-not-elim :args (@t496)) % 157.61/158.03 (step @p1958 :rule nary_cong :premises (@p1957 @p1956) :args ((or (not @t497) @t1055))) % 157.61/158.03 (assume-push @p3023 @t497) % 157.61/158.03 (step @p1960 :rule skolemize :premises (@p3023)) % 157.61/158.03 (step-pop @p3024 :rule scope :premises (@p1960)) % 157.61/158.03 (step @p1961 :rule process_scope :premises (@p3024) :args (@t1055)) % 157.61/158.03 (step @p1963 :rule implies_elim :premises (@p1961)) % 157.61/158.03 (step @p1964 :rule eq_resolve :premises (@p1963 @p1958)) % 157.61/158.03 (step @p1965 :rule chain_m_resolution :premises (@p1964 @p1955) :args (@t496 @t415 (@list @t1053))) % 157.61/158.03 (step @p1966 :rule instantiate :premises (@p1937) :args ((@list @t395 @t399))) % 157.61/158.03 (step @p1967 :rule cnf_or_pos :args (@t498)) % 157.61/158.03 (step @p1968 :rule reordering :premises (@p1967) :args ((or @t491 @t497 @t1056))) % 157.61/158.03 (step @p1969 :rule chain_m_resolution :premises (@p1968 @p1966 @p1965) :args (@t1056 @t1057 (@list @t491 @t496))) % 157.61/158.03 (step @p1970 :rule cnf_equiv_pos1 :args (@t499)) % 157.61/158.03 (step @p1971 :rule reordering :premises (@p1970) :args ((or @t1058 @t498 (not @t499)))) % 157.61/158.03 (step @p1972 :rule chain_m_resolution :premises (@p1971 @p1969 @p428) :args (@t1058 @t1057 (@list @t498 @t499))) % 157.61/158.03 (step @p1973 :rule equiv_elim2 :premises (@p102)) % 157.61/158.03 (step @p1974 :rule chain_m_resolution :premises (@p1973 @p1972) :args (@t1059 @t1054 @t1060)) % 157.61/158.03 (step @p1975 :rule eq-symm :args (@t1062 @t1063)) % 157.61/158.03 (step @p1976 :rule cong :premises (@p1975) :args (@t1064)) % 157.61/158.03 ; trust TRUST PREPROCESS_HO_ELIM % 157.61/158.03 (step @p1977 :rule trust :premises () :args ((= (forall @t66 (= @t1073 @t1070)) @t1064))) % 157.61/158.03 (step @p1978 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t80))) % 157.61/158.03 (step @p1979 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t79))) % 157.61/158.03 (step @p1980 :rule refl :args ((tptp.app_2E2 @t78 @t74))) % 157.61/158.03 (step @p1981 :rule refl :args ((tptp.s @t72 @t63))) % 157.61/158.03 (step @p1982 :rule refl :args (@t63)) % 157.61/158.03 (step @p1983 :rule cong :premises (@p172 @p1982) :args (@t1065)) % 157.61/158.03 (step @p1984 :rule trans :premises (@p1983 @p1981)) % 157.61/158.03 (step @p1985 :rule refl :args ((tptp.s @t76 tptp.c_2Eoption_2EIS__NONE_2E0))) % 157.61/158.03 (step @p1986 :rule refl :args (tptp.c_2Eoption_2EIS__NONE_2E0)) % 157.61/158.03 (step @p1987 :rule refl :args ((tptp.tyop_2Emin_2Efun @t72 tptp.tyop_2Emin_2Ebool))) % 157.61/158.03 (step @p1988 :rule cong :premises (@p172 @p59) :args (@t1066)) % 157.61/158.03 (step @p1989 :rule trans :premises (@p1988 @p1987)) % 157.61/158.03 (step @p1990 :rule cong :premises (@p1989 @p1986) :args (@t1067)) % 157.61/158.03 (step @p1991 :rule trans :premises (@p1990 @p1985)) % 157.61/158.03 (step @p1992 :rule cong :premises (@p1991 @p1984) :args (@t1068)) % 157.61/158.03 (step @p1993 :rule trans :premises (@p1992 @p1980)) % 157.61/158.03 (step @p1994 :rule cong :premises (@p59 @p1993) :args (@t1069)) % 157.61/158.03 (step @p1995 :rule trans :premises (@p1994 @p1979)) % 157.61/158.03 (step @p1996 :rule cong :premises (@p1995) :args (@t1070)) % 157.61/158.03 (step @p1997 :rule trans :premises (@p1996 @p1978)) % 157.61/158.03 (step @p1998 :rule ho_cong :premises (@p74 @p1995)) % 157.61/158.03 (step @p1999 :rule cong :premises (@p1998 @p1997) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t1069) @t1070))) % 157.61/158.03 (step @p2000 :rule symm :premises (@p1999)) % 157.61/158.03 (step @p2001 :rule refl :args (@t81)) % 157.61/158.03 (step @p2002 :rule eq_resolve :premises (@p2001 @p2000)) % 157.61/158.03 (step @p2003 :rule ho_cong :premises (@p62 @p1993)) % 157.61/158.03 (step @p2004 :rule cong :premises (@p2003 @p1995) :args ((= (_ @t38 @t1068) @t1069))) % 157.61/158.03 (step @p2005 :rule symm :premises (@p2004)) % 157.61/158.03 (step @p2006 :rule refl :args (@t80)) % 157.61/158.03 (step @p2007 :rule eq_resolve :premises (@p2006 @p2005)) % 157.61/158.03 (step @p2008 :rule ho_cong :premises (@p295 @p1991)) % 157.61/158.03 (step @p2009 :rule ho_cong :premises (@p2008 @p1984)) % 157.61/158.03 (step @p2010 :rule cong :premises (@p2009 @p1993) :args ((= (_ (_ tptp.app_2E2 @t1067) @t1065) @t1068))) % 157.61/158.03 (step @p2011 :rule symm :premises (@p2010)) % 157.61/158.03 (step @p2012 :rule refl :args (@t79)) % 157.61/158.03 (step @p2013 :rule eq_resolve :premises (@p2012 @p2011)) % 157.61/158.03 (step @p2014 :rule ho_cong :premises (@p175 @p1982)) % 157.61/158.03 (step @p2015 :rule cong :premises (@p2014 @p1984) :args ((= (_ @t468 @t63) @t1065))) % 157.61/158.03 (step @p2016 :rule symm :premises (@p2015)) % 157.61/158.03 (step @p2017 :rule refl :args (@t74)) % 157.61/158.03 (step @p2018 :rule eq_resolve :premises (@p2017 @p2016)) % 157.61/158.03 (step @p2019 :rule ho_cong :premises (@p185 @p1982)) % 157.61/158.03 (step @p2020 :rule trans :premises (@p2019 @p2018)) % 157.61/158.03 (step @p2021 :rule ho_cong :premises (@p144 @p1989)) % 157.61/158.03 (step @p2022 :rule ho_cong :premises (@p2021 @p1986)) % 157.61/158.03 (step @p2023 :rule cong :premises (@p2022 @p1991) :args ((= (_ (_ tptp.s @t1066) tptp.c_2Eoption_2EIS__NONE_2E0) @t1067))) % 157.61/158.03 (step @p2024 :rule symm :premises (@p2023)) % 157.61/158.03 (step @p2025 :rule refl :args (@t78)) % 157.61/158.03 (step @p2026 :rule eq_resolve :premises (@p2025 @p2024)) % 157.61/158.03 (step @p2027 :rule refl :args (tptp.tyop_2Emin_2Efun)) % 157.61/158.03 (step @p2028 :rule ho_cong :premises (@p2027 @p172)) % 157.61/158.03 (step @p2029 :rule ho_cong :premises (@p2028 @p59)) % 157.61/158.03 (step @p2030 :rule cong :premises (@p2029 @p1989) :args ((= (_ (_ tptp.tyop_2Emin_2Efun @t457) tptp.tyop_2Emin_2Ebool) @t1066))) % 157.61/158.03 (step @p2031 :rule symm :premises (@p2030)) % 157.61/158.03 (step @p2032 :rule refl :args (@t76)) % 157.61/158.03 (step @p2033 :rule eq_resolve :premises (@p2032 @p2031)) % 157.61/158.03 (step @p2034 :rule ho_cong :premises (@p2027 @p184)) % 157.61/158.03 (step @p2035 :rule ho_cong :premises (@p2034 @p59)) % 157.61/158.03 (step @p2036 :rule trans :premises (@p2035 @p2033)) % 157.61/158.03 (step @p2037 :rule ho_cong :premises (@p144 @p2036)) % 157.61/158.03 (step @p2038 :rule ho_cong :premises (@p2037 @p1986)) % 157.61/158.03 (step @p2039 :rule trans :premises (@p2038 @p2026)) % 157.61/158.03 (step @p2040 :rule ho_cong :premises (@p295 @p2039)) % 157.61/158.03 (step @p2041 :rule ho_cong :premises (@p2040 @p2020)) % 157.61/158.03 (step @p2042 :rule trans :premises (@p2041 @p2013)) % 157.61/158.03 (step @p2043 :rule ho_cong :premises (@p62 @p2042)) % 157.61/158.03 (step @p2044 :rule trans :premises (@p2043 @p2007)) % 157.61/158.03 (step @p2045 :rule ho_cong :premises (@p74 @p2044)) % 157.61/158.03 (step @p2046 :rule trans :premises (@p2045 @p2002)) % 157.61/158.03 (step @p2047 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t83))) % 157.61/158.03 (step @p2048 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t82))) % 157.61/158.03 (step @p2049 :rule refl :args ((tptp.c_2Eoption_2EIS__NONE_2E1 @t74))) % 157.61/158.03 (step @p2050 :rule cong :premises (@p1984) :args (@t1071)) % 157.61/158.03 (step @p2051 :rule trans :premises (@p2050 @p2049)) % 157.61/158.03 (step @p2052 :rule cong :premises (@p59 @p2051) :args (@t1072)) % 157.61/158.03 (step @p2053 :rule trans :premises (@p2052 @p2048)) % 157.61/158.03 (step @p2054 :rule cong :premises (@p2053) :args (@t1073)) % 157.61/158.03 (step @p2055 :rule trans :premises (@p2054 @p2047)) % 157.61/158.03 (step @p2056 :rule ho_cong :premises (@p74 @p2053)) % 157.61/158.03 (step @p2057 :rule cong :premises (@p2056 @p2055) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t1072) @t1073))) % 157.61/158.03 (step @p2058 :rule symm :premises (@p2057)) % 157.61/158.03 (step @p2059 :rule refl :args (@t84)) % 157.61/158.03 (step @p2060 :rule eq_resolve :premises (@p2059 @p2058)) % 157.61/158.03 (step @p2061 :rule ho_cong :premises (@p62 @p2051)) % 157.61/158.03 (step @p2062 :rule cong :premises (@p2061 @p2053) :args ((= (_ @t38 @t1071) @t1072))) % 157.61/158.03 (step @p2063 :rule symm :premises (@p2062)) % 157.61/158.03 (step @p2064 :rule refl :args (@t83)) % 157.61/158.03 (step @p2065 :rule eq_resolve :premises (@p2064 @p2063)) % 157.61/158.03 (step @p2066 :rule ho_cong :premises (@p1401 @p1984)) % 157.61/158.03 (step @p2067 :rule cong :premises (@p2066 @p2051) :args ((= (_ tptp.c_2Eoption_2EIS__NONE_2E1 @t1065) @t1071))) % 157.61/158.03 (step @p2068 :rule symm :premises (@p2067)) % 157.61/158.03 (step @p2069 :rule refl :args (@t82)) % 157.61/158.03 (step @p2070 :rule eq_resolve :premises (@p2069 @p2068)) % 157.61/158.03 (step @p2071 :rule ho_cong :premises (@p1401 @p2020)) % 157.61/158.03 (step @p2072 :rule trans :premises (@p2071 @p2070)) % 157.61/158.03 (step @p2073 :rule ho_cong :premises (@p62 @p2072)) % 157.61/158.03 (step @p2074 :rule trans :premises (@p2073 @p2065)) % 157.61/158.03 (step @p2075 :rule ho_cong :premises (@p74 @p2074)) % 157.61/158.03 (step @p2076 :rule trans :premises (@p2075 @p2060)) % 157.61/158.03 (step @p2077 :rule cong :premises (@p2076 @p2046) :args (@t85)) % 157.61/158.03 (step @p2078 :rule cong :premises (@p2077) :args (@t86)) % 157.61/158.03 (step @p2079 :rule trans :premises (@p2078 @p1977 @p1976)) % 157.61/158.03 (step @p2080 :rule eq_resolve :premises (@p21 @p2079)) % 157.61/158.03 (step @p2081 :rule instantiate :premises (@p2080) :args (@t1074)) % 157.61/158.03 (step @p2082 :rule and_elim :premises (@p1936) :args (6)) % 157.61/158.03 (step @p2083 :rule refl :args (@t1075)) % 157.61/158.03 (step @p2084 :rule eq-symm :args (@t398 @t402)) % 157.61/158.03 (step @p2085 :rule cong :premises (@p2084 @p2083) :args ((= @t1076 @t1075))) % 157.61/158.03 (step @p2086 :rule eq-symm :args (@t1075 @t1076)) % 157.61/158.03 (step @p2087 :rule trans :premises (@p2086 @p2085)) % 