%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP006+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 : n017.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 0.37s 0.70s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : ITP006+1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n017.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 03:38:16 EDT 2026 % 0.19/0.35 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.70 % SZS status Theorem % 0.37/0.70 % SZS output start Proof % 0.37/0.70 ( % 0.37/0.70 (declare-sort $$unsorted 0) % 0.37/0.70 (declare-const tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0 $$unsorted) % 0.37/0.70 (declare-const tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.combin_s_2E0 $$unsorted) % 0.37/0.70 (declare-const tptp.combin_k_2E0 $$unsorted) % 0.37/0.70 (declare-const tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0 $$unsorted) % 0.37/0.70 (declare-const tptp.combin_i_2E0 $$unsorted) % 0.37/0.70 (declare-const tptp.p (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.tyop_2Emin_2Ebool $$unsorted) % 0.37/0.70 (declare-const tptp.c_2Emin_2E_3D_3D_3E_2E0 $$unsorted) % 0.37/0.70 (declare-const tptp.c_2Ebool_2E_7E_2E1 (-> $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.c_2Ebool_2EF_2E0 $$unsorted) % 0.37/0.70 (declare-const tptp.s (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.c_2Ebool_2ET_2E0 $$unsorted) % 0.37/0.70 (declare-const tptp.c_2Ebool_2E_2F_5C_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E0 $$unsorted) % 0.37/0.70 (declare-const tptp.tyop_2Emin_2Efun (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.app_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.c_2Ebool_2E_2F_5C_2E0 $$unsorted) % 0.37/0.70 (declare-const tptp.c_2Ebool_2E_7E_2E0 $$unsorted) % 0.37/0.71 (declare-const tptp.c_2Emin_2E_3D_3D_3E_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.c_2Ebool_2E_5C_2F_2E0 $$unsorted) % 0.37/0.71 (declare-const tptp.c_2Emin_2E_3D_2E0 $$unsorted) % 0.37/0.71 (declare-const tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E0 $$unsorted) % 0.37/0.71 (declare-const tptp.c_2Ebool_2E_5C_2F_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.c_2Ebool_2E_21_2E0 $$unsorted) % 0.37/0.71 (declare-const tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0 $$unsorted) % 0.37/0.71 (declare-const tptp.c_2Ebool_2E_3F_2E0 $$unsorted) % 0.37/0.71 (declare-const tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0 $$unsorted) % 0.37/0.71 (define @t1 () (@var "V1g_2E0" $$unsorted)) % 0.37/0.71 (define @t2 () (@var "A_27b" $$unsorted)) % 0.37/0.71 (define @t3 () (@var "A_27a" $$unsorted)) % 0.37/0.71 (define @t4 () (tptp.tyop_2Emin_2Efun @t3 @t2)) % 0.37/0.71 (define @t5 () (tptp.s @t4 @t1)) % 0.37/0.71 (define @t6 () (@var "V0f_2E0" $$unsorted)) % 0.37/0.71 (define @t7 () (tptp.s @t4 @t6)) % 0.37/0.71 (define @t8 () (@var "V2x_2E0" $$unsorted)) % 0.37/0.71 (define @t9 () (tptp.s @t3 @t8)) % 0.37/0.71 (define @t10 () (tptp.s @t2 (tptp.app_2E2 @t5 @t9))) % 0.37/0.71 (define @t11 () (@var "V1_2E0" $$unsorted)) % 0.37/0.71 (define @t12 () (tptp.s tptp.tyop_2Emin_2Ebool @t11)) % 0.37/0.71 (define @t13 () (@var "V0_2E0" $$unsorted)) % 0.37/0.71 (define @t14 () (tptp.s tptp.tyop_2Emin_2Ebool @t13)) % 0.37/0.71 (define @t15 () (tptp.p @t12)) % 0.37/0.71 (define @t16 () (tptp.p @t14)) % 0.37/0.71 (define @t17 () (@list @t13 @t11)) % 0.37/0.71 (define @t18 () (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)) % 0.37/0.71 (define @t19 () (tptp.p @t18)) % 0.37/0.71 (define @t20 () (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)) % 0.37/0.71 (define @t21 () (tptp.p @t20)) % 0.37/0.71 (define @t22 () (not @t21)) % 0.37/0.71 (define @t23 () (@var "V0t_2E0" $$unsorted)) % 0.37/0.71 (define @t24 () (tptp.s tptp.tyop_2Emin_2Ebool @t23)) % 0.37/0.71 (define @t25 () (= @t24 @t20)) % 0.37/0.71 (define @t26 () (= @t24 @t18)) % 0.37/0.71 (define @t27 () (@list @t23)) % 0.37/0.71 (define @t28 () (@var "V0x_2E0" $$unsorted)) % 0.37/0.71 (define @t29 () (tptp.s @t3 @t28)) % 0.37/0.71 (define @t30 () (@var "V1y_2E0" $$unsorted)) % 0.37/0.71 (define @t31 () (tptp.tyop_2Emin_2Efun @t2 @t3)) % 0.37/0.71 (define @t32 () (@var "A_27c" $$unsorted)) % 0.37/0.71 (define @t33 () (tptp.tyop_2Emin_2Efun @t2 @t32)) % 0.37/0.71 (define @t34 () (tptp.tyop_2Emin_2Efun @t3 @t33)) % 0.37/0.71 (define @t35 () (tptp.s @t34 @t6)) % 0.37/0.71 (define @t36 () (tptp.tyop_2Emin_2Efun @t3 @t32)) % 0.37/0.71 (define @t37 () (tptp.tyop_2Emin_2Efun @t4 @t36)) % 0.37/0.71 (define @t38 () (tptp.s @t3 @t11)) % 0.37/0.71 (define @t39 () (tptp.s @t3 @t13)) % 0.37/0.71 (define @t40 () (@var "V1x_2E0" $$unsorted)) % 0.37/0.71 (define @t41 () (tptp.tyop_2Emin_2Efun @t3 tptp.tyop_2Emin_2Ebool)) % 0.37/0.71 (define @t42 () (tptp.s @t41 @t6)) % 0.37/0.71 (define @t43 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t42 (tptp.s @t3 @t40))))) % 0.37/0.71 (define @t44 () (@list @t40)) % 0.37/0.71 (define @t45 () (@list @t3 @t6)) % 0.37/0.71 (define @t46 () (@var "X1_2E0" $$unsorted)) % 0.37/0.71 (define @t47 () (tptp.s tptp.tyop_2Emin_2Ebool @t46)) % 0.37/0.71 (define @t48 () (@var "X0_2E0" $$unsorted)) % 0.37/0.71 (define @t49 () (tptp.s tptp.tyop_2Emin_2Ebool @t48)) % 0.37/0.71 (define @t50 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) % 0.37/0.71 (define @t51 