%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP015^2 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 0.95s 1.16s % Output : Proof 0.95s % 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. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n007.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 03:52:56 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TH0 % 0.95/1.16 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.95/1.16 % SZS status Theorem % 0.95/1.16 % SZS output start Proof % 0.95/1.16 ( % 0.95/1.16 (declare-sort tptp.tp__ty_2Enum_2Enum 0) % 0.95/1.16 (declare-sort tptp.tp__ty_2Einteger_2Eint 0) % 0.95/1.16 (declare-sort tptp.del 0) % 0.95/1.16 (declare-sort $$unsorted 0) % 0.95/1.16 (declare-const tptp.c_2Ewords_2En2w (-> tptp.del $$unsorted)) % 0.95/1.16 (declare-const tptp.c_2Ebool_2E_21 (-> tptp.del $$unsorted)) % 0.95/1.16 (declare-const tptp.fo__c_2Earithmetic_2EMOD (-> tptp.tp__ty_2Enum_2Enum tptp.tp__ty_2Enum_2Enum tptp.tp__ty_2Enum_2Enum)) % 0.95/1.16 (declare-const tptp.c_2Earithmetic_2EMOD $$unsorted) % 0.95/1.16 (declare-const tptp.c_2Ewords_2Edimword (-> tptp.del $$unsorted)) % 0.95/1.16 (declare-const tptp.ty_2Ebool_2Eitself (-> tptp.del tptp.del)) % 0.95/1.16 (declare-const tptp.c_2Emin_2E_3D (-> tptp.del $$unsorted)) % 0.95/1.16 (declare-const tptp.c_2Ebool_2EF $$unsorted) % 0.95/1.16 (declare-const tptp.c_2Eprim__rec_2E_3C $$unsorted) % 0.95/1.16 (declare-const tptp.c_2Ebool_2ET $$unsorted) % 0.95/1.16 (declare-const tptp.inj__ty_2Enum_2Enum (-> tptp.tp__ty_2Enum_2Enum $$unsorted)) % 0.95/1.16 (declare-const tptp.c_2Emin_2E_3D_3D_3E $$unsorted) % 0.95/1.16 (declare-const tptp.fo__c_2Enum_2E0 tptp.tp__ty_2Enum_2Enum) % 0.95/1.16 (declare-const tptp.c_2Ebool_2Ethe__value (-> tptp.del $$unsorted)) % 0.95/1.16 (declare-const tptp.arr (-> tptp.del tptp.del tptp.del)) % 0.95/1.16 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.16 (declare-const tptp.ty_2Enum_2Enum tptp.del) % 0.95/1.16 (declare-const tptp.inj__ty_2Einteger_2Eint (-> tptp.tp__ty_2Einteger_2Eint $$unsorted)) % 0.95/1.16 (declare-const tptp.mem (-> $$unsorted tptp.del Bool)) % 0.95/1.16 (declare-const tptp.c_2Ebool_2E_5C_2F $$unsorted) % 0.95/1.16 (declare-const tptp.c_2Enum_2E0 $$unsorted) % 0.95/1.16 (declare-const tptp.bool tptp.del) % 0.95/1.16 (declare-const tptp.c_2Ewords_2Eword__2comp (-> tptp.del $$unsorted)) % 0.95/1.16 (declare-const tptp.p (-> $$unsorted Bool)) % 0.95/1.16 (declare-const tptp.surj__ty_2Enum_2Enum (-> $$unsorted tptp.tp__ty_2Enum_2Enum)) % 0.95/1.16 (declare-const tptp.c_2Einteger_2Eint__neg $$unsorted) % 0.95/1.16 (declare-const tptp.inj__o (-> Bool $$unsorted)) % 0.95/1.16 (declare-const tptp.surj__ty_2Einteger_2Eint (-> $$unsorted tptp.tp__ty_2Einteger_2Eint)) % 0.95/1.16 (declare-const tptp.fo__c_2Einteger_2ENum (-> tptp.tp__ty_2Einteger_2Eint tptp.tp__ty_2Enum_2Enum)) % 0.95/1.16 (declare-const tptp.c_2Ebool_2ECOND (-> tptp.del $$unsorted)) % 0.95/1.16 (declare-const tptp.ty_2Einteger_2Eint tptp.del) % 0.95/1.16 (declare-const tptp.c_2Ebool_2E_7E $$unsorted) % 0.95/1.16 (declare-const tptp.c_2Einteger_2ENum $$unsorted) % 0.95/1.16 (declare-const tptp.c_2Einteger_2Eint__of__num $$unsorted) % 0.95/1.16 (declare-const tptp.lam (-> tptp.del (-> $$unsorted $$unsorted) $$unsorted)) % 0.95/1.16 (declare-const tptp.fo__c_2Einteger_2Eint__of__num (-> tptp.tp__ty_2Enum_2Enum tptp.tp__ty_2Einteger_2Eint)) % 0.95/1.16 (declare-const tptp.fo__c_2Einteger_2Eint__neg (-> tptp.tp__ty_2Einteger_2Eint tptp.tp__ty_2Einteger_2Eint)) % 0.95/1.16 (declare-const tptp.c_2Einteger_2Eint__lt $$unsorted) % 0.95/1.16 (declare-const tptp.ty_2Efcp_2Ecart (-> tptp.del tptp.del tptp.del)) % 0.95/1.16 (declare-const tptp.c_2Ebool_2E_2F_5C $$unsorted) % 0.95/1.16 (declare-const tptp.c_2Einteger__word_2Ei2w (-> tptp.del $$unsorted)) % 0.95/1.16 (define @t1 () (@var "X" Bool)) % 0.95/1.16 (define @t2 () (_ tptp.inj__o @t1)) % 0.95/1.16 (define @t3 () (@list @t1)) % 0.95/1.16 (define @t4 () (@var "X" $$unsorted)) % 0.95/1.16 (define @t5 () (_ tptp.p @t4)) % 0.95/1.16 (define @t6 () (_ tptp.inj__o @t5)) % 0.95/1.16 (define @t7 () (= @t4 @t6)) % 0.95/1.16 (define @t8 () (_ tptp.mem @t4)) % 0.95/1.16 (define @t9 () (_ @t8 tptp.bool)) % 0.95/1.16 (define @t10 () (@list @t4)) % 0.95/1.16 (define @t11 () (forall @t10 (=> @t9 @t7))) % 0.95/1.16 (define @t12 () (@var "B" tptp.del)) % 0.95/1.16 (define @t13 () (@var "F" $$unsorted)) % 0.95/1.16 (define @t14 () (_ (_ tptp.ap @t13) @t4)) % 0.95/1.16 (define @t15 () (_ (_ tptp.mem @t14) @t12)) % 0.95/1.16 (define @t16 () (@var "A" tptp.del)) % 0.95/1.16 (define @t17 () (_ @t8 @t16)) % 0.95/1.16 (define @t18 () (forall @t10 (=> @t17 @t15))) % 0.95/1.16 (define @t19 () (_ tptp.arr @t16)) % 0.95/1.16 (define @t20 () (_ @t19 @t12)) % 0.95/1.16 (define @t21 () (_ tptp.mem @t13)) % 0.95/1.16 (define @t22 () (_ @t21 @t20)) % 0.95/1.16 (define @t23 () (=> @t22 @t18)) % 0.95/1.16 (define @t24 () (@list @t16 @t12 @t13)) % 0.95/1.16 (define @t25 () (forall @t24 @t23)) % 0.95/1.16 (define @t26 () (@var "F" (-> $$unsorted $$unsorted))) % 0.95/1.16 (define @t27 () (_ (_ tptp.lam @t16) @t26)) % 0.95/1.16 (define @t28 () (_ @t26 @t4)) % 0.95/1.16 (define @t29 () (@var "G" $$unsorted)) % 0.95/1.16 (define @t30 () (_ tptp.arr tptp.bool)) % 0.95/1.16 (define @t31 () (_ @t30 tptp.bool)) % 0.95/1.16 (define @t32 () (_ @t30 @t31)) % 0.95/1.16 (define @t33 () (@var "R" $$unsorted)) % 0.95/1.16 (define @t34 () (_ tptp.p @t33)) % 0.95/1.16 (define @t35 () (@var "Q" $$unsorted)) % 0.95/1.16 (define @t36 () (_ tptp.p @t35)) % 0.95/1.16 (define @t37 () (_ (_ tptp.mem @t33) tptp.bool)) % 0.95/1.16 (define @t38 () (@list @t33)) % 0.95/1.16 (define @t39 () (_ tptp.mem @t35)) % 0.95/1.16 (define @t40 () (_ @t39 tptp.bool)) % 0.95/1.16 (define @t41 () (@list @t35)) % 0.95/1.16 (define @t42 () (_ (_ tptp.mem tptp.c_2Ebool_2EF) tptp.bool)) % 0.95/1.16 (define @t43 () (_ tptp.p tptp.c_2Ebool_2EF)) % 0.95/1.16 (define @t44 () (not @t43)) % 0.95/1.16 (define @t45 () (@var "X" tptp.tp__ty_2Einteger_2Eint)) % 0.95/1.16 (define @t46 () (_ tptp.inj__ty_2Einteger_2Eint @t45)) % 0.95/1.16 (define @t47 () (@list @t45)) % 0.95/1.16 (define @t48 () (_ tptp.surj__ty_2Einteger_2Eint @t4)) % 0.95/1.16 (define @t49 () (_ tptp.inj__ty_2Einteger_2Eint @t48)) % 0.95/1.16 (define @t50 () (= @t4 @t49)) % 0.95/1.16 (define @t51 () (_ @t8 tptp.ty_2Einteger_2Eint)) % 0.95/1.16 (define @t52 () (forall @t10 (=> @t51 @t50))) % 0.95/1.16 (define @t53 () (_ tptp.arr tptp.ty_2Einteger_2Eint)) % 0.95/1.16 (define @t54 () (_ @t53 tptp.ty_2Einteger_2Eint)) % 0.95/1.16 (define @t55 () (_ tptp.mem tptp.c_2Einteger_2Eint__neg)) % 0.95/1.16 (define @t56 () (_ @t55 @t54)) % 0.95/1.16 (define @t57 () (@var "X0" tptp.tp__ty_2Einteger_2Eint)) % 0.95/1.16 (define @t58 () (_ tptp.inj__ty_2Einteger_2Eint @t57)) % 0.95/1.16 (define @t59 () (_ tptp.ap tptp.c_2Einteger_2Eint__neg)) % 0.95/1.16 (define @t60 () (@list @t57)) % 0.95/1.16 (define @t61 () (@var "X" tptp.tp__ty_2Enum_2Enum)) % 0.95/1.16 (define @t62 () (_ tptp.inj__ty_2Enum_2Enum @t61)) % 0.95/1.16 (define @t63 () (@list @t61)) % 0.95/1.16 (define @t64 () (_ tptp.surj__ty_2Enum_2Enum @t4)) % 0.95/1.16 (define @t65 () (_ tptp.inj__ty_2Enum_2Enum @t64)) % 0.95/1.16 (define @t66 () (= @t4 @t65)) % 0.95/1.16 (define @t67 () (_ @t8 tptp.ty_2Enum_2Enum)) % 0.95/1.16 (define @t68 () (forall @t10 (=> @t67 @t66))) % 0.95/1.16 (define @t69 () (_ @t53 tptp.ty_2Enum_2Enum)) % 0.95/1.16 (define @t70 () (_ tptp.mem tptp.c_2Einteger_2ENum)) % 0.95/1.16 (define @t71 () (_ @t70 @t69)) % 0.95/1.16 (define @t72 () (_ tptp.ap tptp.c_2Einteger_2ENum)) % 0.95/1.16 (define @t73 () (_ tptp.arr tptp.ty_2Enum_2Enum)) % 0.95/1.16 (define @t74 () (_ @t73 tptp.ty_2Einteger_2Eint)) % 0.95/1.16 (define @t75 () (_ tptp.mem tptp.c_2Einteger_2Eint__of__num)) % 0.95/1.16 (define @t76 () (_ @t75 @t74)) % 0.95/1.16 (define @t77 () (@var "X0" tptp.tp__ty_2Enum_2Enum)) % 0.95/1.16 (define @t78 () (_ tptp.inj__ty_2Enum_2Enum @t77)) % 0.95/1.16 (define @t79 () (_ tptp.ap tptp.c_2Einteger_2Eint__of__num)) % 0.95/1.16 (define @t80 () (_ @t53 tptp.bool)) % 0.95/1.16 (define @t81 () (_ @t53 @t80)) % 0.95/1.16 (define @t82 () (_ tptp.mem tptp.c_2Einteger_2Eint__lt)) % 0.95/1.16 (define @t83 () (_ @t82 @t81)) % 0.95/1.16 (define @t84 () (@var "A_27a" tptp.del)) % 0.95/1.16 (define @t85 () (_ tptp.arr @t84)) % 0.95/1.16 (define @t86 () (_ tptp.c_2Ebool_2ECOND @t84)) % 0.95/1.16 (define @t87 () (@list @t84)) % 0.95/1.16 (define @t88 () (_ (_ tptp.ty_2Efcp_2Ecart tptp.bool) @t84)) % 0.95/1.16 (define @t89 () (_ tptp.c_2Einteger__word_2Ei2w @t84)) % 0.95/1.16 (define @t90 () (_ tptp.ty_2Ebool_2Eitself @t84)) % 0.95/1.16 (define @t91 () (_ tptp.c_2Ebool_2Ethe__value @t84)) % 0.95/1.16 (define @t92 () (_ tptp.c_2Ewords_2Edimword @t84)) % 0.95/1.16 (define @t93 () (@var "X1" tptp.tp__ty_2Enum_2Enum)) % 0.95/1.16 (define @t94 () (_ tptp.ap tptp.c_2Earithmetic_2EMOD)) % 0.95/1.16 (define @t95 () (_ @t85 tptp.bool)) % 0.95/1.16 (define @t96 () (_ tptp.inj__ty_2Enum_2Enum tptp.fo__c_2Enum_2E0)) % 0.95/1.16 (define @t97 () (_ @t73 @t88)) % 0.95/1.16 (define @t98 () (_ tptp.c_2Ewords_2En2w @t84)) % 0.95/1.16 (define @t99 () (_ (_ tptp.mem @t98) @t97)) % 0.95/1.16 (define @t100 () (forall @t87 @t99)) % 0.95/1.16 (define @t101 () (_ tptp.c_2Ewords_2Eword__2comp @t84)) % 0.95/1.16 (define @t102 () (@var "Y" $$unsorted)) % 0.95/1.16 (define @t103 () (@var "V1t2" $$unsorted)) % 0.95/1.16 (define @t104 () (_ tptp.p @t103)) % 0.95/1.16 (define @t105 () (@var "V0t1" $$unsorted)) % 0.95/1.16 (define @t106 () (_ tptp.p @t105)) % 0.95/1.16 (define @t107 () (_ tptp.mem @t103)) % 0.95/1.16 (define @t108 () (_ @t107 tptp.bool)) % 0.95/1.16 (define @t109 () (@list @t103)) % 0.95/1.16 (define @t110 () (_ tptp.mem @t105)) % 0.95/1.16 (define @t111 () (_ @t110 tptp.bool)) % 0.95/1.16 (define @t112 () (@list @t105)) % 0.95/1.16 (define @t113 () (@var "V0t" $$unsorted)) % 0.95/1.16 (define @t114 () (@var "V0x" $$unsorted)) % 0.95/1.16 (define @t115 () (_ (_ tptp.mem @t114) @t84)) % 0.95/1.16 (define @t116 () (@list @t84 @t114)) % 0.95/1.16 (define @t117 () (@var "V1y" $$unsorted)) % 0.95/1.16 (define @t118 () (@var "V2t3" $$unsorted)) % 0.95/1.16 (define @t119 () (_ tptp.p @t118)) % 0.95/1.16 (define @t120 () (@var "V5y_27" $$unsorted)) % 0.95/1.16 (define @t121 () (@var "V3x_27" $$unsorted)) % 0.95/1.16 (define @t122 () (@var "V1Q" $$unsorted)) % 0.95/1.16 (define @t123 () (_ tptp.ap @t86)) % 0.95/1.16 (define @t124 () (@var "V4y" $$unsorted)) % 0.95/1.16 (define @t125 () (@var "V2x" $$unsorted)) % 0.95/1.16 (define @t126 () (@var "V0P" $$unsorted)) % 0.95/1.16 (define @t127 () (_ tptp.p @t122)) % 0.95/1.16 (define @t128 () (@var "V3t2" $$unsorted)) % 0.95/1.16 (define @t129 () (@var "V2t1" $$unsorted)) % 0.95/1.16 (define @t130 () (_ @t123 tptp.c_2Ebool_2EF)) % 0.95/1.16 (define @t131 () (_ (_ tptp.ap @t130) @t129)) % 0.95/1.16 (define @t132 () (_ (_ tptp.ap @t131) @t128)) % 0.95/1.16 (define @t133 () (_ (_ tptp.mem @t128) @t84)) % 0.95/1.16 (define @t134 () (=> @t133 (= @t132 @t128))) % 0.95/1.16 (define @t135 () (@list @t128)) % 0.95/1.16 (define @t136 () (forall @t135 @t134)) % 0.95/1.16 (define @t137 () (_ (_ tptp.mem @t129) @t84)) % 0.95/1.16 (define @t138 () (=> @t137 @t136)) % 0.95/1.16 (define @t139 () (@list @t129)) % 0.95/1.16 (define @t140 () (forall @t139 @t138)) % 0.95/1.16 (define @t141 () (_ @t123 tptp.c_2Ebool_2ET)) % 0.95/1.16 (define @t142 () (_ (_ tptp.ap @t141) @t105)) % 0.95/1.16 (define @t143 () (_ (_ tptp.ap @t142) @t103)) % 0.95/1.16 (define @t144 () (_ @t107 @t84)) % 0.95/1.16 (define @t145 () (=> @t144 (= @t143 @t105))) % 0.95/1.16 (define @t146 () (forall @t109 @t145)) % 0.95/1.16 (define @t147 () (_ @t110 @t84)) % 0.95/1.16 (define @t148 () (=> @t147 @t146)) % 0.95/1.16 (define @t149 () (forall @t112 @t148)) % 0.95/1.16 (define @t150 () (and @t149 @t140)) % 0.95/1.16 (define @t151 () (forall @t87 @t150)) % 0.95/1.16 (define @t152 () (_ @t79 @t96)) % 0.95/1.16 (define @t153 () (_ tptp.surj__ty_2Einteger_2Eint @t152)) % 0.95/1.16 (define @t154 () (_ @t59 @t152)) % 0.95/1.16 (define @t155 () (_ tptp.surj__ty_2Einteger_2Eint @t154)) % 0.95/1.16 (define @t156 () (= @t155 @t153)) % 0.95/1.16 (define @t157 () (@var "V1m" tptp.tp__ty_2Enum_2Enum)) % 0.95/1.16 (define @t158 () (_ tptp.inj__ty_2Enum_2Enum @t157)) % 0.95/1.16 (define @t159 () (_ @t79 @t158)) % 0.95/1.16 (define @t160 () (_ @t59 @t159)) % 0.95/1.16 (define @t161 () (@var "V0n" tptp.tp__ty_2Enum_2Enum)) % 0.95/1.16 (define @t162 () (_ tptp.inj__ty_2Enum_2Enum @t161)) % 0.95/1.16 (define @t163 () (_ @t79 @t162)) % 0.95/1.16 (define @t164 () (_ tptp.ap tptp.c_2Einteger_2Eint__lt)) % 0.95/1.16 (define @t165 () (_ tptp.ap (_ @t164 @t163))) % 0.95/1.16 (define @t166 () (_ tptp.p (_ @t165 @t160))) % 0.95/1.16 (define @t167 () (not (= @t157 tptp.fo__c_2Enum_2E0))) % 0.95/1.16 (define @t168 () (not (= @t161 tptp.fo__c_2Enum_2E0))) % 0.95/1.16 (define @t169 () (or @t168 @t167)) % 0.95/1.16 (define @t170 () (_ tptp.ap (_ @t164 (_ @t59 @t163)))) % 0.95/1.16 (define @t171 () (_ tptp.p (_ @t170 @t159))) % 0.95/1.16 (define @t172 () (= @t171 @t169)) % 0.95/1.16 (define @t173 () (_ tptp.ap tptp.c_2Eprim__rec_2E_3C)) % 0.95/1.16 (define @t174 () (= (_ tptp.p (_ @t170 @t160)) (_ tptp.p (_ (_ tptp.ap (_ @t173 @t158)) @t162)))) % 0.95/1.16 (define @t175 () (_ @t173 @t162)) % 0.95/1.16 (define @t176 () (_ tptp.ap @t175)) % 0.95/1.16 (define @t177 () (= (_ tptp.p (_ @t165 @t159)) (_ tptp.p (_ @t176 @t158)))) % 0.95/1.16 (define @t178 () (and @t177 @t174 @t172 (= @t166 false))) % 0.95/1.16 (define @t179 () (@list @t161 @t157)) % 0.95/1.16 (define @t180 () (forall @t179 @t178)) % 0.95/1.16 (define @t181 () (_ @t72 @t163)) % 0.95/1.16 (define @t182 () (_ tptp.surj__ty_2Enum_2Enum @t181)) % 0.95/1.16 (define @t183 () (@list @t161)) % 0.95/1.16 (define @t184 () (forall @t183 (= @t182 @t161))) % 0.95/1.16 (define @t185 () (@var "V0i" tptp.tp__ty_2Einteger_2Eint)) % 0.95/1.16 (define @t186 () (_ tptp.inj__ty_2Einteger_2Eint @t185)) % 0.95/1.16 (define @t187 () (_ @t72 @t186)) % 0.95/1.16 (define @t188 () (_ tptp.ap @t98)) % 0.95/1.16 (define @t189 () (_ @t188 @t187)) % 0.95/1.16 (define @t190 () (_ @t59 @t186)) % 0.95/1.16 (define @t191 () (_ @t72 @t190)) % 0.95/1.16 (define @t192 () (_ @t188 @t191)) % 0.95/1.16 (define @t193 () (_ tptp.ap @t101)) % 0.95/1.16 (define @t194 () (_ @t193 @t192)) % 0.95/1.16 (define @t195 () (_ @t164 @t186)) % 0.95/1.16 (define @t196 () (_ (_ tptp.ap @t195) @t152)) % 0.95/1.16 (define @t197 () (_ tptp.c_2Ebool_2ECOND @t88)) % 0.95/1.16 (define @t198 () (_ (_ tptp.ap @t197) @t196)) % 0.95/1.16 (define @t199 () (_ (_ tptp.ap @t198) @t194)) % 0.95/1.16 (define @t200 () (_ (_ tptp.ap @t199) @t189)) % 0.95/1.16 (define @t201 () (_ tptp.ap @t89)) % 0.95/1.16 (define @t202 () (_ @t201 @t186)) % 0.95/1.16 (define @t203 () (= @t202 @t200)) % 0.95/1.16 (define @t204 () (forall (@list @t84 @t185) @t203)) % 0.95/1.16 (define @t205 () (_ @t176 @t96)) % 0.95/1.16 (define @t206 () (_ tptp.p @t205)) % 0.95/1.16 (define @t207 () (not @t206)) % 0.95/1.16 (define @t208 () (forall @t183 @t207)) % 0.95/1.16 (define @t209 () (_ (_ tptp.ap @t92) @t91)) % 0.95/1.16 (define @t210 () (@var "V1n" tptp.tp__ty_2Enum_2Enum)) % 0.95/1.16 (define @t211 () (_ tptp.inj__ty_2Enum_2Enum @t210)) % 0.95/1.16 (define @t212 () (@var "V0m" tptp.tp__ty_2Enum_2Enum)) % 0.95/1.16 (define @t213 () (_ tptp.inj__ty_2Enum_2Enum @t212)) % 0.95/1.16 (define @t214 () (_ @t188 @t96)) % 0.95/1.16 (define @t215 () (_ @t193 @t214)) % 0.95/1.16 (define @t216 () (forall @t87 (= @t215 @t214))) % 0.95/1.16 (define @t217 () (_ @t201 @t152)) % 0.95/1.16 (define @t218 () (forall @t87 (= @t217 @t214))) % 0.95/1.16 (define @t219 () (not @t218)) % 0.95/1.16 (define @t220 () (tptp.inj__ty_2Enum_2Enum tptp.fo__c_2Enum_2E0)) % 0.95/1.16 (define @t221 () (tptp.ap tptp.c_2Einteger_2Eint__of__num @t220)) % 0.95/1.16 (define @t222 () (tptp.c_2Einteger__word_2Ei2w @t84)) % 0.95/1.16 (define @t223 () (tptp.ap @t222 @t221)) % 0.95/1.16 (define @t224 () (_ tptp.ap @t222)) % 0.95/1.16 (define @t225 () (tptp.c_2Ewords_2En2w @t84)) % 0.95/1.16 (define @t226 () (tptp.ap @t225 @t220)) % 0.95/1.16 (define @t227 () (_ tptp.ap @t225)) % 0.95/1.16 (define @t228 () (= @t214 @t217)) % 0.95/1.16 (define @t229 () (tptp.surj__ty_2Einteger_2Eint @t4)) % 0.95/1.16 (define @t230 () (tptp.inj__ty_2Einteger_2Eint @t229)) % 0.95/1.16 (define @t231 () (tptp.mem @t4 tptp.ty_2Einteger_2Eint)) % 0.95/1.16 (define @t232 () (not @t51)) % 0.95/1.16 (define @t233 () (or @t232 @t50)) % 0.95/1.16 (define @t234 () (@var "BOUND_VARIABLE_8093" $$unsorted)) % 0.95/1.16 (define @t235 () (tptp.mem (tptp.ap @t13 @t234) @t12)) % 0.95/1.16 (define @t236 () (not (tptp.mem @t234 @t16))) % 0.95/1.16 (define @t237 () (tptp.arr @t16 @t12)) % 0.95/1.16 (define @t238 () (tptp.mem @t13 @t237)) % 0.95/1.16 (define @t239 () (not @t238)) % 0.95/1.16 (define @t240 () (or @t236 @t235)) % 0.95/1.16 (define @t241 () (or @t239 @t240)) % 0.95/1.16 (define @t242 () (forall (@list @t16 @t12 @t13 @t234) @t241)) % 0.95/1.16 (define @t243 () (@list @t234)) % 0.95/1.16 (define @t244 () (forall @t243 @t241)) % 0.95/1.16 (define @t245 () (forall @t243 @t240)) % 0.95/1.16 (define @t246 () (or @t239 @t245)) % 0.95/1.16 (define @t247 () (tptp.ap @t13 @t4)) % 0.95/1.16 (define @t248 () (tptp.mem @t247 @t12)) % 0.95/1.16 (define @t249 () (tptp.mem @t4 @t16)) % 0.95/1.16 (define @t250 () (forall @t10 (or (not @t249) @t248))) % 0.95/1.16 (define @t251 () (not @t22)) % 0.95/1.16 (define @t252 () (or @t251 @t250)) % 0.95/1.16 (define @t253 () (not @t17)) % 0.95/1.16 (define @t254 () (or @t253 @t15)) % 0.95/1.16 (define @t255 () (tptp.mem @t220 tptp.ty_2Enum_2Enum)) % 0.95/1.16 (define @t256 () (tptp.arr tptp.ty_2Enum_2Enum tptp.ty_2Einteger_2Eint)) % 0.95/1.16 (define @t257 () (tptp.mem tptp.c_2Einteger_2Eint__of__num @t256)) % 0.95/1.16 (define @t258 () (tptp.mem @t221 tptp.ty_2Einteger_2Eint)) % 0.95/1.16 (define @t259 () (not @t255)) % 0.95/1.16 (define @t260 () (not @t257)) % 0.95/1.16 (define @t261 () (or @t260 @t259 @t258)) % 0.95/1.16 (define @t262 () (@list false false false)) % 0.95/1.16 (define @t263 () (tptp.surj__ty_2Einteger_2Eint @t221)) % 0.95/1.16 (define @t264 () (tptp.inj__ty_2Einteger_2Eint @t263)) % 0.95/1.16 (define @t265 () (= @t221 @t264)) % 0.95/1.16 (define @t266 () (not @t258)) % 0.95/1.16 (define @t267 () (or @t266 @t265)) % 0.95/1.16 (define @t268 () (@list false false)) % 0.95/1.16 (define @t269 () (@quantifiers_skolemize (forall @t87 (= @t226 @t223)) 0)) % 0.95/1.16 (define @t270 () (tptp.c_2Einteger__word_2Ei2w @t269)) % 0.95/1.16 (define @t271 () (tptp.inj__ty_2Einteger_2Eint @t185)) % 0.95/1.16 (define @t272 () (tptp.ap tptp.c_2Einteger_2ENum @t271)) % 0.95/1.16 (define @t273 () (tptp.ap @t225 @t272)) % 0.95/1.16 (define @t274 () (tptp.ap tptp.c_2Einteger_2Eint__neg @t271)) % 0.95/1.16 (define @t275 () (tptp.ap tptp.c_2Einteger_2ENum @t274)) % 0.95/1.16 (define @t276 () (tptp.ap @t225 @t275)) % 0.95/1.16 (define @t277 () (tptp.c_2Ewords_2Eword__2comp @t84)) % 0.95/1.16 (define @t278 () (tptp.ap @t277 @t276)) % 0.95/1.16 (define @t279 () (tptp.ap tptp.c_2Einteger_2Eint__lt @t271)) % 0.95/1.16 (define @t280 () (tptp.ap @t279 @t221)) % 0.95/1.16 (define @t281 () (tptp.ty_2Efcp_2Ecart tptp.bool @t84)) % 0.95/1.16 (define @t282 () (tptp.c_2Ebool_2ECOND @t281)) % 0.95/1.16 (define @t283 () (tptp.ap @t282 @t280)) % 0.95/1.16 (define @t284 () (tptp.ap @t283 @t278)) % 0.95/1.16 (define @t285 () (tptp.ap @t284 @t273)) % 0.95/1.16 (define @t286 () (_ tptp.ap @t277)) % 0.95/1.16 (define @t287 () (tptp.ap @t222 @t271)) % 0.95/1.16 (define @t288 () (tptp.ap tptp.c_2Einteger_2ENum @t264)) % 0.95/1.16 (define @t289 () (tptp.c_2Ewords_2En2w @t269)) % 0.95/1.16 (define @t290 () (tptp.ap @t289 @t288)) % 0.95/1.16 (define @t291 () (tptp.ap tptp.c_2Einteger_2Eint__neg @t264)) % 0.95/1.16 (define @t292 () (tptp.ap tptp.c_2Einteger_2ENum @t291)) % 0.95/1.16 (define @t293 () (tptp.ap @t289 @t292)) % 0.95/1.16 (define @t294 () (tptp.c_2Ewords_2Eword__2comp @t269)) % 0.95/1.16 (define @t295 () (tptp.ap @t294 @t293)) % 0.95/1.16 (define @t296 () (tptp.ap tptp.c_2Einteger_2Eint__neg @t221)) % 0.95/1.16 (define @t297 () (tptp.surj__ty_2Einteger_2Eint @t296)) % 0.95/1.16 (define @t298 () (tptp.inj__ty_2Einteger_2Eint @t297)) % 0.95/1.16 (define @t299 () (tptp.arr tptp.ty_2Einteger_2Eint tptp.ty_2Einteger_2Eint)) % 0.95/1.16 (define @t300 () (tptp.mem tptp.c_2Einteger_2Eint__neg @t299)) % 0.95/1.16 (define @t301 () (tptp.mem @t296 tptp.ty_2Einteger_2Eint)) % 0.95/1.16 (define @t302 () (not @t300)) % 0.95/1.16 (define @t303 () (or @t302 @t266 @t301)) % 0.95/1.16 (define @t304 () (= @t296 @t298)) % 0.95/1.16 (define @t305 () (not @t301)) % 0.95/1.16 (define @t306 () (or @t305 @t304)) % 0.95/1.16 (define @t307 () (tptp.ap tptp.c_2Einteger_2Eint__lt @t296)) % 0.95/1.16 (define @t308 () (tptp.ap @t307 @t296)) % 0.95/1.16 (define @t309 () (tptp.p @t4)) % 0.95/1.16 (define @t310 () (tptp.inj__o @t309)) % 0.95/1.16 (define @t311 () (tptp.mem @t4 tptp.bool)) % 0.95/1.16 (define @t312 () (not @t9)) % 0.95/1.16 (define @t313 () (or @t312 @t7)) % 0.95/1.16 (define @t314 () (tptp.p @t308)) % 0.95/1.16 (define @t315 () (@purify @t314)) % 0.95/1.16 (define @t316 () (tptp.inj__o @t314)) % 0.95/1.16 (define @t317 () (= @t308 @t316)) % 0.95/1.16 (define @t318 () (tptp.mem @t308 tptp.bool)) % 0.95/1.16 (define @t319 () (not @t318)) % 0.95/1.16 (define @t320 () (or @t319 @t317)) % 0.95/1.16 (define @t321 () (forall @t10 (or (not @t311) (= @t4 @t310)))) % 0.95/1.16 (define @t322 () (= @t308 (tptp.inj__o @t315))) % 0.95/1.16 (define @t323 () (or @t319 @t322)) % 0.95/1.16 (define @t324 () (@list false)) % 0.95/1.16 (define @t325 () (@list @t321)) % 0.95/1.16 (define @t326 () (tptp.ap tptp.c_2Einteger_2Eint__lt @t221)) % 0.95/1.16 (define @t327 () (tptp.arr tptp.ty_2Einteger_2Eint