%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP011+1 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 63.95s 64.40s % Output : Proof 63.95s % 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/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.14/0.33 % Computer : n028.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Tue Jun 2 03:48:05 EDT 2026 % 0.14/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 63.95/64.40 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 63.95/64.40 --- Run --no-e-matching --full-saturate-quant at 6... % 63.95/64.40 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 63.95/64.40 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 63.95/64.40 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.95/64.40 --- Run --trigger-sel=max --full-saturate-quant at 15... % 63.95/64.40 % SZS status Theorem % 63.95/64.40 % SZS output start Proof % 63.95/64.40 ( % 63.95/64.40 (declare-sort $$unsorted 0) % 63.95/64.40 (declare-const tptp.c_2Eoption_2Eoption__CASE_2E3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.95/64.40 (declare-const tptp.c_2Eoption_2EOPTREL_2E3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.95/64.40 (declare-const tptp.c_2Eoption_2EOPTION__MAP_2E0 $$unsorted) % 63.95/64.40 (declare-const tptp.c_2Eoption_2ETHE_2E1 (-> $$unsorted $$unsorted)) % 63.95/64.40 (declare-const tptp.c_2Eoption_2ETHE_2E0 $$unsorted) % 63.95/64.40 (declare-const tptp.c_2Eoption_2EOPTREL_2E0 $$unsorted) % 63.95/64.40 (declare-const tptp.c_2Eoption_2EOPTION__JOIN_2E1 (-> $$unsorted $$unsorted)) % 63.95/64.40 (declare-const tptp.c_2Eoption_2ESOME_2E1 (-> $$unsorted $$unsorted)) % 63.95/64.40 (declare-const tptp.c_2Eoption_2ESOME_2E0 $$unsorted) % 63.95/64.40 (declare-const tptp.c_2Eoption_2Eoption__CASE_2E0 $$unsorted) % 63.95/64.40 (declare-const tptp.combin_s_2E0 $$unsorted) % 63.95/64.40 (declare-const tptp.combin_k_2E0 $$unsorted) % 63.95/64.40 (declare-const tptp.tyop_2Eoption_2Eoption (-> $$unsorted $$unsorted)) % 63.95/64.40 (declare-const tptp.c_2Eoption_2ENONE_2E0 $$unsorted) % 63.95/64.40 (declare-const tptp.combin_i_2E0 $$unsorted) % 63.95/64.40 (declare-const tptp.p (-> $$unsorted Bool)) % 63.95/64.40 (declare-const tptp.tyop_2Emin_2Ebool $$unsorted) % 63.95/64.40 (declare-const tptp.c_2Emin_2E_3D_3D_3E_2E0 $$unsorted) % 63.95/64.40 (declare-const tptp.c_2Ebool_2E_7E_2E1 (-> $$unsorted $$unsorted)) % 63.95/64.40 (declare-const tptp.c_2Ebool_2EF_2E0 $$unsorted) % 63.95/64.40 (declare-const tptp.s (-> $$unsorted $$unsorted $$unsorted)) % 63.95/64.40 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> $$unsorted $$unsorted)) % 63.95/64.40 (declare-const tptp.c_2Eoption_2EOPTION__JOIN_2E0 $$unsorted) % 63.95/64.40 (declare-const tptp.c_2Ebool_2ET_2E0 $$unsorted) % 63.95/64.40 (declare-const tptp.c_2Ebool_2E_2F_5C_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 63.95/64.40 (declare-const tptp.c_2Eoption_2EIS__NONE_2E1 (-> $$unsorted $$unsorted)) % 63.95/64.40 (declare-const tptp.tyop_2Emin_2Efun (-> $$unsorted $$unsorted $$unsorted)) % 63.95/64.40 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 63.95/64.40 (declare-const tptp.c_2Eoption_2EIS__NONE_2E0 $$unsorted) % 63.95/64.40 (declare-const tptp.c_2Eoption_2EOPTION__MAP_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 63.95/64.40 (declare-const tptp.c_2Eoption_2EIS__SOME_2E0 $$unsorted) % 63.95/64.40 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> $$unsorted $$unsorted)) % 63.95/64.40 (declare-const tptp.app_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 63.95/64.40 (declare-const tptp.c_2Ebool_2E_2F_5C_2E0 $$unsorted) % 63.95/64.40 (declare-const tptp.c_2Ebool_2E_7E_2E0 $$unsorted) % 63.95/64.40 (declare-const tptp.c_2Emin_2E_3D_3D_3E_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 63.95/64.40 (declare-const tptp.c_2Ebool_2E_5C_2F_2E0 $$unsorted) % 63.95/64.40 (declare-const tptp.c_2Emin_2E_3D_2E0 $$unsorted) % 63.95/64.40 (declare-const tptp.c_2Ebool_2E_5C_2F_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 63.95/64.40 (declare-const tptp.c_2Ebool_2E_21_2E0 $$unsorted) % 63.95/64.40 (declare-const tptp.c_2Ebool_2E_3F_2E0 $$unsorted) % 63.95/64.40 (declare-const tptp.c_2Eoption_2EIS__SOME_2E1 (-> $$unsorted $$unsorted)) % 63.95/64.40 (define @t1 () (@var "V1g_2E0" $$unsorted)) % 63.95/64.40 (define @t2 () (@var "A_27b" $$unsorted)) % 63.95/64.40 (define @t3 () (@var "A_27a" $$unsorted)) % 63.95/64.40 (define @t4 () (tptp.tyop_2Emin_2Efun @t3 @t2)) % 63.95/64.40 (define @t5 () (tptp.s @t4 @t1)) % 63.95/64.40 (define @t6 () (@var "V0f_2E0" $$unsorted)) % 63.95/64.40 (define @t7 () (tptp.s @t4 @t6)) % 63.95/64.40 (define @t8 () (@var "V2x_2E0" $$unsorted)) % 63.95/64.40 (define @t9 () (tptp.s @t3 @t8)) % 63.95/64.40 (define @t10 () (tptp.s @t2 (tptp.app_2E2 @t5 @t9))) % 63.95/64.40 (define @t11 () (@var "V1_2E0" $$unsorted)) % 63.95/64.40 (define @t12 () (tptp.s tptp.tyop_2Emin_2Ebool @t11)) % 63.95/64.40 (define @t13 () (@var "V0_2E0" $$unsorted)) % 63.95/64.40 (define @t14 () (tptp.s tptp.tyop_2Emin_2Ebool @t13)) % 63.95/64.40 (define @t15 () (tptp.p @t12)) % 63.95/64.40 (define @t16 () (tptp.p @t14)) % 63.95/64.40 (define @t17 () (@list @t13 @t11)) % 63.95/64.40 (define @t18 () (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)) % 63.95/64.40 (define @t19 () (tptp.p @t18)) % 63.95/64.40 (define @t20 () (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)) % 63.95/64.40 (define @t21 () (tptp.p @t20)) % 63.95/64.40 (define @t22 () (not @t21)) % 63.95/64.40 (define @t23 () (@var "V0t_2E0" $$unsorted)) % 63.95/64.40 (define @t24 () (tptp.s tptp.tyop_2Emin_2Ebool @t23)) % 63.95/64.40 (define @t25 () (= @t24 @t20)) % 63.95/64.40 (define @t26 () (= @t24 @t18)) % 63.95/64.40 (define @t27 () (or @t26 @t25)) % 63.95/64.40 (define @t28 () (@list @t23)) % 63.95/64.40 (define @t29 () (forall @t28 @t27)) % 63.95/64.40 (define @t30 () (@var "V0x_2E0" $$unsorted)) % 63.95/64.40 (define @t31 () (tptp.s @t3 @t30)) % 63.95/64.40 (define @t32 () (@list @t3 @t30)) % 63.95/64.40 (define @t33 () (@var "V1y_2E0" $$unsorted)) % 63.95/64.40 (define @t34 () (tptp.tyop_2Emin_2Efun @t2 @t3)) % 63.95/64.40 (define @t35 () (@var "A_27c" $$unsorted)) % 63.95/64.40 (define @t36 () (tptp.tyop_2Emin_2Efun @t2 @t35)) % 63.95/64.40 (define @t37 () (tptp.tyop_2Emin_2Efun @t3 @t36)) % 63.95/64.40 (define @t38 () (tptp.s @t37 @t6)) % 63.95/64.40 (define @t39 () (tptp.tyop_2Emin_2Efun @t3 @t35)) % 63.95/64.40 (define @t40 () (tptp.tyop_2Emin_2Efun @t4 @t39)) % 63.95/64.40 (define @t41 () (tptp.s @t3 @t11)) % 63.95/64.40 (define @t42 () (tptp.s @t3 @t13)) % 63.95/64.40 (define @t43 () (@var "V1x_2E0" $$unsorted)) % 63.95/64.40 (define @t44 () (tptp.s @t3 @t43)) % 63.95/64.40 (define @t45 () (tptp.tyop_2Emin_2Efun @t3 tptp.tyop_2Emin_2Ebool)) % 63.95/64.40 (define @t46 () (tptp.s @t45 @t6)) % 63.95/64.40 (define @t47 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t46 @t44)))) % 63.95/64.40 (define @t48 () (@list @t43)) % 63.95/64.40 (define @t49 () (@list @t3 @t6)) % 63.95/64.40 (define @t50 () (@var "X1_2E0" $$unsorted)) % 63.95/64.40 (define @t51 () (tptp.s tptp.tyop_2Emin_2Ebool @t50)) % 63.95/64.40 (define @t52 () (@var "X0_2E0" $$unsorted)) % 63.95/64.40 (define @t53 () (tptp.s tptp.tyop_2Emin_2Ebool @t52)) % 63.95/64.40 (define @t54 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) % 63.95/64.40 (define @t55 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t54)) % 63.95/64.40 (define @t56 () (tptp.p @t51)) % 63.95/64.40 (define @t57 () (tptp.p @t53)) % 63.95/64.40 (define @t58 () (@list @t52 @t50)) % 63.95/64.40 (define @t59 () (tptp.s @t3 @t50)) % 63.95/64.40 (define @t60 () (tptp.s @t3 @t52)) % 63.95/64.40 (define @t61 () (tptp.tyop_2Emin_2Efun @t3 @t45)) % 63.95/64.40 (define @t62 () (tptp.s @t45 @t52)) % 63.95/64.40 (define @t63 () (tptp.tyop_2Emin_2Efun @t45 tptp.tyop_2Emin_2Ebool)) % 63.95/64.40 (define @t64 () (@list @t3 @t52)) % 63.95/64.40 (define @t65 () (tptp.tyop_2Eoption_2Eoption @t3)) % 63.95/64.40 (define @t66 () (tptp.s @t65 @t52)) % 63.95/64.40 (define @t67 () (tptp.tyop_2Emin_2Efun @t65 tptp.tyop_2Emin_2Ebool)) % 63.95/64.40 (define @t68 () (tptp.tyop_2Emin_2Efun @t3 @t65)) % 63.95/64.40 (define @t69 () (tptp.s @t68 tptp.c_2Eoption_2ESOME_2E0)) % 63.95/64.40 (define @t70 () (tptp.tyop_2Eoption_2Eoption @t65)) % 63.95/64.40 (define @t71 () (tptp.s @t70 @t52)) % 63.95/64.40 (define @t72 () (tptp.s @t2 @t52)) % 63.95/64.40 (define @t73 () (tptp.tyop_2Eoption_2Eoption @t2)) % 63.95/64.40 (define @t74 () (tptp.s @t65 @t50)) % 63.95/64.40 (define @t75 () (tptp.s @t4 @t52)) % 63.95/64.40 (define @t76 () (tptp.tyop_2Emin_2Efun @t65 @t73)) % 63.95/64.40 (define @t77 () (@var "X2_2E0" $$unsorted)) % 63.95/64.40 (define @t78 () (tptp.s @t65 @t77)) % 63.95/64.40 (define @t79 () (tptp.s @t61 @t52)) % 63.95/64.40 (define @t80 () (tptp.tyop_2Emin_2Efun @t65 @t67)) % 63.95/64.40 (define @t81 () (@list @t3 @t52 @t50 @t77)) % 63.95/64.40 (define @t82 () (tptp.s @t73 @t77)) % 63.95/64.40 (define @t83 () (tptp.tyop_2Emin_2Efun @t2 tptp.tyop_2Emin_2Ebool)) % 63.95/64.40 (define @t84 () (tptp.tyop_2Emin_2Efun @t3 @t83)) % 63.95/64.40 (define @t85 () (tptp.s @t84 @t52)) % 63.95/64.40 (define @t86 () (tptp.tyop_2Emin_2Efun @t73 tptp.tyop_2Emin_2Ebool)) % 63.95/64.40 (define @t87 () (tptp.tyop_2Emin_2Efun @t65 @t86)) % 63.95/64.40 (define @t88 () (@list @t3 @t2 @t52 @t50 @t77)) % 63.95/64.40 (define @t89 () (tptp.s @t4 @t77)) % 63.95/64.40 (define @t90 () (tptp.s @t2 @t50)) % 63.95/64.40 (define @t91 () (tptp.tyop_2Emin_2Efun @t4 @t2)) % 63.95/64.40 (define @t92 () (tptp.tyop_2Emin_2Efun @t2 @t91)) % 63.95/64.40 (define @t93 () (tptp.s @t68 @t77)) % 63.95/64.40 (define @t94 () (tptp.tyop_2Emin_2Efun @t68 @t65)) % 63.95/64.40 (define @t95 () (tptp.tyop_2Emin_2Efun @t65 @t94)) % 63.95/64.40 (define @t96 () (@var "V1t2_2E0" $$unsorted)) % 63.95/64.40 (define @t97 () (tptp.s tptp.tyop_2Emin_2Ebool @t96)) % 63.95/64.40 (define @t98 () (@var "V0t1_2E0" $$unsorted)) % 63.95/64.40 (define @t99 () (tptp.s tptp.tyop_2Emin_2Ebool @t98)) % 63.95/64.40 (define @t100 () (tptp.p @t99)) % 63.95/64.40 (define @t101 () (tptp.p @t97)) % 63.95/64.40 (define @t102 () (tptp.p @t24)) % 63.95/64.40 (define @t103 () (not @t19)) % 63.95/64.40 (define @t104 () (not @t102)) % 63.95/64.40 (define @t105 () (= @t25 @t104)) % 63.95/64.40 (define @t106 () (= @t20 @t24)) % 63.95/64.40 (define @t107 () (= @t26 @t102)) % 63.95/64.40 (define @t108 () (= @t18 @t24)) % 63.95/64.40 (define @t109 () (and (= @t108 @t102) @t107 (= @t106 @t104) @t105)) % 63.95/64.40 (define @t110 () (forall @t28 @t109)) % 63.95/64.40 (define @t111 () (@var "V25x_2E0" $$unsorted)) % 63.95/64.40 (define @t112 () (tptp.s @t65 @t111)) % 63.95/64.40 (define @t113 () (tptp.s @t65 (tptp.c_2Eoption_2EOPTION__JOIN_2E1 (tptp.s @t70 (tptp.c_2Eoption_2ESOME_2E1 @t112))))) % 63.95/64.40 (define @t114 () (@list @t111)) % 63.95/64.40 (define @t115 () (forall @t114 (= @t113 @t112))) % 63.95/64.40 (define @t116 () (tptp.s @t65 tptp.c_2Eoption_2ENONE_2E0)) % 63.95/64.40 (define @t117 () (tptp.s @t65 (tptp.c_2Eoption_2EOPTION__JOIN_2E1 (tptp.s @t70 tptp.c_2Eoption_2ENONE_2E0)))) % 63.95/64.40 (define @t118 () (tptp.s @t73 tptp.c_2Eoption_2ENONE_2E0)) % 63.95/64.40 (define @t119 () (@var "V24f_2E0" $$unsorted)) % 63.95/64.40 (define @t120 () (@list @t119)) % 63.95/64.40 (define @t121 () (forall @t120 (= (tptp.s @t73 (tptp.c_2Eoption_2EOPTION__MAP_2E2 (tptp.s @t4 @t119) @t116)) @t118))) % 63.95/64.40 (define @t122 () (@var "V23x_2E0" $$unsorted)) % 63.95/64.40 (define @t123 () (tptp.s @t3 @t122)) % 63.95/64.40 (define @t124 () (@var "V22f_2E0" $$unsorted)) % 63.95/64.40 (define @t125 () (tptp.s @t4 @t124)) % 63.95/64.40 (define @t126 () (@list @t124 @t122)) % 63.95/64.40 (define @t127 () (forall @t126 (= (tptp.s @t73 (tptp.c_2Eoption_2EOPTION__MAP_2E2 @t125 (tptp.s @t65 (tptp.c_2Eoption_2ESOME_2E1 @t123)))) (tptp.s @t73 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t2 (tptp.app_2E2 @t125 @t123))))))) % 63.95/64.40 (define @t128 () (@var "V19x_2E0" $$unsorted)) % 63.95/64.40 (define @t129 () (tptp.s @t3 @t128)) % 63.95/64.40 (define @t130 () (@var "V21f_2E0" $$unsorted)) % 63.95/64.40 (define @t131 () (tptp.s @t4 @t130)) % 63.95/64.40 (define @t132 () (@var "V20v_2E0" $$unsorted)) % 63.95/64.40 (define @t133 () (@list @t128 @t132 @t130)) % 63.95/64.40 (define @t134 () (forall @t133 (= (tptp.s @t2 (tptp.c_2Eoption_2Eoption__CASE_2E3 (tptp.s @t65 (tptp.c_2Eoption_2ESOME_2E1 @t129)) (tptp.s @t2 @t132) @t131)) (tptp.s @t2 (tptp.app_2E2 @t131 @t129))))) % 63.95/64.40 (define @t135 () (@var "V17v_2E0" $$unsorted)) % 63.95/64.40 (define @t136 () (tptp.s @t2 @t135)) % 63.95/64.40 (define @t137 () (@var "V18f_2E0" $$unsorted)) % 63.95/64.40 (define @t138 () (tptp.s @t2 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t116 @t136 (tptp.s @t4 @t137)))) % 63.95/64.40 (define @t139 () (@list @t135 @t137)) % 63.95/64.40 (define @t140 () (forall @t139 (= @t138 @t136))) % 63.95/64.40 (define @t141 () (@var "V16x_2E0" $$unsorted)) % 63.95/64.40 (define @t142 () (tptp.s @t65 @t141)) % 63.95/64.40 (define @t143 () (@var "V1e_2E0" $$unsorted)) % 63.95/64.40 (define @t144 () (tptp.s @t65 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t142 (tptp.s @t65 @t143) @t69))) % 63.95/64.40 (define @t145 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t142)))) % 63.95/64.40 (define @t146 () (=> @t145 (= @t144 @t142))) % 63.95/64.40 (define @t147 () (@list @t141)) % 63.95/64.40 (define @t148 () (forall @t147 @t146)) % 63.95/64.40 (define @t149 () (@var "V15x_2E0" $$unsorted)) % 63.95/64.40 (define @t150 () (tptp.s @t65 @t149)) % 63.95/64.40 (define @t151 () (@var "V2e_2E0" $$unsorted)) % 63.95/64.40 (define @t152 () (tptp.s @t2 @t151)) % 63.95/64.40 (define @t153 () (= (tptp.s @t2 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t150 @t152 @t7)) (tptp.s @t2 (tptp.app_2E2 @t7 (tptp.s @t3 (tptp.c_2Eoption_2ETHE_2E1 @t150)))))) % 63.95/64.40 (define @t154 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t150)))) % 63.95/64.40 (define @t155 () (@list @t149)) % 63.95/64.40 (define @t156 () (forall @t155 (=> @t154 @t153))) % 63.95/64.40 (define @t157 () (@var "V14x_2E0" $$unsorted)) % 63.95/64.40 (define @t158 () (tptp.s @t65 @t157)) % 63.95/64.40 (define @t159 () (tptp.s @t2 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t158 @t152 @t7))) % 63.95/64.40 (define @t160 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__NONE_2E1 @t158)))) % 63.95/64.40 (define @t161 () (=> @t160 (= @t159 @t152))) % 63.95/64.40 (define @t162 () (@list @t157)) % 63.95/64.40 (define @t163 () (forall @t162 @t161)) % 63.95/64.40 (define @t164 () (@var "V13x_2E0" $$unsorted)) % 63.95/64.40 (define @t165 () (tptp.s @t65 @t164)) % 63.95/64.40 (define @t166 () (tptp.s @t65 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t165 @t165 @t69))) % 63.95/64.40 (define @t167 () (@list @t164)) % 63.95/64.40 (define @t168 () (forall @t167 (= @t166 @t165))) % 63.95/64.40 (define @t169 () (@var "V12x_2E0" $$unsorted)) % 63.95/64.40 (define @t170 () (tptp.s @t65 @t169)) % 63.95/64.40 (define @t171 () (tptp.s @t65 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t170 @t116 @t69))) % 63.95/64.40 (define @t172 () (@list @t169)) % 63.95/64.40 (define @t173 () (forall @t172 (= @t171 @t170))) % 63.95/64.40 (define @t174 () (@var "V11x_2E0" $$unsorted)) % 63.95/64.40 (define @t175 () (tptp.s @t65 @t174)) % 63.95/64.40 (define @t176 () (tptp.s @t65 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t3 (tptp.c_2Eoption_2ETHE_2E1 @t175))))) % 63.95/64.40 (define @t177 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t175)))) % 63.95/64.40 (define @t178 () (=> @t177 (= @t176 @t175))) % 63.95/64.40 (define @t179 () (@list @t174)) % 63.95/64.40 (define @t180 () (forall @t179 @t178)) % 63.95/64.40 (define @t181 () (@var "V10x_2E0" $$unsorted)) % 63.95/64.40 (define @t182 () (tptp.s @t65 @t181)) % 63.95/64.40 (define @t183 () (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t182))))) % 63.95/64.40 (define @t184 () (= @t183 (= @t182 @t116))) % 63.95/64.40 (define @t185 () (@list @t181)) % 63.95/64.40 (define @t186 () (forall @t185 @t184)) % 63.95/64.40 (define @t187 () (@var "V9x_2E0" $$unsorted)) % 63.95/64.40 (define @t188 () (tptp.s @t65 @t187)) % 63.95/64.40 (define @t189 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__NONE_2E1 @t188)))) % 63.95/64.40 (define @t190 () (= @t189 (= @t188 @t116))) % 63.95/64.40 (define @t191 () (@list @t187)) % 63.95/64.40 (define @t192 () (forall @t191 @t190)) % 63.95/64.40 (define @t193 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t116))) % 63.95/64.40 (define @t194 () (@var "V8x_2E0" $$unsorted)) % 63.95/64.40 (define @t195 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 (tptp.s @t65 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t3 @t194)))))) % 63.95/64.40 (define @t196 () (@list @t194)) % 63.95/64.40 (define @t197 () (forall @t196 (= @t195 @t18))) % 63.95/64.40 (define @t198 () (@var "V7x_2E0" $$unsorted)) % 63.95/64.40 (define @t199 () (tptp.s @t65 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t3 @t198)))) % 63.95/64.40 (define @t200 () (not (= @t199 @t116))) % 63.95/64.40 (define @t201 () (@list @t198)) % 63.95/64.40 (define @t202 () (forall @t201 @t200)) % 63.95/64.40 (define @t203 () (@var "V6x_2E0" $$unsorted)) % 63.95/64.40 (define @t204 () (@list @t203)) % 63.95/64.40 (define @t205 () (forall @t204 (not (= @t116 (tptp.s @t65 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t3 @t203))))))) % 63.95/64.40 (define @t206 () (@var "V5x_2E0" $$unsorted)) % 63.95/64.40 (define @t207 () (tptp.s @t3 @t206)) % 63.95/64.40 (define @t208 () (tptp.s @t3 (tptp.c_2Eoption_2ETHE_2E1 (tptp.s @t65 (tptp.c_2Eoption_2ESOME_2E1 @t207))))) % 63.95/64.40 (define @t209 () (@list @t206)) % 63.95/64.40 (define @t210 () (forall @t209 (= @t208 @t207))) % 63.95/64.40 (define @t211 () (@var "V4y_2E0" $$unsorted)) % 63.95/64.40 (define @t212 () (tptp.s @t3 @t211)) % 63.95/64.40 (define @t213 () (@var "V3x_2E0" $$unsorted)) % 63.95/64.40 (define @t214 () (tptp.s @t3 @t213)) % 63.95/64.40 (define @t215 () (= (tptp.s @t65 (tptp.c_2Eoption_2ESOME_2E1 @t214)) (tptp.s @t65 (tptp.c_2Eoption_2ESOME_2E1 @t212)))) % 63.95/64.40 (define @t216 () (= @t215 (= @t214 @t212))) % 63.95/64.40 (define @t217 () (@list @t213 @t211)) % 63.95/64.40 (define @t218 () (forall @t217 @t216)) % 63.95/64.40 (define @t219 () (and @t218 @t210 @t205 @t202 @t197 (= @t193 @t20) @t192 @t186 @t180 @t173 @t168 @t163 @t156 @t148 @t140 @t134 @t127 @t121 (= @t117 @t116) @t115)) % 63.95/64.40 (define @t220 () (@list @t3 @t2 @t6 @t143 @t151)) % 63.95/64.40 (define @t221 () (forall @t220 @t219)) % 63.95/64.40 (define @t222 () (@var "V4y0_2E0" $$unsorted)) % 63.95/64.40 (define @t223 () (tptp.s @t2 @t222)) % 63.95/64.40 (define @t224 () (@var "V3x0_2E0" $$unsorted)) % 63.95/64.40 (define @t225 () (tptp.s @t3 @t224)) % 63.95/64.40 (define @t226 () (@var "V0R_2E0" $$unsorted)) % 63.95/64.40 (define @t227 () (tptp.s @t84 @t226)) % 63.95/64.40 (define @t228 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t83 (tptp.app_2E2 @t227 @t225)) @t223)))) % 63.95/64.40 (define @t229 () (@var "V2y_2E0" $$unsorted)) % 63.95/64.40 (define @t230 () (tptp.s @t73 @t229)) % 63.95/64.40 (define @t231 () (= @t230 (tptp.s @t73 (tptp.c_2Eoption_2ESOME_2E1 @t223)))) % 63.95/64.40 (define @t232 () (tptp.s @t65 @t43)) % 63.95/64.40 (define @t233 () (= @t232 (tptp.s @t65 (tptp.c_2Eoption_2ESOME_2E1 @t225)))) % 63.95/64.40 (define @t234 () (and @t233 @t231 @t228)) % 63.95/64.40 (define @t235 () (@list @t224 @t222)) % 63.95/64.40 (define @t236 () (exists @t235 @t234)) % 63.95/64.40 (define @t237 () (and (= @t232 @t116) (= @t230 @t118))) % 63.95/64.40 (define @t238 () (or @t237 @t236)) % 63.95/64.40 (define @t239 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 @t227 @t232 @t230)))) % 63.95/64.40 (define @t240 () (= @t239 @t238)) % 63.95/64.40 (define @t241 () (@list @t3 @t2 @t226 @t43 @t229)) % 63.95/64.40 (define @t242 () (forall @t241 @t240)) % 63.95/64.40 (define @t243 () (@var "V0y_2E0" $$unsorted)) % 63.95/64.40 (define @t244 () (tptp.s @t3 @t243)) % 63.95/64.40 (define @t245 () (@var "V2R_2E0" $$unsorted)) % 63.95/64.40 (define @t246 () (tptp.s @t61 @t245)) % 63.95/64.40 (define @t247 () (tptp.s @t65 (tptp.c_2Eoption_2ESOME_2E1 @t244))) % 63.95/64.40 (define @t248 () (tptp.s @t65 (tptp.c_2Eoption_2ESOME_2E1 @t44))) % 63.95/64.40 (define @t249 () (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 @t246 @t248 @t247)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t45 (tptp.app_2E2 @t246 @t44)) @t244)))) % 63.95/64.40 (define @t250 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 @t246 @t116 @t247))) % 63.95/64.40 (define @t251 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 @t246 @t248 @t116))) % 63.95/64.40 (define @t252 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 @t246 @t116 @t116))) % 63.95/64.40 (define @t253 () (and (= @t252 @t18) (= @t251 @t20) (= @t250 @t20) @t249)) % 63.95/64.40 (define @t254 () (@list @t3 @t243 @t43 @t245)) % 63.95/64.40 (define @t255 () (forall @t254 @t253)) % 63.95/64.40 (define @t256 () (not @t255)) % 63.95/64.40 (define @t257 () (@var "BOUND_VARIABLE_9009" $$unsorted)) % 63.95/64.40 (define @t258 () (@var "BOUND_VARIABLE_9007" $$unsorted)) % 63.95/64.40 (define @t259 () (tptp.s @t258 @t257)) % 63.95/64.40 (define @t260 () (@var "BOUND_VARIABLE_9011" $$unsorted)) % 