157.61/158.03 (step @p2088 :rule refl :args (@t1077)) % 157.61/158.03 (step @p2089 :rule cong :premises (@p2088 @p2087) :args ((=> @t1077 @t1078))) % 157.61/158.03 (assume-push @p3025 @t1077) % 157.61/158.03 (step @p2091 :rule instantiate :premises (@p2082) :args (@t1074)) % 157.61/158.03 (step-pop @p3026 :rule scope :premises (@p2091)) % 157.61/158.03 (step @p2092 :rule process_scope :premises (@p3026) :args (@t1078)) % 157.61/158.03 (step @p2094 :rule eq_resolve :premises (@p2092 @p2089)) % 157.61/158.03 (step @p2095 :rule implies_elim :premises (@p2094)) % 157.61/158.03 (step @p2096 :rule chain_m_resolution :premises (@p2095 @p2082) :args (@t1079 @t415 (@list @t1077))) % 157.61/158.03 (step @p2097 :rule cnf_equiv_pos2 :args (@t1079)) % 157.61/158.03 (step @p2098 :rule reordering :premises (@p2097) :args ((or @t491 @t1080 (not @t1079)))) % 157.61/158.03 (step @p2099 :rule chain_m_resolution :premises (@p2098 @p1966 @p2096) :args (@t1080 @t1057 (@list @t491 @t1079))) % 157.61/158.03 (step @p2100 :rule cnf_equiv_pos1 :args (@t1082)) % 157.61/158.03 (step @p2101 :rule reordering :premises (@p2100) :args ((or @t1075 @t1083 (not @t1082)))) % 157.61/158.03 (step @p2102 :rule chain_m_resolution :premises (@p2101 @p2099 @p2081) :args (@t1083 @t1057 (@list @t1075 @t1082))) % 157.61/158.03 (step @p2103 :rule skolem_intro :args (@t1084)) % 157.61/158.03 (step @p2104 :rule symm :premises (@p2103)) % 157.61/158.03 (step @p2105 :rule equiv_elim2 :premises (@p2104)) % 157.61/158.03 (step @p2106 :rule chain_m_resolution :premises (@p2105 @p2102) :args (@t1085 @t1054 (@list @t1081))) % 157.61/158.03 (step @p2107 :rule eq-refl :args (@t1115)) % 157.61/158.03 (step @p2108 :rule skolem_intro :args (@t1116)) % 157.61/158.03 (step @p2109 :rule refl :args (@t1115)) % 157.61/158.03 (step @p2110 :rule cong :premises (@p2109 @p2108) :args ((= @t1115 @t1116))) % 157.61/158.03 (step @p2111 :rule trans :premises (@p2110 @p2107)) % 157.61/158.03 (step @p2112 :rule true_elim :premises (@p2111)) % 157.61/158.03 (step @p2113 :rule cong :premises (@p103 @p2112) :args (@t1117)) % 157.61/158.03 (step @p2114 :rule cong :premises (@p105 @p2113) :args (@t1118)) % 157.61/158.03 (step @p2115 :rule refl :args (@t1114)) % 157.61/158.03 (step @p2116 :rule cong :premises (@p2115 @p2114) :args (@t1119)) % 157.61/158.03 (step @p2117 :rule cong :premises (@p109 @p2116) :args ((=> @t373 @t1119))) % 157.61/158.03 (assume-push @p3027 @t373) % 157.61/158.03 (step @p2119 :rule instantiate :premises (@p96) :args ((@list @t1113))) % 157.61/158.03 (step-pop @p3028 :rule scope :premises (@p2119)) % 157.61/158.03 (step @p2120 :rule process_scope :premises (@p3028) :args (@t1119)) % 157.61/158.03 (step @p2122 :rule eq_resolve :premises (@p2120 @p2117)) % 157.61/158.03 (step @p2123 :rule implies_elim :premises (@p2122)) % 157.61/158.03 (step @p2124 :rule chain_m_resolution :premises (@p2123 @p96) :args (@t1122 @t415 @t416)) % 157.61/158.03 (step @p2125 :rule and_elim :premises (@p1936) :args (1)) % 157.61/158.03 (step @p2126 :rule instantiate :premises (@p2125) :args (@t1123)) % 157.61/158.03 (step @p2127 :rule instantiate :premises (@p2125) :args ((@list @t1102 @t1101))) % 157.61/158.03 (step @p2128 :rule refl :args (@t1141)) % 157.61/158.03 (step @p2129 :rule eq-symm :args (@t1143 @t1146)) % 157.61/158.03 (step @p2130 :rule cong :premises (@p2129) :args (@t1147)) % 157.61/158.03 (step @p2131 :rule eq-symm :args (@t1148 @t1149)) % 157.61/158.03 (step @p2132 :rule cong :premises (@p2131) :args (@t1150)) % 157.61/158.03 (step @p2133 :rule nary_cong :premises (@p2132 @p2130 @p2128) :args (@t1151)) % 157.61/158.03 (step @p2134 :rule cong :premises (@p2133) :args (@t1152)) % 157.61/158.03 (step @p2135 :rule cong :premises (@p2134) :args (@t1153)) % 157.61/158.03 (step @p2136 :rule aci_norm :args ((= (and true @t1154) @t1154))) % 157.61/158.03 (step @p2137 :rule eq-symm :args (@t1146 @t1149)) % 157.61/158.03 (step @p2138 :rule eq-refl :args (@t1149)) % 157.61/158.03 (step @p2139 :rule nary_cong :premises (@p2138 @p2137) :args (@t1156)) % 157.61/158.03 (step @p2140 :rule trans :premises (@p2139 @p2136)) % 157.61/158.03 (step @p2141 :rule nary_cong :premises (@p2140 @p2135) :args (@t1157)) % 157.61/158.03 (step @p2142 :rule refl :args (@t1158)) % 157.61/158.03 (step @p2143 :rule cong :premises (@p2142 @p2141) :args (@t1159)) % 157.61/158.03 (step @p2144 :rule cong :premises (@p420 @p2143) :args ((=> @t495 @t1159))) % 157.61/158.03 (assume-push @p3029 @t495) % 157.61/158.03 (step @p2146 :rule instantiate :premises (@p404) :args ((@list @t1131 @t1131 @t1135 tptp.c_2Eoption_2ENONE_2E0 @t1145))) % 157.61/158.03 (step-pop @p3030 :rule scope :premises (@p2146)) % 157.61/158.03 (step @p2147 :rule process_scope :premises (@p3030) :args (@t1159)) % 157.61/158.03 (step @p2149 :rule eq_resolve :premises (@p2147 @p2144)) % 157.61/158.03 (step @p2150 :rule implies_elim :premises (@p2149)) % 157.61/158.03 (step @p2151 :rule chain_m_resolution :premises (@p2150 @p404) :args (@t1163 @t415 @t500)) % 157.61/158.03 (step @p2152 :rule eq-symm :args (@t1166 @t1149)) % 157.61/158.03 (step @p2153 :rule cong :premises (@p2152) :args (@t1167)) % 157.61/158.03 (step @p2154 :rule cong :premises (@p1940 @p2153) :args ((=> @t1048 @t1167))) % 157.61/158.03 (assume-push @p3031 @t1048) % 157.61/158.03 (step @p2156 :rule instantiate :premises (@p1937) :args ((@list @t1131 @t1164))) % 157.61/158.03 (step-pop @p3032 :rule scope :premises (@p2156)) % 157.61/158.03 (step @p2157 :rule process_scope :premises (@p3032) :args (@t1167)) % 157.61/158.03 (step @p2159 :rule eq_resolve :premises (@p2157 @p2154)) % 157.61/158.03 (step @p2160 :rule implies_elim :premises (@p2159)) % 157.61/158.03 (step @p2161 :rule chain_m_resolution :premises (@p2160 @p1937) :args (@t1169 @t415 @t1051)) % 157.61/158.03 (step @p2162 :rule bool-double-not-elim :args (@t1168)) % 157.61/158.03 (step @p2163 :rule refl :args (@t1171)) % 157.61/158.03 (step @p2164 :rule nary_cong :premises (@p2163 @p2162) :args ((or @t1171 (not @t1169)))) % 157.61/158.03 (step @p2165 :rule cnf_or_neg :args (@t1171 0)) % 157.61/158.03 (step @p2166 :rule eq_resolve :premises (@p2165 @p2164)) % 157.61/158.03 (step @p2167 :rule reordering :premises (@p2166) :args ((or @t1168 @t1171))) % 157.61/158.03 (step @p2168 :rule chain_m_resolution :premises (@p2167 @p2161) :args (@t1171 @t1054 (@list @t1168))) % 157.61/158.03 (step @p2169 :rule refl :args (@t1172)) % 157.61/158.03 (step @p2170 :rule bool-double-not-elim :args (@t1160)) % 157.61/158.03 (step @p2171 :rule nary_cong :premises (@p2170 @p2169) :args ((or (not @t1161) @t1172))) % 157.61/158.03 (assume-push @p3033 @t1161) % 157.61/158.03 (step @p2173 :rule skolemize :premises (@p3033)) % 157.61/158.03 (step-pop @p3034 :rule scope :premises (@p2173)) % 157.61/158.03 (step @p2174 :rule process_scope :premises (@p3034) :args (@t1172)) % 157.61/158.03 (step @p2176 :rule implies_elim :premises (@p2174)) % 157.61/158.03 (step @p2177 :rule eq_resolve :premises (@p2176 @p2171)) % 157.61/158.03 (step @p2178 :rule chain_m_resolution :premises (@p2177 @p2168) :args (@t1160 @t415 (@list @t1171))) % 157.61/158.03 (step @p2179 :rule cong :premises (@p2137) :args (@t1173)) % 157.61/158.03 (step @p2180 :rule cong :premises (@p1940 @p2179) :args ((=> @t1048 @t1173))) % 157.61/158.03 (assume-push @p3035 @t1048) % 157.61/158.03 (step @p2182 :rule instantiate :premises (@p1937) :args ((@list @t1131 @t1144))) % 157.61/158.03 (step-pop @p3036 :rule scope :premises (@p2182)) % 157.61/158.03 (step @p2183 :rule process_scope :premises (@p3036) :args (@t1173)) % 157.61/158.03 (step @p2185 :rule eq_resolve :premises (@p2183 @p2180)) % 150.71/158.03 (step @p2186 :rule implies_elim :premises (@p2185)) % 150.71/158.03 (step @p2187 :rule chain_m_resolution :premises (@p2186 @p1937) :args ((not @t1154) @t415 @t1051)) % 150.71/158.03 (step @p2188 :rule cnf_or_pos :args (@t1162)) % 150.71/158.03 (step @p2189 :rule reordering :premises (@p2188) :args ((or @t1154 @t1161 @t1174))) % 150.71/158.03 (step @p2190 :rule chain_m_resolution :premises (@p2189 @p2187 @p2178) :args (@t1174 @t1057 (@list @t1154 @t1160))) % 150.71/158.03 (step @p2191 :rule cnf_equiv_pos1 :args (@t1163)) % 150.71/158.03 (step @p2192 :rule reordering :premises (@p2191) :args ((or @t1175 @t1162 (not @t1163)))) % 150.71/158.03 (step @p2193 :rule chain_m_resolution :premises (@p2192 @p2190 @p2151) :args (@t1175 @t1057 (@list @t1162 @t1163))) % 150.71/158.03 (step @p2194 :rule bool-double-not-elim :args (@t1130)) % 150.71/158.03 (step @p2195 :rule nary_cong :premises (@p2194 @p2142) :args ((or (not @t1176) @t1158))) % 150.71/158.03 (step @p2196 :rule bool-double-not-elim :args (@t1158)) % 150.71/158.03 (step @p2197 :rule refl :args (@t1176)) % 150.71/158.03 (step @p2198 :rule cong :premises (@p2197 @p2196) :args ((=> @t1176 @t1177))) % 150.71/158.03 (assume-push @p3037 @t1176) % 150.71/158.03 (step @p2200 :rule skolemize :premises (@p3037)) % 150.71/158.03 (step-pop @p3038 :rule scope :premises (@p2200)) % 150.71/158.03 (step @p2201 :rule process_scope :premises (@p3038) :args (@t1177)) % 150.71/158.03 (step @p2203 :rule eq_resolve :premises (@p2201 @p2198)) % 150.71/158.03 (step @p2204 :rule implies_elim :premises (@p2203)) % 150.71/158.03 (step @p2205 :rule eq_resolve :premises (@p2204 @p2195)) % 150.71/158.03 (step @p2206 :rule chain_m_resolution :premises (@p2205 @p2193) :args (@t1130 @t1054 (@list @t1158))) % 150.71/158.03 (step @p2207 :rule bool-double-not-elim :args (@t394)) % 150.71/158.03 (step @p2208 :rule nary_cong :premises (@p2207 @p99) :args ((or (not @t1178) @t409))) % 150.71/158.03 (step @p2209 :rule bool-double-not-elim :args (@t409)) % 150.71/158.03 (step @p2210 :rule refl :args (@t1178)) % 150.71/158.03 (step @p2211 :rule cong :premises (@p2210 @p2209) :args ((=> @t1178 @t1179))) % 150.71/158.03 (assume-push @p3039 @t1178) % 150.71/158.03 (step @p2213 :rule skolemize :premises (@p3039)) % 150.71/158.03 (step-pop @p3040 :rule scope :premises (@p2213)) % 150.71/158.03 (step @p2214 :rule process_scope :premises (@p3040) :args (@t1179)) % 150.71/158.03 (step @p2216 :rule eq_resolve :premises (@p2214 @p2211)) % 150.71/158.03 (step @p2217 :rule implies_elim :premises (@p2216)) % 150.71/158.03 (step @p2218 :rule eq_resolve :premises (@p2217 @p2208)) % 150.71/158.03 (step @p2219 :rule chain_m_resolution :premises (@p2218 @p1972) :args (@t394 @t1054 @t1060)) % 150.71/158.03 (step @p2220 :rule bool-eq-true :args (@t1193)) % 150.71/158.03 (step @p2221 :rule absorb :args ((= (or true (not (forall @t338 (or (not (= @t1188 @t1199)) (not (= @t1188 @t1198)) @t1197)))) true))) % 150.71/158.03 (step @p2222 :rule refl :args (@t1197)) % 150.71/158.03 (step @p2223 :rule eq-symm :args (@t1198 @t1188)) % 150.71/158.03 (step @p2224 :rule cong :premises (@p2223) :args (@t1200)) % 150.71/158.03 (step @p2225 :rule eq-symm :args (@t1199 @t1188)) % 150.71/158.03 (step @p2226 :rule cong :premises (@p2225) :args (@t1201)) % 150.71/158.03 (step @p2227 :rule nary_cong :premises (@p2226 @p2224 @p2222) :args (@t1202)) % 150.71/158.03 (step @p2228 :rule cong :premises (@p2227) :args (@t1203)) % 150.71/158.03 (step @p2229 :rule cong :premises (@p2228) :args (@t1204)) % 150.71/158.03 (step @p2230 :rule eq-refl :args (@t1188)) % 150.71/158.03 (step @p2231 :rule aci_norm :args ((= @t1206 @t1205))) % 150.71/158.03 (step @p2232 :rule trans :premises (@p2231 @p2230)) % 150.71/158.03 (step @p2233 :rule nary_cong :premises (@p2232 @p2229) :args (@t1207)) % 150.71/158.03 (step @p2234 :rule trans :premises (@p2233 @p2221)) % 150.71/158.03 (step @p2235 :rule refl :args (@t1193)) % 150.71/158.03 (step @p2236 :rule cong :premises (@p2235 @p2234) :args (@t1208)) % 150.71/158.03 (step @p2237 :rule trans :premises (@p2236 @p2220)) % 150.71/158.03 (step @p2238 :rule cong :premises (@p420 @p2237) :args ((=> @t495 @t1208))) % 150.71/158.03 (assume-push @p3041 @t495) % 150.71/158.03 (step @p2240 :rule instantiate :premises (@p404) :args ((@list @t1186 @t1186 @t1189 tptp.c_2Eoption_2ENONE_2E0 tptp.c_2Eoption_2ENONE_2E0))) % 150.71/158.03 (step-pop @p3042 :rule scope :premises (@p2240)) % 150.71/158.03 (step @p2241 :rule process_scope :premises (@p3042) :args (@t1208)) % 150.71/158.03 (step @p2243 :rule eq_resolve :premises (@p2241 @p2238)) % 150.71/158.03 (step @p2244 :rule implies_elim :premises (@p2243)) % 150.71/158.03 (step @p2245 :rule chain_m_resolution :premises (@p2244 @p404) :args (@t1193 @t415 @t500)) % 150.71/158.03 (step @p2246 :rule refl :args (@t1209)) % 150.71/158.03 (step @p2247 :rule bool-double-not-elim :args (@t1185)) % 150.71/158.03 (step @p2248 :rule nary_cong :premises (@p2247 @p2246) :args ((or (not @t1210) @t1209))) % 150.71/158.03 (assume-push @p3043 @t1210) % 150.71/158.03 (step @p2250 :rule skolemize :premises (@p3043)) % 150.71/158.03 (step-pop @p3044 :rule scope :premises (@p2250)) % 150.71/158.03 (step @p2251 :rule process_scope :premises (@p3044) :args (@t1209)) % 150.71/158.03 (step @p2253 :rule implies_elim :premises (@p2251)) % 150.71/158.03 (step @p2254 :rule eq_resolve :premises (@p2253 @p2248)) % 150.71/158.03 (step @p2255 :rule chain_m_resolution :premises (@p2254 @p2245) :args (@t1185 @t415 (@list @t1193))) % 150.71/158.03 (step @p2256 :rule eq-symm :args (@t1097 @t1098)) % 150.71/158.03 (step @p2257 :rule cong :premises (@p2256) :args (@t1211)) % 150.71/158.03 (step @p2258 :rule refl :args (@t1130)) % 150.71/158.03 (step @p2259 :rule refl :args (@t394)) % 150.71/158.03 (step @p2260 :rule refl :args (@t1185)) % 150.71/158.03 (step @p2261 :rule nary_cong :premises (@p2260 @p2259 @p2258 @p2257) :args (@t1212)) % 150.71/158.03 (step @p2262 :rule cong :premises (@p2261) :args (@t1213)) % 150.71/158.03 ; trust TRUST PREPROCESS_HO_ELIM % 150.71/158.03 (step @p2263 :rule trust :premises () :args ((= (not (and (forall @t1184 @t1262) (forall @t393 (not @t1254)) (forall @t1129 (not @t1243)) @t1232)) @t1213))) % 150.71/158.03 (step @p2264 :rule refl :args (@t1232)) % 150.71/158.03 (step @p2265 :rule bool-eq-false :args (@t1243)) % 150.71/158.03 (step @p2266 :rule eq-symm :args (false @t1243)) % 150.71/158.03 (step @p2267 :rule trans :premises (@p2266 @p2265)) % 150.71/158.03 (step @p2268 :rule cong :premises (@p2267) :args (@t1263)) % 150.71/158.03 (step @p2269 :rule bool-eq-false :args (@t1254)) % 150.71/158.03 (step @p2270 :rule eq-symm :args (false @t1254)) % 150.71/158.03 (step @p2271 :rule trans :premises (@p2270 @p2269)) % 150.71/158.03 (step @p2272 :rule cong :premises (@p2271) :args (@t1264)) % 150.71/158.03 (step @p2273 :rule bool-eq-true :args (@t1262)) % 150.71/158.03 (step @p2274 :rule eq-symm :args (true @t1262)) % 150.71/158.03 (step @p2275 :rule trans :premises (@p2274 @p2273)) % 150.71/158.03 (step @p2276 :rule cong :premises (@p2275) :args (@t1265)) % 150.71/158.03 (step @p2277 :rule nary_cong :premises (@p2276 @p2272 @p2268 @p2264) :args (@t1266)) % 150.71/158.03 (step @p2278 :rule cong :premises (@p2277) :args ((not @t1266))) % 150.71/158.03 (step @p2279 :rule refl :args (@t1243)) % 150.71/158.03 (step @p2280 :rule cong :premises (@p534 @p2279) :args (@t1267)) % 150.71/158.03 (step @p2281 :rule cong :premises (@p2280) :args (@t1268)) % 150.71/158.03 (step @p2282 :rule refl :args (@t1254)) % 150.71/158.03 (step @p2283 :rule cong :premises (@p534 @p2282) :args (@t1269)) % 150.71/158.03 (step @p2284 :rule cong :premises (@p2283) :args (@t1270)) % 150.71/158.03 (step @p2285 :rule refl :args (@t1262)) % 150.71/158.03 (step @p2286 :rule cong :premises (@p540 @p2285) :args (@t1271)) % 150.71/158.03 (step @p2287 :rule cong :premises (@p2286) :args (@t1272)) % 150.71/158.03 (step @p2288 :rule nary_cong :premises (@p2287 @p2284 @p2281 @p2264) :args (@t1273)) % 150.71/158.03 (step @p2289 :rule cong :premises (@p2288) :args ((not @t1273))) % 150.71/158.03 (step @p2290 :rule trans :premises (@p2289 @p2278)) % 150.71/158.03 (step @p2291 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t1284))) % 150.71/158.03 (step @p2292 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t1283))) % 150.71/158.03 (step @p2293 :rule refl :args ((tptp.app_2E2 @t1282 @t1275))) % 150.71/158.03 (step @p2294 :rule refl :args (@t1214)) % 150.71/158.03 (step @p2295 :rule refl :args ((tptp.s @t1278 @t1281))) % 150.71/158.03 (step @p2296 :rule refl :args ((tptp.app_2E2 @t1280 @t1276))) % 150.71/158.03 (step @p2297 :rule refl :args (@t1215)) % 150.71/158.03 (step @p2298 :rule refl :args ((tptp.s @t1279 @t1093))) % 150.71/158.03 (step @p2299 :rule refl :args (@t1093)) % 150.71/158.03 (step @p2300 :rule refl :args ((tptp.tyop_2Emin_2Efun @t1087 @t1278))) % 150.71/158.03 (step @p2301 :rule refl :args (@t1216)) % 150.71/158.03 (step @p2302 :rule refl :args (@t1087)) % 150.71/158.03 (step @p2303 :rule cong :premises (@p2302 @p2301) :args (@t1217)) % 150.71/158.03 (step @p2304 :rule trans :premises (@p2303 @p2300)) % 150.71/158.03 (step @p2305 :rule cong :premises (@p2304 @p2299) :args (@t1218)) % 150.71/158.03 (step @p2306 :rule trans :premises (@p2305 @p2298)) % 150.71/158.03 (step @p2307 :rule cong :premises (@p2306 @p2297) :args (@t1219)) % 150.71/158.03 (step @p2308 :rule trans :premises (@p2307 @p2296)) % 150.71/158.03 (step @p2309 :rule cong :premises (@p2301 @p2308) :args (@t1220)) % 150.71/158.03 (step @p2310 :rule trans :premises (@p2309 @p2295)) % 150.71/158.03 (step @p2311 :rule cong :premises (@p2310 @p2294) :args (@t1221)) % 150.71/158.03 (step @p2312 :rule trans :premises (@p2311 @p2293)) % 150.71/158.03 (step @p2313 :rule cong :premises (@p59 @p2312) :args (@t1222)) % 150.71/158.03 (step @p2314 :rule trans :premises (@p2313 @p2292)) % 150.71/158.03 (step @p2315 :rule cong :premises (@p2314) :args (@t1223)) % 150.71/158.03 (step @p2316 :rule trans :premises (@p2315 @p2291)) % 150.71/158.03 (step @p2317 :rule ho_cong :premises (@p74 @p2314)) % 150.71/158.03 (step @p2318 :rule cong :premises (@p2317 @p2316) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t1222) @t1223))) % 150.71/158.03 (step @p2319 :rule symm :premises (@p2318)) % 150.71/158.03 (step @p2320 :rule refl :args (@t1285)) % 150.71/158.03 (step @p2321 :rule eq_resolve :premises (@p2320 @p2319)) % 150.71/158.03 (step @p2322 :rule ho_cong :premises (@p62 @p2312)) % 150.71/158.03 (step @p2323 :rule cong :premises (@p2322 @p2314) :args ((= (_ @t38 @t1221) @t1222))) % 150.71/158.03 (step @p2324 :rule symm :premises (@p2323)) % 150.71/158.03 (step @p2325 :rule refl :args (@t1284)) % 150.71/158.03 (step @p2326 :rule eq_resolve :premises (@p2325 @p2324)) % 150.71/158.03 (step @p2327 :rule ho_cong :premises (@p295 @p2310)) % 150.71/158.03 (step @p2328 :rule ho_cong :premises (@p2327 @p2294)) % 150.71/158.03 (step @p2329 :rule cong :premises (@p2328 @p2312) :args ((= (_ (_ tptp.app_2E2 @t1220) @t1214) @t1221))) % 150.71/158.03 (step @p2330 :rule symm :premises (@p2329)) % 150.71/158.03 (step @p2331 :rule refl :args (@t1283)) % 150.71/158.03 (step @p2332 :rule eq_resolve :premises (@p2331 @p2330)) % 150.71/158.03 (step @p2333 :rule refl :args (@t1275)) % 150.71/158.03 (step @p2334 :rule cong :premises (@p2333 @p2294) :args ((= @t1275 @t1214))) % 150.71/158.03 (step @p2335 :rule symm :premises (@p2334)) % 150.71/158.03 (step @p2336 :rule eq_resolve :premises (@p2333 @p2335)) % 150.71/158.03 (step @p2337 :rule ho_cong :premises (@p144 @p2301)) % 150.71/158.03 (step @p2338 :rule ho_cong :premises (@p2337 @p2308)) % 150.71/158.03 (step @p2339 :rule cong :premises (@p2338 @p2310) :args ((= (_ (_ tptp.s @t1216) @t1219) @t1220))) % 150.71/158.03 (step @p2340 :rule symm :premises (@p2339)) % 150.71/158.03 (step @p2341 :rule refl :args (@t1282)) % 150.71/158.03 (step @p2342 :rule eq_resolve :premises (@p2341 @p2340)) % 150.71/158.03 (step @p2343 :rule ho_cong :premises (@p295 @p2306)) % 150.71/158.03 (step @p2344 :rule ho_cong :premises (@p2343 @p2297)) % 150.71/158.03 (step @p2345 :rule cong :premises (@p2344 @p2308) :args ((= (_ (_ tptp.app_2E2 @t1218) @t1215) @t1219))) % 150.71/158.03 (step @p2346 :rule