%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP006^1 : 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 : n026.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 08:24:25 AM UTC 2026 % Result : Theorem 0.38s 0.79s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP006^1 : 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 % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 03:40:10 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.52 %----Proving TH0 % 0.38/0.79 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.79 % SZS status Theorem % 0.38/0.79 % SZS output start Proof % 0.38/0.79 ( % 0.38/0.79 (declare-sort tptp.u 0) % 0.38/0.79 (declare-sort tptp.du 0) % 0.38/0.79 (declare-sort tptp.d 0) % 0.38/0.79 (declare-const tptp.mono_2Ec_2Ebool_2EF Bool) % 0.38/0.79 (declare-const tptp.mono_2Ec_2Ebool_2ET Bool) % 0.38/0.79 (declare-const tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 (-> tptp.du tptp.du tptp.u)) % 0.38/0.79 (declare-const tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0 tptp.u) % 0.38/0.79 (declare-const tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 (-> tptp.du tptp.du tptp.u)) % 0.38/0.79 (declare-const tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0 tptp.u) % 0.38/0.79 (declare-const tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2 (-> tptp.du tptp.du tptp.u)) % 0.38/0.79 (declare-const tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E0 tptp.u) % 0.38/0.79 (declare-const tptp.tyop_2Emin_2Ebool tptp.d) % 0.38/0.79 (declare-const tptp.j_mono_2Etyop_2Emin_2Ebool (-> tptp.du Bool)) % 0.38/0.79 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> tptp.du tptp.du tptp.u)) % 0.38/0.79 (declare-const tptp.mono_2Ec_2Ebool_2E_2F_5C (-> Bool Bool Bool)) % 0.38/0.79 (declare-const tptp.mono_2Ec_2Ebool_2E_7E (-> Bool Bool)) % 0.38/0.79 (declare-const tptp.mono_2Ec_2Ebool_2E_5C_2F (-> Bool Bool Bool)) % 0.38/0.79 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> tptp.du tptp.u)) % 0.38/0.79 (declare-const tptp.combin_s_2E0 tptp.u) % 0.38/0.79 (declare-const tptp.combin_k_2E0 tptp.u) % 0.38/0.79 (declare-const tptp.mono_2Ec_2Emin_2E_3D_3D_3E (-> Bool Bool Bool)) % 0.38/0.79 (declare-const tptp.combin_i_2E0 tptp.u) % 0.38/0.79 (declare-const tptp.app_2E2 (-> tptp.du tptp.du tptp.u)) % 0.38/0.79 (declare-const tptp.s (-> tptp.d tptp.u tptp.du)) % 0.38/0.79 (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)) % 0.38/0.79 (declare-const tptp.tyop_2Emin_2Efun (-> tptp.d tptp.d tptp.d)) % 0.38/0.79 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.du Bool Bool)) % 0.38/0.79 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> tptp.du tptp.u)) % 0.38/0.79 (declare-const tptp.i_mono_2Etyop_2Emin_2Ebool (-> Bool tptp.u)) % 0.38/0.79 (declare-const tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E2 (-> tptp.du tptp.du tptp.u)) % 0.38/0.79 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> (-> Bool Bool) tptp.u)) % 0.38/0.79 (declare-const tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 (-> tptp.du tptp.du tptp.u)) % 0.38/0.79 (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)) % 0.38/0.79 (declare-const tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 (-> tptp.du tptp.du tptp.u)) % 0.38/0.79 (declare-const tptp.c_2Ebool_2E_21_2E0 tptp.u) % 0.38/0.79 (declare-const tptp.c_2Emin_2E_3D_2E0 tptp.u) % 0.38/0.79 (declare-const tptp.c_2Ebool_2E_3F_2E0 tptp.u) % 0.38/0.79 (declare-const tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E0 tptp.u) % 0.38/0.79 (declare-const tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0 tptp.u) % 0.38/0.79 (declare-const tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0 tptp.u) % 0.38/0.79 (define @t1 () (@var "V1g_2E0" tptp.u)) % 0.38/0.79 (define @t2 () (@var "A_27b" tptp.d)) % 0.38/0.79 (define @t3 () (@var "A_27a" tptp.d)) % 0.38/0.79 (define @t4 () (_ tptp.tyop_2Emin_2Efun @t3)) % 0.38/0.79 (define @t5 () (_ @t4 @t2)) % 0.38/0.79 (define @t6 () (_ tptp.s @t5)) % 0.38/0.79 (define @t7 () (_ @t6 @t1)) % 0.38/0.79 (define @t8 () (@var "V0f_2E0" tptp.u)) % 0.38/0.79 (define @t9 () (_ @t6 @t8)) % 0.38/0.79 (define @t10 () (@var "V2x_2E0" tptp.u)) % 0.38/0.79 (define @t11 () (_ tptp.s @t3)) % 0.38/0.79 (define @t12 () (_ @t11 @t10)) % 0.38/0.79 (define @t13 () (_ tptp.s @t2)) % 0.38/0.79 (define @t14 () (_ @t13 (_ (_ tptp.app_2E2 @t7) @t12))) % 0.38/0.79 (define @t15 () (@var "V0x_2E0" tptp.u)) % 0.38/0.79 (define @t16 () (_ @t11 @t15)) % 0.38/0.79 (define @t17 () (@var "V1y_2E0" tptp.u)) % 0.38/0.79 (define @t18 () (_ tptp.tyop_2Emin_2Efun @t2)) % 0.38/0.79 (define @t19 () (_ @t18 @t3)) % 0.38/0.79 (define @t20 () (_ tptp.s @t19)) % 0.38/0.79 (define @t21 () (@var "A_27c" tptp.d)) % 0.38/0.79 (define @t22 () (_ @t18 @t21)) % 0.38/0.79 (define @t23 () (_ @t4 @t22)) % 0.38/0.79 (define @t24 () (_ (_ tptp.s @t23) @t8)) % 0.38/0.79 (define @t25 () (_ tptp.s @t21)) % 0.38/0.79 (define @t26 () (_ @t4 @t21)) % 0.38/0.79 (define @t27 () (_ tptp.tyop_2Emin_2Efun @t5)) % 0.38/0.79 (define @t28 () (_ @t27 @t26)) % 0.38/0.79 (define @t29 () (@var "V1" Bool)) % 0.38/0.79 (define @t30 () (@var "V0" Bool)) % 0.38/0.79 (define @t31 () (@list @t30 @t29)) % 0.38/0.79 (define @t32 () (@list @t30)) % 0.38/0.79 (define @t33 () (@var "V1_2E0" tptp.u)) % 0.38/0.79 (define @t34 () (_ @t11 @t33)) % 0.38/0.79 (define @t35 () (@var "V0_2E0" tptp.u)) % 0.38/0.79 (define @t36 () (_ @t11 @t35)) % 0.38/0.79 (define @t37 () (_ tptp.s tptp.tyop_2Emin_2Ebool)) % 0.38/0.79 (define @t38 () (@var "V1x_2E0" tptp.u)) % 0.38/0.79 (define @t39 () (_ @t4 tptp.tyop_2Emin_2Ebool)) % 0.38/0.79 (define @t40 () (_ tptp.s @t39)) % 0.38/0.79 (define @t41 () (_ @t40 @t8)) % 0.38/0.79 (define @t42 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.app_2E2 @t41) (_ @t11 @t38))))) % 0.38/0.79 (define @t43 () (@list @t38)) % 0.38/0.79 (define @t44 () (@list @t3 @t8)) % 0.38/0.79 (define @t45 () (_ @t37 @t35)) % 0.38/0.79 (define @t46 () (@list @t35)) % 0.38/0.79 (define @t47 () (_ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool)) % 0.38/0.79 (define @t48 () (_ @t47 tptp.tyop_2Emin_2Ebool)) % 0.38/0.79 (define @t49 () (_ tptp.s @t48)) % 0.38/0.79 (define @t50 () (_ @t49 @t35)) % 0.38/0.79 (define @t51 () (_ tptp.s (_ @t47 @t48))) % 0.38/0.79 (define @t52 () (_ @t51 @t35)) % 0.38/0.79 (define @t53 () (@var "V0" (-> Bool Bool))) % 0.38/0.79 (define @t54 () (_ @t49 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t53))) % 0.38/0.79 (define @t55 () (@var "V0" (-> Bool Bool Bool))) % 0.38/0.79 (define @t56 () (_ @t51 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t55))) % 0.38/0.79 (define @t57 () (@var "X0_2E0" tptp.u)) % 0.38/0.79 (define @t58 () (_ @t40 @t57)) % 0.38/0.79 (define @t59 () (_ (_ tptp.tyop_2Emin_2Efun @t39) tptp.tyop_2Emin_2Ebool)) % 0.38/0.79 (define @t60 () (_ tptp.s @t59)) % 0.38/0.79 (define @t61 () (@list @t3 @t57)) % 0.38/0.79 (define @t62 () (@var "X1_2E0" tptp.u)) % 0.38/0.79 (define @t63 () (_ @t11 @t62)) % 0.38/0.79 (define @t64 () (_ @t11 @t57)) % 0.38/0.79 (define @t65 () (_ @t18 tptp.tyop_2Emin_2Ebool)) % 0.38/0.79 (define @t66 () (_ tptp.s @t65)) % 0.38/0.79 (define @t67 () (_ @t66 @t62)) % 0.38/0.79 (define @t68 () (_ @t6 @t57)) % 0.38/0.79 (define @t69 () (_ (_ tptp.tyop_2Emin_2Efun @t65) tptp.tyop_2Emin_2Ebool)) % 0.38/0.79 (define @t70 () (_ tptp.s (_ @t27 @t69))) % 0.38/0.79 (define @t71 () (_ tptp.s @t69)) % 0.38/0.79 (define @t72 () (@list @t3 @t2 @t57 @t62)) % 0.38/0.79 (define @t73 () (_ @t40 @t62)) % 0.38/0.79 (define @t74 () (_ @t20 @t57)) % 0.38/0.79 (define @t75 () (_ @t37 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t29))) % 0.38/0.79 (define @t76 () (_ @t53 @t29)) % 0.38/0.79 (define @t77 () (@list @t53 @t29)) % 0.38/0.79 (define @t78 () (_ @t55 @t29)) % 0.38/0.79 (define @t79 () (@list @t55 @t29)) % 0.38/0.79 (define @t80 () (@var "V0t" Bool)) % 0.38/0.79 (define @t81 () (not @t80)) % 0.38/0.79 (define @t82 () (@list @t80)) % 0.38/0.79 (define @t83 () (forall @t82 (= (not @t81) @t80))) % 0.38/0.79 (define @t84 () (_ @t11 @t17)) % 0.38/0.79 (define @t85 () (@var "V2t3" Bool)) % 0.38/0.79 (define @t86 () (@var "V1t2" Bool)) % 0.38/0.79 (define @t87 () (@var "V0t1" Bool)) % 0.38/0.79 (define @t88 () (@var "V3y_27" Bool)) % 0.38/0.79 (define @t89 () (@var "V1x_27" Bool)) % 0.38/0.79 (define @t90 () (@var "V2y" Bool)) % 0.38/0.79 (define @t91 () (@var "V0x" Bool)) % 0.38/0.79 (define @t92 () (@var "V19fv_2E0" tptp.u)) % 0.38/0.79 (define @t93 () (_ @t11 @t92)) % 0.38/0.79 (define @t94 () (@var "V16i_2E0" tptp.u)) % 0.38/0.79 (define @t95 () (_ @t6 @t94)) % 0.38/0.79 (define @t96 () (_ (_ tptp.app_2E2 @t95) @t93)) % 0.38/0.79 (define @t97 () (_ @t13 @t96)) % 0.38/0.79 (define @t98 () (@var "V18v_2E0" tptp.u)) % 0.38/0.79 (define @t99 () (_ @t13 @t98)) % 0.38/0.79 (define @t100 () (= @t99 @t97)) % 0.38/0.79 (define @t101 () (@list @t92)) % 0.38/0.79 (define @t102 () (exists @t101 @t100)) % 0.38/0.79 (define @t103 () (@var "V17P_2E0" tptp.u)) % 0.38/0.79 (define @t104 () (_ @t66 @t103)) % 0.38/0.79 (define @t105 () (_ (_ tptp.app_2E2 @t104) @t99)) % 0.38/0.79 (define @t106 () (_ @t37 @t105)) % 0.38/0.79 (define @t107 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t106)) % 0.38/0.79 (define @t108 () (not @t107)) % 0.38/0.79 (define @t109 () (=> @t108 @t102)) % 0.38/0.79 (define @t110 () (@list @t98)) % 0.38/0.79 (define @t111 () (forall @t110 @t109)) % 0.38/0.79 (define @t112 () (_ (_ tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @t95) @t104)) % 0.38/0.79 (define @t113 () (_ @t37 @t112)) % 0.38/0.79 (define @t114 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t113)) % 0.38/0.79 (define @t115 () (= @t114 @t111)) % 0.38/0.79 (define @t116 () (@list @t94 @t103)) % 0.38/0.79 (define @t117 () (forall @t116 @t115)) % 0.38/0.79 (define @t118 () (@var "V15fv_2E0" tptp.u)) % 0.38/0.79 (define @t119 () (_ @t11 @t118)) % 0.38/0.79 (define @t120 () (@var "V12i_2E0" tptp.u)) % 0.38/0.79 (define @t121 () (_ @t6 @t120)) % 0.38/0.79 (define @t122 () (_ (_ tptp.app_2E2 @t121) @t119)) % 0.38/0.79 (define @t123 () (_ @t13 @t122)) % 0.38/0.79 (define @t124 () (@var "V14v_2E0" tptp.u)) % 0.38/0.79 (define @t125 () (_ @t13 @t124)) % 0.38/0.79 (define @t126 () (= @t125 @t123)) % 0.38/0.79 (define @t127 () (@list @t118)) % 0.38/0.79 (define @t128 () (exists @t127 @t126)) % 0.38/0.79 (define @t129 () (@var "V13P_2E0" tptp.u)) % 0.38/0.79 (define @t130 () (_ @t66 @t129)) % 0.38/0.79 (define @t131 () (_ (_ tptp.app_2E2 @t130) @t125)) % 0.38/0.79 (define @t132 () (_ @t37 @t131)) % 0.38/0.79 (define @t133 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t132)) % 0.38/0.79 (define @t134 () (=> @t133 @t128)) % 0.38/0.79 (define @t135 () (@list @t124)) % 0.38/0.79 (define @t136 () (forall @t135 @t134)) % 0.38/0.79 (define @t137 () (_ (_ tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @t121) @t130)) % 0.38/0.79 (define @t138 () (_ @t37 @t137)) % 0.38/0.79 (define @t139 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t138)) % 0.38/0.79 (define @t140 () (= @t139 @t136)) % 0.38/0.79 (define @t141 () (@list @t120 @t129)) % 0.38/0.79 (define @t142 () (forall @t141 @t140)) % 0.38/0.79 (define @t143 () (@var "V11fv_2E0" tptp.u)) % 0.38/0.79 (define @t144 () (_ @t11 @t143)) % 0.38/0.79 (define @t145 () (@var "V9i_2E0" tptp.u)) % 0.38/0.79 (define @t146 () (_ @t6 @t145)) % 0.38/0.79 (define @t147 () (_ (_ tptp.app_2E2 @t146) @t144)) % 0.38/0.79 (define @t148 () (_ @t13 @t147)) % 0.38/0.79 (define @t149 () (@var "V10P_2E0" tptp.u)) % 0.38/0.79 (define @t150 () (_ @t66 @t149)) % 0.38/0.79 (define @t151 () (_ (_ tptp.app_2E2 @t150) @t148)) % 0.38/0.79 (define @t152 () (_ @t37 @t151)) % 0.38/0.79 (define @t153 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t152)) % 0.38/0.79 (define @t154 () (not @t153)) % 0.38/0.79 (define @t155 () (@list @t143)) % 0.38/0.79 (define @t156 () (forall @t155 @t154)) % 0.38/0.79 (define @t157 () (_ (_ tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t146) @t150)) % 0.38/0.79 (define @t158 () (_ @t37 @t157)) % 0.38/0.79 (define @t159 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t158)) % 0.38/0.79 (define @t160 () (= @t159 @t156)) % 0.38/0.79 (define @t161 () (@list @t145 @t149)) % 0.38/0.79 (define @t162 () (forall @t161 @t160)) % 0.38/0.79 (define @t163 () (@var "V8fv_2E0" tptp.u)) % 0.38/0.79 (define @t164 () (_ @t11 @t163)) % 0.38/0.79 (define @t165 () (@var "V6i_2E0" tptp.u)) % 0.38/0.79 (define @t166 () (_ @t6 @t165)) % 0.38/0.79 (define @t167 () (_ (_ tptp.app_2E2 @t166) @t164)) % 0.38/0.79 (define @t168 () (_ @t13 @t167)) % 0.38/0.79 (define @t169 () (@var "V7P_2E0" tptp.u)) % 0.38/0.79 (define @t170 () (_ @t66 @t169)) % 0.38/0.79 (define @t171 () (_ (_ tptp.app_2E2 @t170) @t168)) % 0.38/0.79 (define @t172 () (_ @t37 @t171)) % 0.38/0.79 (define @t173 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t172)) % 0.38/0.79 (define @t174 () (@list @t163)) % 0.38/0.79 (define @t175 () (forall @t174 @t173)) % 0.38/0.79 (define @t176 () (_ (_ tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @t166) @t170)) % 0.38/0.79 (define @t177 () (_ @t37 @t176)) % 0.38/0.79 (define @t178 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t177)) % 0.38/0.79 (define @t179 () (= @t178 @t175)) % 0.38/0.79 (define @t180 () (@list @t165 @t169)) % 0.38/0.79 (define @t181 () (forall @t180 @t179)) % 0.38/0.79 (define @t182 () (@var "V5fv_2E0" tptp.u)) % 0.38/0.79 (define @t183 () (_ @t11 @t182)) % 0.38/0.79 (define @t184 () (@var "V0i_2E0" tptp.u)) % 0.38/0.79 (define @t185 () (_ @t6 @t184)) % 0.38/0.79 (define @t186 () (_ tptp.app_2E2 @t185)) % 0.38/0.79 (define @t187 () (_ @t186 @t183)) % 0.38/0.79 (define @t188 () (_ @t13 @t187)) % 0.38/0.79 (define @t189 () (@var "V1P_2E0" tptp.u)) % 0.38/0.79 (define @t190 () (_ @t66 @t189)) % 0.38/0.79 (define @t191 () (_ tptp.app_2E2 @t190)) % 0.38/0.79 (define @t192 () (_ @t191 @t188)) % 0.38/0.79 (define @t193 () (_ @t37 @t192)) % 0.38/0.79 (define @t194 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t193)) % 0.38/0.79 (define @t195 () (not @t194)) % 0.38/0.79 (define @t196 () (@list @t182)) % 0.38/0.79 (define @t197 () (exists @t196 @t195)) % 0.38/0.79 (define @t198 () (@var "V4v_2E0" tptp.u)) % 0.38/0.79 (define @t199 () (_ @t13 @t198)) % 0.38/0.79 (define @t200 () (_ @t191 @t199)) % 0.38/0.79 (define @t201 () (_ @t37 @t200)) % 0.38/0.79 (define @t202 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t201)) % 0.38/0.79 (define @t203 () (not @t202)) % 0.38/0.79 (define @t204 () (=> @t203 @t197)) % 0.38/0.79 (define @t205 () (@list @t198)) % 0.38/0.79 (define @t206 () (forall @t205 @t204)) % 0.38/0.79 (define @t207 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2 @t185) @t190)))) % 0.38/0.79 (define @t208 () (= @t207 @t206)) % 0.38/0.79 (define @t209 () (@var "V3fv_2E0" tptp.u)) % 0.38/0.79 (define @t210 () (_ @t11 @t209)) % 0.38/0.79 (define @t211 () (_ @t186 @t210)) % 0.38/0.79 (define @t212 () (_ @t13 @t211)) % 0.38/0.79 (define @t213 () (_ @t191 @t212)) % 0.38/0.79 (define @t214 () (_ @t37 @t213)) % 0.38/0.79 (define @t215 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t214)) % 0.38/0.79 (define @t216 () (@list @t209)) % 0.38/0.79 (define @t217 () (exists @t216 @t215)) % 0.38/0.79 (define @t218 () (@var "V2v_2E0" tptp.u)) % 0.38/0.79 (define @t219 () (_ @t13 @t218)) % 0.38/0.79 (define @t220 () (_ @t191 @t219)) % 0.38/0.79 (define @t221 () (_ @t37 @t220)) % 0.38/0.79 (define @t222 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t221)) % 0.38/0.79 (define @t223 () (=> @t222 @t217)) % 0.38/0.79 (define @t224 () (@list @t218)) % 0.38/0.79 (define @t225 () (forall @t224 @t223)) % 0.38/0.79 (define @t226 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @t185) @t190)))) % 0.38/0.79 (define @t227 () (= @t226 @t225)) % 0.38/0.79 (define @t228 () (and @t227 @t208 @t181 @t162 @t142 @t117)) % 0.38/0.79 (define @t229 () (@list @t3 @t2 @t184 @t189)) % 0.38/0.79 (define @t230 () (forall @t229 @t228)) % 0.38/0.79 (define @t231 () (@var "V0A" Bool)) % 0.38/0.79 (define @t232 () (=> (not @t231) tptp.mono_2Ec_2Ebool_2EF)) % 0.38/0.79 (define @t233 () (@list @t231)) % 0.38/0.79 (define @t234 () (@var "V0B" Bool)) % 0.38/0.79 (define @t235 () (=> (not @t234) tptp.mono_2Ec_2Ebool_2EF)) % 0.38/0.79 (define @t236 () (@var "V1A" Bool)) % 0.38/0.79 (define @t237 () (@list @t234 @t236)) % 0.38/0.79 (define @t238 () (@var "V2p" Bool)) % 0.38/0.79 (define @t239 () (not @t238)) % 0.38/0.79 (define @t240 () (@var "V1q" Bool)) % 0.38/0.79 (define @t241 () (not @t240)) % 0.38/0.79 (define @t242 () (@var "V0r" Bool)) % 0.38/0.79 (define @t243 () (not @t242)) % 0.38/0.79 (define @t244 () (@list @t242 @t240 @t238)) % 0.38/0.79 (define @t245 () (or @t238 @t243)) % 0.38/0.79 (define @t246 () (@var "V1p" Bool)) % 0.38/0.79 (define @t247 () (@var "V0q" Bool)) % 0.38/0.79 (define @t248 () (not @t247)) % 0.38/0.79 (define @t249 () (@list @t247 @t246)) % 0.38/0.79 (define @t250 () (not (=> @t246 @t247))) % 0.38/0.79 (define @t251 () (@var "V2Q_2E0" tptp.u)) % 0.38/0.79 (define @t252 () (_ @t40 @t251)) % 0.38/0.79 (define @t253 () (_ @t20 @t184)) % 0.38/0.79 (define @t254 () (_ tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t253)) % 0.38/0.79 (define @t255 () (_ @t254 @t252)) % 0.38/0.79 (define @t256 () (_ @t37 @t255)) % 0.38/0.79 (define @t257 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t256)) % 0.38/0.79 (define @t258 () (_ @t40 @t189)) % 0.38/0.79 (define @t259 () (_ @t254 @t258)) % 0.38/0.79 (define @t260 () (_ @t37 @t259)) % 0.38/0.79 (define @t261 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t260)) % 0.38/0.79 (define @t262 () (=> @t261 @t257)) % 0.38/0.79 (define @t263 () (@var "V3x_2E0" tptp.u)) % 0.38/0.79 (define @t264 () (_ @t11 @t263)) % 0.38/0.79 (define @t265 () (_ (_ tptp.app_2E2 @t258) @t264)) % 0.38/0.79 (define @t266 () (_ @t37 @t265)) % 0.38/0.79 (define @t267 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t266)) % 0.38/0.79 (define @t268 () (_ (_ tptp.app_2E2 @t252) @t264)) % 0.38/0.79 (define @t269 () (_ @t37 @t268)) % 0.38/0.79 (define @t270 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t269)) % 0.38/0.79 (define @t271 () (@list @t263)) % 0.38/0.79 (define @t272 () (forall @t271 (=> @t270 @t267))) % 0.38/0.79 (define @t273 () (=> @t272 @t262)) % 0.38/0.79 (define @t274 () (@list @t3 @t2 @t184 @t189 @t251)) % 0.38/0.79 (define @t275 () (forall @t274 @t273)) % 0.38/0.79 (define @t276 () (not @t275)) % 0.38/0.79 (define @t277 () (@var "BOUND_VARIABLE_9317" tptp.d)) % 0.38/0.79 (define @t278 () (tptp.s (tptp.tyop_2Emin_2Efun @t277 tptp.tyop_2Emin_2Ebool) @t103)) % 0.38/0.79 (define @t279 () (@var "BOUND_VARIABLE_9315" tptp.d)) % 0.38/0.79 (define @t280 () (tptp.s (tptp.tyop_2Emin_2Efun @t279 @t277) @t94)) % 0.38/0.79 (define @t281 () (tptp.s @t277 @t98)) % 0.38/0.79 (define @t282 () (= (forall @t110 (or (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t278 @t281))) (not (forall @t101 (not (= @t281 (tptp.s @t277 (tptp.app_2E2 @t280 (tptp.s @t279 @t92))))))))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @t280 @t278))))) % 0.38/0.79 (define @t283 () (@var "BOUND_VARIABLE_9321" tptp.u)) % 0.38/0.79 (define @t284 () (@var "BOUND_VARIABLE_9319" tptp.u)) % 0.38/0.79 (define @t285 () (forall (@list @t279 @t277 @t284 @t283 @t94 @t103) @t282)) % 0.38/0.79 (define @t286 () (forall (@list @t279 @t277 @t284 @t283) (forall @t116 @t282))) % 0.38/0.79 (define @t287 () (@var "BOUND_VARIABLE_9283" tptp.d)) % 0.38/0.79 (define @t288 () (tptp.s (tptp.tyop_2Emin_2Efun @t287 tptp.tyop_2Emin_2Ebool) @t129)) % 0.38/0.79 (define @t289 () (@var "BOUND_VARIABLE_9281" tptp.d)) % 0.38/0.79 (define @t290 () (tptp.s (tptp.tyop_2Emin_2Efun @t289 @t287) @t120)) % 0.38/0.79 (define @t291 () (tptp.s @t287 @t124)) % 0.38/0.79 (define @t292 () (= (forall @t135 (or (not (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t288 @t291)))) (not (forall @t127 (not (= @t291 (tptp.s @t287 (tptp.app_2E2 @t290 (tptp.s @t289 @t118))))))))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @t290 @t288))))) % 0.38/0.79 (define @t293 () (@var "BOUND_VARIABLE_9287" tptp.u)) % 0.38/0.79 (define @t294 () (@var "BOUND_VARIABLE_9285" tptp.u)) % 0.38/0.79 (define @t295 () (forall (@list @t289 @t287 @t294 @t293 @t120 @t129) @t292)) % 0.38/0.79 (define @t296 () (forall (@list @t289 @t287 @t294 @t293) (forall @t141 @t292))) % 0.38/0.79 (define @t297 () (@var "BOUND_VARIABLE_9255" tptp.d)) % 0.38/0.79 (define @t298 () (tptp.s (tptp.tyop_2Emin_2Efun @t297 tptp.tyop_2Emin_2Ebool) @t149)) % 0.38/0.79 (define @t299 () (@var "BOUND_VARIABLE_9253" tptp.d)) % 0.38/0.79 (define @t300 () (tptp.s (tptp.tyop_2Emin_2Efun @t299 @t297) @t145)) % 0.38/0.79 (define @t301 () (= (forall @t155 (not (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t298 (tptp.s @t297 (tptp.app_2E2 @t300 (tptp.s @t299 @t143)))))))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t300 @t298))))) % 0.38/0.79 (define @t302 () (forall (@list @t299 @t297 @t145 @t149) @t301)) % 0.38/0.79 (define @t303 () (@var "BOUND_VARIABLE_9259" tptp.u)) % 0.38/0.79 (define @t304 () (@var "BOUND_VARIABLE_9257" tptp.u)) % 0.38/0.79 (define @t305 () (forall (@list @t299 @t297 @t304 @t303 @t145 @t149) @t301)) % 0.38/0.79 (define @t306 () (forall (@list @t299 @t297 @t304 @t303) (forall @t161 @t301))) % 0.38/0.79 (define @t307 () (@var "BOUND_VARIABLE_9229" tptp.d)) % 0.38/0.79 (define @t308 () (tptp.s (tptp.tyop_2Emin_2Efun @t307 tptp.tyop_2Emin_2Ebool) @t169)) % 0.38/0.79 (define @t309 () (@var "BOUND_VARIABLE_9227" tptp.d)) % 0.38/0.79 (define @t310 () (tptp.s (tptp.tyop_2Emin_2Efun @t309 @t307) @t165)) % 0.38/0.79 (define @t311 () (= (forall @t174 (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t308 (tptp.s @t307 (tptp.app_2E2 @t310 (tptp.s @t309 @t163))))))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @t310 @t308))))) % 0.38/0.79 (define @t312 () (@var "BOUND_VARIABLE_9233" tptp.u)) % 0.38/0.79 (define @t313 () (@var "BOUND_VARIABLE_9231" tptp.u)) % 0.38/0.79 (define @t314 () (forall (@list @t309 @t307 @t313 @t312 @t165 @t169) @t311)) % 0.38/0.79 (define @t315 () (forall (@list @t309 @t307 @t313 @t312) (forall @t180 @t311))) % 0.38/0.79 (define @t316 () (@var "BOUND_VARIABLE_9192" tptp.u)) % 0.38/0.79 (define @t317 () (@var "BOUND_VARIABLE_9188" tptp.d)) % 0.38/0.79 (define @t318 () (tptp.tyop_2Emin_2Efun @t317 tptp.tyop_2Emin_2Ebool)) % 0.38/0.79 (define @t319 () (tptp.s @t318 @t316)) % 0.38/0.79 (define @t320 () (@var "BOUND_VARIABLE_9190" tptp.u)) % 0.38/0.79 (define @t321 () (@var "BOUND_VARIABLE_9186" tptp.d)) % 0.38/0.79 (define @t322 () (tptp.tyop_2Emin_2Efun @t321 @t317)) % 0.38/0.79 (define @t323 () (tptp.s @t322 @t320)) % 0.38/0.79 (define @t324 () (tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2 @t323 @t319)) % 0.38/0.79 (define @t325 () (tptp.s tptp.tyop_2Emin_2Ebool @t324)) % 0.38/0.79 (define @t326 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t325)) % 0.38/0.79 (define @t327 () (or (not (forall @t196 (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t319 (tptp.s @t317 (tptp.app_2E2 @t323 (tptp.s @t321 @t182)))))))) (forall @t205 (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t319 (tptp.s @t317 @t198))))))) % 0.38/0.79 (define @t328 () (@list @t321 @t317 @t320 @t316)) % 0.38/0.79 (define @t329 () (_ (_ tptp.tyop_2Emin_2Efun @t317) tptp.tyop_2Emin_2Ebool)) % 0.38/0.79 (define @t330 () (_ (_ tptp.s @t329) @t316)) % 0.38/0.79 (define @t331 () (_ (_ tptp.tyop_2Emin_2Efun @t321) @t317)) % 0.38/0.79 (define @t332 () (_ (_ tptp.s @t331) @t320)) % 0.38/0.79 (define @t333 () (_ (_ tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2 @t332) @t330)) % 0.38/0.79 (define @t334 () (_ @t37 @t333)) % 0.38/0.79 (define @t335 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t334)) % 0.38/0.79 (define @t336 () (= @t335 @t327)) % 0.38/0.79 (define @t337 () (forall @t328 @t336)) % 0.38/0.79 (define @t338 () (@var "BOUND_VARIABLE_9149" tptp.u)) % 0.38/0.79 (define @t339 () (@var "BOUND_VARIABLE_9145" tptp.d)) % 0.38/0.79 (define @t340 () (tptp.tyop_2Emin_2Efun @t339 tptp.tyop_2Emin_2Ebool)) % 0.38/0.79 (define @t341 () (tptp.s @t340 @t338)) % 0.38/0.79 (define @t342 () (@var "BOUND_VARIABLE_9147" tptp.u)) % 0.38/0.79 (define @t343 () (@var "BOUND_VARIABLE_9143" tptp.d)) % 0.38/0.79 (define @t344 () (tptp.tyop_2Emin_2Efun @t343 @t339)) % 0.38/0.79 (define @t345 () (tptp.s @t344 @t342)) % 0.38/0.79 (define @t346 () (tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @t345 @t341)) % 0.38/0.79 (define @t347 () (tptp.s tptp.tyop_2Emin_2Ebool @t346)) % 0.38/0.79 (define @t348 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t347)) % 0.38/0.79 (define @t349 () (or (not (forall @t216 (not (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t341 (tptp.s @t339 (tptp.app_2E2 @t345 (tptp.s @t343 @t209))))))))) (forall @t224 (not (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t341 (tptp.s @t339 @t218)))))))) % 0.38/0.79 (define @t350 () (@list @t343 @t339 @t342 @t338)) % 0.38/0.79 (define @t351 () (_ (_ tptp.tyop_2Emin_2Efun @t339) tptp.tyop_2Emin_2Ebool)) % 0.38/0.79 (define @t352 () (_ (_ tptp.s @t351) @t338)) % 0.38/0.79 (define @t353 () (_ (_ tptp.tyop_2Emin_2Efun @t343) @t339)) % 0.38/0.79 (define @t354 () (_ (_ tptp.s @t353) @t342)) % 0.38/0.79 (define @t355 () (_ (_ tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @t354) @t352)) % 0.38/0.79 (define @t356 () (_ @t37 @t355)) % 0.38/0.79 (define @t357 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t356)) % 0.38/0.79 (define @t358 () (= @t357 @t349)) % 0.38/0.79 (define @t359 () (forall @t350 @t358)) % 0.38/0.79 (define @t360 () (tptp.tyop_2Emin_2Efun @t2 tptp.tyop_2Emin_2Ebool)) % 0.38/0.79 (define @t361 () (tptp.s @t360 @t103)) % 0.38/0.79 (define @t362 () (tptp.tyop_2Emin_2Efun @t3 @t2)) % 0.38/0.79 (define @t363 () (tptp.s @t362 @t94)) % 0.38/0.79 (define @t364 () (tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @t363 @t361)) % 0.38/0.79 (define @t365 () (tptp.s tptp.tyop_2Emin_2Ebool @t364)) % 0.38/0.79 (define @t366 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t365)) % 0.38/0.79 (define @t367 () (tptp.s @t3 @t92)) % 0.38/0.79 (define @t368 () (tptp.app_2E2 @t363 @t367)) % 0.38/0.79 (define @t369 () (tptp.s @t2 @t368)) % 0.38/0.79 (define @t370 () (tptp.s @t2 @t98)) % 0.38/0.79 (define @t371 () (not (forall @t101 (not (= @t370 @t369))))) % 0.38/0.79 (define @t372 () (tptp.app_2E2 @t361 @t370)) % 0.38/0.79 (define @t373 () (tptp.s tptp.tyop_2Emin_2Ebool @t372)) % 0.38/0.79 (define @t374 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t373)) % 0.38/0.79 (define @t375 () (forall @t110 (or @t374 @t371))) % 0.38/0.79 (define @t376 () (forall @t116 (= @t375 @t366))) % 0.38/0.79 (define @t377 () (forall @t229 @t376)) % 0.38/0.79 (define @t378 () (@list @t3 @t2 @t184 @t189)) % 0.38/0.79 (define @t379 () (tptp.s @t360 @t129)) % 0.38/0.79 (define @t380 () (tptp.s @t362 @t120)) % 0.38/0.79 (define @t381 () (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @t380 @t379)) % 0.38/0.79 (define @t382 () (tptp.s tptp.tyop_2Emin_2Ebool @t381)) % 0.38/0.79 (define @t383 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t382)) % 0.38/0.79 (define @t384 () (tptp.s @t3 @t118)) % 0.38/0.79 (define @t385 () (tptp.app_2E2 @t380 @t384)) % 0.38/0.79 (define @t386 () (tptp.s @t2 @t385)) % 0.38/0.79 (define @t387 () (tptp.s @t2 @t124)) % 0.38/0.79 (define @t388 () (not (forall @t127 (not (= @t387 @t386))))) % 0.38/0.79 (define @t389 () (tptp.app_2E2 @t379 @t387)) % 