%------------------------------------------------------------------------------ % 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 : n013.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 134.48s 134.70s % Output : Proof 134.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP015+2 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.14/0.33 % Computer : n013.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Tue Jun 2 03:53:30 EDT 2026 % 0.14/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 134.48/134.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 134.48/134.70 --- Run --no-e-matching --full-saturate-quant at 6... % 134.48/134.70 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 134.48/134.70 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 134.48/134.70 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 134.48/134.70 --- Run --trigger-sel=max --full-saturate-quant at 15... % 134.48/134.70 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 134.48/134.70 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 134.48/134.70 --- Run --prenex-quant=none --full-saturate-quant at 30... % 134.48/134.70 % SZS status Theorem % 134.48/134.70 % SZS output start Proof % 134.48/134.70 ( % 134.48/134.70 (declare-sort $$unsorted 0) % 134.48/134.70 (declare-const tptp.c_2Emin_2E_3D (-> $$unsorted $$unsorted)) % 134.48/134.70 (declare-const tptp.c_2Ewords_2Eword__2comp (-> $$unsorted $$unsorted)) % 134.48/134.70 (declare-const tptp.c_2Ewords_2En2w (-> $$unsorted $$unsorted)) % 134.48/134.70 (declare-const tptp.c_2Enum_2E0 $$unsorted) % 134.48/134.70 (declare-const tptp.c_2Ebool_2E_21 (-> $$unsorted $$unsorted)) % 134.48/134.70 (declare-const tptp.c_2Ebool_2ET $$unsorted) % 134.48/134.70 (declare-const tptp.p (-> $$unsorted Bool)) % 134.48/134.70 (declare-const tptp.bool $$unsorted) % 134.48/134.70 (declare-const tptp.ty_2Einteger_2Eint $$unsorted) % 134.48/134.70 (declare-const tptp.c_2Einteger_2ENum $$unsorted) % 134.48/134.70 (declare-const tptp.c_2Ebool_2Ethe__value (-> $$unsorted $$unsorted)) % 134.48/134.70 (declare-const tptp.ind $$unsorted) % 134.48/134.70 (declare-const tptp.c_2Ebool_2E_5C_2F $$unsorted) % 134.48/134.70 (declare-const tptp.ne (-> $$unsorted Bool)) % 134.48/134.70 (declare-const tptp.arr (-> $$unsorted $$unsorted $$unsorted)) % 134.48/134.70 (declare-const tptp.c_2Einteger_2Eint__neg $$unsorted) % 134.48/134.70 (declare-const tptp.k (-> $$unsorted $$unsorted $$unsorted)) % 134.48/134.70 (declare-const tptp.ty_2Ebool_2Eitself (-> $$unsorted $$unsorted)) % 134.48/134.70 (declare-const tptp.c_2Ebool_2EF $$unsorted) % 134.48/134.70 (declare-const tptp.ty_2Enum_2Enum $$unsorted) % 134.48/134.70 (declare-const tptp.i (-> $$unsorted $$unsorted)) % 134.48/134.70 (declare-const tptp.c_2Einteger_2Eint__of__num $$unsorted) % 134.48/134.70 (declare-const tptp.c_2Einteger_2Eint__lt $$unsorted) % 134.48/134.70 (declare-const tptp.c_2Ewords_2Edimword (-> $$unsorted $$unsorted)) % 134.48/134.70 (declare-const tptp.c_2Emin_2E_3D_3D_3E $$unsorted) % 134.48/134.70 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 134.48/134.70 (declare-const tptp.c_2Ebool_2ECOND (-> $$unsorted $$unsorted)) % 134.48/134.70 (declare-const tptp.ty_2Efcp_2Ecart (-> $$unsorted $$unsorted $$unsorted)) % 134.48/134.70 (declare-const tptp.c_2Einteger__word_2Ei2w (-> $$unsorted $$unsorted)) % 134.48/134.70 (declare-const tptp.c_2Ebool_2E_2F_5C $$unsorted) % 134.48/134.70 (declare-const tptp.c_2Eprim__rec_2E_3C $$unsorted) % 134.48/134.70 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted)) % 134.48/134.70 (declare-const tptp.c_2Earithmetic_2EMOD $$unsorted) % 134.48/134.70 (declare-const tptp.c_2Ebool_2E_7E $$unsorted) % 134.48/134.70 (define @t1 () (tptp.ne tptp.bool)) % 134.48/134.70 (define @t2 () (@var "B" $$unsorted)) % 134.48/134.70 (define @t3 () (@var "A" $$unsorted)) % 134.48/134.70 (define @t4 () (tptp.arr @t3 @t2)) % 134.48/134.70 (define @t5 () (tptp.ne @t3)) % 134.48/134.70 (define @t6 () (@list @t3)) % 134.48/134.70 (define @t7 () (@var "X" $$unsorted)) % 134.48/134.70 (define @t8 () (@var "F" $$unsorted)) % 134.48/134.70 (define @t9 () (tptp.ap @t8 @t7)) % 134.48/134.70 (define @t10 () (tptp.mem @t9 @t2)) % 134.48/134.70 (define @t11 () (tptp.mem @t7 @t3)) % 134.48/134.70 (define @t12 () (@list @t7)) % 134.48/134.70 (define @t13 () (forall @t12 (=> @t11 @t10))) % 134.48/134.70 (define @t14 () (tptp.mem @t8 @t4)) % 134.48/134.70 (define @t15 () (=> @t14 @t13)) % 134.48/134.70 (define @t16 () (@list @t3 @t2 @t8)) % 134.48/134.70 (define @t17 () (forall @t16 @t15)) % 134.48/134.70 (define @t18 () (@var "R" $$unsorted)) % 134.48/134.70 (define @t19 () (@var "Q" $$unsorted)) % 134.48/134.70 (define @t20 () (= @t19 @t18)) % 134.48/134.70 (define @t21 () (tptp.p @t18)) % 134.48/134.70 (define @t22 () (tptp.p @t19)) % 134.48/134.70 (define @t23 () (= @t22 @t21)) % 134.48/134.70 (define @t24 () (=> @t23 @t20)) % 134.48/134.70 (define @t25 () (tptp.mem @t18 tptp.bool)) % 134.48/134.70 (define @t26 () (@list @t18)) % 134.48/134.70 (define @t27 () (forall @t26 (=> @t25 @t24))) % 134.48/134.70 (define @t28 () (tptp.mem @t19 tptp.bool)) % 134.48/134.70 (define @t29 () (=> @t28 @t27)) % 134.48/134.70 (define @t30 () (@list @t19)) % 134.48/134.70 (define @t31 () (forall @t30 @t29)) % 134.48/134.70 (define @t32 () (@var "G" $$unsorted)) % 134.48/134.70 (define @t33 () (@var "Y" $$unsorted)) % 134.48/134.70 (define @t34 () (tptp.arr tptp.bool tptp.bool)) % 134.48/134.70 (define @t35 () (tptp.arr tptp.bool @t34)) % 134.48/134.70 (define @t36 () (tptp.mem tptp.c_2Ebool_2EF tptp.bool)) % 134.48/134.70 (define @t37 () (tptp.p tptp.c_2Ebool_2EF)) % 134.48/134.70 (define @t38 () (not @t37)) % 134.48/134.70 (define @t39 () (tptp.mem tptp.c_2Einteger_2Eint__neg (tptp.arr tptp.ty_2Einteger_2Eint tptp.ty_2Einteger_2Eint))) % 134.48/134.70 (define @t40 () (tptp.mem tptp.c_2Einteger_2Eint__of__num (tptp.arr tptp.ty_2Enum_2Enum tptp.ty_2Einteger_2Eint))) % 134.48/134.70 (define @t41 () (tptp.arr tptp.ty_2Einteger_2Eint tptp.bool)) % 134.48/134.70 (define @t42 () (tptp.mem tptp.c_2Einteger_2Eint__lt (tptp.arr tptp.ty_2Einteger_2Eint @t41))) % 134.48/134.70 (define @t43 () (@var "A_27a" $$unsorted)) % 134.48/134.70 (define @t44 () (tptp.c_2Ebool_2ECOND @t43)) % 134.48/134.70 (define @t45 () (tptp.ne @t43)) % 134.48/134.70 (define @t46 () (@list @t43)) % 134.48/134.70 (define @t47 () (@var "A1" $$unsorted)) % 134.48/134.70 (define @t48 () (@var "A0" $$unsorted)) % 134.48/134.70 (define @t49 () (tptp.ne (tptp.ty_2Efcp_2Ecart @t48 @t47))) % 134.48/134.70 (define @t50 () (tptp.ne @t47)) % 134.48/134.70 (define @t51 () (@list @t47)) % 134.48/134.70 (define @t52 () (forall @t51 (=> @t50 @t49))) % 134.48/134.70 (define @t53 () (tptp.ne @t48)) % 134.48/134.70 (define @t54 () (=> @t53 @t52)) % 134.48/134.70 (define @t55 () (@list @t48)) % 134.48/134.70 (define @t56 () (forall @t55 @t54)) % 134.48/134.70 (define @t57 () (tptp.ty_2Efcp_2Ecart tptp.bool @t43)) % 134.48/134.70 (define @t58 () (tptp.c_2Einteger__word_2Ei2w @t43)) % 134.48/134.70 (define @t59 () (not @t22)) % 134.48/134.70 (define @t60 () (tptp.ty_2Ebool_2Eitself @t43)) % 134.48/134.70 (define @t61 () (tptp.c_2Ebool_2Ethe__value @t43)) % 134.48/134.70 (define @t62 () (tptp.c_2Ewords_2Edimword @t43)) % 134.48/134.70 (define @t63 () (tptp.arr @t43 tptp.bool)) % 134.48/134.70 (define @t64 () (tptp.mem tptp.c_2Enum_2E0 tptp.ty_2Enum_2Enum)) % 134.48/134.70 (define @t65 () (tptp.c_2Ewords_2En2w @t43)) % 134.48/134.70 (define @t66 () (tptp.mem @t65 (tptp.arr tptp.ty_2Enum_2Enum @t57))) % 134.48/134.70 (define @t67 () (forall @t46 (=> @t45 @t66))) % 134.48/134.70 (define @t68 () (tptp.c_2Ewords_2Eword__2comp @t43)) % 134.48/134.70 (define @t69 () (tptp.mem @t68 (tptp.arr @t57 @t57))) % 134.48/134.70 (define @t70 () (forall @t46 (=> @t45 @t69))) % 134.48/134.70 (define @t71 () (@var "V1t2" $$unsorted)) % 134.48/134.70 (define @t72 () (tptp.p @t71)) % 134.48/134.70 (define @t73 () (@var "V0t1" $$unsorted)) % 134.48/134.70 (define @t74 () (tptp.p @t73)) % 134.48/134.70 (define @t75 () (tptp.mem @t71 tptp.bool)) % 134.48/134.70 (define @t76 () (@list @t71)) % 134.48/134.70 (define @t77 () (tptp.mem @t73 tptp.bool)) % 134.48/134.70 (define @t78 () (@list @t73)) % 134.48/134.70 (define @t79 () (@var "V0t" $$unsorted)) % 134.48/134.70 (define @t80 () (@var "V0x" $$unsorted)) % 134.48/134.70 (define @t81 () (tptp.mem @t80 @t43)) % 134.48/134.70 (define @t82 () (@list @t80)) % 134.48/134.70 (define @t83 () (@var "V1y" $$unsorted)) % 134.48/134.70 (define @t84 () (@var "V2t3" $$unsorted)) % 134.48/134.70 (define @t85 () (tptp.p @t84)) % 134.48/134.70 (define @t86 () (@var "V5y_27" $$unsorted)) % 134.48/134.70 (define @t87 () (@var "V3x_27" $$unsorted)) % 134.48/134.70 (define @t88 () (@var "V1Q" $$unsorted)) % 134.48/134.70 (define @t89 () (@var "V4y" $$unsorted)) % 134.48/134.70 (define @t90 () (@var "V2x" $$unsorted)) % 134.48/134.70 (define @t91 () (@var "V0P" $$unsorted)) % 134.48/134.70 (define @t92 () (tptp.p @t88)) % 134.48/134.70 (define @t93 () (@var "V3t2" $$unsorted)) % 134.48/134.70 (define @t94 () (@var "V2t1" $$unsorted)) % 134.48/134.70 (define @t95 () (tptp.ap (tptp.ap (tptp.ap @t44 tptp.c_2Ebool_2EF) @t94) @t93)) % 134.48/134.70 (define @t96 () (tptp.mem @t93 @t43)) % 134.48/134.70 (define @t97 () (=> @t96 (= @t95 @t93))) % 134.48/134.70 (define @t98 () (@list @t93)) % 134.48/134.70 (define @t99 () (forall @t98 @t97)) % 134.48/134.70 (define @t100 () (tptp.mem @t94 @t43)) % 134.48/134.70 (define @t101 () (=> @t100 @t99)) % 134.48/134.70 (define @t102 () (@list @t94)) % 134.48/134.70 (define @t103 () (forall @t102 @t101)) % 134.48/134.70 (define @t104 () (tptp.ap (tptp.ap (tptp.ap @t44 tptp.c_2Ebool_2ET) @t73) @t71)) % 134.48/134.70 (define @t105 () (tptp.mem @t71 @t43)) % 134.48/134.70 (define @t106 () (=> @t105 (= @t104 @t73))) % 134.48/134.70 (define @t107 () (forall @t76 @t106)) % 134.48/134.70 (define @t108 () (tptp.mem @t73 @t43)) % 134.48/134.70 (define @t109 () (=> @t108 @t107)) % 134.48/134.70 (define @t110 () (forall @t78 @t109)) % 134.48/134.70 (define @t111 () (and @t110 @t103)) % 134.48/134.70 (define @t112 () (=> @t45 @t111)) % 134.48/134.70 (define @t113 () (forall @t46 @t112)) % 134.48/134.70 (define @t114 () (tptp.ap tptp.c_2Einteger_2Eint__of__num tptp.c_2Enum_2E0)) % 134.48/134.70 (define @t115 () (tptp.ap tptp.c_2Einteger_2Eint__neg @t114)) % 134.48/134.70 (define @t116 () (@var "V1m" $$unsorted)) % 134.48/134.70 (define @t117 () (tptp.ap tptp.c_2Einteger_2Eint__of__num @t116)) % 134.48/134.70 (define @t118 () (tptp.ap tptp.c_2Einteger_2Eint__neg @t117)) % 134.48/134.70 (define @t119 () (@var "V0n" $$unsorted)) % 134.48/134.70 (define @t120 () (tptp.ap tptp.c_2Einteger_2Eint__of__num @t119)) % 134.48/134.70 (define @t121 () (tptp.ap tptp.c_2Einteger_2Eint__lt @t120)) % 134.48/134.70 (define @t122 () (tptp.p (tptp.ap @t121 @t118))) % 134.48/134.70 (define @t123 () (not (= @t116 tptp.c_2Enum_2E0))) % 134.48/134.70 (define @t124 () (not (= @t119 tptp.c_2Enum_2E0))) % 134.48/134.70 (define @t125 () (or @t124 @t123)) % 134.48/134.70 (define @t126 () (tptp.ap tptp.c_2Einteger_2Eint__lt (tptp.ap tptp.c_2Einteger_2Eint__neg @t120))) % 134.48/134.70 (define @t127 () (tptp.p (tptp.ap @t126 @t117))) % 134.48/134.70 (define @t128 () (= @t127 @t125)) % 134.48/134.70 (define @t129 () (tptp.ap tptp.c_2Eprim__rec_2E_3C @t116)) % 134.48/134.70 (define @t130 () (= (tptp.p (tptp.ap @t126 @t118)) (tptp.p (tptp.ap @t129 @t119)))) % 134.48/134.70 (define @t131 () (tptp.ap tptp.c_2Eprim__rec_2E_3C @t119)) % 134.48/134.70 (define @t132 () (= (tptp.p (tptp.ap @t121 @t117)) (tptp.p (tptp.ap @t131 @t116)))) % 134.48/134.70 (define @t133 () (and @t132 @t130 @t128 (= @t122 false))) % 134.48/134.70 (define @t134 () (tptp.mem @t116 tptp.ty_2Enum_2Enum)) % 134.48/134.70 (define @t135 () (=> @t134 @t133)) % 134.48/134.70 (define @t136 () (@list @t116)) % 134.48/134.70 (define @t137 () (forall @t136 @t135)) % 134.48/134.70 (define @t138 () (tptp.mem @t119 tptp.ty_2Enum_2Enum)) % 134.48/134.70 (define @t139 () (=> @t138 @t137)) % 134.48/134.70 (define @t140 () (@list @t119)) % 134.48/134.70 (define @t141 () (forall @t140 @t139)) % 134.48/134.70 (define @t142 () (tptp.ap tptp.c_2Einteger_2ENum @t120)) % 134.48/134.70 (define @t143 () (=> @t138 (= @t142 @t119))) % 134.48/134.70 (define @t144 () (forall @t140 @t143)) % 134.48/134.70 (define @t145 () (@var "V0i" $$unsorted)) % 134.48/134.70 (define @t146 () (tptp.ap tptp.c_2Einteger_2ENum @t145)) % 134.48/134.70 (define @t147 () (tptp.ap tptp.c_2Einteger_2ENum (tptp.ap tptp.c_2Einteger_2Eint__neg @t145))) % 134.48/134.70 (define @t148 () (tptp.ap (tptp.ap tptp.c_2Einteger_2Eint__lt @t145) @t114)) % 134.48/134.70 (define @t149 () (= (tptp.ap @t58 @t145) (tptp.ap (tptp.ap (tptp.ap (tptp.c_2Ebool_2ECOND @t57) @t148) (tptp.ap @t68 (tptp.ap @t65 @t147))) (tptp.ap @t65 @t146)))) % 134.48/134.70 (define @t150 () (tptp.mem @t145 tptp.ty_2Einteger_2Eint)) % 134.48/134.70 (define @t151 () (@list @t145)) % 134.48/134.70 (define @t152 () (forall @t151 (=> @t150 @t149))) % 134.48/134.70 (define @t153 () (=> @t45 @t152)) % 134.48/134.70 (define @t154 () (forall @t46 @t153)) % 134.48/134.70 (define @t155 () (not (tptp.p (tptp.ap @t131 tptp.c_2Enum_2E0)))) % 134.48/134.70 (define @t156 () (forall @t140 (=> @t138 @t155))) % 134.48/134.70 (define @t157 () (tptp.ap @t62 @t61)) % 134.48/134.70 (define @t158 () (@var "V1n" $$unsorted)) % 134.48/134.70 (define @t159 () (@var "V0m" $$unsorted)) % 134.48/134.70 (define @t160 () (tptp.ap @t65 tptp.c_2Enum_2E0)) % 134.48/134.70 (define @t161 () (tptp.ap @t68 @t160)) % 134.48/134.70 (define @t162 () (=> @t45 (= @t161 @t160))) % 134.48/134.70 (define @t163 () (forall @t46 @t162)) % 134.48/134.70 (define @t164 () (tptp.ap @t58 @t114)) % 134.48/134.70 (define @t165 () (=> @t45 (= @t164 @t160))) % 134.48/134.70 (define @t166 () (forall @t46 @t165)) % 134.48/134.70 (define @t167 () (not @t166)) % 134.48/134.70 (define @t168 () (= @t160 @t164)) % 134.48/134.70 (define @t169 () (@quantifiers_skolemize (forall @t46 (or (not @t45) @t168)) 0)) % 134.48/134.70 (define @t170 () (tptp.c_2Einteger__word_2Ei2w @t169)) % 134.48/134.70 (define @t171 () (tptp.ap @t170 @t114)) % 134.48/134.70 (define @t172 () (tptp.c_2Ewords_2En2w @t169)) % 134.48/134.70 (define @t173 () (tptp.ap @t172 tptp.c_2Enum_2E0)) % 134.48/134.70 (define @t174 () (= @t173 @t171)) % 134.48/134.70 (define @t175 () (tptp.ne @t169)) % 134.48/134.70 (define @t176 () (not @t175)) % 134.48/134.70 (define @t177 () (or @t176 @t174)) % 134.48/134.70 (define @t178 () (not @t174)) % 134.48/134.70 (define @t179 () (@list true)) % 134.48/134.70 (define @t180 () (@list @t177)) % 134.48/134.70 (define @t181 () (= @t119 @t142)) % 134.48/134.70 (define @t182 () (@list tptp.c_2Enum_2E0)) % 134.48/134.70 (define @t183 () (tptp.ap tptp.c_2Einteger_2ENum @t114)) % 134.48/134.70 (define @t184 () (= tptp.c_2Enum_2E0 @t183)) % 134.48/134.70 (define @t185 () (not @t64)) % 134.48/134.70 (define @t186 () (or @t185 @t184)) % 134.48/134.70 (define @t187 () (@list false false)) % 134.48/134.70 (define @t188 () (= @t160 @t161)) % 134.48/134.70 (define @t189 () (@list @t169)) % 134.48/134.70 (define @t190 () (tptp.c_2Ewords_2Eword__2comp @t169)) % 134.48/134.70 (define @t191 () (tptp.ap @t190 @t173)) % 134.48/134.70 (define @t192 () (= @t173 @t191)) % 134.48/134.70 (define @t193 () (or @t176 @t192)) % 134.48/134.70 (define @t194 () (not @t150)) % 134.48/134.70 (define @t195 () (forall @t151 (or @t194 @t149))) % 134.48/134.70 (define @t196 () (tptp.ty_2Efcp_2Ecart tptp.bool @t169)) % 134.48/134.70 (define @t197 () (tptp.c_2Ebool_2ECOND @t196)) % 134.48/134.70 (define @t198 () (forall @t151 (or @t194 (= (tptp.ap @t170 @t145) (tptp.ap (tptp.ap (tptp.ap @t197 @t148) (tptp.ap @t190 (tptp.ap @t172 @t147))) (tptp.ap @t172 @t146)))))) % 134.48/134.70 (define @t199 () (or @t176 @t198)) % 134.48/134.70 (define @t200 () (@list @t114)) % 134.48/134.70 (define @t201 () (forall @t12 (or (not @t11) @t10))) % 134.48/134.70 (define @t202 () (not (tptp.mem @t7 tptp.ty_2Enum_2Enum))) % 134.48/134.70 (define @t203 () (forall @t12 (or @t202 (tptp.mem (tptp.ap tptp.c_2Einteger_2Eint__of__num @t7) tptp.ty_2Einteger_2Eint)))) % 134.48/134.70 (define @t204 () (not @t40)) % 134.48/134.70 (define @t205 () (or @t204 @t203)) % 134.48/134.70 (define @t206 () (tptp.mem @t114 tptp.ty_2Einteger_2Eint)) % 134.48/134.70 (define @t207 () (or @t185 @t206)) % 134.48/134.70 (define @t208 () (tptp.ap @t172 @t183)) % 134.48/134.70 (define @t209 () (tptp.ap tptp.c_2Einteger_2Eint__lt @t114)) % 134.48/134.70 (define @t210 () (tptp.ap @t209 @t114)) % 134.48/134.70 (define @t211 () (= @t171 (tptp.ap (tptp.ap (tptp.ap @t197 @t210) (tptp.ap @t190 (tptp.ap @t172 (tptp.ap tptp.c_2Einteger_2ENum @t115)))) @t208))) % 134.48/134.70 (define @t212 () (not @t206)) % 134.48/134.70 (define @t213 () (or @t212 @t211)) % 134.48/134.70 (define @t214 () (not @t25)) % 134.48/134.70 (define @t215 () (forall @t26 (or @t214 (= @t21 @t59) @t20))) % 134.48/134.70 (define @t216 () (= @t59 @t21)) % 134.48/134.70 (define @t217 () (or @t214 @t216 @t20)) % 134.48/134.70 (define @t218 () (= @t21 @t38)) % 134.48/134.70 (define @t219 () (or @t214 @t218 (= tptp.c_2Ebool_2EF @t18))) % 134.48/134.70 (define @t220 () (forall @t26 @t219)) % 134.48/134.70 (define @t221 () (not @t36)) % 134.48/134.70 (define @t222 () (or @t221 @t220)) % 134.48/134.70 (define @t223 () (forall @t30 (or (not @t28) @t215))) % 134.48/134.70 (define @t224 () (forall @t26 (or @t214 @t218 (= @t18 tptp.c_2Ebool_2EF)))) % 134.48/134.70 (define @t225 () (or @t221 @t224)) % 134.48/134.70 (define @t226 () (@list false)) % 134.48/134.70 (define @t227 () (tptp.p @t210)) % 134.48/134.70 (define @t228 () (tptp.mem @t210 tptp.bool)) % 134.48/134.70 (define @t229 () (not @t228)) % 134.48/134.70 (define @t230 () (or @t229 (= @t227 @t38) (= @t210 tptp.c_2Ebool_2EF))) % 134.48/134.70 (define @t231 () (= tptp.c_2Ebool_2EF @t210)) % 134.48/134.70 (define @t232 () (= @t38 @t227)) % 134.48/134.70 (define @t233 () (or @t229 @t232 @t231)) % 134.48/134.70 (define @t234 () (not (= tptp.c_2Enum_2E0 @t116))) % 134.48/134.70 (define @t235 () (and @t132 @t130 (= @t127 (or (not (= tptp.c_2Enum_2E0 @t119)) @t234)) (not @t122))) % 134.48/134.70 (define @t236 () (not @t134)) % 134.48/134.70 (define @t237 () (forall @t136 (or @t236 @t235))) % 134.48/134.70 (define @t238 () (not (tptp.p (tptp.ap @t209 @t118)))) % 134.48/134.70 (define @t239 () (tptp.ap tptp.c_2Einteger_2Eint__lt @t115)) % 134.48/134.70 (define @t240 () (tptp.p (tptp.ap @t239 @t117))) % 