tptp.bool)) % 0.95/1.16 (define @t328 () (tptp.arr tptp.ty_2Einteger_2Eint @t327)) % 0.95/1.16 (define @t329 () (tptp.mem tptp.c_2Einteger_2Eint__lt @t328)) % 0.95/1.16 (define @t330 () (tptp.mem @t326 @t327)) % 0.95/1.16 (define @t331 () (not @t329)) % 0.95/1.16 (define @t332 () (or @t331 @t266 @t330)) % 0.95/1.16 (define @t333 () (tptp.mem (tptp.ap @t326 @t221) tptp.bool)) % 0.95/1.16 (define @t334 () (not @t330)) % 0.95/1.16 (define @t335 () (or @t334 @t266 @t333)) % 0.95/1.16 (define @t336 () (@var "BOUND_VARIABLE_9063" tptp.tp__ty_2Enum_2Enum)) % 0.95/1.16 (define @t337 () (_ tptp.inj__ty_2Enum_2Enum @t336)) % 0.95/1.16 (define @t338 () (_ @t79 @t337)) % 0.95/1.16 (define @t339 () (_ @t59 @t338)) % 0.95/1.16 (define @t340 () (@var "BOUND_VARIABLE_9061" tptp.tp__ty_2Enum_2Enum)) % 0.95/1.16 (define @t341 () (_ tptp.inj__ty_2Enum_2Enum @t340)) % 0.95/1.16 (define @t342 () (_ @t79 @t341)) % 0.95/1.16 (define @t343 () (_ @t164 @t342)) % 0.95/1.16 (define @t344 () (_ (_ tptp.ap @t343) @t339)) % 0.95/1.16 (define @t345 () (tptp.inj__ty_2Enum_2Enum @t336)) % 0.95/1.16 (define @t346 () (tptp.ap tptp.c_2Einteger_2Eint__of__num @t345)) % 0.95/1.16 (define @t347 () (tptp.ap tptp.c_2Einteger_2Eint__neg @t346)) % 0.95/1.16 (define @t348 () (tptp.inj__ty_2Enum_2Enum @t340)) % 0.95/1.16 (define @t349 () (tptp.ap tptp.c_2Einteger_2Eint__of__num @t348)) % 0.95/1.16 (define @t350 () (tptp.ap tptp.c_2Einteger_2Eint__lt @t349)) % 0.95/1.16 (define @t351 () (tptp.ap @t350 @t347)) % 0.95/1.16 (define @t352 () (tptp.p @t351)) % 0.95/1.16 (define @t353 () (_ tptp.p @t344)) % 0.95/1.16 (define @t354 () (not @t353)) % 0.95/1.16 (define @t355 () (forall (@list @t340 @t336) @t354)) % 0.95/1.16 (define @t356 () (@var "BOUND_VARIABLE_9041" tptp.tp__ty_2Enum_2Enum)) % 0.95/1.16 (define @t357 () (tptp.inj__ty_2Enum_2Enum @t356)) % 0.95/1.16 (define @t358 () (tptp.ap tptp.c_2Einteger_2Eint__of__num @t357)) % 0.95/1.16 (define @t359 () (@var "BOUND_VARIABLE_9039" tptp.tp__ty_2Enum_2Enum)) % 0.95/1.16 (define @t360 () (tptp.inj__ty_2Enum_2Enum @t359)) % 0.95/1.16 (define @t361 () (tptp.ap tptp.c_2Einteger_2Eint__of__num @t360)) % 0.95/1.16 (define @t362 () (tptp.ap tptp.c_2Einteger_2Eint__neg @t361)) % 0.95/1.16 (define @t363 () (tptp.ap tptp.c_2Einteger_2Eint__lt @t362)) % 0.95/1.16 (define @t364 () (tptp.ap @t363 @t358)) % 0.95/1.16 (define @t365 () (tptp.p @t364)) % 0.95/1.16 (define @t366 () (or (not (= tptp.fo__c_2Enum_2E0 @t359)) (not (= tptp.fo__c_2Enum_2E0 @t356)))) % 0.95/1.16 (define @t367 () (@list @t359 @t356)) % 0.95/1.16 (define @t368 () (_ tptp.inj__ty_2Enum_2Enum @t356)) % 0.95/1.16 (define @t369 () (_ @t79 @t368)) % 0.95/1.16 (define @t370 () (_ tptp.inj__ty_2Enum_2Enum @t359)) % 0.95/1.16 (define @t371 () (_ @t79 @t370)) % 0.95/1.16 (define @t372 () (_ @t59 @t371)) % 0.95/1.16 (define @t373 () (_ @t164 @t372)) % 0.95/1.16 (define @t374 () (_ (_ tptp.ap @t373) @t369)) % 0.95/1.16 (define @t375 () (_ tptp.p @t374)) % 0.95/1.16 (define @t376 () (= @t375 @t366)) % 0.95/1.16 (define @t377 () (forall @t367 @t376)) % 0.95/1.16 (define @t378 () (@var "BOUND_VARIABLE_9018" tptp.tp__ty_2Enum_2Enum)) % 0.95/1.16 (define @t379 () (_ tptp.inj__ty_2Enum_2Enum @t378)) % 0.95/1.16 (define @t380 () (@var "BOUND_VARIABLE_9020" tptp.tp__ty_2Enum_2Enum)) % 0.95/1.16 (define @t381 () (_ tptp.inj__ty_2Enum_2Enum @t380)) % 0.95/1.16 (define @t382 () (_ @t173 @t381)) % 0.95/1.16 (define @t383 () (_ (_ tptp.ap @t382) @t379)) % 0.95/1.16 (define @t384 () (tptp.inj__ty_2Enum_2Enum @t378)) % 0.95/1.16 (define @t385 () (tptp.inj__ty_2Enum_2Enum @t380)) % 0.95/1.16 (define @t386 () (tptp.ap tptp.c_2Eprim__rec_2E_3C @t385)) % 0.95/1.16 (define @t387 () (tptp.ap @t386 @t384)) % 0.95/1.16 (define @t388 () (tptp.p @t387)) % 0.95/1.16 (define @t389 () (_ tptp.p @t383)) % 0.95/1.16 (define @t390 () (_ @t79 @t381)) % 0.95/1.16 (define @t391 () (_ @t59 @t390)) % 0.95/1.16 (define @t392 () (_ @t79 @t379)) % 0.95/1.16 (define @t393 () (_ @t59 @t392)) % 0.95/1.16 (define @t394 () (_ @t164 @t393)) % 0.95/1.16 (define @t395 () (_ (_ tptp.ap @t394) @t391)) % 0.95/1.16 (define @t396 () (tptp.ap tptp.c_2Einteger_2Eint__of__num @t385)) % 0.95/1.16 (define @t397 () (tptp.ap tptp.c_2Einteger_2Eint__neg @t396)) % 0.95/1.16 (define @t398 () (tptp.ap tptp.c_2Einteger_2Eint__of__num @t384)) % 0.95/1.16 (define @t399 () (tptp.ap tptp.c_2Einteger_2Eint__neg @t398)) % 0.95/1.16 (define @t400 () (tptp.ap tptp.c_2Einteger_2Eint__lt @t399)) % 0.95/1.16 (define @t401 () (tptp.ap @t400 @t397)) % 0.95/1.16 (define @t402 () (tptp.p @t401)) % 0.95/1.16 (define @t403 () (_ tptp.p @t395)) % 0.95/1.16 (define @t404 () (= @t403 @t389)) % 0.95/1.16 (define @t405 () (@list @t378 @t380)) % 0.95/1.16 (define @t406 () (forall @t405 @t404)) % 0.95/1.16 (define @t407 () (@var "BOUND_VARIABLE_9001" tptp.tp__ty_2Enum_2Enum)) % 0.95/1.16 (define @t408 () (_ tptp.inj__ty_2Enum_2Enum @t407)) % 0.95/1.16 (define @t409 () (@var "BOUND_VARIABLE_8999" tptp.tp__ty_2Enum_2Enum)) % 0.95/1.16 (define @t410 () (_ tptp.inj__ty_2Enum_2Enum @t409)) % 0.95/1.16 (define @t411 () (_ @t173 @t410)) % 0.95/1.16 (define @t412 () (_ (_ tptp.ap @t411) @t408)) % 0.95/1.16 (define @t413 () (tptp.inj__ty_2Enum_2Enum @t407)) % 0.95/1.16 (define @t414 () (tptp.inj__ty_2Enum_2Enum @t409)) % 0.95/1.16 (define @t415 () (tptp.ap tptp.c_2Eprim__rec_2E_3C @t414)) % 0.95/1.16 (define @t416 () (tptp.ap @t415 @t413)) % 0.95/1.16 (define @t417 () (tptp.p @t416)) % 0.95/1.16 (define @t418 () (_ tptp.p @t412)) % 0.95/1.16 (define @t419 () (_ @t79 @t408)) % 0.95/1.16 (define @t420 () (_ @t79 @t410)) % 0.95/1.16 (define @t421 () (_ @t164 @t420)) % 0.95/1.16 (define @t422 () (_ (_ tptp.ap @t421) @t419)) % 0.95/1.16 (define @t423 () (tptp.ap tptp.c_2Einteger_2Eint__of__num @t413)) % 0.95/1.16 (define @t424 () (tptp.ap tptp.c_2Einteger_2Eint__of__num @t414)) % 0.95/1.16 (define @t425 () (tptp.ap tptp.c_2Einteger_2Eint__lt @t424)) % 0.95/1.16 (define @t426 () (tptp.ap @t425 @t423)) % 0.95/1.16 (define @t427 () (tptp.p @t426)) % 0.95/1.16 (define @t428 () (_ tptp.p @t422)) % 0.95/1.16 (define @t429 () (= @t428 @t418)) % 0.95/1.16 (define @t430 () (forall (@list @t409 @t407) @t429)) % 0.95/1.16 (define @t431 () (not @t166)) % 0.95/1.16 (define @t432 () (forall @t179 @t431)) % 0.95/1.16 (define @t433 () (@list @t161 @t157)) % 0.95/1.16 (define @t434 () (= @t171 (or (not (= tptp.fo__c_2Enum_2E0 @t161)) (not (= tptp.fo__c_2Enum_2E0 @t157))))) % 0.95/1.16 (define @t435 () (forall @t179 @t434)) % 0.95/1.16 (define @t436 () (forall @t179 @t174)) % 0.95/1.16 (define @t437 () (forall @t179 @t177)) % 0.95/1.16 (define @t438 () (and @t437 @t436 @t435 @t432)) % 0.95/1.16 (define @t439 () (tptp.p (tptp.ap (tptp.ap tptp.c_2Eprim__rec_2E_3C @t220) @t220))) % 0.95/1.16 (define @t440 () (forall @t405 (= @t402 @t388))) % 0.95/1.16 (define @t441 () (= @t314 @t439)) % 0.95/1.16 (define @t442 () (= @t439 @t314)) % 0.95/1.16 (define @t443 () (tptp.inj__ty_2Enum_2Enum @t161)) % 0.95/1.16 (define @t444 () (tptp.ap tptp.c_2Eprim__rec_2E_3C @t443)) % 0.95/1.16 (define @t445 () (tptp.ap @t444 @t220)) % 0.95/1.16 (define @t446 () (tptp.p @t445)) % 0.95/1.16 (define @t447 () (@list tptp.fo__c_2Enum_2E0)) % 0.95/1.16 (define @t448 () (not @t314)) % 0.95/1.16 (define @t449 () (@list true)) % 0.95/1.16 (define @t450 () (tptp.p tptp.c_2Ebool_2EF)) % 0.95/1.16 (define @t451 () (@purify @t450)) % 0.95/1.16 (define @t452 () (tptp.inj__o @t451)) % 0.95/1.16 (define @t453 () (tptp.inj__o @t450)) % 0.95/1.16 (define @t454 () (= tptp.c_2Ebool_2EF @t453)) % 0.95/1.16 (define @t455 () (tptp.mem tptp.c_2Ebool_2EF tptp.bool)) % 0.95/1.16 (define @t456 () (not @t455)) % 0.95/1.16 (define @t457 () (or @t456 @t454)) % 0.95/1.16 (define @t458 () (= tptp.c_2Ebool_2EF @t452)) % 0.95/1.16 (define @t459 () (or @t456 @t458)) % 0.95/1.16 (define @t460 () (tptp.ty_2Efcp_2Ecart tptp.bool @t269)) % 0.95/1.16 (define @t461 () (tptp.c_2Ebool_2ECOND @t460)) % 0.95/1.16 (define @t462 () (tptp.ap @t461 tptp.c_2Ebool_2EF)) % 0.95/1.16 (define @t463 () (tptp.ap @t462 @t295)) % 0.95/1.16 (define @t464 () (tptp.ap @t463 @t290)) % 0.95/1.16 (define @t465 () (tptp.ap tptp.c_2Einteger_2Eint__of__num @t443)) % 0.95/1.16 (define @t466 () (tptp.ap tptp.c_2Einteger_2ENum @t465)) % 0.95/1.16 (define @t467 () (tptp.surj__ty_2Enum_2Enum @t466)) % 0.95/1.16 (define @t468 () (= @t161 @t182)) % 0.95/1.16 (define @t469 () (tptp.ap tptp.c_2Einteger_2ENum @t221)) % 0.95/1.16 (define @t470 () (tptp.inj__ty_2Enum_2Enum (tptp.surj__ty_2Enum_2Enum @t469))) % 0.95/1.16 (define @t471 () (tptp.surj__ty_2Enum_2Enum @t4)) % 0.95/1.16 (define @t472 () (tptp.inj__ty_2Enum_2Enum @t471)) % 0.95/1.16 (define @t473 () (tptp.mem @t4 tptp.ty_2Enum_2Enum)) % 0.95/1.16 (define @t474 () (not @t67)) % 0.95/1.16 (define @t475 () (or @t474 @t66)) % 0.95/1.16 (define @t476 () (tptp.arr tptp.ty_2Einteger_2Eint tptp.ty_2Enum_2Enum)) % 0.95/1.16 (define @t477 () (tptp.mem tptp.c_2Einteger_2ENum @t476)) % 0.95/1.16 (define @t478 () (tptp.mem @t469 tptp.ty_2Enum_2Enum)) % 0.95/1.16 (define @t479 () (not @t477)) % 0.95/1.16 (define @t480 () (or @t479 @t266 @t478)) % 0.95/1.16 (define @t481 () (= @t469 @t470)) % 0.95/1.16 (define @t482 () (not @t478)) % 0.95/1.16 (define @t483 () (or @t482 @t481)) % 0.95/1.16 (define @t484 () (= @t290 @t464)) % 0.95/1.16 (define @t485 () (@var "BOUND_VARIABLE_8939" $$unsorted)) % 0.95/1.16 (define @t486 () (@var "BOUND_VARIABLE_8968" tptp.del)) % 0.95/1.16 (define @t487 () (or (not (tptp.mem @t129 @t486)) (not (tptp.mem @t485 @t486)) (= @t485 (tptp.ap (tptp.ap (tptp.ap (tptp.c_2Ebool_2ECOND @t486) tptp.c_2Ebool_2EF) @t129) @t485)))) % 0.95/1.16 (define @t488 () (@list @t129 @t485)) % 0.95/1.16 (define @t489 () (forall (@list @t486) (forall @t488 @t487))) % 0.95/1.16 (define @t490 () (@var "BOUND_VARIABLE_8899" $$unsorted)) % 0.95/1.16 (define @t491 () (@var "BOUND_VARIABLE_8953" tptp.del)) % 0.95/1.16 (define @t492 () (or (not (tptp.mem @t105 @t491)) (not (tptp.mem @t490 @t491)) (= @t105 (tptp.ap (tptp.ap (tptp.ap (tptp.c_2Ebool_2ECOND @t491) tptp.c_2Ebool_2ET) @t105) @t490)))) % 0.95/1.16 (define @t493 () (@list @t105 @t490)) % 0.95/1.16 (define @t494 () (forall (@list @t491) (forall @t493 @t492))) % 0.95/1.16 (define @t495 () (tptp.c_2Ebool_2ECOND @t84)) % 0.95/1.16 (define @t496 () (tptp.ap @t495 tptp.c_2Ebool_2EF)) % 0.95/1.16 (define @t497 () (tptp.ap @t496 @t129)) % 0.95/1.16 (define @t498 () (= @t485 (tptp.ap @t497 @t485))) % 0.95/1.16 (define @t499 () (not (tptp.mem @t485 @t84))) % 0.95/1.16 (define @t500 () (tptp.mem @t129 @t84)) % 0.95/1.16 (define @t501 () (not @t500)) % 0.95/1.16 (define @t502 () (or @t501 @t499 @t498)) % 0.95/1.16 (define @t503 () (forall @t488 @t502)) % 0.95/1.16 (define @t504 () (forall @t87 @t503)) % 0.95/1.16 (define @t505 () (@list @t84)) % 0.95/1.16 (define @t506 () (tptp.ap @t495 tptp.c_2Ebool_2ET)) % 0.95/1.16 (define @t507 () (tptp.ap @t506 @t105)) % 0.95/1.16 (define @t508 () (= @t105 (tptp.ap @t507 @t490))) % 0.95/1.16 (define @t509 () (not (tptp.mem @t490 @t84))) % 0.95/1.16 (define @t510 () (tptp.mem @t105 @t84)) % 0.95/1.16 (define @t511 () (not @t510)) % 0.95/1.16 (define @t512 () (or @t511 @t509 @t508)) % 0.95/1.16 (define @t513 () (forall @t493 @t512)) % 0.95/1.16 (define @t514 () (forall @t87 @t513)) % 0.95/1.16 (define @t515 () (and @t514 @t504)) % 0.95/1.16 (define @t516 () (or @t499 @t498)) % 0.95/1.16 (define @t517 () (or @t501 @t516)) % 0.95/1.16 (define @t518 () (forall @t488 @t517)) % 0.95/1.16 (define @t519 () (@list @t485)) % 0.95/1.16 (define @t520 () (forall @t519 @t517)) % 0.95/1.16 (define @t521 () (forall @t519 @t516)) % 0.95/1.16 (define @t522 () (or @t501 @t521)) % 0.95/1.16 (define @t523 () (tptp.ap @t497 @t128)) % 0.95/1.16 (define @t524 () (tptp.mem @t128 @t84)) % 0.95/1.16 (define @t525 () (forall @t135 (or (not @t524) (= @t128 @t523)))) % 0.95/1.16 (define @t526 () (not @t137)) % 0.95/1.16 (define @t527 () (or @t526 @t525)) % 0.95/1.16 (define @t528 () (_ tptp.ap @t495)) % 0.95/1.16 (define @t529 () (= @t128 @t132)) % 0.95/1.16 (define @t530 () (not @t133)) % 0.95/1.16 (define @t531 () (or @t530 @t529)) % 0.95/1.16 (define @t532 () (or @t509 @t508)) % 0.95/1.16 (define @t533 () (or @t511 @t532)) % 0.95/1.16 (define @t534 () (forall @t493 @t533)) % 0.95/1.16 (define @t535 () (@list @t490)) % 0.95/1.16 (define @t536 () (forall @t535 @t533)) % 0.95/1.16 (define @t537 () (forall @t535 @t532)) % 0.95/1.16 (define @t538 () (or @t511 @t537)) % 0.95/1.16 (define @t539 () (tptp.ap @t507 @t103)) % 0.95/1.16 (define @t540 () (tptp.mem @t103 @t84)) % 0.95/1.16 (define @t541 () (forall @t109 (or (not @t540) (= @t105 @t539)))) % 0.95/1.16 (define @t542 () (not @t147)) % 0.95/1.16 (define @t543 () (or @t542 @t541)) % 0.95/1.16 (define @t544 () (= @t105 @t143)) % 0.95/1.16 (define @t545 () (not @t144)) % 0.95/1.16 (define @t546 () (or @t545 @t544)) % 0.95/1.16 (define @t547 () (tptp.arr tptp.ty_2Enum_2Enum @t281)) % 0.95/1.16 (define @t548 () (tptp.mem @t225 @t547)) % 0.95/1.16 (define @t549 () (@list @t269)) % 0.95/1.16 (define @t550 () (tptp.mem (tptp.ap @t289 @t220) @t460)) % 0.95/1.16 (define @t551 () (tptp.mem @t289 (tptp.arr tptp.ty_2Enum_2Enum @t460))) % 0.95/1.16 (define @t552 () (not @t551)) % 0.95/1.16 (define @t553 () (or @t552 @t259 @t550)) % 0.95/1.16 (define @t554 () (tptp.ap @t277 @t226)) % 0.95/1.16 (define @t555 () (= @t214 @t215)) % 0.95/1.16 (define @t556 () (tptp.mem @t295 @t460)) % 0.95/1.16 (define @t557 () (tptp.mem @t290 @t460)) % 0.95/1.16 (define @t558 () (not @t557)) % 0.95/1.16 (define @t559 () (not @t556)) % 0.95/1.16 (define @t560 () (or @t559 @t558 @t484)) % 0.95/1.16 (assume @p1 (forall @t3 (= (_ tptp.p @t2) @t1))) % 0.95/1.16 (assume @p2 (forall @t3 (_ (_ tptp.mem @t2) tptp.bool))) % 0.95/1.16 (assume @p3 @t11) % 0.95/1.16 (assume @p4 @t25) % 0.95/1.16 (assume @p5 (forall (@list @t16 @t12 @t26) (=> (forall @t10 (=> @t17 (_ (_ tptp.mem @t28) @t12))) (_ (_ tptp.mem @t27) @t20)))) % 0.95/1.16 (assume @p6 (forall @t24 (=> @t22 (forall (@list @t29) (=> (_ (_ tptp.mem @t29) @t20) (=> (forall @t10 (=> @t17 (= @t14 (_ (_ tptp.ap @t29) @t4)))) (= @t13 @t29))))))) % 0.95/1.16 (assume @p7 (forall (@list @t16 @t26 @t4) (=> @t17 (= (_ (_ tptp.ap @t27) @t4) @t28)))) % 0.95/1.16 (assume @p8 (_ (_ tptp.mem tptp.c_2Emin_2E_3D_3D_3E) @t32)) % 0.95/1.16 (assume @p9 (forall @t41 (=> @t40 (forall @t38 (=> @t37 (= (_ tptp.p (_ (_ tptp.ap (_ (_ tptp.ap tptp.c_2Emin_2E_3D_3D_3E) @t35)) @t33)) (=> @t36 @t34))))))) % 0.95/1.16 (assume @p10 (_ (_ tptp.mem tptp.c_2Ebool_2ET) tptp.bool)) % 0.95/1.16 (assume @p11 (_ tptp.p tptp.c_2Ebool_2ET)) % 0.95/1.16 (assume @p12 @t42) % 0.95/1.16 (assume @p13 @t44) % 0.95/1.16 (assume @p14 (_ (_ tptp.mem tptp.c_2Ebool_2E_5C_2F) @t32)) % 0.95/1.16 (assume @p15 (forall @t41 (=> @t40 (forall @t38 (=> @t37 (= (_ tptp.p (_ (_ tptp.ap (_ (_ tptp.ap tptp.c_2Ebool_2E_5C_2F) @t35)) @t33)) (or @t36 @t34))))))) % 0.95/1.16 (assume @p16 (_ (_ tptp.mem tptp.c_2Ebool_2E_2F_5C) @t32)) % 0.95/1.16 (assume @p17 (forall @t41 (=> @t40 (forall @t38 (=> @t37 (= (_ tptp.p (_ (_ tptp.ap (_ (_ tptp.ap tptp.c_2Ebool_2E_2F_5C) @t35)) @t33)) (and @t36 @t34))))))) % 0.95/1.16 (assume @p18 (forall @t47 (= (_ tptp.surj__ty_2Einteger_2Eint @t46) @t45))) % 0.95/1.16 (assume @p19 (forall @t47 (_ (_ tptp.mem @t46) tptp.ty_2Einteger_2Eint))) % 0.95/1.16 (assume @p20 @t52) % 0.95/1.16 (assume @p21 @t56) % 0.95/1.16 (assume @p22 (forall @t60 (= (_ tptp.inj__ty_2Einteger_2Eint (_ tptp.fo__c_2Einteger_2Eint__neg @t57)) (_ @t59 @t58)))) % 0.95/1.16 (assume @p23 (forall @t63 (= (_ tptp.surj__ty_2Enum_2Enum @t62) @t61))) % 0.95/1.16 (assume @p24 (forall @t63 (_ (_ tptp.mem @t62) tptp.ty_2Enum_2Enum))) % 0.95/1.16 (assume @p25 @t68) % 0.95/1.16 (assume @p26 @t71) % 0.95/1.16 (assume @p27 (forall @t60 (= (_ tptp.inj__ty_2Enum_2Enum (_ tptp.fo__c_2Einteger_2ENum @t57)) (_ @t72 @t58)))) % 0.95/1.16 (assume @p28 @t76) % 0.95/1.16 (assume @p29 (forall (@list @t77) (= (_ tptp.inj__ty_2Einteger_2Eint (_ tptp.fo__c_2Einteger_2Eint__of__num @t77)) (_ @t79 @t78)))) % 0.95/1.16 (assume @p30 @t83) % 0.95/1.16 (assume @p31 (forall @t87 (_ (_ tptp.mem @t86) (_ @t30 (_ @t85 (_ @t85 @t84)))))) % 0.95/1.16 (assume @p32 (forall @t87 (_ (_ tptp.mem @t89) (_ @t53 @t88)))) % 0.95/1.16 (assume @p33 (_ (_ tptp.mem tptp.c_2Eprim__rec_2E_3C) (_ @t73 (_ @t73 tptp.bool)))) % 0.95/1.16 (assume @p34 (_ (_ tptp.mem tptp.c_2Ebool_2E_7E) @t31)) % 0.95/1.16 (assume @p35 (forall @t41 (=> @t40 (= (_ tptp.p (_ (_ tptp.ap tptp.c_2Ebool_2E_7E) @t35)) (not @t36))))) % 0.95/1.16 (assume @p36 (forall @t87 (_ (_ tptp.mem @t91) @t90))) % 0.95/1.16 (assume @p37 (forall @t87 (_ (_ tptp.mem @t92) (_ (_ tptp.arr @t90) tptp.ty_2Enum_2Enum)))) % 0.95/1.16 (assume @p38 (_ (_ tptp.mem tptp.c_2Earithmetic_2EMOD) (_ @t73 (_ @t73 tptp.ty_2Enum_2Enum)))) % 0.95/1.16 (assume @p39 (forall (@list @t77 @t93) (= (_ tptp.inj__ty_2Enum_2Enum (_ (_ tptp.fo__c_2Earithmetic_2EMOD @t77) @t93)) (_ (_ tptp.ap (_ @t94 @t78)) (_ tptp.inj__ty_2Enum_2Enum @t93))))) % 0.95/1.16 (assume @p40 (forall @t87 (_ (_ tptp.mem (_ tptp.c_2Ebool_2E_21 @t84)) (_ (_ tptp.arr @t95) tptp.bool)))) % 0.95/1.16 (assume @p41 (forall (@list @t16 @t35) (=> (_ @t39 (_ @t19 tptp.bool)) (= (_ tptp.p (_ (_ tptp.ap (_ tptp.c_2Ebool_2E_21 @t16)) @t35)) (forall @t10 (=> @t17 (_ tptp.p (_ (_ tptp.ap @t35) @t4)))))))) % 0.95/1.16 (assume @p42 (_ (_ tptp.mem tptp.c_2Enum_2E0) tptp.ty_2Enum_2Enum)) % 0.95/1.16 (assume @p43 (= @t96 tptp.c_2Enum_2E0)) % 0.95/1.16 (assume @p44 @t100) % 0.95/1.16 (assume @p45 (forall @t87 (_ (_ tptp.mem @t101) (_ (_ tptp.arr @t88) @t88)))) % 0.95/1.16 (assume @p46 (forall @t87 (_ (_ tptp.mem (_ tptp.c_2Emin_2E_3D @t84)) (_ @t85 @t95)))) % 0.95/1.16 (assume @p47 (forall (@list @t16 @t4) (=> @t17 (forall (@list @t102) (=> (_ (_ tptp.mem @t102) @t16) (= (_ tptp.p (_ (_ tptp.ap (_ (_ tptp.ap (_ tptp.c_2Emin_2E_3D @t16)) @t4)) @t102)) (= @t4 @t102))))))) % 0.95/1.16 (assume @p48 true) % 0.95/1.16 (assume @p49 (forall @t112 (=> @t111 (forall @t109 (=> @t108 (=> (=> @t106 @t104) (=> (=> @t104 @t106) (= @t106 @t104)))))))) % 0.95/1.16 (assume @p50 (forall (@list @t113) (=> (_ (_ tptp.mem @t113) tptp.bool) (=> false (_ tptp.p @t113))))) % 0.95/1.16 (assume @p51 (forall @t116 (=> @t115 (= (= @t114 @t114) true)))) % 0.95/1.16 (assume @p52 (forall @t116 (=> @t115 (forall (@list @t117) (=> (_ (_ tptp.mem @t117) @t84) (= (= @t114 @t117) (= @t117 @t114))))))) % 0.95/1.16 (assume @p53 (forall @t112 (=> @t111 (forall @t109 (=> @t108 (forall (@list @t118) (=> (_ (_ tptp.mem @t118) tptp.bool) (= (=> @t106 (=> @t104 @t119)) (=> (and @t106 @t104) @t119))))))))) % 0.95/1.16 (assume @p54 (forall (@list @t84 @t126) (=> (_ (_ tptp.mem @t126) tptp.bool) (forall (@list @t122) (=> (_ (_ tptp.mem @t122) tptp.bool) (forall (@list @t125) (=> (_ (_ tptp.mem @t125) @t84) (forall (@list @t121) (=> (_ (_ tptp.mem @t121) @t84) (forall (@list @t124) (=> (_ (_ tptp.mem @t124) @t84) (forall (@list @t120) (=> (_ (_ tptp.mem @t120) @t84) (=> (and (= (_ tptp.p @t126) @t127) (=> @t127 (= @t125 @t121)) (=> (not @t127) (= @t124 @t120))) (= (_ (_ tptp.ap (_ (_ tptp.ap (_ @t123 @t126)) @t125)) @t124) (_ (_ tptp.ap (_ (_ tptp.ap (_ @t123 @t122)) @t121)) @t120)))))))))))))))) % 0.95/1.16 (assume @p55 @t151) % 0.95/1.16 (assume @p56 @t156) % 0.95/1.16 (assume @p57 @t180) % 0.95/1.16 (assume @p58 @t184) % 0.95/1.16 (assume @p59 @t204) % 0.95/1.16 (assume @p60 @t208) % 0.95/1.16 (assume @p61 (forall (@list @t84 @t212 @t210) (= (= (_ @t188 @t213) (_ @t188 @t211)) (= (_ tptp.surj__ty_2Enum_2Enum (_ (_ tptp.ap (_ @t94 @t213)) @t209)) (_ tptp.surj__ty_2Enum_2Enum (_ (_ tptp.ap (_ @t94 @t211)) @t209)))))) % 0.95/1.16 (assume @p62 @t216) % 0.95/1.16 (assume @p63 @t219) % 0.95/1.16 (step @p64 :rule refl :args ((tptp.ap @t89 @t152))) % 0.95/1.16 (step @p65 :rule refl :args ((tptp.ap tptp.c_2Einteger_2Eint__of__num @t96))) % 0.95/1.16 (step @p66 :rule refl :args (@t220)) % 0.95/1.16 (step @p67 :rule refl :args (tptp.c_2Einteger_2Eint__of__num)) % 0.95/1.16 (step @p68 :rule cong :premises (@p67 @p66) :args (@t221)) % 0.95/1.16 (step @p69 :rule trans :premises (@p68 @p65)) % 0.95/1.16 (step @p70 :rule refl :args (@t222)) % 0.95/1.16 (step @p71 :rule cong :premises (@p70 @p69) :args (@t223)) % 0.95/1.16 (step @p72 :rule trans :premises (@p71 @p64)) % 0.95/1.16 (step @p73 :rule refl :args (tptp.ap)) % 0.95/1.16 (step @p74 :rule ho_cong :premises (@p73 @p70)) % 0.95/1.16 (step @p75 :rule ho_cong :premises (@p74 @p69)) % 0.95/1.16 (step @p76 :rule cong :premises (@p75 @p72) :args ((= (_ @t224 @t221) @t223))) % 0.95/1.16 (step @p77 :rule symm :premises (@p76)) % 0.95/1.16 (step @p78 :rule refl :args (@t217)) % 0.95/1.16 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.95/1.16 (step @p80 :rule refl :args (@t79)) % 0.95/1.16 (step @p81 :rule ho_cong :premises (@p80 @p66)) % 0.95/1.16 (step @p82 :rule cong :premises (@p81 @p69) :args ((= (_ @t79 @t220) @t221))) % 0.95/1.16 (step @p83 :rule symm :premises (@p82)) % 0.95/1.16 (step @p84 :rule refl :args (@t152)) % 0.95/1.16 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.95/1.16 (step @p86 :rule refl :args (@t96)) % 0.95/1.16 (step @p87 :rule cong :premises (@p86 @p66) :args ((= @t96 @t220))) % 0.95/1.16 (step @p88 :rule symm :premises (@p87)) % 0.95/1.16 (step @p89 :rule eq_resolve :premises (@p86 @p88)) % 0.95/1.16 (step @p90 :rule ho_cong :premises (@p80 @p89)) % 0.95/1.16 (step @p91 :rule trans :premises (@p90 @p85)) % 0.95/1.16 (step @p92 :rule refl :args (@t89)) % 0.95/1.16 (step @p93 :rule cong :premises (@p92 @p70) :args ((= @t89 @t222))) % 0.95/1.16 (step @p94 :rule symm :premises (@p93)) % 0.95/1.16 (step @p95 :rule eq_resolve :premises (@p92 @p94)) % 0.95/1.16 (step @p96 :rule ho_cong :premises (@p73 @p95)) % 0.95/1.16 (step @p97 :rule ho_cong :premises (@p96 @p91)) % 0.95/1.16 (step @p98 :rule trans :premises (@p97 @p79)) % 0.95/1.16 (step @p99 :rule refl :args ((tptp.ap @t98 @t96))) % 0.95/1.16 (step @p100 :rule refl :args (@t225)) % 0.95/1.16 (step @p101 :rule cong :premises (@p100 @p66) :args (@t226)) % 0.95/1.16 (step @p102 :rule trans :premises (@p101 @p99)) % 0.95/1.16 (step @p103 :rule ho_cong :premises (@p73 @p100)) % 0.95/1.16 (step @p104 :rule ho_cong :premises (@p103 @p66)) % 0.95/1.16 (step @p105 :rule cong :premises (@p104 @p102) :args ((= (_ @t227 @t220) @t226))) % 0.95/1.16 (step @p106 :rule symm :premises (@p105)) % 0.95/1.16 (step @p107 :rule refl :args (@t214)) % 0.95/1.16 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 0.95/1.16 (step @p109 :rule refl :args (@t98)) % 0.95/1.16 (step @p110 :rule cong :premises (@p109 @p100) :args ((= @t98 @t225))) % 0.95/1.16 (step @p111 :rule symm :premises (@p110)) % 0.95/1.16 (step @p112 :rule eq_resolve :premises (@p109 @p111)) % 0.95/1.16 (step @p113 :rule ho_cong :premises (@p73 @p112)) % 0.95/1.16 (step @p114 :rule ho_cong :premises (@p113 @p89)) % 0.95/1.16 (step @p115 :rule trans :premises (@p114 @p108)) % 0.95/1.16 (step @p116 :rule cong :premises (@p115 @p98) :args (@t228)) % 0.95/1.16 (step @p117 :rule cong :premises (@p116) :args ((forall @t87 @t228))) % 0.95/1.16 (step @p118 :rule eq-symm :args (@t217 @t214)) % 0.95/1.16 (step @p119 :rule cong :premises (@p118) :args (@t218)) % 0.95/1.16 (step @p120 :rule trans :premises (@p119 @p117)) % 0.95/1.16 (step @p121 :rule cong :premises (@p120) :args (@t219)) % 0.95/1.16 (step @p122 :rule eq_resolve :premises (@p63 @p121)) % 0.95/1.16 (step @p123 :rule skolemize :premises (@p122)) % 0.95/1.16 (step @p124 :rule false_intro :premises (@p123)) % 0.95/1.16 (step @p125 :rule refl :args ((tptp.inj__ty_2Einteger_2Eint @t48))) % 0.95/1.16 (step @p126 :rule refl :args (@t229)) % 0.95/1.16 (step @p127 :rule cong :premises (@p126) :args (@t230)) % 0.95/1.16 (step @p128 :rule trans :premises (@p127 @p125)) % 0.95/1.16 (step @p129 :rule refl :args (tptp.inj__ty_2Einteger_2Eint)) % 0.95/1.16 (step @p130 :rule ho_cong :premises (@p129 @p126)) % 0.95/1.16 (step @p131 :rule cong :premises (@p130 @p128) :args ((= (_ tptp.inj__ty_2Einteger_2Eint @t229) @t230))) % 0.95/1.16 (step @p132 :rule symm :premises (@p131)) % 0.95/1.16 (step @p133 :rule refl :args (@t49)) % 0.95/1.16 (step @p134 :rule eq_resolve :premises (@p133 @p132)) % 0.95/1.16 (step @p135 :rule refl :args (@t48)) % 0.95/1.16 (step @p136 :rule cong :premises (@p135 @p126) :args ((= @t48 @t229))) % 0.95/1.16 (step @p137 :rule symm :premises (@p136)) % 0.95/1.16 (step @p138 :rule eq_resolve :premises (@p135 @p137)) % 0.95/1.16 (step @p139 :rule ho_cong :premises (@p129 @p138)) % 0.95/1.16 (step @p140 :rule trans :premises (@p139 @p134)) % 0.95/1.16 (step @p141 :rule refl :args (@t4)) % 0.95/1.16 (step @p142 :rule cong :premises (@p141 @p140) :args (@t50)) % 0.95/1.16 (step @p143 :rule refl :args (@t231)) % 0.95/1.16 (step @p144 :rule refl :args (@t51)) % 0.95/1.16 (step @p145 :rule cong :premises (@p144 @p143) :args ((= @t51 @t231))) % 0.95/1.16 (step @p146 :rule symm :premises (@p145)) % 0.95/1.16 (step @p147 :rule eq_resolve :premises (@p144 @p146)) % 0.95/1.16 (step @p148 :rule cong :premises (@p147) :args (@t232)) % 0.95/1.16 (step @p149 :rule nary_cong :premises (@p148 @p142) :args (@t233)) % 0.95/1.16 (step @p150 :rule cong :premises (@p149) :args ((forall @t10 @t233))) % 0.95/1.16 (step @p151 :rule bool-impl-elim :args (@t51 @t50)) % 0.95/1.16 (step @p152 :rule cong :premises (@p151) :args (@t52)) % 0.95/1.16 (step @p153 :rule trans :premises (@p152 @p150)) % 0.95/1.16 (step @p154 :rule eq_resolve :premises (@p20 @p153)) % 0.95/1.16 (step @p155 :rule instantiate :premises (@p154) :args ((@list @t221))) % 0.95/1.16 (step @p156 :rule aci_norm :args ((= @t241 (or @t239 @t236 @t235)))) % 0.95/1.16 (step @p157 :rule cong :premises (@p156) :args (@t242)) % 0.95/1.16 (step @p158 :rule quant-merge-prenex :args ((= (forall @t24 @t244) @t242))) % 0.95/1.16 (step @p159 :rule alpha_equiv :args (@t245 (@list @t234) (@list @t4))) % 0.95/1.16 (step @p160 :rule refl :args (@t239)) % 0.95/1.16 (step @p161 :rule nary_cong :premises (@p160 @p159) :args (@t246)) % 0.95/1.16 (step @p162 :rule quant-miniscope-or :args ((= @t244 @t246))) % 0.95/1.16 (step @p163 :rule trans :premises (@p162 @p161)) % 0.95/1.16 (step @p164 :rule symm :premises (@p163)) % 0.95/1.16 (step @p165 :rule cong :premises (@p164) :args ((forall @t24 (or @t239 @t250)))) % 0.95/1.16 (step @p166 :rule trans :premises (@p165 @p158)) % 0.95/1.16 (step @p167 :rule trans :premises (@p166 @p157)) % 0.95/1.16 (step @p168 :rule refl :args (@t250)) % 0.95/1.16 (step @p169 :rule refl :args ((tptp.mem @t13 @t20))) % 0.95/1.16 (step @p170 :rule refl :args (@t237)) % 0.95/1.16 (step @p171 :rule refl :args (@t13)) % 0.95/1.16 (step @p172 :rule cong :premises (@p171 @p170) :args (@t238)) % 0.95/1.16 (step @p173 :rule trans :premises (@p172 @p169)) % 0.95/1.16 (step @p174 :rule refl :args (@t21)) % 0.95/1.16 (step @p175 :rule ho_cong :premises (@p174 @p170)) % 0.95/1.16 (step @p176 :rule cong :premises (@p175 @p173) :args ((= (_ @t21 @t237) @t238))) % 0.95/1.16 (step @p177 :rule symm :premises (@p176)) % 0.95/1.16 (step @p178 :rule refl :args (@t22)) % 0.95/1.16 (step @p179 :rule eq_resolve :premises (@p178 @p177)) % 0.95/1.16 (step @p180 :rule refl :args (@t20)) % 0.95/1.16 (step @p181 :rule cong :premises (@p180 @p170) :args ((= @t20 @t237))) % 0.95/1.16 (step @p182 :rule symm :premises (@p181)) % 0.95/1.16 (step @p183 :rule eq_resolve :premises (@p180 @p182)) % 0.95/1.16 (step @p184 :rule ho_cong :premises (@p174 @p183)) % 0.95/1.16 (step @p185 :rule trans :premises (@p184 @p179)) % 0.95/1.16 (step @p186 :rule cong :premises (@p185) :args (@t251)) % 0.95/1.16 (step @p187 :rule nary_cong :premises (@p186 @p168) :args (@t252)) % 0.95/1.16 (step @p188 :rule cong :premises (@p187) :args ((forall @t24 @t252))) % 0.95/1.16 (step @p189 :rule trans :premises (@p188 @p167)) % 0.95/1.16 (step @p190 :rule bool-impl-elim :args (@t22 @t250)) % 0.95/1.16 (step @p191 :rule cong :premises (@p190) :args ((forall @t24 (=> @t22 @t250)))) % 0.95/1.16 (step @p192 :rule trans :premises (@p191 @p189)) % 0.95/1.16 (step @p193 :rule refl :args ((tptp.mem @t14 @t12))) % 0.95/1.16 (step @p194 :rule refl :args (@t12)) % 0.95/1.16 (step @p195 :rule refl :args (@t247)) % 0.95/1.16 (step @p196 :rule cong :premises (@p195 @p194) :args (@t248)) % 0.95/1.16 (step @p197 :rule trans :premises (@p196 @p193)) % 0.95/1.16 (step @p198 :rule refl :args (tptp.mem)) % 0.95/1.16 (step @p199 :rule ho_cong :premises (@p198 @p195)) % 0.95/1.16 (step @p200 :rule ho_cong :premises (@p199 @p194)) % 0.95/1.16 (step @p201 :rule cong :premises (@p200 @p197) :args ((= (_ (_ tptp.mem @t247) @t12) @t248))) % 0.95/1.16 (step @p202 :rule symm :premises (@p201)) % 0.95/1.16 (step @p203 :rule refl :args (@t15)) % 0.95/1.16 (step @p204 :rule eq_resolve :premises (@p203 @p202)) % 0.95/1.16 (step @p205 :rule refl :args (@t14)) % 0.95/1.16 (step @p206 :rule cong :premises (@p205 @p195) :args ((= @t14 @t247))) % 0.95/1.16 (step @p207 :rule symm :premises (@p206)) % 0.95/1.16 (step @p208 :rule eq_resolve :premises (@p205 @p207)) % 0.95/1.16 (step @p209 :rule ho_cong :premises (@p198 @p208)) % 0.95/1.16 (step @p210 :rule ho_cong :premises (@p209 @p194)) % 0.95/1.16 (step @p211 :rule trans :premises (@p210 @p204)) % 0.95/1.16 (step @p212 :rule refl :args (@t249)) % 0.95/1.16 (step @p213 :rule refl :args (@t17)) % 0.95/1.16 (step @p214 :rule cong :premises (@p213 @p212) :args ((= @t17 @t249))) % 0.95/1.16 (step @p215 :rule symm :premises (@p214)) % 0.95/1.16 (step @p216 :rule eq_resolve :premises (@p213 @p215)) % 0.95/1.16 (step @p217 :rule cong :premises (@p216) :args (@t253)) % 0.95/1.16 (step @p218 :rule nary_cong :premises (@p217 @p211) :args (@t254)) % 0.95/1.16 (step @p219 :rule cong :premises (@p218) :args ((forall @t10 @t254))) % 0.95/1.16 (step @p220 :rule bool-impl-elim :args (@t17 @t15)) % 0.95/1.16 (step @p221 :rule cong :premises (@p220) :args (@t18)) % 0.95/1.16 (step @p222 :rule trans :premises (@p221 @p219)) % 0.95/1.16 (step @p223 :rule refl :args (@t22)) % 0.95/1.16 (step @p224 :rule cong :premises (@p223 @p222) :args (@t23)) % 0.95/1.16 (step @p225 :rule cong :premises (@p224) :args (@t25)) % 0.95/1.16 (step @p226 :rule trans :premises (@p225 @p192)) % 0.95/1.16 (step @p227 :rule eq_resolve :premises (@p4 @p226)) % 0.95/1.16 (step @p228 :rule instantiate :premises (@p227) :args ((@list tptp.ty_2Enum_2Enum tptp.ty_2Einteger_2Eint tptp.c_2Einteger_2Eint__of__num @t220))) % 0.95/1.16 (step @p229 :rule refl :args ((tptp.mem @t96 tptp.ty_2Enum_2Enum))) % 0.95/1.16 (step @p230 :rule refl :args (tptp.ty_2Enum_2Enum)) % 0.95/1.16 (step @p231 :rule cong :premises (@p66 @p230) :args (@t255)) % 0.95/1.16 (step @p232 :rule trans :premises (@p231 @p229)) % 0.95/1.16 (step @p233 :rule ho_cong :premises (@p198 @p66)) % 0.95/1.16 (step @p234 :rule ho_cong :premises (@p233 @p230)) % 0.95/1.16 (step @p235 :rule cong :premises (@p234 @p232) :args ((= (_ (_ tptp.mem @t220) tptp.ty_2Enum_2Enum) @t255))) % 0.95/1.16 (step @p236 :rule symm :premises (@p235)) % 0.95/1.16 (step @p237 :rule refl :args ((_ (_ tptp.mem @t96) tptp.ty_2Enum_2Enum))) % 0.95/1.16 (step @p238 :rule eq_resolve :premises (@p237 @p236)) % 0.95/1.16 (step @p239 :rule refl :args (tptp.ty_2Enum_2Enum)) % 0.95/1.16 (step @p240 :rule eq_resolve :premises (@p86 @p88)) % 0.95/1.16 (step @p241 :rule refl :args (tptp.mem)) % 0.95/1.16 (step @p242 :rule ho_cong :premises (@p241 @p240)) % 0.95/1.16 (step @p243 :rule ho_cong :premises (@p242 @p239)) % 0.95/1.16 (step @p244 :rule trans :premises (@p243 @p238)) % 0.95/1.16 (step @p245 :rule symm :premises (@p43)) % 0.95/1.16 (step @p246 :rule ho_cong :premises (@p241 @p245)) % 0.95/1.16 (step @p247 :rule ho_cong :premises (@p246 @p239)) % 0.95/1.16 (step @p248 :rule trans :premises (@p247 @p244)) % 0.95/1.16 (step @p249 :rule eq_resolve :premises (@p42 @p248)) % 0.95/1.16 (step @p250 :rule refl :args ((tptp.mem tptp.c_2Einteger_2Eint__of__num @t74))) % 0.95/1.16 (step @p251 :rule refl :args (@t256)) % 0.95/1.16 (step @p252 :rule cong :premises (@p67 @p251) :args (@t257)) % 0.95/1.16 (step @p253 :rule trans :premises (@p252 @p250)) % 0.95/1.16 (step @p254 :rule refl :args (@t75)) % 0.95/1.16 (step @p255 :rule ho_cong :premises (@p254 @p251)) % 0.95/1.16 (step @p256 :rule cong :premises (@p255 @p253) :args ((= (_ @t75 @t256) @t257))) % 0.95/1.16 (step @p257 :rule symm :premises (@p256)) % 0.95/1.16 (step @p258 :rule refl :args (@t76)) % 0.95/1.16 (step @p259 :rule eq_resolve :premises (@p258 @p257)) % 0.95/1.16 (step @p260 :rule refl :args (@t74)) % 0.95/1.16 (step @p261 :rule cong :premises (@p260 @p251) :args ((= @t74 @t256))) % 0.95/1.16 (step @p262 :rule symm :premises (@p261)) % 0.95/1.16 (step @p263 :rule eq_resolve :premises (@p260 @p262)) % 0.95/1.16 (step @p264 :rule refl :args (@t75)) % 0.95/1.16 (step @p265 :rule ho_cong :premises (@p264 @p263)) % 0.95/1.16 (step @p266 :rule trans :premises (@p265 @p259)) % 0.95/1.16 (step @p267 :rule eq_resolve :premises (@p28 @p266)) % 0.95/1.16 (step @p268 :rule cnf_or_pos :args (@t261)) % 0.95/1.16 (step @p269 :rule reordering :premises (@p268) :args ((or @t260 @t259 @t258 (not @t261)))) % 0.95/1.16 (step @p270 :rule chain_m_resolution :premises (@p269 @p267 @p249 @p228) :args (@t258 @t262 (@list @t257 @t255 @t261))) % 0.95/1.16 (step @p271 :rule cnf_or_pos :args (@t267)) % 0.95/1.16 (step @p272 :rule reordering :premises (@p271) :args ((or @t266 @t265 (not @t267)))) % 0.95/1.16 (step @p273 :rule chain_m_resolution :premises (@p272 @p270 @p155) :args (@t265 @t268 (@list @t258 @t267))) % 0.95/1.16 (step @p274 :rule symm :premises (@p273)) % 0.95/1.16 (step @p275 :rule refl :args (@t270)) % 0.95/1.16 (step @p276 :rule cong :premises (@p275 @p274) 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0.95/1.17 (step @p1437 :rule refl :args ((tptp.ap @t101 @t214))) % 0.95/1.17 (step @p1438 :rule cong :premises (@p298 @p102) :args (@t554)) % 0.95/1.17 (step @p1439 :rule trans :premises (@p1438 @p1437)) % 0.95/1.17 (step @p1440 :rule ho_cong :premises (@p350 @p102)) % 0.95/1.17 (step @p1441 :rule cong :premises (@p1440 @p1439) :args ((= (_ @t286 @t226) @t554))) % 0.95/1.17 (step @p1442 :rule symm :premises (@p1441)) % 0.95/1.17 (step @p1443 :rule refl :args (@t215)) % 0.95/1.17 (step @p1444 :rule eq_resolve :premises (@p1443 @p1442)) % 0.95/1.17 (step @p1445 :rule ho_cong :premises (@p382 @p115)) % 0.95/1.17 (step @p1446 :rule trans :premises (@p1445 @p1444)) % 0.95/1.17 (step @p1447 :rule cong :premises (@p115 @p1446) :args (@t555)) % 0.95/1.17 (step @p1448 :rule cong :premises (@p1447) :args ((forall @t87 @t555))) % 0.95/1.17 (step @p1449 :rule eq-symm :args (@t215 @t214)) % 0.95/1.17 (step @p1450 :rule cong :premises (@p1449) :args (@t216)) % 0.95/1.17 (step @p1451 :rule trans :premises (@p1450 @p1448)) % 0.95/1.17 (step @p1452 :rule eq_resolve :premises (@p62 @p1451)) % 0.95/1.17 (step @p1453 :rule instantiate :premises (@p1452) :args (@t549)) % 0.95/1.17 (step @p1454 :rule symm :premises (@p1453)) % 0.95/1.17 (step @p1455 :rule refl :args (tptp.c_2Einteger_2Eint__neg)) % 0.95/1.17 (step @p1456 :rule cong :premises (@p1455 @p274) :args (@t291)) % 0.95/1.17 (step @p1457 :rule trans :premises (@p1456 @p513 @p487)) % 0.95/1.17 (step @p1458 :rule cong :premises (@p1209 @p1457) :args (@t292)) % 0.95/1.17 (step @p1459 :rule cong :premises (@p1212 @p1458) :args (@t293)) % 0.95/1.17 (step @p1460 :rule trans :premises (@p1459 @p1213)) % 0.95/1.17 (step @p1461 :rule refl :args (@t294)) % 0.95/1.17 (step @p1462 :rule cong :premises (@p1461 @p1460) :args (@t295)) % 0.95/1.17 (step @p1463 :rule trans :premises (@p1462 @p1454)) % 0.95/1.17 (step @p1464 :rule cong :premises (@p1463 @p1436) :args (@t556)) % 0.95/1.17 (step @p1465 :rule trans :premises (@p1464 @p1435)) % 0.95/1.17 (step @p1466 :rule true_elim :premises (@p1465)) % 0.95/1.17 (step @p1467 :rule cong :premises (@p1213 @p1436) :args (@t557)) % 0.95/1.17 (step @p1468 :rule trans :premises (@p1467 @p1435)) % 0.95/1.17 (step @p1469 :rule true_elim :premises (@p1468)) % 0.95/1.17 (step @p1470 :rule cnf_or_pos :args (@t560)) % 0.95/1.17 (step @p1471 :rule reordering :premises (@p1470) :args ((or @t559 @t558 @t484 (not @t560)))) % 0.95/1.17 (step @p1472 false :rule chain_m_resolution :premises (@p1471 @p1469 @p1466 @p1404 @p1216) :args (false (@list false false false true) (@list @t557 @t556 @t560 @t484))) % 0.95/1.17 ) % 0.95/1.17 % SZS output end Proof % 0.95/1.17 % cvc5 exiting %------------------------------------------------------------------------------