%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP013^2 : 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 : n027.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 08:24:35 AM UTC 2026 % Result : Theorem 1.86s 2.09s % Output : Proof 1.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP013^2 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n027.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 03:50:06 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TH0 % 1.86/2.09 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.86/2.09 % SZS status Theorem % 1.86/2.09 % SZS output start Proof % 1.86/2.09 ( % 1.86/2.09 (declare-sort tptp.tp__ty_2Enum_2Enum 0) % 1.86/2.09 (declare-sort $$unsorted 0) % 1.86/2.09 (declare-sort tptp.del 0) % 1.86/2.09 (declare-const tptp.c_2Ebool_2E_21 (-> tptp.del $$unsorted)) % 1.86/2.09 (declare-const tptp.c_2Ewords_2Eword__add (-> tptp.del $$unsorted)) % 1.86/2.09 (declare-const tptp.c_2Ewords_2En2w (-> tptp.del $$unsorted)) % 1.86/2.09 (declare-const tptp.c_2Ebool_2ECOND (-> tptp.del $$unsorted)) % 1.86/2.09 (declare-const tptp.fo__c_2Earithmetic_2E_2D (-> tptp.tp__ty_2Enum_2Enum tptp.tp__ty_2Enum_2Enum tptp.tp__ty_2Enum_2Enum)) % 1.86/2.09 (declare-const tptp.c_2Earithmetic_2E_2D $$unsorted) % 1.86/2.09 (declare-const tptp.c_2Emin_2E_3D (-> tptp.del $$unsorted)) % 1.86/2.09 (declare-const tptp.c_2Earithmetic_2E_2B $$unsorted) % 1.86/2.09 (declare-const tptp.ty_2Enum_2Enum tptp.del) % 1.86/2.09 (declare-const tptp.fo__c_2Earithmetic_2E_2B (-> tptp.tp__ty_2Enum_2Enum tptp.tp__ty_2Enum_2Enum tptp.tp__ty_2Enum_2Enum)) % 1.86/2.09 (declare-const tptp.inj__ty_2Enum_2Enum (-> tptp.tp__ty_2Enum_2Enum $$unsorted)) % 1.86/2.09 (declare-const tptp.c_2Ewords_2Eword__2comp (-> tptp.del $$unsorted)) % 1.86/2.09 (declare-const tptp.inj__o (-> Bool $$unsorted)) % 1.86/2.09 (declare-const tptp.c_2Ebool_2EF $$unsorted) % 1.86/2.09 (declare-const tptp.c_2Ebool_2E_2F_5C $$unsorted) % 1.86/2.09 (declare-const tptp.p (-> $$unsorted Bool)) % 1.86/2.09 (declare-const tptp.c_2Ewords_2Eword__sub (-> tptp.del $$unsorted)) % 1.86/2.09 (declare-const tptp.surj__ty_2Enum_2Enum (-> $$unsorted tptp.tp__ty_2Enum_2Enum)) % 1.86/2.09 (declare-const tptp.bool tptp.del) % 1.86/2.09 (declare-const tptp.mem (-> $$unsorted tptp.del Bool)) % 1.86/2.09 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted)) % 1.86/2.09 (declare-const tptp.arr (-> tptp.del tptp.del tptp.del)) % 1.86/2.09 (declare-const tptp.c_2Ebool_2E_7E $$unsorted) % 1.86/2.09 (declare-const tptp.c_2Earithmetic_2E_3C_3D $$unsorted) % 1.86/2.09 (declare-const tptp.c_2Emin_2E_3D_3D_3E $$unsorted) % 1.86/2.09 (declare-const tptp.lam (-> tptp.del (-> $$unsorted $$unsorted) $$unsorted)) % 1.86/2.09 (declare-const tptp.ty_2Efcp_2Ecart (-> tptp.del tptp.del tptp.del)) % 1.86/2.09 (declare-const tptp.c_2Ebool_2ET $$unsorted) % 1.86/2.09 (define @t1 () (@var "X" Bool)) % 1.86/2.09 (define @t2 () (_ tptp.inj__o @t1)) % 1.86/2.09 (define @t3 () (@list @t1)) % 1.86/2.09 (define @t4 () (@var "X" $$unsorted)) % 1.86/2.09 (define @t5 () (_ tptp.p @t4)) % 1.86/2.09 (define @t6 () (_ tptp.inj__o @t5)) % 1.86/2.09 (define @t7 () (= @t4 @t6)) % 1.86/2.09 (define @t8 () (_ tptp.mem @t4)) % 1.86/2.09 (define @t9 () (_ @t8 tptp.bool)) % 1.86/2.09 (define @t10 () (@list @t4)) % 1.86/2.09 (define @t11 () (forall @t10 (=> @t9 @t7))) % 1.86/2.09 (define @t12 () (@var "B" tptp.del)) % 1.86/2.09 (define @t13 () (@var "F" $$unsorted)) % 1.86/2.09 (define @t14 () (_ (_ tptp.ap @t13) @t4)) % 1.86/2.09 (define @t15 () (_ (_ tptp.mem @t14) @t12)) % 1.86/2.09 (define @t16 () (@var "A" tptp.del)) % 1.86/2.09 (define @t17 () (_ @t8 @t16)) % 1.86/2.09 (define @t18 () (forall @t10 (=> @t17 @t15))) % 1.86/2.09 (define @t19 () (_ tptp.arr @t16)) % 1.86/2.09 (define @t20 () (_ @t19 @t12)) % 1.86/2.09 (define @t21 () (_ tptp.mem @t13)) % 1.86/2.09 (define @t22 () (_ @t21 @t20)) % 1.86/2.09 (define @t23 () (=> @t22 @t18)) % 1.86/2.09 (define @t24 () (@list @t16 @t12 @t13)) % 1.86/2.09 (define @t25 () (forall @t24 @t23)) % 1.86/2.09 (define @t26 () (@var "F" (-> $$unsorted $$unsorted))) % 1.86/2.09 (define @t27 () (_ (_ tptp.lam @t16) @t26)) % 1.86/2.09 (define @t28 () (_ @t26 @t4)) % 1.86/2.09 (define @t29 () (@var "G" $$unsorted)) % 1.86/2.09 (define @t30 () (_ tptp.arr tptp.bool)) % 1.86/2.09 (define @t31 () (_ @t30 tptp.bool)) % 1.86/2.09 (define @t32 () (@var "Q" $$unsorted)) % 1.86/2.09 (define @t33 () (_ tptp.p @t32)) % 1.86/2.09 (define @t34 () (_ tptp.mem @t32)) % 1.86/2.09 (define @t35 () (_ @t34 tptp.bool)) % 1.86/2.09 (define @t36 () (@list @t32)) % 1.86/2.09 (define @t37 () (_ @t30 @t31)) % 1.86/2.09 (define @t38 () (@var "R" $$unsorted)) % 1.86/2.09 (define @t39 () (_ tptp.p @t38)) % 1.86/2.09 (define @t40 () (_ (_ tptp.mem @t38) tptp.bool)) % 1.86/2.09 (define @t41 () (@list @t38)) % 1.86/2.09 (define @t42 () (_ (_ tptp.mem tptp.c_2Ebool_2ET) tptp.bool)) % 1.86/2.09 (define @t43 () (_ tptp.p tptp.c_2Ebool_2ET)) % 1.86/2.09 (define @t44 () (@var "A_27a" tptp.del)) % 1.86/2.09 (define @t45 () (_ tptp.ty_2Efcp_2Ecart tptp.bool)) % 1.86/2.09 (define @t46 () (_ @t45 @t44)) % 1.86/2.09 (define @t47 () (_ tptp.arr @t46)) % 1.86/2.09 (define @t48 () (_ @t47 @t46)) % 1.86/2.09 (define @t49 () (_ @t47 @t48)) % 1.86/2.09 (define @t50 () (_ tptp.c_2Ewords_2Eword__sub @t44)) % 1.86/2.09 (define @t51 () (@list @t44)) % 1.86/2.09 (define @t52 () (@var "X" tptp.tp__ty_2Enum_2Enum)) % 1.86/2.09 (define @t53 () (_ tptp.inj__ty_2Enum_2Enum @t52)) % 1.86/2.09 (define @t54 () (@list @t52)) % 1.86/2.09 (define @t55 () (_ (_ tptp.mem @t53) tptp.ty_2Enum_2Enum)) % 1.86/2.09 (define @t56 () (forall @t54 @t55)) % 1.86/2.09 (define @t57 () (_ tptp.arr tptp.ty_2Enum_2Enum)) % 1.86/2.09 (define @t58 () (_ @t57 (_ @t57 tptp.ty_2Enum_2Enum))) % 1.86/2.09 (define @t59 () (@var "X1" tptp.tp__ty_2Enum_2Enum)) % 1.86/2.09 (define @t60 () (_ tptp.inj__ty_2Enum_2Enum @t59)) % 1.86/2.09 (define @t61 () (@var "X0" tptp.tp__ty_2Enum_2Enum)) % 1.86/2.09 (define @t62 () (_ tptp.inj__ty_2Enum_2Enum @t61)) % 1.86/2.09 (define @t63 () (_ tptp.ap tptp.c_2Earithmetic_2E_2D)) % 1.86/2.09 (define @t64 () (_ @t63 @t62)) % 1.86/2.09 (define @t65 () (_ (_ tptp.ap @t64) @t60)) % 1.86/2.09 (define @t66 () (_ (_ tptp.fo__c_2Earithmetic_2E_2D @t61) @t59)) % 1.86/2.09 (define @t67 () (_ tptp.inj__ty_2Enum_2Enum @t66)) % 1.86/2.09 (define @t68 () (= @t67 @t65)) % 1.86/2.09 (define @t69 () (@list @t61 @t59)) % 1.86/2.09 (define @t70 () (forall @t69 @t68)) % 1.86/2.09 (define @t71 () (_ @t57 tptp.bool)) % 1.86/2.09 (define @t72 () (_ @t57 @t71)) % 1.86/2.09 (define @t73 () (_ tptp.mem tptp.c_2Earithmetic_2E_3C_3D)) % 1.86/2.09 (define @t74 () (_ @t73 @t72)) % 1.86/2.09 (define @t75 () (_ tptp.arr @t44)) % 1.86/2.09 (define @t76 () (_ tptp.c_2Ebool_2ECOND @t44)) % 1.86/2.09 (define @t77 () (_ tptp.ap tptp.c_2Earithmetic_2E_2B)) % 1.86/2.09 (define @t78 () (_ @t57 @t46)) % 1.86/2.09 (define @t79 () (_ tptp.c_2Ewords_2En2w @t44)) % 1.86/2.09 (define @t80 () (_ (_ tptp.mem @t79) @t78)) % 1.86/2.09 (define @t81 () (forall @t51 @t80)) % 1.86/2.09 (define @t82 () (_ tptp.c_2Ewords_2Eword__2comp @t44)) % 1.86/2.09 (define @t83 () (_ (_ tptp.mem @t82) @t48)) % 1.86/2.09 (define @t84 () (forall @t51 @t83)) % 1.86/2.09 (define @t85 () (_ tptp.c_2Ewords_2Eword__add @t44)) % 1.86/2.09 (define @t86 () (_ @t75 tptp.bool)) % 1.86/2.09 (define @t87 () (@var "Y" $$unsorted)) % 1.86/2.09 (define @t88 () (@var "V0t" $$unsorted)) % 1.86/2.09 (define @t89 () (_ tptp.p @t88)) % 1.86/2.09 (define @t90 () (not @t89)) % 1.86/2.09 (define @t91 () (_ (_ tptp.mem @t88) tptp.bool)) % 1.86/2.09 (define @t92 () (@list @t88)) % 1.86/2.09 (define @t93 () (@var "V0x" $$unsorted)) % 1.86/2.09 (define @t94 () (_ tptp.mem @t93)) % 1.86/2.09 (define @t95 () (_ @t94 @t44)) % 1.86/2.09 (define @t96 () (@list @t44 @t93)) % 1.86/2.09 (define @t97 () (@var "V1y" $$unsorted)) % 1.86/2.09 (define @t98 () (@var "V2t3" $$unsorted)) % 1.86/2.09 (define @t99 () (_ tptp.p @t98)) % 1.86/2.09 (define @t100 () (@var "V1t2" $$unsorted)) % 1.86/2.09 (define @t101 () (_ tptp.p @t100)) % 1.86/2.09 (define @t102 () (@var "V0t1" $$unsorted)) % 1.86/2.09 (define @t103 () (_ tptp.p @t102)) % 1.86/2.09 (define @t104 () (_ tptp.mem @t100)) % 1.86/2.09 (define @t105 () (@list @t100)) % 1.86/2.09 (define @t106 () (_ tptp.mem @t102)) % 1.86/2.09 (define @t107 () (@list @t102)) % 1.86/2.09 (define @t108 () (@var "V3y_27" $$unsorted)) % 1.86/2.09 (define @t109 () (_ tptp.p @t108)) % 1.86/2.09 (define @t110 () (@var "V1x_27" $$unsorted)) % 1.86/2.09 (define @t111 () (_ tptp.p @t110)) % 1.86/2.09 (define @t112 () (@var "V2y" $$unsorted)) % 1.86/2.09 (define @t113 () (_ tptp.p @t112)) % 1.86/2.09 (define @t114 () (_ tptp.p @t93)) % 1.86/2.09 (define @t115 () (@var "V5y_27" $$unsorted)) % 1.86/2.09 (define @t116 () (@var "V3x_27" $$unsorted)) % 1.86/2.09 (define @t117 () (@var "V1Q" $$unsorted)) % 1.86/2.09 (define @t118 () (_ tptp.ap @t76)) % 1.86/2.09 (define @t119 () (@var "V4y" $$unsorted)) % 1.86/2.09 (define @t120 () (@var "V2x" $$unsorted)) % 1.86/2.09 (define @t121 () (@var "V0P" $$unsorted)) % 1.86/2.09 (define @t122 () (_ tptp.p @t117)) % 1.86/2.09 (define @t123 () (@var "V3t2" $$unsorted)) % 1.86/2.09 (define @t124 () (@var "V2t1" $$unsorted)) % 1.86/2.09 (define @t125 () (_ @t118 tptp.c_2Ebool_2EF)) % 1.86/2.09 (define @t126 () (_ (_ tptp.ap @t125) @t124)) % 1.86/2.09 (define @t127 () (_ (_ tptp.ap @t126) @t123)) % 1.86/2.09 (define @t128 () (_ (_ tptp.mem @t123) @t44)) % 1.86/2.09 (define @t129 () (=> @t128 (= @t127 @t123))) % 1.86/2.09 (define @t130 () (@list @t123)) % 1.86/2.09 (define @t131 () (forall @t130 @t129)) % 1.86/2.09 (define @t132 () (_ (_ tptp.mem @t124) @t44)) % 1.86/2.09 (define @t133 () (=> @t132 @t131)) % 1.86/2.09 (define @t134 () (@list @t124)) % 1.86/2.09 (define @t135 () (forall @t134 @t133)) % 1.86/2.09 (define @t136 () (_ @t118 tptp.c_2Ebool_2ET)) % 1.86/2.09 (define @t137 () (_ (_ tptp.ap @t136) @t102)) % 1.86/2.09 (define @t138 () (_ (_ tptp.ap @t137) @t100)) % 1.86/2.09 (define @t139 () (_ @t104 @t44)) % 1.86/2.09 (define @t140 () (=> @t139 (= @t138 @t102))) % 1.86/2.09 (define @t141 () (forall @t105 @t140)) % 1.86/2.09 (define @t142 () (_ @t106 @t44)) % 1.86/2.09 (define @t143 () (=> @t142 @t141)) % 1.86/2.09 (define @t144 () (forall @t107 @t143)) % 1.86/2.09 (define @t145 () (and @t144 @t135)) % 1.86/2.09 (define @t146 () (forall @t51 @t145)) % 1.86/2.09 (define @t147 () (@var "V1w" $$unsorted)) % 1.86/2.09 (define @t148 () (_ tptp.ap @t82)) % 1.86/2.09 (define @t149 () (_ @t148 @t147)) % 1.86/2.09 (define @t150 () (@var "V0v" $$unsorted)) % 1.86/2.09 (define @t151 () (_ tptp.ap @t85)) % 1.86/2.09 (define @t152 () (_ @t151 @t150)) % 1.86/2.09 (define @t153 () (_ (_ tptp.ap @t152) @t149)) % 1.86/2.09 (define @t154 () (_ tptp.ap @t50)) % 1.86/2.09 (define @t155 () (_ @t154 @t150)) % 1.86/2.09 (define @t156 () (_ (_ tptp.ap @t155) @t147)) % 1.86/2.09 (define @t157 () (= @t156 @t153)) % 1.86/2.09 (define @t158 () (_ tptp.mem @t147)) % 1.86/2.09 (define @t159 () (_ @t158 @t46)) % 1.86/2.09 (define @t160 () (@list @t147)) % 1.86/2.09 (define @t161 () (forall @t160 (=> @t159 @t157))) % 1.86/2.09 (define @t162 () (_ tptp.mem @t150)) % 1.86/2.09 (define @t163 () (_ @t162 @t46)) % 1.86/2.09 (define @t164 () (=> @t163 @t161)) % 1.86/2.09 (define @t165 () (@list @t44 @t150)) % 1.86/2.09 (define @t166 () (forall @t165 @t164)) % 1.86/2.09 (define @t167 () (@var "V2m" tptp.tp__ty_2Enum_2Enum)) % 1.86/2.09 (define @t168 () (_ tptp.inj__ty_2Enum_2Enum @t167)) % 1.86/2.09 (define @t169 () (@var "V3n" tptp.tp__ty_2Enum_2Enum)) % 1.86/2.09 (define @t170 () (_ tptp.inj__ty_2Enum_2Enum @t169)) % 1.86/2.09 (define @t171 () (_ @t63 @t170)) % 1.86/2.09 (define @t172 () (_ (_ tptp.ap @t171) @t168)) % 1.86/2.09 (define @t173 () (@var "A_27b" tptp.del)) % 1.86/2.09 (define @t174 () (_ tptp.c_2Ewords_2En2w @t173)) % 1.86/2.09 (define @t175 () (_ tptp.ap @t174)) % 1.86/2.09 (define @t176 () (_ @t175 @t172)) % 1.86/2.09 (define @t177 () (_ tptp.c_2Ewords_2Eword__2comp @t173)) % 1.86/2.09 (define @t178 () (_ tptp.ap @t177)) % 1.86/2.09 (define @t179 () (_ @t178 @t176)) % 1.86/2.09 (define @t180 () (_ @t63 @t168)) % 1.86/2.09 (define @t181 () (_ (_ tptp.ap @t180) @t170)) % 1.86/2.09 (define @t182 () (_ @t175 @t181)) % 1.86/2.09 (define @t183 () (_ tptp.ap tptp.c_2Earithmetic_2E_3C_3D)) % 1.86/2.09 (define @t184 () (_ @t183 @t170)) % 1.86/2.09 (define @t185 () (_ (_ tptp.ap @t184) @t168)) % 1.86/2.09 (define @t186 () (_ @t45 @t173)) % 1.86/2.09 (define @t187 () (_ tptp.c_2Ebool_2ECOND @t186)) % 1.86/2.09 (define @t188 () (_ (_ tptp.ap @t187) @t185)) % 1.86/2.09 (define @t189 () (_ (_ tptp.ap @t188) @t182)) % 1.86/2.09 (define @t190 () (_ (_ tptp.ap @t189) @t179)) % 1.86/2.09 (define @t191 () (_ @t175 @t170)) % 1.86/2.09 (define @t192 () (_ @t178 @t191)) % 1.86/2.09 (define @t193 () (_ @t175 @t168)) % 1.86/2.09 (define @t194 () (_ tptp.c_2Ewords_2Eword__add @t173)) % 1.86/2.09 (define @t195 () (_ (_ tptp.ap @t194) @t193)) % 1.86/2.09 (define @t196 () (_ (_ tptp.ap @t195) @t192)) % 1.86/2.09 (define @t197 () (= @t196 @t190)) % 1.86/2.09 (define @t198 () (@list @t167 @t169)) % 1.86/2.09 (define @t199 () (forall @t198 @t197)) % 1.86/2.09 (define @t200 () (@var "V1n" tptp.tp__ty_2Enum_2Enum)) % 1.86/2.09 (define @t201 () (_ tptp.inj__ty_2Enum_2Enum @t200)) % 1.86/2.09 (define @t202 () (@var "V0m" tptp.tp__ty_2Enum_2Enum)) % 1.86/2.09 (define @t203 () (_ tptp.inj__ty_2Enum_2Enum @t202)) % 1.86/2.09 (define @t204 () (_ @t77 @t203)) % 1.86/2.09 (define @t205 () (_ (_ tptp.ap @t204) @t201)) % 1.86/2.09 (define @t206 () (_ tptp.ap @t79)) % 1.86/2.09 (define @t207 () (_ @t206 @t205)) % 1.86/2.09 (define @t208 () (_ @t148 @t207)) % 1.86/2.09 (define @t209 () (_ @t206 @t201)) % 1.86/2.09 (define @t210 () (_ @t148 @t209)) % 1.86/2.09 (define @t211 () (_ @t206 @t203)) % 1.86/2.09 (define @t212 () (_ @t148 @t211)) % 1.86/2.09 (define @t213 () (_ @t151 @t212)) % 1.86/2.09 (define @t214 () (_ (_ tptp.ap @t213) @t210)) % 1.86/2.09 (define @t215 () (= @t214 @t208)) % 1.86/2.09 (define @t216 () (@list @t202 @t200)) % 1.86/2.09 (define @t217 () (forall @t216 @t215)) % 1.86/2.09 (define @t218 () (and @t217 @t199)) % 1.86/2.09 (define @t219 () (@list @t44 @t173)) % 1.86/2.09 (define @t220 () (forall @t219 @t218)) % 1.86/2.09 (define @t221 () (@var "V1b" tptp.tp__ty_2Enum_2Enum)) % 1.86/2.09 (define @t222 () (_ tptp.inj__ty_2Enum_2Enum @t221)) % 1.86/2.09 (define @t223 () (_ @t206 @t222)) % 1.86/2.09 (define @t224 () (@var "V0a" tptp.tp__ty_2Enum_2Enum)) % 1.86/2.09 (define @t225 () (_ tptp.inj__ty_2Enum_2Enum @t224)) % 1.86/2.09 (define @t226 () (_ @t206 @t225)) % 1.86/2.09 (define @t227 () (_ @t154 @t226)) % 1.86/2.09 (define @t228 () (_ (_ tptp.ap @t227) @t223)) % 1.86/2.09 (define @t229 () (_ @t63 @t225)) % 1.86/2.09 (define @t230 () (_ (_ tptp.ap @t229) @t222)) % 1.86/2.09 (define @t231 () (_ @t206 @t230)) % 1.86/2.09 (define @t232 () (= @t231 @t228)) % 1.86/2.09 (define @t233 () (_ @t183 @t222)) % 1.86/2.09 (define @t234 () (_ (_ tptp.ap @t233) @t225)) % 1.86/2.09 (define @t235 () (_ tptp.p @t234)) % 1.86/2.09 (define @t236 () (@list @t44 @t224 @t221)) % 1.86/2.09 (define @t237 () (forall @t236 (=> @t235 @t232))) % 1.86/2.09 (define @t238 () (not @t237)) % 1.86/2.09 (define @t239 () (@var "BOUND_VARIABLE_8056" $$unsorted)) % 1.86/2.09 (define @t240 () (tptp.mem (tptp.ap @t13 @t239) @t12)) % 1.86/2.09 (define @t241 () (not (tptp.mem @t239 @t16))) % 1.86/2.09 (define @t242 () (tptp.arr @t16 @t12)) % 1.86/2.09 (define @t243 () (tptp.mem @t13 @t242)) % 1.86/2.09 (define @t244 () (not @t243)) % 1.86/2.09 (define @t245 () (or @t241 @t240)) % 1.86/2.09 (define @t246 () (or @t244 @t245)) % 1.86/2.09 (define @t247 () (forall (@list @t16 @t12 @t13 @t239) @t246)) % 1.86/2.09 (define @t248 () (@list @t239)) % 1.86/2.09 (define @t249 () (forall @t248 @t246)) % 1.86/2.09 (define @t250 () (forall @t248 @t245)) % 1.86/2.09 (define @t251 () (or @t244 @t250)) % 1.86/2.09 (define @t252 () (tptp.ap @t13 @t4)) % 1.86/2.09 (define @t253 () (tptp.mem @t252 @t12)) % 1.86/2.09 (define @t254 () (tptp.mem @t4 @t16)) % 1.86/2.09 (define @t255 () (forall @t10 (or (not @t254) @t253))) % 1.86/2.09 (define @t256 () (not @t22)) % 1.86/2.09 (define @t257 () (or @t256 @t255)) % 1.86/2.09 (define @t258 () (not @t17)) % 1.86/2.09 (define @t259 () (or @t258 @t15)) % 1.86/2.09 (define @t260 () (tptp.inj__ty_2Enum_2Enum @t221)) % 1.86/2.09 (define @t261 () (tptp.c_2Ewords_2En2w @t44)) % 1.86/2.09 (define @t262 () (tptp.ap @t261 @t260)) % 1.86/2.09 (define @t263 () (tptp.inj__ty_2Enum_2Enum @t224)) % 1.86/2.09 (define @t264 () (tptp.ap @t261 @t263)) % 1.86/2.09 (define @t265 () (tptp.c_2Ewords_2Eword__sub @t44)) % 1.86/2.09 (define @t266 () (tptp.ap @t265 @t264)) % 1.86/2.09 (define @t267 () (tptp.ap @t266 @t262)) % 1.86/2.09 (define @t268 () (tptp.ap tptp.c_2Earithmetic_2E_2D @t263)) % 1.86/2.09 (define @t269 () (tptp.ap @t268 @t260)) % 1.86/2.09 (define @t270 () (tptp.ap @t261 @t269)) % 1.86/2.09 (define @t271 () (tptp.ap tptp.c_2Earithmetic_2E_3C_3D @t260)) % 1.86/2.09 (define @t272 () (tptp.ap @t271 @t263)) % 1.86/2.09 (define @t273 () (tptp.p @t272)) % 1.86/2.09 (define @t274 () (forall @t236 (or (not @t273) (= @t270 @t267)))) % 1.86/2.09 (define @t275 () (@quantifiers_skolemize @t274 1)) % 1.86/2.09 (define @t276 () (@quantifiers_skolemize @t274 2)) % 1.86/2.09 (define @t277 () (tptp.fo__c_2Earithmetic_2E_2D @t276 @t275)) % 1.86/2.09 (define @t278 () (tptp.inj__ty_2Enum_2Enum @t277)) % 1.86/2.09 (define @t279 () (@quantifiers_skolemize @t274 0)) % 1.86/2.09 (define @t280 () (tptp.c_2Ewords_2En2w @t279)) % 1.86/2.09 (define @t281 () (tptp.ty_2Efcp_2Ecart tptp.bool @t279)) % 1.86/2.09 (define @t282 () (tptp.inj__ty_2Enum_2Enum @t52)) % 1.86/2.09 (define @t283 () (tptp.mem @t282 tptp.ty_2Enum_2Enum)) % 1.86/2.09 (define @t284 () (tptp.ty_2Efcp_2Ecart tptp.bool @t44)) % 1.86/2.09 (define @t285 () (tptp.arr tptp.ty_2Enum_2Enum @t284)) % 1.86/2.09 (define @t286 () (tptp.mem @t261 @t285)) % 1.86/2.09 (define @t287 () (@list @t279)) % 1.86/2.09 (define @t288 () (tptp.mem (tptp.ap @t280 @t278) @t281)) % 1.86/2.09 (define @t289 () (tptp.mem @t278 tptp.ty_2Enum_2Enum)) % 1.86/2.09 (define @t290 () (not @t289)) % 1.86/2.09 (define @t291 () (tptp.mem @t280 (tptp.arr tptp.ty_2Enum_2Enum @t281))) % 1.86/2.09 (define @t292 () (not @t291)) % 1.86/2.09 (define @t293 () (or @t292 @t290 @t288)) % 1.86/2.09 (define @t294 () (@list false false false)) % 1.86/2.09 (define @t295 () (tptp.inj__ty_2Enum_2Enum @t59)) % 1.86/2.09 (define @t296 () (tptp.inj__ty_2Enum_2Enum @t61)) % 1.86/2.09 (define @t297 () (tptp.ap tptp.c_2Earithmetic_2E_2D @t296)) % 1.86/2.09 (define @t298 () (tptp.ap @t297 @t295)) % 1.86/2.09 (define @t299 () (tptp.fo__c_2Earithmetic_2E_2D @t61 @t59)) % 1.86/2.09 (define @t300 () (tptp.inj__ty_2Enum_2Enum @t299)) % 1.86/2.09 (define @t301 () (tptp.inj__ty_2Enum_2Enum @t275)) % 1.86/2.09 (define @t302 () (tptp.inj__ty_2Enum_2Enum @t276)) % 1.86/2.09 (define @t303 () (tptp.ap (tptp.ap tptp.c_2Earithmetic_2E_2D @t302) @t301)) % 1.86/2.09 (define @t304 () (forall @t69 (= @t300 @t298))) % 1.86/2.09 (define @t305 () (= @t278 @t303)) % 1.86/2.09 (define @t306 () (@list false)) % 1.86/2.09 (define @t307 () (@list @t304)) % 1.86/2.09 (define @t308 () (tptp.ap @t280 @t303)) % 1.86/2.09 (define @t309 () (tptp.mem @t308 @t281)) % 1.86/2.09 (define @t310 () (tptp.c_2Ewords_2Eword__2comp @t279)) % 1.86/2.09 (define @t311 () (@var "BOUND_VARIABLE_8934" $$unsorted)) % 1.86/2.09 (define @t312 () (@var "BOUND_VARIABLE_8963" tptp.del)) % 1.86/2.09 (define @t313 () (or (not (tptp.mem @t124 @t312)) (not (tptp.mem @t311 @t312)) (= @t311 (tptp.ap (tptp.ap (tptp.ap (tptp.c_2Ebool_2ECOND @t312) tptp.c_2Ebool_2EF) @t124) @t311)))) % 1.86/2.09 (define @t314 () (@list @t124 @t311)) % 1.86/2.09 (define @t315 () (forall (@list @t312) (forall @t314 @t313))) % 1.86/2.09 (define @t316 () (@var "BOUND_VARIABLE_8894" $$unsorted)) % 1.86/2.09 (define @t317 () (@var "BOUND_VARIABLE_8948" tptp.del)) % 1.86/2.09 (define @t318 () (or (not (tptp.mem @t102 @t317)) (not (tptp.mem @t316 @t317)) (= @t102 (tptp.ap (tptp.ap (tptp.ap (tptp.c_2Ebool_2ECOND @t317) tptp.c_2Ebool_2ET) @t102) @t316)))) % 1.86/2.09 (define @t319 () (@list @t102 @t316)) % 1.86/2.09 (define @t320 () (forall (@list @t317) (forall @t319 @t318))) % 1.86/2.09 (define @t321 () (tptp.c_2Ebool_2ECOND @t44)) % 1.86/2.09 (define @t322 () (tptp.ap @t321 tptp.c_2Ebool_2EF)) % 1.86/2.09 (define @t323 () (tptp.ap @t322 @t124)) % 1.86/2.09 (define @t324 () (= @t311 (tptp.ap @t323 @t311))) % 1.86/2.09 (define @t325 () (not (tptp.mem @t311 @t44))) % 1.86/2.09 (define @t326 () (tptp.mem @t124 @t44)) % 1.86/2.09 (define @t327 () (not @t326)) % 1.86/2.09 (define @t328 () (or @t327 @t325 @t324)) % 1.86/2.09 (define @t329 () (forall @t314 @t328)) % 1.86/2.09 (define @t330 () (forall @t51 @t329)) % 1.86/2.09 (define @t331 () (@list @t44)) % 1.86/2.09 (define @t332 () (tptp.ap @t321 tptp.c_2Ebool_2ET)) % 1.86/2.09 (define @t333 () (tptp.ap @t332 @t102)) % 1.86/2.09 (define @t334 () (= @t102 (tptp.ap @t333 @t316))) % 1.86/2.09 (define @t335 () (not (tptp.mem @t316 @t44))) % 1.86/2.09 (define @t336 () (tptp.mem @t102 @t44)) % 1.86/2.09 (define @t337 () (not @t336)) % 1.86/2.09 (define @t338 () (or @t337 @t335 @t334)) % 1.86/2.09 (define @t339 () (forall @t319 @t338)) % 1.86/2.09 (define @t340 () (forall @t51 @t339)) % 1.86/2.09 (define @t341 () (and @t340 @t330)) % 1.86/2.09 (define @t342 () (or @t325 @t324)) % 1.86/2.09 (define @t343 () (or @t327 @t342)) % 1.86/2.09 (define @t344 () (forall @t314 @t343)) % 1.86/2.09 (define @t345 () (@list @t311)) % 1.86/2.09 (define @t346 () (forall @t345 @t343)) % 1.86/2.09 (define @t347 () (forall @t345 @t342)) % 1.86/2.09 (define @t348 () (or @t327 @t347)) % 1.86/2.09 (define @t349 () (tptp.ap @t323 @t123)) % 1.86/2.09 (define @t350 () (tptp.mem @t123 @t44)) % 1.86/2.09 (define @t351 () (forall @t130 (or (not @t350) (= @t123 @t349)))) % 1.86/2.09 (define @t352 () (not @t132)) % 1.86/2.09 (define @t353 () (or @t352 @t351)) % 1.86/2.09 (define @t354 () (_ tptp.ap @t321)) % 1.86/2.09 (define @t355 () (= @t123 @t127)) % 1.86/2.09 (define @t356 () (not @t128)) % 1.86/2.09 (define @t357 () (or @t356 @t355)) % 1.86/2.09 (define @t358 () (or @t335 @t334)) % 1.86/2.09 (define @t359 () (or @t337 @t358)) % 1.86/2.09 (define @t360 () (forall @t319 @t359)) % 1.86/2.09 (define @t361 () (@list @t316)) % 1.86/2.09 (define @t362 () (forall @t361 @t359)) % 1.86/2.09 (define @t363 () (forall @t361 @t358)) % 