%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW470+5 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 09:05:00 AM UTC 2026 % Result : Theorem 8.94s 9.17s % Output : Proof 8.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW470+5 : TPTP v9.2.1. Released v5.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 22:03:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.40/0.60 %----Proving TF0_NAR, FOF, or CNF % 8.94/9.17 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 8.94/9.17 % SZS status Theorem % 8.94/9.17 % SZS output start Proof % 8.94/9.17 ( % 8.94/9.17 (declare-sort $$unsorted 0) % 8.94/9.17 (declare-const tptp.finite_finite (-> $$unsorted Bool)) % 8.94/9.17 (declare-const tptp.b $$unsorted) % 8.94/9.17 (declare-const tptp.x_a $$unsorted) % 8.94/9.17 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.fimplies $$unsorted) % 8.94/9.17 (declare-const tptp.fequal (-> $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.fdisj $$unsorted) % 8.94/9.17 (declare-const tptp.fconj $$unsorted) % 8.94/9.17 (declare-const tptp.fTrue $$unsorted) % 8.94/9.17 (declare-const tptp.g $$unsorted) % 8.94/9.17 (declare-const tptp.fFalse $$unsorted) % 8.94/9.17 (declare-const tptp.c $$unsorted) % 8.94/9.17 (declare-const tptp.finite_fold1Set (-> $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.member (-> $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.bool $$unsorted) % 8.94/9.17 (declare-const tptp.combc (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.finite_fold_graph (-> $$unsorted $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.combs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.hoare_1008221573triple (-> $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.bot (-> $$unsorted Bool)) % 8.94/9.17 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 8.94/9.17 (declare-const tptp.ti (-> $$unsorted $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.semi $$unsorted) % 8.94/9.17 (declare-const tptp.hoare_885240885e_case (-> $$unsorted $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.fun (-> $$unsorted $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.bot_bot (-> $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.fNot $$unsorted) % 8.94/9.17 (declare-const tptp.finite_fold1 (-> $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.skip $$unsorted) % 8.94/9.17 (declare-const tptp.combb (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.finite_folding_one (-> $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.finite2073411215e_idem (-> $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.hoare_122391849derivs (-> $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.finite_finite_1 (-> $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.the_elem (-> $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.hoare_509422987triple (-> $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.p $$unsorted) % 8.94/9.17 (declare-const tptp.state $$unsorted) % 8.94/9.17 (declare-const tptp.combk (-> $$unsorted $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.hoare_728318379le_rec (-> $$unsorted $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.com $$unsorted) % 8.94/9.17 (declare-const tptp.the (-> $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.collect (-> $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.undefined (-> $$unsorted $$unsorted)) % 8.94/9.17 (declare-const tptp.insert (-> $$unsorted $$unsorted)) % 8.94/9.17 (define @t1 () (@var "X_a" $$unsorted)) % 8.94/9.17 (define @t2 () (@var "X_c" $$unsorted)) % 8.94/9.17 (define @t3 () (@var "X_b" $$unsorted)) % 8.94/9.17 (define @t4 () (tptp.combb @t3 @t2 @t1)) % 8.94/9.17 (define @t5 () (tptp.fun @t1 @t2)) % 8.94/9.17 (define @t6 () (tptp.fun @t1 @t3)) % 8.94/9.17 (define @t7 () (tptp.fun @t6 @t5)) % 8.94/9.17 (define @t8 () (tptp.fun @t3 @t2)) % 8.94/9.17 (define @t9 () (tptp.combc @t1 @t3 @t2)) % 8.94/9.17 (define @t10 () (tptp.fun @t3 @t5)) % 8.94/9.17 (define @t11 () (tptp.fun @t1 @t8)) % 8.94/9.17 (define @t12 () (@list @t1 @t3 @t2)) % 8.94/9.17 (define @t13 () (tptp.combk @t1 @t3)) % 8.94/9.17 (define @t14 () (tptp.fun @t3 @t1)) % 8.94/9.17 (define @t15 () (tptp.combs @t1 @t3 @t2)) % 8.94/9.17 (define @t16 () (tptp.fun tptp.com tptp.com)) % 8.94/9.17 (define @t17 () (tptp.finite_finite_1 @t3)) % 8.94/9.17 (define @t18 () (tptp.fun @t3 tptp.bool)) % 8.94/9.17 (define @t19 () (tptp.fun @t18 tptp.bool)) % 8.94/9.17 (define @t20 () (@list @t3)) % 8.94/9.17 (define @t21 () (tptp.finite_fold1 @t3)) % 8.94/9.17 (define @t22 () (tptp.fun @t18 @t3)) % 8.94/9.17 (define @t23 () (tptp.fun @t3 @t3)) % 8.94/9.17 (define @t24 () (tptp.fun @t3 @t23)) % 8.94/9.17 (define @t25 () (tptp.finite_fold1Set @t3)) % 8.94/9.17 (define @t26 () (tptp.fun @t18 @t18)) % 8.94/9.17 (define @t27 () (tptp.finite_fold_graph @t3 @t2)) % 8.94/9.17 (define @t28 () (tptp.fun @t2 tptp.bool)) % 8.94/9.17 (define @t29 () (tptp.fun @t18 @t28)) % 8.94/9.17 (define @t30 () (tptp.fun @t2 @t29)) % 8.94/9.17 (define @t31 () (tptp.fun @t2 @t2)) % 8.94/9.17 (define @t32 () (tptp.fun @t3 @t31)) % 8.94/9.17 (define @t33 () (@list @t3 @t2)) % 8.94/9.17 (define @t34 () (tptp.finite_folding_one @t3)) % 8.94/9.17 (define @t35 () (tptp.fun @t22 tptp.bool)) % 8.94/9.17 (define @t36 () (tptp.fun @t24 @t35)) % 8.94/9.17 (define @t37 () (tptp.finite2073411215e_idem @t3)) % 8.94/9.17 (define @t38 () (tptp.the @t3)) % 8.94/9.17 (define @t39 () (tptp.undefined @t1)) % 8.94/9.17 (define @t40 () (@list @t1)) % 8.94/9.17 (define @t41 () (tptp.hoare_122391849derivs @t3)) % 8.94/9.17 (define @t42 () (tptp.hoare_509422987triple @t3)) % 8.94/9.17 (define @t43 () (tptp.fun @t42 tptp.bool)) % 8.94/9.17 (define @t44 () (tptp.fun @t43 tptp.bool)) % 8.94/9.17 (define @t45 () (tptp.hoare_1008221573triple @t3)) % 8.94/9.17 (define @t46 () (tptp.fun tptp.state tptp.bool)) % 8.94/9.17 (define @t47 () (tptp.fun @t3 @t46)) % 8.94/9.17 (define @t48 () (tptp.fun @t47 @t42)) % 8.94/9.17 (define @t49 () (tptp.fun tptp.com @t48)) % 8.94/9.17 (define @t50 () (tptp.hoare_885240885e_case @t2 @t3)) % 8.94/9.17 (define @t51 () (tptp.hoare_509422987triple @t2)) % 8.94/9.17 (define @t52 () (tptp.fun @t51 @t3)) % 8.94/9.17 (define @t53 () (tptp.fun @t2 @t46)) % 8.94/9.17 (define @t54 () (tptp.fun @t53 @t3)) % 8.94/9.17 (define @t55 () (tptp.fun tptp.com @t54)) % 8.94/9.17 (define @t56 () (tptp.fun @t53 @t55)) % 8.94/9.17 (define @t57 () (tptp.fun @t56 @t52)) % 8.94/9.17 (define @t58 () (@list @t2 @t3)) % 8.94/9.17 (define @t59 () (tptp.hoare_728318379le_rec @t2 @t3)) % 8.94/9.17 (define @t60 () (tptp.bot_bot @t3)) % 8.94/9.17 (define @t61 () (tptp.bot @t3)) % 8.94/9.17 (define @t62 () (tptp.collect @t3)) % 8.94/9.17 (define @t63 () (tptp.insert @t3)) % 8.94/9.17 (define @t64 () (tptp.fun @t3 @t26)) % 8.94/9.17 (define @t65 () (tptp.the_elem @t3)) % 8.94/9.17 (define @t66 () (tptp.fun tptp.bool tptp.bool)) % 8.94/9.17 (define @t67 () (tptp.fun tptp.bool @t66)) % 8.94/9.17 (define @t68 () (tptp.fequal @t1)) % 8.94/9.17 (define @t69 () (tptp.fun @t1 tptp.bool)) % 8.94/9.17 (define @t70 () (@var "B_2" $$unsorted)) % 8.94/9.17 (define @t71 () (@var "B_1_1" $$unsorted)) % 8.94/9.17 (define @t72 () (tptp.hAPP @t1 @t2 @t71 @t70)) % 8.94/9.17 (define @t73 () (@list @t1 @t2 @t71 @t70)) % 8.94/9.17 (define @t74 () (tptp.ti @t2 @t72)) % 8.94/9.17 (define @t75 () (forall (@list @t2 @t1 @t71 @t70) (= @t74 @t72))) % 8.94/9.17 (define @t76 () (tptp.member @t3)) % 8.94/9.17 (define @t77 () (tptp.fun @t3 @t19)) % 8.94/9.17 (define @t78 () (tptp.hoare_509422987triple tptp.x_a)) % 8.94/9.17 (define @t79 () (tptp.fun @t78 tptp.bool)) % 8.94/9.17 (define @t80 () (tptp.fun tptp.x_a @t46)) % 8.94/9.17 (define @t81 () (tptp.bot_bot @t43)) % 8.94/9.17 (define @t82 () (@var "Ga" $$unsorted)) % 8.94/9.17 (define @t83 () (tptp.hAPP @t43 @t44 @t41 @t82)) % 8.94/9.17 (define @t84 () (@var "Fun2_2" $$unsorted)) % 8.94/9.17 (define @t85 () (@var "Fun2_1" $$unsorted)) % 8.94/9.17 (define @t86 () (@var "Com_2" $$unsorted)) % 8.94/9.17 (define @t87 () (@var "Com_1" $$unsorted)) % 8.94/9.17 (define @t88 () (@var "Fun1_2" $$unsorted)) % 8.94/9.17 (define @t89 () (@var "Fun1_1" $$unsorted)) % 8.94/9.17 (define @t90 () (@var "Ts" $$unsorted)) % 8.94/9.17 (define @t91 () (tptp.hBOOL (tptp.hAPP @t43 tptp.bool @t83 @t90))) % 8.94/9.17 (define @t92 () (@var "G_1" $$unsorted)) % 8.94/9.17 (define @t93 () (@var "T_3" $$unsorted)) % 8.94/9.17 (define @t94 () (tptp.insert @t42)) % 8.94/9.17 (define @t95 () (tptp.fun @t43 @t43)) % 8.94/9.17 (define @t96 () (tptp.hAPP @t42 @t95 @t94 @t93)) % 8.94/9.17 (define @t97 () (@var "Q_1" $$unsorted)) % 8.94/9.17 (define @t98 () (@var "Ca" $$unsorted)) % 8.94/9.17 (define @t99 () (@var "C" $$unsorted)) % 8.94/9.17 (define @t100 () (@var "Pa" $$unsorted)) % 8.94/9.17 (define @t101 () (tptp.fun tptp.state @t66)) % 8.94/9.17 (define @t102 () (tptp.fun @t46 @t101)) % 8.94/9.17 (define @t103 () (tptp.hAPP @t67 @t102 (tptp.combb tptp.bool @t66 tptp.state) tptp.fconj)) % 8.94/9.17 (define @t104 () (tptp.fun @t3 @t101)) % 8.94/9.17 (define @t105 () (tptp.fun tptp.bool @t46)) % 8.94/9.17 (define @t106 () (tptp.fun @t3 @t105)) % 8.94/9.17 (define @t107 () (tptp.hAPP @t47 @t49 @t45 @t100)) % 8.94/9.17 (define @t108 () (tptp.hAPP tptp.com @t48 @t107 @t98)) % 8.94/9.17 (define @t109 () (tptp.hBOOL (tptp.hAPP @t43 tptp.bool @t83 (tptp.hAPP @t43 @t43 (tptp.hAPP @t42 @t95 @t94 (tptp.hAPP @t47 @t42 @t108 @t97)) @t81)))) % 8.94/9.17 (define @t110 () (@var "Z_1" $$unsorted)) % 8.94/9.17 (define @t111 () (tptp.hAPP @t3 @t46 @t97 @t110)) % 8.94/9.17 (define @t112 () (tptp.combk @t46 @t3)) % 8.94/9.17 (define @t113 () (@var "S" $$unsorted)) % 8.94/9.17 (define @t114 () (tptp.fun tptp.state @t46)) % 8.94/9.17 (define @t115 () (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP @t3 @t46 @t100 @t110) @t113))) % 8.94/9.17 (define @t116 () (@list @t110 @t113)) % 8.94/9.17 (define @t117 () (@var "Q_3" $$unsorted)) % 8.94/9.17 (define @t118 () (@var "P_2" $$unsorted)) % 8.94/9.17 (define @t119 () (tptp.hAPP tptp.com @t48 (tptp.hAPP @t47 @t49 @t45 @t118) @t98)) % 8.94/9.17 (define @t120 () (@var "S_1" $$unsorted)) % 8.94/9.17 (define @t121 () (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool @t111 @t120))) % 8.94/9.17 (define @t122 () (@var "Z_2" $$unsorted)) % 8.94/9.17 (define @t123 () (@list @t122)) % 8.94/9.17 (define @t124 () (@list @t120)) % 8.94/9.17 (define @t125 () (@var "A_1" $$unsorted)) % 8.94/9.17 (define @t126 () (@var "A_4" $$unsorted)) % 8.94/9.17 (define @t127 () (tptp.hAPP @t3 @t19 @t76 @t126)) % 8.94/9.17 (define @t128 () (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t127 @t125))) % 8.94/9.17 (define @t129 () (@var "Ba" $$unsorted)) % 8.94/9.17 (define @t130 () (tptp.ti @t3 @t129)) % 8.94/9.17 (define @t131 () (tptp.ti @t3 @t126)) % 8.94/9.17 (define @t132 () (= @t131 @t130)) % 8.94/9.17 (define @t133 () (tptp.hAPP @t3 @t26 @t63 @t129)) % 8.94/9.17 (define @t134 () (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t127 (tptp.hAPP @t18 @t18 @t133 @t125)))) % 8.94/9.17 (define @t135 () (@list @t3 @t126 @t129 @t125)) % 8.94/9.17 (define @t136 () (@var "B_1" $$unsorted)) % 8.94/9.17 (define @t137 () (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t127 (tptp.hAPP @t18 @t18 @t133 @t136)))) % 8.94/9.17 (define @t138 () (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t127 @t136))) % 8.94/9.17 (define @t139 () (@list @t3 @t129 @t126 @t136)) % 8.94/9.17 (define @t140 () (tptp.bot_bot @t18)) % 8.94/9.17 (define @t141 () (@list @t3 @t126)) % 8.94/9.17 (define @t142 () (tptp.hAPP @t3 @t26 @t63 @t126)) % 8.94/9.17 (define @t143 () (tptp.hAPP @t18 @t18 @t142 @t140)) % 8.94/9.17 (define @t144 () (tptp.fequal @t3)) % 8.94/9.17 (define @t145 () (tptp.hAPP @t3 @t18 @t144 @t126)) % 8.94/9.17 (define @t146 () (tptp.fun @t3 @t18)) % 8.94/9.17 (define @t147 () (tptp.hAPP @t146 @t146 (tptp.combc @t3 @t3 tptp.bool) @t144)) % 8.94/9.17 (define @t148 () (tptp.hAPP @t3 @t18 @t147 @t126)) % 8.94/9.17 (define @t149 () (tptp.combb tptp.bool @t66 @t3)) % 8.94/9.17 (define @t150 () (tptp.fun @t3 @t66)) % 8.94/9.17 (define @t151 () (tptp.fun @t18 @t150)) % 8.94/9.17 (define @t152 () (tptp.hAPP @t67 @t151 @t149 tptp.fconj)) % 8.94/9.17 (define @t153 () (tptp.combs @t3 tptp.bool tptp.bool)) % 8.94/9.17 (define @t154 () (tptp.hAPP @t18 @t18 @t62 (tptp.hAPP @t18 @t18 (tptp.hAPP @t150 @t26 @t153 (tptp.hAPP @t18 @t150 @t152 @t145)) @t100))) % 8.94/9.17 (define @t155 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t100 @t126))) % 8.94/9.17 (define @t156 () (not @t155)) % 8.94/9.17 (define @t157 () (@list @t3 @t100 @t126)) % 8.94/9.17 (define @t158 () (tptp.hAPP @t18 @t18 @t62 (tptp.hAPP @t18 @t18 (tptp.hAPP @t150 @t26 @t153 (tptp.hAPP @t18 @t150 @t152 @t148)) @t100))) % 8.94/9.17 (define @t159 () (@var "F1" $$unsorted)) % 8.94/9.17 (define @t160 () (tptp.hAPP @t53 @t3 (tptp.hAPP tptp.com @t54 (tptp.hAPP @t53 @t55 @t159 @t89) @t87) @t85)) % 8.94/9.17 (define @t161 () (tptp.fun @t53 @t51)) % 8.94/9.17 (define @t162 () (tptp.hAPP @t53 @t51 (tptp.hAPP tptp.com @t161 (tptp.hAPP @t53 (tptp.fun tptp.com @t161) (tptp.hoare_1008221573triple @t2) @t89) @t87) @t85)) % 8.94/9.17 (define @t163 () (@list @t2 @t3 @t159 @t89 @t87 @t85)) % 8.94/9.17 (define @t164 () (not @t128)) % 8.94/9.17 (define @t165 () (tptp.ti @t18 @t125)) % 8.94/9.17 (define @t166 () (= @t165 @t140)) % 8.94/9.17 (define @t167 () (=> @t166 @t164)) % 8.94/9.17 (define @t168 () (@list @t3 @t126 @t125)) % 8.94/9.17 (define @t169 () (forall @t168 @t167)) % 8.94/9.17 (define @t170 () (@var "X_2" $$unsorted)) % 8.94/9.17 (define @t171 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t100 @t170))) % 8.94/9.17 (define @t172 () (@list @t170)) % 8.94/9.17 (define @t173 () (forall @t172 (not @t171))) % 8.94/9.17 (define @t174 () (tptp.hAPP @t18 @t18 @t62 @t100)) % 8.94/9.17 (define @t175 () (@list @t3 @t100)) % 8.94/9.17 (define @t176 () (not @t166)) % 8.94/9.17 (define @t177 () (tptp.hAPP @t3 @t19 @t76 @t170)) % 8.94/9.17 (define @t178 () (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t177 @t125))) % 8.94/9.17 (define @t179 () (@list @t3 @t125)) % 8.94/9.17 (define @t180 () (tptp.hAPP @t18 @t18 @t142 @t125)) % 8.94/9.17 (define @t181 () (@var "X_1" $$unsorted)) % 8.94/9.17 (define @t182 () (tptp.hAPP @t3 @t26 @t63 @t181)) % 8.94/9.17 (define @t183 () (tptp.hAPP @t18 @t18 @t182 @t125)) % 8.94/9.17 (define @t184 () (tptp.hAPP @t3 @t19 @t76 @t181)) % 8.94/9.17 (define @t185 () (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t184 @t125))) % 8.94/9.17 (define @t186 () (not @t185)) % 8.94/9.17 (define @t187 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t125 @t181))) % 8.94/9.17 (define @t188 () (tptp.ti @t3 @t181)) % 8.94/9.17 (define @t189 () (@var "Y_2" $$unsorted)) % 8.94/9.17 (define @t190 () (tptp.ti @t3 @t189)) % 8.94/9.17 (define @t191 () (tptp.hAPP @t3 @t26 @t63 @t189)) % 8.94/9.17 (define @t192 () (tptp.hAPP @t18 @t18 @t191 @t125)) % 8.94/9.17 (define @t193 () (@list @t3 @t181 @t125)) % 8.94/9.17 (define @t194 () (tptp.combb tptp.bool tptp.bool @t3)) % 8.94/9.17 (define @t195 () (@list @t3 @t126 @t100)) % 8.94/9.17 (define @t196 () (tptp.hAPP @t77 @t26 (tptp.combc @t3 @t18 tptp.bool) @t76)) % 8.94/9.17 (define @t197 () (tptp.hAPP @t67 @t151 @t149 tptp.fdisj)) % 8.94/9.17 (define @t198 () (tptp.hAPP @t18 @t18 @t142 @t136)) % 8.94/9.17 (define @t199 () (@list @t3 @t126 @t136)) % 8.94/9.17 (define @t200 () (@var "Xa" $$unsorted)) % 8.94/9.17 (define @t201 () (tptp.hAPP @t3 @t26 @t63 @t170)) % 8.94/9.17 (define @t202 () (tptp.hAPP @t18 @t18 @t133 @t140)) % 8.94/9.17 (define @t203 () (= @t130 @t131)) % 8.94/9.17 (define @t204 () (tptp.hBOOL (tptp.hAPP @t18 tptp.bool (tptp.hAPP @t3 @t19 @t76 @t129) @t143))) % 8.94/9.17 (define @t205 () (@list @t3 @t129 @t126)) % 8.94/9.17 (define @t206 () (tptp.ti @t3 @t98)) % 8.94/9.17 (define @t207 () (@var "D" $$unsorted)) % 8.94/9.17 (define @t208 () (tptp.ti @t3 @t207)) % 8.94/9.17 (define @t209 () (tptp.hAPP @t18 @t18 @t182 @t140)) % 8.94/9.17 (define @t210 () (@list @t3 @t181)) % 8.94/9.17 (define @t211 () (@var "R_1" $$unsorted)) % 8.94/9.17 (define @t212 () (@var "Fun2" $$unsorted)) % 8.94/9.17 (define @t213 () (@var "Com" $$unsorted)) % 8.94/9.17 (define @t214 () (@var "Fun1" $$unsorted)) % 8.94/9.17 (define @t215 () (@var "B" $$unsorted)) % 8.94/9.17 (define @t216 () (@list @t215)) % 8.94/9.17 (define @t217 () (@var "Com2_2" $$unsorted)) % 8.94/9.17 (define @t218 () (@var "Com1_2" $$unsorted)) % 8.94/9.17 (define @t219 () (tptp.hAPP tptp.com tptp.com (tptp.hAPP tptp.com @t16 tptp.semi @t218) @t217)) % 8.94/9.17 (define @t220 () (@list @t218 @t217)) % 8.94/9.17 (define @t221 () (@var "X_3" $$unsorted)) % 8.94/9.17 (define @t222 () (@var "Com2" $$unsorted)) % 8.94/9.17 (define @t223 () (@var "Com2_1" $$unsorted)) % 8.94/9.17 (define @t224 () (@var "Com1" $$unsorted)) % 8.94/9.17 (define @t225 () (@var "Com1_1" $$unsorted)) % 8.94/9.17 (define @t226 () (tptp.hAPP @t18 @t3 @t38 (tptp.hAPP @t18 @t18 (tptp.hAPP @t150 @t26 @t153 (tptp.hAPP @t18 @t150 @t152 (tptp.hAPP @t18 @t18 (tptp.hAPP @t66 @t26 @t194 (tptp.hAPP tptp.bool @t66 tptp.fimplies @t100)) (tptp.hAPP @t3 @t18 @t147 @t181)))) (tptp.hAPP @t18 @t18 (tptp.hAPP @t66 @t26 @t194 (tptp.hAPP tptp.bool @t66 tptp.fimplies (tptp.hAPP tptp.bool tptp.bool tptp.fNot @t100))) (tptp.hAPP @t3 @t18 @t147 @t189))))) % 8.94/9.17 (define @t227 () (tptp.hBOOL @t100)) % 8.94/9.17 (define @t228 () (@var "Y_1" $$unsorted)) % 8.94/9.17 (define @t229 () (@list @t228)) % 8.94/9.17 (define @t230 () (tptp.hAPP @t18 @t3 @t38 @t100)) % 8.94/9.17 (define @t231 () (= @t230 @t131)) % 8.94/9.17 (define @t232 () (tptp.ti @t3 @t170)) % 8.94/9.17 (define @t233 () (forall @t172 (=> @t171 (= @t232 @t131)))) % 8.94/9.17 (define @t234 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t100 @t230))) % 8.94/9.17 (define @t235 () (exists @t172 (and @t171 (forall @t229 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t100 @t228)) (= (tptp.ti @t3 @t228) @t232)))))) % 8.94/9.17 (define @t236 () (@var "Q_2" $$unsorted)) % 8.94/9.17 (define @t237 () (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP @t3 @t46 @t236 @t122) @t120))) % 8.94/9.17 (define @t238 () (@var "P_1" $$unsorted)) % 8.94/9.17 (define @t239 () (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP @t3 @t46 @t238 @t122) @t113))) % 8.94/9.17 (define @t240 () (forall @t123 (=> @t239 @t237))) % 8.94/9.17 (define @t241 () (=> @t240 @t121)) % 8.94/9.17 (define @t242 () (forall @t124 @t241)) % 8.94/9.17 (define @t243 () (tptp.hBOOL (tptp.hAPP @t43 tptp.bool @t83 (tptp.hAPP @t43 @t43 (tptp.hAPP @t42 @t95 @t94 (tptp.hAPP @t47 @t42 (tptp.hAPP tptp.com @t48 (tptp.hAPP @t47 @t49 @t45 @t238) @t98) @t236)) @t81)))) % 8.94/9.17 (define @t244 () (and @t243 @t242)) % 8.94/9.17 (define @t245 () (@list @t238 @t236)) % 8.94/9.17 (define @t246 () (exists @t245 @t244)) % 8.94/9.17 (define @t247 () (=> @t115 @t246)) % 8.94/9.17 (define @t248 () (forall @t116 @t247)) % 8.94/9.17 (define @t249 () (=> @t248 @t109)) % 8.94/9.17 (define @t250 () (@list @t3 @t97 @t82 @t98 @t100)) % 8.94/9.17 (define @t251 () (forall @t250 @t249)) % 8.94/9.17 (define @t252 () (@var "F_1" $$unsorted)) % 8.94/9.17 (define @t253 () (tptp.hAPP @t24 @t26 @t25 @t252)) % 8.94/9.17 (define @t254 () (@var "F" $$unsorted)) % 8.94/9.17 (define @t255 () (tptp.hBOOL (tptp.hAPP @t22 tptp.bool (tptp.hAPP @t24 @t35 @t34 @t252) @t254))) % 8.94/9.17 (define @t256 () (@list @t3 @t181 @t252 @t254)) % 8.94/9.17 (define @t257 () (tptp.hAPP @t18 @t18 @t253 @t125)) % 8.94/9.17 (define @t258 () (tptp.hAPP @t24 @t64 (tptp.finite_fold_graph @t3 @t3) @t252)) % 8.94/9.17 (define @t259 () (tptp.hAPP @t18 @t3 @t254 @t125)) % 8.94/9.17 (define @t260 () (tptp.hAPP @t3 @t23 @t252 @t181)) % 8.94/9.17 (define @t261 () (tptp.hAPP @t3 @t3 @t260 @t259)) % 8.94/9.17 (define @t262 () (=> @t176 (= (tptp.hAPP @t18 @t3 @t254 @t183) @t261))) % 8.94/9.17 (define @t263 () (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t17 @t125))) % 8.94/9.17 (define @t264 () (@list @t3 @t181 @t125 @t252 @t254)) % 8.94/9.17 (define @t265 () (tptp.hAPP @t24 @t22 @t21 @t252)) % 8.94/9.17 (define @t266 () (tptp.hAPP @t18 @t3 @t265 @t125)) % 8.94/9.17 (define @t267 () (@list @t3 @t252 @t125)) % 8.94/9.17 (define @t268 () (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t17 (tptp.hAPP @t18 @t18 @t62 @t97)))) % 8.94/9.17 (define @t269 () (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t17 @t174))) % 8.94/9.17 (define @t270 () (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t17 @t180))) % 8.94/9.17 (define @t271 () (@var "G" $$unsorted)) % 8.94/9.17 (define @t272 () (forall @t193 (= @t185 @t187))) % 8.94/9.17 (define @t273 () (forall @t175 (= @t174 (tptp.ti @t18 @t100)))) % 8.94/9.17 (define @t274 () (@list @t3 @t125 @t252 @t254)) % 8.94/9.17 (define @t275 () (@var "Z" $$unsorted)) % 8.94/9.17 (define @t276 () (tptp.hAPP @t2 @t29 (tptp.hAPP @t32 @t30 @t27 @t252) @t275)) % 8.94/9.17 (define @t277 () (tptp.hAPP @t18 @t28 @t276 @t140)) % 8.94/9.17 (define @t278 () (tptp.ti @t2 @t275)) % 8.94/9.17 (define @t279 () (tptp.hAPP @t18 @t28 @t276 @t125)) % 8.94/9.17 (define @t280 () (@var "A_2" $$unsorted)) % 8.94/9.17 (define @t281 () (@var "A_3" $$unsorted)) % 8.94/9.17 (define @t282 () (tptp.hBOOL (tptp.hAPP @t18 tptp.bool (tptp.hAPP @t3 @t19 @t76 @t281) @t280))) % 8.94/9.17 (define @t283 () (tptp.hAPP @t18 @t18 (tptp.hAPP @t3 @t26 @t258 @t281) @t280)) % 8.94/9.17 (define @t284 () (tptp.hAPP @t18 @t18 (tptp.hAPP @t3 @t26 @t63 @t281) @t280)) % 8.94/9.17 (define @t285 () (tptp.hAPP @t18 @t18 @t142 @t221)) % 8.94/9.17 (define @t286 () (@var "X1" $$unsorted)) % 8.94/9.17 (define @t287 () (@list @t286)) % 8.94/9.17 (define @t288 () (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t100 @t254))) % 