63.95/64.40 (define @t261 () (tptp.s @t258 @t260)) % 63.95/64.40 (define @t262 () (@var "BOUND_VARIABLE_9013" $$unsorted)) % 63.95/64.40 (define @t263 () (tptp.tyop_2Emin_2Efun @t258 tptp.tyop_2Emin_2Ebool)) % 63.95/64.40 (define @t264 () (tptp.s (tptp.tyop_2Emin_2Efun @t258 @t263) @t262)) % 63.95/64.40 (define @t265 () (tptp.tyop_2Eoption_2Eoption @t258)) % 63.95/64.40 (define @t266 () (forall (@list @t258 @t257 @t260 @t262) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 @t264 (tptp.s @t265 (tptp.c_2Eoption_2ESOME_2E1 @t261)) (tptp.s @t265 (tptp.c_2Eoption_2ESOME_2E1 @t259)))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t263 (tptp.app_2E2 @t264 @t261)) @t259))))) % 63.95/64.40 (define @t267 () (@quantifiers_skolemize @t266 1)) % 63.95/64.40 (define @t268 () (@quantifiers_skolemize @t266 0)) % 63.95/64.40 (define @t269 () (tptp.s @t268 @t267)) % 63.95/64.40 (define @t270 () (@quantifiers_skolemize @t266 2)) % 63.95/64.40 (define @t271 () (tptp.s @t268 @t270)) % 63.95/64.40 (define @t272 () (@quantifiers_skolemize @t266 3)) % 63.95/64.40 (define @t273 () (tptp.tyop_2Emin_2Efun @t268 tptp.tyop_2Emin_2Ebool)) % 63.95/64.40 (define @t274 () (tptp.s (tptp.tyop_2Emin_2Efun @t268 @t273) @t272)) % 63.95/64.40 (define @t275 () (tptp.app_2E2 @t274 @t271)) % 63.95/64.40 (define @t276 () (tptp.s @t273 @t275)) % 63.95/64.40 (define @t277 () (tptp.app_2E2 @t276 @t269)) % 63.95/64.40 (define @t278 () (tptp.c_2Eoption_2ESOME_2E1 @t269)) % 63.95/64.40 (define @t279 () (tptp.tyop_2Eoption_2Eoption @t268)) % 63.95/64.40 (define @t280 () (tptp.s @t279 @t278)) % 63.95/64.40 (define @t281 () (tptp.c_2Eoption_2ESOME_2E1 @t271)) % 63.95/64.40 (define @t282 () (tptp.s @t279 @t281)) % 63.95/64.40 (define @t283 () (tptp.c_2Eoption_2EOPTREL_2E3 @t274 @t282 @t280)) % 63.95/64.40 (define @t284 () (@var "BOUND_VARIABLE_8988" $$unsorted)) % 63.95/64.40 (define @t285 () (@var "BOUND_VARIABLE_8986" $$unsorted)) % 63.95/64.40 (define @t286 () (tptp.tyop_2Eoption_2Eoption @t285)) % 63.95/64.40 (define @t287 () (@var "BOUND_VARIABLE_8992" $$unsorted)) % 63.95/64.40 (define @t288 () (= @t20 (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 (tptp.s (tptp.tyop_2Emin_2Efun @t285 (tptp.tyop_2Emin_2Efun @t285 tptp.tyop_2Emin_2Ebool)) @t287) (tptp.s @t286 tptp.c_2Eoption_2ENONE_2E0) (tptp.s @t286 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t285 @t284))))))) % 63.95/64.40 (define @t289 () (forall (@list @t285 @t284 @t287) @t288)) % 63.95/64.40 (define @t290 () (@quantifiers_skolemize @t289 1)) % 63.95/64.40 (define @t291 () (@quantifiers_skolemize @t289 0)) % 63.95/64.40 (define @t292 () (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t291 @t290))) % 63.95/64.40 (define @t293 () (tptp.tyop_2Eoption_2Eoption @t291)) % 63.95/64.40 (define @t294 () (tptp.s @t293 @t292)) % 63.95/64.40 (define @t295 () (tptp.s @t293 tptp.c_2Eoption_2ENONE_2E0)) % 63.95/64.40 (define @t296 () (@quantifiers_skolemize @t289 2)) % 63.95/64.40 (define @t297 () (tptp.tyop_2Emin_2Efun @t291 tptp.tyop_2Emin_2Ebool)) % 63.95/64.40 (define @t298 () (tptp.s (tptp.tyop_2Emin_2Efun @t291 @t297) @t296)) % 63.95/64.40 (define @t299 () (tptp.c_2Eoption_2EOPTREL_2E3 @t298 @t295 @t294)) % 63.95/64.40 (define @t300 () (not @t228)) % 63.95/64.40 (define @t301 () (not @t231)) % 63.95/64.40 (define @t302 () (not @t233)) % 63.95/64.40 (define @t303 () (or @t302 @t301 @t300)) % 63.95/64.40 (define @t304 () (forall @t235 (not @t234))) % 63.95/64.40 (define @t305 () (not @t304)) % 63.95/64.40 (define @t306 () (tptp.s @t291 @t222)) % 63.95/64.40 (define @t307 () (tptp.s @t291 @t224)) % 63.95/64.40 (define @t308 () (forall @t235 (or (not (= @t295 (tptp.s @t293 (tptp.c_2Eoption_2ESOME_2E1 @t307)))) (not (= @t294 (tptp.s @t293 (tptp.c_2Eoption_2ESOME_2E1 @t306)))) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t297 (tptp.app_2E2 @t298 @t307)) @t306))))))) % 63.95/64.40 (define @t309 () (not @t308)) % 63.95/64.40 (define @t310 () (= @t295 @t294)) % 63.95/64.40 (define @t311 () (and (= @t295 @t295) @t310)) % 63.95/64.40 (define @t312 () (or @t311 @t309)) % 63.95/64.40 (define @t313 () (tptp.s tptp.tyop_2Emin_2Ebool @t299)) % 63.95/64.40 (define @t314 () (tptp.p @t313)) % 63.95/64.40 (define @t315 () (= @t314 @t312)) % 63.95/64.40 (define @t316 () (forall @t241 (= @t239 (or (and (= @t116 @t232) (= @t118 @t230)) (not (forall @t235 @t303)))))) % 63.95/64.40 (define @t317 () (or @t310 @t309)) % 63.95/64.40 (define @t318 () (= @t314 @t317)) % 63.95/64.40 (define @t319 () (@list false)) % 63.95/64.40 (define @t320 () (@list @t316)) % 63.95/64.40 (define @t321 () (@var "BOUND_VARIABLE_8817" $$unsorted)) % 63.95/64.40 (define @t322 () (tptp.tyop_2Eoption_2Eoption @t321)) % 63.95/64.40 (define @t323 () (tptp.s @t322 @t111)) % 63.95/64.40 (define @t324 () (= @t323 (tptp.s @t322 (tptp.c_2Eoption_2EOPTION__JOIN_2E1 (tptp.s (tptp.tyop_2Eoption_2Eoption @t322) (tptp.c_2Eoption_2ESOME_2E1 @t323)))))) % 63.95/64.40 (define @t325 () (@var "BOUND_VARIABLE_8825" $$unsorted)) % 63.95/64.40 (define @t326 () (@var "BOUND_VARIABLE_8823" $$unsorted)) % 63.95/64.40 (define @t327 () (@var "BOUND_VARIABLE_8821" $$unsorted)) % 63.95/64.40 (define @t328 () (@var "BOUND_VARIABLE_8819" $$unsorted)) % 63.95/64.40 (define @t329 () (forall (@list @t321 @t328 @t327 @t326 @t325 @t111) @t324)) % 63.95/64.40 (define @t330 () (forall (@list @t321 @t328 @t327 @t326 @t325) (forall @t114 @t324))) % 63.95/64.40 (define @t331 () (@var "BOUND_VARIABLE_8797" $$unsorted)) % 63.95/64.40 (define @t332 () (tptp.tyop_2Eoption_2Eoption @t331)) % 63.95/64.40 (define @t333 () (= (tptp.s @t332 tptp.c_2Eoption_2ENONE_2E0) (tptp.s @t332 (tptp.c_2Eoption_2EOPTION__JOIN_2E1 (tptp.s (tptp.tyop_2Eoption_2Eoption @t332) tptp.c_2Eoption_2ENONE_2E0))))) % 63.95/64.40 (define @t334 () (@var "BOUND_VARIABLE_8805" $$unsorted)) % 63.95/64.40 (define @t335 () (@var "BOUND_VARIABLE_8803" $$unsorted)) % 63.95/64.40 (define @t336 () (@var "BOUND_VARIABLE_8801" $$unsorted)) % 63.95/64.40 (define @t337 () (@var "BOUND_VARIABLE_8799" $$unsorted)) % 63.95/64.40 (define @t338 () (forall (@list @t331 @t337 @t336 @t335 @t334) @t333)) % 63.95/64.40 (define @t339 () (@var "BOUND_VARIABLE_8776" $$unsorted)) % 63.95/64.40 (define @t340 () (tptp.tyop_2Eoption_2Eoption @t339)) % 63.95/64.40 (define @t341 () (@var "BOUND_VARIABLE_8774" $$unsorted)) % 63.95/64.40 (define @t342 () (= (tptp.s @t340 (tptp.c_2Eoption_2EOPTION__MAP_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t341 @t339) @t119) (tptp.s (tptp.tyop_2Eoption_2Eoption @t341) tptp.c_2Eoption_2ENONE_2E0))) (tptp.s @t340 tptp.c_2Eoption_2ENONE_2E0))) % 63.95/64.40 (define @t343 () (@var "BOUND_VARIABLE_8782" $$unsorted)) % 63.95/64.40 (define @t344 () (@var "BOUND_VARIABLE_8780" $$unsorted)) % 63.95/64.40 (define @t345 () (@var "BOUND_VARIABLE_8778" $$unsorted)) % 63.95/64.40 (define @t346 () (forall (@list @t341 @t339 @t345 @t344 @t343 @t119) @t342)) % 63.95/64.40 (define @t347 () (forall (@list @t341 @t339 @t345 @t344 @t343) (forall @t120 @t342))) % 63.95/64.40 (define @t348 () (@var "BOUND_VARIABLE_8746" $$unsorted)) % 63.95/64.40 (define @t349 () (tptp.s @t348 @t122)) % 63.95/64.40 (define @t350 () (@var "BOUND_VARIABLE_8748" $$unsorted)) % 63.95/64.40 (define @t351 () (tptp.s (tptp.tyop_2Emin_2Efun @t348 @t350) @t124)) % 63.95/64.40 (define @t352 () (tptp.tyop_2Eoption_2Eoption @t350)) % 63.95/64.40 (define @t353 () (= (tptp.s @t352 (tptp.c_2Eoption_2EOPTION__MAP_2E2 @t351 (tptp.s (tptp.tyop_2Eoption_2Eoption @t348) (tptp.c_2Eoption_2ESOME_2E1 @t349)))) (tptp.s @t352 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t350 (tptp.app_2E2 @t351 @t349)))))) % 63.95/64.40 (define @t354 () (@var "BOUND_VARIABLE_8754" $$unsorted)) % 63.95/64.40 (define @t355 () (@var "BOUND_VARIABLE_8752" $$unsorted)) % 63.95/64.40 (define @t356 () (@var "BOUND_VARIABLE_8750" $$unsorted)) % 63.95/64.40 (define @t357 () (forall (@list @t348 @t350 @t356 @t355 @t354 @t124 @t122) @t353)) % 63.95/64.40 (define @t358 () (forall (@list @t348 @t350 @t356 @t355 @t354) (forall @t126 @t353))) % 63.95/64.40 (define @t359 () (@var "BOUND_VARIABLE_8720" $$unsorted)) % 63.95/64.40 (define @t360 () (tptp.s @t359 @t128)) % 63.95/64.40 (define @t361 () (@var "BOUND_VARIABLE_8722" $$unsorted)) % 63.95/64.40 (define @t362 () (tptp.s (tptp.tyop_2Emin_2Efun @t359 @t361) @t130)) % 63.95/64.40 (define @t363 () (= (tptp.s @t361 (tptp.c_2Eoption_2Eoption__CASE_2E3 (tptp.s (tptp.tyop_2Eoption_2Eoption @t359) (tptp.c_2Eoption_2ESOME_2E1 @t360)) (tptp.s @t361 @t132) @t362)) (tptp.s @t361 (tptp.app_2E2 @t362 @t360)))) % 63.95/64.40 (define @t364 () (@var "BOUND_VARIABLE_8728" $$unsorted)) % 63.95/64.40 (define @t365 () (@var "BOUND_VARIABLE_8726" $$unsorted)) % 63.95/64.40 (define @t366 () (@var "BOUND_VARIABLE_8724" $$unsorted)) % 63.95/64.40 (define @t367 () (forall (@list @t359 @t361 @t366 @t365 @t364 @t128 @t132 @t130) @t363)) % 63.95/64.40 (define @t368 () (forall (@list @t359 @t361 @t366 @t365 @t364) (forall @t133 @t363))) % 63.95/64.40 (define @t369 () (@var "BOUND_VARIABLE_8700" $$unsorted)) % 63.95/64.40 (define @t370 () (@var "BOUND_VARIABLE_8698" $$unsorted)) % 63.95/64.40 (define @t371 () (tptp.s @t369 @t135)) % 63.95/64.40 (define @t372 () (= @t371 (tptp.s @t369 (tptp.c_2Eoption_2Eoption__CASE_2E3 (tptp.s (tptp.tyop_2Eoption_2Eoption @t370) tptp.c_2Eoption_2ENONE_2E0) @t371 (tptp.s (tptp.tyop_2Emin_2Efun @t370 @t369) @t137))))) % 63.95/64.40 (define @t373 () (@var "BOUND_VARIABLE_8706" $$unsorted)) % 63.95/64.41 (define @t374 () (@var "BOUND_VARIABLE_8704" $$unsorted)) % 63.95/64.41 (define @t375 () (@var "BOUND_VARIABLE_8702" $$unsorted)) % 63.95/64.41 (define @t376 () (forall (@list @t370 @t369 @t375 @t374 @t373 @t135 @t137) @t372)) % 63.95/64.41 (define @t377 () (forall (@list @t370 @t369 @t375 @t374 @t373) (forall @t139 @t372))) % 63.95/64.41 (define @t378 () (@var "BOUND_VARIABLE_8671" $$unsorted)) % 63.95/64.41 (define @t379 () (tptp.tyop_2Eoption_2Eoption @t378)) % 63.95/64.41 (define @t380 () (@var "BOUND_VARIABLE_8677" $$unsorted)) % 63.95/64.41 (define @t381 () (tptp.s @t379 @t141)) % 63.95/64.41 (define @t382 () (or (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t381)))) (= @t381 (tptp.s @t379 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t381 (tptp.s @t379 @t380) (tptp.s (tptp.tyop_2Emin_2Efun @t378 @t379) tptp.c_2Eoption_2ESOME_2E0)))))) % 63.95/64.41 (define @t383 () (@var "BOUND_VARIABLE_8679" $$unsorted)) % 63.95/64.41 (define @t384 () (@var "BOUND_VARIABLE_8675" $$unsorted)) % 63.95/64.41 (define @t385 () (@var "BOUND_VARIABLE_8673" $$unsorted)) % 63.95/64.41 (define @t386 () (forall (@list @t378 @t385 @t384 @t380 @t383 @t141) @t382)) % 63.95/64.41 (define @t387 () (forall (@list @t378 @t385 @t384 @t380 @t383) (forall @t147 @t382))) % 63.95/64.41 (define @t388 () (@var "BOUND_VARIABLE_8640" $$unsorted)) % 63.95/64.41 (define @t389 () (tptp.s (tptp.tyop_2Eoption_2Eoption @t388) @t149)) % 63.95/64.41 (define @t390 () (@var "BOUND_VARIABLE_8644" $$unsorted)) % 63.95/64.41 (define @t391 () (@var "BOUND_VARIABLE_8642" $$unsorted)) % 63.95/64.41 (define @t392 () (tptp.s (tptp.tyop_2Emin_2Efun @t388 @t391) @t390)) % 63.95/64.41 (define @t393 () (@var "BOUND_VARIABLE_8648" $$unsorted)) % 63.95/64.41 (define @t394 () (or (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t389)))) (= (tptp.s @t391 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t389 (tptp.s @t391 @t393) @t392)) (tptp.s @t391 (tptp.app_2E2 @t392 (tptp.s @t388 (tptp.c_2Eoption_2ETHE_2E1 @t389))))))) % 63.95/64.41 (define @t395 () (@var "BOUND_VARIABLE_8646" $$unsorted)) % 63.95/64.41 (define @t396 () (forall (@list @t388 @t391 @t390 @t395 @t393 @t149) @t394)) % 63.95/64.41 (define @t397 () (forall (@list @t388 @t391 @t390 @t395 @t393) (forall @t155 @t394))) % 63.95/64.41 (define @t398 () (@var "BOUND_VARIABLE_8617" $$unsorted)) % 63.95/64.41 (define @t399 () (@var "BOUND_VARIABLE_8615" $$unsorted)) % 63.95/64.41 (define @t400 () (@var "BOUND_VARIABLE_8613" $$unsorted)) % 63.95/64.41 (define @t401 () (@var "BOUND_VARIABLE_8621" $$unsorted)) % 63.95/64.41 (define @t402 () (tptp.s @t399 @t401)) % 63.95/64.41 (define @t403 () (tptp.s (tptp.tyop_2Eoption_2Eoption @t400) @t157)) % 63.95/64.41 (define @t404 () (or (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__NONE_2E1 @t403)))) (= @t402 (tptp.s @t399 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t403 @t402 (tptp.s (tptp.tyop_2Emin_2Efun @t400 @t399) @t398)))))) % 63.95/64.41 (define @t405 () (@var "BOUND_VARIABLE_8619" $$unsorted)) % 63.95/64.41 (define @t406 () (forall (@list @t400 @t399 @t398 @t405 @t401 @t157) @t404)) % 63.95/64.41 (define @t407 () (forall (@list @t400 @t399 @t398 @t405 @t401) (forall @t162 @t404))) % 63.95/64.41 (define @t408 () (@var "BOUND_VARIABLE_8593" $$unsorted)) % 63.95/64.41 (define @t409 () (tptp.tyop_2Eoption_2Eoption @t408)) % 63.95/64.41 (define @t410 () (tptp.s @t409 @t164)) % 63.95/64.41 (define @t411 () (= @t410 (tptp.s @t409 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t410 @t410 (tptp.s (tptp.tyop_2Emin_2Efun @t408 @t409) tptp.c_2Eoption_2ESOME_2E0))))) % 63.95/64.41 (define @t412 () (@var "BOUND_VARIABLE_8601" $$unsorted)) % 63.95/64.41 (define @t413 () (@var "BOUND_VARIABLE_8599" $$unsorted)) % 63.95/64.41 (define @t414 () (@var "BOUND_VARIABLE_8597" $$unsorted)) % 63.95/64.41 (define @t415 () (@var "BOUND_VARIABLE_8595" $$unsorted)) % 63.95/64.41 (define @t416 () (forall (@list @t408 @t415 @t414 @t413 @t412 @t164) @t411)) % 63.95/64.41 (define @t417 () (forall (@list @t408 @t415 @t414 @t413 @t412) (forall @t167 @t411))) % 63.95/64.41 (define @t418 () (@var "BOUND_VARIABLE_8571" $$unsorted)) % 63.95/64.41 (define @t419 () (tptp.tyop_2Eoption_2Eoption @t418)) % 63.95/64.41 (define @t420 () (tptp.s @t419 @t169)) % 63.95/64.41 (define @t421 () (= @t420 (tptp.s @t419 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t420 (tptp.s @t419 tptp.c_2Eoption_2ENONE_2E0) (tptp.s (tptp.tyop_2Emin_2Efun @t418 @t419) tptp.c_2Eoption_2ESOME_2E0))))) % 63.95/64.41 (define @t422 () (@var "BOUND_VARIABLE_8579" $$unsorted)) % 63.95/64.41 (define @t423 () (@var "BOUND_VARIABLE_8577" $$unsorted)) % 63.95/64.41 (define @t424 () (@var "BOUND_VARIABLE_8575" $$unsorted)) % 63.95/64.41 (define @t425 () (@var "BOUND_VARIABLE_8573" $$unsorted)) % 63.95/64.41 (define @t426 () (forall (@list @t418 @t425 @t424 @t423 @t422 @t169) @t421)) % 63.95/64.41 (define @t427 () (forall (@list @t418 @t425 @t424 @t423 @t422) (forall @t172 @t421))) % 63.95/64.41 (define @t428 () (@var "BOUND_VARIABLE_8545" $$unsorted)) % 63.95/64.41 (define @t429 () (tptp.tyop_2Eoption_2Eoption @t428)) % 63.95/64.41 (define @t430 () (tptp.s @t429 @t174)) % 63.95/64.41 (define @t431 () (or (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t430)))) (= @t430 (tptp.s @t429 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t428 (tptp.c_2Eoption_2ETHE_2E1 @t430))))))) % 63.95/64.41 (define @t432 () (@var "BOUND_VARIABLE_8553" $$unsorted)) % 63.95/64.41 (define @t433 () (@var "BOUND_VARIABLE_8551" $$unsorted)) % 63.95/64.41 (define @t434 () (@var "BOUND_VARIABLE_8549" $$unsorted)) % 63.95/64.41 (define @t435 () (@var "BOUND_VARIABLE_8547" $$unsorted)) % 63.95/64.41 (define @t436 () (forall (@list @t428 @t435 @t434 @t433 @t432 @t174) @t431)) % 63.95/64.41 (define @t437 () (forall (@list @t428 @t435 @t434 @t433 @t432) (forall @t179 @t431))) % 63.95/64.41 (define @t438 () (@var "BOUND_VARIABLE_8523" $$unsorted)) % 63.95/64.41 (define @t439 () (tptp.tyop_2Eoption_2Eoption @t438)) % 63.95/64.41 (define @t440 () (tptp.s @t439 tptp.c_2Eoption_2ENONE_2E0)) % 63.95/64.41 (define @t441 () (tptp.s @t439 @t181)) % 63.95/64.41 (define @t442 () (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t441))))) % 63.95/64.41 (define @t443 () (= @t442 (= @t441 @t440))) % 63.95/64.41 (define @t444 () (@var "BOUND_VARIABLE_8531" $$unsorted)) % 63.95/64.41 (define @t445 () (@var "BOUND_VARIABLE_8529" $$unsorted)) % 63.95/64.41 (define @t446 () (@var "BOUND_VARIABLE_8527" $$unsorted)) % 63.95/64.41 (define @t447 () (@var "BOUND_VARIABLE_8525" $$unsorted)) % 63.95/64.41 (define @t448 () (@list @t438 @t447 @t446 @t445 @t444 @t181)) % 63.95/64.41 (define @t449 () (= @t442 (= @t440 @t441))) % 63.95/64.41 (define @t450 () (forall @t448 @t449)) % 63.95/64.41 (define @t451 () (forall (@list @t438 @t447 @t446 @t445 @t444) (forall @t185 @t449))) % 63.95/64.41 (define @t452 () (@var "BOUND_VARIABLE_8502" $$unsorted)) % 63.95/64.41 (define @t453 () (tptp.tyop_2Eoption_2Eoption @t452)) % 63.95/64.41 (define @t454 () (tptp.s @t453 tptp.c_2Eoption_2ENONE_2E0)) % 63.95/64.41 (define @t455 () (tptp.s @t453 @t187)) % 63.95/64.41 (define @t456 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__NONE_2E1 @t455)))) % 63.95/64.41 (define @t457 () (= @t456 (= @t455 @t454))) % 63.95/64.41 (define @t458 () (@var "BOUND_VARIABLE_8510" $$unsorted)) % 63.95/64.41 (define @t459 () (@var "BOUND_VARIABLE_8508" $$unsorted)) % 63.95/64.41 (define @t460 () (@var "BOUND_VARIABLE_8506" $$unsorted)) % 63.95/64.41 (define @t461 () (@var "BOUND_VARIABLE_8504" $$unsorted)) % 63.95/64.41 (define @t462 () (@list @t452 @t461 @t460 @t459 @t458 @t187)) % 63.95/64.41 (define @t463 () (= @t456 (= @t454 @t455))) % 63.95/64.41 (define @t464 () (forall @t462 @t463)) % 63.95/64.41 (define @t465 () (forall (@list @t452 @t461 @t460 @t459 @t458) (forall @t191 @t463))) % 63.95/64.41 (define @t466 () (@var "BOUND_VARIABLE_8484" $$unsorted)) % 63.95/64.41 (define @t467 () (= @t20 (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 (tptp.s (tptp.tyop_2Eoption_2Eoption @t466) tptp.c_2Eoption_2ENONE_2E0))))) % 63.95/64.41 (define @t468 () (@var "BOUND_VARIABLE_8492" $$unsorted)) % 63.95/64.41 (define @t469 () (@var "BOUND_VARIABLE_8490" $$unsorted)) % 63.95/64.41 (define @t470 () (@var "BOUND_VARIABLE_8488" $$unsorted)) % 63.95/64.41 (define @t471 () (@var "BOUND_VARIABLE_8486" $$unsorted)) % 63.95/64.41 (define @t472 () (forall (@list @t466 @t471 @t470 @t469 @t468) @t467)) % 63.95/64.41 (define @t473 () (@var "BOUND_VARIABLE_8463" $$unsorted)) % 63.95/64.41 (define @t474 () (= @t18 (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 (tptp.s (tptp.tyop_2Eoption_2Eoption @t473) (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t473 @t194))))))) % 63.95/64.41 (define @t475 () (@var "BOUND_VARIABLE_8471" $$unsorted)) % 63.95/64.41 (define @t476 () (@var "BOUND_VARIABLE_8469" $$unsorted)) % 63.95/64.41 (define @t477 () (@var "BOUND_VARIABLE_8467" $$unsorted)) % 63.95/64.41 (define @t478 () (@var "BOUND_VARIABLE_8465" $$unsorted)) % 63.95/64.41 (define @t479 () (forall (@list @t473 @t478 @t477 @t476 @t475 @t194) @t474)) % 63.95/64.41 (define @t480 () (forall (@list @t473 @t478 @t477 @t476 @t475) (forall @t196 @t474))) % 63.95/64.41 (define @t481 () (@var "BOUND_VARIABLE_8442" $$unsorted)) % 63.95/64.41 (define @t482 () (tptp.tyop_2Eoption_2Eoption @t481)) % 63.95/64.41 (define @t483 () (not (= (tptp.s @t482 tptp.c_2Eoption_2ENONE_2E0) (tptp.s @t482 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t481 @t198)))))) % 63.95/64.41 (define @t484 () (@var "BOUND_VARIABLE_8450" $$unsorted)) % 63.95/64.41 (define @t485 () (@var "BOUND_VARIABLE_8448" $$unsorted)) % 63.95/64.41 (define @t486 () (@var "BOUND_VARIABLE_8446" $$unsorted)) % 63.95/64.41 (define @t487 () (@var "BOUND_VARIABLE_8444" $$unsorted)) % 63.95/64.41 (define @t488 () (forall (@list @t481 @t487 @t486 @t485 @t484 @t198) @t483)) % 63.95/64.41 (define @t489 () (forall (@list @t481 @t487 @t486 @t485 @t484) (forall @t201 @t483))) % 63.95/64.41 (define @t490 () (@var "BOUND_VARIABLE_8422" $$unsorted)) % 63.95/64.41 (define @t491 () (tptp.tyop_2Eoption_2Eoption @t490)) % 63.95/64.41 (define @t492 () (not (= (tptp.s @t491 tptp.c_2Eoption_2ENONE_2E0) (tptp.s @t491 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t490 @t203)))))) % 63.95/64.41 (define @t493 () (forall (@list @t490 @t203) @t492)) % 63.95/64.41 (define @t494 () (@var "BOUND_VARIABLE_8430" $$unsorted)) % 63.95/64.41 (define @t495 () (@var "BOUND_VARIABLE_8428" $$unsorted)) % 63.95/64.41 (define @t496 () (@var "BOUND_VARIABLE_8426" $$unsorted)) % 63.95/64.41 (define @t497 () (@var "BOUND_VARIABLE_8424" $$unsorted)) % 63.95/64.41 (define @t498 () (forall (@list @t490 @t497 @t496 @t495 @t494 @t203) @t492)) % 63.95/64.41 (define @t499 () (forall (@list @t490 @t497 @t496 @t495 @t494) (forall @t204 @t492))) % 63.95/64.41 (define @t500 () (@var "BOUND_VARIABLE_8402" $$unsorted)) % 63.95/64.41 (define @t501 () (tptp.s @t500 @t206)) % 63.95/64.41 (define @t502 () (= @t501 (tptp.s @t500 (tptp.c_2Eoption_2ETHE_2E1 (tptp.s (tptp.tyop_2Eoption_2Eoption @t500) (tptp.c_2Eoption_2ESOME_2E1 @t501)))))) % 63.95/64.41 (define @t503 () (@var "BOUND_VARIABLE_8410" $$unsorted)) % 63.95/64.41 (define @t504 () (@var "BOUND_VARIABLE_8408" $$unsorted)) % 63.95/64.41 (define @t505 () (@var "BOUND_VARIABLE_8406" $$unsorted)) % 63.95/64.41 (define @t506 () (@var "BOUND_VARIABLE_8404" $$unsorted)) % 63.95/64.41 (define @t507 () (forall (@list @t500 @t506 @t505 @t504 @t503 @t206) @t502)) % 63.95/64.41 (define @t508 () (forall (@list @t500 @t506 @t505 @t504 @t503) (forall @t209 @t502))) % 63.95/64.41 (define @t509 () (@var "BOUND_VARIABLE_8379" $$unsorted)) % 63.95/64.41 (define @t510 () (tptp.s @t509 @t211)) % 63.95/64.41 (define @t511 () (tptp.s @t509 @t213)) % 63.95/64.41 (define @t512 () (tptp.tyop_2Eoption_2Eoption @t509)) % 63.95/64.41 (define @t513 () (= (tptp.s @t512 (tptp.c_2Eoption_2ESOME_2E1 @t511)) (tptp.s @t512 (tptp.c_2Eoption_2ESOME_2E1 @t510)))) % 63.95/64.41 (define @t514 () (= @t513 (= @t511 @t510))) % 63.95/64.41 (define @t515 () (@var "BOUND_VARIABLE_8387" $$unsorted)) % 63.95/64.41 (define @t516 () (@var "BOUND_VARIABLE_8385" $$unsorted)) % 63.95/64.41 (define @t517 () (@var "BOUND_VARIABLE_8383" $$unsorted)) % 63.95/64.41 (define @t518 () (@var "BOUND_VARIABLE_8381" $$unsorted)) % 63.95/64.41 (define @t519 () (@list @t509 @t518 @t517 @t516 @t515 @t213 @t211)) % 63.95/64.41 (define @t520 () (= @t513 (= @t510 @t511))) % 63.95/64.41 (define @t521 () (forall @t519 @t520)) % 63.95/64.41 (define @t522 () (forall (@list @t509 @t518 @t517 @t516 @t515) (forall @t217 @t520))) % 63.95/64.41 (define @t523 () (forall @t114 (= @t112 @t113))) % 63.95/64.41 (define @t524 () (forall @t220 @t523)) % 63.95/64.41 (define @t525 () (@list @t3 @t2 @t6 @t143 @t151)) % 63.95/64.41 (define @t526 () (= @t116 @t117)) % 63.95/64.41 (define @t527 () (forall @t220 @t526)) % 63.95/64.41 (define @t528 () (forall @t220 @t121)) % 63.95/64.41 (define @t529 () (forall @t220 @t127)) % 63.95/64.41 (define @t530 () (forall @t220 @t134)) % 63.95/64.41 (define @t531 () (forall @t139 (= @t136 @t138))) % 63.95/64.41 (define @t532 () (forall @t220 @t531)) % 63.95/64.41 (define @t533 () (= @t142 @t144)) % 63.95/64.41 (define @t534 () (forall @t147 (or (not @t145) @t533))) % 63.95/64.41 (define @t535 () (forall @t220 @t534)) % 63.95/64.41 (define @t536 () (forall @t155 (or (not @t154) @t153))) % 63.95/64.41 (define @t537 () (forall @t220 @t536)) % 63.95/64.41 (define @t538 () (= @t152 @t159)) % 63.95/64.41 (define @t539 () (forall @t162 (or (not @t160) @t538))) % 63.95/64.41 (define @t540 () (forall @t220 @t539)) % 63.95/64.41 (define @t541 () (forall @t167 (= @t165 @t166))) % 63.95/64.41 (define @t542 () (forall @t220 @t541)) % 63.95/64.41 (define @t543 () (forall @t172 (= @t170 @t171))) % 63.95/64.41 (define @t544 () (forall @t220 @t543)) % 63.95/64.41 (define @t545 () (= @t175 @t176)) % 63.95/64.41 (define @t546 () (forall @t179 (or (not @t177) @t545))) % 63.95/64.41 (define @t547 () (forall @t220 @t546)) % 63.95/64.41 (define @t548 () (forall @t185 (= @t183 (= @t116 @t182)))) % 63.95/64.41 (define @t549 () (forall @t220 @t548)) % 63.95/64.41 (define @t550 () (forall @t191 (= @t189 (= @t116 @t188)))) % 63.95/64.41 (define @t551 () (forall @t220 @t550)) % 63.95/64.41 (define @t552 () (= @t20 @t193)) % 63.95/64.41 (define @t553 () (forall @t220 @t552)) % 63.95/64.41 (define @t554 () (forall @t196 (= @t18 @t195))) % 63.95/64.41 (define @t555 () (forall @t220 @t554)) % 63.95/64.41 (define @t556 () (forall @t201 (not (= @t116 @t199)))) % 63.95/64.41 (define @t557 () (forall @t220 @t556)) % 63.95/64.41 (define @t558 () (forall @t220 @t205)) % 63.95/64.41 (define @t559 () (forall @t209 (= @t207 @t208))) % 63.95/64.41 (define @t560 () (forall @t220 @t559)) % 63.95/64.41 (define @t561 () (forall @t217 (= @t215 (= @t212 @t214)))) % 63.95/64.41 (define @t562 () (forall @t220 @t561)) % 63.95/64.41 (define @t563 () (and @t562 @t560 @t558 @t557 @t555 @t553 @t551 @t549 @t547 @t544 @t542 @t540 @t537 @t535 @t532 @t530 @t529 @t528 @t527 @t524)) % 63.95/64.41 (define @t564 () (@quantifiers_skolemize @t308 0)) % 63.95/64.41 (define @t565 () (tptp.s @t291 @t564)) % 63.95/64.41 (define @t566 () (= @t295 (tptp.s @t293 (tptp.c_2Eoption_2ESOME_2E1 @t565)))) % 63.95/64.41 (define @t567 () (tptp.s @t291 (@quantifiers_skolemize @t308 1))) % 63.95/64.41 (define @t568 () (not @t566)) % 63.95/64.41 (define @t569 () (or @t568 (not (= @t294 (tptp.s @t293 (tptp.c_2Eoption_2ESOME_2E1 @t567)))) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t297 (tptp.app_2E2 @t298 @t565)) @t567)))))) % 63.95/64.41 (define @t570 () (@list true)) % 63.95/64.41 (define @t571 () (not @t569)) % 63.95/64.41 (define @t572 () (not @t317)) % 63.95/64.41 (define @t573 () (@list true false)) % 63.95/64.41 (define @t574 () (not @t314)) % 63.95/64.41 (define @t575 () (= @t18 @t313)) % 63.95/64.41 (define @t576 () (not @t575)) % 63.95/64.41 (define @t577 () (= false true)) % 63.95/64.41 (define @t578 () (@list false true)) % 63.95/64.41 (define @t579 () (= @t20 @t313)) % 63.95/64.41 (define @t580 () (or @t575 @t579)) % 63.95/64.41 (define @t581 () (not @t579)) % 63.95/64.41 (define @t582 () (not @t289)) % 63.95/64.41 (define @t583 () (@var "BOUND_VARIABLE_8965" $$unsorted)) % 63.95/64.41 (define @t584 () (tptp.tyop_2Eoption_2Eoption @t583)) % 63.95/64.41 (define @t585 () (@var "BOUND_VARIABLE_8969" $$unsorted)) % 63.95/64.41 (define @t586 () (@var "BOUND_VARIABLE_8971" $$unsorted)) % 63.95/64.41 (define @t587 () (= @t20 (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 (tptp.s (tptp.tyop_2Emin_2Efun @t583 (tptp.tyop_2Emin_2Efun @t583 tptp.tyop_2Emin_2Ebool)) @t586) (tptp.s @t584 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t583 @t585))) (tptp.s @t584 tptp.c_2Eoption_2ENONE_2E0))))) % 63.95/64.41 (define @t588 () (forall (@list @t583 @t585 @t586) @t587)) % 63.95/64.41 (define @t589 () (@quantifiers_skolemize @t588 0)) % 63.95/64.41 (define @t590 () (tptp.tyop_2Eoption_2Eoption @t589)) % 63.95/64.41 (define @t591 () (tptp.s @t590 tptp.c_2Eoption_2ENONE_2E0)) % 63.95/64.41 (define @t592 () (@quantifiers_skolemize @t588 1)) % 63.95/64.41 (define @t593 () (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t589 @t592))) % 63.95/64.41 (define @t594 () (tptp.s @t590 @t593)) % 63.95/64.41 (define @t595 () (@quantifiers_skolemize @t588 2)) % 63.95/64.41 (define @t596 () (tptp.tyop_2Emin_2Efun @t589 tptp.tyop_2Emin_2Ebool)) % 63.95/64.41 (define @t597 () (tptp.s (tptp.tyop_2Emin_2Efun @t589 @t596) @t595)) % 63.95/64.41 (define @t598 () (tptp.c_2Eoption_2EOPTREL_2E3 @t597 @t594 @t591)) % 63.95/64.41 (define @t599 () (tptp.s @t589 @t222)) % 63.95/64.41 (define @t600 () (tptp.s @t589 @t224)) % 63.95/64.41 (define @t601 () (forall @t235 (or (not (= @t594 (tptp.s @t590 (tptp.c_2Eoption_2ESOME_2E1 @t600)))) (not (= @t591 (tptp.s @t590 (tptp.c_2Eoption_2ESOME_2E1 @t599)))) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t596 (tptp.app_2E2 @t597 @t600)) @t599))))))) % 63.95/64.41 (define @t602 () (not @t601)) % 63.95/64.41 (define @t603 () (= @t594 @t591)) % 63.95/64.41 (define @t604 () (= @t591 @t594)) % 63.95/64.41 (define @t605 () (and @t604 (= @t591 @t591))) % 63.95/64.41 (define @t606 () (or @t605 @t602)) % 63.95/64.41 (define @t607 () (tptp.s tptp.tyop_2Emin_2Ebool @t598)) % 63.95/64.41 (define @t608 () (tptp.p @t607)) % 63.95/64.41 (define @t609 () (= @t608 @t606)) % 63.95/64.41 (define @t610 () (or @t603 @t602)) % 63.95/64.41 (define @t611 () (= @t608 @t610)) % 63.95/64.41 (define @t612 () (not @t604)) % 63.95/64.41 (define @t613 () (@list @t493)) % 63.95/64.41 (define @t614 () (@quantifiers_skolemize @t601 1)) % 63.95/64.41 (define @t615 () (tptp.s @t589 @t614)) % 63.95/64.41 (define @t616 () (= @t591 (tptp.s @t590 (tptp.c_2Eoption_2ESOME_2E1 @t615)))) % 63.95/64.41 (define @t617 () (tptp.s @t589 (@quantifiers_skolemize @t601 0))) % 63.95/64.41 (define @t618 () (not @t616)) % 63.95/64.41 (define @t619 () (or (not (= @t594 (tptp.s @t590 (tptp.c_2Eoption_2ESOME_2E1 @t617)))) @t618 (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t596 (tptp.app_2E2 @t597 @t617)) @t615)))))) % 63.95/64.41 (define @t620 () (not @t619)) % 63.95/64.41 (define @t621 () (not @t610)) % 63.95/64.41 (define @t622 () (not @t608)) % 63.95/64.41 (define @t623 () (= @t18 @t607)) % 63.95/64.41 (define @t624 () (not @t623)) % 63.95/64.41 (define @t625 () (not @t622)) % 63.95/64.41 (define @t626 () (= @t20 @t607)) % 63.95/64.41 (define @t627 () (or @t623 @t626)) % 63.95/64.41 (define @t628 () (not @t626)) % 63.95/64.41 (define @t629 () (not @t588)) % 63.95/64.41 (define @t630 () (@var "BOUND_VARIABLE_8947" $$unsorted)) % 63.95/64.41 (define @t631 () (tptp.s (tptp.tyop_2Eoption_2Eoption @t630) tptp.c_2Eoption_2ENONE_2E0)) % 63.95/64.41 (define @t632 () (@var "BOUND_VARIABLE_8953" $$unsorted)) % 63.95/64.41 (define @t633 () (= @t18 (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 (tptp.s (tptp.tyop_2Emin_2Efun @t630 (tptp.tyop_2Emin_2Efun @t630 tptp.tyop_2Emin_2Ebool)) @t632) @t631 @t631)))) % 63.95/64.41 (define @t634 () (forall (@list @t630 @t632) @t633)) % 63.95/64.41 (define @t635 () (@quantifiers_skolemize @t634 0)) % 63.95/64.41 (define @t636 () (tptp.tyop_2Eoption_2Eoption @t635)) % 63.95/64.41 (define @t637 () (tptp.s @t636 tptp.c_2Eoption_2ENONE_2E0)) % 63.95/64.41 (define @t638 () (@quantifiers_skolemize @t634 1)) % 63.95/64.41 (define @t639 () (tptp.tyop_2Emin_2Efun @t635 tptp.tyop_2Emin_2Ebool)) % 63.95/64.41 (define @t640 () (tptp.s (tptp.tyop_2Emin_2Efun @t635 @t639) @t638)) % 63.95/64.41 (define @t641 () (tptp.c_2Eoption_2EOPTREL_2E3 @t640 @t637 @t637)) % 63.95/64.41 (define @t642 () (tptp.s tptp.tyop_2Emin_2Ebool @t641)) % 63.95/64.41 (define @t643 () (tptp.p @t642)) % 63.95/64.41 (define @t644 () (tptp.s @t635 @t222)) % 63.95/64.41 (define @t645 () (tptp.s @t635 @t224)) % 63.95/64.41 (define @t646 () (not (forall @t235 (or (not (= @t637 (tptp.s @t636 (tptp.c_2Eoption_2ESOME_2E1 @t645)))) (not (= @t637 (tptp.s @t636 (tptp.c_2Eoption_2ESOME_2E1 @t644)))) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t639 (tptp.app_2E2 @t640 @t645)) @t644)))))))) % 63.95/64.41 (define @t647 () (= @t637 @t637)) % 63.95/64.41 (define @t648 () (and @t647 @t647)) % 63.95/64.41 (define @t649 () (or @t648 @t646)) % 63.95/64.41 (define @t650 () (= @t643 @t649)) % 63.95/64.41 (define @t651 () (not @t643)) % 63.95/64.41 (define @t652 () (= @t20 @t642)) % 63.95/64.41 (define @t653 () (not @t652)) % 63.95/64.41 (define @t654 () (= true false)) % 63.95/64.41 (define @t655 () (= @t18 @t642)) % 63.95/64.41 (define @t656 () (or @t655 @t652)) % 63.95/64.41 (define @t657 () (not @t655)) % 63.95/64.41 (define @t658 () (not @t634)) % 63.95/64.41 (define @t659 () (@var "BOUND_VARIABLE_8990" $$unsorted)) % 63.95/64.41 (define @t660 () (forall (@list @t285 @t284 @t659 @t287) @t288)) % 63.95/64.41 (define @t661 () (@var "BOUND_VARIABLE_8967" $$unsorted)) % 63.95/64.41 (define @t662 () (forall (@list @t583 @t661 @t585 @t586) @t587)) % 63.95/64.41 (define @t663 () (@var "BOUND_VARIABLE_8951" $$unsorted)) % 63.95/64.41 (define @t664 () (@var "BOUND_VARIABLE_8949" $$unsorted)) % 63.95/64.41 (define @t665 () (forall (@list @t630 @t664 @t663 @t632) @t633)) % 63.95/64.41 (define @t666 () (forall @t254 @t249)) % 63.95/64.41 (define @t667 () (@list @t3 @t243 @t43 @t245)) % 63.95/64.41 (define @t668 () (= @t20 @t250)) % 63.95/64.41 (define @t669 () (forall @t254 @t668)) % 63.95/64.41 (define @t670 () (= @t20 @t251)) % 63.95/64.41 (define @t671 () (forall @t254 @t670)) % 63.95/64.41 (define @t672 () (= @t18 @t252)) % 63.95/64.41 (define @t673 () (forall @t254 @t672)) % 63.95/64.41 (define @t674 () (and @t673 @t671 @t669 @t666)) % 63.95/64.41 (define @t675 () (not @t266)) % 63.95/64.41 (define @t676 () (tptp.s tptp.tyop_2Emin_2Ebool @t277)) % 63.95/64.41 (define @t677 () (tptp.s tptp.tyop_2Emin_2Ebool @t283)) % 63.95/64.41 (define @t678 () (= @t677 @t676)) % 63.95/64.41 (define @t679 () (not @t678)) % 63.95/64.41 (define @t680 () (= @t18 @t676)) % 63.95/64.41 (define @t681 () (not @t680)) % 63.95/64.41 (define @t682 () (= @t18 @t677)) % 63.95/64.41 (define @t683 () (not @t682)) % 63.95/64.41 (define @t684 () (not @t679)) % 63.95/64.41 (define @t685 () (and @t679 @t682)) % 63.95/64.41 (define @t686 () (= @t20 @t676)) % 63.95/64.41 (define @t687 () (or @t680 @t686)) % 63.95/64.41 (define @t688 () (tptp.p @t677)) % 63.95/64.41 (define @t689 () (and @t19 @t682)) % 63.95/64.41 (define @t690 () (tptp.s @t268 @t222)) % 63.95/64.41 (define @t691 () (tptp.s @t268 @t224)) % 63.95/64.41 (define @t692 () (forall @t235 (or (not (= @t282 (tptp.s @t279 (tptp.c_2Eoption_2ESOME_2E1 @t691)))) (not (= @t280 (tptp.s @t279 (tptp.c_2Eoption_2ESOME_2E1 @t690)))) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t273 (tptp.app_2E2 @t274 @t691)) @t690))))))) % 63.95/64.41 (define @t693 () (not @t692)) % 63.95/64.41 (define @t694 () (tptp.s @t279 tptp.c_2Eoption_2ENONE_2E0)) % 63.95/64.41 (define @t695 () (= @t694 @t282)) % 63.95/64.41 (define @t696 () (and @t695 (= @t694 @t280))) % 63.95/64.41 (define @t697 () (or @t696 @t693)) % 63.95/64.41 (define @t698 () (= @t688 @t697)) % 63.95/64.41 (define @t699 () (= @t282 @t694)) % 63.95/64.41 (define @t700 () (and @t699 (= @t280 @t694))) % 63.95/64.41 (define @t701 () (or @t700 @t693)) % 63.95/64.41 (define @t702 () (= @t688 @t701)) % 63.95/64.41 (define @t703 () (not @t702)) % 63.95/64.41 (define @t704 () (not @t688)) % 63.95/64.41 (define @t705 () (not @t695)) % 63.95/64.41 (define @t706 () (not @t700)) % 63.95/64.41 (define @t707 () (not @t701)) % 63.95/64.41 (define @t708 () (@quantifiers_skolemize @t692 1)) % 63.95/64.41 (define @t709 () (tptp.s @t268 @t708)) % 63.95/64.41 (define @t710 () (@quantifiers_skolemize @t692 0)) % 63.95/64.41 (define @t711 () (tptp.s @t268 @t710)) % 63.95/64.41 (define @t712 () (tptp.app_2E2 (tptp.s @t273 (tptp.app_2E2 @t274 @t711)) @t709)) % 63.95/64.41 (define @t713 () (tptp.s tptp.tyop_2Emin_2Ebool @t712)) % 63.95/64.41 (define @t714 () (tptp.p @t713)) % 63.95/64.41 (define @t715 () (not @t714)) % 63.95/64.41 (define @t716 () (= @t280 (tptp.s @t279 (tptp.c_2Eoption_2ESOME_2E1 @t709)))) % 63.95/64.41 (define @t717 () (not @t716)) % 63.95/64.41 (define @t718 () (= @t282 (tptp.s @t279 (tptp.c_2Eoption_2ESOME_2E1 @t711)))) % 63.95/64.41 (define @t719 () (not @t718)) % 63.95/64.41 (define @t720 () (or @t719 @t717 @t715)) % 63.95/64.41 (define @t721 () (not @t720)) % 63.95/64.41 (define @t722 () (not @t693)) % 63.95/64.41 (define @t723 () (= @t271 @t711)) % 63.95/64.41 (define @t724 () (= @t718 @t723)) % 63.95/64.41 (define @t725 () (= @t269 @t709)) % 63.95/64.41 (define @t726 () (= @t716 @t725)) % 63.95/64.41 (define @t727 () (= @t104 @t106)) % 63.95/64.41 (define @t728 () (forall @t28 @t727)) % 63.95/64.41 (define @t729 () (@list @t23)) % 63.95/64.41 (define @t730 () (= @t102 @t108)) % 63.95/64.41 (define @t731 () (forall @t28 @t730)) % 63.95/64.41 (define @t732 () (and @t731 @t728)) % 63.95/64.41 (define @t733 () (and @t730 @t727)) % 63.95/64.41 (define @t734 () (and @t730 @t730 @t727 @t727)) % 63.95/64.41 (define @t735 () (= @t20 @t713)) % 63.95/64.41 (define @t736 () (= @t715 @t735)) % 63.95/64.41 (define @t737 () (and @t686 @t723 @t725)) % 63.95/64.41 (define @t738 () (not @t686)) % 63.95/64.41 (define @t739 () (= @t20 @t677)) % 63.95/64.41 (define @t740 () (or @t682 @t739)) % 63.95/64.41 (define @t741 () (not @t739)) % 63.95/64.41 (define @t742 () (and @t679 @t739)) % 63.95/64.41 (define @t743 () (and @t626 @t622 @t739)) % 63.95/64.41 (define @t744 () (tptp.p @t676)) % 63.95/64.41 (define @t745 () (not @t744)) % 63.95/64.41 (define @t746 () (not (= @t280 @t280))) % 63.95/64.41 (define @t747 () (not (= @t282 @t282))) % 63.95/64.41 (define @t748 () (or @t747 @t746 @t745)) % 63.95/64.41 (define @t749 () (and @t745 @t680 @t19)) % 63.95/64.41 (assume @p1 (forall (@list @t3 @t2 @t6 @t1) (=> (forall (@list @t8) (= (tptp.s @t2 (tptp.app_2E2 @t7 @t9)) @t10)) (= @t7 @t5)))) % 63.95/64.41 (assume @p2 (forall @t17 (=> (= @t16 @t15) (= @t14 @t12)))) % 63.95/64.41 (assume @p3 @t19) % 63.95/64.41 (assume @p4 @t22) % 63.95/64.41 (assume @p5 @t29) % 63.95/64.41 (assume @p6 (forall @t32 (= (tptp.s @t3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t3) tptp.combin_i_2E0) @t31)) @t31))) % 63.95/64.41 (assume @p7 (forall (@list @t3 @t2 @t30 @t33) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t34 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t34) tptp.combin_k_2E0) @t31)) (tptp.s @t2 @t33))) @t31))) % 63.95/64.41 (assume @p8 (forall (@list @t3 @t2 @t35 @t6 @t1 @t8) (= (tptp.s @t35 (tptp.app_2E2 (tptp.s @t39 (tptp.app_2E2 (tptp.s @t40 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t37 @t40) tptp.combin_s_2E0) @t38)) @t5)) @t9)) (tptp.s @t35 (tptp.app_2E2 (tptp.s @t36 (tptp.app_2E2 @t38 @t9)) @t10))))) % 63.95/64.41 (assume @p9 (forall @t17 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_2F_5C_2E2 @t14 @t12))) (and @t16 @t15)))) % 63.95/64.41 (assume @p10 (forall @t17 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_5C_2F_2E2 @t14 @t12))) (or @t16 @t15)))) % 63.95/64.41 (assume @p11 (forall (@list @t13) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_7E_2E1 @t14))) (not @t16)))) % 63.95/64.41 (assume @p12 (forall @t17 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_3D_3E_2E2 @t14 @t12))) (=> @t16 @t15)))) % 63.95/64.41 (assume @p13 (forall (@list @t3 @t13 @t11) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 @t42 @t41))) (= @t42 @t41)))) % 63.95/64.41 (assume @p14 (forall @t49 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t46))) (forall @t48 @t47)))) % 63.95/64.41 (assume @p15 (forall @t49 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t46))) (exists @t48 @t47)))) % 63.95/64.41 (assume @p16 (forall @t58 (= (and @t57 @t56) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t54 (tptp.app_2E2 (tptp.s @t55 tptp.c_2Ebool_2E_2F_5C_2E0) @t53)) @t51)))))) % 63.95/64.41 (assume @p17 (forall @t58 (= (or @t57 @t56) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t54 (tptp.app_2E2 (tptp.s @t55 tptp.c_2Ebool_2E_5C_2F_2E0) @t53)) @t51)))))) % 63.95/64.41 (assume @p18 (forall (@list @t52) (= (not @t57) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t54 tptp.c_2Ebool_2E_7E_2E0) @t53)))))) % 63.95/64.41 (assume @p19 (forall @t58 (= (=> @t57 @t56) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t54 (tptp.app_2E2 (tptp.s @t55 tptp.c_2Emin_2E_3D_3D_3E_2E0) @t53)) @t51)))))) % 63.95/64.41 (assume @p20 (forall (@list @t3 @t52 @t50) (= (= @t60 @t59) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t45 (tptp.app_2E2 (tptp.s @t61 tptp.c_2Emin_2E_3D_2E0) @t60)) @t59)))))) % 63.95/64.41 (assume @p21 (forall @t64 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t62)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t63 tptp.c_2Ebool_2E_21_2E0) @t62))))) % 63.95/64.41 (assume @p22 (forall @t64 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t62)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t63 tptp.c_2Ebool_2E_3F_2E0) @t62))))) % 63.95/64.41 (assume @p23 (forall @t64 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__NONE_2E1 @t66)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t67 tptp.c_2Eoption_2EIS__NONE_2E0) @t66))))) % 63.95/64.41 (assume @p24 (forall @t64 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t66)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t67 tptp.c_2Eoption_2EIS__SOME_2E0) @t66))))) % 63.95/64.41 (assume @p25 (forall @t64 (= (tptp.s @t65 (tptp.c_2Eoption_2ESOME_2E1 @t60)) (tptp.s @t65 (tptp.app_2E2 @t69 @t60))))) % 63.95/64.41 (assume @p26 (forall @t64 (= (tptp.s @t65 (tptp.c_2Eoption_2EOPTION__JOIN_2E1 @t71)) (tptp.s @t65 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t70 @t65) tptp.c_2Eoption_2EOPTION__JOIN_2E0) @t71))))) % 63.95/64.41 (assume @p27 (forall @t64 (= (tptp.s @t70 (tptp.c_2Eoption_2ESOME_2E1 @t66)) (tptp.s @t70 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t65 @t70) tptp.c_2Eoption_2ESOME_2E0) @t66))))) % 63.95/64.41 (assume @p28 (forall @t64 (= (tptp.s @t3 (tptp.c_2Eoption_2ETHE_2E1 @t66)) (tptp.s @t3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t65 @t3) tptp.c_2Eoption_2ETHE_2E0) @t66))))) % 63.95/64.41 (assume @p29 (forall (@list @t2 @t52) (= (tptp.s @t73 (tptp.c_2Eoption_2ESOME_2E1 @t72)) (tptp.s @t73 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t2 @t73) tptp.c_2Eoption_2ESOME_2E0) @t72))))) % 63.95/64.41 (assume @p30 (forall (@list @t3 @t2 @t52 @t50) (= (tptp.s @t73 (tptp.c_2Eoption_2EOPTION__MAP_2E2 @t75 @t74)) (tptp.s @t73 (tptp.app_2E2 (tptp.s @t76 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t4 @t76) tptp.c_2Eoption_2EOPTION__MAP_2E0) @t75)) @t74))))) % 63.95/64.41 (assume @p31 (forall @t81 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 @t79 @t74 @t78)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t67 (tptp.app_2E2 (tptp.s @t80 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t61 @t80) tptp.c_2Eoption_2EOPTREL_2E0) @t79)) @t74)) @t78))))) % 63.95/64.41 (assume @p32 (forall @t88 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 @t85 @t74 @t82)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t86 (tptp.app_2E2 (tptp.s @t87 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t84 @t87) tptp.c_2Eoption_2EOPTREL_2E0) @t85)) @t74)) @t82))))) % 63.95/64.41 (assume @p33 (forall @t88 (= (tptp.s @t2 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t66 @t90 @t89)) (tptp.s @t2 (tptp.app_2E2 (tptp.s @t91 (tptp.app_2E2 (tptp.s @t92 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t65 @t92) tptp.c_2Eoption_2Eoption__CASE_2E0) @t66)) @t90)) @t89))))) % 63.95/64.41 (assume @p34 (forall @t81 (= (tptp.s @t65 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t66 @t74 @t93)) (tptp.s @t65 (tptp.app_2E2 (tptp.s @t94 (tptp.app_2E2 (tptp.s @t95 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t65 @t95) tptp.c_2Eoption_2Eoption__CASE_2E0) @t66)) @t74)) @t93))))) % 63.95/64.41 (assume @p35 (forall (@list @t98 @t96) (=> (=> @t100 @t101) (=> (=> @t101 @t100) (= @t99 @t97))))) % 63.95/64.41 (assume @p36 (forall @t28 (=> @t21 @t102))) % 63.95/64.41 (assume @p37 (forall (@list @t3 @t23) (= (exists @t48 @t102) @t102))) % 63.95/64.41 (assume @p38 (forall @t28 (and (= (and @t19 @t102) @t102) (= (and @t102 @t19) @t102) (= (and @t21 @t102) @t21) (= (and @t102 @t21) @t21) (= (and @t102 @t102) @t102)))) % 63.95/64.41 (assume @p39 (forall @t28 (and (= (or @t19 @t102) @t19) (= (or @t102 @t19) @t19) (= (or @t21 @t102) @t102) (= (or @t102 @t21) @t102) (= (or @t102 @t102) @t102)))) % 63.95/64.41 (assume @p40 (and (forall @t28 (= (not @t104) @t102)) (= @t103 @t21) (= @t22 @t19))) % 63.95/64.41 (assume @p41 (forall @t32 (= (= @t31 @t31) @t19))) % 63.95/64.41 (assume @p42 @t110) % 63.95/64.41 (assume @p43 @t221) % 63.95/64.41 (assume @p44 @t242) % 63.95/64.41 (assume @p45 @t256) % 63.95/64.41 (assume @p46 true) % 63.95/64.41 (step @p47 :rule eq-symm :args (@t24 @t20)) % 63.95/64.41 (step @p48 :rule eq-symm :args (@t24 @t18)) % 63.95/64.41 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t27)) % 63.95/64.41 (step @p50 :rule cong :premises (@p49) :args (@t29)) % 63.95/64.41 (step @p51 :rule eq_resolve :premises (@p5 @p50)) % 63.95/64.41 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t277))) % 63.95/64.41 (step @p53 :rule instantiate :premises (@p51) :args ((@list @t283))) % 63.95/64.41 (step @p54 :rule instantiate :premises (@p51) :args ((@list @t299))) % 63.95/64.41 (step @p55 :rule aci_norm :args ((= (or @t302 (or @t301 @t300)) @t303))) % 63.95/64.41 (step @p56 :rule bool-and-de-morgan :args (@t231 @t228 true)) % 63.95/64.41 (step @p57 :rule refl :args (@t302)) % 63.95/64.41 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t302 (not (and @t231 @t228))))) % 63.95/64.41 (step @p59 :rule bool-and-de-morgan :args (@t233 @t231 (and @t228))) % 63.95/64.41 (step @p60 :rule trans :premises (@p59 @p58)) % 63.95/64.41 (step @p61 :rule trans :premises (@p60 @p55)) % 63.95/64.41 (step @p62 :rule cong :premises (@p61) :args (@t304)) % 63.95/64.41 (step @p63 :rule cong :premises (@p62) :args (@t305)) % 63.95/64.41 (step @p64 :rule exists-elim :args ((= @t236 @t305))) % 63.95/64.41 (step @p65 :rule trans :premises (@p64 @p63)) % 63.95/64.41 (step @p66 :rule eq-symm :args (@t230 @t118)) % 63.95/64.41 (step @p67 :rule eq-symm :args (@t232 @t116)) % 63.95/64.41 (step @p68 :rule nary_cong :premises (@p67 @p66) :args (@t237)) % 63.95/64.41 (step @p69 :rule nary_cong :premises (@p68 @p65) :args (@t238)) % 63.95/64.41 (step @p70 :rule refl :args (@t239)) % 63.95/64.41 (step @p71 :rule cong :premises (@p70 @p69) :args (@t240)) % 63.95/64.41 (step @p72 :rule cong :premises (@p71) :args (@t242)) % 63.95/64.41 (step @p73 :rule eq_resolve :premises (@p44 @p72)) % 63.95/64.41 (step @p74 :rule refl :args (@t309)) % 63.95/64.41 (step @p75 :rule aci_norm :args ((= (and true @t310) @t310))) % 63.95/64.41 (step @p76 :rule refl :args (@t310)) % 63.95/64.41 (step @p77 :rule eq-refl :args (@t295)) % 63.95/64.41 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t311)) % 63.95/64.41 (step @p79 :rule trans :premises (@p78 @p75)) % 63.95/64.41 (step @p80 :rule nary_cong :premises (@p79 @p74) :args (@t312)) % 63.95/64.41 (step @p81 :rule refl :args (@t314)) % 63.95/64.41 (step @p82 :rule cong :premises (@p81 @p80) :args (@t315)) % 63.95/64.41 (step @p83 :rule refl :args (@t316)) % 63.95/64.41 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t316 @t315))) % 63.95/64.41 (assume-push @p757 @t316) % 63.95/64.41 (step @p86 :rule instantiate :premises (@p73) :args ((@list @t291 @t291 @t296 tptp.c_2Eoption_2ENONE_2E0 @t292))) % 63.95/64.41 (step-pop @p758 :rule scope :premises (@p86)) % 63.95/64.41 (step @p87 :rule process_scope :premises (@p758) :args (@t315)) % 63.95/64.41 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 63.95/64.41 (step @p90 :rule implies_elim :premises (@p89)) % 63.95/64.41 (step @p91 :rule chain_m_resolution :premises (@p90 @p73) :args (@t318 @t319 @t320)) % 63.95/64.41 (step @p92 :rule quant-unused-vars :args ((= @t329 (forall (@list @t321 @t111) @t324)))) % 63.95/64.41 (step @p93 :rule quant-merge-prenex :args ((= @t330 @t329))) % 63.95/64.41 (step @p94 :rule trans :premises (@p93 @p92)) % 63.95/64.41 (step @p95 :rule quant-unused-vars :args ((= @t338 (forall (@list @t331) @t333)))) % 63.95/64.41 (step @p96 :rule quant-unused-vars :args ((= @t346 (forall (@list @t341 @t339 @t119) @t342)))) % 63.95/64.41 (step @p97 :rule quant-merge-prenex :args ((= @t347 @t346))) % 63.95/64.41 (step @p98 :rule trans :premises (@p97 @p96)) % 63.95/64.41 (step @p99 :rule quant-unused-vars :args ((= @t357 (forall (@list @t348 @t350 @t124 @t122) @t353)))) % 63.95/64.41 (step @p100 :rule quant-merge-prenex :args ((= @t358 @t357))) % 63.95/64.41 (step @p101 :rule trans :premises (@p100 @p99)) % 63.95/64.41 (step @p102 :rule quant-unused-vars :args ((= @t367 (forall (@list @t359 @t361 @t128 @t132 @t130) @t363)))) % 63.95/64.41 (step @p103 :rule quant-merge-prenex :args ((= @t368 @t367))) % 63.95/64.41 (step @p104 :rule trans :premises (@p103 @p102)) % 63.95/64.41 (step @p105 :rule quant-unused-vars :args ((= @t376 (forall (@list @t370 @t369 @t135 @t137) @t372)))) % 63.95/64.41 (step @p106 :rule quant-merge-prenex :args ((= @t377 @t376))) % 63.95/64.41 (step @p107 :rule trans :premises (@p106 @p105)) % 63.95/64.41 (step @p108 :rule quant-unused-vars :args ((= @t386 (forall (@list @t378 @t380 @t141) @t382)))) % 63.95/64.41 (step @p109 :rule quant-merge-prenex :args ((= @t387 @t386))) % 63.95/64.41 (step @p110 :rule trans :premises (@p109 @p108)) % 63.95/64.41 (step @p111 :rule quant-unused-vars :args ((= @t396 (forall (@list @t388 @t391 @t390 @t393 @t149) @t394)))) % 63.95/64.41 (step @p112 :rule quant-merge-prenex :args ((= @t397 @t396))) % 63.95/64.41 (step @p113 :rule trans :premises (@p112 @p111)) % 63.95/64.41 (step @p114 :rule quant-unused-vars :args ((= @t406 (forall (@list @t400 @t399 @t398 @t401 @t157) @t404)))) % 63.95/64.41 (step @p115 :rule quant-merge-prenex :args ((= @t407 @t406))) % 63.95/64.41 (step @p116 :rule trans :premises (@p115 @p114)) % 63.95/64.41 (step @p117 :rule quant-unused-vars :args ((= @t416 (forall (@list @t408 @t164) @t411)))) % 63.95/64.41 (step @p118 :rule quant-merge-prenex :args ((= @t417 @t416))) % 63.95/64.41 (step @p119 :rule trans :premises (@p118 @p117)) % 63.95/64.41 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(step @p146 :rule quant-unused-vars :args ((= @t488 (forall (@list @t481 @t198) @t483)))) % 63.95/64.41 (step @p147 :rule quant-merge-prenex :args ((= @t489 @t488))) % 63.95/64.41 (step @p148 :rule trans :premises (@p147 @p146)) % 63.95/64.41 (step @p149 :rule quant-unused-vars :args ((= @t498 @t493))) % 63.95/64.41 (step @p150 :rule quant-merge-prenex :args ((= @t499 @t498))) % 63.95/64.41 (step @p151 :rule trans :premises (@p150 @p149)) % 63.95/64.41 (step @p152 :rule quant-unused-vars :args ((= @t507 (forall (@list @t500 @t206) @t502)))) % 63.95/64.41 (step @p153 :rule quant-merge-prenex :args ((= @t508 @t507))) % 63.95/64.41 (step @p154 :rule trans :premises (@p153 @p152)) % 63.95/64.41 (step @p155 :rule quant-unused-vars :args ((= (forall @t519 @t514) (forall (@list @t509 @t213 @t211) @t514)))) % 63.95/64.41 (step @p156 :rule eq-symm :args (@t510 @t511)) % 63.95/64.41 (step @p157 :rule refl :args (@t513)) % 63.95/64.41 (step @p158 :rule cong :premises (@p157 @p156) :args (@t520)) 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refl :args (@t571)) % 63.95/64.41 (step @p258 :rule bool-double-not-elim :args (@t308)) % 63.95/64.41 (step @p259 :rule nary_cong :premises (@p258 @p257) :args ((or (not @t309) @t571))) % 63.95/64.41 (assume-push @p759 @t309) % 63.95/64.41 (step @p261 :rule skolemize :premises (@p759)) % 63.95/64.41 (step-pop @p760 :rule scope :premises (@p261)) % 63.95/64.41 (step @p262 :rule process_scope :premises (@p760) :args (@t571)) % 63.95/64.41 (step @p264 :rule implies_elim :premises (@p262)) % 63.95/64.41 (step @p265 :rule eq_resolve :premises (@p264 @p259)) % 63.95/64.41 (step @p266 :rule chain_m_resolution :premises (@p265 @p256) :args (@t308 @t319 (@list @t569))) % 63.95/64.41 (step @p267 :rule instantiate :premises (@p248) :args ((@list @t291 @t290))) % 63.95/64.41 (step @p268 :rule cnf_or_pos :args (@t317)) % 63.95/64.41 (step @p269 :rule reordering :premises (@p268) :args ((or @t310 @t309 @t572))) % 63.95/64.41 (step @p270 :rule chain_m_resolution :premises (@p269 @p267 @p266) :args 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:rule eq_resolve :premises (@p576 @p575)) % 63.95/64.41 (step @p578 :rule reordering :premises (@p577) :args ((or @t716 @t720))) % 63.95/64.41 (step @p579 :rule bool-double-not-elim :args (@t714)) % 63.95/64.41 (step @p580 :rule nary_cong :premises (@p569 @p579) :args ((or @t720 (not @t715)))) % 63.95/64.41 (step @p581 :rule cnf_or_neg :args (@t720 2)) % 63.95/64.41 (step @p582 :rule eq_resolve :premises (@p581 @p580)) % 63.95/64.41 (step @p583 :rule reordering :premises (@p582) :args ((or @t714 @t720))) % 63.95/64.41 (step @p584 :rule and_elim :premises (@p247) :args (0)) % 63.95/64.41 (step @p585 :rule instantiate :premises (@p584) :args ((@list @t268 @t270 @t710))) % 63.95/64.41 (step @p586 :rule cnf_equiv_pos1 :args (@t724)) % 63.95/64.41 (step @p587 :rule reordering :premises (@p586) :args ((or @t719 @t723 (not @t724)))) % 63.95/64.41 (step @p588 :rule instantiate :premises (@p584) :args ((@list @t268 @t267 @t708))) % 63.95/64.41 (step @p589 :rule cnf_equiv_pos1 :args (@t726)) % 63.95/64.41 (step @p590 :rule reordering :premises (@p589) :args ((or @t717 @t725 (not @t726)))) % 63.95/64.41 (step @p591 :rule alpha_equiv :args (@t728 @t729 (@list (@var "BOUND_VARIABLE_8319" $$unsorted)))) % 63.95/64.41 (step @p592 :rule alpha_equiv :args (@t731 @t729 (@list (@var "BOUND_VARIABLE_8311" $$unsorted)))) % 63.95/64.41 (step @p593 :rule nary_cong :premises (@p592 @p591) :args (@t732)) % 63.95/64.41 (step @p594 :rule quant-miniscope-and :args ((= (forall @t28 @t733) @t732))) % 63.95/64.41 (step @p595 :rule trans :premises (@p594 @p593)) % 63.95/64.41 (step @p596 :rule aci_norm :args ((= @t734 @t733))) % 63.95/64.41 (step @p597 :rule cong :premises (@p596) :args ((forall @t28 @t734))) % 63.95/64.41 (step @p598 :rule trans :premises (@p597 @p595)) % 63.95/64.41 (step @p599 :rule eq-symm :args (@t106 @t104)) % 63.95/64.41 (step @p600 :rule refl :args (@t104)) % 63.95/64.41 (step @p601 :rule cong :premises (@p47 @p600) :args (@t105)) % 63.95/64.41 (step @p602 :rule trans :premises (@p601 @p599)) % 63.95/64.41 (step @p603 :rule eq-symm :args (@t108 @t102)) % 63.95/64.41 (step @p604 :rule refl :args (@t102)) % 63.95/64.41 (step @p605 :rule cong :premises (@p48 @p604) :args (@t107)) % 63.95/64.41 (step @p606 :rule trans :premises (@p605 @p603)) % 63.95/64.41 (step @p607 :rule nary_cong :premises (@p603 @p606 @p599 @p602) :args (@t109)) % 63.95/64.41 (step @p608 :rule cong :premises (@p607) :args (@t110)) % 63.95/64.41 (step @p609 :rule trans :premises (@p608 @p598)) % 63.95/64.41 (step @p610 :rule eq_resolve :premises (@p42 @p609)) % 63.95/64.41 (step @p611 :rule and_elim :premises (@p610) :args (1)) % 63.95/64.41 (step @p612 :rule instantiate :premises (@p611) :args ((@list @t712))) % 63.95/64.41 (step @p613 :rule cnf_equiv_pos2 :args (@t736)) % 63.95/64.41 (step @p614 :rule reordering :premises (@p613) :args ((or @t715 (not @t735) (not @t736)))) % 63.95/64.41 (assume-push @p817 @t686) % 63.95/64.41 (assume-push @p818 @t723) % 63.95/64.41 (assume-push @p819 @t725) % 63.95/64.41 (assume-push @p820 @t723) % 63.95/64.41 (assume-push @p821 @t725) % 63.95/64.41 (assume-push @p822 @t686) % 63.95/64.41 (step @p621 :rule refl :args (@t274)) % 63.95/64.41 (step @p622 :rule cong :premises (@p621 @p818) :args (@t275)) % 63.95/64.41 (step @p623 :rule refl :args (@t273)) % 63.95/64.41 (step @p624 :rule cong :premises (@p623 @p622) :args (@t276)) % 63.95/64.41 (step @p625 :rule cong :premises (@p624 @p819) :args (@t277)) % 63.95/64.41 (step @p626 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 63.95/64.41 (step @p627 :rule cong :premises (@p626 @p625) :args (@t676)) % 63.95/64.41 (step @p628 :rule trans :premises (@p817 @p627)) % 63.95/64.41 (step-pop @p823 :rule scope :premises (@p628)) % 63.95/64.41 (step-pop @p824 :rule scope :premises (@p823)) % 63.95/64.41 (step-pop @p825 :rule scope :premises (@p824)) % 63.95/64.41 (step @p629 :rule process_scope :premises (@p825) :args (@t735)) % 63.95/64.41 (step @p633 :rule and_intro :premises (@p818 @p819 @p817)) % 63.95/64.41 (step @p634 :rule modus_ponens :premises (@p633 @p629)) % 63.95/64.41 (step-pop @p826 :rule scope :premises (@p634)) % 63.95/64.41 (step-pop @p827 :rule scope :premises (@p826)) % 63.95/64.41 (step-pop @p828 :rule scope :premises (@p827)) % 63.95/64.41 (step @p635 :rule process_scope :premises (@p828) :args (@t735)) % 63.95/64.41 (step @p639 :rule implies_elim :premises (@p635)) % 63.95/64.41 (step @p640 :rule cnf_and_neg :args (@t737)) % 63.95/64.41 (step @p641 :rule resolution :premises (@p640 @p639) :args (true @t737)) % 63.95/64.41 (step @p642 :rule reordering :premises (@p641) :args ((or @t738 @t735 (not @t723) (not @t725)))) % 63.95/64.41 (step @p643 :rule chain_m_resolution :premises (@p642 @p614 @p612 @p590 @p588 @p587 @p585 @p583 @p578 @p573 @p567 @p558 @p556 @p544 @p542 @p527 @p3 @p508 @p52 @p506 @p481) :args (@t683 (@list true false false false false false false false false true true true false false false false false false true true) (@list @t735 @t736 @t725 @t726 @t723 @t724 @t714 @t716 @t718 @t720 @t692 @t700 @t701 @t702 @t688 @t19 @t686 @t687 @t680 @t678))) % 63.95/64.41 (step @p644 :rule cnf_or_pos :args (@t740)) % 63.95/64.41 (step @p645 :rule reordering :premises (@p644) :args ((or @t682 @t739 (not @t740)))) % 63.95/64.41 (step @p646 :rule chain_m_resolution :premises (@p645 @p643 @p53) :args (@t739 @t573 (@list @t682 @t740))) % 63.95/64.41 (step @p647 :rule refl :args (@t738)) % 63.95/64.41 (step @p648 :rule refl :args (@t741)) % 63.95/64.41 (step @p649 :rule nary_cong :premises (@p484 @p648 @p647) :args ((or @t684 @t741 @t738))) % 63.95/64.41 (assume-push @p829 @t679) % 63.95/64.41 (assume-push @p830 @t739) % 63.95/64.41 (assume-push @p831 @t679) % 63.95/64.41 (assume-push @p832 @t739) % 63.95/64.41 (step @p654 :rule false_intro :premises (@p829)) % 63.95/64.41 (step @p491 :rule refl :args (@t676)) % 63.95/64.41 (step @p655 :rule cong :premises (@p830 @p491) :args (@t686)) % 63.95/64.41 (step @p656 :rule trans :premises (@p655 @p654)) % 63.95/64.41 (step @p657 :rule false_elim :premises (@p656)) % 63.95/64.41 (step-pop @p833 :rule scope :premises (@p657)) % 63.95/64.41 (step-pop @p834 :rule scope :premises (@p833)) % 63.95/64.41 (step @p658 :rule process_scope :premises (@p834) :args (@t738)) % 63.95/64.41 (step @p661 :rule and_intro :premises (@p829 @p830)) % 63.95/64.41 (step @p662 :rule modus_ponens :premises (@p661 @p658)) % 63.95/64.41 (step-pop @p835 :rule scope :premises (@p662)) % 63.95/64.41 (step-pop @p836 :rule scope :premises (@p835)) % 63.95/64.41 (step @p663 :rule process_scope :premises (@p836) :args (@t738)) % 63.95/64.41 (step @p666 :rule implies_elim :premises (@p663)) % 63.95/64.41 (step @p667 :rule cnf_and_neg :args (@t742)) % 63.95/64.41 (step @p668 :rule resolution :premises (@p667 @p666) :args (true @t742)) % 63.95/64.41 (step @p669 :rule eq_resolve :premises (@p668 @p649)) % 63.95/64.41 (step @p670 :rule chain_m_resolution :premises (@p669 @p481 @p646) :args (@t738 @t573 (@list @t678 @t739))) % 63.95/64.41 (step @p671 :rule chain_m_resolution :premises (@p508 @p670 @p52) :args (@t680 @t573 (@list @t686 @t687))) % 63.95/64.41 (step @p672 :rule refl :args (@t704)) % 63.95/64.41 (step @p673 :rule nary_cong :premises (@p383 @p361 @p648 @p672) :args ((or @t628 @t625 @t741 @t704))) % 63.95/64.41 (assume-push @p837 @t626) % 63.95/64.41 (assume-push @p838 @t622) % 63.95/64.41 (assume-push @p839 @t739) % 63.95/64.41 (assume-push @p840 @t622) % 63.95/64.41 (assume-push @p841 @t626) % 63.95/64.41 (assume-push @p842 @t739) % 63.95/64.41 (step @p680 :rule false_intro :premises (@p838)) % 63.95/64.41 (step @p681 :rule symm :premises (@p839)) % 63.95/64.41 (step @p682 :rule trans :premises (@p681 @p837)) % 63.95/64.41 (step @p683 :rule cong :premises (@p682) :args (@t688)) % 63.95/64.41 (step @p684 :rule trans :premises (@p683 @p680)) % 63.95/64.41 (step @p685 :rule false_elim :premises (@p684)) % 63.95/64.41 (step-pop @p843 :rule scope :premises (@p685)) % 63.95/64.41 (step-pop @p844 :rule scope :premises (@p843)) % 63.95/64.41 (step-pop @p845 :rule scope :premises (@p844)) % 63.95/64.41 (step @p686 :rule process_scope :premises (@p845) :args (@t704)) % 63.95/64.41 (step @p690 :rule and_intro :premises (@p838 @p837 @p839)) % 63.95/64.41 (step @p691 :rule modus_ponens :premises (@p690 @p686)) % 63.95/64.41 (step-pop @p846 :rule scope :premises (@p691)) % 63.95/64.41 (step-pop @p847 :rule scope :premises (@p846)) % 63.95/64.41 (step-pop @p848 :rule scope :premises (@p847)) % 63.95/64.41 (step @p692 :rule process_scope :premises (@p848) :args (@t704)) % 63.95/64.41 (step @p696 :rule implies_elim :premises (@p692)) % 63.95/64.41 (step @p697 :rule cnf_and_neg :args (@t743)) % 63.95/64.41 (step @p698 :rule resolution :premises (@p697 @p696) :args (true @t743)) % 63.95/64.41 (step @p699 :rule eq_resolve :premises (@p698 @p673)) % 63.95/64.41 (step @p700 :rule chain_m_resolution :premises (@p699 @p382 @p360 @p646) :args (@t704 (@list false true false) (@list @t626 @t608 @t739))) % 63.95/64.41 (step @p701 :rule cnf_equiv_pos2 :args (@t702)) % 63.95/64.41 (step @p702 :rule reordering :premises (@p701) :args ((or @t688 @t707 @t703))) % 63.95/64.41 (step @p703 :rule chain_m_resolution :premises (@p702 @p700 @p542) :args (@t707 @t573 (@list @t688 @t702))) % 63.95/64.41 (step @p704 :rule refl :args (@t701)) % 63.95/64.41 (step @p705 :rule nary_cong :premises (@p704 @p560) :args ((or @t701 @t722))) % 63.95/64.41 (step @p706 :rule cnf_or_neg :args (@t701 1)) % 63.95/64.41 (step @p707 :rule eq_resolve :premises (@p706 @p705)) % 63.95/64.41 (step @p708 :rule reordering :premises (@p707) :args ((or @t692 @t701))) % 63.95/64.41 (step @p709 :rule chain_m_resolution :premises (@p708 @p703) :args (@t692 @t570 (@list @t701))) % 63.95/64.41 (step @p710 :rule aci_norm :args ((= (or false false @t745) @t745))) % 63.95/64.41 (step @p711 :rule refl :args (@t745)) % 63.95/64.41 (step @p712 :rule evaluate :args ((not true))) % 63.95/64.41 (step @p713 :rule eq-refl :args (@t280)) % 63.95/64.41 (step @p714 :rule cong :premises (@p713) :args (@t746)) % 63.95/64.41 (step @p715 :rule trans :premises (@p714 @p712)) % 63.95/64.41 (step @p716 :rule eq-refl :args (@t282)) % 63.95/64.41 (step @p717 :rule cong :premises (@p716) :args (@t747)) % 63.95/64.41 (step @p718 :rule trans :premises (@p717 @p712)) % 63.95/64.41 (step @p719 :rule nary_cong :premises (@p718 @p715 @p711) :args (@t748)) % 63.95/64.41 (step @p720 :rule trans :premises (@p719 @p710)) % 63.95/64.41 (step @p721 :rule refl :args (@t692)) % 63.95/64.41 (step @p722 :rule cong :premises (@p721 @p720) :args ((=> @t692 @t748))) % 63.95/64.41 (assume-push @p849 @t692) % 63.95/64.41 (step @p724 :rule instantiate :premises (@p849) :args ((@list @t270 @t267))) % 63.95/64.41 (step-pop @p850 :rule scope :premises (@p724)) % 63.95/64.41 (step @p725 :rule process_scope :premises (@p850) :args (@t748)) % 63.95/64.41 (step @p727 :rule eq_resolve :premises (@p725 @p722)) % 63.95/64.41 (step @p728 :rule implies_elim :premises (@p727)) % 63.95/64.41 (step @p729 :rule chain_m_resolution :premises (@p728 @p709) :args (@t745 @t319 (@list @t692))) % 63.95/64.41 (step @p730 :rule bool-double-not-elim :args (@t744)) % 63.95/64.41 (step @p731 :rule nary_cong :premises (@p276 @p482 @p730) :args ((or @t103 @t681 (not @t745)))) % 63.95/64.41 (assume-push @p851 @t745) % 63.95/64.41 (assume-push @p852 @t680) % 63.95/64.41 (assume-push @p853 @t19) % 63.95/64.41 (step @p420 :rule evaluate :args (@t654)) % 63.95/64.41 (step @p735 :rule false_intro :premises (@p851)) % 63.95/64.41 (step @p736 :rule cong :premises (@p852) :args (@t19)) % 63.95/64.41 (step @p282 :rule true_intro :premises (@p3)) % 63.95/64.41 (step @p737 :rule symm :premises (@p282)) % 63.95/64.41 (step @p738 :rule trans :premises (@p737 @p736 @p735)) % 63.95/64.41 (step @p739 false :rule eq_resolve :premises (@p738 @p420)) % 63.95/64.41 (step-pop @p854 :rule scope :premises (@p739)) % 63.95/64.41 (step-pop @p855 :rule scope :premises (@p854)) % 63.95/64.41 (step-pop @p856 :rule scope :premises (@p855)) % 63.95/64.41 (step @p740 :rule process_scope :premises (@p856) :args (false)) % 63.95/64.41 (assume-push @p857 @t19) % 63.95/64.41 (assume-push @p858 @t680) % 63.95/64.41 (assume-push @p859 @t745) % 63.95/64.41 (step @p747 :rule and_intro :premises (@p859 @p858 @p3)) % 63.95/64.41 (step-pop @p860 :rule scope :premises (@p747)) % 63.95/64.41 (step-pop @p861 :rule scope :premises (@p860)) % 63.95/64.41 (step-pop @p862 :rule scope :premises (@p861)) % 63.95/64.41 (step @p748 :rule process_scope :premises (@p862) :args (@t749)) % 63.95/64.41 (step @p752 :rule implies_elim :premises (@p748)) % 63.95/64.41 (step @p753 :rule resolution :premises (@p752 @p740) :args (true @t749)) % 63.95/64.41 (step @p754 :rule not_and :premises (@p753)) % 63.95/64.41 (step @p755 :rule eq_resolve :premises (@p754 @p731)) % 63.95/64.41 (step @p756 false :rule chain_m_resolution :premises (@p755 @p729 @p671 @p3) :args (false (@list true false false) (@list @t744 @t680 @t19))) % 63.95/64.41 ) % 63.95/64.41 % SZS output end Proof % 63.95/64.41 % cvc5 exiting %------------------------------------------------------------------------------