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t50)) % 0.37/0.71 (define @t52 () (tptp.p @t47)) % 0.37/0.71 (define @t53 () (tptp.p @t49)) % 0.37/0.71 (define @t54 () (@list @t48 @t46)) % 0.37/0.71 (define @t55 () (tptp.s @t3 @t46)) % 0.37/0.71 (define @t56 () (tptp.s @t3 @t48)) % 0.37/0.71 (define @t57 () (tptp.s @t41 @t48)) % 0.37/0.71 (define @t58 () (tptp.tyop_2Emin_2Efun @t41 tptp.tyop_2Emin_2Ebool)) % 0.37/0.71 (define @t59 () (@list @t3 @t48)) % 0.37/0.71 (define @t60 () (tptp.tyop_2Emin_2Efun @t2 tptp.tyop_2Emin_2Ebool)) % 0.37/0.71 (define @t61 () (tptp.s @t60 @t46)) % 0.37/0.71 (define @t62 () (tptp.s @t4 @t48)) % 0.37/0.71 (define @t63 () (tptp.tyop_2Emin_2Efun @t60 tptp.tyop_2Emin_2Ebool)) % 0.37/0.71 (define @t64 () (tptp.tyop_2Emin_2Efun @t4 @t63)) % 0.37/0.71 (define @t65 () (@list @t3 @t2 @t48 @t46)) % 0.37/0.71 (define @t66 () (tptp.s @t41 @t46)) % 0.37/0.71 (define @t67 () (tptp.s @t31 @t48)) % 0.37/0.71 (define @t68 () (tptp.p @t24)) % 0.37/0.71 (define @t69 () (not @t68)) % 0.37/0.71 (define @t70 () (forall @t27 (= (not @t69) @t68))) % 0.37/0.71 (define @t71 () (tptp.s @t3 @t30)) % 0.37/0.71 (define @t72 () (@var "V2t3_2E0" $$unsorted)) % 0.37/0.71 (define @t73 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t72))) % 0.37/0.71 (define @t74 () (@var "V1t2_2E0" $$unsorted)) % 0.37/0.71 (define @t75 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t74))) % 0.37/0.71 (define @t76 () (@var "V0t1_2E0" $$unsorted)) % 0.37/0.71 (define @t77 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t76))) % 0.37/0.71 (define @t78 () (@var "V3y_27_2E0" $$unsorted)) % 0.37/0.71 (define @t79 () (tptp.s tptp.tyop_2Emin_2Ebool @t78)) % 0.37/0.71 (define @t80 () (@var "V1x_27_2E0" $$unsorted)) % 0.37/0.71 (define @t81 () (tptp.s tptp.tyop_2Emin_2Ebool @t80)) % 0.37/0.71 (define @t82 () (tptp.p @t81)) % 0.37/0.71 (define @t83 () (@var "V2y_2E0" $$unsorted)) % 0.37/0.71 (define @t84 () (tptp.s tptp.tyop_2Emin_2Ebool @t83)) % 0.37/0.71 (define @t85 () (tptp.s tptp.tyop_2Emin_2Ebool @t28)) % 0.37/0.71 (define @t86 () (@var "V19fv_2E0" $$unsorted)) % 0.37/0.71 (define @t87 () (@var "V16i_2E0" $$unsorted)) % 0.37/0.71 (define @t88 () (tptp.s @t4 @t87)) % 0.37/0.71 (define @t89 () (@var "V18v_2E0" $$unsorted)) % 0.37/0.71 (define @t90 () (tptp.s @t2 @t89)) % 0.37/0.71 (define @t91 () (= @t90 (tptp.s @t2 (tptp.app_2E2 @t88 (tptp.s @t3 @t86))))) % 0.37/0.71 (define @t92 () (@list @t86)) % 0.37/0.71 (define @t93 () (exists @t92 @t91)) % 0.37/0.71 (define @t94 () (@var "V17P_2E0" $$unsorted)) % 0.37/0.71 (define @t95 () (tptp.s @t60 @t94)) % 0.37/0.71 (define @t96 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t95 @t90)))) % 0.37/0.71 (define @t97 () (not @t96)) % 0.37/0.71 (define @t98 () (=> @t97 @t93)) % 0.37/0.71 (define @t99 () (@list @t89)) % 0.37/0.71 (define @t100 () (forall @t99 @t98)) % 0.37/0.71 (define @t101 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @t88 @t95)))) % 0.37/0.71 (define @t102 () (= @t101 @t100)) % 0.37/0.71 (define @t103 () (@list @t87 @t94)) % 0.37/0.71 (define @t104 () (forall @t103 @t102)) % 0.37/0.71 (define @t105 () (@var "V15fv_2E0" $$unsorted)) % 0.37/0.71 (define @t106 () (@var "V12i_2E0" $$unsorted)) % 0.37/0.71 (define @t107 () (tptp.s @t4 @t106)) % 0.37/0.71 (define @t108 () (@var "V14v_2E0" $$unsorted)) % 0.37/0.71 (define @t109 () (tptp.s @t2 @t108)) % 0.37/0.71 (define @t110 () (= @t109 (tptp.s @t2 (tptp.app_2E2 @t107 (tptp.s @t3 @t105))))) % 0.37/0.71 (define @t111 () (@list @t105)) % 0.37/0.71 (define @t112 () (exists @t111 @t110)) % 0.37/0.71 (define @t113 () (@var "V13P_2E0" $$unsorted)) % 0.37/0.71 (define @t114 () (tptp.s @t60 @t113)) % 0.37/0.71 (define @t115 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t114 @t109)))) % 0.37/0.71 (define @t116 () (=> @t115 @t112)) % 0.37/0.71 (define @t117 () (@list @t108)) % 0.37/0.71 (define @t118 () (forall @t117 @t116)) % 0.37/0.71 (define @t119 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @t107 @t114)))) % 0.37/0.71 (define @t120 () (= @t119 @t118)) % 0.37/0.71 (define @t121 () (@list @t106 @t113)) % 0.37/0.71 (define @t122 () (forall @t121 @t120)) % 0.37/0.71 (define @t123 () (@var "V11fv_2E0" $$unsorted)) % 0.37/0.71 (define @t124 () (@var "V9i_2E0" $$unsorted)) % 0.37/0.71 (define @t125 () (tptp.s @t4 @t124)) % 0.37/0.71 (define @t126 () (@var "V10P_2E0" $$unsorted)) % 0.37/0.71 (define @t127 () (tptp.s @t60 @t126)) % 0.37/0.71 (define @t128 () (@list @t123)) % 0.37/0.71 (define @t129 () (@list @t124 @t126)) % 0.37/0.71 (define @t130 () (forall @t129 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t125 @t127))) (forall @t128 (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t127 (tptp.s @t2 (tptp.app_2E2 @t125 (tptp.s @t3 @t123))))))))))) % 0.37/0.71 (define @t131 () (@var "V8fv_2E0" $$unsorted)) % 0.37/0.71 (define @t132 () (@var "V6i_2E0" $$unsorted)) % 0.37/0.71 (define @t133 () (tptp.s @t4 @t132)) % 0.37/0.71 (define @t134 () (@var "V7P_2E0" $$unsorted)) % 0.37/0.71 (define @t135 () (tptp.s @t60 @t134)) % 0.37/0.71 (define @t136 () (@list @t131)) % 0.37/0.71 (define @t137 () (@list @t132 @t134)) % 0.37/0.71 (define @t138 () (forall @t137 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @t133 @t135))) (forall @t136 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t135 (tptp.s @t2 (tptp.app_2E2 @t133 (tptp.s @t3 @t131)))))))))) % 0.37/0.71 (define @t139 () (@var "V5fv_2E0" $$unsorted)) % 0.37/0.71 (define @t140 () (@var "V0i_2E0" $$unsorted)) % 0.37/0.71 (define @t141 () (tptp.s @t4 @t140)) % 0.37/0.71 (define @t142 () (@var "V1P_2E0" $$unsorted)) % 0.37/0.71 (define @t143 () (tptp.s @t60 @t142)) % 0.37/0.71 (define @t144 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t143 (tptp.s @t2 (tptp.app_2E2 @t141 (tptp.s @t3 @t139))))))) % 0.37/0.71 (define @t145 () (not @t144)) % 0.37/0.71 (define @t146 () (@list @t139)) % 0.37/0.71 (define @t147 () (exists @t146 @t145)) % 0.37/0.71 (define @t148 () (@var "V4v_2E0" $$unsorted)) % 0.37/0.71 (define @t149 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t143 (tptp.s @t2 @t148))))) % 0.37/0.71 (define @t150 () (not @t149)) % 0.37/0.71 (define @t151 () (=> @t150 @t147)) % 0.37/0.71 (define @t152 () (@list @t148)) % 0.37/0.71 (define @t153 () (forall @t152 @t151)) % 0.37/0.71 (define @t154 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2 @t141 @t143)))) % 0.37/0.71 (define @t155 () (= @t154 @t153)) % 0.37/0.71 (define @t156 () (@var "V3fv_2E0" $$unsorted)) % 0.37/0.71 (define @t157 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t143 (tptp.s @t2 (tptp.app_2E2 @t141 (tptp.s @t3 @t156))))))) % 0.37/0.71 (define @t158 () (@list @t156)) % 0.37/0.71 (define @t159 () (exists @t158 @t157)) % 0.37/0.71 (define @t160 () (@var "V2v_2E0" $$unsorted)) % 0.37/0.71 (define @t161 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t143 (tptp.s @t2 @t160))))) % 0.37/0.71 (define @t162 () (=> @t161 @t159)) % 0.37/0.71 (define @t163 () (@list @t160)) % 0.37/0.71 (define @t164 () (forall @t163 @t162)) % 0.37/0.71 (define @t165 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @t141 @t143)))) % 0.37/0.71 (define @t166 () (= @t165 @t164)) % 0.37/0.71 (define @t167 () (and @t166 @t155 @t138 @t130 @t122 @t104)) % 0.37/0.71 (define @t168 () (@list @t3 @t2 @t140 @t142)) % 0.37/0.71 (define @t169 () (forall @t168 @t167)) % 0.37/0.71 (define @t170 () (@var "V0A_2E0" $$unsorted)) % 0.37/0.71 (define @t171 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t170))) % 0.37/0.71 (define @t172 () (=> (not @t171) @t21)) % 0.37/0.71 (define @t173 () (@list @t170)) % 0.37/0.71 (define @t174 () (@var "V0B_2E0" $$unsorted)) % 0.37/0.71 (define @t175 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t174))) % 0.37/0.71 (define @t176 () (=> (not @t175) @t21)) % 0.37/0.71 (define @t177 () (@var "V1A_2E0" $$unsorted)) % 0.37/0.71 (define @t178 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t177))) % 0.37/0.71 (define @t179 () (@list @t174 @t177)) % 0.37/0.71 (define @t180 () (@var "V2p_2E0" $$unsorted)) % 0.37/0.71 (define @t181 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t180))) % 0.37/0.71 (define @t182 () (not @t181)) % 0.37/0.71 (define @t183 () (@var "V1q_2E0" $$unsorted)) % 0.37/0.71 (define @t184 () (tptp.s tptp.tyop_2Emin_2Ebool @t183)) % 0.37/0.71 (define @t185 () (tptp.p @t184)) % 0.37/0.71 (define @t186 () (not @t185)) % 0.37/0.71 (define @t187 () (@var "V0r_2E0" $$unsorted)) % 0.37/0.71 (define @t188 () (tptp.s tptp.tyop_2Emin_2Ebool @t187)) % 0.37/0.71 (define @t189 () (tptp.p @t188)) % 0.37/0.71 (define @t190 () (not @t189)) % 0.37/0.71 (define @t191 () (@list @t187 @t183 @t180)) % 0.37/0.71 (define @t192 () (or @t181 @t190)) % 0.37/0.71 (define @t193 () (@var "V1p_2E0" $$unsorted)) % 0.37/0.71 (define @t194 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t193))) % 0.37/0.71 (define @t195 () (@var "V0q_2E0" $$unsorted)) % 0.37/0.71 (define @t196 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t195))) % 0.37/0.71 (define @t197 () (not @t196)) % 0.37/0.71 (define @t198 () (@list @t195 @t193)) % 0.37/0.71 (define @t199 () (not (=> @t194 @t196))) % 0.37/0.71 (define @t200 () (@var "V2Q_2E0" $$unsorted)) % 0.37/0.71 (define @t201 () (tptp.s @t41 @t200)) % 0.37/0.71 (define @t202 () (tptp.s @t31 @t140)) % 0.37/0.71 (define @t203 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t202 @t201)))) % 0.37/0.71 (define @t204 () (tptp.s @t41 @t142)) % 0.37/0.71 (define @t205 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t202 @t204)))) % 0.37/0.71 (define @t206 () (=> @t205 @t203)) % 0.37/0.71 (define @t207 () (@var "V3x_2E0" $$unsorted)) % 0.37/0.71 (define @t208 () (tptp.s @t3 @t207)) % 0.37/0.71 (define @t209 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t204 @t208)))) % 0.37/0.71 (define @t210 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t201 @t208)))) % 0.37/0.71 (define @t211 () (@list @t207)) % 0.37/0.71 (define @t212 () (forall @t211 (=> @t210 @t209))) % 0.37/0.71 (define @t213 () (=> @t212 @t206)) % 0.37/0.71 (define @t214 () (@list @t3 @t2 @t140 @t142 @t200)) % 0.37/0.71 (define @t215 () (forall @t214 @t213)) % 0.37/0.71 (define @t216 () (not @t215)) % 0.37/0.71 (define @t217 () (@var "BOUND_VARIABLE_8437" $$unsorted)) % 0.37/0.71 (define @t218 () (@var "BOUND_VARIABLE_8439" $$unsorted)) % 0.37/0.71 (define @t219 () (tptp.s (tptp.tyop_2Emin_2Efun @t217 @t218) @t87)) % 0.37/0.71 (define @t220 () (tptp.s @t218 @t89)) % 0.37/0.71 (define @t221 () (tptp.s (tptp.tyop_2Emin_2Efun @t218 tptp.tyop_2Emin_2Ebool) @t94)) % 0.37/0.71 (define @t222 () (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @t219 @t221))) (forall @t99 (or (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t221 @t220))) (not (forall @t92 (not (= @t220 (tptp.s @t218 (tptp.app_2E2 @t219 (tptp.s @t217 @t86))))))))))) % 0.37/0.71 (define @t223 () (@var "BOUND_VARIABLE_8443" $$unsorted)) % 0.37/0.71 (define @t224 () (@var "BOUND_VARIABLE_8441" $$unsorted)) % 0.37/0.71 (define @t225 () (forall (@list @t217 @t218 @t224 @t223 @t87 @t94) @t222)) % 0.37/0.71 (define @t226 () (forall (@list @t217 @t218 @t224 @t223) (forall @t103 @t222))) % 0.37/0.71 (define @t227 () (@var "BOUND_VARIABLE_8403" $$unsorted)) % 0.37/0.71 (define @t228 () (@var "BOUND_VARIABLE_8405" $$unsorted)) % 0.37/0.71 (define @t229 () (tptp.s (tptp.tyop_2Emin_2Efun @t227 @t228) @t106)) % 0.37/0.71 (define @t230 () (tptp.s @t228 @t108)) % 0.37/0.71 (define @t231 () (tptp.s (tptp.tyop_2Emin_2Efun @t228 tptp.tyop_2Emin_2Ebool) @t113)) % 0.37/0.71 (define @t232 () (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @t229 @t231))) (forall @t117 (or (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t231 @t230)))) (not (forall @t111 (not (= @t230 (tptp.s @t228 (tptp.app_2E2 @t229 (tptp.s @t227 @t105))))))))))) % 0.37/0.71 (define @t233 () (@var "BOUND_VARIABLE_8409" $$unsorted)) % 0.37/0.71 (define @t234 () (@var "BOUND_VARIABLE_8407" $$unsorted)) % 0.37/0.71 (define @t235 () (forall (@list @t227 @t228 @t234 @t233 @t106 @t113) @t232)) % 0.37/0.71 (define @t236 () (forall (@list @t227 @t228 @t234 @t233) (forall @t121 @t232))) % 0.37/0.71 (define @t237 () (@var "BOUND_VARIABLE_8375" $$unsorted)) % 0.37/0.71 (define @t238 () (@var "BOUND_VARIABLE_8377" $$unsorted)) % 0.37/0.71 (define @t239 () (tptp.s (tptp.tyop_2Emin_2Efun @t237 @t238) @t124)) % 0.37/0.71 (define @t240 () (tptp.s (tptp.tyop_2Emin_2Efun @t238 tptp.tyop_2Emin_2Ebool) @t126)) % 0.37/0.71 (define @t241 () (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t239 @t240))) (forall @t128 (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t240 (tptp.s @t238 (tptp.app_2E2 @t239 (tptp.s @t237 @t123)))))))))) % 0.37/0.71 (define @t242 () (@var "BOUND_VARIABLE_8381" $$unsorted)) % 0.37/0.71 (define @t243 () (@var "BOUND_VARIABLE_8379" $$unsorted)) % 0.37/0.71 (define @t244 () (forall (@list @t237 @t238 @t243 @t242 @t124 @t126) @t241)) % 0.37/0.71 (define @t245 () (forall (@list @t237 @t238 @t243 @t242) (forall @t129 @t241))) % 0.37/0.71 (define @t246 () (@var "BOUND_VARIABLE_8349" $$unsorted)) % 0.37/0.71 (define @t247 () (@var "BOUND_VARIABLE_8351" $$unsorted)) % 0.37/0.71 (define @t248 () (tptp.s (tptp.tyop_2Emin_2Efun @t246 @t247) @t132)) % 0.37/0.71 (define @t249 () (tptp.s (tptp.tyop_2Emin_2Efun @t247 tptp.tyop_2Emin_2Ebool) @t134)) % 0.37/0.71 (define @t250 () (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @t248 @t249))) (forall @t136 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t249 (tptp.s @t247 (tptp.app_2E2 @t248 (tptp.s @t246 @t131))))))))) % 0.37/0.71 (define @t251 () (@var "BOUND_VARIABLE_8355" $$unsorted)) % 0.37/0.71 (define @t252 () (@var "BOUND_VARIABLE_8353" $$unsorted)) % 0.37/0.71 (define @t253 () (forall (@list @t246 @t247 @t252 @t251 @t132 @t134) @t250)) % 0.37/0.71 (define @t254 () (forall (@list @t246 @t247 @t252 @t251) (forall @t137 @t250))) % 0.37/0.71 (define @t255 () (@var "BOUND_VARIABLE_8319" $$unsorted)) % 0.37/0.71 (define @t256 () (@var "BOUND_VARIABLE_8323" $$unsorted)) % 0.37/0.71 (define @t257 () (tptp.s (tptp.tyop_2Emin_2Efun @t255 tptp.tyop_2Emin_2Ebool) @t256)) % 0.37/0.71 (define @t258 () (@var "BOUND_VARIABLE_8317" $$unsorted)) % 0.37/0.71 (define @t259 () (@var "BOUND_VARIABLE_8321" $$unsorted)) % 0.37/0.71 (define @t260 () (tptp.s (tptp.tyop_2Emin_2Efun @t258 @t255) @t259)) % 0.37/0.71 (define @t261 () (forall (@list @t258 @t255 @t259 @t256) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2 @t260 @t257))) (or (not (forall @t146 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t257 (tptp.s @t255 (tptp.app_2E2 @t260 (tptp.s @t258 @t139)))))))) (forall @t152 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t257 (tptp.s @t255 @t148))))))))) % 0.37/0.71 (define @t262 () (@var "BOUND_VARIABLE_8285" $$unsorted)) % 0.37/0.71 (define @t263 () (@var "BOUND_VARIABLE_8289" $$unsorted)) % 0.37/0.71 (define @t264 () (tptp.s (tptp.tyop_2Emin_2Efun @t262 tptp.tyop_2Emin_2Ebool) @t263)) % 0.37/0.71 (define @t265 () (@var "BOUND_VARIABLE_8283" $$unsorted)) % 0.37/0.71 (define @t266 () (@var "BOUND_VARIABLE_8287" $$unsorted)) % 0.37/0.71 (define @t267 () (tptp.s (tptp.tyop_2Emin_2Efun @t265 @t262) @t266)) % 0.37/0.71 (define @t268 () (forall (@list @t265 @t262 @t266 @t263) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @t267 @t264))) (or (not (forall @t158 (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t264 (tptp.s @t262 (tptp.app_2E2 @t267 (tptp.s @t265 @t156))))))))) (forall @t163 (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t264 (tptp.s @t262 @t160)))))))))) % 0.37/0.71 (define @t269 () (not (forall @t92 (not @t91)))) % 0.37/0.71 (define @t270 () (forall @t103 (= @t101 (forall @t99 (or @t96 @t269))))) % 0.37/0.71 (define @t271 () (forall @t168 @t270)) % 0.37/0.71 (define @t272 () (@list @t3 @t2 @t140 @t142)) % 0.37/0.71 (define @t273 () (not (forall @t111 (not @t110)))) % 0.37/0.71 (define @t274 () (forall @t121 (= @t119 (forall @t117 (or (not @t115) @t273))))) % 0.37/0.71 (define @t275 () (forall @t168 @t274)) % 0.37/0.71 (define @t276 () (forall @t168 @t130)) % 0.37/0.71 (define @t277 () (forall @t168 @t138)) % 0.37/0.71 (define @t278 () (not (forall @t146 @t144))) % 0.37/0.71 (define @t279 () (or @t278 (forall @t152 @t149))) % 0.37/0.71 (define @t280 () (= @t154 @t279)) % 0.37/0.71 (define @t281 () (forall @t168 @t280)) % 0.37/0.71 (define @t282 () (not @t161)) % 0.37/0.71 (define @t283 () (not (forall @t158 (not @t157)))) % 0.37/0.71 (define @t284 () (or @t283 (forall @t163 @t282))) % 0.37/0.71 (define @t285 () (= @t165 @t284)) % 0.37/0.71 (define @t286 () (forall @t168 @t285)) % 0.37/0.71 (define @t287 () (and @t286 @t281 @t277 @t276 @t275 @t271)) % 0.37/0.71 (define @t288 () (or @t278 @t149)) % 0.37/0.71 (define @t289 () (or @t149 @t278)) % 0.37/0.71 (define @t290 () (forall @t146 (not @t145))) % 0.37/0.71 (define @t291 () (not @t290)) % 0.37/0.71 (define @t292 () (or @t283 @t282)) % 0.37/0.71 (define @t293 () (or @t282 @t283)) % 0.37/0.71 (define @t294 () (not @t205)) % 0.37/0.71 (define @t295 () (forall @t211 (or (not @t210) @t209))) % 0.37/0.71 (define @t296 () (not @t295)) % 0.37/0.71 (define @t297 () (or @t296 @t294 @t203)) % 0.37/0.71 (define @t298 () (forall @t214 @t297)) % 0.37/0.71 (define @t299 () (@quantifiers_skolemize @t298 4)) % 0.37/0.71 (define @t300 () (@quantifiers_skolemize @t298 2)) % 0.37/0.71 (define @t301 () (@quantifiers_skolemize @t298 0)) % 0.37/0.71 (define @t302 () (@quantifiers_skolemize @t298 1)) % 0.37/0.71 (define @t303 () (tptp.tyop_2Emin_2Efun @t301 tptp.tyop_2Emin_2Ebool)) % 0.37/0.71 (define @t304 () (tptp.s @t303 @t299)) % 0.37/0.71 (define @t305 () (tptp.s (tptp.tyop_2Emin_2Efun @t302 @t301) @t300)) % 0.37/0.71 (define @t306 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t305 @t304)))) % 0.37/0.71 (define @t307 () (@quantifiers_skolemize @t298 3)) % 0.37/0.71 (define @t308 () (tptp.s @t303 @t307)) % 0.37/0.71 (define @t309 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t305 @t308)))) % 0.37/0.71 (define @t310 () (not @t309)) % 0.37/0.71 (define @t311 () (tptp.s @t301 @t207)) % 0.37/0.71 (define @t312 () (forall @t211 (or (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t304 @t311)))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t308 @t311)))))) % 0.37/0.71 (define @t313 () (not @t312)) % 0.37/0.71 (define @t314 () (or @t313 @t310 @t306)) % 0.37/0.71 (define @t315 () (@list true)) % 0.37/0.71 (define @t316 () (@list @t314)) % 0.37/0.71 (define @t317 () (tptp.s @t301 (tptp.app_2E2 @t305 (tptp.s @t302 @t123)))) % 0.37/0.71 (define @t318 () (forall @t128 (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t304 @t317)))))) % 0.37/0.71 (define @t319 () (= @t306 @t318)) % 0.37/0.71 (define @t320 () (not @t318)) % 0.37/0.71 (define @t321 () (@quantifiers_skolemize @t318 0)) % 0.37/0.71 (define @t322 () (tptp.app_2E2 @t305 (tptp.s @t302 @t321))) % 0.37/0.71 (define @t323 () (tptp.s @t301 @t322)) % 0.37/0.71 (define @t324 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t304 @t323)))) % 0.37/0.71 (define @t325 () (not @t324)) % 0.37/0.71 (define @t326 () (not @t325)) % 0.37/0.71 (define @t327 () (forall @t128 (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t308 @t317)))))) % 0.37/0.71 (define @t328 () (= @t309 @t327)) % 0.37/0.71 (define @t329 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t308 @t323)))) % 0.37/0.71 (define @t330 () (or @t325 @t329)) % 0.37/0.71 (assume @p1 (forall (@list @t3 @t2 @t6 @t1) (=> (forall (@list @t8) (= (tptp.s @t2 (tptp.app_2E2 @t7 @t9)) @t10)) (= @t7 @t5)))) % 0.37/0.71 (assume @p2 (forall @t17 (=> (= @t16 @t15) (= @t14 @t12)))) % 0.37/0.71 (assume @p3 @t19) % 0.37/0.71 (assume @p4 @t22) % 0.37/0.71 (assume @p5 (forall @t27 (or @t26 @t25))) % 0.37/0.71 (assume @p6 (forall (@list @t3 @t28) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t3) tptp.combin_i_2E0) @t29)) @t29))) % 0.37/0.71 (assume @p7 (forall (@list @t3 @t2 @t28 @t30) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t31 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t31) tptp.combin_k_2E0) @t29)) (tptp.s @t2 @t30))) @t29))) % 0.37/0.71 (assume @p8 (forall (@list @t3 @t2 @t32 @t6 @t1 @t8) (= (tptp.s @t32 (tptp.app_2E2 (tptp.s @t36 (tptp.app_2E2 (tptp.s @t37 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t34 @t37) tptp.combin_s_2E0) @t35)) @t5)) @t9)) (tptp.s @t32 (tptp.app_2E2 (tptp.s @t33 (tptp.app_2E2 @t35 @t9)) @t10))))) % 0.37/0.71 (assume @p9 (forall @t17 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_2F_5C_2E2 @t14 @t12))) (and @t16 @t15)))) % 0.37/0.71 (assume @p10 (forall @t17 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_5C_2F_2E2 @t14 @t12))) (or @t16 @t15)))) % 0.37/0.71 (assume @p11 (forall (@list @t13) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_7E_2E1 @t14))) (not @t16)))) % 0.37/0.71 (assume @p12 (forall @t17 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_3D_3E_2E2 @t14 @t12))) (=> @t16 @t15)))) % 0.37/0.71 (assume @p13 (forall (@list @t3 @t13 @t11) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 @t39 @t38))) (= @t39 @t38)))) % 0.37/0.71 (assume @p14 (forall @t45 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t42))) (forall @t44 @t43)))) % 0.37/0.71 (assume @p15 (forall @t45 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t42))) (exists @t44 @t43)))) % 0.37/0.71 (assume @p16 (forall @t54 (= (and @t53 @t52) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t50 (tptp.app_2E2 (tptp.s @t51 