1.86/2.09 (define @t364 () (or @t337 @t363)) % 1.86/2.09 (define @t365 () (tptp.ap @t333 @t100)) % 1.86/2.09 (define @t366 () (tptp.mem @t100 @t44)) % 1.86/2.09 (define @t367 () (forall @t105 (or (not @t366) (= @t102 @t365)))) % 1.86/2.09 (define @t368 () (not @t142)) % 1.86/2.09 (define @t369 () (or @t368 @t367)) % 1.86/2.09 (define @t370 () (= @t102 @t138)) % 1.86/2.09 (define @t371 () (not @t139)) % 1.86/2.09 (define @t372 () (or @t371 @t370)) % 1.86/2.09 (define @t373 () (tptp.ap @t310 @t308)) % 1.86/2.09 (define @t374 () (tptp.ap (tptp.ap tptp.c_2Earithmetic_2E_2D @t301) @t302)) % 1.86/2.09 (define @t375 () (tptp.ap @t280 @t374)) % 1.86/2.09 (define @t376 () (_ tptp.ap @t261)) % 1.86/2.09 (define @t377 () (_ tptp.ap @t265)) % 1.86/2.09 (define @t378 () (not @t235)) % 1.86/2.09 (define @t379 () (or @t378 @t232)) % 1.86/2.09 (define @t380 () (tptp.ap @t280 @t302)) % 1.86/2.09 (define @t381 () (tptp.ap @t280 @t301)) % 1.86/2.09 (define @t382 () (tptp.ap (tptp.ap (tptp.c_2Ewords_2Eword__sub @t279) @t381) @t380)) % 1.86/2.09 (define @t383 () (= @t375 @t382)) % 1.86/2.09 (define @t384 () (tptp.ap tptp.c_2Earithmetic_2E_3C_3D @t302)) % 1.86/2.09 (define @t385 () (tptp.ap @t384 @t301)) % 1.86/2.09 (define @t386 () (tptp.p @t385)) % 1.86/2.09 (define @t387 () (not @t386)) % 1.86/2.09 (define @t388 () (or @t387 @t383)) % 1.86/2.09 (define @t389 () (@list true)) % 1.86/2.09 (define @t390 () (@list @t388)) % 1.86/2.09 (define @t391 () (@var "BOUND_VARIABLE_9019" $$unsorted)) % 1.86/2.09 (define @t392 () (tptp.c_2Ewords_2Eword__2comp @t44)) % 1.86/2.09 (define @t393 () (tptp.c_2Ewords_2Eword__add @t44)) % 1.86/2.09 (define @t394 () (tptp.ap @t393 @t150)) % 1.86/2.09 (define @t395 () (tptp.ap @t265 @t150)) % 1.86/2.09 (define @t396 () (= (tptp.ap @t395 @t391) (tptp.ap @t394 (tptp.ap @t392 @t391)))) % 1.86/2.09 (define @t397 () (not (tptp.mem @t391 @t284))) % 1.86/2.09 (define @t398 () (tptp.mem @t150 @t284)) % 1.86/2.09 (define @t399 () (not @t398)) % 1.86/2.09 (define @t400 () (or @t397 @t396)) % 1.86/2.09 (define @t401 () (or @t399 @t400)) % 1.86/2.09 (define @t402 () (forall (@list @t44 @t150 @t391) @t401)) % 1.86/2.09 (define @t403 () (@list @t391)) % 1.86/2.09 (define @t404 () (forall @t403 @t401)) % 1.86/2.09 (define @t405 () (forall @t403 @t400)) % 1.86/2.09 (define @t406 () (or @t399 @t405)) % 1.86/2.09 (define @t407 () (tptp.ap @t392 @t147)) % 1.86/2.09 (define @t408 () (tptp.ap @t394 @t407)) % 1.86/2.09 (define @t409 () (tptp.ap @t395 @t147)) % 1.86/2.09 (define @t410 () (tptp.mem @t147 @t284)) % 1.86/2.09 (define @t411 () (forall @t160 (or (not @t410) (= @t409 @t408)))) % 1.86/2.09 (define @t412 () (not @t163)) % 1.86/2.09 (define @t413 () (or @t412 @t411)) % 1.86/2.09 (define @t414 () (_ tptp.ap @t392)) % 1.86/2.09 (define @t415 () (_ tptp.ap @t393)) % 1.86/2.09 (define @t416 () (not @t159)) % 1.86/2.09 (define @t417 () (or @t416 @t157)) % 1.86/2.09 (define @t418 () (tptp.mem @t380 @t281)) % 1.86/2.09 (define @t419 () (tptp.mem @t302 tptp.ty_2Enum_2Enum)) % 1.86/2.09 (define @t420 () (not @t419)) % 1.86/2.09 (define @t421 () (or @t292 @t420 @t418)) % 1.86/2.09 (define @t422 () (tptp.mem @t381 @t281)) % 1.86/2.09 (define @t423 () (tptp.mem @t301 tptp.ty_2Enum_2Enum)) % 1.86/2.09 (define @t424 () (not @t423)) % 1.86/2.09 (define @t425 () (or @t292 @t424 @t422)) % 1.86/2.09 (define @t426 () (= @t382 (tptp.ap (tptp.ap (tptp.c_2Ewords_2Eword__add @t279) @t381) (tptp.ap @t310 @t380)))) % 1.86/2.09 (define @t427 () (not @t418)) % 1.86/2.09 (define @t428 () (not @t422)) % 1.86/2.09 (define @t429 () (or @t428 @t427 @t426)) % 1.86/2.09 (define @t430 () (tptp.inj__ty_2Enum_2Enum @t167)) % 1.86/2.09 (define @t431 () (tptp.inj__ty_2Enum_2Enum @t169)) % 1.86/2.09 (define @t432 () (tptp.ap tptp.c_2Earithmetic_2E_2D @t431)) % 1.86/2.09 (define @t433 () (tptp.ap @t432 @t430)) % 1.86/2.09 (define @t434 () (@var "BOUND_VARIABLE_9138" tptp.del)) % 1.86/2.09 (define @t435 () (tptp.c_2Ewords_2En2w @t434)) % 1.86/2.09 (define @t436 () (tptp.c_2Ewords_2Eword__2comp @t434)) % 1.86/2.09 (define @t437 () (tptp.ap tptp.c_2Earithmetic_2E_2D @t430)) % 1.86/2.09 (define @t438 () (tptp.ap @t437 @t431)) % 1.86/2.09 (define @t439 () (tptp.ap tptp.c_2Earithmetic_2E_3C_3D @t431)) % 1.86/2.09 (define @t440 () (tptp.ap @t439 @t430)) % 1.86/2.09 (define @t441 () (= (tptp.ap (tptp.ap (tptp.c_2Ewords_2Eword__add @t434) (tptp.ap @t435 @t430)) (tptp.ap @t436 (tptp.ap @t435 @t431))) (tptp.ap (tptp.ap (tptp.ap (tptp.c_2Ebool_2ECOND (tptp.ty_2Efcp_2Ecart tptp.bool @t434)) @t440) (tptp.ap @t435 @t438)) (tptp.ap @t436 (tptp.ap @t435 @t433))))) % 1.86/2.09 (define @t442 () (@var "BOUND_VARIABLE_9136" tptp.del)) % 1.86/2.09 (define @t443 () (forall (@list @t442 @t434 @t167 @t169) @t441)) % 1.86/2.09 (define @t444 () (forall (@list @t442 @t434) (forall @t198 @t441))) % 1.86/2.09 (define @t445 () (tptp.inj__ty_2Enum_2Enum @t200)) % 1.86/2.09 (define @t446 () (tptp.inj__ty_2Enum_2Enum @t202)) % 1.86/2.09 (define @t447 () (tptp.ap tptp.c_2Earithmetic_2E_2B @t446)) % 1.86/2.09 (define @t448 () (tptp.ap @t447 @t445)) % 1.86/2.09 (define @t449 () (@var "BOUND_VARIABLE_9117" tptp.del)) % 1.86/2.09 (define @t450 () (tptp.c_2Ewords_2En2w @t449)) % 1.86/2.09 (define @t451 () (tptp.c_2Ewords_2Eword__2comp @t449)) % 1.86/2.09 (define @t452 () (= (tptp.ap (tptp.ap (tptp.c_2Ewords_2Eword__add @t449) (tptp.ap @t451 (tptp.ap @t450 @t446))) (tptp.ap @t451 (tptp.ap @t450 @t445))) (tptp.ap @t451 (tptp.ap @t450 @t448)))) % 1.86/2.09 (define @t453 () (@var "BOUND_VARIABLE_9119" tptp.del)) % 1.86/2.09 (define @t454 () (forall (@list @t449 @t453 @t202 @t200) @t452)) % 1.86/2.09 (define @t455 () (forall (@list @t449 @t453) (forall @t216 @t452))) % 1.86/2.09 (define @t456 () (tptp.c_2Ewords_2En2w @t173)) % 1.86/2.09 (define @t457 () (tptp.ap @t456 @t433)) % 1.86/2.09 (define @t458 () (tptp.c_2Ewords_2Eword__2comp @t173)) % 1.86/2.09 (define @t459 () (tptp.ap @t458 @t457)) % 1.86/2.09 (define @t460 () (tptp.ap @t456 @t438)) % 1.86/2.09 (define @t461 () (tptp.ty_2Efcp_2Ecart tptp.bool @t173)) % 1.86/2.09 (define @t462 () (tptp.c_2Ebool_2ECOND @t461)) % 1.86/2.09 (define @t463 () (tptp.ap @t462 @t440)) % 1.86/2.09 (define @t464 () (tptp.ap @t463 @t460)) % 1.86/2.09 (define @t465 () (tptp.ap @t464 @t459)) % 1.86/2.09 (define @t466 () (tptp.ap @t456 @t431)) % 1.86/2.09 (define @t467 () (tptp.ap @t458 @t466)) % 1.86/2.09 (define @t468 () (tptp.ap @t456 @t430)) % 1.86/2.09 (define @t469 () (tptp.c_2Ewords_2Eword__add @t173)) % 1.86/2.09 (define @t470 () (tptp.ap @t469 @t468)) % 1.86/2.09 (define @t471 () (tptp.ap @t470 @t467)) % 1.86/2.09 (define @t472 () (forall @t198 (= @t471 @t465))) % 1.86/2.09 (define @t473 () (forall @t219 @t472)) % 1.86/2.09 (define @t474 () (@list @t44 @t173)) % 1.86/2.09 (define @t475 () (tptp.ap @t261 @t448)) % 1.86/2.09 (define @t476 () (tptp.ap @t392 @t475)) % 1.86/2.09 (define @t477 () (tptp.ap @t261 @t445)) % 1.86/2.09 (define @t478 () (tptp.ap @t392 @t477)) % 1.86/2.09 (define @t479 () (tptp.ap @t261 @t446)) % 1.86/2.09 (define @t480 () (tptp.ap @t392 @t479)) % 1.86/2.09 (define @t481 () (tptp.ap @t393 @t480)) % 1.86/2.09 (define @t482 () (tptp.ap @t481 @t478)) % 1.86/2.09 (define @t483 () (forall @t216 (= @t482 @t476))) % 1.86/2.09 (define @t484 () (forall @t219 @t483)) % 1.86/2.09 (define @t485 () (and @t484 @t473)) % 1.86/2.09 (define @t486 () (_ tptp.ap @t458)) % 1.86/2.09 (define @t487 () (_ tptp.ap @t456)) % 1.86/2.09 (define @t488 () (tptp.p @t4)) % 1.86/2.09 (define @t489 () (tptp.inj__o @t488)) % 1.86/2.09 (define @t490 () (tptp.mem @t4 tptp.bool)) % 1.86/2.09 (define @t491 () (not @t9)) % 1.86/2.09 (define @t492 () (or @t491 @t7)) % 1.86/2.09 (define @t493 () (@purify @t386)) % 1.86/2.09 (define @t494 () (tptp.inj__o @t386)) % 1.86/2.09 (define @t495 () (= @t385 @t494)) % 1.86/2.09 (define @t496 () (tptp.mem @t385 tptp.bool)) % 1.86/2.09 (define @t497 () (not @t496)) % 1.86/2.09 (define @t498 () (or @t497 @t495)) % 1.86/2.09 (define @t499 () (forall @t10 (or (not @t490) (= @t4 @t489)))) % 1.86/2.09 (define @t500 () (= @t385 (tptp.inj__o @t493))) % 1.86/2.09 (define @t501 () (or @t497 @t500)) % 1.86/2.09 (define @t502 () (@list @t499)) % 1.86/2.09 (define @t503 () (tptp.arr tptp.ty_2Enum_2Enum tptp.bool)) % 1.86/2.09 (define @t504 () (tptp.arr tptp.ty_2Enum_2Enum @t503)) % 1.86/2.09 (define @t505 () (tptp.mem tptp.c_2Earithmetic_2E_3C_3D @t504)) % 1.86/2.09 (define @t506 () (tptp.mem @t384 @t503)) % 1.86/2.09 (define @t507 () (not @t505)) % 1.86/2.09 (define @t508 () (or @t507 @t420 @t506)) % 1.86/2.09 (define @t509 () (not @t506)) % 1.86/2.09 (define @t510 () (or @t509 @t424 @t496)) % 1.86/2.09 (define @t511 () (@list false false)) % 1.86/2.09 (define @t512 () (tptp.p tptp.c_2Ebool_2ET)) % 1.86/2.09 (define @t513 () (@purify @t512)) % 1.86/2.09 (define @t514 () (tptp.inj__o @t513)) % 1.86/2.09 (define @t515 () (tptp.inj__o @t512)) % 1.86/2.09 (define @t516 () (= tptp.c_2Ebool_2ET @t515)) % 1.86/2.09 (define @t517 () (tptp.mem tptp.c_2Ebool_2ET tptp.bool)) % 1.86/2.09 (define @t518 () (not @t517)) % 1.86/2.09 (define @t519 () (or @t518 @t516)) % 1.86/2.09 (define @t520 () (= tptp.c_2Ebool_2ET @t514)) % 1.86/2.09 (define @t521 () (or @t518 @t520)) % 1.86/2.09 (define @t522 () (tptp.c_2Ebool_2ECOND @t281)) % 1.86/2.09 (define @t523 () (tptp.ap @t522 tptp.c_2Ebool_2ET)) % 1.86/2.09 (define @t524 () (tptp.ap @t523 @t375)) % 1.86/2.09 (define @t525 () (tptp.ap @t524 @t373)) % 1.86/2.09 (define @t526 () (= @t375 @t525)) % 1.86/2.09 (define @t527 () (tptp.fo__c_2Earithmetic_2E_2D @t275 @t276)) % 1.86/2.09 (define @t528 () (tptp.inj__ty_2Enum_2Enum @t527)) % 1.86/2.09 (define @t529 () (tptp.mem (tptp.ap @t280 @t528) @t281)) % 1.86/2.09 (define @t530 () (tptp.mem @t528 tptp.ty_2Enum_2Enum)) % 1.86/2.09 (define @t531 () (not @t530)) % 1.86/2.09 (define @t532 () (or @t292 @t531 @t529)) % 1.86/2.09 (define @t533 () (= @t528 @t374)) % 1.86/2.09 (define @t534 () (tptp.mem @t375 @t281)) % 1.86/2.09 (define @t535 () (tptp.mem @t373 @t281)) % 1.86/2.09 (define @t536 () (not @t535)) % 1.86/2.09 (define @t537 () (not @t534)) % 1.86/2.09 (define @t538 () (or @t537 @t536 @t526)) % 1.86/2.09 (define @t539 () (@list false true false)) % 1.86/2.09 (define @t540 () (tptp.arr @t284 @t284)) % 1.86/2.09 (define @t541 () (tptp.mem @t392 @t540)) % 1.86/2.09 (define @t542 () (not @t309)) % 1.86/2.09 (define @t543 () (tptp.mem @t310 (tptp.arr @t281 @t281))) % 1.86/2.09 (define @t544 () (not @t543)) % 1.86/2.09 (define @t545 () (or @t544 @t542 @t535)) % 1.86/2.09 (assume @p1 (forall @t3 (= (_ tptp.p @t2) @t1))) % 1.86/2.09 (assume @p2 (forall @t3 (_ (_ tptp.mem @t2) tptp.bool))) % 1.86/2.09 (assume @p3 @t11) % 1.86/2.09 (assume @p4 @t25) % 1.86/2.09 (assume @p5 (forall (@list @t16 @t12 @t26) (=> (forall @t10 (=> @t17 (_ (_ tptp.mem @t28) @t12))) (_ (_ tptp.mem @t27) @t20)))) % 1.86/2.09 (assume @p6 (forall @t24 (=> @t22 (forall (@list @t29) (=> (_ (_ tptp.mem @t29) @t20) (=> (forall @t10 (=> @t17 (= @t14 (_ (_ tptp.ap @t29) @t4)))) (= @t13 @t29))))))) % 1.86/2.09 (assume @p7 (forall (@list @t16 @t26 @t4) (=> @t17 (= (_ (_ tptp.ap @t27) @t4) @t28)))) % 1.86/2.09 (assume @p8 (_ (_ tptp.mem tptp.c_2Ebool_2E_7E) @t31)) % 1.86/2.09 (assume @p9 (forall @t36 (=> @t35 (= (_ tptp.p (_ (_ tptp.ap tptp.c_2Ebool_2E_7E) @t32)) (not @t33))))) % 