0.38/0.79 (define @t390 () (tptp.s tptp.tyop_2Emin_2Ebool @t389)) % 0.38/0.79 (define @t391 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t390)) % 0.38/0.79 (define @t392 () (forall @t135 (or (not @t391) @t388))) % 0.38/0.79 (define @t393 () (forall @t141 (= @t392 @t383))) % 0.38/0.79 (define @t394 () (forall @t229 @t393)) % 0.38/0.79 (define @t395 () (tptp.s @t360 @t149)) % 0.38/0.79 (define @t396 () (tptp.s @t362 @t145)) % 0.38/0.79 (define @t397 () (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t396 @t395)) % 0.38/0.79 (define @t398 () (tptp.s tptp.tyop_2Emin_2Ebool @t397)) % 0.38/0.79 (define @t399 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t398)) % 0.38/0.79 (define @t400 () (tptp.s @t3 @t143)) % 0.38/0.79 (define @t401 () (tptp.app_2E2 @t396 @t400)) % 0.38/0.79 (define @t402 () (tptp.s @t2 @t401)) % 0.38/0.79 (define @t403 () (tptp.app_2E2 @t395 @t402)) % 0.38/0.79 (define @t404 () (tptp.s tptp.tyop_2Emin_2Ebool @t403)) % 0.38/0.79 (define @t405 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t404)) % 0.38/0.79 (define @t406 () (forall @t155 (not @t405))) % 0.38/0.79 (define @t407 () (forall @t161 (= @t406 @t399))) % 0.38/0.79 (define @t408 () (forall @t229 @t407)) % 0.38/0.79 (define @t409 () (tptp.s @t360 @t169)) % 0.38/0.79 (define @t410 () (tptp.s @t362 @t165)) % 0.38/0.79 (define @t411 () (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @t410 @t409)) % 0.38/0.79 (define @t412 () (tptp.s tptp.tyop_2Emin_2Ebool @t411)) % 0.38/0.79 (define @t413 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t412)) % 0.38/0.79 (define @t414 () (tptp.s @t3 @t163)) % 0.38/0.79 (define @t415 () (tptp.app_2E2 @t410 @t414)) % 0.38/0.79 (define @t416 () (tptp.s @t2 @t415)) % 0.38/0.79 (define @t417 () (tptp.app_2E2 @t409 @t416)) % 0.38/0.79 (define @t418 () (tptp.s tptp.tyop_2Emin_2Ebool @t417)) % 0.38/0.79 (define @t419 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t418)) % 0.38/0.79 (define @t420 () (forall @t174 @t419)) % 0.38/0.79 (define @t421 () (forall @t180 (= @t420 @t413))) % 0.38/0.79 (define @t422 () (forall @t229 @t421)) % 0.38/0.79 (define @t423 () (tptp.s @t2 @t198)) % 0.38/0.79 (define @t424 () (tptp.s @t360 @t189)) % 0.38/0.79 (define @t425 () (tptp.app_2E2 @t424 @t423)) % 0.38/0.79 (define @t426 () (tptp.s tptp.tyop_2Emin_2Ebool @t425)) % 0.38/0.79 (define @t427 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t426)) % 0.38/0.79 (define @t428 () (tptp.s @t3 @t182)) % 0.38/0.79 (define @t429 () (tptp.s @t362 @t184)) % 0.38/0.79 (define @t430 () (tptp.app_2E2 @t429 @t428)) % 0.38/0.79 (define @t431 () (tptp.s @t2 @t430)) % 0.38/0.79 (define @t432 () (tptp.app_2E2 @t424 @t431)) % 0.38/0.79 (define @t433 () (tptp.s tptp.tyop_2Emin_2Ebool @t432)) % 0.38/0.79 (define @t434 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t433)) % 0.38/0.79 (define @t435 () (not (forall @t196 @t434))) % 0.38/0.79 (define @t436 () (= @t207 (or @t435 (forall @t205 @t427)))) % 0.38/0.79 (define @t437 () (forall @t229 @t436)) % 0.38/0.79 (define @t438 () (tptp.s @t2 @t218)) % 0.38/0.79 (define @t439 () (tptp.app_2E2 @t424 @t438)) % 0.38/0.79 (define @t440 () (tptp.s tptp.tyop_2Emin_2Ebool @t439)) % 0.38/0.79 (define @t441 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t440)) % 0.38/0.79 (define @t442 () (tptp.s @t3 @t209)) % 0.38/0.79 (define @t443 () (tptp.app_2E2 @t429 @t442)) % 0.38/0.79 (define @t444 () (tptp.s @t2 @t443)) % 0.38/0.79 (define @t445 () (tptp.app_2E2 @t424 @t444)) % 0.38/0.79 (define @t446 () (tptp.s tptp.tyop_2Emin_2Ebool @t445)) % 0.38/0.79 (define @t447 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t446)) % 0.38/0.79 (define @t448 () (not (forall @t216 (not @t447)))) % 0.38/0.79 (define @t449 () (= @t226 (or @t448 (forall @t224 (not @t441))))) % 0.38/0.79 (define @t450 () (forall @t229 @t449)) % 0.38/0.79 (define @t451 () (and @t450 @t437 @t422 @t408 @t394 @t377)) % 0.38/0.79 (define @t452 () (_ tptp.s @t360)) % 0.38/0.79 (define @t453 () (_ tptp.s @t362)) % 0.38/0.79 (define @t454 () (= @t114 @t375)) % 0.38/0.79 (define @t455 () (or @t107 @t371)) % 0.38/0.79 (define @t456 () (not @t100)) % 0.38/0.79 (define @t457 () (forall @t101 @t456)) % 0.38/0.79 (define @t458 () (not @t457)) % 0.38/0.79 (define @t459 () (= @t139 @t392)) % 0.38/0.79 (define @t460 () (not @t133)) % 0.38/0.79 (define @t461 () (or @t460 @t388)) % 0.38/0.79 (define @t462 () (not @t126)) % 0.38/0.79 (define @t463 () (forall @t127 @t462)) % 0.38/0.79 (define @t464 () (not @t463)) % 0.38/0.79 (define @t465 () (= @t159 @t406)) % 0.38/0.79 (define @t466 () (= @t178 @t420)) % 0.38/0.79 (define @t467 () (_ tptp.app_2E2 @t424)) % 0.38/0.79 (define @t468 () (forall @t205 @t202)) % 0.38/0.79 (define @t469 () (or @t435 @t468)) % 0.38/0.79 (define @t470 () (or @t435 @t202)) % 0.38/0.79 (define @t471 () (or @t202 @t435)) % 0.38/0.79 (define @t472 () (_ tptp.app_2E2 @t429)) % 0.38/0.79 (define @t473 () (forall @t196 (not @t195))) % 0.38/0.79 (define @t474 () (not @t473)) % 0.38/0.79 (define @t475 () (not @t222)) % 0.38/0.79 (define @t476 () (forall @t224 @t475)) % 0.38/0.79 (define @t477 () (or @t448 @t476)) % 0.38/0.79 (define @t478 () (or @t448 @t475)) % 0.38/0.79 (define @t479 () (or @t475 @t448)) % 0.38/0.79 (define @t480 () (not @t215)) % 0.38/0.79 (define @t481 () (forall @t216 @t480)) % 0.38/0.79 (define @t482 () (not @t481)) % 0.38/0.79 (define @t483 () (tptp.tyop_2Emin_2Efun @t3 tptp.tyop_2Emin_2Ebool)) % 0.38/0.79 (define @t484 () (tptp.s @t483 @t251)) % 0.38/0.79 (define @t485 () (tptp.tyop_2Emin_2Efun @t2 @t3)) % 0.38/0.79 (define @t486 () (tptp.s @t485 @t184)) % 0.38/0.79 (define @t487 () (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t486 @t484)) % 0.38/0.79 (define @t488 () (tptp.s tptp.tyop_2Emin_2Ebool @t487)) % 0.38/0.79 (define @t489 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t488)) % 0.38/0.79 (define @t490 () (tptp.s @t483 @t189)) % 0.38/0.79 (define @t491 () (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t486 @t490)) % 0.38/0.79 (define @t492 () (tptp.s tptp.tyop_2Emin_2Ebool @t491)) % 0.38/0.79 (define @t493 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t492)) % 0.38/0.79 (define @t494 () (tptp.s @t3 @t263)) % 0.38/0.79 (define @t495 () (tptp.app_2E2 @t490 @t494)) % 0.38/0.79 (define @t496 () (tptp.s tptp.tyop_2Emin_2Ebool @t495)) % 0.38/0.79 (define @t497 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t496)) % 0.38/0.79 (define @t498 () (tptp.app_2E2 @t484 @t494)) % 0.38/0.79 (define @t499 () (tptp.s tptp.tyop_2Emin_2Ebool @t498)) % 0.38/0.79 (define @t500 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t499)) % 0.38/0.79 (define @t501 () (forall @t271 (or (not @t500) @t497))) % 0.38/0.79 (define @t502 () (not @t501)) % 0.38/0.79 (define @t503 () (forall @t274 (or @t502 (not @t493) @t489))) % 0.38/0.79 (define @t504 () (@quantifiers_skolemize @t503 1)) % 0.38/0.79 (define @t505 () (@quantifiers_skolemize @t503 2)) % 0.38/0.79 (define @t506 () (@quantifiers_skolemize @t503 0)) % 0.38/0.79 (define @t507 () (tptp.s (tptp.tyop_2Emin_2Efun @t504 @t506) @t505)) % 0.38/0.79 (define @t508 () (tptp.s @t506 (tptp.app_2E2 @t507 (tptp.s @t504 @t143)))) % 0.38/0.79 (define @t509 () (@quantifiers_skolemize @t503 4)) % 0.38/0.79 (define @t510 () (tptp.tyop_2Emin_2Efun @t506 tptp.tyop_2Emin_2Ebool)) % 0.38/0.79 (define @t511 () (tptp.s @t510 @t509)) % 0.38/0.79 (define @t512 () (forall @t155 (not (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t511 @t508)))))) % 0.38/0.79 (define @t513 () (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t507 @t511)))) % 0.38/0.79 (define @t514 () (= @t512 @t513)) % 0.38/0.79 (define @t515 () (= @t513 @t512)) % 0.38/0.79 (define @t516 () (@list false)) % 0.38/0.79 (define @t517 () (@list @t302)) % 0.38/0.79 (define @t518 () (_ tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t486)) % 0.38/0.79 (define @t519 () (_ tptp.s @t483)) % 0.38/0.79 (define @t520 () (not @t261)) % 0.38/0.79 (define @t521 () (or @t502 @t520 @t257)) % 0.38/0.79 (define @t522 () (not @t270)) % 0.38/0.79 (define @t523 () (or @t522 @t267)) % 0.38/0.79 (define @t524 () (@quantifiers_skolemize @t503 3)) % 0.38/0.79 (define @t525 () (tptp.s @t510 @t524)) % 0.38/0.79 (define @t526 () (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t507 @t525)))) % 0.38/0.79 (define @t527 () (not @t526)) % 0.38/0.79 (define @t528 () (tptp.s @t506 @t263)) % 0.38/0.79 (define @t529 () (forall @t271 (or (not (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t511 @t528)))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t525 @t528)))))) % 0.38/0.79 (define @t530 () (not @t529)) % 0.38/0.79 (define @t531 () (or @t530 @t527 @t513)) % 0.38/0.79 (define @t532 () (@list true)) % 0.38/0.79 (define @t533 () (@list @t531)) % 0.38/0.79 (define @t534 () (not @t512)) % 0.38/0.79 (define @t535 () (@quantifiers_skolemize @t512 0)) % 0.38/0.79 (define @t536 () (tptp.app_2E2 @t507 (tptp.s @t504 @t535))) % 0.38/0.79 (define @t537 () (tptp.s @t506 @t536)) % 0.38/0.79 (define @t538 () (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t511 @t537)))) % 0.38/0.79 (define @t539 () (not @t538)) % 0.38/0.79 (define @t540 () (not @t539)) % 0.38/0.79 (define @t541 () (forall @t155 (not (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t525 @t508)))))) % 0.38/0.79 (define @t542 () (= @t541 @t526)) % 0.38/0.79 (define @t543 () (= @t526 @t541)) % 0.38/0.79 (define @t544 () (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t525 @t537)))) % 0.38/0.79 (define @t545 () (or @t539 @t544)) % 0.38/0.79 (assume @p1 (forall (@list @t3 @t2 @t8 @t1) (=> (forall (@list @t10) (= (_ @t13 (_ (_ tptp.app_2E2 @t9) @t12)) @t14)) (= @t9 @t7)))) % 0.38/0.79 (assume @p2 (forall (@list @t3 @t15) (= (_ @t11 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t3)) tptp.combin_i_2E0)) @t16)) @t16))) % 0.38/0.79 (assume @p3 (forall (@list @t3 @t2 @t15 @t17) (= (_ @t11 (_ (_ tptp.app_2E2 (_ @t20 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t19)) tptp.combin_k_2E0)) @t16))) (_ @t13 @t17))) @t16))) % 0.38/0.79 (assume @p4 (forall (@list @t3 @t2 @t21 @t8 @t1 @t10) (= (_ @t25 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t26) (_ (_ tptp.app_2E2 (_ (_ tptp.s @t28) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t23) @t28)) tptp.combin_s_2E0)) @t24))) @t7))) @t12)) (_ @t25 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t22) (_ (_ tptp.app_2E2 @t24) @t12))) @t14))))) % 0.38/0.79 (assume @p5 (forall @t31 (= (_ (_ tptp.mono_2Ec_2Ebool_2E_2F_5C @t30) @t29) (and @t30 @t29)))) % 0.38/0.79 (assume @p6 (forall @t31 (= (_ (_ tptp.mono_2Ec_2Ebool_2E_5C_2F @t30) @t29) (or @t30 @t29)))) % 0.38/0.79 (assume @p7 (forall @t32 (= (_ tptp.mono_2Ec_2Ebool_2E_7E @t30) (not @t30)))) % 0.38/0.79 (assume @p8 (forall @t31 (= (_ (_ tptp.mono_2Ec_2Emin_2E_3D_3D_3E @t30) @t29) (=> @t30 @t29)))) % 0.38/0.79 (assume @p9 (forall (@list @t3 @t35 @t33) (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.c_2Emin_2E_3D_2E2 @t36) @t34))) (= @t36 @t34)))) % 0.38/0.79 (assume @p10 (forall @t44 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ tptp.c_2Ebool_2E_21_2E1 @t41))) (forall @t43 @t42)))) % 0.38/0.79 (assume @p11 (forall @t44 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ tptp.c_2Ebool_2E_3F_2E1 @t41))) (exists @t43 @t42)))) % 0.38/0.79 (assume @p12 (forall @t46 (= (_ @t37 (_ tptp.i_mono_2Etyop_2Emin_2Ebool (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t45))) @t45))) % 0.38/0.79 (assume @p13 (forall @t46 (= (_ @t49 (_ 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 @t50))) @t50))) % 0.38/0.79 (assume @p14 (forall @t46 (= (_ @t51 (_ 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 @t52))) @t52))) % 0.38/0.79 (assume @p15 (forall @t32 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t30))) @t30))) % 0.38/0.79 (assume @p16 (forall (@list @t53) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t54) @t53))) % 0.38/0.79 (assume @p17 (forall (@list @t55) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t56) @t55))) % 0.38/0.79 (assume @p18 (forall @t61 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ tptp.c_2Ebool_2E_21_2E1 @t58))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.app_2E2 (_ @t60 tptp.c_2Ebool_2E_21_2E0)) @t58)))))) % 0.38/0.79 (assume @p19 (forall (@list @t3 @t57 @t62) (= (= @t64 @t63) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.app_2E2 (_ @t40 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t39)) tptp.c_2Emin_2E_3D_2E0)) @t64))) @t63)))))) % 0.38/0.79 (assume @p20 (forall @t61 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ tptp.c_2Ebool_2E_3F_2E1 @t58))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.app_2E2 (_ @t60 tptp.c_2Ebool_2E_3F_2E0)) @t58)))))) % 0.38/0.79 (assume @p21 (forall @t72 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @t68) @t67))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.app_2E2 (_ @t71 (_ (_ tptp.app_2E2 (_ @t70 tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E0)) @t68))) @t67)))))) % 0.38/0.79 (assume @p22 (forall @t72 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @t68) @t67))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.app_2E2 (_ @t71 (_ (_ tptp.app_2E2 (_ @t70 tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0)) @t68))) @t67)))))) % 0.38/0.79 (assume @p23 (forall @t72 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @t68) @t67))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.app_2E2 (_ @t71 (_ (_ tptp.app_2E2 (_ @t70 tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0)) @t68))) @t67)))))) % 0.38/0.79 (assume @p24 (forall @t72 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2 @t68) @t67))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.app_2E2 (_ @t71 (_ (_ tptp.app_2E2 (_ @t70 tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E0)) @t68))) @t67)))))) % 0.38/0.79 (assume @p25 (forall @t72 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @t68) @t67))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.app_2E2 (_ @t71 (_ (_ tptp.app_2E2 (_ @t70 tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0)) @t68))) @t67)))))) % 0.38/0.79 (assume @p26 (forall @t72 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t68) @t67))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.app_2E2 (_ @t71 (_ (_ tptp.app_2E2 (_ @t70 tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) @t68))) @t67)))))) % 0.38/0.79 (assume @p27 (forall @t72 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t74) @t73))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.app_2E2 (_ @t60 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t19) @t59)) tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) @t74))) @t73)))))) % 0.38/0.79 (assume @p28 (forall @t77 (= (_ @t37 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t76)) (_ @t37 (_ (_ tptp.app_2E2 @t54) @t75))))) % 0.38/0.79 (assume @p29 (forall @t79 (= (_ @t49 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t78)) (_ @t49 (_ (_ tptp.app_2E2 @t56) @t75))))) % 0.38/0.79 (assume @p30 (forall @t77 (= @t76 @t76))) % 0.38/0.79 (assume @p31 (forall @t79 (= @t78 @t78))) % 0.38/0.79 (assume @p32 tptp.mono_2Ec_2Ebool_2ET) % 0.38/0.79 (assume @p33 (forall @t82 (and (= (=> tptp.mono_2Ec_2Ebool_2ET @t80) @t80) (= (=> @t80 tptp.mono_2Ec_2Ebool_2ET) tptp.mono_2Ec_2Ebool_2ET) (= (=> tptp.mono_2Ec_2Ebool_2EF @t80) tptp.mono_2Ec_2Ebool_2ET) (= (=> @t80 @t80) tptp.mono_2Ec_2Ebool_2ET) (= (=> @t80 tptp.mono_2Ec_2Ebool_2EF) @t81)))) % 0.38/0.79 (assume @p34 (and @t83 (= (not tptp.mono_2Ec_2Ebool_2ET) tptp.mono_2Ec_2Ebool_2EF) (= (not tptp.mono_2Ec_2Ebool_2EF) tptp.mono_2Ec_2Ebool_2ET))) % 0.38/0.79 (assume @p35 (forall (@list @t3 @t15 @t17) (= (= @t16 @t84) (= @t84 @t16)))) % 0.38/0.79 (assume @p36 (forall @t82 (and (= (= tptp.mono_2Ec_2Ebool_2ET @t80) @t80) (= (= @t80 tptp.mono_2Ec_2Ebool_2ET) @t80) (= (= tptp.mono_2Ec_2Ebool_2EF @t80) @t81) (= (= @t80 tptp.mono_2Ec_2Ebool_2EF) @t81)))) % 0.38/0.79 (assume @p37 (forall (@list @t87 @t86 @t85) (= (=> @t87 (=> @t86 @t85)) (=> (and @t87 @t86) @t85)))) % 0.38/0.79 (assume @p38 (forall (@list @t91 @t89 @t90 @t88) (=> (and (= @t91 @t89) (=> @t89 (= @t90 @t88))) (= (=> @t91 @t90) (=> @t89 @t88))))) % 0.38/0.79 (assume @p39 @t230) % 0.38/0.79 (assume @p40 @t83) % 0.38/0.79 (assume @p41 (forall @t233 (=> @t231 @t232))) % 0.38/0.79 (assume @p42 (forall @t237 (= (=> (not (or @t236 @t234)) tptp.mono_2Ec_2Ebool_2EF) (=> (=> @t236 tptp.mono_2Ec_2Ebool_2EF) @t235)))) % 0.38/0.79 (assume @p43 (forall @t237 (= (=> (not (or (not @t236) @t234)) tptp.mono_2Ec_2Ebool_2EF) (=> @t236 @t235)))) % 0.38/0.79 (assume @p44 (forall @t233 (=> @t232 (=> (=> @t231 tptp.mono_2Ec_2Ebool_2EF) tptp.mono_2Ec_2Ebool_2EF)))) % 0.38/0.79 (assume @p45 (forall @t244 (= (= @t238 (= @t240 @t242)) (and (or @t238 @t240 @t242) (or @t238 @t243 @t241) (or @t240 @t243 @t239) (or @t242 @t241 @t239))))) % 0.38/0.79 (assume @p46 (forall @t244 (= (= @t238 (or @t240 @t242)) (and (or @t238 @t241) @t245 (or @t240 @t242 @t239))))) % 0.38/0.79 (assume @p47 (forall @t244 (= (= @t238 (=> @t240 @t242)) (and (or @t238 @t240) @t245 (or @t241 @t242 @t239))))) % 0.38/0.79 (assume @p48 (forall @t249 (= (= @t246 @t248) (and (or @t246 @t247) (or @t248 (not @t246)))))) % 0.38/0.79 (assume @p49 (forall @t249 (=> @t250 @t246))) % 0.38/0.79 (assume @p50 (forall @t249 (=> @t250 @t248))) % 0.38/0.79 (assume @p51 @t276) % 0.38/0.79 (assume @p52 true) % 0.38/0.79 (step @p53 :rule quant-unused-vars :args ((= @t285 (forall (@list @t279 @t277 @t94 @t103) @t282)))) % 0.38/0.79 (step @p54 :rule quant-merge-prenex :args ((= @t286 @t285))) % 0.38/0.79 (step @p55 :rule trans :premises (@p54 @p53)) % 0.38/0.79 (step @p56 :rule quant-unused-vars :args ((= @t295 (forall (@list @t289 @t287 @t120 @t129) @t292)))) % 0.38/0.79 (step @p57 :rule quant-merge-prenex :args ((= @t296 @t295))) % 0.38/0.79 (step @p58 :rule trans :premises (@p57 @p56)) % 0.38/0.79 (step @p59 :rule quant-unused-vars :args ((= @t305 @t302))) % 0.38/0.79 (step @p60 :rule quant-merge-prenex :args ((= @t306 @t305))) % 0.38/0.79 (step @p61 :rule trans :premises (@p60 @p59)) % 0.38/0.79 (step @p62 :rule quant-unused-vars :args ((= @t314 (forall (@list @t309 @t307 @t165 @t169) @t311)))) % 0.38/0.79 (step @p63 :rule quant-merge-prenex :args ((= @t315 @t314))) % 0.38/0.79 (step @p64 :rule trans :premises (@p63 @p62)) % 0.38/0.79 (step @p65 :rule eq-symm :args (@t326 @t327)) % 0.38/0.79 (step @p66 :rule cong :premises (@p65) :args ((forall @t328 (= @t326 @t327)))) % 0.38/0.79 (step @p67 :rule refl :args (@t327)) % 0.38/0.79 (step @p68 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t334))) % 0.38/0.79 (step @p69 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t333))) % 0.38/0.79 (step @p70 :rule refl :args ((tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2 @t332 @t330))) % 0.38/0.79 (step @p71 :rule refl :args ((tptp.s @t329 @t316))) % 0.38/0.79 (step @p72 :rule refl :args (@t316)) % 0.38/0.79 (step @p73 :rule refl :args (@t318)) % 0.38/0.79 (step @p74 :rule cong :premises (@p73 @p72) :args (@t319)) % 0.38/0.79 (step @p75 :rule trans :premises (@p74 @p71)) % 0.38/0.79 (step @p76 :rule refl :args ((tptp.s @t331 @t320))) % 0.38/0.79 (step @p77 :rule refl :args (@t320)) % 0.38/0.79 (step @p78 :rule refl :args (@t322)) % 0.38/0.79 (step @p79 :rule cong :premises (@p78 @p77) :args (@t323)) % 0.38/0.79 (step @p80 :rule trans :premises (@p79 @p76)) % 0.38/0.79 (step @p81 :rule cong :premises (@p80 @p75) :args (@t324)) % 0.38/0.79 (step @p82 :rule trans :premises (@p81 @p70)) % 0.38/0.79 (step @p83 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 0.38/0.79 (step @p84 :rule cong :premises (@p83 @p82) :args (@t325)) % 0.38/0.79 (step @p85 :rule trans :premises (@p84 @p69)) % 0.38/0.79 (step @p86 :rule cong :premises (@p85) :args (@t326)) % 0.38/0.79 (step @p87 :rule trans :premises (@p86 @p68)) % 0.38/0.79 (step @p88 :rule refl :args (tptp.j_mono_2Etyop_2Emin_2Ebool)) % 0.38/0.79 (step @p89 :rule ho_cong :premises (@p88 @p85)) % 0.38/0.79 (step @p90 :rule cong :premises (@p89 @p87) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t325) @t326))) % 0.38/0.79 (step @p91 :rule symm :premises (@p90)) % 0.38/0.79 (step @p92 :rule refl :args (@t335)) % 0.38/0.79 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 0.38/0.79 (step @p94 :rule refl :args (@t37)) % 0.38/0.79 (step @p95 :rule ho_cong :premises (@p94 @p82)) % 0.38/0.79 (step @p96 :rule cong :premises (@p95 @p85) :args ((= (_ @t37 @t324) @t325))) % 0.38/0.79 (step @p97 :rule symm :premises (@p96)) % 0.38/0.79 (step @p98 :rule refl :args (@t334)) % 0.38/0.79 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 