134.48/134.70 (define @t241 () (not (= tptp.c_2Enum_2E0 tptp.c_2Enum_2E0))) % 134.48/134.70 (define @t242 () (or @t241 @t234)) % 134.48/134.70 (define @t243 () (= @t240 @t242)) % 134.48/134.70 (define @t244 () (= (tptp.p (tptp.ap @t239 @t118)) (tptp.p (tptp.ap @t129 tptp.c_2Enum_2E0)))) % 134.48/134.70 (define @t245 () (tptp.ap tptp.c_2Eprim__rec_2E_3C tptp.c_2Enum_2E0)) % 134.48/134.70 (define @t246 () (= (tptp.p (tptp.ap @t209 @t117)) (tptp.p (tptp.ap @t245 @t116)))) % 134.48/134.70 (define @t247 () (and @t246 @t244 @t243 @t238)) % 134.48/134.70 (define @t248 () (or @t236 @t247)) % 134.48/134.70 (define @t249 () (forall @t136 @t248)) % 134.48/134.70 (define @t250 () (or @t185 @t249)) % 134.48/134.70 (define @t251 () (forall @t140 (or (not @t138) @t237))) % 134.48/134.70 (define @t252 () (forall @t136 (or @t236 (and @t246 @t244 (= @t234 @t240) @t238)))) % 134.48/134.70 (define @t253 () (or @t185 @t252)) % 134.48/134.70 (define @t254 () (tptp.ap @t209 @t115)) % 134.48/134.70 (define @t255 () (not (tptp.p @t254))) % 134.48/134.70 (define @t256 () (tptp.p (tptp.ap @t239 @t114))) % 134.48/134.70 (define @t257 () (= @t241 @t256)) % 134.48/134.70 (define @t258 () (tptp.ap @t239 @t115)) % 134.48/134.70 (define @t259 () (tptp.p @t258)) % 134.48/134.70 (define @t260 () (tptp.p (tptp.ap @t245 tptp.c_2Enum_2E0))) % 134.48/134.70 (define @t261 () (and (= @t227 @t260) (= @t259 @t260) @t257 @t255)) % 134.48/134.70 (define @t262 () (or @t185 @t261)) % 134.48/134.70 (define @t263 () (= @t260 @t227)) % 134.48/134.70 (define @t264 () (and @t263 (= @t260 @t259) (not @t256) @t255)) % 134.48/134.70 (define @t265 () (or @t185 @t264)) % 134.48/134.70 (define @t266 () (not @t260)) % 134.48/134.70 (define @t267 () (or @t185 @t266)) % 134.48/134.70 (define @t268 () (not @t227)) % 134.48/134.70 (define @t269 () (not @t232)) % 134.48/134.70 (define @t270 () (not (tptp.mem @t7 tptp.ty_2Einteger_2Eint))) % 134.48/134.70 (define @t271 () (forall @t12 (or @t270 (tptp.mem (tptp.ap tptp.c_2Einteger_2Eint__lt @t7) @t41)))) % 134.48/134.70 (define @t272 () (not @t42)) % 134.48/134.70 (define @t273 () (or @t272 @t271)) % 134.48/134.70 (define @t274 () (tptp.mem @t209 @t41)) % 134.48/134.70 (define @t275 () (or @t212 @t274)) % 134.48/134.70 (define @t276 () (forall @t12 (or @t270 (tptp.mem (tptp.ap @t209 @t7) tptp.bool)))) % 134.48/134.70 (define @t277 () (not @t274)) % 134.48/134.70 (define @t278 () (or @t277 @t276)) % 134.48/134.70 (define @t279 () (forall @t12 (or @t270 (tptp.mem (tptp.ap tptp.c_2Einteger_2Eint__neg @t7) tptp.ty_2Einteger_2Eint)))) % 134.48/134.70 (define @t280 () (not @t39)) % 134.48/134.70 (define @t281 () (or @t280 @t279)) % 134.48/134.70 (define @t282 () (tptp.mem @t115 tptp.ty_2Einteger_2Eint)) % 134.48/134.70 (define @t283 () (or @t212 @t282)) % 134.48/134.70 (define @t284 () (tptp.mem @t254 tptp.bool)) % 134.48/134.70 (define @t285 () (not @t282)) % 134.48/134.70 (define @t286 () (or @t285 @t284)) % 134.48/134.70 (define @t287 () (= @t93 @t95)) % 134.48/134.70 (define @t288 () (forall @t98 (or (not @t96) @t287))) % 134.48/134.70 (define @t289 () (= @t73 @t104)) % 134.48/134.70 (define @t290 () (forall @t76 (or (not @t105) @t289))) % 134.48/134.70 (define @t291 () (and (forall @t78 (or (not @t108) @t290)) (forall @t102 (or (not @t100) @t288)))) % 134.48/134.70 (define @t292 () (not @t50)) % 134.48/134.70 (define @t293 () (forall @t51 (or @t292 @t49))) % 134.48/134.70 (define @t294 () (forall @t51 (or @t292 (tptp.ne (tptp.ty_2Efcp_2Ecart tptp.bool @t47))))) % 134.48/134.70 (define @t295 () (not @t1)) % 134.48/134.70 (define @t296 () (or @t295 @t294)) % 134.48/134.70 (define @t297 () (tptp.ne @t196)) % 134.48/134.70 (define @t298 () (or @t176 @t297)) % 134.48/134.70 (define @t299 () (tptp.ap @t197 tptp.c_2Ebool_2EF)) % 134.48/134.70 (define @t300 () (not (tptp.mem @t93 @t196))) % 134.48/134.70 (define @t301 () (forall @t102 (or (not (tptp.mem @t94 @t196)) (forall @t98 (or @t300 (= @t93 (tptp.ap (tptp.ap @t299 @t94) @t93))))))) % 134.48/134.70 (define @t302 () (and (forall @t78 (or (not (tptp.mem @t73 @t196)) (forall @t76 (or (not (tptp.mem @t71 @t196)) (= @t73 (tptp.ap (tptp.ap (tptp.ap @t197 tptp.c_2Ebool_2ET) @t73) @t71)))))) @t301)) % 134.48/134.70 (define @t303 () (not @t297)) % 134.48/134.70 (define @t304 () (or @t303 @t302)) % 134.48/134.70 (define @t305 () (@list @t191)) % 134.48/134.70 (define @t306 () (tptp.mem @t190 (tptp.arr @t196 @t196))) % 134.48/134.70 (define @t307 () (or @t176 @t306)) % 134.48/134.70 (define @t308 () (forall @t12 (or (not (tptp.mem @t7 @t196)) (tptp.mem (tptp.ap @t190 @t7) @t196)))) % 134.48/134.70 (define @t309 () (not @t306)) % 134.48/134.70 (define @t310 () (or @t309 @t308)) % 134.48/134.70 (define @t311 () (tptp.mem @t172 (tptp.arr tptp.ty_2Enum_2Enum @t196))) % 134.48/134.70 (define @t312 () (or @t176 @t311)) % 134.48/134.70 (define @t313 () (forall @t12 (or @t202 (tptp.mem (tptp.ap @t172 @t7) @t196)))) % 134.48/134.70 (define @t314 () (not @t311)) % 134.48/134.70 (define @t315 () (or @t314 @t313)) % 134.48/134.70 (define @t316 () (tptp.mem @t173 @t196)) % 134.48/134.70 (define @t317 () (or @t185 @t316)) % 134.48/134.70 (define @t318 () (tptp.mem @t191 @t196)) % 134.48/134.70 (define @t319 () (not @t316)) % 134.48/134.70 (define @t320 () (or @t319 @t318)) % 134.48/134.70 (define @t321 () (tptp.ap @t299 @t191)) % 134.48/134.70 (define @t322 () (forall @t98 (or @t300 (= @t93 (tptp.ap @t321 @t93))))) % 134.48/134.70 (define @t323 () (not @t318)) % 134.48/134.70 (define @t324 () (or @t323 @t322)) % 134.48/134.70 (define @t325 () (tptp.ap @t321 @t191)) % 134.48/134.70 (define @t326 () (= @t191 @t325)) % 134.48/134.70 (define @t327 () (or @t323 @t326)) % 134.48/134.70 (define @t328 () (not @t326)) % 134.48/134.70 (define @t329 () (not @t211)) % 134.48/134.70 (define @t330 () (not @t231)) % 134.48/134.70 (define @t331 () (not @t192)) % 134.48/134.70 (define @t332 () (not @t184)) % 134.48/134.70 (define @t333 () (= @t114 @t115)) % 134.48/134.70 (define @t334 () (not @t333)) % 134.48/134.70 (define @t335 () (and @t328 @t326)) % 134.48/134.70 (assume @p1 @t1) % 134.48/134.70 (assume @p2 (tptp.ne tptp.ind)) % 134.48/134.70 (assume @p3 (forall @t6 (=> @t5 (forall (@list @t2) (=> (tptp.ne @t2) (tptp.ne @t4)))))) % 134.48/134.70 (assume @p4 @t17) % 134.48/134.70 (assume @p5 @t31) % 134.48/134.70 (assume @p6 (forall @t16 (=> @t14 (forall (@list @t32) (=> (tptp.mem @t32 @t4) (=> (forall @t12 (=> @t11 (= @t9 (tptp.ap @t32 @t7)))) (= @t8 @t32))))))) % 134.48/134.70 (assume @p7 (forall (@list @t3 @t33 @t7) (=> @t11 (= (tptp.ap (tptp.k @t3 @t33) @t7) @t33)))) % 134.48/134.70 (assume @p8 (forall (@list @t3 @t7) (=> @t11 (= (tptp.ap (tptp.i @t3) @t7) @t7)))) % 134.48/134.70 (assume @p9 (tptp.mem tptp.c_2Emin_2E_3D_3D_3E @t35)) % 134.48/134.70 (assume @p10 (forall @t30 (=> @t28 (forall @t26 (=> @t25 (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Emin_2E_3D_3D_3E @t19) @t18)) (=> @t22 @t21))))))) % 134.48/134.70 (assume @p11 (tptp.mem tptp.c_2Ebool_2ET tptp.bool)) % 134.48/134.70 (assume @p12 (tptp.p tptp.c_2Ebool_2ET)) % 134.48/134.70 (assume @p13 @t36) % 134.48/134.70 (assume @p14 @t38) % 134.48/134.70 (assume @p15 (tptp.mem tptp.c_2Ebool_2E_5C_2F @t35)) % 134.48/134.70 (assume @p16 (forall @t30 (=> @t28 (forall @t26 (=> @t25 (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Ebool_2E_5C_2F @t19) @t18)) (or @t22 @t21))))))) % 134.48/134.70 (assume @p17 (tptp.mem tptp.c_2Ebool_2E_2F_5C @t35)) % 134.48/134.70 (assume @p18 (forall @t30 (=> @t28 (forall @t26 (=> @t25 (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Ebool_2E_2F_5C @t19) @t18)) (and @t22 @t21))))))) % 134.48/134.70 (assume @p19 (tptp.ne tptp.ty_2Einteger_2Eint)) % 134.48/134.70 (assume @p20 @t39) % 134.48/134.70 (assume @p21 (tptp.ne tptp.ty_2Enum_2Enum)) % 134.48/134.70 (assume @p22 (tptp.mem tptp.c_2Einteger_2ENum (tptp.arr tptp.ty_2Einteger_2Eint tptp.ty_2Enum_2Enum))) % 134.48/134.70 (assume @p23 @t40) % 134.48/134.70 (assume @p24 @t42) % 134.48/134.70 (assume @p25 (forall @t46 (=> @t45 (tptp.mem @t44 (tptp.arr tptp.bool (tptp.arr @t43 (tptp.arr @t43 @t43))))))) % 134.48/134.70 (assume @p26 @t56) % 134.48/134.70 (assume @p27 (forall @t46 (=> @t45 (tptp.mem @t58 (tptp.arr tptp.ty_2Einteger_2Eint @t57))))) % 134.48/134.70 (assume @p28 (tptp.mem tptp.c_2Eprim__rec_2E_3C (tptp.arr tptp.ty_2Enum_2Enum (tptp.arr tptp.ty_2Enum_2Enum tptp.bool)))) % 134.48/134.70 (assume @p29 (tptp.mem tptp.c_2Ebool_2E_7E @t34)) % 134.48/134.70 (assume @p30 (forall @t30 (=> @t28 (= (tptp.p (tptp.ap tptp.c_2Ebool_2E_7E @t19)) @t59)))) % 134.48/134.70 (assume @p31 (forall @t55 (=> @t53 (tptp.ne (tptp.ty_2Ebool_2Eitself @t48))))) % 134.48/134.70 (assume @p32 (forall @t46 (=> @t45 (tptp.mem @t61 @t60)))) % 134.48/134.70 (assume @p33 (forall @t46 (=> @t45 (tptp.mem @t62 (tptp.arr @t60 tptp.ty_2Enum_2Enum))))) % 134.48/134.70 (assume @p34 (tptp.mem tptp.c_2Earithmetic_2EMOD (tptp.arr tptp.ty_2Enum_2Enum (tptp.arr tptp.ty_2Enum_2Enum tptp.ty_2Enum_2Enum)))) % 134.48/134.70 (assume @p35 (forall @t46 (=> @t45 (tptp.mem (tptp.c_2Ebool_2E_21 @t43) (tptp.arr @t63 tptp.bool))))) % 134.48/134.70 (assume @p36 (forall @t6 (=> @t5 (forall @t30 (=> (tptp.mem @t19 (tptp.arr @t3 tptp.bool)) (= (tptp.p (tptp.ap (tptp.c_2Ebool_2E_21 @t3) @t19)) (forall @t12 (=> @t11 (tptp.p (tptp.ap @t19 @t7)))))))))) % 134.48/134.70 (assume @p37 @t64) % 134.48/134.70 (assume @p38 @t67) % 134.48/134.70 (assume @p39 @t70) % 134.48/134.70 (assume @p40 (forall @t46 (=> @t45 (tptp.mem (tptp.c_2Emin_2E_3D @t43) (tptp.arr @t43 @t63))))) % 134.48/134.70 (assume @p41 (forall @t6 (=> @t5 (forall @t12 (=> @t11 (forall (@list @t33) (=> (tptp.mem @t33 @t3) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2Emin_2E_3D @t3) @t7) @t33)) (= @t7 @t33))))))))) % 134.48/134.70 (assume @p42 true) % 134.48/134.70 (assume @p43 (forall @t78 (=> @t77 (forall @t76 (=> @t75 (=> (=> @t74 @t72) (=> (=> @t72 @t74) (= @t74 @t72)))))))) % 134.48/134.70 (assume @p44 (forall (@list @t79) (=> (tptp.mem @t79 tptp.bool) (=> false (tptp.p @t79))))) % 134.48/134.70 (assume @p45 (forall @t46 (=> @t45 (forall @t82 (=> @t81 (= (= @t80 @t80) true)))))) % 134.48/134.70 (assume @p46 (forall @t46 (=> @t45 (forall @t82 (=> @t81 (forall (@list @t83) (=> (tptp.mem @t83 @t43) (= (= @t80 @t83) (= @t83 @t80))))))))) % 134.48/134.70 (assume @p47 (forall @t78 (=> @t77 (forall @t76 (=> @t75 (forall (@list @t84) (=> (tptp.mem @t84 tptp.bool) (= (=> @t74 (=> @t72 @t85)) (=> (and @t74 @t72) @t85))))))))) % 134.48/134.70 (assume @p48 (forall @t46 (=> @t45 (forall (@list @t91) (=> (tptp.mem @t91 tptp.bool) (forall (@list @t88) (=> (tptp.mem @t88 tptp.bool) (forall (@list @t90) (=> (tptp.mem @t90 @t43) (forall (@list @t87) (=> (tptp.mem @t87 @t43) (forall (@list @t89) (=> (tptp.mem @t89 @t43) (forall (@list @t86) (=> (tptp.mem @t86 @t43) (=> (and (= (tptp.p @t91) @t92) (=> @t92 (= @t90 @t87)) (=> (not @t92) (= @t89 @t86))) (= (tptp.ap (tptp.ap (tptp.ap @t44 @t91) @t90) @t89) (tptp.ap (tptp.ap (tptp.ap @t44 @t88) @t87) @t86)))))))))))))))))) % 134.48/134.70 (assume @p49 @t113) % 134.48/134.70 (assume @p50 (= @t115 @t114)) % 134.48/134.70 (assume @p51 @t141) % 134.48/134.70 (assume @p52 @t144) % 134.48/134.70 (assume @p53 @t154) % 134.48/134.70 (assume @p54 @t156) % 134.48/134.70 (assume @p55 (forall @t46 (=> @t45 (forall (@list @t159) (=> (tptp.mem @t159 tptp.ty_2Enum_2Enum) (forall (@list @t158) (=> (tptp.mem @t158 tptp.ty_2Enum_2Enum) (= (= (tptp.ap @t65 @t159) (tptp.ap @t65 @t158)) (= (tptp.ap (tptp.ap tptp.c_2Earithmetic_2EMOD @t159) @t157) (tptp.ap (tptp.ap tptp.c_2Earithmetic_2EMOD @t158) @t157)))))))))) % 134.48/134.70 (assume @p56 @t163) % 134.48/134.70 (assume @p57 @t167) % 134.48/134.70 (step @p58 :rule symm :premises (@p50)) % 134.48/134.70 (step @p59 :rule bool-impl-elim :args (@t45 @t168)) % 134.48/134.70 (step @p60 :rule cong :premises (@p59) :args ((forall @t46 (=> @t45 @t168)))) % 134.48/134.70 (step @p61 :rule eq-symm :args (@t164 @t160)) % 134.48/134.70 (step @p62 :rule refl :args (@t45)) % 134.48/134.70 (step @p63 :rule cong :premises (@p62 @p61) :args (@t165)) % 134.48/134.70 (step @p64 :rule cong :premises (@p63) :args (@t166)) % 134.48/134.70 (step @p65 :rule trans :premises (@p64 @p60)) % 134.48/134.70 (step @p66 :rule cong :premises (@p65) :args (@t167)) % 134.48/134.70 (step @p67 :rule eq_resolve :premises (@p57 @p66)) % 134.48/134.70 (step @p68 :rule skolemize :premises (@p67)) % 134.48/134.70 (step @p69 :rule cnf_or_neg :args (@t177 1)) % 134.48/134.70 (step @p70 :rule chain_m_resolution :premises (@p69 @p68) :args (@t178 @t179 @t180)) % 134.48/134.70 (step @p71 :rule bool-impl-elim :args (@t138 @t181)) % 134.48/134.70 (step @p72 :rule cong :premises (@p71) :args ((forall @t140 (=> @t138 @t181)))) % 134.48/134.70 (step @p73 :rule eq-symm :args (@t142 @t119)) % 134.48/134.70 (step @p74 :rule refl :args (@t138)) % 134.48/134.70 (step @p75 :rule cong :premises (@p74 @p73) :args (@t143)) % 134.48/134.70 (step @p76 :rule cong :premises (@p75) :args (@t144)) % 134.48/134.70 (step @p77 :rule trans :premises (@p76 @p72)) % 134.48/134.70 (step @p78 :rule eq_resolve :premises (@p52 @p77)) % 134.48/134.70 (step @p79 :rule instantiate :premises (@p78) :args (@t182)) % 134.48/134.70 (step @p80 :rule cnf_or_pos :args (@t186)) % 134.48/134.70 (step @p81 :rule reordering :premises (@p80) :args ((or @t185 @t184 (not @t186)))) % 134.48/134.70 (step @p82 :rule chain_m_resolution :premises (@p81 @p37 @p79) :args (@t184 @t187 (@list @t64 @t186))) % 134.48/134.70 (step @p83 :rule bool-impl-elim :args (@t45 @t188)) % 134.48/134.70 (step @p84 :rule cong :premises (@p83) :args ((forall @t46 (=> @t45 @t188)))) % 134.48/134.70 (step @p85 :rule eq-symm :args (@t161 @t160)) % 134.48/134.70 (step @p86 :rule cong :premises (@p62 @p85) :args (@t162)) % 134.48/134.70 (step @p87 :rule cong :premises (@p86) :args (@t163)) % 134.48/134.70 (step @p88 :rule trans :premises (@p87 @p84)) % 134.48/134.70 (step @p89 :rule eq_resolve :premises (@p56 @p88)) % 134.48/134.70 (step @p90 :rule instantiate :premises (@p89) :args (@t189)) % 134.48/134.70 (step @p91 :rule bool-double-not-elim :args (@t175)) % 134.48/134.70 (step @p92 :rule refl :args (@t177)) % 134.48/134.70 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t177 (not @t176)))) % 134.48/134.70 (step @p94 :rule cnf_or_neg :args (@t177 0)) % 134.48/134.70 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 134.48/134.70 (step @p96 :rule reordering :premises (@p95) :args ((or @t175 @t177))) % 134.48/134.70 (step @p97 :rule chain_m_resolution :premises (@p96 @p68) :args (@t175 @t179 @t180)) % 134.48/134.70 (step @p98 :rule cnf_or_pos :args (@t193)) % 134.48/134.70 (step @p99 :rule reordering :premises (@p98) :args ((or @t176 @t192 (not @t193)))) % 134.48/134.70 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p90) :args (@t192 @t187 (@list @t175 @t193))) % 134.48/134.70 (step @p101 :rule bool-impl-elim :args (@t45 @t195)) % 134.48/134.70 (step @p102 :rule cong :premises (@p101) :args ((forall @t46 (=> @t45 @t195)))) % 134.48/134.70 (step @p103 :rule bool-impl-elim :args (@t150 @t149)) % 134.48/134.70 (step @p104 :rule cong :premises (@p103) :args (@t152)) % 134.48/134.70 (step @p105 :rule cong :premises (@p62 @p104) :args (@t153)) % 134.48/134.70 (step @p106 :rule cong :premises (@p105) :args (@t154)) % 134.48/134.70 (step @p107 :rule trans :premises (@p106 @p102)) % 134.48/134.70 (step @p108 :rule eq_resolve :premises (@p53 @p107)) % 134.48/134.70 (step @p109 :rule instantiate :premises (@p108) :args (@t189)) % 134.48/134.70 (step @p110 :rule cnf_or_pos :args (@t199)) % 134.48/134.70 (step @p111 :rule reordering :premises (@p110) :args ((or @t176 @t198 (not @t199)))) % 134.48/134.70 (step @p112 :rule chain_m_resolution :premises (@p111 @p97 @p109) :args (@t198 @t187 (@list @t175 @t199))) % 134.48/134.70 (step @p113 :rule instantiate :premises (@p112) :args (@t200)) % 134.48/134.70 (step @p114 :rule bool-impl-elim :args (@t14 @t201)) % 134.48/134.70 (step @p115 :rule cong :premises (@p114) :args ((forall @t16 (=> @t14 @t201)))) % 134.48/134.70 (step @p116 :rule bool-impl-elim :args (@t11 @t10)) % 134.48/134.70 (step @p117 :rule cong :premises (@p116) :args (@t13)) % 134.48/134.70 (step @p118 :rule refl :args (@t14)) % 134.48/134.70 (step @p119 :rule cong :premises (@p118 @p117) :args (@t15)) % 134.48/134.70 (step @p120 :rule cong :premises (@p119) :args (@t17)) % 134.48/134.70 (step @p121 :rule trans :premises (@p120 @p115)) % 134.48/134.70 (step @p122 :rule eq_resolve :premises (@p4 @p121)) % 134.48/134.70 (step @p123 :rule instantiate :premises (@p122) :args ((@list tptp.ty_2Enum_2Enum tptp.ty_2Einteger_2Eint tptp.c_2Einteger_2Eint__of__num))) % 134.48/134.70 (step @p124 :rule cnf_or_pos :args (@t205)) % 134.48/134.70 (step @p125 :rule reordering :premises (@p124) :args ((or @t204 @t203 (not @t205)))) % 134.48/134.70 (step @p126 :rule chain_m_resolution :premises (@p125 @p23 @p123) :args (@t203 @t187 (@list @t40 @t205))) % 134.48/134.70 (step @p127 :rule instantiate :premises (@p126) :args (@t182)) % 134.48/134.70 (step @p128 :rule cnf_or_pos :args (@t207)) % 134.48/134.70 (step @p129 :rule reordering :premises (@p128) :args ((or @t185 @t206 (not @t207)))) % 134.48/134.70 (step @p130 :rule chain_m_resolution :premises (@p129 @p37 @p127) :args (@t206 @t187 (@list @t64 @t207))) % 134.48/134.70 (step @p131 :rule cnf_or_pos :args (@t213)) % 134.48/134.70 (step @p132 :rule reordering :premises (@p131) :args ((or @t212 @t211 (not @t213)))) % 134.48/134.70 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p113) :args (@t211 @t187 (@list @t206 @t213))) % 134.48/134.70 (step @p134 :rule bool-impl-elim :args (@t28 @t215)) % 134.48/134.70 (step @p135 :rule cong :premises (@p134) :args ((forall @t30 (=> @t28 @t215)))) % 134.48/134.70 (step @p136 :rule refl :args (@t20)) % 134.48/134.70 (step @p137 :rule eq-symm :args (@t59 @t21)) % 134.48/134.70 (step @p138 :rule refl :args (@t214)) % 134.48/134.70 (step @p139 :rule nary_cong :premises (@p138 @p137 @p136) :args (@t217)) % 134.48/134.70 (step @p140 :rule cong :premises (@p139) :args ((forall @t26 @t217))) % 134.48/134.70 (step @p141 :rule aci_norm :args ((= (or @t214 (or @t216 @t20)) @t217))) % 134.48/134.70 (step @p142 :rule refl :args (@t20)) % 134.48/134.70 (step @p143 :rule bool-not-eq-elim1 :args (@t22 @t21)) % 134.48/134.70 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or (not @t23) @t20))) % 134.48/134.70 (step @p145 :rule bool-impl-elim :args (@t23 @t20)) % 134.48/134.70 (step @p146 :rule trans :premises (@p145 @p144)) % 134.48/134.70 (step @p147 :rule refl :args (@t214)) % 