1.86/2.09 (assume @p10 (_ (_ tptp.mem tptp.c_2Emin_2E_3D_3D_3E) @t37)) % 1.86/2.09 (assume @p11 (forall @t36 (=> @t35 (forall @t41 (=> @t40 (= (_ tptp.p (_ (_ tptp.ap (_ (_ tptp.ap tptp.c_2Emin_2E_3D_3D_3E) @t32)) @t38)) (=> @t33 @t39))))))) % 1.86/2.09 (assume @p12 (_ (_ tptp.mem tptp.c_2Ebool_2EF) tptp.bool)) % 1.86/2.09 (assume @p13 (not (_ tptp.p tptp.c_2Ebool_2EF))) % 1.86/2.09 (assume @p14 @t42) % 1.86/2.09 (assume @p15 @t43) % 1.86/2.09 (assume @p16 (forall @t51 (_ (_ tptp.mem @t50) @t49))) % 1.86/2.09 (assume @p17 (forall @t54 (= (_ tptp.surj__ty_2Enum_2Enum @t53) @t52))) % 1.86/2.09 (assume @p18 @t56) % 1.86/2.09 (assume @p19 (forall @t10 (=> (_ @t8 tptp.ty_2Enum_2Enum) (= @t4 (_ tptp.inj__ty_2Enum_2Enum (_ tptp.surj__ty_2Enum_2Enum @t4)))))) % 1.86/2.09 (assume @p20 (_ (_ tptp.mem tptp.c_2Earithmetic_2E_2D) @t58)) % 1.86/2.09 (assume @p21 @t70) % 1.86/2.09 (assume @p22 @t74) % 1.86/2.09 (assume @p23 (forall @t51 (_ (_ tptp.mem @t76) (_ @t30 (_ @t75 (_ @t75 @t44)))))) % 1.86/2.09 (assume @p24 (_ (_ tptp.mem tptp.c_2Earithmetic_2E_2B) @t58)) % 1.86/2.09 (assume @p25 (forall @t69 (= (_ tptp.inj__ty_2Enum_2Enum (_ (_ tptp.fo__c_2Earithmetic_2E_2B @t61) @t59)) (_ (_ tptp.ap (_ @t77 @t62)) @t60)))) % 1.86/2.09 (assume @p26 @t81) % 1.86/2.09 (assume @p27 @t84) % 1.86/2.09 (assume @p28 (forall @t51 (_ (_ tptp.mem @t85) @t49))) % 1.86/2.09 (assume @p29 (forall @t51 (_ (_ tptp.mem (_ tptp.c_2Emin_2E_3D @t44)) (_ @t75 @t86)))) % 1.86/2.09 (assume @p30 (forall (@list @t16 @t4) (=> @t17 (forall (@list @t87) (=> (_ (_ tptp.mem @t87) @t16) (= (_ tptp.p (_ (_ tptp.ap (_ (_ tptp.ap (_ tptp.c_2Emin_2E_3D @t16)) @t4)) @t87)) (= @t4 @t87))))))) % 1.86/2.09 (assume @p31 (forall @t51 (_ (_ tptp.mem (_ tptp.c_2Ebool_2E_21 @t44)) (_ (_ tptp.arr @t86) tptp.bool)))) % 1.86/2.09 (assume @p32 (forall (@list @t16 @t32) (=> (_ @t34 (_ @t19 tptp.bool)) (= (_ tptp.p (_ (_ tptp.ap (_ tptp.c_2Ebool_2E_21 @t16)) @t32)) (forall @t10 (=> @t17 (_ tptp.p (_ (_ tptp.ap @t32) @t4)))))))) % 1.86/2.09 (assume @p33 (_ (_ tptp.mem tptp.c_2Ebool_2E_2F_5C) @t37)) % 1.86/2.09 (assume @p34 (forall @t36 (=> @t35 (forall @t41 (=> @t40 (= (_ tptp.p (_ (_ tptp.ap (_ (_ tptp.ap tptp.c_2Ebool_2E_2F_5C) @t32)) @t38)) (and @t33 @t39))))))) % 1.86/2.09 (assume @p35 true) % 1.86/2.09 (assume @p36 (forall @t92 (=> @t91 (and (= (=> true @t89) @t89) (= (=> @t89 true) true) (= (=> false @t89) true) (= (=> @t89 @t89) true) (= (=> @t89 false) @t90))))) % 1.86/2.09 (assume @p37 (forall @t96 (=> @t95 (= (= @t93 @t93) true)))) % 1.86/2.09 (assume @p38 (forall @t96 (=> @t95 (forall (@list @t97) (=> (_ (_ tptp.mem @t97) @t44) (= (= @t93 @t97) (= @t97 @t93))))))) % 1.86/2.09 (assume @p39 (forall @t92 (=> @t91 (and (= (= true @t89) @t89) (= (= @t89 true) @t89) (= (= false @t89) @t90) (= (= @t89 false) @t90))))) % 1.86/2.09 (assume @p40 (forall @t107 (=> (_ @t106 tptp.bool) (forall @t105 (=> (_ @t104 tptp.bool) (forall (@list @t98) (=> (_ (_ tptp.mem @t98) tptp.bool) (= (=> @t103 (=> @t101 @t99)) (=> (and @t103 @t101) @t99))))))))) % 1.86/2.09 (assume @p41 (forall (@list @t93) (=> (_ @t94 tptp.bool) (forall (@list @t110) (=> (_ (_ tptp.mem @t110) tptp.bool) (forall (@list @t112) (=> (_ (_ tptp.mem @t112) tptp.bool) (forall (@list @t108) (=> (_ (_ tptp.mem @t108) tptp.bool) (=> (and (= @t114 @t111) (=> @t111 (= @t113 @t109))) (= (=> @t114 @t113) (=> @t111 @t109)))))))))))) % 1.86/2.09 (assume @p42 (forall (@list @t44 @t121) (=> (_ (_ tptp.mem @t121) tptp.bool) (forall (@list @t117) (=> (_ (_ tptp.mem @t117) tptp.bool) (forall (@list @t120) (=> (_ (_ tptp.mem @t120) @t44) (forall (@list @t116) (=> (_ (_ tptp.mem @t116) @t44) (forall (@list @t119) (=> (_ (_ tptp.mem @t119) @t44) (forall (@list @t115) (=> (_ (_ tptp.mem @t115) @t44) (=> (and (= (_ tptp.p @t121) @t122) (=> @t122 (= @t120 @t116)) (=> (not @t122) (= @t119 @t115))) (= (_ (_ tptp.ap (_ (_ tptp.ap (_ @t118 @t121)) @t120)) @t119) (_ (_ tptp.ap (_ (_ tptp.ap (_ @t118 @t117)) @t116)) @t115)))))))))))))))) % 1.86/2.09 (assume @p43 @t146) % 1.86/2.09 (assume @p44 @t166) % 1.86/2.09 (assume @p45 @t220) % 1.86/2.09 (assume @p46 @t238) % 1.86/2.09 (step @p47 :rule evaluate :args ((= false true))) % 1.86/2.09 (step @p48 :rule aci_norm :args ((= @t246 (or @t244 @t241 @t240)))) % 1.86/2.09 (step @p49 :rule cong :premises (@p48) :args (@t247)) % 1.86/2.09 (step @p50 :rule quant-merge-prenex :args ((= (forall @t24 @t249) @t247))) % 1.86/2.09 (step @p51 :rule alpha_equiv :args (@t250 (@list @t239) (@list @t4))) % 1.86/2.09 (step @p52 :rule refl :args (@t244)) % 1.86/2.09 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t251)) % 1.86/2.09 (step @p54 :rule quant-miniscope-or :args ((= @t249 @t251))) % 1.86/2.09 (step @p55 :rule trans :premises (@p54 @p53)) % 1.86/2.09 (step @p56 :rule symm :premises (@p55)) % 1.86/2.09 (step @p57 :rule cong :premises (@p56) :args ((forall @t24 (or @t244 @t255)))) % 1.86/2.09 (step @p58 :rule trans :premises (@p57 @p50)) % 1.86/2.09 (step @p59 :rule trans :premises (@p58 @p49)) % 1.86/2.09 (step @p60 :rule refl :args (@t255)) % 1.86/2.09 (step @p61 :rule refl :args ((tptp.mem @t13 @t20))) % 1.86/2.09 (step @p62 :rule refl :args (@t242)) % 1.86/2.09 (step @p63 :rule refl :args (@t13)) % 1.86/2.09 (step @p64 :rule cong :premises (@p63 @p62) :args (@t243)) % 1.86/2.09 (step @p65 :rule trans :premises (@p64 @p61)) % 1.86/2.09 (step @p66 :rule refl :args (@t21)) % 1.86/2.09 (step @p67 :rule ho_cong :premises (@p66 @p62)) % 1.86/2.09 (step @p68 :rule cong :premises (@p67 @p65) :args ((= (_ @t21 @t242) @t243))) % 1.86/2.09 (step @p69 :rule symm :premises (@p68)) % 1.86/2.09 (step @p70 :rule refl :args (@t22)) % 