%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU500^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:51:57 AM UTC 2026 % Result : Theorem 0.45s 0.66s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU500^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.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 17:39:16 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TH0 % 0.45/0.66 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.66 % SZS status Theorem % 0.45/0.66 % SZS output start Proof % 0.45/0.66 ( % 0.45/0.66 (declare-sort $$unsorted 0) % 0.45/0.66 (declare-const tptp.emptyset $$unsorted) % 0.45/0.66 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.45/0.66 (declare-const tptp.dsetconstrI Bool) % 0.45/0.66 (declare-const tptp.descrp Bool) % 0.45/0.66 (declare-const tptp.exuE1 Bool) % 0.45/0.66 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.45/0.66 (declare-const tptp.wellorderingAx Bool) % 0.45/0.66 (declare-const tptp.replAx Bool) % 0.45/0.66 (declare-const tptp.dsetconstrEL Bool) % 0.45/0.66 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.setextAx Bool) % 0.45/0.66 (declare-const tptp.foundationAx Bool) % 0.45/0.66 (declare-const tptp.emptysetAx Bool) % 0.45/0.66 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.dsetconstrER Bool) % 0.45/0.66 (declare-const tptp.setadjoinAx Bool) % 0.45/0.66 (declare-const tptp.powersetAx Bool) % 0.45/0.66 (declare-const tptp.omegaSAx Bool) % 0.45/0.66 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.omega0Ax Bool) % 0.45/0.66 (declare-const tptp.setunionAx Bool) % 0.45/0.66 (declare-const tptp.omega $$unsorted) % 0.45/0.66 (declare-const tptp.omegaIndAx Bool) % 0.45/0.66 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.45/0.66 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.45/0.66 (define @t1 () (@var "B" $$unsorted)) % 0.45/0.66 (define @t2 () (@var "A" $$unsorted)) % 0.45/0.66 (define @t3 () (= @t2 @t1)) % 0.45/0.66 (define @t4 () (@var "Xx" $$unsorted)) % 0.45/0.66 (define @t5 () (_ tptp.in @t4)) % 0.45/0.66 (define @t6 () (_ @t5 @t1)) % 0.45/0.66 (define @t7 () (_ @t5 @t2)) % 0.45/0.66 (define @t8 () (= @t7 @t6)) % 0.45/0.66 (define @t9 () (@list @t4)) % 0.45/0.66 (define @t10 () (forall @t9 @t8)) % 0.45/0.66 (define @t11 () (=> @t10 @t3)) % 0.45/0.66 (define @t12 () (@list @t2 @t1)) % 0.45/0.66 (define @t13 () (forall @t12 @t11)) % 0.45/0.66 (define @t14 () (= tptp.setextAx @t13)) % 0.45/0.66 (define @t15 () (_ @t5 tptp.emptyset)) % 0.45/0.66 (define @t16 () (not @t15)) % 0.45/0.66 (define @t17 () (forall @t9 @t16)) % 0.45/0.66 (define @t18 () (= tptp.emptysetAx @t17)) % 0.45/0.66 (define @t19 () (@var "Xy" $$unsorted)) % 0.45/0.66 (define @t20 () (_ tptp.in @t19)) % 0.45/0.66 (define @t21 () (_ @t20 @t2)) % 0.45/0.66 (define @t22 () (or (= @t19 @t4) @t21)) % 0.45/0.66 (define @t23 () (_ tptp.setadjoin @t4)) % 0.45/0.66 (define @t24 () (_ @t23 @t2)) % 0.45/0.66 (define @t25 () (_ @t20 @t24)) % 0.45/0.66 (define @t26 () (= @t25 @t22)) % 0.45/0.66 (define @t27 () (@list @t4 @t2 @t19)) % 0.45/0.66 (define @t28 () (forall @t27 @t26)) % 0.45/0.66 (define @t29 () (= tptp.setadjoinAx @t28)) % 0.45/0.66 (define @t30 () (forall @t9 (=> @t6 @t7))) % 0.45/0.66 (define @t31 () (_ tptp.powerset @t2)) % 0.45/0.66 (define @t32 () (_ tptp.in @t1)) % 0.45/0.66 (define @t33 () (_ @t32 @t31)) % 0.45/0.66 (define @t34 () (= @t33 @t30)) % 0.45/0.66 (define @t35 () (forall @t12 @t34)) % 0.45/0.66 (define @t36 () (= tptp.powersetAx @t35)) % 0.45/0.66 (define @t37 () (_ @t32 @t2)) % 0.45/0.66 (define @t38 () (and @t6 @t37)) % 0.45/0.66 (define @t39 () (@list @t1)) % 0.45/0.66 (define @t40 () (exists @t39 @t38)) % 0.45/0.66 (define @t41 () (_ tptp.setunion @t2)) % 0.45/0.66 (define @t42 () (_ @t5 @t41)) % 0.45/0.66 (define @t43 () (= @t42 @t40)) % 0.45/0.66 (define @t44 () (@list @t2 @t4)) % 0.45/0.66 (define @t45 () (forall @t44 @t43)) % 0.45/0.66 (define @t46 () (= tptp.setunionAx @t45)) % 0.45/0.66 (define @t47 () (_ tptp.in tptp.emptyset)) % 0.45/0.66 (define @t48 () (_ @t47 tptp.omega)) % 0.45/0.66 (define @t49 () (_ @t23 @t4)) % 0.45/0.66 (define @t50 () (_ tptp.in @t49)) % 0.45/0.66 (define @t51 () (_ @t50 tptp.omega)) % 0.45/0.66 (define @t52 () (_ @t5 tptp.omega)) % 0.45/0.66 (define @t53 () (forall @t9 (=> @t52 @t51))) % 0.45/0.66 (define @t54 () (= tptp.omegaSAx @t53)) % 0.45/0.66 (define @t55 () (forall @t9 (=> @t52 @t7))) % 0.45/0.66 (define @t56 () (_ @t50 @t2)) % 0.45/0.66 (define @t57 () (and @t52 @t7)) % 0.45/0.66 (define @t58 () (forall @t9 (=> @t57 @t56))) % 0.45/0.66 (define @t59 () (_ @t47 @t2)) % 0.45/0.66 (define @t60 () (and @t59 @t58)) % 0.45/0.66 (define @t61 () (=> @t60 @t55)) % 0.45/0.66 (define @t62 () (@list @t2)) % 0.45/0.66 (define @t63 () (forall @t62 @t61)) % 0.45/0.66 (define @t64 () (= tptp.omegaIndAx @t63)) % 0.45/0.66 (define @t65 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.45/0.66 (define @t66 () (_ (_ @t65 @t19) @t4)) % 0.45/0.66 (define @t67 () (and @t21 @t66)) % 0.45/0.66 (define @t68 () (@list @t19)) % 0.45/0.66 (define @t69 () (exists @t68 @t67)) % 0.45/0.66 (define @t70 () (= @t6 @t69)) % 0.45/0.66 (define @t71 () (forall @t9 @t70)) % 0.45/0.66 (define @t72 () (exists @t39 @t71)) % 0.45/0.66 (define @t73 () (_ @t65 @t4)) % 0.45/0.66 (define @t74 () (_ @t73 @t19)) % 0.45/0.66 (define @t75 () (lambda @t68 @t74)) % 0.45/0.66 (define @t76 () (=> @t7 (_ tptp.exu @t75))) % 0.45/0.66 (define @t77 () (forall @t9 @t76)) % 0.45/0.66 (define @t78 () (=> @t77 @t72)) % 0.45/0.66 (define @t79 () (@list @t65 @t2)) % 0.45/0.66 (define @t80 () (forall @t79 @t78)) % 0.45/0.66 (define @t81 () (= tptp.replAx @t80)) % 0.45/0.66 (define @t82 () (and @t6 @t7)) % 0.45/0.66 (define @t83 () (exists @t9 @t82)) % 0.45/0.66 (define @t84 () (not @t83)) % 0.45/0.66 (define @t85 () (and @t37 @t84)) % 0.45/0.66 (define @t86 () (exists @t39 @t85)) % 0.45/0.66 (define @t87 () (exists @t9 @t7)) % 0.45/0.66 (define @t88 () (=> @t87 @t86)) % 0.45/0.66 (define @t89 () (forall @t62 @t88)) % 0.45/0.66 (define @t90 () (= tptp.foundationAx @t89)) % 0.45/0.66 (define @t91 () (@var "E" $$unsorted)) % 0.45/0.66 (define @t92 () (_ @t5 @t91)) % 0.45/0.66 (define @t93 () (@var "D" $$unsorted)) % 0.45/0.66 (define @t94 () (_ @t20 @t93)) % 0.45/0.66 (define @t95 () (_ @t20 @t91)) % 0.45/0.66 (define @t96 () (forall @t68 (=> @t95 @t94))) % 0.45/0.66 (define @t97 () (or @t96 @t92)) % 0.45/0.66 (define @t98 () (_ (_ tptp.in @t91) @t1)) % 0.45/0.66 (define @t99 () (=> @t98 @t97)) % 0.45/0.66 (define @t100 () (@list @t91)) % 0.45/0.66 (define @t101 () (forall @t100 @t99)) % 0.45/0.66 (define @t102 () (@var "C" $$unsorted)) % 0.45/0.66 (define @t103 () (_ @t20 @t102)) % 0.45/0.66 (define @t104 () (and @t94 @t103)) % 0.45/0.66 (define @t105 () (exists @t68 @t104)) % 0.45/0.66 (define @t106 () (not @t105)) % 0.45/0.66 (define @t107 () (_ @t5 @t102)) % 0.45/0.66 (define @t108 () (_ (_ tptp.in @t93) @t1)) % 0.45/0.66 (define @t109 () (and @t108 @t107 @t106 @t101)) % 0.45/0.66 (define @t110 () (@list @t93 @t4)) % 0.45/0.66 (define @t111 () (exists @t110 @t109)) % 0.45/0.66 (define @t112 () (exists @t9 @t107)) % 0.45/0.66 (define @t113 () (forall @t9 (=> @t107 @t7))) % 0.45/0.66 (define @t114 () (and @t113 @t112)) % 0.45/0.66 (define @t115 () (=> @t114 @t111)) % 0.45/0.66 (define @t116 () (@list @t102)) % 0.45/0.66 (define @t117 () (forall @t116 @t115)) % 0.45/0.66 (define @t118 () (_ @t5 @t93)) % 0.45/0.66 (define @t119 () (forall @t9 (=> @t118 @t107))) % 0.45/0.66 (define @t120 () (forall @t9 (=> @t107 @t118))) % 0.45/0.66 (define @t121 () (or @t120 @t119)) % 0.45/0.66 (define @t122 () (_ (_ tptp.in @t102) @t1)) % 0.45/0.66 (define @t123 () (and @t122 @t108)) % 0.45/0.66 (define @t124 () (=> @t123 @t121)) % 0.45/0.66 (define @t125 () (@list @t102 @t93)) % 0.45/0.66 (define @t126 () (forall @t125 @t124)) % 0.45/0.66 (define @t127 () (= @t4 @t19)) % 0.45/0.66 (define @t128 () (= @t107 @t103)) % 0.45/0.66 (define @t129 () (forall @t116 (=> @t122 @t128))) % 0.45/0.66 (define @t130 () (=> @t129 @t127)) % 0.45/0.66 (define @t131 () (and @t7 @t21)) % 0.45/0.66 (define @t132 () (=> @t131 @t130)) % 0.45/0.66 (define @t133 () (@list @t4 @t19)) % 0.45/0.66 (define @t134 () (forall @t133 @t132)) % 0.45/0.66 (define @t135 () (=> @t122 @t113)) % 0.45/0.66 (define @t136 () (forall @t116 @t135)) % 0.45/0.66 (define @t137 () (and @t136 @t134 @t126 @t117)) % 0.45/0.66 (define @t138 () (exists @t39 @t137)) % 0.45/0.66 (define @t139 () (forall @t62 @t138)) % 0.45/0.66 (define @t140 () (= tptp.wellorderingAx @t139)) % 0.45/0.66 (define @t141 () (@var "Xphi" (-> $$unsorted Bool))) % 0.45/0.66 (define @t142 () (_ @t141 @t4)) % 0.45/0.66 (define @t143 () (lambda @t9 @t142)) % 0.45/0.66 (define @t144 () (_ tptp.descr @t143)) % 0.45/0.66 (define @t145 () (_ @t141 @t144)) % 0.45/0.66 (define @t146 () (_ tptp.exu @t143)) % 0.45/0.66 (define @t147 () (=> @t146 @t145)) % 0.45/0.66 (define @t148 () (@list @t141)) % 0.45/0.66 (define @t149 () (forall @t148 @t147)) % 0.45/0.66 (define @t150 () (= tptp.descrp @t149)) % 0.45/0.66 (define @t151 () (_ @t141 @t19)) % 0.45/0.66 (define @t152 () (lambda @t68 @t151)) % 0.45/0.66 (define @t153 () (_ tptp.dsetconstr @t2)) % 0.45/0.66 (define @t154 () (_ @t153 @t152)) % 0.45/0.66 (define @t155 () (_ @t5 @t154)) % 0.45/0.66 (define @t156 () (=> @t142 @t155)) % 0.45/0.66 (define @t157 () (@list @t2 @t141 @t4)) % 0.45/0.66 (define @t158 () (forall @t157 (=> @t7 @t156))) % 0.45/0.66 (define @t159 () (= tptp.dsetconstrI @t158)) % 0.45/0.66 (define @t160 () (forall @t157 (=> @t155 @t7))) % 0.45/0.66 (define @t161 () (= tptp.dsetconstrEL @t160)) % 0.45/0.66 (define @t162 () (forall @t157 (=> @t155 @t142))) % 0.45/0.66 (define @t163 () (= tptp.dsetconstrER @t162)) % 0.45/0.66 (define @t164 () (forall @t68 (=> @t151 @t127))) % 0.45/0.66 (define @t165 () (and @t142 @t164)) % 0.45/0.66 (define @t166 () (exists @t9 @t165)) % 0.45/0.66 (define @t167 () (=> @t146 @t166)) % 0.45/0.66 (define @t168 () (forall @t148 @t167)) % 0.45/0.66 (define @t169 () (= tptp.exuE1 @t168)) % 0.45/0.66 (define @t170 () (@var "Xphi" Bool)) % 0.45/0.66 (define @t171 () (=> (_ @t5 (_ tptp.prop2set @t170)) @t170)) % 0.45/0.66 (define @t172 () (@list @t170 @t4)) % 0.45/0.66 (define @t173 () (forall @t172 @t171)) % 0.45/0.66 (define @t174 () (=> tptp.exuE1 @t173)) % 0.45/0.66 (define @t175 () (=> tptp.dsetconstrER @t174)) % 0.45/0.66 (define @t176 () (=> tptp.dsetconstrEL @t175)) % 0.45/0.66 (define @t177 () (=> tptp.dsetconstrI @t176)) % 0.45/0.66 (define @t178 () (=> tptp.descrp @t177)) % 0.45/0.66 (define @t179 () (=> tptp.wellorderingAx @t178)) % 0.45/0.66 (define @t180 () (=> tptp.foundationAx @t179)) % 0.45/0.66 (define @t181 () (=> tptp.replAx @t180)) % 0.45/0.66 (define @t182 () (=> tptp.omegaIndAx @t181)) % 0.45/0.66 (define @t183 () (=> tptp.omegaSAx @t182)) % 0.45/0.66 (define @t184 () (=> tptp.omega0Ax @t183)) % 0.45/0.66 (define @t185 () (=> tptp.setunionAx @t184)) % 0.45/0.66 (define @t186 () (=> tptp.powersetAx @t185)) % 0.45/0.66 (define @t187 () (=> tptp.setadjoinAx @t186)) % 0.45/0.66 (define @t188 () (=> tptp.emptysetAx @t187)) % 0.45/0.66 (define @t189 () (=> tptp.setextAx @t188)) % 0.45/0.66 (define @t190 () (not @t189)) % 0.45/0.66 (define @t191 () (lambda @t148 @t166)) % 0.45/0.66 (define @t192 () (lambda @t9 @t170)) % 0.45/0.66 (define @t193 () (_ tptp.powerset tptp.emptyset)) % 0.45/0.66 (define @t194 () (_ tptp.dsetconstr @t193)) % 0.45/0.66 (define @t195 () (_ @t194 @t192)) % 0.45/0.66 (define @t196 () (@list @t170)) % 0.45/0.66 (define @t197 () (lambda @t196 @t195)) % 0.45/0.66 (define @t198 () (@var "BOUND_VARIABLE_8915" $$unsorted)) % 0.45/0.66 (define @t199 () (lambda (@list @t198) false)) % 0.45/0.66 (define @t200 () (tptp.powerset tptp.emptyset)) % 0.45/0.66 (define @t201 () (tptp.dsetconstr @t200 @t199)) % 0.45/0.66 (define @t202 () (forall @t9 (not (tptp.in @t4 @t201)))) % 0.45/0.66 (define @t203 () (_ @t141 @t4)) % 0.45/0.66 (define @t204 () (tptp.in @t4 (tptp.dsetconstr @t2 @t141))) % 0.45/0.66 (define @t205 () (not @t204)) % 0.45/0.66 (define @t206 () (forall @t157 (or @t205 @t203))) % 0.45/0.66 (define @t207 () (tptp.in @t4 @t2)) % 0.45/0.66 (define @t208 () (forall @t157 (or @t205 @t207))) % 0.45/0.66 (define @t209 () (not @t203)) % 0.45/0.66 (define @t210 () (not @t207)) % 0.45/0.66 (define @t211 () (forall @t157 (or @t210 @t209 @t204))) % 0.45/0.66 (define @t212 () (@var "BOUND_VARIABLE_8141" $$unsorted)) % 0.45/0.66 (define @t213 () (_ @t141 @t19)) % 0.45/0.66 (define @t214 () (not @t213)) % 0.45/0.66 (define @t215 () (not (_ @t141 @t212))) % 0.45/0.66 (define @t216 () (_ @t141 (tptp.descr @t141))) % 0.45/0.66 (define @t217 () (@list @t141 @t212)) % 0.45/0.66 (define @t218 () (forall @t217 (or @t216 @t215 (not (forall @t68 (or @t214 (= @t19 @t212))))))) % 0.45/0.66 (define @t219 () (@var "BOUND_VARIABLE_8061" $$unsorted)) % 0.45/0.66 (define @t220 () (tptp.in @t219 @t93)) % 0.45/0.66 (define @t221 () (not (tptp.in @t219 @t91))) % 0.45/0.66 (define @t222 () (tptp.in @t4 @t91)) % 0.45/0.66 (define @t223 () (tptp.in @t91 @t1)) % 0.45/0.66 (define @t224 () (not @t223)) % 0.45/0.66 (define @t225 () (or @t224 @t222 @t221 @t220)) % 0.45/0.66 (define @t226 () (@list @t91 @t219)) % 0.45/0.66 (define @t227 () (forall @t226 @t225)) % 0.45/0.66 (define @t228 () (not @t227)) % 0.45/0.66 (define @t229 () (tptp.in @t19 @t102)) % 0.45/0.66 (define @t230 () (tptp.in @t19 @t93)) % 0.45/0.66 (define @t231 () (forall @t68 (or (not @t230) (not @t229)))) % 0.45/0.66 (define @t232 () (not @t231)) % 0.45/0.66 (define @t233 () (tptp.in @t4 @t102)) % 0.45/0.66 (define @t234 () (not @t233)) % 0.45/0.66 (define @t235 () (tptp.in @t93 @t1)) % 0.45/0.66 (define @t236 () (not @t235)) % 0.45/0.66 (define @t237 () (not (forall @t110 (or @t236 @t234 @t232 @t228)))) % 0.45/0.66 (define @t238 () (@var "BOUND_VARIABLE_8090" $$unsorted)) % 0.45/0.66 (define @t239 () (not (tptp.in @t238 @t102))) % 0.45/0.66 (define @t240 () (forall @t9 (or @t234 @t207))) % 0.45/0.66 (define @t241 () (not @t240)) % 0.45/0.66 (define @t242 () (or @t241 @t239 @t237)) % 0.45/0.66 (define @t243 () (forall (@list @t102 @t238) @t242)) % 0.45/0.66 (define @t244 () (not @t243)) % 0.45/0.66 (define @t245 () (@var "BOUND_VARIABLE_8013" $$unsorted)) % 0.45/0.66 (define @t246 () (tptp.in @t245 @t102)) % 0.45/0.66 (define @t247 () (not (tptp.in @t245 @t93))) % 0.45/0.66 (define @t248 () (@var "BOUND_VARIABLE_8007" $$unsorted)) % 0.45/0.66 (define @t249 () (tptp.in @t248 @t93)) % 0.45/0.66 (define @t250 () (not (tptp.in @t248 @t102))) % 0.45/0.66 (define @t251 () (tptp.in @t102 @t1)) % 0.45/0.66 (define @t252 () (not @t251)) % 0.45/0.66 (define @t253 () (or @t252 @t236 @t250 @t249 @t247 @t246)) % 0.45/0.66 (define @t254 () (@list @t102 @t93 @t248 @t245)) % 0.45/0.66 (define @t255 () (forall @t254 @t253)) % 0.45/0.66 (define @t256 () (not @t255)) % 0.45/0.66 (define @t257 () (forall @t116 (or @t252 (= @t233 @t229)))) % 0.45/0.66 (define @t258 () (not @t257)) % 0.45/0.66 (define @t259 () (tptp.in @t19 @t2)) % 0.45/0.66 (define @t260 () (not @t259)) % 0.45/0.66 (define @t261 () (forall @t133 (or @t210 @t260 @t258 @t127))) % 0.45/0.66 (define @t262 () (not @t261)) % 0.45/0.66 (define @t263 () (@var "BOUND_VARIABLE_7956" $$unsorted)) % 0.45/0.66 (define @t264 () (tptp.in @t263 @t2)) % 0.45/0.66 (define @t265 () (not (tptp.in @t263 @t102))) % 0.45/0.66 (define @t266 () (or @t252 @t265 @t264)) % 0.45/0.66 (define @t267 () (@list @t102 @t263)) % 0.45/0.66 (define @t268 () (forall @t267 @t266)) % 0.45/0.66 (define @t269 () (not @t268)) % 0.45/0.66 (define @t270 () (or @t269 @t262 @t256 @t244)) % 0.45/0.66 (define @t271 () (forall @t62 (not (forall @t39 @t270)))) % 0.45/0.66 (define @t272 () (tptp.in @t4 @t1)) % 0.45/0.66 (define @t273 () (not @t272)) % 0.45/0.66 (define @t274 () (forall @t9 (or @t273 @t210))) % 0.45/0.66 (define @t275 () (not @t274)) % 0.45/0.66 (define @t276 () (tptp.in @t1 @t2)) % 0.45/0.66 (define @t277 () (not @t276)) % 0.45/0.66 (define @t278 () (not (forall @t39 (or @t277 @t275)))) % 0.45/0.66 (define @t279 () (@var "BOUND_VARIABLE_7931" $$unsorted)) % 0.45/0.66 (define @t280 () (not (tptp.in @t279 @t2))) % 0.45/0.66 (define @t281 () (or @t280 @t278)) % 0.45/0.66 (define @t282 () (forall (@list @t2 @t279) @t281)) % 0.45/0.66 (define @t283 () (_ @t65 @t19 @t4)) % 0.45/0.66 (define @t284 () (not (forall @t68 (or @t260 (not @t283))))) % 0.45/0.66 (define @t285 () (forall @t9 (= @t272 @t284))) % 0.45/0.66 (define @t286 () (not (forall @t39 (not @t285)))) % 0.45/0.66 (define @t287 () (@var "BOUND_VARIABLE_7820" $$unsorted)) % 