%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP015_2 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:24:37 AM UTC 2026 % Result : Theorem 145.78s 146.07s % Output : Proof 126.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.14 % Problem : ITP015_2 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.09/0.15 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n022.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 03:53:38 EDT 2026 % 0.17/0.36 % CPUTime : % 0.27/0.53 %----Proving TF0_NAR, FOF, or CNF % 145.78/146.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 145.78/146.07 --- Run --no-e-matching --full-saturate-quant at 6... % 145.78/146.07 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 145.78/146.07 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 145.78/146.07 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 145.78/146.07 --- Run --trigger-sel=max --full-saturate-quant at 15... % 145.78/146.07 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 145.78/146.07 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 145.78/146.07 --- Run --prenex-quant=none --full-saturate-quant at 30... % 145.78/146.07 % SZS status Theorem % 145.78/146.07 % SZS output start Proof % 145.78/146.07 ( % 145.78/146.07 (declare-sort tptp.tp__ty_2Einteger_2Eint 0) % 145.78/146.07 (declare-sort tptp.tp__o 0) % 145.78/146.07 (declare-sort tptp.del 0) % 145.78/146.07 (declare-sort tptp.tp__ty_2Enum_2Enum 0) % 145.78/146.07 (declare-sort $$unsorted 0) % 145.78/146.07 (declare-const tptp.c_2Emin_2E_3D (-> tptp.del $$unsorted)) % 145.78/146.07 (declare-const tptp.c_2Ewords_2Eword__2comp (-> tptp.del $$unsorted)) % 145.78/146.07 (declare-const tptp.c_2Ewords_2En2w (-> tptp.del $$unsorted)) % 145.78/146.07 (declare-const tptp.c_2Ebool_2E_21 (-> tptp.del $$unsorted)) % 145.78/146.07 (declare-const tptp.fo__c_2Earithmetic_2EMOD (-> tptp.tp__ty_2Enum_2Enum tptp.tp__ty_2Enum_2Enum tptp.tp__ty_2Enum_2Enum)) % 145.78/146.07 (declare-const tptp.c_2Ewords_2Edimword (-> tptp.del $$unsorted)) % 145.78/146.07 (declare-const tptp.ty_2Ebool_2Eitself (-> tptp.del tptp.del)) % 145.78/146.07 (declare-const tptp.fo__c_2Ebool_2E_7E (-> tptp.tp__o tptp.tp__o)) % 145.78/146.07 (declare-const tptp.c_2Einteger__word_2Ei2w (-> tptp.del $$unsorted)) % 145.78/146.07 (declare-const tptp.c_2Earithmetic_2EMOD $$unsorted) % 145.78/146.07 (declare-const tptp.c_2Ebool_2ECOND (-> tptp.del $$unsorted)) % 145.78/146.07 (declare-const tptp.c_2Ebool_2Ethe__value (-> tptp.del $$unsorted)) % 145.78/146.07 (declare-const tptp.fo__c_2Einteger_2Eint__lt (-> tptp.tp__ty_2Einteger_2Eint tptp.tp__ty_2Einteger_2Eint tptp.tp__o)) % 145.78/146.07 (declare-const tptp.c_2Einteger_2Eint__lt $$unsorted) % 145.78/146.07 (declare-const tptp.fo__c_2Einteger_2Eint__of__num (-> tptp.tp__ty_2Enum_2Enum tptp.tp__ty_2Einteger_2Eint)) % 145.78/146.07 (declare-const tptp.fo__c_2Ebool_2ET tptp.tp__o) % 145.78/146.07 (declare-const tptp.ty_2Efcp_2Ecart (-> tptp.del tptp.del tptp.del)) % 145.78/146.07 (declare-const tptp.c_2Ebool_2E_2F_5C $$unsorted) % 145.78/146.07 (declare-const tptp.c_2Ebool_2ET $$unsorted) % 145.78/146.07 (declare-const tptp.surj__ty_2Enum_2Enum (-> $$unsorted tptp.tp__ty_2Enum_2Enum)) % 145.78/146.07 (declare-const tptp.surj__o (-> $$unsorted tptp.tp__o)) % 145.78/146.07 (declare-const tptp.inj__o (-> tptp.tp__o $$unsorted)) % 145.78/146.07 (declare-const tptp.fo__c_2Ebool_2E_5C_2F (-> tptp.tp__o tptp.tp__o tptp.tp__o)) % 145.78/146.07 (declare-const tptp.fo__c_2Einteger_2Eint__neg (-> tptp.tp__ty_2Einteger_2Eint tptp.tp__ty_2Einteger_2Eint)) % 145.78/146.07 (declare-const tptp.fo__c_2Eprim__rec_2E_3C (-> tptp.tp__ty_2Enum_2Enum tptp.tp__ty_2Enum_2Enum tptp.tp__o)) % 145.78/146.07 (declare-const tptp.c_2Einteger_2ENum $$unsorted) % 145.78/146.07 (declare-const tptp.c_2Eprim__rec_2E_3C $$unsorted) % 145.78/146.07 (declare-const tptp.fo__c_2Emin_2E_3D_3D_3E (-> tptp.tp__o tptp.tp__o tptp.tp__o)) % 145.78/146.07 (declare-const tptp.fo__c_2Ebool_2EF tptp.tp__o) % 145.78/146.07 (declare-const tptp.c_2Enum_2E0 $$unsorted) % 145.78/146.07 (declare-const tptp.c_2Ebool_2E_7E $$unsorted) % 145.78/146.07 (declare-const tptp.c_2Einteger_2Eint__of__num $$unsorted) % 145.78/146.07 (declare-const tptp.i (-> tptp.del $$unsorted)) % 145.78/146.07 (declare-const tptp.k (-> tptp.del $$unsorted $$unsorted)) % 145.78/146.07 (declare-const tptp.bool tptp.del) % 145.78/146.07 (declare-const tptp.fo__c_2Enum_2E0 tptp.tp__ty_2Enum_2Enum) % 145.78/146.07 (declare-const tptp.p (-> $$unsorted Bool)) % 145.78/146.07 (declare-const tptp.arr (-> tptp.del tptp.del tptp.del)) % 145.78/146.07 (declare-const tptp.ty_2Einteger_2Eint tptp.del) % 145.78/146.07 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted)) % 145.78/146.07 (declare-const tptp.c_2Ebool_2EF $$unsorted) % 145.78/146.07 (declare-const tptp.c_2Ebool_2E_5C_2F $$unsorted) % 145.78/146.07 (declare-const tptp.c_2Emin_2E_3D_3D_3E $$unsorted) % 145.78/146.07 (declare-const tptp.fo__c_2Ebool_2E_2F_5C (-> tptp.tp__o tptp.tp__o tptp.tp__o)) % 145.78/146.07 (declare-const tptp.inj__ty_2Einteger_2Eint (-> tptp.tp__ty_2Einteger_2Eint $$unsorted)) % 145.78/146.07 (declare-const tptp.surj__ty_2Einteger_2Eint (-> $$unsorted tptp.tp__ty_2Einteger_2Eint)) % 145.78/146.07 (declare-const tptp.c_2Einteger_2Eint__neg $$unsorted) % 145.78/146.07 (declare-const tptp.inj__ty_2Enum_2Enum (-> tptp.tp__ty_2Enum_2Enum $$unsorted)) % 145.78/146.07 (declare-const tptp.ty_2Enum_2Enum tptp.del) % 145.78/146.07 (declare-const tptp.mem (-> $$unsorted tptp.del Bool)) % 145.78/146.07 (declare-const tptp.fo__c_2Einteger_2ENum (-> tptp.tp__ty_2Einteger_2Eint tptp.tp__ty_2Enum_2Enum)) % 145.78/146.07 (define @t1 () (@var "B" tptp.del)) % 145.78/146.07 (define @t2 () (@var "X" $$unsorted)) % 145.78/146.07 (define @t3 () (@var "F" $$unsorted)) % 145.78/146.07 (define @t4 () (tptp.ap @t3 @t2)) % 145.78/146.07 (define @t5 () (tptp.mem @t4 @t1)) % 145.78/146.07 (define @t6 () (@var "A" tptp.del)) % 145.78/146.07 (define @t7 () (tptp.mem @t2 @t6)) % 145.78/146.07 (define @t8 () (@list @t2)) % 145.78/146.07 (define @t9 () (forall @t8 (=> @t7 @t5))) % 145.78/146.07 (define @t10 () (tptp.arr @t6 @t1)) % 145.78/146.07 (define @t11 () (tptp.mem @t3 @t10)) % 145.78/146.07 (define @t12 () (=> @t11 @t9)) % 145.78/146.07 (define @t13 () (@list @t6 @t1 @t3)) % 145.78/146.07 (define @t14 () (forall @t13 @t12)) % 145.78/146.07 (define @t15 () (@var "R" $$unsorted)) % 145.78/146.07 (define @t16 () (@var "Q" $$unsorted)) % 145.78/146.07 (define @t17 () (= @t16 @t15)) % 145.78/146.07 (define @t18 () (tptp.p @t15)) % 145.78/146.07 (define @t19 () (tptp.p @t16)) % 145.78/146.07 (define @t20 () (= @t19 @t18)) % 145.78/146.07 (define @t21 () (=> @t20 @t17)) % 145.78/146.07 (define @t22 () (tptp.mem @t15 tptp.bool)) % 145.78/146.07 (define @t23 () (@list @t15)) % 145.78/146.07 (define @t24 () (forall @t23 (=> @t22 @t21))) % 145.78/146.07 (define @t25 () (tptp.mem @t16 tptp.bool)) % 145.78/146.07 (define @t26 () (=> @t25 @t24)) % 145.78/146.07 (define @t27 () (@list @t16)) % 145.78/146.07 (define @t28 () (forall @t27 @t26)) % 145.78/146.07 (define @t29 () (@var "G" $$unsorted)) % 145.78/146.07 (define @t30 () (@var "Y" $$unsorted)) % 145.78/146.07 (define @t31 () (@list @t6 @t2)) % 145.78/146.07 (define @t32 () (@var "X" tptp.tp__o)) % 145.78/146.07 (define @t33 () (tptp.inj__o @t32)) % 145.78/146.07 (define @t34 () (@list @t32)) % 145.78/146.07 (define @t35 () (tptp.arr tptp.bool tptp.bool)) % 145.78/146.07 (define @t36 () (tptp.arr tptp.bool @t35)) % 145.78/146.07 (define @t37 () (@var "X1" tptp.tp__o)) % 145.78/146.07 (define @t38 () (tptp.inj__o @t37)) % 145.78/146.07 (define @t39 () (@var "X0" tptp.tp__o)) % 145.78/146.07 (define @t40 () (tptp.inj__o @t39)) % 145.78/146.07 (define @t41 () (@list @t39 @t37)) % 145.78/146.07 (define @t42 () (tptp.inj__o tptp.fo__c_2Ebool_2ET)) % 145.78/146.07 (define @t43 () (tptp.mem tptp.c_2Ebool_2EF tptp.bool)) % 145.78/146.07 (define @t44 () (tptp.inj__o tptp.fo__c_2Ebool_2EF)) % 145.78/146.07 (define @t45 () (tptp.p tptp.c_2Ebool_2EF)) % 145.78/146.07 (define @t46 () (not @t45)) % 145.78/146.07 (define @t47 () (@var "X" tptp.tp__ty_2Einteger_2Eint)) % 145.78/146.07 (define @t48 () (tptp.inj__ty_2Einteger_2Eint @t47)) % 145.78/146.07 (define @t49 () (@list @t47)) % 145.78/146.07 (define @t50 () (= @t2 (tptp.inj__ty_2Einteger_2Eint (tptp.surj__ty_2Einteger_2Eint @t2)))) % 145.78/146.07 (define @t51 () (tptp.mem @t2 tptp.ty_2Einteger_2Eint)) % 145.78/146.07 (define @t52 () (forall @t8 (=> @t51 @t50))) % 145.78/146.07 (define @t53 () (tptp.mem tptp.c_2Einteger_2Eint__neg (tptp.arr tptp.ty_2Einteger_2Eint tptp.ty_2Einteger_2Eint))) % 145.78/146.07 (define @t54 () (@var "X0" tptp.tp__ty_2Einteger_2Eint)) % 145.78/146.07 (define @t55 () (tptp.inj__ty_2Einteger_2Eint @t54)) % 145.78/146.07 (define @t56 () (@list @t54)) % 145.78/146.07 (define @t57 () (@var "X" tptp.tp__ty_2Enum_2Enum)) % 145.78/146.07 (define @t58 () (tptp.inj__ty_2Enum_2Enum @t57)) % 145.78/146.07 (define @t59 () (@list @t57)) % 145.78/146.07 (define @t60 () (= @t2 (tptp.inj__ty_2Enum_2Enum (tptp.surj__ty_2Enum_2Enum @t2)))) % 145.78/146.07 (define @t61 () (tptp.mem @t2 tptp.ty_2Enum_2Enum)) % 145.78/146.07 (define @t62 () (forall @t8 (=> @t61 @t60))) % 145.78/146.07 (define @t63 () (tptp.mem tptp.c_2Einteger_2ENum (tptp.arr tptp.ty_2Einteger_2Eint tptp.ty_2Enum_2Enum))) % 145.78/146.07 (define @t64 () (@var "X0" tptp.tp__ty_2Enum_2Enum)) % 145.78/146.07 (define @t65 () (tptp.inj__ty_2Enum_2Enum @t64)) % 145.78/146.07 (define @t66 () (forall (@list @t64) (= (tptp.inj__ty_2Einteger_2Eint (tptp.fo__c_2Einteger_2Eint__of__num @t64)) (tptp.ap tptp.c_2Einteger_2Eint__of__num @t65)))) % 145.78/146.07 (define @t67 () (@var "X1" tptp.tp__ty_2Einteger_2Eint)) % 145.78/146.07 (define @t68 () (@var "A_27a" tptp.del)) % 145.78/146.07 (define @t69 () (tptp.c_2Ebool_2ECOND @t68)) % 145.78/146.07 (define @t70 () (@list @t68)) % 145.78/146.07 (define @t71 () (tptp.ty_2Efcp_2Ecart tptp.bool @t68)) % 145.78/146.07 (define @t72 () (tptp.c_2Einteger__word_2Ei2w @t68)) % 145.78/146.07 (define @t73 () (@var "X1" tptp.tp__ty_2Enum_2Enum)) % 145.78/146.07 (define @t74 () (tptp.inj__ty_2Enum_2Enum @t73)) % 145.78/146.07 (define @t75 () (@list @t64 @t73)) % 145.78/146.07 (define @t76 () (not @t19)) % 145.78/146.07 (define @t77 () (tptp.ty_2Ebool_2Eitself @t68)) % 145.78/146.07 (define @t78 () (tptp.c_2Ebool_2Ethe__value @t68)) % 145.78/146.07 (define @t79 () (tptp.c_2Ewords_2Edimword @t68)) % 145.78/146.07 (define @t80 () (tptp.arr @t68 tptp.bool)) % 145.78/146.07 (define @t81 () (tptp.mem tptp.c_2Enum_2E0 tptp.ty_2Enum_2Enum)) % 145.78/146.07 (define @t82 () (tptp.inj__ty_2Enum_2Enum tptp.fo__c_2Enum_2E0)) % 145.78/146.07 (define @t83 () (tptp.c_2Ewords_2En2w @t68)) % 145.78/146.07 (define @t84 () (tptp.c_2Ewords_2Eword__2comp @t68)) % 145.78/146.07 (define @t85 () (@var "V1t2" tptp.tp__o)) % 145.78/146.07 (define @t86 () (tptp.p (tptp.inj__o @t85))) % 145.78/146.07 (define @t87 () (@var "V0t1" tptp.tp__o)) % 145.78/146.07 (define @t88 () (tptp.p (tptp.inj__o @t87))) % 145.78/146.07 (define @t89 () (@var "V0t" tptp.tp__o)) % 145.78/146.07 (define @t90 () (@var "V0x" $$unsorted)) % 145.78/146.07 (define @t91 () (tptp.mem @t90 @t68)) % 145.78/146.07 (define @t92 () (@list @t68 @t90)) % 145.78/146.07 (define @t93 () (@var "V1y" $$unsorted)) % 145.78/146.07 (define @t94 () (@var "V2t3" tptp.tp__o)) % 145.78/146.07 (define @t95 () (tptp.p (tptp.inj__o @t94))) % 145.78/146.07 (define @t96 () (@var "V5y_27" $$unsorted)) % 145.78/146.07 (define @t97 () (@var "V3x_27" $$unsorted)) % 145.78/146.07 (define @t98 () (@var "V1Q" tptp.tp__o)) % 145.78/146.07 (define @t99 () (tptp.inj__o @t98)) % 145.78/146.07 (define @t100 () (@var "V4y" $$unsorted)) % 145.78/146.07 (define @t101 () (@var "V2x" $$unsorted)) % 145.78/146.07 (define @t102 () (@var "V0P" tptp.tp__o)) % 145.78/146.07 (define @t103 () (tptp.inj__o @t102)) % 145.78/146.07 (define @t104 () (tptp.p @t99)) % 145.78/146.07 (define @t105 () (@var "V3t2" $$unsorted)) % 145.78/146.07 (define @t106 () (@var "V2t1" $$unsorted)) % 145.78/146.07 (define @t107 () (tptp.ap (tptp.ap (tptp.ap @t69 @t44) @t106) @t105)) % 145.78/146.07 (define @t108 () (tptp.mem @t105 @t68)) % 145.78/146.07 (define @t109 () (=> @t108 (= @t107 @t105))) % 145.78/146.07 (define @t110 () (@list @t105)) % 145.78/146.07 (define @t111 () (forall @t110 @t109)) % 145.78/146.07 (define @t112 () (tptp.mem @t106 @t68)) % 145.78/146.07 (define @t113 () (=> @t112 @t111)) % 145.78/146.07 (define @t114 () (@list @t106)) % 145.78/146.07 (define @t115 () (forall @t114 @t113)) % 145.78/146.07 (define @t116 () (@var "V0t1" $$unsorted)) % 145.78/146.07 (define @t117 () (@var "V1t2" $$unsorted)) % 145.78/146.07 (define @t118 () (tptp.ap (tptp.ap (tptp.ap @t69 @t42) @t116) @t117)) % 145.78/146.07 (define @t119 () (tptp.mem @t117 @t68)) % 145.78/146.07 (define @t120 () (=> @t119 (= @t118 @t116))) % 145.78/146.07 (define @t121 () (@list @t117)) % 145.78/146.07 (define @t122 () (forall @t121 @t120)) % 145.78/146.07 (define @t123 () (tptp.mem @t116 @t68)) % 145.78/146.07 (define @t124 () (=> @t123 @t122)) % 145.78/146.07 (define @t125 () (@list @t116)) % 145.78/146.07 (define @t126 () (forall @t125 @t124)) % 145.78/146.07 (define @t127 () (and @t126 @t115)) % 145.78/146.07 (define @t128 () (forall @t70 @t127)) % 145.78/146.07 (define @t129 () (tptp.ap tptp.c_2Einteger_2Eint__of__num @t82)) % 145.78/146.07 (define @t130 () (tptp.surj__ty_2Einteger_2Eint @t129)) % 145.78/146.07 (define @t131 () (tptp.ap tptp.c_2Einteger_2Eint__neg @t129)) % 145.78/146.07 (define @t132 () (tptp.surj__ty_2Einteger_2Eint @t131)) % 145.78/146.07 (define @t133 () (= @t132 @t130)) % 145.78/146.07 (define @t134 () (@var "V1m" tptp.tp__ty_2Enum_2Enum)) % 145.78/146.07 (define @t135 () (tptp.inj__ty_2Enum_2Enum @t134)) % 145.78/146.07 (define @t136 () (tptp.ap tptp.c_2Einteger_2Eint__of__num @t135)) % 145.78/146.07 (define @t137 () (tptp.ap tptp.c_2Einteger_2Eint__neg @t136)) % 145.78/146.07 (define @t138 () (@var "V0n" tptp.tp__ty_2Enum_2Enum)) % 145.78/146.07 (define @t139 () (tptp.inj__ty_2Enum_2Enum @t138)) % 145.78/146.07 (define @t140 () (tptp.ap tptp.c_2Einteger_2Eint__of__num @t139)) % 145.78/146.07 (define @t141 () (tptp.ap tptp.c_2Einteger_2Eint__lt @t140)) % 145.78/146.07 (define @t142 () (tptp.p (tptp.ap @t141 @t137))) % 145.78/146.07 (define @t143 () (not (= @t134 tptp.fo__c_2Enum_2E0))) % 145.78/146.07 (define @t144 () (not (= @t138 tptp.fo__c_2Enum_2E0))) % 145.78/146.07 (define @t145 () (or @t144 @t143)) % 