1.86/2.09 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 1.86/2.09 (step @p72 :rule refl :args (@t20)) % 1.86/2.09 (step @p73 :rule cong :premises (@p72 @p62) :args ((= @t20 @t242))) % 1.86/2.09 (step @p74 :rule symm :premises (@p73)) % 1.86/2.09 (step @p75 :rule eq_resolve :premises (@p72 @p74)) % 1.86/2.09 (step @p76 :rule ho_cong :premises (@p66 @p75)) % 1.86/2.09 (step @p77 :rule trans :premises (@p76 @p71)) % 1.86/2.09 (step @p78 :rule cong :premises (@p77) :args (@t256)) % 1.86/2.09 (step @p79 :rule nary_cong :premises (@p78 @p60) :args (@t257)) % 1.86/2.09 (step @p80 :rule cong :premises (@p79) :args ((forall @t24 @t257))) % 1.86/2.09 (step @p81 :rule trans :premises (@p80 @p59)) % 1.86/2.09 (step @p82 :rule bool-impl-elim :args (@t22 @t255)) % 1.86/2.09 (step @p83 :rule cong :premises (@p82) :args ((forall @t24 (=> @t22 @t255)))) % 1.86/2.09 (step @p84 :rule trans :premises (@p83 @p81)) % 1.86/2.09 (step @p85 :rule refl :args ((tptp.mem @t14 @t12))) % 1.86/2.09 (step @p86 :rule refl :args (@t12)) % 1.86/2.09 (step @p87 :rule refl :args (@t252)) % 1.86/2.09 (step @p88 :rule cong :premises (@p87 @p86) :args (@t253)) % 1.86/2.09 (step @p89 :rule trans :premises (@p88 @p85)) % 1.86/2.09 (step @p90 :rule refl :args (tptp.mem)) % 1.86/2.09 (step @p91 :rule ho_cong :premises (@p90 @p87)) % 1.86/2.09 (step @p92 :rule ho_cong :premises (@p91 @p86)) % 1.86/2.09 (step @p93 :rule cong :premises (@p92 @p89) :args ((= (_ (_ tptp.mem @t252) @t12) @t253))) % 1.86/2.09 (step @p94 :rule symm :premises (@p93)) % 1.86/2.09 (step @p95 :rule refl :args (@t15)) % 1.86/2.09 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 1.86/2.09 (step @p97 :rule refl :args (@t14)) % 1.86/2.09 (step @p98 :rule cong :premises (@p97 @p87) :args ((= @t14 @t252))) % 1.86/2.09 (step @p99 :rule symm :premises (@p98)) % 1.86/2.09 (step @p100 :rule eq_resolve :premises (@p97 @p99)) % 1.86/2.09 (step @p101 :rule ho_cong :premises (@p90 @p100)) % 1.86/2.09 (step @p102 :rule ho_cong :premises (@p101 @p86)) % 1.86/2.09 (step @p103 :rule trans :premises (@p102 @p96)) % 1.86/2.09 (step @p104 :rule refl :args (@t254)) % 1.86/2.09 (step @p105 :rule refl :args (@t17)) % 1.86/2.09 (step @p106 :rule cong :premises (@p105 @p104) :args ((= @t17 @t254))) % 1.86/2.09 (step @p107 :rule symm :premises (@p106)) % 1.86/2.09 (step @p108 :rule eq_resolve :premises (@p105 @p107)) % 1.86/2.09 (step @p109 :rule cong :premises (@p108) :args (@t258)) % 1.86/2.09 (step @p110 :rule nary_cong :premises (@p109 @p103) :args (@t259)) % 1.86/2.09 (step @p111 :rule cong :premises (@p110) :args ((forall @t10 @t259))) % 1.86/2.09 (step @p112 :rule bool-impl-elim :args (@t17 @t15)) % 1.86/2.09 (step @p113 :rule cong :premises (@p112) :args (@t18)) % 1.86/2.09 (step @p114 :rule trans :premises (@p113 @p111)) % 1.86/2.09 (step @p115 :rule refl :args (@t22)) % 1.86/2.09 (step @p116 :rule cong :premises (@p115 @p114) :args (@t23)) % 1.86/2.09 (step @p117 :rule cong :premises (@p116) :args (@t25)) % 1.86/2.09 (step @p118 :rule trans :premises (@p117 @p84)) % 1.86/2.09 (step @p119 :rule eq_resolve :premises (@p4 @p118)) % 1.86/2.09 (step @p120 :rule instantiate :premises (@p119) :args ((@list tptp.ty_2Enum_2Enum @t281 @t280 @t278))) % 1.86/2.09 (step @p121 :rule refl :args ((tptp.mem @t53 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cong :premises (@p615 @p1259) :args (@t541)) % 1.86/2.10 (step @p1261 :rule trans :premises (@p1260 @p1256)) % 1.86/2.10 (step @p1262 :rule ho_cong :premises (@p90 @p615)) % 1.86/2.10 (step @p1263 :rule ho_cong :premises (@p1262 @p1259)) % 1.86/2.10 (step @p1264 :rule cong :premises (@p1263 @p1261) :args ((= (_ (_ tptp.mem @t392) @t540) @t541))) % 1.86/2.10 (step @p1265 :rule symm :premises (@p1264)) % 1.86/2.10 (step @p1266 :rule refl :args (@t83)) % 1.86/2.10 (step @p1267 :rule eq_resolve :premises (@p1266 @p1265)) % 1.86/2.10 (step @p1268 :rule refl :args (tptp.arr)) % 1.86/2.10 (step @p1269 :rule ho_cong :premises (@p1268 @p144)) % 1.86/2.10 (step @p1270 :rule ho_cong :premises (@p1269 @p144)) % 1.86/2.10 (step @p1271 :rule cong :premises (@p1270 @p1259) :args ((= (_ (_ tptp.arr @t284) @t284) @t540))) % 1.86/2.10 (step @p1272 :rule symm :premises (@p1271)) % 1.86/2.10 (step @p1273 :rule refl :args (@t48)) % 1.86/2.10 (step @p1274 :rule eq_resolve :premises (@p1273 @p1272)) % 1.86/2.10 (step @p1275 :rule ho_cong :premises (@p1268 @p165)) % 1.86/2.10 (step @p1276 :rule ho_cong :premises (@p1275 @p165)) % 1.86/2.10 (step @p1277 :rule trans :premises (@p1276 @p1274)) % 1.86/2.10 (step @p1278 :rule ho_cong :premises (@p90 @p639)) % 1.86/2.10 (step @p1279 :rule ho_cong :premises (@p1278 @p1277)) % 1.86/2.10 (step @p1280 :rule trans :premises (@p1279 @p1267)) % 1.86/2.10 (step @p1281 :rule cong :premises (@p1280) :args (@t84)) % 1.86/2.10 (step @p1282 :rule eq_resolve :premises (@p27 @p1281)) % 1.86/2.10 (step @p1283 :rule instantiate :premises (@p1282) :args (@t287)) % 1.86/2.10 (step @p1284 :rule cnf_or_pos :args (@t545)) % 1.86/2.10 (step @p1285 :rule reordering :premises (@p1284) :args ((or @t544 @t535 @t542 (not @t545)))) % 1.86/2.10 (step @p1286 :rule chain_m_resolution :premises (@p1285 @p1283 @p1255 @p250) :args (@t542 @t539 (@list @t543 @t535 @t545))) % 1.86/2.10 (step @p1287 :rule false_intro :premises (@p1286)) % 1.86/2.10 (step @p1288 :rule symm :premises (@p1287)) % 1.86/2.10 (step @p1289 :rule trans :premises (@p1288 @p249 @p181)) % 1.86/2.10 (step @p1290 false :rule eq_resolve :premises (@p1289 @p47)) % 1.86/2.10 ) % 1.86/2.10 % SZS output end Proof % 1.86/2.10 % cvc5 exiting %------------------------------------------------------------------------------