symm :premises (@p2345)) % 150.71/158.03 (step @p2347 :rule refl :args (@t1281)) % 150.71/158.03 (step @p2348 :rule eq_resolve :premises (@p2347 @p2346)) % 150.71/158.03 (step @p2349 :rule refl :args (@t1276)) % 150.71/158.03 (step @p2350 :rule cong :premises (@p2349 @p2297) :args ((= @t1276 @t1215))) % 150.71/158.03 (step @p2351 :rule symm :premises (@p2350)) % 150.71/158.03 (step @p2352 :rule eq_resolve :premises (@p2349 @p2351)) % 150.71/158.03 (step @p2353 :rule ho_cong :premises (@p144 @p2304)) % 150.71/158.03 (step @p2354 :rule ho_cong :premises (@p2353 @p2299)) % 150.71/158.03 (step @p2355 :rule cong :premises (@p2354 @p2306) :args ((= (_ (_ tptp.s @t1217) @t1093) @t1218))) % 150.71/158.03 (step @p2356 :rule symm :premises (@p2355)) % 150.71/158.03 (step @p2357 :rule refl :args (@t1280)) % 150.71/158.03 (step @p2358 :rule eq_resolve :premises (@p2357 @p2356)) % 150.71/158.03 (step @p2359 :rule refl :args (@t1277)) % 150.71/158.03 (step @p2360 :rule ho_cong :premises (@p2359 @p2301)) % 150.71/158.03 (step @p2361 :rule cong :premises (@p2360 @p2304) :args ((= (_ @t1277 @t1216) @t1217))) % 150.71/158.03 (step @p2362 :rule symm :premises (@p2361)) % 150.71/158.03 (step @p2363 :rule refl :args (@t1279)) % 150.71/158.03 (step @p2364 :rule eq_resolve :premises (@p2363 @p2362)) % 150.71/158.03 (step @p2365 :rule refl :args (@t1278)) % 150.71/158.03 (step @p2366 :rule cong :premises (@p2365 @p2301) :args ((= @t1278 @t1216))) % 150.71/158.03 (step @p2367 :rule symm :premises (@p2366)) % 150.71/158.03 (step @p2368 :rule eq_resolve :premises (@p2365 @p2367)) % 150.71/158.03 (step @p2369 :rule ho_cong :premises (@p2359 @p2368)) % 150.71/158.03 (step @p2370 :rule trans :premises (@p2369 @p2364)) % 150.71/158.03 (step @p2371 :rule ho_cong :premises (@p144 @p2370)) % 150.71/158.03 (step @p2372 :rule ho_cong :premises (@p2371 @p2299)) % 150.71/158.03 (step @p2373 :rule trans :premises (@p2372 @p2358)) % 150.71/158.03 (step @p2374 :rule ho_cong :premises (@p295 @p2373)) % 150.71/158.03 (step @p2375 :rule ho_cong :premises (@p2374 @p2352)) % 150.71/158.03 (step @p2376 :rule trans :premises (@p2375 @p2348)) % 150.71/158.03 (step @p2377 :rule ho_cong :premises (@p144 @p2368)) % 150.71/158.03 (step @p2378 :rule ho_cong :premises (@p2377 @p2376)) % 150.71/158.03 (step @p2379 :rule trans :premises (@p2378 @p2342)) % 150.71/158.03 (step @p2380 :rule ho_cong :premises (@p295 @p2379)) % 150.71/158.03 (step @p2381 :rule ho_cong :premises (@p2380 @p2336)) % 150.71/158.03 (step @p2382 :rule trans :premises (@p2381 @p2332)) % 150.71/158.03 (step @p2383 :rule ho_cong :premises (@p62 @p2382)) % 150.71/158.03 (step @p2384 :rule trans :premises (@p2383 @p2326)) % 150.71/158.03 (step @p2385 :rule ho_cong :premises (@p74 @p2384)) % 150.71/158.03 (step @p2386 :rule trans :premises (@p2385 @p2321)) % 150.71/158.03 (step @p2387 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t1293))) % 150.71/158.03 (step @p2388 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t1292))) % 150.71/158.03 (step @p2389 :rule refl :args ((tptp.c_2Eoption_2EOPTREL_2E3 @t1280 @t1291 @t1289))) % 150.71/158.03 (step @p2390 :rule refl :args ((tptp.s @t1287 @t1286))) % 150.71/158.03 (step @p2391 :rule refl :args ((tptp.c_2Eoption_2ESOME_2E1 @t1275))) % 150.71/158.03 (step @p2392 :rule cong :premises (@p2294) :args (@t1224)) % 150.71/158.03 (step @p2393 :rule trans :premises (@p2392 @p2391)) % 150.71/158.03 (step @p2394 :rule refl :args (@t1225)) % 150.71/158.03 (step @p2395 :rule cong :premises (@p2394 @p2393) :args (@t1226)) % 150.71/158.03 (step @p2396 :rule trans :premises (@p2395 @p2390)) % 150.71/158.03 (step @p2397 :rule refl :args ((tptp.s @t1287 @t1290))) % 150.71/158.03 (step @p2398 :rule refl :args ((tptp.c_2Eoption_2ESOME_2E1 @t1276))) % 150.71/158.03 (step @p2399 :rule cong :premises (@p2297) :args (@t1227)) % 150.71/158.03 (step @p2400 :rule trans :premises (@p2399 @p2398)) % 150.71/158.03 (step @p2401 :rule cong :premises (@p2394 @p2400) :args (@t1228)) % 150.71/158.03 (step @p2402 :rule trans :premises (@p2401 @p2397)) % 150.71/158.03 (step @p2403 :rule cong :premises (@p2306 @p2402 @p2396) :args (@t1229)) % 150.71/158.03 (step @p2404 :rule trans :premises (@p2403 @p2389)) % 150.71/158.03 (step @p2405 :rule cong :premises (@p59 @p2404) :args (@t1230)) % 150.71/158.03 (step @p2406 :rule trans :premises (@p2405 @p2388)) % 150.71/158.03 (step @p2407 :rule cong :premises (@p2406) :args (@t1231)) % 150.71/158.03 (step @p2408 :rule trans :premises (@p2407 @p2387)) % 150.71/158.03 (step @p2409 :rule ho_cong :premises (@p74 @p2406)) % 150.71/158.03 (step @p2410 :rule cong :premises (@p2409 @p2408) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t1230) @t1231))) % 150.71/158.03 (step @p2411 :rule symm :premises (@p2410)) % 150.71/158.03 (step @p2412 :rule refl :args (@t1294)) % 150.71/158.03 (step @p2413 :rule eq_resolve :premises (@p2412 @p2411)) % 150.71/158.03 (step @p2414 :rule ho_cong :premises (@p62 @p2404)) % 150.71/158.03 (step @p2415 :rule cong :premises (@p2414 @p2406) :args ((= (_ @t38 @t1229) @t1230))) % 150.71/158.03 (step @p2416 :rule symm :premises (@p2415)) % 150.71/158.03 (step @p2417 :rule refl :args (@t1293)) % 150.71/158.03 (step @p2418 :rule eq_resolve :premises (@p2417 @p2416)) % 150.71/158.03 (step @p2419 :rule ho_cong :premises (@p229 @p2306)) % 150.71/158.03 (step @p2420 :rule ho_cong :premises (@p2419 @p2402)) % 150.71/158.03 (step @p2421 :rule ho_cong :premises (@p2420 @p2396)) % 150.71/158.03 (step @p2422 :rule cong :premises (@p2421 @p2404) :args ((= (_ (_ (_ tptp.c_2Eoption_2EOPTREL_2E3 @t1218) @t1228) @t1226) @t1229))) % 150.71/158.03 (step @p2423 :rule symm :premises (@p2422)) % 150.71/158.03 (step @p2424 :rule refl :args (@t1292)) % 150.71/158.03 (step @p2425 :rule eq_resolve :premises (@p2424 @p2423)) % 150.71/158.03 (step @p2426 :rule ho_cong :premises (@p144 @p2394)) % 150.71/158.03 (step @p2427 :rule ho_cong :premises (@p2426 @p2393)) % 150.71/158.03 (step @p2428 :rule cong :premises (@p2427 @p2396) :args ((= (_ @t1295 @t1224) @t1226))) % 150.71/158.03 (step @p2429 :rule symm :premises (@p2428)) % 150.71/158.03 (step @p2430 :rule refl :args (@t1289)) % 150.71/158.03 (step @p2431 :rule eq_resolve :premises (@p2430 @p2429)) % 150.71/158.03 (step @p2432 :rule ho_cong :premises (@p347 @p2294)) % 150.71/158.03 (step @p2433 :rule cong :premises (@p2432 @p2393) :args ((= (_ tptp.c_2Eoption_2ESOME_2E1 @t1214) @t1224))) % 150.71/158.03 (step @p2434 :rule symm :premises (@p2433)) % 150.71/158.03 (step @p2435 :rule refl :args (@t1286)) % 150.71/158.03 (step @p2436 :rule eq_resolve :premises (@p2435 @p2434)) % 150.71/158.03 (step @p2437 :rule ho_cong :premises (@p347 @p2336)) % 150.71/158.03 (step @p2438 :rule trans :premises (@p2437 @p2436)) % 150.71/158.03 (step @p2439 :rule refl :args (@t1287)) % 150.71/158.03 (step @p2440 :rule cong :premises (@p2439 @p2394) :args ((= @t1287 @t1225))) % 150.71/158.03 (step @p2441 :rule symm :premises (@p2440)) % 150.71/158.03 (step @p2442 :rule eq_resolve :premises (@p2439 @p2441)) % 150.71/158.03 (step @p2443 :rule ho_cong :premises (@p144 @p2442)) % 150.71/158.03 (step @p2444 :rule ho_cong :premises (@p2443 @p2438)) % 150.71/158.03 (step @p2445 :rule trans :premises (@p2444 @p2431)) % 150.71/158.03 (step @p2446 :rule ho_cong :premises (@p2426 @p2400)) % 150.71/158.03 (step @p2447 :rule cong :premises (@p2446 @p2402) :args ((= (_ @t1295 @t1227) @t1228))) % 150.71/158.03 (step @p2448 :rule symm :premises (@p2447)) % 150.71/158.03 (step @p2449 :rule refl :args (@t1291)) % 150.71/158.03 (step @p2450 :rule eq_resolve :premises (@p2449 @p2448)) % 150.71/158.03 (step @p2451 :rule ho_cong :premises (@p347 @p2297)) % 150.71/158.03 (step @p2452 :rule cong :premises (@p2451 @p2400) :args ((= (_ tptp.c_2Eoption_2ESOME_2E1 @t1215) @t1227))) % 150.71/158.03 (step @p2453 :rule symm :premises (@p2452)) % 150.71/158.03 (step @p2454 :rule refl :args (@t1290)) % 150.71/158.03 (step @p2455 :rule eq_resolve :premises (@p2454 @p2453)) % 150.71/158.03 (step @p2456 :rule ho_cong :premises (@p347 @p2352)) % 150.71/158.03 (step @p2457 :rule trans :premises (@p2456 @p2455)) % 150.71/158.03 (step @p2458 :rule ho_cong :premises (@p2443 @p2457)) % 150.71/158.03 (step @p2459 :rule trans :premises (@p2458 @p2450)) % 150.71/158.03 (step @p2460 :rule ho_cong :premises (@p229 @p2373)) % 150.71/158.03 (step @p2461 :rule ho_cong :premises (@p2460 @p2459)) % 150.71/158.03 (step @p2462 :rule ho_cong :premises (@p2461 @p2445)) % 150.71/158.03 (step @p2463 :rule trans :premises (@p2462 @p2425)) % 150.71/158.03 (step @p2464 :rule ho_cong :premises (@p62 @p2463)) % 150.71/158.03 (step @p2465 :rule trans :premises (@p2464 @p2418)) % 150.71/158.03 (step @p2466 :rule ho_cong :premises (@p74 @p2465)) % 150.71/158.03 (step @p2467 :rule trans :premises (@p2466 @p2413)) % 150.71/158.03 (step @p2468 :rule cong :premises (@p2467 @p2386) :args (@t1296)) % 150.71/158.03 (step @p2469 :rule cong :premises (@p2468) :args (@t1297)) % 150.71/158.03 (step @p2470 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t1309))) % 150.71/158.03 (step @p2471 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t1308))) % 150.71/158.03 (step @p2472 :rule refl :args ((tptp.c_2Eoption_2EOPTREL_2E3 @t1307 @t1303 @t1302))) % 150.71/158.03 (step @p2473 :rule refl :args ((tptp.s @t1300 @t1299))) % 150.71/158.03 (step @p2474 :rule refl :args ((tptp.c_2Eoption_2ESOME_2E1 @t1298))) % 150.71/158.03 (step @p2475 :rule refl :args (@t1233)) % 150.71/158.03 (step @p2476 :rule cong :premises (@p2475) :args (@t1234)) % 150.71/158.03 (step @p2477 :rule trans :premises (@p2476 @p2474)) % 150.71/158.03 (step @p2478 :rule refl :args (@t1235)) % 150.71/158.03 (step @p2479 :rule cong :premises (@p2478 @p2477) :args (@t1236)) % 150.71/158.03 (step @p2480 :rule trans :premises (@p2479 @p2473)) % 150.71/158.03 (step @p2481 :rule refl :args ((tptp.s @t1300 tptp.c_2Eoption_2ENONE_2E0))) % 150.71/158.03 (step @p2482 :rule cong :premises (@p2478 @p159) :args (@t1237)) % 150.71/158.03 (step @p2483 :rule trans :premises (@p2482 @p2481)) % 150.71/158.03 (step @p2484 :rule refl :args ((tptp.s @t1306 @t1127))) % 150.71/158.03 (step @p2485 :rule refl :args (@t1127)) % 150.71/158.03 (step @p2486 :rule refl :args ((tptp.tyop_2Emin_2Efun @t1125 @t1305))) % 150.71/158.03 (step @p2487 :rule refl :args (@t1238)) % 150.71/158.03 (step @p2488 :rule refl :args (@t1125)) % 150.71/158.03 (step @p2489 :rule cong :premises (@p2488 @p2487) :args (@t1239)) % 150.71/158.03 (step @p2490 :rule trans :premises (@p2489 @p2486)) % 150.71/158.03 (step @p2491 :rule cong :premises (@p2490 @p2485) :args (@t1240)) % 150.71/158.03 (step @p2492 :rule trans :premises (@p2491 @p2484)) % 150.71/158.03 (step @p2493 :rule cong :premises (@p2492 @p2483 @p2480) :args (@t1241)) % 150.71/158.03 (step @p2494 :rule trans :premises (@p2493 @p2472)) % 150.71/158.03 (step @p2495 :rule cong :premises (@p59 @p2494) :args (@t1242)) % 150.71/158.03 (step @p2496 :rule trans :premises (@p2495 @p2471)) % 150.71/158.03 (step @p2497 :rule cong :premises (@p2496) :args (@t1243)) % 150.71/158.03 (step @p2498 :rule trans :premises (@p2497 @p2470)) % 150.71/158.03 (step @p2499 :rule ho_cong :premises (@p74 @p2496)) % 150.71/158.03 (step @p2500 :rule cong :premises (@p2499 @p2498) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t1242) @t1243))) % 150.71/158.03 (step @p2501 :rule symm :premises (@p2500)) % 150.71/158.03 (step @p2502 :rule refl :args (@t1310)) % 150.71/158.03 (step @p2503 :rule eq_resolve :premises (@p2502 @p2501)) % 150.71/158.03 (step @p2504 :rule ho_cong :premises (@p62 @p2494)) % 150.71/158.03 (step @p2505 :rule cong :premises (@p2504 @p2496) :args ((= (_ @t38 @t1241) @t1242))) % 150.71/158.03 (step @p2506 :rule symm :premises (@p2505)) % 150.71/158.03 (step @p2507 :rule refl :args (@t1309)) % 150.71/158.03 (step @p2508 :rule eq_resolve :premises (@p2507 @p2506)) % 150.71/158.03 (step @p2509 :rule ho_cong :premises (@p229 @p2492)) % 150.71/158.03 (step @p2510 :rule ho_cong :premises (@p2509 @p2483)) % 150.71/158.03 (step @p2511 :rule ho_cong :premises (@p2510 @p2480)) % 150.71/158.03 (step @p2512 :rule cong :premises (@p2511 @p2494) :args ((= (_ (_ (_ tptp.c_2Eoption_2EOPTREL_2E3 @t1240) @t1237) @t1236) @t1241))) % 150.71/158.03 (step @p2513 :rule symm :premises (@p2512)) % 150.71/158.03 (step @p2514 :rule refl :args (@t1308)) % 150.71/158.03 (step @p2515 :rule eq_resolve :premises (@p2514 @p2513)) % 150.71/158.03 (step @p2516 :rule ho_cong :premises (@p144 @p2478)) % 150.71/158.03 (step @p2517 :rule ho_cong :premises (@p2516 @p2477)) % 150.71/158.03 (step @p2518 :rule cong :premises (@p2517 @p2480) :args ((= (_ @t1311 @t1234) @t1236))) % 150.71/158.03 (step @p2519 :rule symm :premises (@p2518)) % 150.71/158.03 (step @p2520 :rule refl :args (@t1302)) % 150.71/158.03 (step @p2521 :rule eq_resolve :premises (@p2520 @p2519)) % 150.71/158.03 (step @p2522 :rule ho_cong :premises (@p347 @p2475)) % 150.71/158.03 (step @p2523 :rule cong :premises (@p2522 @p2477) :args ((= (_ tptp.c_2Eoption_2ESOME_2E1 @t1233) @t1234))) % 150.71/158.03 (step @p2524 :rule symm :premises (@p2523)) % 150.71/158.03 (step @p2525 :rule refl :args (@t1299)) % 150.71/158.03 (step @p2526 :rule eq_resolve :premises (@p2525 @p2524)) % 150.71/158.03 (step @p2527 :rule refl :args (@t1298)) % 150.71/158.03 (step @p2528 :rule cong :premises (@p2527 @p2475) :args ((= @t1298 @t1233))) % 150.71/158.03 (step @p2529 :rule symm :premises (@p2528)) % 150.71/158.03 (step @p2530 :rule eq_resolve :premises (@p2527 @p2529)) % 150.71/158.03 (step @p2531 :rule ho_cong :premises (@p347 @p2530)) % 150.71/158.03 (step @p2532 :rule trans :premises (@p2531 @p2526)) % 150.71/158.03 (step @p2533 :rule refl :args (@t1300)) % 150.71/158.03 (step @p2534 :rule cong :premises (@p2533 @p2478) :args ((= @t1300 @t1235))) % 150.71/158.03 (step @p2535 :rule symm :premises (@p2534)) % 150.71/158.03 (step @p2536 :rule eq_resolve :premises (@p2533 @p2535)) % 150.71/158.03 (step @p2537 :rule ho_cong :premises (@p144 @p2536)) % 150.71/158.03 (step @p2538 :rule ho_cong :premises (@p2537 @p2532)) % 150.71/158.03 (step @p2539 :rule trans :premises (@p2538 @p2521)) % 150.71/158.03 (step @p2540 :rule ho_cong :premises (@p2516 @p159)) % 150.71/158.03 (step @p2541 :rule cong :premises (@p2540 @p2483) :args ((= (_ @t1311 tptp.c_2Eoption_2ENONE_2E0) @t1237))) % 150.71/158.03 (step @p2542 :rule symm :premises (@p2541)) % 150.71/158.03 (step @p2543 :rule refl :args (@t1303)) % 150.71/158.03 (step @p2544 :rule eq_resolve :premises (@p2543 @p2542)) % 150.71/158.03 (step @p2545 :rule ho_cong :premises (@p2537 @p159)) % 150.71/158.03 (step @p2546 :rule trans :premises (@p2545 @p2544)) % 150.71/158.03 (step @p2547 :rule ho_cong :premises (@p144 @p2490)) % 150.71/158.03 (step @p2548 :rule ho_cong :premises (@p2547 @p2485)) % 150.71/158.03 (step @p2549 :rule cong :premises (@p2548 @p2492) :args ((= (_ (_ tptp.s @t1239) @t1127) @t1240))) % 150.71/158.03 (step @p2550 :rule symm :premises (@p2549)) % 150.71/158.03 (step @p2551 :rule refl :args (@t1307)) % 150.71/158.03 (step @p2552 :rule eq_resolve :premises (@p2551 @p2550)) % 150.71/158.03 (step @p2553 :rule refl :args (@t1304)) % 150.71/158.03 (step @p2554 :rule ho_cong :premises (@p2553 @p2487)) % 150.71/158.03 (step @p2555 :rule cong :premises (@p2554 @p2490) :args ((= (_ @t1304 @t1238) @t1239))) % 150.71/158.03 (step @p2556 :rule symm :premises (@p2555)) % 150.71/158.03 (step @p2557 :rule refl :args (@t1306)) % 150.71/158.03 (step @p2558 :rule eq_resolve :premises (@p2557 @p2556)) % 150.71/158.03 (step @p2559 :rule refl :args (@t1305)) % 150.71/158.03 (step @p2560 :rule cong :premises (@p2559 @p2487) :args ((= @t1305 @t1238))) % 150.71/158.03 (step @p2561 :rule symm :premises (@p2560)) % 150.71/158.03 (step @p2562 :rule eq_resolve :premises (@p2559 @p2561)) % 150.71/158.03 (step @p2563 :rule ho_cong :premises (@p2553 @p2562)) % 150.71/158.03 (step @p2564 :rule trans :premises (@p2563 @p2558)) % 150.71/158.03 (step @p2565 :rule ho_cong :premises (@p144 @p2564)) % 150.71/158.03 (step @p2566 :rule ho_cong :premises (@p2565 @p2485)) % 150.71/158.03 (step @p2567 :rule trans :premises (@p2566 @p2552)) % 150.71/158.03 (step @p2568 :rule ho_cong :premises (@p229 @p2567)) % 150.71/158.03 (step @p2569 :rule ho_cong :premises (@p2568 @p2546)) % 150.71/158.03 (step @p2570 :rule ho_cong :premises (@p2569 @p2539)) % 150.71/158.03 (step @p2571 :rule trans :premises (@p2570 @p2515)) % 150.71/158.03 (step @p2572 :rule ho_cong :premises (@p62 @p2571)) % 150.71/158.03 (step @p2573 :rule trans :premises (@p2572 @p2508)) % 150.71/158.03 (step @p2574 :rule ho_cong :premises (@p74 @p2573)) % 150.71/158.03 (step @p2575 :rule trans :premises (@p2574 @p2503)) % 150.71/158.03 (step @p2576 :rule cong :premises (@p707 @p2575) :args (@t1312)) % 150.71/158.03 (step @p2577 :rule cong :premises (@p2576) :args (@t1313)) % 150.71/158.03 (step @p2578 :rule quant-unused-vars :args ((= @t1315 @t1313))) % 150.71/158.03 (step @p2579 :rule trans :premises (@p2578 @p2577)) % 150.71/158.03 (step @p2580 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t1327))) % 150.71/158.03 (step @p2581 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t1326))) % 150.71/158.03 (step @p2582 :rule refl :args ((tptp.c_2Eoption_2EOPTREL_2E3 @t1325 @t1321 @t1318))) % 150.71/158.03 (step @p2583 :rule refl :args ((tptp.s @t1316 tptp.c_2Eoption_2ENONE_2E0))) % 150.71/158.03 (step @p2584 :rule refl :args (@t1244)) % 150.71/158.03 (step @p2585 :rule cong :premises (@p2584 @p159) :args (@t1245)) % 150.71/158.03 (step @p2586 :rule trans :premises (@p2585 @p2583)) % 150.71/158.03 (step @p2587 :rule refl :args ((tptp.s @t1316 @t1320))) % 150.71/158.03 (step @p2588 :rule refl :args ((tptp.c_2Eoption_2ESOME_2E1 @t1319))) % 150.71/158.03 (step @p2589 :rule refl :args (@t1246)) % 150.71/158.03 (step @p2590 :rule cong :premises (@p2589) :args (@t1247)) % 150.71/158.03 (step @p2591 :rule trans :premises (@p2590 @p2588)) % 150.71/158.03 (step @p2592 :rule cong :premises (@p2584 @p2591) :args (@t1248)) % 150.71/158.03 (step @p2593 :rule trans :premises (@p2592 @p2587)) % 150.71/158.03 (step @p2594 :rule refl :args ((tptp.s @t1324 @t386))) % 150.71/158.03 (step @p2595 :rule refl :args (@t386)) % 150.71/158.03 (step @p2596 :rule refl :args ((tptp.tyop_2Emin_2Efun @t379 @t1323))) % 150.71/158.03 (step @p2597 :rule refl :args (@t1249)) % 150.71/158.03 (step @p2598 :rule refl :args (@t379)) % 150.71/158.03 (step @p2599 :rule cong :premises (@p2598 @p2597) :args (@t1250)) % 150.71/158.03 (step @p2600 :rule trans :premises (@p2599 @p2596)) % 150.71/158.03 (step @p2601 :rule cong :premises (@p2600 @p2595) :args (@t1251)) % 150.71/158.03 (step @p2602 :rule trans :premises (@p2601 @p2594)) % 150.71/158.03 (step @p2603 :rule cong :premises (@p2602 @p2593 @p2586) :args (@t1252)) % 150.71/158.03 (step @p2604 :rule trans :premises (@p2603 @p2582)) % 150.71/158.03 (step @p2605 :rule cong :premises (@p59 @p2604) :args (@t1253)) % 150.71/158.03 (step @p2606 :rule trans :premises (@p2605 @p2581)) % 150.71/158.03 (step @p2607 :rule cong :premises (@p2606) :args (@t1254)) % 150.71/158.03 (step @p2608 :rule trans :premises (@p2607 @p2580)) % 150.71/158.03 (step @p2609 :rule ho_cong :premises (@p74 @p2606)) % 150.71/158.03 (step @p2610 :rule cong :premises (@p2609 @p2608) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t1253) @t1254))) % 150.71/158.03 (step @p2611 :rule symm :premises (@p2610)) % 150.71/158.03 (step @p2612 :rule refl :args (@t1328)) % 150.71/158.03 (step @p2613 :rule eq_resolve :premises (@p2612 @p2611)) % 150.71/158.03 (step @p2614 :rule ho_cong :premises (@p62 @p2604)) % 150.71/158.03 (step @p2615 :rule cong :premises (@p2614 @p2606) :args ((= (_ @t38 @t1252) @t1253))) % 150.71/158.03 (step @p2616 :rule symm :premises (@p2615)) % 150.71/158.03 (step @p2617 :rule refl :args (@t1327)) % 150.71/158.03 (step @p2618 :rule eq_resolve :premises (@p2617 @p2616)) % 150.71/158.03 (step @p2619 :rule ho_cong :premises (@p229 @p2602)) % 150.71/158.03 (step @p2620 :rule ho_cong :premises (@p2619 @p2593)) % 150.71/158.03 (step @p2621 :rule ho_cong :premises (@p2620 @p2586)) % 150.71/158.03 (step @p2622 :rule cong :premises (@p2621 @p2604) :args ((= (_ (_ (_ tptp.c_2Eoption_2EOPTREL_2E3 @t1251) @t1248) @t1245) @t1252))) % 150.71/158.03 (step @p2623 :rule symm :premises (@p2622)) % 150.71/158.03 (step @p2624 :rule refl :args (@t1326)) % 150.71/158.03 (step @p2625 :rule eq_resolve :premises (@p2624 @p2623)) % 150.71/158.03 (step @p2626 :rule ho_cong :premises (@p144 @p2584)) % 150.71/158.03 (step @p2627 :rule ho_cong :premises (@p2626 @p159)) % 150.71/158.03 (step @p2628 :rule cong :premises (@p2627 @p2586) :args ((= (_ @t1329 tptp.c_2Eoption_2ENONE_2E0) @t1245))) % 150.71/158.03 (step @p2629 :rule symm :premises (@p2628)) % 150.71/158.03 (step @p2630 :rule refl :args (@t1318)) % 150.71/158.03 (step @p2631 :rule eq_resolve :premises (@p2630 @p2629)) % 150.71/158.03 (step @p2632 :rule refl :args (@t1316)) % 150.71/158.03 (step @p2633 :rule cong :premises (@p2632 @p2584) :args ((= @t1316 @t1244))) % 150.71/158.03 (step @p2634 :rule symm :premises (@p2633)) % 150.71/158.03 (step @p2635 :rule eq_resolve :premises (@p2632 @p2634)) % 150.71/158.03 (step @p2636 :rule ho_cong :premises (@p144 @p2635)) % 150.71/158.03 (step @p2637 :rule ho_cong :premises (@p2636 @p159)) % 150.71/158.03 (step @p2638 :rule trans :premises (@p2637 @p2631)) % 150.71/158.03 (step @p2639 :rule ho_cong :premises (@p2626 @p2591)) % 150.71/158.03 (step @p2640 :rule cong :premises (@p2639 @p2593) :args ((= (_ @t1329 @t1247) @t1248))) % 150.71/158.03 (step @p2641 :rule symm :premises (@p2640)) % 150.71/158.03 (step @p2642 :rule refl :args (@t1321)) % 150.71/158.03 (step @p2643 :rule eq_resolve :premises (@p2642 @p2641)) % 150.71/158.03 (step @p2644 :rule ho_cong :premises (@p347 @p2589)) % 150.71/158.03 (step @p2645 :rule cong :premises (@p2644 @p2591) :args ((= (_ tptp.c_2Eoption_2ESOME_2E1 @t1246) @t1247))) % 150.71/158.03 (step @p2646 :rule symm :premises (@p2645)) % 150.71/158.03 (step @p2647 :rule refl :args (@t1320)) % 150.71/158.03 (step @p2648 :rule eq_resolve :premises (@p2647 @p2646)) % 150.71/158.03 (step @p2649 :rule refl :args (@t1319)) % 150.71/158.03 (step @p2650 :rule cong :premises (@p2649 @p2589) :args ((= @t1319 @t1246))) % 150.71/158.03 (step @p2651 :rule symm :premises (@p2650)) % 150.71/158.03 (step @p2652 :rule eq_resolve :premises (@p2649 @p2651)) % 150.71/158.03 (step @p2653 :rule ho_cong :premises (@p347 @p2652)) % 150.71/158.03 (step @p2654 :rule trans :premises (@p2653 @p2648)) % 150.71/158.03 (step @p2655 :rule ho_cong :premises (@p2636 @p2654)) % 150.71/158.03 (step @p2656 :rule trans :premises (@p2655 @p2643)) % 150.71/158.03 (step @p2657 :rule ho_cong :premises (@p144 @p2600)) % 150.71/158.03 (step @p2658 :rule ho_cong :premises (@p2657 @p2595)) % 150.71/158.03 (step @p2659 :rule cong :premises (@p2658 @p2602) :args ((= (_ (_ tptp.s @t1250) @t386) @t1251))) % 150.71/158.03 (step @p2660 :rule symm :premises (@p2659)) % 150.71/158.03 (step @p2661 :rule refl :args (@t1325)) % 150.71/158.03 (step @p2662 :rule eq_resolve :premises (@p2661 @p2660)) % 150.71/158.03 (step @p2663 :rule refl :args (@t1322)) % 150.71/158.03 (step @p2664 :rule ho_cong :premises (@p2663 @p2597)) % 150.71/158.03 (step @p2665 :rule cong :premises (@p2664 @p2600) :args ((= (_ @t1322 @t1249) @t1250))) % 150.71/158.03 (step @p2666 :rule symm :premises (@p2665)) % 150.71/158.03 (step @p2667 :rule refl :args (@t1324)) % 150.71/158.03 (step @p2668 :rule eq_resolve :premises (@p2667 @p2666)) % 150.71/158.03 (step @p2669 :rule refl :args (@t1323)) % 150.71/158.03 (step @p2670 :rule cong :premises (@p2669 @p2597) :args ((= @t1323 @t1249))) % 150.71/158.03 (step @p2671 :rule symm :premises (@p2670)) % 150.71/158.03 (step @p2672 :rule eq_resolve :premises (@p2669 @p2671)) % 150.71/158.03 (step @p2673 :rule ho_cong :premises (@p2663 @p2672)) % 150.71/158.03 (step @p2674 :rule trans :premises (@p2673 @p2668)) % 150.71/158.03 (step @p2675 :rule ho_cong :premises (@p144 @p2674)) % 150.71/158.03 (step @p2676 :rule ho_cong :premises (@p2675 @p2595)) % 150.71/158.03 (step @p2677 :rule trans :premises (@p2676 @p2662)) % 150.71/158.03 (step @p2678 :rule ho_cong :premises (@p229 @p2677)) % 150.71/158.03 (step @p2679 :rule ho_cong :premises (@p2678 @p2656)) % 150.71/158.03 (step @p2680 :rule ho_cong :premises (@p2679 @p2638)) % 150.71/158.03 (step @p2681 :rule trans :premises (@p2680 @p2625)) % 150.71/158.03 (step @p2682 :rule ho_cong :premises (@p62 @p2681)) % 150.71/158.03 (step @p2683 :rule trans :premises (@p2682 @p2618)) % 150.71/158.03 (step @p2684 :rule ho_cong :premises (@p74 @p2683)) % 150.71/158.03 (step @p2685 :rule trans :premises (@p2684 @p2613)) % 150.71/158.03 (step @p2686 :rule cong :premises (@p707 @p2685) :args (@t1330)) % 150.71/158.03 (step @p2687 :rule cong :premises (@p2686) :args (@t1331)) % 150.71/158.03 (step @p2688 :rule quant-unused-vars :args ((= @t1333 @t1331))) % 150.71/158.03 (step @p2689 :rule trans :premises (@p2688 @p2687)) % 150.71/158.03 (step @p2690 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t1341))) % 150.71/158.03 (step @p2691 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t1340))) % 150.71/158.03 (step @p2692 :rule refl :args ((tptp.c_2Eoption_2EOPTREL_2E3 @t1339 @t1335 @t1335))) % 150.71/158.03 (step @p2693 :rule refl :args ((tptp.s @t1334 tptp.c_2Eoption_2ENONE_2E0))) % 150.71/158.03 (step @p2694 :rule refl :args (@t1255)) % 150.71/158.03 (step @p2695 :rule cong :premises (@p2694 @p159) :args (@t1256)) % 150.71/158.03 (step @p2696 :rule trans :premises (@p2695 @p2693)) % 150.71/158.03 (step @p2697 :rule refl :args ((tptp.s @t1338 @t1182))) % 150.71/158.03 (step @p2698 :rule refl :args (@t1182)) % 150.71/158.03 (step @p2699 :rule refl :args ((tptp.tyop_2Emin_2Efun @t1180 @t1337))) % 150.71/158.03 (step @p2700 :rule refl :args (@t1257)) % 150.71/158.03 (step @p2701 :rule refl :args (@t1180)) % 150.71/158.03 (step @p2702 :rule cong :premises (@p2701 @p2700) :args (@t1258)) % 150.71/158.03 (step @p2703 :rule trans :premises (@p2702 @p2699)) % 150.71/158.03 (step @p2704 :rule cong :premises (@p2703 @p2698) :args (@t1259)) % 150.71/158.03 (step @p2705 :rule trans :premises (@p2704 @p2697)) % 150.71/158.03 (step @p2706 :rule cong :premises (@p2705 @p2696 @p2696) :args (@t1260)) % 150.71/158.03 (step @p2707 :rule trans :premises (@p2706 @p2692)) % 150.71/158.03 (step @p2708 :rule cong :premises (@p59 @p2707) :args (@t1261)) % 150.71/158.03 (step @p2709 :rule trans :premises (@p2708 @p2691)) % 150.71/158.03 (step @p2710 :rule cong :premises (@p2709) :args (@t1262)) % 150.71/158.03 (step @p2711 :rule trans :premises (@p2710 @p2690)) % 150.71/158.03 (step @p2712 :rule ho_cong :premises (@p74 @p2709)) % 150.71/158.03 (step @p2713 :rule cong :premises (@p2712 @p2711) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t1261) @t1262))) % 150.71/158.03 (step @p2714 :rule symm :premises (@p2713)) % 150.71/158.03 (step @p2715 :rule refl :args (@t1342)) % 150.71/158.03 (step @p2716 :rule eq_resolve :premises (@p2715 @p2714)) % 150.71/158.03 (step @p2717 :rule ho_cong :premises (@p62 @p2707)) % 150.71/158.03 (step @p2718 :rule cong :premises (@p2717 @p2709) :args ((= (_ @t38 @t1260) @t1261))) % 150.71/158.03 (step @p2719 :rule symm :premises (@p2718)) % 150.71/158.03 (step @p2720 :rule refl :args (@t1341)) % 150.71/158.03 (step @p2721 :rule eq_resolve :premises (@p2720 @p2719)) % 150.71/158.03 (step @p2722 :rule ho_cong :premises (@p229 @p2705)) % 150.71/158.03 (step @p2723 :rule ho_cong :premises (@p2722 @p2696)) % 150.71/158.03 (step @p2724 :rule ho_cong :premises (@p2723 @p2696)) % 150.71/158.03 (step @p2725 :rule cong :premises (@p2724 @p2707) :args ((= (_ (_ (_ tptp.c_2Eoption_2EOPTREL_2E3 @t1259) @t1256) @t1256) @t1260))) % 150.71/158.03 (step @p2726 :rule symm :premises (@p2725)) % 150.71/158.03 (step @p2727 :rule refl :args (@t1340)) % 150.71/158.03 (step @p2728 :rule eq_resolve :premises (@p2727 @p2726)) % 150.71/158.03 (step @p2729 :rule ho_cong :premises (@p144 @p2694)) % 150.71/158.03 (step @p2730 :rule ho_cong :premises (@p2729 @p159)) % 150.71/158.03 (step @p2731 :rule cong :premises (@p2730 @p2696) :args ((= (_ (_ tptp.s @t1255) tptp.c_2Eoption_2ENONE_2E0) @t1256))) % 150.71/158.03 (step @p2732 :rule symm :premises (@p2731)) % 150.71/158.03 (step @p2733 :rule refl :args (@t1335)) % 150.71/158.03 (step @p2734 :rule eq_resolve :premises (@p2733 @p2732)) % 150.71/158.03 (step @p2735 :rule refl :args (@t1334)) % 150.71/158.03 (step @p2736 :rule cong :premises (@p2735 @p2694) :args ((= @t1334 @t1255))) % 150.71/158.03 (step @p2737 :rule symm :premises (@p2736)) % 150.71/158.03 (step @p2738 :rule eq_resolve :premises (@p2735 @p2737)) % 150.71/158.03 (step @p2739 :rule ho_cong :premises (@p144 @p2738)) % 150.71/158.03 (step @p2740 :rule ho_cong :premises (@p2739 @p159)) % 150.71/158.03 (step @p2741 :rule trans :premises (@p2740 @p2734)) % 150.71/158.03 (step @p2742 :rule ho_cong :premises (@p144 @p2703)) % 150.71/158.03 (step @p2743 :rule ho_cong :premises (@p2742 @p2698)) % 150.71/158.03 (step @p2744 :rule cong :premises (@p2743 @p2705) :args ((= (_ (_ tptp.s @t1258) @t1182) @t1259))) % 150.71/158.03 (step @p2745 :rule symm :premises (@p2744)) % 150.71/158.03 (step @p2746 :rule refl :args (@t1339)) % 150.71/158.03 (step @p2747 :rule eq_resolve :premises (@p2746 @p2745)) % 150.71/158.03 (step @p2748 :rule refl :args (@t1336)) % 150.71/158.03 (step @p2749 :rule ho_cong :premises (@p2748 @p2700)) % 150.71/158.03 (step @p2750 :rule cong :premises (@p2749 @p2703) :args ((= (_ @t1336 @t1257) @t1258))) % 150.71/158.03 (step @p2751 :rule symm :premises (@p2750)) % 150.71/158.03 (step @p2752 :rule refl :args (@t1338)) % 150.71/158.03 (step @p2753 :rule eq_resolve :premises (@p2752 @p2751)) % 150.71/158.03 (step @p2754 :rule refl :args (@t1337)) % 150.71/158.03 (step @p2755 :rule