134.48/134.70 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or @t214 @t24))) % 134.48/134.70 (step @p149 :rule trans :premises (@p148 @p141)) % 134.48/134.70 (step @p150 :rule bool-impl-elim :args (@t25 @t24)) % 134.48/134.70 (step @p151 :rule trans :premises (@p150 @p149)) % 134.48/134.70 (step @p152 :rule cong :premises (@p151) :args (@t27)) % 134.48/134.70 (step @p153 :rule trans :premises (@p152 @p140)) % 134.48/134.70 (step @p154 :rule refl :args (@t28)) % 134.48/134.70 (step @p155 :rule cong :premises (@p154 @p153) :args (@t29)) % 134.48/134.70 (step @p156 :rule cong :premises (@p155) :args (@t31)) % 134.48/134.70 (step @p157 :rule trans :premises (@p156 @p135)) % 134.48/134.70 (step @p158 :rule eq_resolve :premises (@p5 @p157)) % 134.48/134.70 (step @p159 :rule eq-symm :args (tptp.c_2Ebool_2EF @t18)) % 134.48/134.70 (step @p160 :rule refl :args (@t218)) % 134.48/134.70 (step @p161 :rule nary_cong :premises (@p138 @p160 @p159) :args (@t219)) % 134.48/134.70 (step @p162 :rule cong :premises (@p161) :args (@t220)) % 134.48/134.70 (step @p163 :rule refl :args (@t221)) % 134.48/134.70 (step @p164 :rule nary_cong :premises (@p163 @p162) :args (@t222)) % 134.48/134.70 (step @p165 :rule refl :args (@t223)) % 134.48/134.70 (step @p166 :rule cong :premises (@p165 @p164) :args ((=> @t223 @t222))) % 134.48/134.70 (assume-push @p484 @t223) % 134.48/134.70 (step @p168 :rule instantiate :premises (@p158) :args ((@list tptp.c_2Ebool_2EF))) % 134.48/134.70 (step-pop @p485 :rule scope :premises (@p168)) % 134.48/134.70 (step @p169 :rule process_scope :premises (@p485) :args (@t222)) % 134.48/134.70 (step @p171 :rule eq_resolve :premises (@p169 @p166)) % 134.48/134.70 (step @p172 :rule implies_elim :premises (@p171)) % 134.48/134.70 (step @p173 :rule chain_m_resolution :premises (@p172 @p158) :args (@t225 @t226 (@list @t223))) % 134.48/134.70 (step @p174 :rule cnf_or_pos :args (@t225)) % 134.48/134.70 (step @p175 :rule reordering :premises (@p174) :args ((or @t221 @t224 (not @t225)))) % 134.48/134.70 (step @p176 :rule chain_m_resolution :premises (@p175 @p13 @p173) :args (@t224 @t187 (@list @t36 @t225))) % 134.48/134.70 (step @p177 :rule eq-symm :args (@t210 tptp.c_2Ebool_2EF)) % 134.48/134.70 (step @p178 :rule eq-symm :args (@t227 @t38)) % 134.48/134.70 (step @p179 :rule refl :args (@t229)) % 134.48/134.70 (step @p180 :rule nary_cong :premises (@p179 @p178 @p177) :args (@t230)) % 134.48/134.70 (step @p181 :rule refl :args (@t224)) % 134.48/134.70 (step @p182 :rule cong :premises (@p181 @p180) :args ((=> @t224 @t230))) % 134.48/134.70 (assume-push @p486 @t224) % 134.48/134.70 (step @p184 :rule instantiate :premises (@p176) :args ((@list @t210))) % 134.48/134.70 (step-pop @p487 :rule scope :premises (@p184)) % 134.48/134.70 (step @p185 :rule process_scope :premises (@p487) :args (@t230)) % 134.48/134.70 (step @p187 :rule eq_resolve :premises (@p185 @p182)) % 134.48/134.70 (step @p188 :rule implies_elim :premises (@p187)) % 134.48/134.70 (step @p189 :rule chain_m_resolution :premises (@p188 @p176) :args (@t233 @t226 (@list @t224))) % 134.48/134.70 (step @p190 :rule bool-impl-elim :args (@t138 @t237)) % 134.48/134.70 (step @p191 :rule cong :premises (@p190) :args ((forall @t140 (=> @t138 @t237)))) % 134.48/134.70 (step @p192 :rule bool-impl-elim :args (@t134 @t235)) % 134.48/134.70 (step @p193 :rule cong :premises (@p192) :args ((forall @t136 (=> @t134 @t235)))) % 134.48/134.70 (step @p194 :rule bool-eq-false :args (@t122)) % 134.48/134.70 (step @p195 :rule eq-symm :args (@t116 tptp.c_2Enum_2E0)) % 134.48/134.70 (step @p196 :rule cong :premises (@p195) :args (@t123)) % 134.48/134.70 (step @p197 :rule eq-symm :args (@t119 tptp.c_2Enum_2E0)) % 134.48/134.70 (step @p198 :rule cong :premises (@p197) :args (@t124)) % 134.48/134.70 (step @p199 :rule nary_cong :premises (@p198 @p196) :args (@t125)) % 134.48/134.70 (step @p200 :rule refl :args (@t127)) % 134.48/134.70 (step @p201 :rule cong :premises (@p200 @p199) :args (@t128)) % 134.48/134.70 (step @p202 :rule refl :args (@t130)) % 134.48/134.70 (step @p203 :rule refl :args (@t132)) % 134.48/134.70 (step @p204 :rule nary_cong :premises (@p203 @p202 @p201 @p194) :args (@t133)) % 134.48/134.70 (step @p205 :rule refl :args (@t134)) % 134.48/134.70 (step @p206 :rule cong :premises (@p205 @p204) :args (@t135)) % 134.48/134.70 (step @p207 :rule cong :premises (@p206) :args (@t137)) % 134.48/134.70 (step @p208 :rule trans :premises (@p207 @p193)) % 134.48/134.70 (step @p209 :rule cong :premises (@p74 @p208) :args (@t139)) % 134.48/134.70 (step @p210 :rule cong :premises (@p209) :args (@t141)) % 134.48/134.70 (step @p211 :rule trans :premises (@p210 @p191)) % 134.48/134.70 (step @p212 :rule eq_resolve :premises (@p51 @p211)) % 134.48/134.70 (step @p213 :rule refl :args (@t238)) % 134.48/134.70 (step @p214 :rule eq-symm :args (@t240 @t234)) % 134.48/134.70 (step @p215 :rule aci_norm :args ((= (or false @t234) @t234))) % 134.48/134.70 (step @p216 :rule refl :args (@t234)) % 134.48/134.70 (step @p217 :rule evaluate :args ((not true))) % 134.48/134.70 (step @p218 :rule eq-refl :args (tptp.c_2Enum_2E0)) % 134.48/134.70 (step @p219 :rule cong :premises (@p218) :args (@t241)) % 134.48/134.70 (step @p220 :rule trans :premises (@p219 @p217)) % 134.48/134.70 (step @p221 :rule nary_cong :premises (@p220 @p216) :args (@t242)) % 134.48/134.70 (step @p222 :rule trans :premises (@p221 @p215)) % 134.48/134.70 (step @p223 :rule refl :args (@t240)) % 134.48/134.70 (step @p224 :rule cong :premises (@p223 @p222) :args (@t243)) % 134.48/134.70 (step @p225 :rule trans :premises (@p224 @p214)) % 134.48/134.70 (step @p226 :rule refl :args (@t244)) % 134.48/134.70 (step @p227 :rule refl :args (@t246)) % 134.48/134.70 (step @p228 :rule nary_cong :premises (@p227 @p226 @p225 @p213) :args (@t247)) % 134.48/134.70 (step @p229 :rule refl :args (@t236)) % 134.48/134.70 (step @p230 :rule nary_cong :premises (@p229 @p228) :args (@t248)) % 134.48/134.70 (step @p231 :rule cong :premises (@p230) :args (@t249)) % 134.48/134.70 (step @p232 :rule refl :args (@t185)) % 134.48/134.70 (step @p233 :rule nary_cong :premises (@p232 @p231) :args (@t250)) % 134.48/134.70 (step @p234 :rule refl :args (@t251)) % 134.48/134.70 (step @p235 :rule cong :premises (@p234 @p233) :args ((=> @t251 @t250))) % 134.48/134.70 (assume-push @p488 @t251) % 134.48/134.70 (step @p237 :rule instantiate :premises (@p212) :args (@t182)) % 134.48/134.70 (step-pop @p489 :rule scope :premises (@p237)) % 134.48/134.70 (step @p238 :rule process_scope :premises (@p489) :args (@t250)) % 134.48/134.70 (step @p240 :rule eq_resolve :premises (@p238 @p235)) % 134.48/134.70 (step @p241 :rule implies_elim :premises (@p240)) % 134.48/134.70 (step @p242 :rule chain_m_resolution :premises (@p241 @p212) :args (@t253 @t226 (@list @t251))) % 134.48/134.70 (step @p243 :rule cnf_or_pos :args (@t253)) % 134.48/134.70 (step @p244 :rule reordering :premises (@p243) :args ((or @t185 @t252 (not @t253)))) % 134.48/134.70 (step @p245 :rule chain_m_resolution :premises (@p244 @p37 @p242) :args (@t252 @t187 (@list @t64 @t253))) % 134.48/134.70 (step @p246 :rule refl :args (@t255)) % 134.48/134.70 (step @p247 :rule bool-eq-false :args (@t256)) % 134.48/134.70 (step @p248 :rule eq-symm :args (false @t256)) % 134.48/134.70 (step @p249 :rule trans :premises (@p248 @p247)) % 134.48/134.70 (step @p250 :rule refl :args (@t256)) % 134.48/134.70 (step @p251 :rule cong :premises (@p220 @p250) :args (@t257)) % 134.48/134.70 (step @p252 :rule trans :premises (@p251 @p249)) % 134.48/134.70 (step @p253 :rule eq-symm :args (@t259 @t260)) % 134.48/134.70 (step @p254 :rule eq-symm :args (@t227 @t260)) % 134.48/134.70 (step @p255 :rule nary_cong :premises (@p254 @p253 @p252 @p246) :args (@t261)) % 134.48/134.70 (step @p256 :rule nary_cong :premises (@p232 @p255) :args (@t262)) % 134.48/134.70 (step @p257 :rule refl :args (@t252)) % 134.48/134.70 (step @p258 :rule cong :premises (@p257 @p256) :args ((=> @t252 @t262))) % 134.48/134.70 (assume-push @p490 @t252) % 134.48/134.70 (step @p260 :rule instantiate :premises (@p245) :args (@t182)) % 134.48/134.70 (step-pop @p491 :rule scope :premises (@p260)) % 134.48/134.70 (step @p261 :rule process_scope :premises (@p491) :args (@t262)) % 134.48/134.70 (step @p263 :rule eq_resolve :premises (@p261 @p258)) % 134.48/134.70 (step @p264 :rule implies_elim :premises (@p263)) % 134.48/134.70 (step @p265 :rule chain_m_resolution :premises (@p264 @p245) :args (@t265 @t226 (@list @t252))) % 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:args (@t191)) % 134.48/134.70 (step @p448 :rule refl :args (@t197)) % 134.48/134.70 (step @p449 :rule cong :premises (@p448 @p328) :args (@t299)) % 134.48/134.70 (step @p450 :rule cong :premises (@p449 @p447) :args (@t321)) % 134.48/134.70 (step @p451 :rule cong :premises (@p450 @p441) :args (@t325)) % 134.48/134.70 (step @p452 :rule trans :premises (@p451 @p437)) % 134.48/134.70 (step @p453 :rule cong :premises (@p440 @p452) :args (@t326)) % 134.48/134.70 (step @p454 :rule trans :premises (@p453 @p436)) % 134.48/134.70 (step @p455 :rule symm :premises (@p454)) % 134.48/134.70 (step @p456 :rule trans :premises (@p455 @p435)) % 134.48/134.70 (step @p457 false :rule eq_resolve :premises (@p456 @p434)) % 134.48/134.70 (step-pop @p494 :rule scope :premises (@p457)) % 134.48/134.70 (step-pop @p495 :rule scope :premises (@p494)) % 134.48/134.70 (step @p458 :rule process_scope :premises (@p495) :args (false)) % 134.48/134.70 (assume-push @p496 @t333) % 134.48/134.70 (assume-push @p497 @t178) % 134.48/134.70 (assume-push @p498 @t184) % 134.48/134.70 (assume-push @p499 @t192) % 134.48/134.70 (assume-push @p500 @t231) % 134.48/134.70 (assume-push @p501 @t211) % 134.48/134.70 (assume-push @p502 @t326) % 134.48/134.70 (step @p436 :rule false_intro :premises (@p70)) % 134.48/134.70 (step @p437 :rule symm :premises (@p133)) % 134.48/134.70 (step @p438 :rule refl :args (@t172)) % 134.48/134.70 (step @p439 :rule cong :premises (@p438 @p82) :args (@t173)) % 134.48/134.70 (step @p440 :rule symm :premises (@p100)) % 134.48/134.70 (step @p441 :rule trans :premises (@p440 @p439)) % 134.48/134.70 (step @p442 :rule refl :args (tptp.c_2Einteger_2ENum)) % 134.48/134.70 (step @p443 :rule cong :premises (@p442 @p58) :args (@t183)) % 134.48/134.70 (step @p444 :rule cong :premises (@p438 @p443) :args (@t208)) % 134.48/134.70 (step @p445 :rule trans :premises (@p439 @p444)) % 134.48/134.70 (step @p446 :rule refl :args (@t190)) % 134.48/134.70 (step @p447 :rule cong :premises (@p446 @p445) :args (@t191)) % 134.48/134.70 (step @p448 :rule refl :args (@t197)) % 134.48/134.70 (step @p449 :rule cong :premises (@p448 @p328) :args (@t299)) % 134.48/134.70 (step @p450 :rule cong :premises (@p449 @p447) :args (@t321)) % 134.48/134.70 (step @p451 :rule cong :premises (@p450 @p441) :args (@t325)) % 134.48/134.70 (step @p452 :rule trans :premises (@p451 @p437)) % 134.48/134.70 (step @p453 :rule cong :premises (@p440 @p452) :args (@t326)) % 134.48/134.70 (step @p468 :rule trans :premises (@p453 @p436)) % 134.48/134.70 (step @p469 :rule false_elim :premises (@p468)) % 134.48/134.70 (step @p470 :rule and_intro :premises (@p469 @p423)) % 134.48/134.70 (step-pop @p503 :rule scope :premises (@p470)) % 134.48/134.70 (step-pop @p504 :rule scope :premises (@p503)) % 134.48/134.70 (step-pop @p505 :rule scope :premises (@p504)) % 134.48/134.70 (step-pop @p506 :rule scope :premises (@p505)) % 134.48/134.70 (step-pop @p507 :rule scope :premises (@p506)) % 134.48/134.71 (step-pop @p508 :rule scope :premises (@p507)) % 134.48/134.71 (step-pop @p509 :rule scope :premises (@p508)) % 134.48/134.71 (step @p471 :rule process_scope :premises (@p509) :args (@t335)) % 134.48/134.71 (step @p479 :rule implies_elim :premises (@p471)) % 134.48/134.71 (step @p480 :rule resolution :premises (@p479 @p458) :args (true @t335)) % 134.48/134.71 (step @p481 :rule not_and :premises (@p480)) % 134.48/134.71 (step @p482 :rule eq_resolve :premises (@p481 @p431)) % 134.48/134.71 (step @p483 false :rule chain_m_resolution :premises (@p482 @p423 @p328 @p133 @p100 @p82 @p70 @p58) :args (false (@list false false false false false true false) (@list @t326 @t231 @t211 @t192 @t184 @t174 @t333))) % 134.48/134.71 ) % 134.48/134.71 % SZS output end Proof % 134.48/134.71 % cvc5 exiting %------------------------------------------------------------------------------