0.38/0.79 (step @p100 :rule refl :args (tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2)) % 0.38/0.79 (step @p101 :rule ho_cong :premises (@p100 @p80)) % 0.38/0.79 (step @p102 :rule ho_cong :premises (@p101 @p75)) % 0.38/0.79 (step @p103 :rule cong :premises (@p102 @p82) :args ((= (_ (_ tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2 @t323) @t319) @t324))) % 0.38/0.79 (step @p104 :rule symm :premises (@p103)) % 0.38/0.79 (step @p105 :rule refl :args (@t333)) % 0.38/0.79 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.38/0.79 (step @p107 :rule refl :args (tptp.s)) % 0.38/0.79 (step @p108 :rule ho_cong :premises (@p107 @p73)) % 0.38/0.79 (step @p109 :rule ho_cong :premises (@p108 @p72)) % 0.38/0.79 (step @p110 :rule cong :premises (@p109 @p75) :args ((= (_ (_ tptp.s @t318) @t316) @t319))) % 0.38/0.79 (step @p111 :rule symm :premises (@p110)) % 0.38/0.79 (step @p112 :rule refl :args (@t330)) % 0.38/0.79 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 0.38/0.79 (step @p114 :rule refl :args (@t329)) % 0.38/0.79 (step @p115 :rule cong :premises (@p114 @p73) :args ((= @t329 @t318))) % 0.38/0.79 (step @p116 :rule symm :premises (@p115)) % 0.38/0.79 (step @p117 :rule eq_resolve :premises (@p114 @p116)) % 0.38/0.79 (step @p118 :rule ho_cong :premises (@p107 @p117)) % 0.38/0.79 (step @p119 :rule ho_cong :premises (@p118 @p72)) % 0.38/0.79 (step @p120 :rule trans :premises (@p119 @p113)) % 0.38/0.79 (step @p121 :rule ho_cong :premises (@p107 @p78)) % 0.38/0.79 (step @p122 :rule ho_cong :premises (@p121 @p77)) % 0.38/0.79 (step @p123 :rule cong :premises (@p122 @p80) :args ((= (_ (_ tptp.s @t322) @t320) @t323))) % 0.38/0.79 (step @p124 :rule symm :premises (@p123)) % 0.38/0.79 (step @p125 :rule refl :args (@t332)) % 0.38/0.79 (step @p126 :rule eq_resolve :premises (@p125 @p124)) % 0.38/0.79 (step @p127 :rule refl :args (@t331)) % 0.38/0.79 (step @p128 :rule cong :premises (@p127 @p78) :args ((= @t331 @t322))) % 0.38/0.79 (step @p129 :rule symm :premises (@p128)) % 0.38/0.79 (step @p130 :rule eq_resolve :premises (@p127 @p129)) % 0.38/0.79 (step @p131 :rule ho_cong :premises (@p107 @p130)) % 0.38/0.79 (step @p132 :rule ho_cong :premises (@p131 @p77)) % 0.38/0.79 (step @p133 :rule trans :premises (@p132 @p126)) % 0.38/0.79 (step @p134 :rule ho_cong :premises (@p100 @p133)) % 0.38/0.79 (step @p135 :rule ho_cong :premises (@p134 @p120)) % 0.38/0.79 (step @p136 :rule trans :premises (@p135 @p106)) % 0.38/0.79 (step @p137 :rule ho_cong :premises (@p94 @p136)) % 0.38/0.79 (step @p138 :rule trans :premises (@p137 @p99)) % 0.38/0.79 (step @p139 :rule ho_cong :premises (@p88 @p138)) % 0.38/0.79 (step @p140 :rule trans :premises (@p139 @p93)) % 0.38/0.79 (step @p141 :rule cong :premises (@p140 @p67) :args (@t336)) % 0.38/0.79 (step @p142 :rule cong :premises (@p141) :args (@t337)) % 0.38/0.79 (step @p143 :rule trans :premises (@p142 @p66)) % 0.38/0.79 (step @p144 :rule eq-symm :args (@t348 @t349)) % 0.38/0.79 (step @p145 :rule cong :premises (@p144) :args ((forall @t350 (= @t348 @t349)))) % 0.38/0.79 (step @p146 :rule refl :args (@t349)) % 0.38/0.79 (step @p147 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t356))) % 0.38/0.79 (step @p148 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t355))) % 0.38/0.79 (step @p149 :rule refl :args ((tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @t354 @t352))) % 0.38/0.79 (step @p150 :rule refl :args ((tptp.s @t351 @t338))) % 0.38/0.79 (step @p151 :rule refl :args (@t338)) % 0.38/0.79 (step @p152 :rule refl :args (@t340)) % 0.38/0.79 (step @p153 :rule cong :premises (@p152 @p151) :args (@t341)) % 0.38/0.79 (step @p154 :rule trans :premises (@p153 @p150)) % 0.38/0.79 (step @p155 :rule refl :args ((tptp.s @t353 @t342))) % 0.38/0.79 (step @p156 :rule refl :args (@t342)) % 0.38/0.79 (step @p157 :rule refl :args (@t344)) % 0.38/0.79 (step @p158 :rule cong :premises (@p157 @p156) :args (@t345)) % 0.38/0.79 (step @p159 :rule trans :premises (@p158 @p155)) % 0.38/0.79 (step @p160 :rule cong :premises (@p159 @p154) :args (@t346)) % 0.38/0.79 (step @p161 :rule trans :premises (@p160 @p149)) % 0.38/0.79 (step @p162 :rule cong :premises (@p83 @p161) :args (@t347)) % 0.38/0.79 (step @p163 :rule trans :premises (@p162 @p148)) % 0.38/0.79 (step @p164 :rule cong :premises (@p163) :args (@t348)) % 0.38/0.79 (step @p165 :rule trans :premises (@p164 @p147)) % 0.38/0.79 (step @p166 :rule ho_cong :premises (@p88 @p163)) % 0.38/0.79 (step @p167 :rule cong :premises (@p166 @p165) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t347) @t348))) % 0.38/0.79 (step @p168 :rule symm :premises (@p167)) % 0.38/0.79 (step @p169 :rule refl :args (@t357)) % 0.38/0.79 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 0.38/0.79 (step @p171 :rule ho_cong :premises (@p94 @p161)) % 0.38/0.79 (step @p172 :rule cong :premises (@p171 @p163) :args ((= (_ @t37 @t346) @t347))) % 0.38/0.79 (step @p173 :rule symm :premises (@p172)) % 0.38/0.79 (step @p174 :rule refl :args (@t356)) % 0.38/0.79 (step @p175 :rule eq_resolve :premises (@p174 @p173)) % 0.38/0.79 (step @p176 :rule refl :args (tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E2)) % 0.38/0.79 (step @p177 :rule ho_cong :premises (@p176 @p159)) % 0.38/0.79 (step @p178 :rule ho_cong :premises (@p177 @p154)) % 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:premises (@p1296 @p1293)) % 0.38/0.79 (step @p1299 :rule implies_elim :premises (@p1298)) % 0.38/0.79 (step @p1300 :rule chain_m_resolution :premises (@p1299 @p1053) :args (@t543 @t516 @t517)) % 0.38/0.79 (step @p1301 :rule bool-double-not-elim :args (@t526)) % 0.38/0.79 (step @p1302 :rule nary_cong :premises (@p1285 @p1301) :args ((or @t531 (not @t527)))) % 0.38/0.79 (step @p1303 :rule cnf_or_neg :args (@t531 1)) % 0.38/0.79 (step @p1304 :rule eq_resolve :premises (@p1303 @p1302)) % 0.38/0.79 (step @p1305 :rule reordering :premises (@p1304) :args ((or @t526 @t531))) % 0.38/0.79 (step @p1306 :rule chain_m_resolution :premises (@p1305 @p1264) :args (@t526 @t532 @t533)) % 0.38/0.79 (step @p1307 :rule cnf_equiv_pos1 :args (@t543)) % 0.38/0.79 (step @p1308 :rule reordering :premises (@p1307) :args ((or @t527 @t541 (not @t543)))) % 0.38/0.79 (step @p1309 :rule chain_m_resolution :premises (@p1308 @p1306 @p1300) :args (@t541 (@list false false) (@list @t526 @t543))) % 0.38/0.79 (step @p1310 :rule instantiate :premises (@p1309) :args ((@list @t535))) % 0.38/0.79 (step @p1311 :rule cnf_or_pos :args (@t545)) % 0.38/0.79 (step @p1312 :rule reordering :premises (@p1311) :args ((or @t539 @t544 (not @t545)))) % 0.38/0.79 (step @p1313 false :rule chain_m_resolution :premises (@p1312 @p1310 @p1291 @p1283) :args (false (@list true false false) (@list @t544 @t545 @t538))) % 0.38/0.79 ) % 0.38/0.79 % SZS output end Proof % 0.38/0.79 % cvc5 exiting %------------------------------------------------------------------------------