8.94/9.17 (define @t289 () (@var "F_2" $$unsorted)) % 8.94/9.17 (define @t290 () (=> (not (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t177 @t289))) (=> (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t100 @t289)) (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t100 (tptp.hAPP @t18 @t18 @t201 @t289)))))) % 8.94/9.17 (define @t291 () (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t17 @t289))) % 8.94/9.17 (define @t292 () (@list @t170 @t289)) % 8.94/9.17 (define @t293 () (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t17 @t254))) % 8.94/9.17 (define @t294 () (@list @t3 @t100 @t254)) % 8.94/9.17 (define @t295 () (tptp.ti @t18 @t126)) % 8.94/9.17 (define @t296 () (@var "A2" $$unsorted)) % 8.94/9.17 (define @t297 () (@var "A1" $$unsorted)) % 8.94/9.17 (define @t298 () (tptp.ti @t18 @t297)) % 8.94/9.17 (define @t299 () (tptp.ti @t2 @t296)) % 8.94/9.17 (define @t300 () (tptp.hBOOL (tptp.hAPP @t22 tptp.bool (tptp.hAPP @t24 @t35 @t37 @t252) @t254))) % 8.94/9.17 (define @t301 () (@var "T_1" $$unsorted)) % 8.94/9.17 (define @t302 () (@var "T_2" $$unsorted)) % 8.94/9.17 (define @t303 () (tptp.fun @t302 @t301)) % 8.94/9.17 (define @t304 () (@list @t302 @t301)) % 8.94/9.17 (define @t305 () (@var "A" $$unsorted)) % 8.94/9.17 (define @t306 () (@var "T" $$unsorted)) % 8.94/9.17 (define @t307 () (tptp.ti @t306 @t305)) % 8.94/9.17 (define @t308 () (@var "P" $$unsorted)) % 8.94/9.17 (define @t309 () (tptp.hBOOL @t308)) % 8.94/9.17 (define @t310 () (not @t309)) % 8.94/9.17 (define @t311 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool tptp.fNot @t308))) % 8.94/9.17 (define @t312 () (@list @t308)) % 8.94/9.17 (define @t313 () (@var "R" $$unsorted)) % 8.94/9.17 (define @t314 () (@var "Q" $$unsorted)) % 8.94/9.17 (define @t315 () (tptp.hAPP @t1 @t3 @t314 @t313)) % 8.94/9.17 (define @t316 () (@list @t1 @t2 @t3 @t308 @t314 @t313)) % 8.94/9.17 (define @t317 () (tptp.hAPP @t1 @t8 @t308 @t313)) % 8.94/9.17 (define @t318 () (forall (@list @t3 @t1 @t308 @t314) (= (tptp.hAPP @t3 @t1 (tptp.hAPP @t1 @t14 @t13 @t308) @t314) (tptp.ti @t1 @t308)))) % 8.94/9.17 (define @t319 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t66 tptp.fconj @t308) @t314))) % 8.94/9.17 (define @t320 () (tptp.hBOOL @t314)) % 8.94/9.17 (define @t321 () (not @t320)) % 8.94/9.17 (define @t322 () (@list @t314 @t308)) % 8.94/9.17 (define @t323 () (not @t319)) % 8.94/9.17 (define @t324 () (@list @t308 @t314)) % 8.94/9.17 (define @t325 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t66 tptp.fdisj @t308) @t314))) % 8.94/9.17 (define @t326 () (tptp.ti tptp.bool @t308)) % 8.94/9.17 (define @t327 () (@var "Y" $$unsorted)) % 8.94/9.17 (define @t328 () (@var "X" $$unsorted)) % 8.94/9.17 (define @t329 () (= (tptp.ti @t1 @t328) (tptp.ti @t1 @t327))) % 8.94/9.17 (define @t330 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t69 @t68 @t328) @t327))) % 8.94/9.17 (define @t331 () (@list @t1 @t328 @t327)) % 8.94/9.17 (define @t332 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t66 tptp.fimplies @t308) @t314))) % 8.94/9.17 (define @t333 () (tptp.bot_bot @t79)) % 8.94/9.17 (define @t334 () (tptp.fun @t46 @t46)) % 8.94/9.17 (define @t335 () (tptp.fun tptp.x_a @t101)) % 8.94/9.17 (define @t336 () (tptp.fun tptp.x_a @t334)) % 8.94/9.17 (define @t337 () (tptp.hAPP @t46 @t80 (tptp.hAPP @t336 (tptp.fun @t46 @t80) (tptp.combc tptp.x_a @t46 @t46) (tptp.hAPP @t335 @t336 (tptp.hAPP (tptp.fun @t101 @t334) (tptp.fun @t335 @t336) (tptp.combb @t101 @t334 tptp.x_a) (tptp.combs tptp.state tptp.bool tptp.bool)) (tptp.hAPP @t80 @t335 (tptp.hAPP @t102 (tptp.fun @t80 @t335) (tptp.combb @t46 @t101 tptp.x_a) @t103) tptp.p))) (tptp.hAPP @t46 @t46 (tptp.hAPP @t66 @t334 (tptp.combb tptp.bool tptp.bool tptp.state) tptp.fNot) tptp.b))) % 8.94/9.17 (define @t338 () (tptp.combk tptp.bool tptp.state)) % 8.94/9.17 (define @t339 () (tptp.hAPP tptp.bool @t46 @t338 tptp.fFalse)) % 8.94/9.17 (define @t340 () (tptp.hAPP @t46 @t80 (tptp.combk @t46 tptp.x_a) @t339)) % 8.94/9.17 (define @t341 () (tptp.hoare_1008221573triple tptp.x_a)) % 8.94/9.17 (define @t342 () (tptp.fun @t80 @t78)) % 8.94/9.17 (define @t343 () (tptp.fun tptp.com @t342)) % 8.94/9.17 (define @t344 () (tptp.insert @t78)) % 8.94/9.17 (define @t345 () (tptp.fun @t79 @t79)) % 8.94/9.17 (define @t346 () (tptp.hAPP @t79 (tptp.fun @t79 tptp.bool) (tptp.hoare_122391849derivs tptp.x_a) tptp.g)) % 8.94/9.17 (define @t347 () (tptp.hBOOL (tptp.hAPP @t79 tptp.bool @t346 (tptp.hAPP @t79 @t79 (tptp.hAPP @t78 @t345 @t344 (tptp.hAPP @t80 @t78 (tptp.hAPP tptp.com @t342 (tptp.hAPP @t80 @t343 @t341 @t340) tptp.c) @t337)) @t333)))) % 8.94/9.17 (define @t348 () (= @t140 @t165)) % 8.94/9.17 (define @t349 () (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP tptp.x_a @t46 @t236 @t122) @t120))) % 8.94/9.17 (define @t350 () (tptp.hAPP tptp.x_a @t46 @t238 @t122)) % 8.94/9.17 (define @t351 () (not (tptp.hBOOL (tptp.hAPP @t79 tptp.bool @t346 (tptp.hAPP @t79 @t79 (tptp.hAPP @t78 @t345 @t344 (tptp.hAPP @t80 @t78 (tptp.hAPP tptp.com @t342 (tptp.hAPP @t80 @t343 @t341 @t238) tptp.c) @t236)) @t333))))) % 8.94/9.17 (define @t352 () (forall @t116 (or (not (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP tptp.x_a @t46 @t340 @t110) @t113))) (not (forall @t245 (or @t351 (not (forall @t124 (or (not (forall @t123 (or (not (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool @t350 @t113))) @t349))) (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP tptp.x_a @t46 @t337 @t110) @t120))))))))))) % 8.94/9.17 (define @t353 () (@quantifiers_skolemize @t352 0)) % 8.94/9.17 (define @t354 () (tptp.hAPP tptp.x_a @t46 @t340 @t353)) % 8.94/9.17 (define @t355 () (@quantifiers_skolemize @t352 1)) % 8.94/9.17 (define @t356 () (@list tptp.state @t355 @t354)) % 8.94/9.17 (define @t357 () (tptp.hBOOL (tptp.hAPP @t46 tptp.bool (tptp.hAPP tptp.state (tptp.fun @t46 tptp.bool) (tptp.member tptp.state) @t355) @t354))) % 8.94/9.17 (define @t358 () (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool @t354 @t355))) % 8.94/9.17 (define @t359 () (= @t357 @t358)) % 8.94/9.17 (define @t360 () (= @t358 @t357)) % 8.94/9.17 (define @t361 () (@list false)) % 8.94/9.17 (define @t362 () (forall @t123 (or (not @t239) @t237))) % 8.94/9.17 (define @t363 () (forall @t124 (or (not @t362) @t121))) % 8.94/9.17 (define @t364 () (not (forall @t245 (or (not @t243) (not @t363))))) % 8.94/9.17 (define @t365 () (forall @t116 (or (not @t115) @t364))) % 8.94/9.17 (define @t366 () (and @t243 @t363)) % 8.94/9.17 (define @t367 () (forall @t245 (not @t366))) % 8.94/9.17 (define @t368 () (not @t367)) % 8.94/9.17 (define @t369 () (not @t352)) % 8.94/9.17 (define @t370 () (or @t369 @t347)) % 8.94/9.17 (define @t371 () (not @t358)) % 8.94/9.17 (define @t372 () (or @t371 (not (forall @t245 (or @t351 (not (forall @t124 (or (not (forall @t123 (or (not (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool @t350 @t355))) @t349))) (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP tptp.x_a @t46 @t337 @t353) @t120)))))))))) % 8.94/9.17 (define @t373 () (@list false false)) % 8.94/9.17 (define @t374 () (not @t357)) % 8.94/9.17 (define @t375 () (not (= (tptp.bot_bot @t46) (tptp.ti @t46 @t354)))) % 8.94/9.17 (define @t376 () (or @t375 @t374)) % 8.94/9.17 (define @t377 () (tptp.ti @t46 @t339)) % 8.94/9.17 (define @t378 () (= @t354 @t377)) % 8.94/9.17 (define @t379 () (tptp.hAPP @t46 @t46 (tptp.collect tptp.state) @t339)) % 8.94/9.17 (define @t380 () (= @t379 @t377)) % 8.94/9.17 (assume @p1 (forall (@list @t3 @t2 @t1) (= (tptp.ti (tptp.fun @t8 @t7) @t4) @t4))) % 8.94/9.17 (assume @p2 (forall @t12 (= (tptp.ti (tptp.fun @t11 @t10) @t9) @t9))) % 8.94/9.17 (assume @p3 (forall (@list @t1 @t3) (= (tptp.ti (tptp.fun @t1 @t14) @t13) @t13))) % 8.94/9.17 (assume @p4 (forall @t12 (= (tptp.ti (tptp.fun @t11 @t7) @t15) @t15))) % 8.94/9.17 (assume @p5 (= (tptp.ti tptp.com tptp.skip) tptp.skip)) % 8.94/9.17 (assume @p6 (= (tptp.ti (tptp.fun tptp.com @t16) tptp.semi) tptp.semi)) % 8.94/9.17 (assume @p7 (forall @t20 (= (tptp.ti @t19 @t17) @t17))) % 8.94/9.17 (assume @p8 (forall @t20 (= (tptp.ti (tptp.fun @t24 @t22) @t21) @t21))) % 8.94/9.17 (assume @p9 (forall @t20 (= (tptp.ti (tptp.fun @t24 @t26) @t25) @t25))) % 8.94/9.17 (assume @p10 (forall @t33 (= (tptp.ti (tptp.fun @t32 @t30) @t27) @t27))) % 8.94/9.17 (assume @p11 (forall @t20 (= (tptp.ti @t36 @t34) @t34))) % 8.94/9.17 (assume @p12 (forall @t20 (= (tptp.ti @t36 @t37) @t37))) % 8.94/9.17 (assume @p13 (forall @t20 (= (tptp.ti @t22 @t38) @t38))) % 8.94/9.17 (assume @p14 (forall @t40 (= (tptp.ti @t1 @t39) @t39))) % 8.94/9.17 (assume @p15 (forall @t20 (= (tptp.ti (tptp.fun @t43 @t44) @t41) @t41))) % 8.94/9.17 (assume @p16 (forall @t20 (= (tptp.ti (tptp.fun @t47 @t49) @t45) @t45))) % 8.94/9.17 (assume @p17 (forall @t58 (= (tptp.ti @t57 @t50) @t50))) % 8.94/9.17 (assume @p18 (forall @t58 (= (tptp.ti @t57 @t59) @t59))) % 8.94/9.17 (assume @p19 (forall @t20 (=> @t61 (= (tptp.ti @t3 @t60) @t60)))) % 8.94/9.17 (assume @p20 (forall @t20 (= (tptp.ti @t26 @t62) @t62))) % 8.94/9.17 (assume @p21 (forall @t20 (= (tptp.ti @t64 @t63) @t63))) % 8.94/9.17 (assume @p22 (forall @t20 (= (tptp.ti @t22 @t65) @t65))) % 8.94/9.17 (assume @p23 (= (tptp.ti tptp.bool tptp.fFalse) tptp.fFalse)) % 8.94/9.17 (assume @p24 (= (tptp.ti @t66 tptp.fNot) tptp.fNot)) % 8.94/9.17 (assume @p25 (= (tptp.ti tptp.bool tptp.fTrue) tptp.fTrue)) % 8.94/9.17 (assume @p26 (= (tptp.ti @t67 tptp.fconj) tptp.fconj)) % 8.94/9.17 (assume @p27 (= (tptp.ti @t67 tptp.fdisj) tptp.fdisj)) % 8.94/9.17 (assume @p28 (forall @t40 (= (tptp.ti (tptp.fun @t1 @t69) @t68) @t68))) % 8.94/9.17 (assume @p29 (= (tptp.ti @t67 tptp.fimplies) tptp.fimplies)) % 8.94/9.17 (assume @p30 (forall @t73 (= (tptp.hAPP @t1 @t2 (tptp.ti @t5 @t71) @t70) @t72))) % 8.94/9.17 (assume @p31 (forall @t73 (= (tptp.hAPP @t1 @t2 @t71 (tptp.ti @t1 @t70)) @t72))) % 8.94/9.17 (assume @p32 @t75) % 8.94/9.17 (assume @p33 (forall (@list @t71) (= (tptp.hBOOL (tptp.ti tptp.bool @t71)) (tptp.hBOOL @t71)))) % 8.94/9.17 (assume @p34 (forall @t20 (= (tptp.ti @t77 @t76) @t76))) % 8.94/9.17 (assume @p35 (= (tptp.ti @t79 tptp.g) tptp.g)) % 8.94/9.17 (assume @p36 (= (tptp.ti @t80 tptp.p) tptp.p)) % 8.94/9.17 (assume @p37 (= (tptp.ti @t46 tptp.b) tptp.b)) % 8.94/9.17 (assume @p38 (= (tptp.ti tptp.com tptp.c) tptp.c)) % 8.94/9.17 (assume @p39 (forall (@list @t3 @t82) (tptp.hBOOL (tptp.hAPP @t43 tptp.bool @t83 @t81)))) % 8.94/9.17 (assume @p40 (forall (@list @t3 @t89 @t87 @t85 @t88 @t86 @t84) (= (= (tptp.hAPP @t47 @t42 (tptp.hAPP tptp.com @t48 (tptp.hAPP @t47 @t49 @t45 @t89) @t87) @t85) (tptp.hAPP @t47 @t42 (tptp.hAPP tptp.com @t48 (tptp.hAPP @t47 @t49 @t45 @t88) @t86) @t84)) (and (= @t89 @t88) (= @t87 @t86) (= @t85 @t84))))) % 8.94/9.17 (assume @p41 (forall (@list @t3 @t82 @t92 @t90) (=> (tptp.hBOOL (tptp.hAPP @t43 tptp.bool (tptp.hAPP @t43 @t44 @t41 @t92) @t90)) (=> (tptp.hBOOL (tptp.hAPP @t43 tptp.bool @t83 @t92)) @t91)))) % 8.94/9.17 (assume @p42 (forall (@list @t3 @t90 @t82 @t93) (=> (tptp.hBOOL (tptp.hAPP @t43 tptp.bool @t83 (tptp.hAPP @t43 @t43 @t96 @t81))) (=> @t91 (tptp.hBOOL (tptp.hAPP @t43 tptp.bool @t83 (tptp.hAPP @t43 @t43 @t96 @t90))))))) % 8.94/9.17 (assume @p43 (forall (@list @t3 @t82 @t100 @t98 @t97 @t99) (=> (=> (tptp.hBOOL @t99) @t109) (tptp.hBOOL (tptp.hAPP @t43 tptp.bool @t83 (tptp.hAPP @t43 @t43 (tptp.hAPP @t42 @t95 @t94 (tptp.hAPP @t47 @t42 (tptp.hAPP tptp.com @t48 (tptp.hAPP @t47 @t49 @t45 (tptp.hAPP tptp.bool @t47 (tptp.hAPP @t106 (tptp.fun tptp.bool @t47) (tptp.combc @t3 tptp.bool @t46) (tptp.hAPP @t104 @t106 (tptp.hAPP (tptp.fun @t101 @t105) (tptp.fun @t104 @t106) (tptp.combb @t101 @t105 @t3) (tptp.combc tptp.state tptp.bool tptp.bool)) (tptp.hAPP @t47 @t104 (tptp.hAPP @t102 (tptp.fun @t47 @t104) (tptp.combb @t46 @t101 @t3) @t103) @t100))) @t99)) @t98) @t97)) @t81)))))) % 8.94/9.17 (assume @p44 (forall (@list @t3 @t82 @t98 @t97 @t100) (=> (forall @t116 (=> @t115 (tptp.hBOOL (tptp.hAPP @t43 tptp.bool @t83 (tptp.hAPP @t43 @t43 (tptp.hAPP @t42 @t95 @t94 (tptp.hAPP @t47 @t42 (tptp.hAPP tptp.com @t48 (tptp.hAPP @t47 @t49 @t45 (tptp.hAPP @t46 @t47 @t112 (tptp.hAPP tptp.state @t46 (tptp.hAPP @t114 @t114 (tptp.combc tptp.state tptp.state tptp.bool) (tptp.fequal tptp.state)) @t113))) @t98) (tptp.hAPP @t46 @t47 @t112 @t111))) @t81))))) @t109))) % 8.94/9.17 (assume @p45 (forall (@list @t3 @t97 @t82 @t100 @t98 @t117) (=> (tptp.hBOOL (tptp.hAPP @t43 tptp.bool @t83 (tptp.hAPP @t43 @t43 (tptp.hAPP @t42 @t95 @t94 (tptp.hAPP @t47 @t42 @t108 @t117)) @t81))) (=> (forall @t116 (=> (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP @t3 @t46 @t117 @t110) @t113)) (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool @t111 @t113)))) @t109)))) % 8.94/9.17 (assume @p46 (forall (@list @t3 @t100 @t82 @t118 @t98 @t97) (=> (tptp.hBOOL (tptp.hAPP @t43 tptp.bool @t83 (tptp.hAPP @t43 @t43 (tptp.hAPP @t42 @t95 @t94 (tptp.hAPP @t47 @t42 @t119 @t97)) @t81))) (=> (forall @t116 (=> @t115 (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP @t3 @t46 @t118 @t110) @t113)))) @t109)))) % 8.94/9.17 (assume @p47 (forall (@list @t3 @t97 @t100 @t82 @t118 @t98 @t117) (=> (tptp.hBOOL (tptp.hAPP @t43 tptp.bool @t83 (tptp.hAPP @t43 @t43 (tptp.hAPP @t42 @t95 @t94 (tptp.hAPP @t47 @t42 @t119 @t117)) @t81))) (=> (forall @t116 (=> @t115 (forall @t124 (=> (forall @t123 (=> (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP @t3 @t46 @t118 @t122) @t113)) (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP @t3 @t46 @t117 @t122) @t120)))) @t121)))) @t109)))) % 8.94/9.17 (assume @p48 (forall @t135 (=> @t134 (=> (not @t132) @t128)))) % 8.94/9.17 (assume @p49 (forall @t139 (=> (=> (not @t138) @t132) @t137))) % 8.94/9.17 (assume @p50 (forall @t141 (not (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t127 @t140))))) % 8.94/9.17 (assume @p51 (forall @t141 (= (tptp.hAPP @t18 @t18 @t62 @t145) @t143))) % 8.94/9.17 (assume @p52 (forall @t141 (= (tptp.hAPP @t18 @t18 @t62 @t148) @t143))) % 8.94/9.17 (assume @p53 (forall @t157 (and (=> @t155 (= @t154 @t143)) (=> @t156 (= @t154 @t140))))) % 8.94/9.17 (assume @p54 (forall @t157 (and (=> @t155 (= @t158 @t143)) (=> @t156 (= @t158 @t140))))) % 8.94/9.17 (assume @p55 (forall @t163 (= (tptp.hAPP @t51 @t3 (tptp.hAPP @t56 @t52 @t59 @t159) @t162) @t160))) % 8.94/9.17 (assume @p56 @t169) % 8.94/9.17 (assume @p57 (forall @t175 (= (= @t174 @t140) @t173))) % 8.94/9.17 (assume @p58 (forall (@list @t3 @t98) (not (tptp.hBOOL (tptp.hAPP @t18 tptp.bool (tptp.hAPP @t3 @t19 @t76 @t98) @t140))))) % 8.94/9.17 (assume @p59 (forall @t175 (= (= @t140 @t174) @t173))) % 8.94/9.17 (assume @p60 (forall @t179 (= (exists @t172 @t178) @t176))) % 8.94/9.17 (assume @p61 (forall @t179 (= (forall @t172 (not @t178)) @t166))) % 8.94/9.17 (assume @p62 (forall @t20 (= @t140 (tptp.hAPP @t18 @t18 @t62 (tptp.hAPP tptp.bool @t18 (tptp.combk tptp.bool @t3) tptp.fFalse))))) % 8.94/9.17 (assume @p63 (forall @t168 (=> @t128 (= @t180 @t165)))) % 8.94/9.17 (assume @p64 (forall @t139 (=> @t138 @t137))) % 8.94/9.17 (assume @p65 (forall (@list @t3 @t136 @t181 @t125) (=> @t186 (=> (not (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t184 @t136))) (= (= @t183 (tptp.hAPP @t18 @t18 @t182 @t136)) (= @t165 (tptp.ti @t18 @t136))))))) % 8.94/9.17 (assume @p66 (forall (@list @t3 @t189 @t125 @t181) (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t192 @t181)) (or (= @t190 @t188) @t187)))) % 8.94/9.17 (assume @p67 (forall @t135 (= @t134 (or @t132 @t128)))) % 8.94/9.17 (assume @p68 (forall (@list @t3 @t181 @t189 @t125) (= (tptp.hAPP @t18 @t18 @t182 @t192) (tptp.hAPP @t18 @t18 @t191 @t183)))) % 8.94/9.17 (assume @p69 (forall @t193 (= (tptp.hAPP @t18 @t18 @t182 @t183) @t183))) % 8.94/9.17 (assume @p70 (forall @t195 (= (tptp.hAPP @t18 @t18 @t142 @t174) (tptp.hAPP @t18 @t18 @t62 (tptp.hAPP @t18 @t18 (tptp.hAPP @t150 @t26 @t153 (tptp.hAPP @t18 @t150 (tptp.hAPP @t67 @t151 @t149 tptp.fimplies) (tptp.hAPP @t18 @t18 (tptp.hAPP @t66 @t26 @t194 tptp.fNot) @t148))) @t100))))) % 8.94/9.17 (assume @p71 (forall @t199 (= @t198 (tptp.hAPP @t18 @t18 @t62 (tptp.hAPP @t18 @t18 (tptp.hAPP @t150 @t26 @t153 (tptp.hAPP @t18 @t150 @t197 @t148)) (tptp.hAPP @t18 @t18 @t196 @t136)))))) % 8.94/9.17 (assume @p72 (forall @t199 (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t127 @t198)))) % 8.94/9.17 (assume @p73 (forall (@list @t3 @t170 @t200) (= (tptp.hAPP @t18 @t18 @t201 @t200) (tptp.hAPP @t18 @t18 @t62 (tptp.hAPP @t18 @t18 (tptp.hAPP @t150 @t26 @t153 (tptp.hAPP @t18 @t150 @t197 (tptp.hAPP @t3 @t18 @t147 @t170))) (tptp.hAPP @t18 @t18 @t196 @t200)))))) % 8.94/9.17 (assume @p74 (forall (@list @t3 @t126 @t129) (=> (= @t143 @t202) @t132))) % 8.94/9.17 (assume @p75 (forall @t205 (=> @t204 @t203))) % 8.94/9.17 (assume @p76 (forall (@list @t3 @t126 @t129 @t98 @t207) (= (= (tptp.hAPP @t18 @t18 @t142 @t202) (tptp.hAPP @t18 @t18 (tptp.hAPP @t3 @t26 @t63 @t98) (tptp.hAPP @t18 @t18 (tptp.hAPP @t3 @t26 @t63 @t207) @t140))) (or (and (= @t131 @t206) (= @t130 @t208)) (and (= @t131 @t208) (= @t130 @t206)))))) % 8.94/9.17 (assume @p77 (forall @t205 (= @t204 @t203))) % 8.94/9.17 (assume @p78 (forall @t168 (not (= @t180 @t140)))) % 8.94/9.17 (assume @p79 (forall @t168 (not (= @t140 @t180)))) % 8.94/9.17 (assume @p80 (forall @t210 (= (tptp.hAPP @t18 @t3 @t65 @t209) @t188))) % 8.94/9.17 (assume @p81 (forall @t163 (= (tptp.hAPP @t51 @t3 (tptp.hAPP @t56 @t52 @t50 @t159) @t162) @t160))) % 8.94/9.17 (assume @p82 (forall @t58 (=> @t61 (forall (@list @t181) (= (tptp.hAPP @t2 @t3 (tptp.bot_bot (tptp.fun @t2 @t3)) @t181) @t60))))) % 8.94/9.17 (assume @p83 (forall @t33 (=> (tptp.bot @t2) (forall @t172 (= (tptp.hAPP @t3 @t2 (tptp.bot_bot @t8) @t170) (tptp.bot_bot @t2)))))) % 8.94/9.17 (assume @p84 (forall (@list @t3 @t82 @t100) (tptp.hBOOL (tptp.hAPP @t43 tptp.bool @t83 (tptp.hAPP @t43 @t43 (tptp.hAPP @t42 @t95 @t94 (tptp.hAPP @t47 @t42 (tptp.hAPP tptp.com @t48 @t107 tptp.skip) @t100)) @t81))))) % 8.94/9.17 (assume @p85 (forall (@list @t3 @t207 @t211 @t82 @t100 @t98 @t97) (=> @t109 (=> (tptp.hBOOL (tptp.hAPP @t43 tptp.bool @t83 (tptp.hAPP @t43 @t43 (tptp.hAPP @t42 @t95 @t94 (tptp.hAPP @t47 @t42 (tptp.hAPP tptp.com @t48 (tptp.hAPP @t47 @t49 @t45 @t97) @t207) @t211)) @t81))) (tptp.hBOOL (tptp.hAPP @t43 tptp.bool @t83 (tptp.hAPP @t43 @t43 (tptp.hAPP @t42 @t95 @t94 (tptp.hAPP @t47 @t42 (tptp.hAPP tptp.com @t48 @t107 (tptp.hAPP tptp.com tptp.com (tptp.hAPP tptp.com @t16 tptp.semi @t98) @t207)) @t211)) @t81))))))) % 8.94/9.17 (assume @p86 (forall (@list @t3 @t189) (not (forall (@list @t214 @t213 @t212) (not (= @t189 (tptp.hAPP @t47 @t42 (tptp.hAPP tptp.com @t48 (tptp.hAPP @t47 @t49 @t45 @t214) @t213) @t212))))))) % 8.94/9.17 (assume @p87 (forall @t193 (=> @t185 (not (forall @t216 (=> (= @t165 (tptp.hAPP @t18 @t18 @t182 @t215)) (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t184 @t215)))))))) % 8.94/9.17 (assume @p88 (forall @t220 (not (= @t219 tptp.skip)))) % 8.94/9.17 (assume @p89 (forall @t220 (not (= tptp.skip @t219)))) % 8.94/9.17 (assume @p90 (forall (@list @t3 @t221) (= (tptp.hAPP @t18 @t3 @t65 @t221) (tptp.hAPP @t18 @t3 @t38 (tptp.hAPP @t146 @t18 (tptp.hAPP @t19 (tptp.fun @t146 @t18) (tptp.combb @t18 tptp.bool @t3) (tptp.hAPP @t18 @t19 (tptp.fequal @t18) @t221)) (tptp.hAPP @t18 @t146 (tptp.hAPP @t64 (tptp.fun @t18 @t146) (tptp.combc @t3 @t18 @t18) @t63) @t140)))))) % 8.94/9.17 (assume @p91 (forall @t168 (=> @t128 (exists @t216 (and (= @t165 (tptp.hAPP @t18 @t18 @t142 @t215)) (not (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t127 @t215)))))))) % 8.94/9.17 (assume @p92 (forall (@list @t225 @t223 @t224 @t222) (= (= (tptp.hAPP tptp.com tptp.com (tptp.hAPP tptp.com @t16 tptp.semi @t225) @t223) (tptp.hAPP tptp.com tptp.com (tptp.hAPP tptp.com @t16 tptp.semi @t224) @t222)) (and (= @t225 @t224) (= @t223 @t222))))) % 8.94/9.17 (assume @p93 (forall @t210 (= (tptp.hAPP @t18 @t3 @t38 (tptp.hAPP @t3 @t18 @t144 @t181)) @t188))) % 8.94/9.17 (assume @p94 (forall @t141 (= (tptp.hAPP @t18 @t3 @t38 @t148) @t131))) % 8.94/9.17 (assume @p95 (forall (@list @t3 @t181 @t189 @t100) (and (=> @t227 (= @t188 @t226)) (=> (not @t227) (= @t190 @t226))))) % 8.94/9.17 (assume @p96 (forall @t179 (=> (forall @t229 (not (tptp.hBOOL (tptp.hAPP @t18 tptp.bool (tptp.hAPP @t3 @t19 @t76 @t228) @t125)))) @t166))) % 8.94/9.17 (assume @p97 (forall @t157 (=> @t155 (=> @t233 @t231)))) % 8.94/9.17 (assume @p98 (forall @t157 (=> @t155 (=> @t233 @t234)))) % 8.94/9.17 (assume @p99 (forall @t195 (=> @t235 (=> @t155 @t231)))) % 8.94/9.17 (assume @p100 (forall @t175 (=> @t235 @t234))) % 8.94/9.17 (assume @p101 @t251) % 8.94/9.17 (assume @p102 (forall @t179 (= @t176 (exists (@list @t170 @t215) (and (= @t165 (tptp.hAPP @t18 @t18 @t201 @t215)) (not (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t177 @t215)))))))) % 8.94/9.17 (assume @p103 (forall (@list @t3 @t252 @t126 @t129) (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t18 @t18 @t253 @t143) @t129)) @t132))) % 8.94/9.17 (assume @p104 (forall @t256 (=> @t255 (= (tptp.hAPP @t18 @t3 @t254 @t209) @t188)))) % 8.94/9.17 (assume @p105 (forall (@list @t3 @t170) (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t140 @t170)) (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t177 @t140))))) % 8.94/9.17 (assume @p106 (forall (@list @t3 @t252 @t181) (not (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t18 @t18 @t253 @t140) @t181))))) % 8.94/9.17 (assume @p107 (forall (@list @t3 @t252 @t125 @t181) (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t257 @t181)) @t176))) % 8.94/9.17 (assume @p108 (forall (@list @t3 @t252 @t126 @t125 @t181) (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t18 @t18 (tptp.hAPP @t3 @t26 @t258 @t126) @t125) @t181)) (=> @t164 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t18 @t18 @t253 @t180) @t181)))))) % 8.94/9.17 (assume @p109 (forall @t264 (=> @t255 (=> @t263 (=> @t186 @t262))))) % 8.94/9.17 (assume @p110 (forall @t267 (= @t266 (tptp.hAPP @t18 @t3 @t38 @t257)))) % 8.94/9.17 (assume @p111 (forall (@list @t3 @t97 @t100) (=> (or @t269 @t268) (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t17 (tptp.hAPP @t18 @t18 @t62 (tptp.hAPP @t18 @t18 (tptp.hAPP @t150 @t26 @t153 (tptp.hAPP @t18 @t150 @t152 @t100)) @t97))))))) % 8.94/9.17 (assume @p112 (forall @t20 (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t17 @t140)))) % 8.94/9.17 (assume @p113 (forall @t168 (=> @t263 @t270))) % 8.94/9.17 (assume @p114 (forall (@list @t3 @t2 @t252 @t271) (=> (forall @t172 (= (tptp.hAPP @t3 @t2 @t252 @t170) (tptp.hAPP @t3 @t2 @t271 @t170))) (= (tptp.ti @t8 @t252) (tptp.ti @t8 @t271))))) % 8.94/9.17 (assume @p115 @t272) % 8.94/9.17 (assume @p116 @t273) % 8.94/9.17 (assume @p117 (forall @t274 (=> @t255 (=> @t263 (= @t259 @t266))))) % 8.94/9.17 (assume @p118 (forall (@list @t2 @t3 @t252 @t275) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t277 @t275)))) % 8.94/9.17 (assume @p119 (forall (@list @t2 @t3 @t252 @t275 @t181) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t277 @t181)) (= (tptp.ti @t2 @t181) @t278)))) % 8.94/9.17 (assume @p120 (forall (@list @t2 @t3 @t252 @t275 @t189 @t181 @t125) (=> @t186 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t279 @t189)) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t18 @t28 @t276 @t183) (tptp.hAPP @t2 @t2 (tptp.hAPP @t3 @t31 @t252 @t181) @t189))))))) % 8.94/9.17 (assume @p121 (forall @t20 (=> (tptp.finite_finite @t3) (forall (@list @t125) @t263)))) % 8.94/9.17 (assume @p122 (forall (@list @t3 @t100 @t97) (= (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t17 (tptp.hAPP @t18 @t18 @t62 (tptp.hAPP @t18 @t18 (tptp.hAPP @t150 @t26 @t153 (tptp.hAPP @t18 @t150 @t197 @t100)) @t97)))) (and @t269 @t268)))) % 8.94/9.17 (assume @p123 (forall @t168 (= @t270 @t263))) % 8.94/9.17 (assume @p124 (forall (@list @t3 @t126 @t271 @t252) (=> (= @t271 @t265) (= (tptp.hAPP @t18 @t3 @t271 @t143) @t131)))) % 8.94/9.17 (assume @p125 (forall (@list @t3 @t252 @t126) (= (tptp.hAPP @t18 @t3 @t265 @t143) @t131))) % 8.94/9.17 (assume @p126 (forall @t274 (=> @t255 (=> @t263 (=> @t176 (=> (forall (@list @t170 @t228) (tptp.hBOOL (tptp.hAPP @t18 tptp.bool (tptp.hAPP @t3 @t19 @t76 (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t23 @t252 @t170) @t228)) (tptp.hAPP @t18 @t18 @t201 (tptp.hAPP @t18 @t18 (tptp.hAPP @t3 @t26 @t63 @t228) @t140))))) (tptp.hBOOL (tptp.hAPP @t18 tptp.bool (tptp.hAPP @t3 @t19 @t76 @t259) @t125)))))))) % 8.94/9.17 (assume @p127 (forall (@list @t3 @t252 @t126 @t221 @t181) (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t18 @t18 @t253 @t285) @t181)) (not (forall (@list @t281 @t280) (=> (= @t285 @t284) (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t283 @t181)) @t282))))))) % 8.94/9.17 (assume @p128 (forall @t267 (=> @t263 (=> @t176 (exists @t287 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t257 @t286))))))) % 8.94/9.17 (assume @p129 (forall @t294 (=> @t293 (=> (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t100 @t140)) (=> (forall @t292 (=> @t291 @t290)) @t288))))) % 8.94/9.17 (assume @p130 (forall @t141 (= (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t17 @t126)) (or (= @t295 @t140) (exists (@list @t280 @t281) (and (= @t295 @t284) (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t17 @t280)))))))) % 8.94/9.17 (assume @p131 (forall (@list @t2 @t3 @t252 @t275 @t125) (=> @t263 (exists @t287 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t279 @t286)))))) % 8.94/9.17 (assume @p132 (forall (@list @t3 @t252 @t297 @t296) (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t18 @t18 @t253 @t297) @t296)) (exists (@list @t281 @t280 @t170) (and (= @t298 @t284) (= (tptp.ti @t3 @t296) @t232) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t283 @t170)) (not @t282)))))) % 8.94/9.17 (assume @p133 (forall (@list @t2 @t3 @t252 @t275 @t297 @t296) (= (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t18 @t28 @t276 @t297) @t296)) (or (and (= @t298 @t140) (= @t299 @t278)) (exists (@list @t170 @t280 @t228) (and (= @t298 (tptp.hAPP @t18 @t18 @t201 @t280)) (= @t299 (tptp.hAPP @t2 @t2 (tptp.hAPP @t3 @t31 @t252 @t170) @t228)) (not (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t177 @t280))) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t18 @t28 @t276 @t280) @t228)))))))) % 8.94/9.17 (assume @p134 (forall @t264 (=> @t300 (=> @t263 @t262)))) % 8.94/9.17 (assume @p135 (forall @t294 (=> @t293 (=> (not (= (tptp.ti @t18 @t254) @t140)) (=> (forall @t172 (tptp.hBOOL (tptp.hAPP @t18 tptp.bool @t100 (tptp.hAPP @t18 @t18 @t201 @t140)))) (=> (forall @t292 (=> @t291 (=> (not (= (tptp.ti @t18 @t289) @t140)) @t290))) @t288)))))) % 8.94/9.17 (assume @p136 (forall @t256 (=> @t300 (= (tptp.hAPP @t3 @t3 @t260 @t181) @t188)))) % 8.94/9.17 (assume @p137 (forall @t264 (=> @t300 (=> @t263 (=> @t185 (= @t261 @t259)))))) % 8.94/9.17 (assume @p138 (forall @t304 (=> (and (tptp.finite_finite @t301) (tptp.finite_finite @t302)) (tptp.finite_finite @t303)))) % 8.94/9.17 (assume @p139 (forall @t304 (=> (tptp.bot @t301) (tptp.bot @t303)))) % 8.94/9.17 (assume @p140 (tptp.finite_finite tptp.bool)) % 8.94/9.17 (assume @p141 (tptp.bot tptp.bool)) % 8.94/9.17 (assume @p142 (forall (@list @t306 @t305) (= (tptp.ti @t306 @t307) @t307))) % 8.94/9.17 (assume @p143 (forall @t312 (or (not @t311) @t310))) % 8.94/9.17 (assume @p144 (forall @t312 (or @t309 @t311))) % 8.94/9.17 (assume @p145 (forall @t316 (= (tptp.hAPP @t1 @t2 (tptp.hAPP @t6 @t5 (tptp.hAPP @t8 @t7 @t4 @t308) @t314) @t313) (tptp.hAPP @t3 @t2 @t308 @t315)))) % 8.94/9.17 (assume @p146 (forall @t316 (= (tptp.hAPP @t1 @t2 (tptp.hAPP @t3 @t5 (tptp.hAPP @t11 @t10 @t9 @t308) @t314) @t313) (tptp.hAPP @t3 @t2 @t317 @t314)))) % 8.94/9.17 (assume @p147 @t318) % 8.94/9.17 (assume @p148 (forall @t316 (= (tptp.hAPP @t1 @t2 (tptp.hAPP @t6 @t5 (tptp.hAPP @t11 @t7 @t15 @t308) @t314) @t313) (tptp.hAPP @t3 @t2 @t317 @t315)))) % 8.94/9.17 (assume @p149 (forall @t322 (or @t310 @t321 @t319))) % 8.94/9.17 (assume @p150 (forall @t324 (or @t323 @t309))) % 8.94/9.17 (assume @p151 (forall @t324 (or @t323 @t320))) % 8.94/9.17 (assume @p152 (forall @t322 (or @t310 @t325))) % 8.94/9.17 (assume @p153 (forall @t324 (or @t321 @t325))) % 8.94/9.17 (assume @p154 (forall @t324 (or (not @t325) @t309 @t320))) % 8.94/9.17 (assume @p155 (not (tptp.hBOOL tptp.fFalse))) % 8.94/9.17 (assume @p156 (forall @t312 (or (= @t326 tptp.fTrue) (= @t326 tptp.fFalse)))) % 8.94/9.17 (assume @p157 (forall @t331 (or (not @t330) @t329))) % 8.94/9.17 (assume @p158 (forall @t331 (or (not @t329) @t330))) % 8.94/9.17 (assume @p159 (forall @t322 (or @t309 @t332))) % 8.94/9.17 (assume @p160 (forall @t324 (or @t321 @t332))) % 8.94/9.17 (assume @p161 (forall @t324 (or (not @t332) @t310 @t320))) % 8.94/9.17 (assume @p162 (not @t347)) % 8.94/9.17 (assume @p163 true) % 8.94/9.17 (step @p164 :rule evaluate :args ((= true false))) % 8.94/9.17 (step @p165 :rule bool-impl-elim :args (@t348 @t164)) % 8.94/9.17 (step @p166 :rule cong :premises (@p165) :args ((forall @t168 (=> @t348 @t164)))) % 8.94/9.17 (step @p167 :rule refl :args (@t164)) % 8.94/9.17 (step @p168 :rule eq-symm :args (@t165 @t140)) % 8.94/9.17 (step @p169 :rule cong :premises (@p168 @p167) :args (@t167)) % 8.94/9.17 (step @p170 :rule cong :premises (@p169) :args (@t169)) % 8.94/9.17 (step @p171 :rule trans :premises (@p170 @p166)) % 8.94/9.17 (step @p172 :rule eq_resolve :premises (@p56 @p171)) % 8.94/9.17 (step @p173 :rule instantiate :premises (@p172) :args (@t356)) % 8.94/9.17 (step @p174 :rule eq-symm :args (@t357 @t358)) % 8.94/9.17 (step @p175 :rule refl :args (@t272)) % 8.94/9.17 (step @p176 :rule cong :premises (@p175 @p174) :args ((=> @t272 @t359))) % 8.94/9.17 (assume-push @p268 @t272) % 8.94/9.17 (step @p178 :rule instantiate :premises (@p115) :args (@t356)) % 8.94/9.17 (step-pop @p269 :rule scope :premises (@p178)) % 8.94/9.17 (step @p179 :rule process_scope :premises (@p269) :args (@t359)) % 8.94/9.17 (step @p181 :rule eq_resolve :premises (@p179 @p176)) % 8.94/9.17 (step @p182 :rule implies_elim :premises (@p181)) % 8.94/9.17 (step @p183 :rule chain_m_resolution :premises (@p182 @p115) :args (@t360 @t361 (@list @t272))) % 8.94/9.17 (step @p184 :rule bool-impl-elim :args (@t365 @t109)) % 8.94/9.17 (step @p185 :rule cong :premises (@p184) :args ((forall @t250 (=> @t365 @t109)))) % 8.94/9.17 (step @p186 :rule refl :args (@t109)) % 8.94/9.17 (step @p187 :rule bool-impl-elim :args (@t115 @t364)) % 8.94/9.17 (step @p188 :rule cong :premises (@p187) :args ((forall @t116 (=> @t115 @t364)))) % 8.94/9.17 (step @p189 :rule bool-and-de-morgan :args (@t243 @t363 true)) % 8.94/9.17 (step @p190 :rule cong :premises (@p189) :args (@t367)) % 8.94/9.17 (step @p191 :rule cong :premises (@p190) :args (@t368)) % 8.94/9.17 (step @p192 :rule exists-elim :args ((= (exists @t245 @t366) @t368))) % 8.94/9.17 (step @p193 :rule trans :premises (@p192 @p191)) % 8.94/9.17 (step @p194 :rule bool-impl-elim :args (@t362 @t121)) % 8.94/9.17 (step @p195 :rule cong :premises (@p194) :args ((forall @t124 (=> @t362 @t121)))) % 8.94/9.17 (step @p196 :rule refl :args (@t121)) % 8.94/9.17 (step @p197 :rule bool-impl-elim :args (@t239 @t237)) % 8.94/9.17 (step @p198 :rule cong :premises (@p197) :args (@t240)) % 8.94/9.17 (step @p199 :rule cong :premises (@p198 @p196) :args (@t241)) % 8.94/9.17 (step @p200 :rule cong :premises (@p199) :args (@t242)) % 8.94/9.17 (step @p201 :rule trans :premises (@p200 @p195)) % 8.94/9.17 (step @p202 :rule refl :args (@t243)) % 8.94/9.17 (step @p203 :rule nary_cong :premises (@p202 @p201) :args (@t244)) % 8.94/9.17 (step @p204 :rule cong :premises (@p203) :args (@t246)) % 8.94/9.17 (step @p205 :rule trans :premises (@p204 @p193)) % 8.94/9.17 (step @p206 :rule refl :args (@t115)) % 8.94/9.17 (step @p207 :rule cong :premises (@p206 @p205) :args (@t247)) % 8.94/9.17 (step @p208 :rule cong :premises (@p207) :args (@t248)) % 8.94/9.17 (step @p209 :rule trans :premises (@p208 @p188)) % 8.94/9.17 (step @p210 :rule cong :premises (@p209 @p186) :args (@t249)) % 8.94/9.17 (step @p211 :rule cong :premises (@p210) :args (@t251)) % 8.94/9.17 (step @p212 :rule trans :premises (@p211 @p185)) % 8.94/9.17 (step @p213 :rule eq_resolve :premises (@p101 @p212)) % 8.94/9.19 (step @p214 :rule instantiate :premises (@p213) :args ((@list tptp.x_a @t337 tptp.g tptp.c @t340))) % 8.94/9.19 (step @p215 :rule cnf_or_pos :args (@t370)) % 8.94/9.19 (step @p216 :rule reordering :premises (@p215) :args ((or @t347 @t369 (not @t370)))) % 8.94/9.19 (step @p217 :rule chain_m_resolution :premises (@p216 @p162 @p214) :args (@t369 (@list true false) (@list @t347 @t370))) % 8.94/9.19 (step @p218 :rule skolemize :premises (@p217)) % 8.94/9.19 (step @p219 :rule bool-double-not-elim :args (@t358)) % 8.94/9.19 (step @p220 :rule refl :args (@t372)) % 8.94/9.19 (step @p221 :rule nary_cong :premises (@p220 @p219) :args ((or @t372 (not @t371)))) % 8.94/9.19 (step @p222 :rule cnf_or_neg :args (@t372 0)) % 8.94/9.19 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 8.94/9.19 (step @p224 :rule reordering :premises (@p223) :args ((or @t358 @t372))) % 8.94/9.19 (step @p225 :rule chain_m_resolution :premises (@p224 @p218) :args (@t358 (@list true) (@list @t372))) % 8.94/9.19 (step @p226 :rule cnf_equiv_pos1 :args (@t360)) % 8.94/9.19 (step @p227 :rule reordering :premises (@p226) :args ((or @t371 @t357 (not @t360)))) % 8.94/9.19 (step @p228 :rule chain_m_resolution :premises (@p227 @p225 @p183) :args (@t357 @t373 (@list @t358 @t360))) % 8.94/9.19 (step @p229 :rule cnf_or_pos :args (@t376)) % 8.94/9.19 (step @p230 :rule reordering :premises (@p229) :args ((or @t374 @t375 (not @t376)))) % 8.94/9.19 (step @p231 :rule chain_m_resolution :premises (@p230 @p228 @p173) :args (@t375 @t373 (@list @t357 @t376))) % 8.94/9.19 (step @p232 :rule false_intro :premises (@p231)) % 8.94/9.19 (step @p233 :rule eq-symm :args (@t74 @t72)) % 8.94/9.19 (step @p234 :rule cong :premises (@p233) :args (@t75)) % 8.94/9.19 (step @p235 :rule eq_resolve :premises (@p32 @p234)) % 8.94/9.19 (step @p236 :rule instantiate :premises (@p235) :args ((@list @t46 tptp.x_a @t340 @t353))) % 8.94/9.19 (step @p237 :rule eq-symm :args (@t354 @t377)) % 8.94/9.19 (step @p238 :rule refl :args (@t318)) % 8.94/9.19 (step @p239 :rule cong :premises (@p238 @p237) :args ((=> @t318 @t378))) % 8.94/9.19 (assume-push @p270 @t318) % 8.94/9.19 (step @p241 :rule instantiate :premises (@p147) :args ((@list tptp.x_a @t46 @t339 @t353))) % 8.94/9.19 (step-pop @p271 :rule scope :premises (@p241)) % 8.94/9.19 (step @p242 :rule process_scope :premises (@p271) :args (@t378)) % 8.94/9.19 (step @p244 :rule eq_resolve :premises (@p242 @p239)) % 8.94/9.19 (step @p245 :rule implies_elim :premises (@p244)) % 8.94/9.19 (step @p246 :rule chain_m_resolution :premises (@p245 @p147) :args ((= @t377 @t354) @t361 (@list @t318))) % 8.94/9.19 (step @p247 :rule trans :premises (@p246 @p236)) % 8.94/9.19 (step @p248 :rule instantiate :premises (@p235) :args ((@list @t46 tptp.bool @t338 tptp.fFalse))) % 8.94/9.19 (step @p249 :rule instantiate :premises (@p62) :args ((@list tptp.state))) % 8.94/9.19 (step @p250 :rule symm :premises (@p249)) % 8.94/9.19 (step @p251 :rule eq-symm :args (@t379 @t377)) % 8.94/9.19 (step @p252 :rule refl :args (@t273)) % 8.94/9.19 (step @p253 :rule cong :premises (@p252 @p251) :args ((=> @t273 @t380))) % 8.94/9.19 (assume-push @p272 @t273) % 8.94/9.19 (step @p255 :rule instantiate :premises (@p116) :args ((@list tptp.state @t339))) % 8.94/9.19 (step-pop @p273 :rule scope :premises (@p255)) % 8.94/9.19 (step @p256 :rule process_scope :premises (@p273) :args (@t380)) % 8.94/9.19 (step @p258 :rule eq_resolve :premises (@p256 @p253)) % 8.94/9.19 (step @p259 :rule implies_elim :premises (@p258)) % 8.94/9.19 (step @p260 :rule chain_m_resolution :premises (@p259 @p116) :args ((= @t377 @t379) @t361 (@list @t273))) % 8.94/9.19 (step @p261 :rule trans :premises (@p248 @p260 @p250)) % 8.94/9.19 (step @p262 :rule symm :premises (@p261)) % 8.94/9.19 (step @p263 :rule trans :premises (@p262 @p248 @p247)) % 8.94/9.19 (step @p264 :rule true_intro :premises (@p263)) % 8.94/9.19 (step @p265 :rule symm :premises (@p264)) % 8.94/9.19 (step @p266 :rule trans :premises (@p265 @p232)) % 8.94/9.19 (step @p267 false :rule eq_resolve :premises (@p266 @p164)) % 8.94/9.19 ) % 8.94/9.19 % SZS output end Proof % 8.94/9.19 % cvc5 exiting %------------------------------------------------------------------------------