tptp.c_2Ebool_2E_2F_5C_2E0) @t49)) @t47)))))) % 0.37/0.71 (assume @p17 (forall @t54 (= (or @t53 @t52) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t50 (tptp.app_2E2 (tptp.s @t51 tptp.c_2Ebool_2E_5C_2F_2E0) @t49)) @t47)))))) % 0.37/0.71 (assume @p18 (forall (@list @t48) (= (not @t53) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t50 tptp.c_2Ebool_2E_7E_2E0) @t49)))))) % 0.37/0.71 (assume @p19 (forall @t54 (= (=> @t53 @t52) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t50 (tptp.app_2E2 (tptp.s @t51 tptp.c_2Emin_2E_3D_3D_3E_2E0) @t49)) @t47)))))) % 0.37/0.71 (assume @p20 (forall (@list @t3 @t48 @t46) (= (= @t56 @t55) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t41 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t41) tptp.c_2Emin_2E_3D_2E0) @t56)) @t55)))))) % 0.37/0.71 (assume @p21 (forall @t59 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t57)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t58 tptp.c_2Ebool_2E_21_2E0) @t57))))) % 0.37/0.71 (assume @p22 (forall @t59 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t57)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t58 tptp.c_2Ebool_2E_3F_2E0) @t57))))) % 0.37/0.71 (assume @p23 (forall @t65 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @t62 @t61)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t63 (tptp.app_2E2 (tptp.s @t64 tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E0) @t62)) @t61))))) % 0.37/0.71 (assume @p24 (forall @t65 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @t62 @t61)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t63 (tptp.app_2E2 (tptp.s @t64 tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0) @t62)) @t61))))) % 0.37/0.71 (assume @p25 (forall @t65 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @t62 @t61)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t63 (tptp.app_2E2 (tptp.s @t64 tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0) @t62)) @t61))))) % 0.37/0.71 (assume @p26 (forall @t65 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2 @t62 @t61)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t63 (tptp.app_2E2 (tptp.s @t64 tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E0) @t62)) @t61))))) % 0.37/0.71 (assume @p27 (forall @t65 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @t62 @t61)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t63 (tptp.app_2E2 (tptp.s @t64 tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0) @t62)) @t61))))) % 0.37/0.71 (assume @p28 (forall @t65 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t62 @t61)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t63 (tptp.app_2E2 (tptp.s @t64 tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0) @t62)) @t61))))) % 0.37/0.71 (assume @p29 (forall @t65 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t67 @t66)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t58 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t31 @t58) tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0) @t67)) @t66))))) % 0.37/0.71 (assume @p30 (forall @t27 (and (= (=> @t19 @t68) @t68) (= (=> @t68 @t19) @t19) (= (=> @t21 @t68) @t19) (= (=> @t68 @t68) @t19) (= (=> @t68 @t21) @t69)))) % 0.37/0.71 (assume @p31 (and @t70 (= (not @t19) @t21) (= @t22 @t19))) % 0.37/0.71 (assume @p32 (forall (@list @t3 @t28 @t30) (= (= @t29 @t71) (= @t71 @t29)))) % 0.37/0.71 (assume @p33 (forall @t27 (and (= (= @t18 @t24) @t68) (= @t26 @t68) (= (= @t20 @t24) @t69) (= @t25 @t69)))) % 0.37/0.71 (assume @p34 (forall (@list @t76 @t74 @t72) (= (=> @t77 (=> @t75 @t73)) (=> (and @t77 @t75) @t73)))) % 0.37/0.71 (assume @p35 (forall (@list @t28 @t80 @t83 @t78) (=> (and (= @t85 @t81) (=> @t82 (= @t84 @t79))) (= (=> (tptp.p @t85) (tptp.p @t84)) (=> @t82 (tptp.p @t79)))))) % 0.37/0.71 (assume @p36 @t169) % 0.37/0.71 (assume @p37 @t70) % 0.37/0.71 (assume @p38 (forall @t173 (=> @t171 @t172))) % 0.37/0.71 (assume @p39 (forall @t179 (= (=> (not (or @t178 @t175)) @t21) (=> (=> @t178 @t21) @t176)))) % 0.37/0.71 (assume @p40 (forall @t179 (= (=> (not (or (not @t178) @t175)) @t21) (=> @t178 @t176)))) % 0.37/0.71 (assume @p41 (forall @t173 (=> @t172 (=> (=> @t171 @t21) @t21)))) % 0.37/0.71 (assume @p42 (forall @t191 (= (= @t181 (= @t184 @t188)) (and (or @t181 @t185 @t189) (or @t181 @t190 @t186) (or @t185 @t190 @t182) (or @t189 @t186 @t182))))) % 0.37/0.71 (assume @p43 (forall @t191 (= (= @t181 (or @t185 @t189)) (and (or @t181 @t186) @t192 (or @t185 @t189 @t182))))) % 0.37/0.71 (assume @p44 (forall @t191 (= (= @t181 (=> @t185 @t189)) (and (or @t181 @t185) @t192 (or @t186 @t189 @t182))))) % 0.37/0.71 (assume @p45 (forall @t198 (= (= @t194 @t197) (and (or @t194 @t196) (or @t197 (not @t194)))))) % 0.37/0.71 (assume @p46 (forall @t198 (=> @t199 @t194))) % 0.37/0.71 (assume @p47 (forall @t198 (=> @t199 @t197))) % 0.37/0.71 (assume @p48 @t216) % 0.37/0.71 (assume @p49 true) % 0.37/0.71 (step @p50 :rule quant-unused-vars :args ((= @t225 (forall (@list @t217 @t218 @t87 @t94) @t222)))) % 0.37/0.71 (step @p51 :rule quant-merge-prenex :args ((= @t226 @t225))) % 0.37/0.71 (step @p52 :rule trans :premises (@p51 @p50)) % 0.37/0.71 (step @p53 :rule quant-unused-vars :args ((= @t235 (forall (@list @t227 @t228 @t106 @t113) @t232)))) % 0.37/0.71 (step @p54 :rule quant-merge-prenex :args ((= @t236 @t235))) % 0.37/0.71 (step @p55 :rule trans :premises (@p54 @p53)) % 0.37/0.71 (step @p56 :rule quant-unused-vars :args ((= @t244 (forall (@list @t237 @t238 @t124 @t126) @t241)))) % 0.37/0.71 (step @p57 :rule quant-merge-prenex :args ((= @t245 @t244))) % 0.37/0.71 (step @p58 :rule trans :premises (@p57 @p56)) % 0.37/0.71 (step @p59 :rule quant-unused-vars :args ((= @t253 (forall (@list @t246 @t247 @t132 @t134) @t250)))) % 0.37/0.71 (step @p60 :rule quant-merge-prenex :args ((= @t254 @t253))) % 0.37/0.71 (step @p61 :rule trans :premises (@p60 @p59)) % 0.37/0.71 (step @p62 :rule refl :args (@t261)) % 0.37/0.71 (step @p63 :rule refl :args (@t268)) % 0.37/0.71 (step @p64 :rule nary_cong :premises (@p63 @p62 @p61 @p58 @p55 @p52) :args ((and @t268 @t261 @t254 @t245 @t236 @t226))) % 0.37/0.71 (step @p65 :rule alpha_equiv :args (@t271 @t272 (@list @t217 @t218 @t224 @t223))) % 0.37/0.71 (step @p66 :rule alpha_equiv :args (@t275 @t272 (@list @t227 @t228 @t234 @t233))) % 0.37/0.71 (step @p67 :rule alpha_equiv :args (@t276 @t272 (@list @t237 @t238 @t243 @t242))) % 0.37/0.71 (step @p68 :rule alpha_equiv :args (@t277 @t272 (@list @t246 @t247 @t252 @t251))) % 0.37/0.71 (step @p69 :rule alpha_equiv :args (@t281 @t272 (@list @t258 @t255 @t259 @t256))) % 0.37/0.71 (step @p70 :rule alpha_equiv :args (@t286 @t272 (@list @t265 @t262 @t266 @t263))) % 0.37/0.71 (step @p71 :rule nary_cong :premises (@p70 @p69 @p68 @p67 @p66 @p65) :args (@t287)) % 0.37/0.71 (step @p72 :rule quant-miniscope-and :args ((= (forall @t168 (and @t285 @t280 @t138 @t130 @t274 @t270)) @t287))) % 0.37/0.71 (step @p73 :rule trans :premises (@p72 @p71)) % 0.37/0.71 (step @p74 :rule trans :premises (@p73 @p64)) % 0.37/0.71 (step @p75 :rule refl :args (@t269)) % 0.37/0.71 (step @p76 :rule bool-double-not-elim :args (@t96)) % 0.37/0.71 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or (not @t97) @t269))) % 0.37/0.71 (step @p78 :rule bool-impl-elim :args (@t97 @t269)) % 0.37/0.71 (step @p79 :rule trans :premises (@p78 @p77)) % 0.37/0.71 (step @p80 :rule cong :premises (@p79) :args ((forall @t99 (=> @t97 @t269)))) % 0.37/0.71 (step @p81 :rule exists-elim :args ((= @t93 @t269))) % 0.37/0.71 (step @p82 :rule refl :args (@t97)) % 0.37/0.71 (step @p83 :rule cong :premises (@p82 @p81) :args (@t98)) % 0.37/0.71 (step @p84 :rule cong :premises (@p83) :args (@t100)) % 0.37/0.71 (step @p85 :rule trans :premises (@p84 @p80)) % 0.37/0.71 (step @p86 :rule refl :args (@t101)) % 0.37/0.71 (step @p87 :rule cong :premises (@p86 @p85) :args (@t102)) % 0.37/0.71 (step @p88 :rule cong :premises (@p87) :args (@t104)) % 0.37/0.71 (step @p89 :rule bool-impl-elim :args (@t115 @t273)) % 0.37/0.71 (step @p90 :rule cong :premises (@p89) :args ((forall @t117 (=> @t115 @t273)))) % 0.37/0.71 (step @p91 :rule exists-elim :args ((= @t112 @t273))) % 0.37/0.71 (step @p92 :rule refl :args (@t115)) % 0.37/0.71 (step @p93 :rule cong :premises (@p92 @p91) :args (@t116)) % 0.37/0.71 (step @p94 :rule cong :premises (@p93) :args (@t118)) % 0.37/0.71 (step @p95 :rule trans :premises (@p94 @p90)) % 0.37/0.71 (step @p96 :rule refl :args (@t119)) % 0.37/0.71 (step @p97 :rule cong :premises (@p96 @p95) :args (@t120)) % 0.37/0.71 (step @p98 :rule cong :premises (@p97) :args (@t122)) % 0.37/0.71 (step @p99 :rule refl :args (@t130)) % 0.37/0.71 (step @p100 :rule refl :args (@t138)) % 0.37/0.71 (step @p101 :rule quant-miniscope-or :args ((= (forall @t152 @t288) @t279))) % 0.37/0.71 (step @p102 :rule aci_norm :args ((= @t289 @t288))) % 0.37/0.71 (step @p103 :rule cong :premises (@p102) :args ((forall @t152 @t289))) % 0.37/0.71 (step @p104 :rule trans :premises (@p103 @p101)) % 0.37/0.71 (step @p105 :rule refl :args (@t278)) % 0.37/0.71 (step @p106 :rule bool-double-not-elim :args (@t149)) % 0.37/0.71 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or (not @t150) @t278))) % 0.37/0.71 (step @p108 :rule bool-impl-elim :args (@t150 @t278)) % 0.37/0.71 (step @p109 :rule trans :premises (@p108 @p107)) % 0.37/0.71 (step @p110 :rule cong :premises (@p109) :args ((forall @t152 (=> @t150 @t278)))) % 0.37/0.71 (step @p111 :rule trans :premises (@p110 @p104)) % 0.37/0.71 (step @p112 :rule bool-double-not-elim :args (@t144)) % 0.37/0.71 (step @p113 :rule cong :premises (@p112) :args (@t290)) % 0.37/0.71 (step @p114 :rule cong :premises (@p113) :args (@t291)) % 0.37/0.71 (step @p115 :rule exists-elim :args ((= @t147 @t291))) % 0.37/0.71 (step @p116 :rule trans :premises (@p115 @p114)) % 0.37/0.71 (step @p117 :rule refl :args (@t150)) % 0.37/0.71 (step @p118 :rule cong :premises (@p117 @p116) :args (@t151)) % 0.37/0.71 (step @p119 :rule cong :premises (@p118) :args (@t153)) % 0.37/0.71 (step @p120 :rule trans :premises (@p119 @p111)) % 0.37/0.71 (step @p121 :rule refl :args (@t154)) % 0.37/0.71 (step @p122 :rule cong :premises (@p121 @p120) :args (@t155)) % 0.37/0.71 (step @p123 :rule quant-miniscope-or :args ((= (forall @t163 @t292) @t284))) % 0.37/0.71 (step @p124 :rule aci_norm :args ((= @t293 @t292))) % 0.37/0.71 (step @p125 :rule cong :premises (@p124) :args ((forall @t163 @t293))) % 0.37/0.71 (step @p126 :rule trans :premises (@p125 @p123)) % 0.37/0.71 (step @p127 :rule bool-impl-elim :args (@t161 @t283)) % 0.37/0.71 (step @p128 :rule cong :premises (@p127) :args ((forall @t163 (=> @t161 @t283)))) % 0.37/0.71 (step @p129 :rule trans :premises (@p128 @p126)) % 0.37/0.71 (step @p130 :rule exists-elim :args ((= @t159 @t283))) % 0.37/0.71 (step @p131 :rule refl :args (@t161)) % 0.37/0.71 (step @p132 :rule cong :premises (@p131 @p130) :args (@t162)) % 0.37/0.71 (step @p133 :rule cong :premises (@p132) :args (@t164)) % 0.37/0.71 (step @p134 :rule trans :premises (@p133 @p129)) % 0.37/0.71 (step @p135 :rule refl :args (@t165)) % 0.37/0.71 (step @p136 :rule cong :premises (@p135 @p134) :args (@t166)) % 0.37/0.71 (step @p137 :rule nary_cong :premises (@p136 @p122 @p100 @p99 @p98 @p88) :args (@t167)) % 0.37/0.71 (step @p138 :rule cong :premises (@p137) :args (@t169)) % 0.37/0.71 (step @p139 :rule trans :premises (@p138 @p74)) % 0.37/0.71 (step @p140 :rule eq_resolve :premises (@p36 @p139)) % 0.37/0.71 (step @p141 :rule and_elim :premises (@p140) :args (3)) % 0.37/0.71 (step @p142 :rule instantiate :premises (@p141) :args ((@list @t302 @t301 @t300 @t299))) % 0.37/0.71 (step @p143 :rule aci_norm :args ((= (or @t296 (or @t294 @t203)) @t297))) % 0.37/0.71 (step @p144 :rule bool-impl-elim :args (@t205 @t203)) % 0.37/0.71 (step @p145 :rule refl :args (@t296)) % 0.37/0.71 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or @t296 @t206))) % 0.37/0.71 (step @p147 :rule trans :premises (@p146 @p143)) % 0.37/0.71 (step @p148 :rule bool-impl-elim :args (@t295 @t206)) % 0.37/0.71 (step @p149 :rule trans :premises (@p148 @p147)) % 0.37/0.71 (step @p150 :rule cong :premises (@p149) :args ((forall @t214 (=> @t295 @t206)))) % 0.37/0.71 (step @p151 :rule refl :args (@t206)) % 0.37/0.71 (step @p152 :rule bool-impl-elim :args (@t210 @t209)) % 0.37/0.71 (step @p153 :rule cong :premises (@p152) :args (@t212)) % 0.37/0.71 (step @p154 :rule cong :premises (@p153 @p151) :args (@t213)) % 0.37/0.71 (step @p155 :rule cong :premises (@p154) :args (@t215)) % 0.37/0.71 (step @p156 :rule trans :premises (@p155 @p150)) % 0.37/0.71 (step @p157 :rule cong :premises (@p156) :args (@t216)) % 0.37/0.71 (step @p158 :rule eq_resolve :premises (@p48 @p157)) % 0.37/0.71 (step @p159 :rule skolemize :premises (@p158)) % 0.37/0.71 (step @p160 :rule cnf_or_neg :args (@t314 2)) % 0.37/0.71 (step @p161 :rule chain_m_resolution :premises (@p160 @p159) :args ((not @t306) @t315 @t316)) % 0.37/0.71 (step @p162 :rule cnf_equiv_pos2 :args (@t319)) % 0.37/0.71 (step @p163 :rule reordering :premises (@p162) :args ((or @t306 @t320 (not @t319)))) % 0.37/0.71 (step @p164 :rule chain_m_resolution :premises (@p163 @p161 @p142) :args (@t320 (@list true false) (@list @t306 @t319))) % 0.37/0.71 (step @p165 :rule refl :args (@t324)) % 0.37/0.71 (step @p166 :rule bool-double-not-elim :args (@t318)) % 0.37/0.71 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or (not @t320) @t324))) % 0.37/0.71 (step @p168 :rule bool-double-not-elim :args (@t324)) % 0.37/0.71 (step @p169 :rule refl :args (@t320)) % 0.37/0.71 (step @p170 :rule cong :premises (@p169 @p168) :args ((=> @t320 @t326))) % 0.37/0.71 (assume-push @p201 @t320) % 0.37/0.71 (step @p172 :rule skolemize :premises (@p164)) % 0.37/0.71 (step-pop @p202 :rule scope :premises (@p172)) % 0.37/0.71 (step @p173 :rule process_scope :premises (@p202) :args (@t326)) % 0.37/0.71 (step @p175 :rule eq_resolve :premises (@p173 @p170)) % 0.37/0.71 (step @p176 :rule implies_elim :premises (@p175)) % 0.37/0.71 (step @p177 :rule eq_resolve :premises (@p176 @p167)) % 0.37/0.71 (step @p178 :rule chain_m_resolution :premises (@p177 @p164) :args (@t324 @t315 (@list @t318))) % 0.37/0.71 (step @p179 :rule bool-double-not-elim :args (@t312)) % 0.37/0.71 (step @p180 :rule refl :args (@t314)) % 0.37/0.71 (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or @t314 (not @t313)))) % 0.37/0.71 (step @p182 :rule cnf_or_neg :args (@t314 0)) % 0.37/0.71 (step @p183 :rule eq_resolve :premises (@p182 @p181)) % 0.37/0.71 (step @p184 :rule reordering :premises (@p183) :args ((or @t312 @t314))) % 0.37/0.71 (step @p185 :rule chain_m_resolution :premises (@p184 @p159) :args (@t312 @t315 @t316)) % 0.37/0.71 (step @p186 :rule instantiate :premises (@p185) :args ((@list @t322))) % 0.37/0.71 (step @p187 :rule instantiate :premises (@p141) :args ((@list @t302 @t301 @t300 @t307))) % 0.37/0.71 (step @p188 :rule bool-double-not-elim :args (@t309)) % 0.37/0.71 (step @p189 :rule nary_cong :premises (@p180 @p188) :args ((or @t314 (not @t310)))) % 0.37/0.71 (step @p190 :rule cnf_or_neg :args (@t314 1)) % 0.37/0.71 (step @p191 :rule eq_resolve :premises (@p190 @p189)) % 0.37/0.71 (step @p192 :rule reordering :premises (@p191) :args ((or @t309 @t314))) % 0.37/0.71 (step @p193 :rule chain_m_resolution :premises (@p192 @p159) :args (@t309 @t315 @t316)) % 0.37/0.71 (step @p194 :rule cnf_equiv_pos1 :args (@t328)) % 0.37/0.71 (step @p195 :rule reordering :premises (@p194) :args ((or @t310 @t327 (not @t328)))) % 0.37/0.71 (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p187) :args (@t327 (@list false false) (@list @t309 @t328))) % 0.37/0.71 (step @p197 :rule instantiate :premises (@p196) :args ((@list @t321))) % 0.37/0.71 (step @p198 :rule cnf_or_pos :args (@t330)) % 0.37/0.71 (step @p199 :rule reordering :premises (@p198) :args ((or @t325 @t329 (not @t330)))) % 0.37/0.71 (step @p200 false :rule chain_m_resolution :premises (@p199 @p197 @p186 @p178) :args (false (@list true false false) (@list @t329 @t330 @t324))) % 0.37/0.71 ) % 0.37/0.71 % SZS output end Proof % 0.37/0.71 % cvc5 exiting %------------------------------------------------------------------------------