145.78/146.07 (define @t146 () (tptp.ap tptp.c_2Einteger_2Eint__lt (tptp.ap tptp.c_2Einteger_2Eint__neg @t140))) % 145.78/146.07 (define @t147 () (tptp.p (tptp.ap @t146 @t136))) % 145.78/146.07 (define @t148 () (= @t147 @t145)) % 145.78/146.07 (define @t149 () (= (tptp.p (tptp.ap @t146 @t137)) (tptp.p (tptp.ap (tptp.ap tptp.c_2Eprim__rec_2E_3C @t135) @t139)))) % 145.78/146.07 (define @t150 () (tptp.ap tptp.c_2Eprim__rec_2E_3C @t139)) % 145.78/146.07 (define @t151 () (= (tptp.p (tptp.ap @t141 @t136)) (tptp.p (tptp.ap @t150 @t135)))) % 145.78/146.07 (define @t152 () (and @t151 @t149 @t148 (= @t142 false))) % 145.78/146.07 (define @t153 () (@list @t138 @t134)) % 145.78/146.07 (define @t154 () (forall @t153 @t152)) % 145.78/146.07 (define @t155 () (tptp.surj__ty_2Enum_2Enum (tptp.ap tptp.c_2Einteger_2ENum @t140))) % 145.78/146.07 (define @t156 () (@list @t138)) % 145.78/146.07 (define @t157 () (forall @t156 (= @t155 @t138))) % 145.78/146.07 (define @t158 () (@var "V0i" tptp.tp__ty_2Einteger_2Eint)) % 145.78/146.07 (define @t159 () (tptp.inj__ty_2Einteger_2Eint @t158)) % 145.78/146.07 (define @t160 () (tptp.ap @t79 @t78)) % 145.78/146.07 (define @t161 () (@var "V1n" tptp.tp__ty_2Enum_2Enum)) % 145.78/146.07 (define @t162 () (tptp.inj__ty_2Enum_2Enum @t161)) % 145.78/146.07 (define @t163 () (@var "V0m" tptp.tp__ty_2Enum_2Enum)) % 145.78/146.07 (define @t164 () (tptp.inj__ty_2Enum_2Enum @t163)) % 145.78/146.07 (define @t165 () (tptp.ap @t83 @t82)) % 145.78/146.07 (define @t166 () (tptp.ap @t84 @t165)) % 145.78/146.07 (define @t167 () (forall @t70 (= @t166 @t165))) % 145.78/146.07 (define @t168 () (tptp.ap @t72 @t129)) % 145.78/146.07 (define @t169 () (forall @t70 (= @t168 @t165))) % 145.78/146.07 (define @t170 () (not @t169)) % 145.78/146.07 (define @t171 () (@list tptp.fo__c_2Enum_2E0)) % 145.78/146.07 (define @t172 () (@quantifiers_skolemize (forall @t70 (= @t165 @t168)) 0)) % 145.78/146.07 (define @t173 () (@list @t172)) % 145.78/146.07 (define @t174 () (@list @t129)) % 145.78/146.07 (define @t175 () (tptp.fo__c_2Einteger_2Eint__of__num tptp.fo__c_2Enum_2E0)) % 145.78/146.07 (define @t176 () (tptp.inj__ty_2Einteger_2Eint @t175)) % 145.78/146.07 (define @t177 () (= @t176 @t129)) % 145.78/146.07 (define @t178 () (@list false)) % 145.78/146.07 (define @t179 () (tptp.mem @t129 tptp.ty_2Einteger_2Eint)) % 145.78/146.07 (define @t180 () (tptp.inj__ty_2Einteger_2Eint @t130)) % 145.78/146.07 (define @t181 () (= @t129 @t180)) % 145.78/146.07 (define @t182 () (not @t179)) % 145.78/146.07 (define @t183 () (or @t182 @t181)) % 145.78/146.07 (define @t184 () (@list false false)) % 145.78/146.07 (define @t185 () (forall @t8 (or (not @t7) @t5))) % 145.78/146.07 (define @t186 () (not @t51)) % 145.78/146.07 (define @t187 () (forall @t8 (or @t186 (tptp.mem (tptp.ap tptp.c_2Einteger_2Eint__neg @t2) tptp.ty_2Einteger_2Eint)))) % 145.78/146.07 (define @t188 () (not @t53)) % 145.78/146.07 (define @t189 () (or @t188 @t187)) % 145.78/146.07 (define @t190 () (tptp.mem @t131 tptp.ty_2Einteger_2Eint)) % 145.78/146.07 (define @t191 () (or @t182 @t190)) % 145.78/146.07 (define @t192 () (tptp.inj__ty_2Einteger_2Eint @t132)) % 145.78/146.07 (define @t193 () (= @t131 @t192)) % 145.78/146.07 (define @t194 () (not @t190)) % 145.78/146.07 (define @t195 () (or @t194 @t193)) % 145.78/146.07 (define @t196 () (tptp.ap tptp.c_2Einteger_2ENum @t129)) % 145.78/146.07 (define @t197 () (forall @t8 (or @t186 (tptp.mem (tptp.ap tptp.c_2Einteger_2ENum @t2) tptp.ty_2Enum_2Enum)))) % 145.78/146.07 (define @t198 () (not @t63)) % 145.78/146.07 (define @t199 () (or @t198 @t197)) % 145.78/146.07 (define @t200 () (tptp.mem @t196 tptp.ty_2Enum_2Enum)) % 145.78/146.07 (define @t201 () (or @t182 @t200)) % 145.78/146.07 (define @t202 () (tptp.surj__ty_2Enum_2Enum @t196)) % 145.78/146.07 (define @t203 () (= @t196 (tptp.inj__ty_2Enum_2Enum @t202))) % 145.78/146.07 (define @t204 () (not @t200)) % 145.78/146.07 (define @t205 () (or @t204 @t203)) % 145.78/146.07 (define @t206 () (not @t22)) % 145.78/146.07 (define @t207 () (forall @t23 (or @t206 (= @t18 @t76) @t17))) % 145.78/146.07 (define @t208 () (= @t76 @t18)) % 145.78/146.07 (define @t209 () (or @t206 @t208 @t17)) % 145.78/146.07 (define @t210 () (tptp.p @t44)) % 145.78/146.07 (define @t211 () (not @t210)) % 145.78/146.07 (define @t212 () (= @t18 @t211)) % 145.78/146.07 (define @t213 () (or @t206 @t212 (= @t44 @t15))) % 145.78/146.07 (define @t214 () (forall @t23 @t213)) % 145.78/146.07 (define @t215 () (tptp.mem @t44 tptp.bool)) % 145.78/146.07 (define @t216 () (not @t215)) % 145.78/146.07 (define @t217 () (or @t216 @t214)) % 145.78/146.07 (define @t218 () (forall @t27 (or (not @t25) @t207))) % 145.78/146.07 (define @t219 () (forall @t23 (or @t206 @t212 (= @t15 @t44)))) % 145.78/146.07 (define @t220 () (or @t216 @t219)) % 145.78/146.07 (define @t221 () (tptp.ap tptp.c_2Einteger_2Eint__lt @t131)) % 145.78/146.07 (define @t222 () (tptp.ap @t221 @t131)) % 145.78/146.07 (define @t223 () (tptp.p @t222)) % 145.78/146.07 (define @t224 () (tptp.mem @t222 tptp.bool)) % 145.78/146.07 (define @t225 () (not @t224)) % 145.78/146.07 (define @t226 () (or @t225 (= @t223 @t211) (= @t222 @t44))) % 145.78/146.07 (define @t227 () (= @t44 @t222)) % 145.78/146.07 (define @t228 () (= @t211 @t223)) % 145.78/146.07 (define @t229 () (or @t225 @t228 @t227)) % 145.78/146.07 (define @t230 () (not @t142)) % 145.78/146.07 (define @t231 () (forall @t153 @t230)) % 145.78/146.07 (define @t232 () (@list @t138 @t134)) % 145.78/146.07 (define @t233 () (= @t147 (or (not (= tptp.fo__c_2Enum_2E0 @t138)) (not (= tptp.fo__c_2Enum_2E0 @t134))))) % 145.78/146.07 (define @t234 () (forall @t153 @t233)) % 145.78/146.07 (define @t235 () (forall @t153 @t149)) % 145.78/146.07 (define @t236 () (@var "BOUND_VARIABLE_8288" tptp.tp__ty_2Enum_2Enum)) % 145.78/146.07 (define @t237 () (@var "BOUND_VARIABLE_8286" tptp.tp__ty_2Enum_2Enum)) % 145.78/146.07 (define @t238 () (forall @t153 @t151)) % 145.78/146.07 (define @t239 () (and @t238 @t235 @t234 @t231)) % 145.78/146.07 (define @t240 () (tptp.p (tptp.ap (tptp.ap tptp.c_2Eprim__rec_2E_3C @t82) @t82))) % 145.78/146.07 (define @t241 () (tptp.inj__ty_2Enum_2Enum @t237)) % 145.78/146.07 (define @t242 () (tptp.inj__ty_2Enum_2Enum @t236)) % 145.78/146.07 (define @t243 () (forall (@list @t237 @t236) (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Einteger_2Eint__lt (tptp.ap tptp.c_2Einteger_2Eint__neg (tptp.ap tptp.c_2Einteger_2Eint__of__num @t241))) (tptp.ap tptp.c_2Einteger_2Eint__neg (tptp.ap tptp.c_2Einteger_2Eint__of__num @t242)))) (tptp.p (tptp.ap (tptp.ap tptp.c_2Eprim__rec_2E_3C @t242) @t241))))) % 145.78/146.07 (define @t244 () (= @t223 @t240)) % 145.78/146.07 (define @t245 () (= @t240 @t223)) % 145.78/146.07 (define @t246 () (not @t223)) % 145.78/146.07 (define @t247 () (not @t228)) % 145.78/146.07 (define @t248 () (@var "BOUND_VARIABLE_8236" tptp.del)) % 145.78/146.07 (define @t249 () (or (not (tptp.mem @t106 @t248)) (forall @t110 (or (not (tptp.mem @t105 @t248)) (= @t105 (tptp.ap (tptp.ap (tptp.ap (tptp.c_2Ebool_2ECOND @t248) @t44) @t106) @t105)))))) % 145.78/146.07 (define @t250 () (forall (@list @t248) (forall @t114 @t249))) % 145.78/146.07 (define @t251 () (@var "BOUND_VARIABLE_8219" tptp.del)) % 145.78/146.07 (define @t252 () (or (not (tptp.mem @t116 @t251)) (forall @t121 (or (not (tptp.mem @t117 @t251)) (= @t116 (tptp.ap (tptp.ap (tptp.ap (tptp.c_2Ebool_2ECOND @t251) @t42) @t116) @t117)))))) % 145.78/146.07 (define @t253 () (forall (@list @t251) (forall @t125 @t252))) % 145.78/146.07 (define @t254 () (= @t105 @t107)) % 145.78/146.07 (define @t255 () (forall @t110 (or (not @t108) @t254))) % 145.78/146.07 (define @t256 () (forall @t114 (or (not @t112) @t255))) % 145.78/146.07 (define @t257 () (forall @t70 @t256)) % 145.78/146.07 (define @t258 () (@list @t68)) % 145.78/146.07 (define @t259 () (= @t116 @t118)) % 145.78/146.07 (define @t260 () (forall @t121 (or (not @t119) @t259))) % 145.78/146.07 (define @t261 () (forall @t125 (or (not @t123) @t260))) % 145.78/146.07 (define @t262 () (forall @t70 @t261)) % 145.78/146.07 (define @t263 () (and @t262 @t257)) % 145.78/146.07 (define @t264 () (tptp.c_2Ewords_2En2w @t172)) % 145.78/146.07 (define @t265 () (tptp.ap @t264 @t82)) % 145.78/146.07 (define @t266 () (tptp.ty_2Efcp_2Ecart tptp.bool @t172)) % 145.78/146.07 (define @t267 () (forall @t8 (or (not @t61) (tptp.mem (tptp.ap @t264 @t2) @t266)))) % 145.78/146.07 (define @t268 () (tptp.mem @t264 (tptp.arr tptp.ty_2Enum_2Enum @t266))) % 145.78/146.07 (define @t269 () (not @t268)) % 145.78/146.07 (define @t270 () (or @t269 @t267)) % 145.78/146.07 (define @t271 () (tptp.mem @t265 @t266)) % 145.78/146.07 (define @t272 () (tptp.mem @t82 tptp.ty_2Enum_2Enum)) % 145.78/146.07 (define @t273 () (not @t272)) % 145.78/146.07 (define @t274 () (or @t273 @t271)) % 145.78/146.07 (define @t275 () (tptp.c_2Ebool_2ECOND @t266)) % 145.78/146.07 (define @t276 () (tptp.ap @t275 @t44)) % 145.78/146.07 (define @t277 () (tptp.ap @t276 @t265)) % 145.78/146.07 (define @t278 () (forall @t110 (or (not (tptp.mem @t105 @t266)) (= @t105 (tptp.ap @t277 @t105))))) % 145.78/146.07 (define @t279 () (not @t271)) % 145.78/146.07 (define @t280 () (or @t279 @t278)) % 145.78/146.07 (define @t281 () (tptp.ap @t277 @t265)) % 145.78/146.07 (define @t282 () (= @t265 @t281)) % 145.78/146.07 (define @t283 () (or @t279 @t282)) % 145.78/146.07 (define @t284 () (not @t282)) % 145.78/146.07 (define @t285 () (not @t227)) % 145.78/146.07 (define @t286 () (tptp.ap tptp.c_2Einteger_2Eint__neg @t180)) % 145.78/146.07 (define @t287 () (tptp.ap tptp.c_2Einteger_2ENum @t286)) % 145.78/146.07 (define @t288 () (tptp.ap @t264 @t287)) % 145.78/146.07 (define @t289 () (tptp.c_2Ewords_2Eword__2comp @t172)) % 145.78/146.07 (define @t290 () (tptp.c_2Einteger__word_2Ei2w @t172)) % 145.78/146.07 (define @t291 () (tptp.ap @t290 @t180)) % 145.78/146.07 (define @t292 () (= @t291 (tptp.ap (tptp.ap (tptp.ap @t275 (tptp.ap (tptp.ap tptp.c_2Einteger_2Eint__lt @t180) @t129)) (tptp.ap @t289 @t288)) (tptp.ap @t264 (tptp.ap tptp.c_2Einteger_2ENum @t180))))) % 145.78/146.07 (define @t293 () (not @t292)) % 145.78/146.07 (define @t294 () (not @t203)) % 145.78/146.07 (define @t295 () (tptp.ap @t289 @t265)) % 145.78/146.07 (define @t296 () (= @t265 @t295)) % 145.78/146.07 (define @t297 () (not @t296)) % 145.78/146.07 (define @t298 () (= tptp.fo__c_2Enum_2E0 @t202)) % 145.78/146.07 (define @t299 () (not @t298)) % 145.78/146.07 (define @t300 () (not @t193)) % 145.78/146.07 (define @t301 () (not @t181)) % 145.78/146.07 (define @t302 () (= @t265 (tptp.ap @t290 @t129))) % 145.78/146.07 (define @t303 () (not @t133)) % 145.78/146.07 (define @t304 () (not @t302)) % 145.78/146.07 (define @t305 () (and @t284 @t282)) % 145.78/146.07 (assume @p1 @t14) % 145.78/146.07 (assume @p2 @t28) % 145.78/146.07 (assume @p3 (forall @t13 (=> @t11 (forall (@list @t29) (=> (tptp.mem @t29 @t10) (=> (forall @t8 (=> @t7 (= @t4 (tptp.ap @t29 @t2)))) (= @t3 @t29))))))) % 145.78/146.07 (assume @p4 (forall (@list @t6 @t30 @t2) (=> @t7 (= (tptp.ap (tptp.k @t6 @t30) @t2) @t30)))) % 145.78/146.07 (assume @p5 (forall @t31 (=> @t7 (= (tptp.ap (tptp.i @t6) @t2) @t2)))) % 145.78/146.07 (assume @p6 (forall @t34 (= (tptp.surj__o @t33) @t32))) % 145.78/146.07 (assume @p7 (forall @t34 (tptp.mem @t33 tptp.bool))) % 145.78/146.07 (assume @p8 (forall @t8 (=> (tptp.mem @t2 tptp.bool) (= @t2 (tptp.inj__o (tptp.surj__o @t2)))))) % 145.78/146.07 (assume @p9 (tptp.mem tptp.c_2Emin_2E_3D_3D_3E @t36)) % 145.78/146.07 (assume @p10 (forall @t41 (= (tptp.inj__o (tptp.fo__c_2Emin_2E_3D_3D_3E @t39 @t37)) (tptp.ap (tptp.ap tptp.c_2Emin_2E_3D_3D_3E @t40) @t38)))) % 145.78/146.07 (assume @p11 (forall @t27 (=> @t25 (forall @t23 (=> @t22 (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Emin_2E_3D_3D_3E @t16) @t15)) (=> @t19 @t18))))))) % 145.78/146.07 (assume @p12 (tptp.mem tptp.c_2Ebool_2ET tptp.bool)) % 145.78/146.07 (assume @p13 (= @t42 tptp.c_2Ebool_2ET)) % 145.78/146.07 (assume @p14 (tptp.p tptp.c_2Ebool_2ET)) % 145.78/146.07 (assume @p15 @t43) % 145.78/146.07 (assume @p16 (= @t44 tptp.c_2Ebool_2EF)) % 145.78/146.07 (assume @p17 @t46) % 145.78/146.07 (assume @p18 (tptp.mem tptp.c_2Ebool_2E_5C_2F @t36)) % 145.78/146.07 (assume @p19 (forall @t41 (= (tptp.inj__o (tptp.fo__c_2Ebool_2E_5C_2F @t39 @t37)) (tptp.ap (tptp.ap tptp.c_2Ebool_2E_5C_2F @t40) @t38)))) % 145.78/146.07 (assume @p20 (forall @t27 (=> @t25 (forall @t23 (=> @t22 (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Ebool_2E_5C_2F @t16) @t15)) (or @t19 @t18))))))) % 145.78/146.07 (assume @p21 (tptp.mem tptp.c_2Ebool_2E_2F_5C @t36)) % 145.78/146.07 (assume @p22 (forall @t41 (= (tptp.inj__o (tptp.fo__c_2Ebool_2E_2F_5C @t39 @t37)) (tptp.ap (tptp.ap tptp.c_2Ebool_2E_2F_5C @t40) @t38)))) % 145.78/146.07 (assume @p23 (forall @t27 (=> @t25 (forall @t23 (=> @t22 (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Ebool_2E_2F_5C @t16) @t15)) (and @t19 @t18))))))) % 145.78/146.07 (assume @p24 (forall @t49 (= (tptp.surj__ty_2Einteger_2Eint @t48) @t47))) % 145.78/146.07 (assume @p25 (forall @t49 (tptp.mem @t48 tptp.ty_2Einteger_2Eint))) % 145.78/146.07 (assume @p26 @t52) % 145.78/146.07 (assume @p27 @t53) % 145.78/146.07 (assume @p28 (forall @t56 (= (tptp.inj__ty_2Einteger_2Eint (tptp.fo__c_2Einteger_2Eint__neg @t54)) (tptp.ap tptp.c_2Einteger_2Eint__neg @t55)))) % 145.78/146.07 (assume @p29 (forall @t59 (= (tptp.surj__ty_2Enum_2Enum @t58) @t57))) % 145.78/146.07 (assume @p30 (forall @t59 (tptp.mem @t58 tptp.ty_2Enum_2Enum))) % 145.78/146.07 (assume @p31 @t62) % 145.78/146.07 (assume @p32 @t63) % 145.78/146.07 (assume @p33 (forall @t56 (= (tptp.inj__ty_2Enum_2Enum (tptp.fo__c_2Einteger_2ENum @t54)) (tptp.ap tptp.c_2Einteger_2ENum @t55)))) % 145.78/146.07 (assume @p34 (tptp.mem tptp.c_2Einteger_2Eint__of__num (tptp.arr tptp.ty_2Enum_2Enum tptp.ty_2Einteger_2Eint))) % 145.78/146.07 (assume @p35 @t66) % 145.78/146.07 (assume @p36 (tptp.mem tptp.c_2Einteger_2Eint__lt (tptp.arr tptp.ty_2Einteger_2Eint (tptp.arr tptp.ty_2Einteger_2Eint tptp.bool)))) % 145.78/146.07 (assume @p37 (forall (@list @t54 @t67) (= (tptp.inj__o (tptp.fo__c_2Einteger_2Eint__lt @t54 @t67)) (tptp.ap (tptp.ap tptp.c_2Einteger_2Eint__lt @t55) (tptp.inj__ty_2Einteger_2Eint @t67))))) % 145.78/146.07 (assume @p38 (forall @t70 (tptp.mem @t69 (tptp.arr tptp.bool (tptp.arr @t68 (tptp.arr @t68 @t68)))))) % 145.78/146.07 (assume @p39 (forall @t70 (tptp.mem @t72 (tptp.arr tptp.ty_2Einteger_2Eint @t71)))) % 145.78/146.07 (assume @p40 (tptp.mem tptp.c_2Eprim__rec_2E_3C (tptp.arr tptp.ty_2Enum_2Enum (tptp.arr tptp.ty_2Enum_2Enum tptp.bool)))) % 