cong :premises (@p2754 @p2700) :args ((= @t1337 @t1257))) % 150.71/158.03 (step @p2756 :rule symm :premises (@p2755)) % 150.71/158.03 (step @p2757 :rule eq_resolve :premises (@p2754 @p2756)) % 150.71/158.03 (step @p2758 :rule ho_cong :premises (@p2748 @p2757)) % 150.71/158.03 (step @p2759 :rule trans :premises (@p2758 @p2753)) % 150.71/158.03 (step @p2760 :rule ho_cong :premises (@p144 @p2759)) % 150.71/158.03 (step @p2761 :rule ho_cong :premises (@p2760 @p2698)) % 150.71/158.03 (step @p2762 :rule trans :premises (@p2761 @p2747)) % 150.71/158.03 (step @p2763 :rule ho_cong :premises (@p229 @p2762)) % 150.71/158.03 (step @p2764 :rule ho_cong :premises (@p2763 @p2741)) % 150.71/158.03 (step @p2765 :rule ho_cong :premises (@p2764 @p2741)) % 150.71/158.03 (step @p2766 :rule trans :premises (@p2765 @p2728)) % 150.71/158.03 (step @p2767 :rule ho_cong :premises (@p62 @p2766)) % 150.71/158.03 (step @p2768 :rule trans :premises (@p2767 @p2721)) % 150.71/158.03 (step @p2769 :rule ho_cong :premises (@p74 @p2768)) % 150.71/158.03 (step @p2770 :rule trans :premises (@p2769 @p2716)) % 150.71/158.03 (step @p2771 :rule cong :premises (@p1752 @p2770) :args (@t1343)) % 150.71/158.03 (step @p2772 :rule cong :premises (@p2771) :args (@t1344)) % 150.71/158.03 (step @p2773 :rule quant-unused-vars :args ((= @t1347 @t1344))) % 150.71/158.03 (step @p2774 :rule trans :premises (@p2773 @p2772)) % 150.71/158.03 (step @p2775 :rule nary_cong :premises (@p2774 @p2689 @p2579 @p2469) :args ((and @t1347 @t1333 @t1315 @t1297))) % 150.71/158.03 (step @p2776 :rule alpha_equiv :args (@t1348 @t1349 (@list @t1087 @t1086 @t1091 @t1093))) % 150.71/158.03 (step @p2777 :rule alpha_equiv :args (@t1351 @t1349 (@list @t1125 @t1124 @t1314 @t1127))) % 150.71/158.03 (step @p2778 :rule alpha_equiv :args (@t1353 @t1349 (@list @t379 @t1332 @t383 @t386))) % 150.71/158.03 (step @p2779 :rule alpha_equiv :args (@t1355 @t1349 (@list @t1180 @t1346 @t1345 @t1182))) % 150.71/158.03 (step @p2780 :rule nary_cong :premises (@p2779 @p2778 @p2777 @p2776) :args (@t1356)) % 150.71/158.03 (step @p2781 :rule quant-miniscope-and :args ((= (forall @t361 (and @t1354 @t1352 @t1350 @t355)) @t1356))) % 150.71/158.03 (step @p2782 :rule trans :premises (@p2781 @p2780)) % 150.71/158.03 (step @p2783 :rule trans :premises (@p2782 @p2775)) % 150.71/158.03 (step @p2784 :rule refl :args (@t355)) % 150.71/158.03 (step @p2785 :rule eq-symm :args (@t357 tptp.mono_2Ec_2Ebool_2EF)) % 150.71/158.03 (step @p2786 :rule eq-symm :args (@t358 tptp.mono_2Ec_2Ebool_2EF)) % 150.71/158.03 (step @p2787 :rule eq-symm :args (@t359 tptp.mono_2Ec_2Ebool_2ET)) % 150.71/158.03 (step @p2788 :rule nary_cong :premises (@p2787 @p2786 @p2785 @p2784) :args (@t360)) % 150.71/158.03 (step @p2789 :rule cong :premises (@p2788) :args (@t362)) % 150.71/158.03 (step @p2790 :rule trans :premises (@p2789 @p2783)) % 150.71/158.03 (step @p2791 :rule cong :premises (@p2790) :args (@t363)) % 150.71/158.03 (step @p2792 :rule trans :premises (@p2791 @p2290 @p2263 @p2262)) % 150.71/158.03 (step @p2793 :rule eq_resolve :premises (@p48 @p2792)) % 150.71/158.03 (step @p2794 :rule not_and :premises (@p2793)) % 150.71/158.03 (step @p2795 :rule chain_m_resolution :premises (@p2794 @p2255 @p2219 @p2206) :args (@t1357 (@list false false false) (@list @t1185 @t394 @t1130))) % 150.71/158.03 (step @p2796 :rule refl :args (@t1365)) % 150.71/158.03 (step @p2797 :rule bool-double-not-elim :args (@t1100)) % 150.71/158.03 (step @p2798 :rule nary_cong :premises (@p2797 @p2796) :args ((or (not @t1357) @t1365))) % 150.71/158.03 (assume-push @p3045 @t1357) % 150.71/158.03 (step @p2800 :rule skolemize :premises (@p3045)) % 150.71/158.03 (step-pop @p3046 :rule scope :premises (@p2800)) % 150.71/158.03 (step @p2801 :rule process_scope :premises (@p3046) :args (@t1365)) % 150.71/158.03 (step @p2803 :rule implies_elim :premises (@p2801)) % 150.71/158.03 (step @p2804 :rule eq_resolve :premises (@p2803 @p2798)) % 150.71/158.03 (step @p2805 :rule chain_m_resolution :premises (@p2804 @p2795) :args (@t1365 @t1054 (@list @t1100))) % 150.71/158.03 (step @p2806 :rule cnf_equiv_neg2 :args (@t1364)) % 150.71/158.03 (step @p2807 :rule refl :args (@t1368)) % 150.71/158.03 (step @p2808 :rule eq-symm :args (@t1369 @t1360)) % 150.71/158.03 (step @p2809 :rule cong :premises (@p2808) :args (@t1370)) % 150.71/158.03 (step @p2810 :rule eq-symm :args (@t1371 @t1362)) % 150.71/158.03 (step @p2811 :rule cong :premises (@p2810) :args (@t1372)) % 150.71/158.03 (step @p2812 :rule nary_cong :premises (@p2811 @p2809 @p2807) :args (@t1373)) % 150.71/158.03 (step @p2813 :rule cong :premises (@p2812) :args (@t1374)) % 150.71/158.03 (step @p2814 :rule cong :premises (@p2813) :args (@t1375)) % 150.71/158.03 (step @p2815 :rule refl :args (@t1378)) % 150.71/158.03 (step @p2816 :rule nary_cong :premises (@p2815 @p2814) :args (@t1379)) % 150.71/158.03 (step @p2817 :rule refl :args (@t1363)) % 150.71/158.03 (step @p2818 :rule cong :premises (@p2817 @p2816) :args (@t1380)) % 150.71/158.03 (step @p2819 :rule cong :premises (@p420 @p2818) :args ((=> @t495 @t1380))) % 150.71/158.03 (assume-push @p3047 @t495) % 150.71/158.03 (step @p2821 :rule instantiate :premises (@p404) :args ((@list @t1102 @t1102 @t1107 @t1361 @t1358))) % 150.71/158.03 (step-pop @p3048 :rule scope :premises (@p2821)) % 150.71/158.03 (step @p2822 :rule process_scope :premises (@p3048) :args (@t1380)) % 150.71/158.03 (step @p2824 :rule eq_resolve :premises (@p2822 @p2819)) % 150.71/158.03 (step @p2825 :rule implies_elim :premises (@p2824)) % 150.71/158.03 (step @p2826 :rule chain_m_resolution :premises (@p2825 @p404) :args (@t1384 @t415 @t500)) % 150.71/158.03 (step @p2827 :rule cnf_equiv_pos2 :args (@t1384)) % 150.71/158.03 (step @p2828 :rule reordering :premises (@p2827) :args ((or @t1363 @t1386 @t1385))) % 150.71/158.03 (step @p2829 :rule bool-double-not-elim :args (@t1381)) % 150.71/158.03 (step @p2830 :rule refl :args (@t1383)) % 150.71/158.03 (step @p2831 :rule nary_cong :premises (@p2830 @p2829) :args ((or @t1383 @t1387))) % 150.71/158.03 (step @p2832 :rule cnf_or_neg :args (@t1383 1)) % 150.71/158.03 (step @p2833 :rule eq_resolve :premises (@p2832 @p2831)) % 150.71/158.03 (step @p2834 :rule reordering :premises (@p2833) :args ((or @t1381 @t1383))) % 150.71/158.03 (step @p2835 :rule aci_norm :args ((= (or false false @t1388) @t1388))) % 150.71/158.03 (step @p2836 :rule refl :args (@t1388)) % 150.71/158.03 (step @p2837 :rule evaluate :args ((not true))) % 150.71/158.03 (step @p2838 :rule eq-refl :args (@t1360)) % 150.71/158.03 (step @p2839 :rule cong :premises (@p2838) :args (@t1389)) % 150.71/158.03 (step @p2840 :rule trans :premises (@p2839 @p2837)) % 150.71/158.03 (step @p2841 :rule eq-refl :args (@t1362)) % 150.71/158.03 (step @p2842 :rule cong :premises (@p2841) :args (@t1390)) % 150.71/158.03 (step @p2843 :rule trans :premises (@p2842 @p2837)) % 150.71/158.03 (step @p2844 :rule nary_cong :premises (@p2843 @p2840 @p2836) :args (@t1391)) % 150.71/158.03 (step @p2845 :rule trans :premises (@p2844 @p2835)) % 150.71/158.03 (step @p2846 :rule refl :args (@t1381)) % 150.71/158.03 (step @p2847 :rule cong :premises (@p2846 @p2845) :args ((=> @t1381 @t1391))) % 150.71/158.03 (assume-push @p3049 @t1381) % 150.71/158.03 (step @p2849 :rule instantiate :premises (@p3049) :args ((@list @t1105 @t1101))) % 150.71/158.03 (step-pop @p3050 :rule scope :premises (@p2849)) % 150.71/158.03 (step @p2850 :rule process_scope :premises (@p3050) :args (@t1391)) % 150.71/158.03 (step @p2852 :rule eq_resolve :premises (@p2850 @p2847)) % 150.71/158.03 (step @p2853 :rule implies_elim :premises (@p2852)) % 150.71/158.03 (step @p2854 :rule reordering :premises (@p2853) :args ((or @t1388 @t1382))) % 150.71/158.03 (step @p2855 :rule chain_m_resolution :premises (@p2854 @p2834 @p2828 @p2826 @p2806 @p2805) :args (@t1388 (@list false true false true true) (@list @t1381 @t1383 @t1384 @t1363 @t1364))) % 150.71/158.03 (step @p2856 :rule equiv_elim2 :premises (@p2112)) % 150.71/158.03 (step @p2857 :rule chain_m_resolution :premises (@p2856 @p2855) :args (@t1392 @t1054 (@list @t1115))) % 150.71/158.03 (step @p2858 :rule cnf_equiv_neg1 :args (@t1364)) % 150.71/158.03 (step @p2859 :rule reordering :premises (@p2858) :args ((or @t1115 @t1363 @t1364))) % 150.71/158.03 (step @p2860 :rule chain_m_resolution :premises (@p2859 @p2855 @p2805) :args (@t1363 (@list true true) (@list @t1115 @t1364))) % 150.71/158.03 (step @p2861 :rule cnf_equiv_pos1 :args (@t1384)) % 150.71/158.03 (step @p2862 :rule reordering :premises (@p2861) :args ((or (not @t1363) @t1383 @t1385))) % 150.71/158.03 (step @p2863 :rule chain_m_resolution :premises (@p2862 @p2860 @p2826) :args (@t1383 (@list false false) (@list @t1363 @t1384))) % 150.71/158.03 (step @p2864 :rule instantiate :premises (@p1937) :args (@t1123)) % 150.71/158.03 (step @p2865 :rule cnf_and_pos :args (@t1378 0)) % 150.71/158.03 (step @p2866 :rule reordering :premises (@p2865) :args ((or @t1377 @t1393))) % 150.71/158.03 (step @p2867 :rule chain_m_resolution :premises (@p2866 @p2864) :args (@t1393 @t1054 (@list @t1377))) % 150.71/158.03 (step @p2868 :rule cnf_or_pos :args (@t1383)) % 150.71/158.03 (step @p2869 :rule reordering :premises (@p2868) :args ((or @t1378 @t1382 @t1386))) % 150.71/158.03 (step @p2870 :rule chain_m_resolution :premises (@p2869 @p2867 @p2863) :args (@t1382 @t1057 (@list @t1378 @t1383))) % 150.71/158.03 (step @p2871 :rule refl :args (@t1412)) % 150.71/158.03 (step @p2872 :rule nary_cong :premises (@p2829 @p2871) :args ((or @t1387 @t1412))) % 150.71/158.03 (assume-push @p3051 @t1382) % 150.71/158.03 (step @p2874 :rule skolemize :premises (@p3051)) % 150.71/158.03 (step-pop @p3052 :rule scope :premises (@p2874)) % 150.71/158.03 (step @p2875 :rule process_scope :premises (@p3052) :args (@t1412)) % 150.71/158.03 (step @p2877 :rule implies_elim :premises (@p2875)) % 150.71/158.03 (step @p2878 :rule eq_resolve :premises (@p2877 @p2872)) % 150.71/158.03 (step @p2879 :rule chain_m_resolution :premises (@p2878 @p2870) :args (@t1412 @t1054 (@list @t1381))) % 150.71/158.03 (step @p2880 :rule bool-double-not-elim :args (@t1409)) % 150.71/158.03 (step @p2881 :rule refl :args (@t1411)) % 150.71/158.03 (step @p2882 :rule nary_cong :premises (@p2881 @p2880) :args ((or @t1411 (not @t1410)))) % 150.71/158.03 (step @p2883 :rule cnf_or_neg :args (@t1411 0)) % 150.71/158.03 (step @p2884 :rule eq_resolve :premises (@p2883 @p2882)) % 150.71/158.03 (step @p2885 :rule reordering :premises (@p2884) :args ((or @t1409 @t1411))) % 150.71/158.03 (step @p2886 :rule chain_m_resolution :premises (@p2885 @p2879) :args (@t1409 @t1054 @t1413)) % 150.71/158.03 (step @p2887 :rule bool-double-not-elim :args (@t1406)) % 150.71/158.03 (step @p2888 :rule nary_cong :premises (@p2881 @p2887) :args ((or @t1411 (not @t1407)))) % 150.71/158.03 (step @p2889 :rule cnf_or_neg :args (@t1411 1)) % 150.71/158.03 (step @p2890 :rule eq_resolve :premises (@p2889 @p2888)) % 150.71/158.03 (step @p2891 :rule reordering :premises (@p2890) :args ((or @t1406 @t1411))) % 150.71/158.03 (step @p2892 :rule chain_m_resolution :premises (@p2891 @p2879) :args (@t1406 @t1054 @t1413)) % 150.71/158.03 (step @p2893 :rule bool-double-not-elim :args (@t1403)) % 150.71/158.03 (step @p2894 :rule nary_cong :premises (@p2881 @p2893) :args ((or @t1411 (not @t1404)))) % 150.71/158.03 (step @p2895 :rule cnf_or_neg :args (@t1411 2)) % 150.71/158.03 (step @p2896 :rule eq_resolve :premises (@p2895 @p2894)) % 150.71/158.03 (step @p2897 :rule reordering :premises (@p2896) :args ((or @t1403 @t1411))) % 150.71/158.03 (step @p2898 :rule chain_m_resolution :premises (@p2897 @p2879) :args (@t1403 @t1054 @t1413)) % 150.71/158.03 (step @p2899 :rule instantiate :premises (@p2125) :args ((@list @t1102 @t1396))) % 150.71/158.03 (step @p2900 :rule instantiate :premises (@p2125) :args ((@list @t1102 @t1394))) % 150.71/158.03 (step @p2901 :rule refl :args (@t1417)) % 150.71/158.03 (step @p2902 :rule refl :args (@t1421)) % 150.71/158.03 (step @p2903 :rule refl :args (@t1404)) % 150.71/158.03 (step @p2904 :rule refl :args (@t1407)) % 150.71/158.03 (step @p2905 :rule refl :args (@t1410)) % 150.71/158.03 (step @p2906 :rule refl :args (@t1423)) % 150.71/158.03 (step @p2907 :rule refl :args (@t1425)) % 150.71/158.03 (step @p2908 :rule bool-double-not-elim :args (@t1116)) % 150.71/158.03 (step @p2909 :rule refl :args (@t1426)) % 150.71/158.03 (step @p2910 :rule bool-double-not-elim :args (@t1084)) % 150.71/158.03 (step @p2911 :rule bool-double-not-elim :args (@t410)) % 150.71/158.03 (step @p2912 :rule refl :args (@t1427)) % 150.71/158.03 (step @p2913 :rule nary_cong :premises (@p2209 @p2912 @p2911 @p2910 @p2909 @p2908 @p2907 @p2906 @p2905 @p2904 @p2903 @p2902 @p2901) :args ((or @t1179 @t1427 (not @t1059) (not @t1085) @t1426 (not @t1392) @t1425 @t1423 @t1410 @t1407 @t1404 @t1421 @t1417))) % 150.71/158.03 (assume-push @p3053 @t1058) % 150.71/158.03 (assume-push @p3054 @t414) % 150.71/158.03 (assume-push @p3055 @t1059) % 150.71/158.03 (assume-push @p3056 @t1085) % 150.71/158.03 (assume-push @p3057 @t1392) % 150.71/158.03 (assume-push @p3058 @t1122) % 150.71/158.03 (assume-push @p3059 @t1424) % 150.71/158.03 (assume-push @p3060 @t1409) % 150.71/158.03 (assume-push @p3061 @t1420) % 150.71/158.03 (assume-push @p3062 @t1422) % 150.71/158.03 (assume-push @p3063 @t1406) % 150.71/158.03 (assume-push @p3064 @t1416) % 150.71/158.03 (assume-push @p3065 @t1403) % 150.71/158.03 (step @p2927 :rule evaluate :args ((= true false))) % 150.71/158.03 (step @p2928 :rule false_intro :premises (@p3053)) % 150.71/158.03 (step @p2929 :rule symm :premises (@p117)) % 150.71/158.03 (step @p2930 :rule false_intro :premises (@p3055)) % 150.71/158.03 (step @p2931 :rule symm :premises (@p2930)) % 150.71/158.03 (step @p2932 :rule false_intro :premises (@p2106)) % 150.71/158.03 (step @p2933 :rule trans :premises (@p2932 @p2931)) % 150.71/158.03 (step @p2934 :rule cong :premises (@p103 @p2933) :args (@t1428)) % 150.71/158.03 (step @p2935 :rule cong :premises (@p105 @p2934) :args ((_ @t367 @t366 @t1428))) % 150.71/158.03 (step @p2936 :rule symm :premises (@p2934)) % 150.71/158.03 (step @p2937 :rule false_intro :premises (@p3057)) % 150.71/158.03 (step @p2938 :rule trans :premises (@p2937 @p2931)) % 150.71/158.03 (step @p2939 :rule cong :premises (@p103 @p2938) :args (@t1120)) % 150.71/158.03 (step @p2940 :rule trans :premises (@p2939 @p2936)) % 150.71/158.03 (step @p2941 :rule cong :premises (@p105 @p2940) :args (@t1121)) % 150.71/158.03 (step @p2942 :rule symm :premises (@p2127)) % 150.71/158.03 (step @p2943 :rule symm :premises (@p3063)) % 150.71/158.03 (step @p2944 :rule refl :args (@t564)) % 150.71/158.03 (step @p2945 :rule cong :premises (@p2944 @p2943) :args (@t1414)) % 150.71/158.03 (step @p2946 :rule refl :args (@t1103)) % 150.71/158.03 (step @p2947 :rule cong :premises (@p2946 @p2945) :args (@t1415)) % 150.71/158.03 (step @p2948 :rule trans :premises (@p2900 @p2947 @p2942)) % 150.71/158.03 (step @p2949 :rule symm :premises (@p2126)) % 150.71/158.03 (step @p2950 :rule symm :premises (@p3060)) % 150.71/158.03 (step @p2951 :rule cong :premises (@p2944 @p2950) :args (@t1418)) % 150.71/158.03 (step @p2952 :rule cong :premises (@p2946 @p2951) :args (@t1419)) % 150.71/158.03 (step @p2953 :rule trans :premises (@p2899 @p2952 @p2949)) % 150.71/158.03 (step @p2954 :rule refl :args (@t1111)) % 150.71/158.03 (step @p2955 :rule cong :premises (@p2954 @p2953) :args (@t1398)) % 150.71/158.03 (step @p2956 :rule refl :args (@t1112)) % 150.71/158.03 (step @p2957 :rule cong :premises (@p2956 @p2955) :args (@t1399)) % 150.71/158.03 (step @p2958 :rule refl :args (@t421)) % 150.71/158.03 (step @p2959 :rule cong :premises (@p2958 @p2957) :args (@t1400)) % 150.71/158.03 (step @p2960 :rule cong :premises (@p2959 @p2948) :args (@t1401)) % 150.71/158.03 (step @p2961 :rule cong :premises (@p105 @p2960) :args (@t1402)) % 150.71/158.03 (step @p2962 :rule trans :premises (@p2961 @p2124 @p2941 @p2935 @p2929)) % 150.71/158.03 (step @p2963 :rule refl :args (@t369)) % 150.71/158.03 (step @p2964 :rule cong :premises (@p2963 @p2962) :args (@t1403)) % 150.71/158.03 (step @p2965 :rule true_intro :premises (@p3065)) % 150.71/158.03 (step @p2966 :rule symm :premises (@p2965)) % 150.71/158.03 (step @p2967 :rule trans :premises (@p2966 @p2964 @p2928)) % 150.71/158.03 (step @p2968 false :rule eq_resolve :premises (@p2967 @p2927)) % 150.71/158.03 (step-pop @p3066 :rule scope :premises (@p2968)) % 150.71/158.03 (step-pop @p3067 :rule scope :premises (@p3066)) % 150.71/158.03 (step-pop @p3068 :rule scope :premises (@p3067)) % 150.71/158.03 (step-pop @p3069 :rule scope :premises (@p3068)) % 150.71/158.03 (step-pop @p3070 :rule scope :premises (@p3069)) % 150.71/158.03 (step-pop @p3071 :rule scope :premises (@p3070)) % 150.71/158.03 (step-pop @p3072 :rule scope :premises (@p3071)) % 150.71/158.03 (step-pop @p3073 :rule scope :premises (@p3072)) % 150.71/158.03 (step-pop @p3074 :rule scope :premises (@p3073)) % 150.71/158.03 (step-pop @p3075 :rule scope :premises (@p3074)) % 150.71/158.03 (step-pop @p3076 :rule scope :premises (@p3075)) % 150.71/158.03 (step-pop @p3077 :rule scope :premises (@p3076)) % 150.71/158.03 (step-pop @p3078 :rule scope :premises (@p3077)) % 150.71/158.03 (step @p2969 :rule process_scope :premises (@p3078) :args (false)) % 150.71/158.03 (assume-push @p3079 @t1058) % 150.71/158.03 (assume-push @p3080 @t414) % 150.71/158.03 (assume-push @p3081 @t1059) % 150.71/158.03 (assume-push @p3082 @t1085) % 150.71/158.03 (assume-push @p3083 @t1122) % 150.71/158.03 (assume-push @p3084 @t1392) % 150.71/158.03 (assume-push @p3085 @t1424) % 150.71/158.03 (assume-push @p3086 @t1422) % 150.71/158.03 (assume-push @p3087 @t1409) % 150.71/158.03 (assume-push @p3088 @t1406) % 150.71/158.03 (assume-push @p3089 @t1403) % 150.71/158.03 (assume-push @p3090 @t1420) % 150.71/158.03 (assume-push @p3091 @t1416) % 150.71/158.03 (step @p2996 :rule and_intro :premises (@p3079 @p117 @p3081 @p2106 @p3084 @p2124 @p2126 @p3087 @p2899 @p2127 @p3088 @p2900 @p3089)) % 150.71/158.03 (step-pop @p3092 :rule scope :premises (@p2996)) % 150.71/158.03 (step-pop @p3093 :rule scope :premises (@p3092)) % 150.71/158.03 (step-pop @p3094 :rule scope :premises (@p3093)) % 150.71/158.03 (step-pop @p3095 :rule scope :premises (@p3094)) % 150.71/158.03 (step-pop @p3096 :rule scope :premises (@p3095)) % 150.71/158.03 (step-pop @p3097 :rule scope :premises (@p3096)) % 150.71/158.03 (step-pop @p3098 :rule scope :premises (@p3097)) % 150.71/158.03 (step-pop @p3099 :rule scope :premises (@p3098)) % 150.71/158.03 (step-pop @p3100 :rule scope :premises (@p3099)) % 150.71/158.03 (step-pop @p3101 :rule scope :premises (@p3100)) % 150.71/158.03 (step-pop @p3102 :rule scope :premises (@p3101)) % 150.71/158.03 (step-pop @p3103 :rule scope :premises (@p3102)) % 150.71/158.03 (step-pop @p3104 :rule scope :premises (@p3103)) % 150.71/158.03 (step @p2997 :rule process_scope :premises (@p3104) :args (@t1429)) % 150.71/158.03 (step @p3011 :rule implies_elim :premises (@p2997)) % 150.71/158.03 (step @p3012 :rule resolution :premises (@p3011 @p2969) :args (true @t1429)) % 150.71/158.03 (step @p3013 :rule not_and :premises (@p3012)) % 150.71/158.03 (step @p3014 :rule eq_resolve :premises (@p3013 @p2913)) % 150.71/158.03 (step @p3015 :rule reordering :premises (@p3014) :args ((or @t409 @t410 @t1427 @t1084 @t1116 @t1426 @t1425 @t1423 @t1410 @t1407 @t1404 @t1421 @t1417))) % 150.71/158.03 (step @p3016 false :rule chain_m_resolution :premises (@p3015 @p2900 @p2899 @p2898 @p2892 @p2886 @p2857 @p2127 @p2126 @p2124 @p2106 @p1974 @p1972 @p117) :args (false (@list false false false false false true false false false true true true false) (@list @t1416 @t1420 @t1403 @t1406 @t1409 @t1116 @t1422 @t1424 @t1122 @t1084 @t410 @t409 @t414))) % 150.71/158.03 ) % 150.71/158.03 % SZS output end Proof % 150.71/158.03 % cvc5 exiting %------------------------------------------------------------------------------