145.78/146.07 (assume @p41 (forall @t75 (= (tptp.inj__o (tptp.fo__c_2Eprim__rec_2E_3C @t64 @t73)) (tptp.ap (tptp.ap tptp.c_2Eprim__rec_2E_3C @t65) @t74)))) % 145.78/146.07 (assume @p42 (tptp.mem tptp.c_2Ebool_2E_7E @t35)) % 145.78/146.07 (assume @p43 (forall (@list @t39) (= (tptp.inj__o (tptp.fo__c_2Ebool_2E_7E @t39)) (tptp.ap tptp.c_2Ebool_2E_7E @t40)))) % 145.78/146.07 (assume @p44 (forall @t27 (=> @t25 (= (tptp.p (tptp.ap tptp.c_2Ebool_2E_7E @t16)) @t76)))) % 145.78/146.07 (assume @p45 (forall @t70 (tptp.mem @t78 @t77))) % 145.78/146.07 (assume @p46 (forall @t70 (tptp.mem @t79 (tptp.arr @t77 tptp.ty_2Enum_2Enum)))) % 145.78/146.07 (assume @p47 (tptp.mem tptp.c_2Earithmetic_2EMOD (tptp.arr tptp.ty_2Enum_2Enum (tptp.arr tptp.ty_2Enum_2Enum tptp.ty_2Enum_2Enum)))) % 145.78/146.07 (assume @p48 (forall @t75 (= (tptp.inj__ty_2Enum_2Enum (tptp.fo__c_2Earithmetic_2EMOD @t64 @t73)) (tptp.ap (tptp.ap tptp.c_2Earithmetic_2EMOD @t65) @t74)))) % 145.78/146.07 (assume @p49 (forall @t70 (tptp.mem (tptp.c_2Ebool_2E_21 @t68) (tptp.arr @t80 tptp.bool)))) % 145.78/146.07 (assume @p50 (forall (@list @t6 @t16) (=> (tptp.mem @t16 (tptp.arr @t6 tptp.bool)) (= (tptp.p (tptp.ap (tptp.c_2Ebool_2E_21 @t6) @t16)) (forall @t8 (=> @t7 (tptp.p (tptp.ap @t16 @t2)))))))) % 145.78/146.07 (assume @p51 @t81) % 145.78/146.07 (assume @p52 (= @t82 tptp.c_2Enum_2E0)) % 145.78/146.07 (assume @p53 (forall @t70 (tptp.mem @t83 (tptp.arr tptp.ty_2Enum_2Enum @t71)))) % 145.78/146.07 (assume @p54 (forall @t70 (tptp.mem @t84 (tptp.arr @t71 @t71)))) % 145.78/146.07 (assume @p55 (forall @t70 (tptp.mem (tptp.c_2Emin_2E_3D @t68) (tptp.arr @t68 @t80)))) % 145.78/146.07 (assume @p56 (forall @t31 (=> @t7 (forall (@list @t30) (=> (tptp.mem @t30 @t6) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2Emin_2E_3D @t6) @t2) @t30)) (= @t2 @t30))))))) % 145.78/146.07 (assume @p57 true) % 145.78/146.07 (assume @p58 (forall (@list @t87 @t85) (=> (=> @t88 @t86) (=> (=> @t86 @t88) (= @t88 @t86))))) % 145.78/146.07 (assume @p59 (forall (@list @t89) (=> false (tptp.p (tptp.inj__o @t89))))) % 145.78/146.07 (assume @p60 (forall @t92 (=> @t91 (= (= @t90 @t90) true)))) % 145.78/146.07 (assume @p61 (forall @t92 (=> @t91 (forall (@list @t93) (=> (tptp.mem @t93 @t68) (= (= @t90 @t93) (= @t93 @t90))))))) % 145.78/146.07 (assume @p62 (forall (@list @t87 @t85 @t94) (= (=> @t88 (=> @t86 @t95)) (=> (and @t88 @t86) @t95)))) % 145.78/146.07 (assume @p63 (forall (@list @t68 @t102 @t98 @t101) (=> (tptp.mem @t101 @t68) (forall (@list @t97) (=> (tptp.mem @t97 @t68) (forall (@list @t100) (=> (tptp.mem @t100 @t68) (forall (@list @t96) (=> (tptp.mem @t96 @t68) (=> (and (= (tptp.p @t103) @t104) (=> @t104 (= @t101 @t97)) (=> (not @t104) (= @t100 @t96))) (= (tptp.ap (tptp.ap (tptp.ap @t69 @t103) @t101) @t100) (tptp.ap (tptp.ap (tptp.ap @t69 @t99) @t97) @t96)))))))))))) % 145.78/146.07 (assume @p64 @t128) % 145.78/146.07 (assume @p65 @t133) % 145.78/146.07 (assume @p66 @t154) % 145.78/146.07 (assume @p67 @t157) % 145.78/146.07 (assume @p68 (forall (@list @t68 @t158) (= (tptp.ap @t72 @t159) (tptp.ap (tptp.ap (tptp.ap (tptp.c_2Ebool_2ECOND @t71) (tptp.ap (tptp.ap tptp.c_2Einteger_2Eint__lt @t159) @t129)) (tptp.ap @t84 (tptp.ap @t83 (tptp.ap tptp.c_2Einteger_2ENum (tptp.ap tptp.c_2Einteger_2Eint__neg @t159))))) (tptp.ap @t83 (tptp.ap tptp.c_2Einteger_2ENum @t159)))))) % 145.78/146.07 (assume @p69 (forall @t156 (not (tptp.p (tptp.ap @t150 @t82))))) % 145.78/146.07 (assume @p70 (forall (@list @t68 @t163 @t161) (= (= (tptp.ap @t83 @t164) (tptp.ap @t83 @t162)) (= (tptp.surj__ty_2Enum_2Enum (tptp.ap (tptp.ap tptp.c_2Earithmetic_2EMOD @t164) @t160)) (tptp.surj__ty_2Enum_2Enum (tptp.ap (tptp.ap tptp.c_2Earithmetic_2EMOD @t162) @t160)))))) % 145.78/146.07 (assume @p71 @t167) % 145.78/146.07 (assume @p72 @t170) % 145.78/146.07 (step @p73 :rule eq-symm :args (@t168 @t165)) % 145.78/146.07 (step @p74 :rule cong :premises (@p73) :args (@t169)) % 145.78/146.07 (step @p75 :rule cong :premises (@p74) :args (@t170)) % 145.78/146.07 (step @p76 :rule eq_resolve :premises (@p72 @p75)) % 145.78/146.07 (step @p77 :rule skolemize :premises (@p76)) % 145.78/146.07 (step @p78 :rule eq-symm :args (@t155 @t138)) % 145.78/146.07 (step @p79 :rule cong :premises (@p78) :args (@t157)) % 145.78/146.07 (step @p80 :rule eq_resolve :premises (@p67 @p79)) % 145.78/146.07 (step @p81 :rule instantiate :premises (@p80) :args (@t171)) % 145.78/146.07 (step @p82 :rule eq-symm :args (@t166 @t165)) % 145.78/146.07 (step @p83 :rule cong :premises (@p82) :args (@t167)) % 145.78/146.07 (step @p84 :rule eq_resolve :premises (@p71 @p83)) % 145.78/146.07 (step @p85 :rule instantiate :premises (@p84) :args (@t173)) % 145.78/146.07 (step @p86 :rule bool-impl-elim :args (@t51 @t50)) % 145.78/146.07 (step @p87 :rule cong :premises (@p86) :args (@t52)) % 145.78/146.07 (step @p88 :rule eq_resolve :premises (@p26 @p87)) % 145.78/146.07 (step @p89 :rule instantiate :premises (@p88) :args (@t174)) % 145.78/146.07 (step @p90 :rule instantiate :premises (@p25) :args ((@list @t175))) % 145.78/146.07 (step @p91 :rule true_intro :premises (@p90)) % 145.78/146.07 (step @p92 :rule refl :args (tptp.ty_2Einteger_2Eint)) % 145.78/146.07 (step @p93 :rule eq-symm :args (@t176 @t129)) % 145.78/146.07 (step @p94 :rule refl :args (@t66)) % 145.78/146.07 (step @p95 :rule cong :premises (@p94 @p93) :args ((=> @t66 @t177))) % 145.78/146.07 (assume-push @p413 @t66) % 145.78/146.07 (step @p97 :rule instantiate :premises (@p35) :args (@t171)) % 145.78/146.07 (step-pop @p414 :rule scope :premises (@p97)) % 145.78/146.07 (step @p98 :rule process_scope :premises (@p414) :args (@t177)) % 145.78/146.07 (step @p100 :rule eq_resolve :premises (@p98 @p95)) % 145.78/146.07 (step @p101 :rule implies_elim :premises (@p100)) % 145.78/146.07 (step @p102 :rule chain_m_resolution :premises (@p101 @p35) :args ((= @t129 @t176) @t178 (@list @t66))) % 145.78/146.07 (step @p103 :rule cong :premises (@p102 @p92) :args (@t179)) % 145.78/146.07 (step @p104 :rule trans :premises (@p103 @p91)) % 145.78/146.07 (step @p105 :rule true_elim :premises (@p104)) % 145.78/146.07 (step @p106 :rule cnf_or_pos :args (@t183)) % 145.78/146.07 (step @p107 :rule reordering :premises (@p106) :args ((or @t182 @t181 (not @t183)))) % 145.78/146.07 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p89) :args (@t181 @t184 (@list @t179 @t183))) % 145.78/146.07 (step @p109 :rule instantiate :premises (@p88) :args ((@list @t131))) % 145.78/146.07 (step @p110 :rule bool-impl-elim :args (@t11 @t185)) % 145.78/146.07 (step @p111 :rule cong :premises (@p110) :args ((forall @t13 (=> @t11 @t185)))) % 145.78/146.07 (step @p112 :rule bool-impl-elim :args (@t7 @t5)) % 145.78/146.07 (step @p113 :rule cong :premises (@p112) :args (@t9)) % 145.78/146.07 (step @p114 :rule refl :args (@t11)) % 145.78/146.07 (step @p115 :rule cong :premises (@p114 @p113) :args (@t12)) % 145.78/146.07 (step @p116 :rule cong :premises (@p115) :args (@t14)) % 145.78/146.07 (step @p117 :rule trans :premises (@p116 @p111)) % 145.78/146.07 (step @p118 :rule eq_resolve :premises (@p1 @p117)) % 145.78/146.07 (step @p119 :rule instantiate :premises (@p118) :args ((@list tptp.ty_2Einteger_2Eint tptp.ty_2Einteger_2Eint tptp.c_2Einteger_2Eint__neg))) % 145.78/146.07 (step @p120 :rule cnf_or_pos :args (@t189)) % 145.78/146.07 (step @p121 :rule reordering :premises (@p120) :args ((or @t188 @t187 (not @t189)))) % 145.78/146.07 (step @p122 :rule chain_m_resolution :premises (@p121 @p27 @p119) :args (@t187 @t184 (@list @t53 @t189))) % 145.78/146.07 (step @p123 :rule instantiate :premises (@p122) :args (@t174)) % 145.78/146.07 (step @p124 :rule cnf_or_pos :args (@t191)) % 145.78/146.07 (step @p125 :rule reordering :premises (@p124) :args ((or @t182 @t190 (not @t191)))) % 145.78/146.07 (step @p126 :rule chain_m_resolution :premises (@p125 @p105 @p123) :args (@t190 @t184 (@list @t179 @t191))) % 145.78/146.07 (step @p127 :rule cnf_or_pos :args (@t195)) % 145.78/146.07 (step @p128 :rule reordering :premises (@p127) :args ((or @t194 @t193 (not @t195)))) % 145.78/146.07 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p109) :args (@t193 @t184 (@list @t190 @t195))) % 145.78/146.07 (step @p130 :rule instantiate :premises (@p68) :args ((@list @t172 @t130))) % 145.78/146.07 (step @p131 :rule bool-impl-elim :args (@t61 @t60)) % 145.78/146.07 (step @p132 :rule cong :premises (@p131) :args (@t62)) % 145.78/146.07 (step @p133 :rule eq_resolve :premises (@p31 @p132)) % 145.78/146.07 (step @p134 :rule instantiate :premises (@p133) :args ((@list @t196))) % 145.78/146.07 (step @p135 :rule instantiate :premises (@p118) :args ((@list tptp.ty_2Einteger_2Eint tptp.ty_2Enum_2Enum tptp.c_2Einteger_2ENum))) % 145.78/146.07 (step @p136 :rule cnf_or_pos :args (@t199)) % 145.78/146.07 (step @p137 :rule reordering :premises (@p136) :args ((or @t198 @t197 (not @t199)))) % 145.78/146.07 (step @p138 :rule chain_m_resolution :premises (@p137 @p32 @p135) :args (@t197 @t184 (@list @t63 @t199))) % 145.78/146.07 (step @p139 :rule instantiate :premises (@p138) :args (@t174)) % 145.78/146.07 (step @p140 :rule cnf_or_pos :args (@t201)) % 145.78/146.07 (step @p141 :rule reordering :premises (@p140) :args ((or @t182 @t200 (not @t201)))) % 145.78/146.07 (step @p142 :rule chain_m_resolution :premises (@p141 @p105 @p139) :args (@t200 @t184 (@list @t179 @t201))) % 145.78/146.07 (step @p143 :rule cnf_or_pos :args (@t205)) % 145.78/146.07 (step @p144 :rule reordering :premises (@p143) :args ((or @t204 @t203 (not @t205)))) % 145.78/146.07 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p134) :args (@t203 @t184 (@list @t200 @t205))) % 145.78/146.07 (step @p146 :rule bool-impl-elim :args (@t25 @t207)) % 145.78/146.07 (step @p147 :rule cong :premises (@p146) :args ((forall @t27 (=> @t25 @t207)))) % 145.78/146.07 (step @p148 :rule refl :args (@t17)) % 145.78/146.07 (step @p149 :rule eq-symm :args (@t76 @t18)) % 145.78/146.07 (step @p150 :rule refl :args (@t206)) % 145.78/146.07 (step @p151 :rule nary_cong :premises (@p150 @p149 @p148) :args (@t209)) % 145.78/146.07 (step @p152 :rule cong :premises (@p151) :args ((forall @t23 @t209))) % 145.78/146.07 (step @p153 :rule aci_norm :args ((= (or @t206 (or @t208 @t17)) @t209))) % 145.78/146.07 (step @p154 :rule refl :args (@t17)) % 145.78/146.07 (step @p155 :rule bool-not-eq-elim1 :args (@t19 @t18)) % 145.78/146.07 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or (not @t20) @t17))) % 145.78/146.07 (step @p157 :rule bool-impl-elim :args (@t20 @t17)) % 145.78/146.07 (step @p158 :rule trans :premises (@p157 @p156)) % 145.78/146.07 (step @p159 :rule refl :args (@t206)) % 145.78/146.07 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or @t206 @t21))) % 145.78/146.07 (step @p161 :rule trans :premises (@p160 @p153)) % 145.78/146.07 (step @p162 :rule bool-impl-elim :args (@t22 @t21)) % 145.78/146.07 (step @p163 :rule trans :premises (@p162 @p161)) % 145.78/146.07 (step @p164 :rule cong :premises (@p163) :args (@t24)) % 145.78/146.07 (step @p165 :rule trans :premises (@p164 @p152)) % 145.78/146.07 (step @p166 :rule refl :args (@t25)) % 145.78/146.07 (step @p167 :rule cong :premises (@p166 @p165) :args (@t26)) % 145.78/146.07 (step @p168 :rule cong :premises (@p167) :args (@t28)) % 145.78/146.07 (step @p169 :rule trans :premises (@p168 @p147)) % 145.78/146.07 (step @p170 :rule eq_resolve :premises (@p2 @p169)) % 145.78/146.07 (step @p171 :rule eq-symm :args (@t44 @t15)) % 145.78/146.07 (step @p172 :rule refl :args (@t212)) % 145.78/146.07 (step @p173 :rule nary_cong :premises (@p150 @p172 @p171) :args (@t213)) % 145.78/146.07 (step @p174 :rule cong :premises (@p173) :args (@t214)) % 145.78/146.07 (step @p175 :rule refl :args (@t216)) % 145.78/146.07 (step @p176 :rule nary_cong :premises (@p175 @p174) :args (@t217)) % 145.78/146.07 (step @p177 :rule refl :args (@t218)) % 145.78/146.07 (step @p178 :rule cong :premises (@p177 @p176) :args ((=> @t218 @t217))) % 145.78/146.07 (assume-push @p415 @t218) % 145.78/146.07 (step @p180 :rule instantiate :premises (@p170) :args ((@list @t44))) % 145.78/146.07 (step-pop @p416 :rule scope :premises (@p180)) % 145.78/146.07 (step @p181 :rule process_scope :premises (@p416) :args (@t217)) % 145.78/146.07 (step @p183 :rule eq_resolve :premises (@p181 @p178)) % 145.78/146.07 (step @p184 :rule implies_elim :premises (@p183)) % 145.78/146.07 (step @p185 :rule chain_m_resolution :premises (@p184 @p170) :args (@t220 @t178 (@list @t218))) % 145.78/146.07 (step @p186 :rule refl :args (tptp.bool)) % 145.78/146.07 (step @p187 :rule symm :premises (@p16)) % 145.78/146.07 (step @p188 :rule cong :premises (@p187 @p186) :args (@t43)) % 145.78/146.07 (step @p189 :rule eq_resolve :premises (@p15 @p188)) % 145.78/146.07 (step @p190 :rule cnf_or_pos :args (@t220)) % 145.78/146.07 (step @p191 :rule reordering :premises (@p190) :args ((or @t216 @t219 (not @t220)))) % 145.78/146.07 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p185) :args (@t219 @t184 (@list @t215 @t220))) % 145.78/146.07 (step @p193 :rule eq-symm :args (@t222 @t44)) % 145.78/146.07 (step @p194 :rule eq-symm :args (@t223 @t211)) % 145.78/146.07 (step @p195 :rule refl :args (@t225)) % 145.78/146.07 (step @p196 :rule nary_cong :premises (@p195 @p194 @p193) :args (@t226)) % 145.78/146.07 (step @p197 :rule refl :args (@t219)) % 145.78/146.07 (step @p198 :rule cong :premises (@p197 @p196) :args ((=> @t219 @t226))) % 145.78/146.07 (assume-push @p417 @t219) % 145.78/146.07 (step @p200 :rule instantiate :premises (@p192) :args ((@list @t222))) % 145.78/146.07 (step-pop @p418 :rule scope :premises (@p200)) % 145.78/146.07 (step @p201 :rule process_scope :premises (@p418) :args (@t226)) % 145.78/146.07 (step @p203 :rule eq_resolve :premises (@p201 @p198)) % 145.78/146.07 (step @p204 :rule implies_elim :premises (@p203)) % 145.78/146.07 (step @p205 :rule chain_m_resolution :premises (@p204 @p192) :args (@t229 @t178 (@list @t219))) % 145.78/146.07 (step @p206 :rule alpha_equiv :args (@t231 @t232 (@list (@var "BOUND_VARIABLE_8326" tptp.tp__ty_2Enum_2Enum) (@var "BOUND_VARIABLE_8328" tptp.tp__ty_2Enum_2Enum)))) % 145.78/146.07 (step @p207 :rule alpha_equiv :args (@t234 @t232 (@list (@var "BOUND_VARIABLE_8305" tptp.tp__ty_2Enum_2Enum) (@var "BOUND_VARIABLE_8307" tptp.tp__ty_2Enum_2Enum)))) % 145.78/146.07 (step @p208 :rule alpha_equiv :args (@t235 @t232 (@list @t237 @t236))) % 145.78/146.07 (step @p209 :rule alpha_equiv :args (@t238 @t232 (@list (@var "BOUND_VARIABLE_8269" tptp.tp__ty_2Enum_2Enum) (@var "BOUND_VARIABLE_8271" tptp.tp__ty_2Enum_2Enum)))) % 145.78/146.07 (step @p210 :rule nary_cong :premises (@p209 @p208 @p207 @p206) :args (@t239)) % 145.78/146.07 (step @p211 :rule quant-miniscope-and :args ((= (forall @t153 (and @t151 @t149 @t233 @t230)) @t239))) % 145.78/146.07 (step @p212 :rule trans :premises (@p211 @p210)) % 145.78/146.07 (step @p213 :rule bool-eq-false :args (@t142)) % 145.78/146.07 (step @p214 :rule eq-symm :args (@t134 tptp.fo__c_2Enum_2E0)) % 145.78/146.07 (step @p215 :rule cong :premises (@p214) :args (@t143)) % 145.78/146.07 (step @p216 :rule eq-symm :args (@t138 tptp.fo__c_2Enum_2E0)) % 145.78/146.07 (step @p217 :rule cong :premises (@p216) :args (@t144)) % 145.78/146.07 (step @p218 :rule nary_cong :premises (@p217 @p215) :args (@t145)) % 145.78/146.07 (step @p219 :rule refl :args (@t147)) % 145.78/146.07 (step @p220 :rule cong :premises (@p219 @p218) :args (@t148)) % 145.78/146.07 (step @p221 :rule refl :args (@t149)) % 145.78/146.07 (step @p222 :rule refl :args (@t151)) % 145.78/146.07 (step @p223 :rule nary_cong :premises (@p222 @p221 @p220 @p213) :args (@t152)) % 145.78/146.07 (step @p224 :rule cong :premises (@p223) :args (@t154)) % 145.78/146.07 (step @p225 :rule trans :premises (@p224 @p212)) % 145.78/146.07 (step @p226 :rule eq_resolve :premises (@p66 @p225)) % 145.78/146.07 (step @p227 :rule and_elim :premises (@p226) :args (1)) % 145.78/146.07 (step @p228 :rule eq-symm :args (@t223 @t240)) % 145.78/146.07 (step @p229 :rule refl :args (@t243)) % 145.78/146.07 (step @p230 :rule cong :premises (@p229 @p228) :args ((=> @t243 @t244))) % 145.78/146.07 (assume-push @p419 @t243) % 145.78/146.07 (step @p232 :rule instantiate :premises (@p227) :args ((@list tptp.fo__c_2Enum_2E0 tptp.fo__c_2Enum_2E0))) % 145.78/146.07 (step-pop @p420 :rule scope :premises (@p232)) % 145.78/146.07 (step @p233 :rule process_scope :premises (@p420) :args (@t244)) % 145.78/146.07 (step @p235 :rule eq_resolve :premises (@p233 @p230)) % 145.78/146.07 (step @p236 :rule implies_elim :premises (@p235)) % 145.78/146.07 (step @p237 :rule chain_m_resolution :premises (@p236 @p227) :args (@t245 @t178 (@list @t243))) % 145.78/146.07 (step @p238 :rule instantiate :premises (@p69) :args (@t171)) % 145.78/146.07 (step @p239 :rule cnf_equiv_pos2 :args (@t245)) % 145.78/146.07 (step @p240 :rule reordering :premises (@p239) :args ((or @t240 @t246 (not @t245)))) % 145.78/146.07 (step @p241 :rule chain_m_resolution :premises (@p240 @p238 @p237) :args (@t246 (@list true false) (@list @t240 @t245))) % 145.78/146.07 (step @p242 :rule cong :premises (@p187) :args (@t45)) % 145.78/146.07 (step @p243 :rule cong :premises (@p242) :args (@t46)) % 145.78/146.07 (step @p244 :rule eq_resolve :premises (@p17 @p243)) % 145.78/146.07 (step @p245 :rule refl :args (@t223)) % 145.78/146.07 (step @p246 :rule bool-double-not-elim :args (@t210)) % 145.78/146.07 (step @p247 :rule refl :args (@t247)) % 145.78/146.07 (step @p248 :rule nary_cong :premises (@p247 @p246 @p245) :args ((or @t247 (not @t211) @t223))) % 145.78/146.07 (step @p249 :rule cnf_equiv_pos1 :args (@t228)) % 145.78/146.07 (step @p250 :rule eq_resolve :premises (@p249 @p248)) % 145.78/146.07 (step @p251 :rule reordering :premises (@p250) :args ((or @t210 @t223 @t247))) % 145.78/146.07 (step @p252 :rule chain_m_resolution :premises (@p251 @p244 @p241) :args (@t247 (@list true true) (@list @t210 @t223))) % 145.78/146.07 (step @p253 :rule instantiate :premises (@p7) :args ((@list (tptp.fo__c_2Einteger_2Eint__lt @t130 @t130)))) % 145.78/146.07 (step @p254 :rule true_intro :premises (@p253)) % 145.78/146.07 (step @p255 :rule instantiate :premises (@p37) :args ((@list @t130 @t130))) % 145.78/146.07 (step @p256 :rule symm :premises (@p255)) % 145.78/146.07 (step @p257 :rule cong :premises (@p65) :args (@t192)) % 145.78/146.07 (step @p258 :rule trans :premises (@p129 @p257)) % 145.78/146.07 (step @p259 :rule refl :args (tptp.c_2Einteger_2Eint__lt)) % 145.78/146.07 (step @p260 :rule cong :premises (@p259 @p258) :args (@t221)) % 145.78/146.07 (step @p261 :rule cong :premises (@p260 @p258) :args (@t222)) % 145.78/146.07 (step @p262 :rule trans :premises (@p261 @p256)) % 145.78/146.07 (step @p263 :rule cong :premises (@p262 @p186) :args (@t224)) % 145.78/146.07 (step @p264 :rule trans :premises (@p263 @p254)) % 145.78/146.07 (step @p265 :rule true_elim :premises (@p264)) % 145.78/146.07 (step @p266 :rule cnf_or_pos :args (@t229)) % 145.78/146.07 (step @p267 :rule reordering :premises (@p266) :args ((or @t225 @t228 @t227 (not @t229)))) % 145.78/146.07 (step @p268 :rule chain_m_resolution :premises (@p267 @p265 @p252 @p205) :args (@t227 (@list false true false) (@list @t224 @t228 @t229))) % 145.78/146.07 (step @p269 :rule quant-merge-prenex :args ((= @t250 (forall (@list @t248 @t106) @t249)))) % 145.78/146.07 (step @p270 :rule quant-merge-prenex :args ((= @t253 (forall (@list @t251 @t116) @t252)))) % 145.78/146.07 (step @p271 :rule nary_cong :premises (@p270 @p269) :args ((and @t253 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@p282) :args (@t109)) % 145.78/146.07 (step @p285 :rule cong :premises (@p284) :args (@t111)) % 145.78/146.07 (step @p286 :rule trans :premises (@p285 @p281)) % 145.78/146.07 (step @p287 :rule refl :args (@t112)) % 145.78/146.07 (step @p288 :rule cong :premises (@p287 @p286) :args (@t113)) % 145.78/146.07 (step @p289 :rule cong :premises (@p288) :args (@t115)) % 145.78/146.07 (step @p290 :rule trans :premises (@p289 @p279)) % 145.78/146.07 (step @p291 :rule bool-impl-elim :args (@t123 @t260)) % 145.78/146.07 (step @p292 :rule cong :premises (@p291) :args ((forall @t125 (=> @t123 @t260)))) % 145.78/146.07 (step @p293 :rule bool-impl-elim :args (@t119 @t259)) % 145.78/146.07 (step @p294 :rule cong :premises (@p293) :args ((forall @t121 (=> @t119 @t259)))) % 145.78/146.07 (step @p295 :rule eq-symm :args (@t118 @t116)) % 145.78/146.07 (step @p296 :rule refl :args (@t119)) % 145.78/146.07 (step @p297 :rule cong :premises (@p296 @p295) :args (@t120)) % 145.78/146.07 (step @p298 :rule cong 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:args (@t173)) % 145.78/146.07 (step @p312 :rule cnf_or_pos :args (@t270)) % 145.78/146.07 (step @p313 :rule reordering :premises (@p312) :args ((or @t269 @t267 (not @t270)))) % 145.78/146.07 (step @p314 :rule chain_m_resolution :premises (@p313 @p311 @p310) :args (@t267 @t184 (@list @t268 @t270))) % 145.78/146.07 (step @p315 :rule instantiate :premises (@p314) :args ((@list @t82))) % 145.78/146.07 (step @p316 :rule refl :args (tptp.ty_2Enum_2Enum)) % 145.78/146.07 (step @p317 :rule symm :premises (@p52)) % 145.78/146.07 (step @p318 :rule cong :premises (@p317 @p316) :args (@t81)) % 145.78/146.07 (step @p319 :rule eq_resolve :premises (@p51 @p318)) % 145.78/146.07 (step @p320 :rule cnf_or_pos :args (@t274)) % 145.78/146.07 (step @p321 :rule reordering :premises (@p320) :args ((or @t273 @t271 (not @t274)))) % 145.78/146.07 (step @p322 :rule chain_m_resolution :premises (@p321 @p319 @p315) :args (@t271 @t184 (@list @t272 @t274))) % 145.78/146.07 (step @p323 :rule cnf_or_pos :args 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(step @p337 :rule refl :args (@t301)) % 145.78/146.07 (step @p338 :rule bool-double-not-elim :args (@t302)) % 145.78/146.07 (step @p339 :rule refl :args (@t303)) % 145.78/146.07 (step @p340 :rule nary_cong :premises (@p339 @p338 @p337 @p336 @p335 @p334 @p333 @p332 @p331 @p330) :args ((or @t303 (not @t304) @t301 @t300 @t299 @t297 @t294 @t293 @t285 @t284))) % 145.78/146.07 (assume-push @p421 @t284) % 145.78/146.07 (assume-push @p422 @t282) % 145.78/146.07 (step @p343 :rule evaluate :args ((= false true))) % 145.78/146.07 (step @p344 :rule true_intro :premises (@p329)) % 145.78/146.07 (step @p345 :rule false_intro :premises (@p77)) % 145.78/146.07 (step @p346 :rule symm :premises (@p108)) % 145.78/146.07 (step @p347 :rule refl :args (@t290)) % 145.78/146.07 (step @p348 :rule cong :premises (@p347 @p346) :args (@t291)) % 145.78/146.07 (step @p349 :rule symm :premises (@p130)) % 145.78/146.07 (step @p350 :rule refl :args (tptp.c_2Einteger_2Eint__neg)) % 145.78/146.07 (step @p351 :rule cong :premises (@p350 @p346) :args (@t286)) % 145.78/146.07 (step @p352 :rule trans :premises (@p351 @p129 @p257)) % 145.78/146.07 (step @p353 :rule refl :args (tptp.c_2Einteger_2ENum)) % 145.78/146.07 (step @p354 :rule cong :premises (@p353 @p352) :args (@t287)) % 145.78/146.07 (step @p355 :rule refl :args (@t264)) % 145.78/146.07 (step @p356 :rule cong :premises (@p355 @p354) :args (@t288)) % 145.78/146.07 (step @p357 :rule symm :premises (@p354)) % 145.78/146.07 (step @p358 :rule cong :premises (@p353 @p108) :args (@t196)) % 145.78/146.07 (step @p359 :rule symm :premises (@p145)) % 145.78/146.07 (step @p360 :rule cong :premises (@p81) :args (@t82)) % 145.78/146.07 (step @p361 :rule trans :premises (@p360 @p359 @p358 @p357)) % 145.78/146.07 (step @p362 :rule cong :premises (@p355 @p361) :args (@t265)) % 145.78/146.07 (step @p363 :rule trans :premises (@p362 @p356)) % 145.78/146.07 (step @p364 :rule refl :args (@t289)) % 145.78/146.07 (step @p365 :rule cong :premises (@p364 @p362) :args (@t295)) % 145.78/146.07 (step @p366 :rule trans :premises (@p85 @p365)) % 145.78/146.07 (step @p367 :rule trans :premises (@p129 @p257 @p346)) % 145.78/146.07 (step @p368 :rule cong :premises (@p260 @p367) :args (@t222)) % 145.78/146.07 (step @p369 :rule trans :premises (@p268 @p368)) % 145.78/146.07 (step @p370 :rule refl :args (@t275)) % 145.78/146.07 (step @p371 :rule cong :premises (@p370 @p369) :args (@t276)) % 145.78/146.07 (step @p372 :rule cong :premises (@p371 @p366) :args (@t277)) % 145.78/146.07 (step @p373 :rule cong :premises (@p372 @p363) :args (@t281)) % 145.78/146.07 (step @p374 :rule trans :premises (@p373 @p349 @p348)) % 145.78/146.07 (step @p375 :rule refl :args (@t265)) % 145.78/146.07 (step @p376 :rule cong :premises (@p375 @p374) :args (@t282)) % 145.78/146.07 (step @p377 :rule trans :premises (@p376 @p345)) % 145.78/146.07 (step @p378 :rule symm :premises (@p377)) % 145.78/146.07 (step @p379 :rule trans :premises (@p378 @p344)) % 145.78/146.07 (step @p380 false :rule eq_resolve :premises (@p379 @p343)) % 145.78/146.07 (step-pop @p423 :rule scope :premises (@p380)) % 145.78/146.07 (step-pop @p424 :rule scope :premises (@p423)) % 145.78/146.07 (step @p381 :rule process_scope :premises (@p424) :args (false)) % 145.78/146.07 (assume-push @p425 @t133) % 145.78/146.07 (assume-push @p426 @t304) % 145.78/146.07 (assume-push @p427 @t181) % 145.78/146.07 (assume-push @p428 @t193) % 145.78/146.07 (assume-push @p429 @t298) % 145.78/146.07 (assume-push @p430 @t296) % 145.78/146.07 (assume-push @p431 @t203) % 145.78/146.07 (assume-push @p432 @t292) % 145.78/146.07 (assume-push @p433 @t227) % 145.78/146.07 (assume-push @p434 @t282) % 145.78/146.07 (step @p345 :rule false_intro :premises (@p77)) % 145.78/146.07 (step @p346 :rule symm :premises (@p108)) % 145.78/146.07 (step @p347 :rule refl :args (@t290)) % 145.78/146.07 (step @p348 :rule cong :premises (@p347 @p346) :args (@t291)) % 145.78/146.07 (step @p349 :rule symm :premises (@p130)) % 145.78/146.07 (step @p350 :rule refl :args (tptp.c_2Einteger_2Eint__neg)) % 145.78/146.07 (step @p351 :rule cong :premises (@p350 @p346) :args (@t286)) % 145.78/146.07 (step @p352 :rule trans :premises (@p351 @p129 @p257)) % 145.78/146.07 (step @p353 :rule refl :args (tptp.c_2Einteger_2ENum)) % 126.76/146.15 (step @p354 :rule cong :premises (@p353 @p352) :args (@t287)) % 126.76/146.15 (step @p355 :rule refl :args (@t264)) % 126.76/146.15 (step @p356 :rule cong :premises (@p355 @p354) :args (@t288)) % 126.76/146.15 (step @p357 :rule symm :premises (@p354)) % 126.76/146.15 (step @p358 :rule cong :premises (@p353 @p108) :args (@t196)) % 126.76/146.15 (step @p359 :rule symm :premises (@p145)) % 126.76/146.15 (step @p360 :rule cong :premises (@p81) :args (@t82)) % 126.76/146.15 (step @p361 :rule trans :premises (@p360 @p359 @p358 @p357)) % 126.76/146.15 (step @p362 :rule cong :premises (@p355 @p361) :args (@t265)) % 126.76/146.15 (step @p363 :rule trans :premises (@p362 @p356)) % 126.76/146.15 (step @p364 :rule refl :args (@t289)) % 126.76/146.15 (step @p365 :rule cong :premises (@p364 @p362) :args (@t295)) % 126.76/146.15 (step @p366 :rule trans :premises (@p85 @p365)) % 126.76/146.15 (step @p367 :rule trans :premises (@p129 @p257 @p346)) % 126.76/146.15 (step @p368 :rule cong :premises (@p260 @p367) :args (@t222)) % 126.76/146.15 (step @p369 :rule trans :premises (@p268 @p368)) % 126.76/146.15 (step @p370 :rule refl :args (@t275)) % 126.76/146.15 (step @p371 :rule cong :premises (@p370 @p369) :args (@t276)) % 126.76/146.15 (step @p372 :rule cong :premises (@p371 @p366) :args (@t277)) % 126.76/146.15 (step @p373 :rule cong :premises (@p372 @p363) :args (@t281)) % 126.76/146.15 (step @p374 :rule trans :premises (@p373 @p349 @p348)) % 126.76/146.15 (step @p375 :rule refl :args (@t265)) % 126.76/146.15 (step @p376 :rule cong :premises (@p375 @p374) :args (@t282)) % 126.76/146.15 (step @p394 :rule trans :premises (@p376 @p345)) % 126.76/146.15 (step @p395 :rule false_elim :premises (@p394)) % 126.76/146.15 (step @p396 :rule and_intro :premises (@p395 @p329)) % 126.76/146.15 (step-pop @p435 :rule scope :premises (@p396)) % 126.76/146.15 (step-pop @p436 :rule scope :premises (@p435)) % 126.76/146.15 (step-pop @p437 :rule scope :premises (@p436)) % 126.76/146.15 (step-pop @p438 :rule scope :premises (@p437)) % 126.76/146.15 (step-pop @p439 :rule scope :premises (@p438)) % 126.76/146.15 (step-pop @p440 :rule scope :premises (@p439)) % 126.76/146.15 (step-pop @p441 :rule scope :premises (@p440)) % 126.76/146.15 (step-pop @p442 :rule scope :premises (@p441)) % 126.76/146.15 (step-pop @p443 :rule scope :premises (@p442)) % 126.76/146.15 (step-pop @p444 :rule scope :premises (@p443)) % 126.76/146.15 (step @p397 :rule process_scope :premises (@p444) :args (@t305)) % 126.76/146.15 (step @p408 :rule implies_elim :premises (@p397)) % 126.76/146.15 (step @p409 :rule resolution :premises (@p408 @p381) :args (true @t305)) % 126.76/146.15 (step @p410 :rule not_and :premises (@p409)) % 126.76/146.15 (step @p411 :rule eq_resolve :premises (@p410 @p340)) % 126.76/146.15 (step @p412 false :rule chain_m_resolution :premises (@p411 @p329 @p268 @p145 @p130 @p129 @p108 @p85 @p81 @p77 @p65) :args (false (@list false false false false false false false false true false) (@list @t282 @t227 @t203 @t292 @t193 @t181 @t296 @t298 @t302 @t133))) % 126.76/146.15 ) % 126.76/146.15 % SZS output end Proof % 126.76/146.15 % cvc5 exiting %------------------------------------------------------------------------------