0.45/0.66 (define @t288 () (= @t19 @t287)) % 0.45/0.66 (define @t289 () (_ @t65 @t4 @t19)) % 0.45/0.66 (define @t290 () (not (forall @t68 (or (not @t289) @t288)))) % 0.45/0.66 (define @t291 () (_ @t65 @t4 @t287)) % 0.45/0.66 (define @t292 () (@list @t287)) % 0.45/0.66 (define @t293 () (not (forall @t292 (or (not @t291) @t290)))) % 0.45/0.66 (define @t294 () (forall @t9 (or @t210 @t293))) % 0.45/0.66 (define @t295 () (forall @t79 (or (not @t294) @t286))) % 0.45/0.66 (define @t296 () (@var "BOUND_VARIABLE_7801" $$unsorted)) % 0.45/0.66 (define @t297 () (tptp.in @t296 @t2)) % 0.45/0.66 (define @t298 () (not (tptp.in @t296 tptp.omega))) % 0.45/0.66 (define @t299 () (tptp.setadjoin @t4 @t4)) % 0.45/0.66 (define @t300 () (tptp.in @t299 @t2)) % 0.45/0.66 (define @t301 () (tptp.in @t4 tptp.omega)) % 0.45/0.66 (define @t302 () (not @t301)) % 0.45/0.66 (define @t303 () (forall @t9 (or @t302 @t210 @t300))) % 0.45/0.66 (define @t304 () (not @t303)) % 0.45/0.66 (define @t305 () (tptp.in tptp.emptyset @t2)) % 0.45/0.66 (define @t306 () (not @t305)) % 0.45/0.66 (define @t307 () (or @t306 @t304 @t298 @t297)) % 0.45/0.66 (define @t308 () (@list @t2 @t296)) % 0.45/0.66 (define @t309 () (forall @t308 @t307)) % 0.45/0.66 (define @t310 () (tptp.in @t299 tptp.omega)) % 0.45/0.66 (define @t311 () (forall @t9 (or @t302 @t310))) % 0.45/0.66 (define @t312 () (=> @t311 (=> @t309 (=> @t295 (=> @t282 (=> @t271 (=> @t218 (=> @t211 (=> @t208 (=> @t206 @t202)))))))))) % 0.45/0.66 (define @t313 () (tptp.in tptp.emptyset tptp.omega)) % 0.45/0.66 (define @t314 () (=> @t48 @t312)) % 0.45/0.66 (define @t315 () (tptp.setunion @t2)) % 0.45/0.66 (define @t316 () (tptp.in @t4 @t315)) % 0.45/0.66 (define @t317 () (not (forall @t39 (or @t273 @t277)))) % 0.45/0.66 (define @t318 () (forall @t44 (= @t317 @t316))) % 0.45/0.66 (define @t319 () (=> @t318 @t314)) % 0.45/0.66 (define @t320 () (tptp.powerset @t2)) % 0.45/0.66 (define @t321 () (tptp.in @t1 @t320)) % 0.45/0.66 (define @t322 () (forall @t9 (or @t273 @t207))) % 0.45/0.66 (define @t323 () (forall @t12 (= @t322 @t321))) % 0.45/0.66 (define @t324 () (=> @t323 @t319)) % 0.45/0.66 (define @t325 () (tptp.setadjoin @t4 @t2)) % 0.45/0.66 (define @t326 () (tptp.in @t19 @t325)) % 0.45/0.66 (define @t327 () (forall @t27 (= @t326 (or @t127 @t259)))) % 0.45/0.66 (define @t328 () (=> @t327 @t324)) % 0.45/0.66 (define @t329 () (tptp.in @t4 tptp.emptyset)) % 0.45/0.66 (define @t330 () (forall @t9 (not @t329))) % 0.45/0.66 (define @t331 () (=> @t330 @t328)) % 0.45/0.66 (define @t332 () (forall @t9 (= @t207 @t272))) % 0.45/0.66 (define @t333 () (forall @t12 (or (not @t332) @t3))) % 0.45/0.66 (define @t334 () (=> @t333 @t331)) % 0.45/0.66 (define @t335 () (=> @t206 (=> true @t202))) % 0.45/0.66 (define @t336 () (=> @t208 @t335)) % 0.45/0.66 (define @t337 () (=> @t211 @t336)) % 0.45/0.66 (define @t338 () (=> @t218 @t337)) % 0.45/0.66 (define @t339 () (=> @t271 @t338)) % 0.45/0.66 (define @t340 () (=> @t282 @t339)) % 0.45/0.66 (define @t341 () (=> @t295 @t340)) % 0.45/0.66 (define @t342 () (=> @t309 @t341)) % 0.45/0.66 (define @t343 () (=> @t311 @t342)) % 0.45/0.66 (define @t344 () (=> @t48 @t343)) % 0.45/0.66 (define @t345 () (=> @t318 @t344)) % 0.45/0.66 (define @t346 () (=> @t323 @t345)) % 0.45/0.66 (define @t347 () (=> @t327 @t346)) % 0.45/0.66 (define @t348 () (=> @t330 @t347)) % 0.45/0.66 (define @t349 () (=> @t333 @t348)) % 0.45/0.66 (define @t350 () (forall @t68 (or @t214 @t127))) % 0.45/0.66 (define @t351 () (not @t350)) % 0.45/0.66 (define @t352 () (forall @t9 (or @t209 @t351))) % 0.45/0.66 (define @t353 () (not @t352)) % 0.45/0.66 (define @t354 () (not @t353)) % 0.45/0.66 (define @t355 () (not @t142)) % 0.45/0.66 (define @t356 () (or @t355 @t351)) % 0.45/0.66 (define @t357 () (and @t142 @t350)) % 0.45/0.66 (define @t358 () (forall @t9 (not @t357))) % 0.45/0.66 (define @t359 () (not @t358)) % 0.45/0.66 (define @t360 () (not @t151)) % 0.45/0.66 (define @t361 () (or @t360 @t127)) % 0.45/0.66 (define @t362 () (_ @t143 @t19)) % 0.45/0.66 (define @t363 () (not @t362)) % 0.45/0.66 (define @t364 () (or @t363 @t127)) % 0.45/0.66 (define @t365 () (forall @t68 @t364)) % 0.45/0.66 (define @t366 () (not @t365)) % 0.45/0.66 (define @t367 () (_ @t143 @t4)) % 0.45/0.66 (define @t368 () (not @t367)) % 0.45/0.66 (define @t369 () (or @t368 @t366)) % 0.45/0.66 (define @t370 () (forall @t9 @t369)) % 0.45/0.66 (define @t371 () (not @t370)) % 0.45/0.66 (define @t372 () (lambda @t148 @t353)) % 0.45/0.66 (define @t373 () (_ @t372 @t143)) % 0.45/0.66 (define @t374 () (=> @t373 @t166)) % 0.45/0.66 (define @t375 () (forall @t148 @t374)) % 0.45/0.66 (define @t376 () (=> tptp.exuE1 @t202)) % 0.45/0.66 (define @t377 () (lambda @t68 @t213)) % 0.45/0.66 (define @t378 () (tptp.dsetconstr @t2 @t377)) % 0.45/0.66 (define @t379 () (tptp.in @t4 @t378)) % 0.45/0.66 (define @t380 () (not @t379)) % 0.45/0.66 (define @t381 () (or @t380 @t203)) % 0.45/0.66 (define @t382 () (not @t155)) % 0.45/0.66 (define @t383 () (or @t382 @t142)) % 0.45/0.66 (define @t384 () (=> tptp.dsetconstrER @t376)) % 0.45/0.66 (define @t385 () (or @t380 @t207)) % 0.45/0.66 (define @t386 () (or @t382 @t7)) % 0.45/0.66 (define @t387 () (=> tptp.dsetconstrEL @t384)) % 0.45/0.66 (define @t388 () (or @t210 @t209 @t379)) % 0.45/0.66 (define @t389 () (not @t7)) % 0.45/0.66 (define @t390 () (or @t389 @t355 @t155)) % 0.45/0.66 (define @t391 () (=> tptp.dsetconstrI @t387)) % 0.45/0.66 (define @t392 () (or @t214 (= @t212 @t19))) % 0.45/0.66 (define @t393 () (forall @t68 @t392)) % 0.45/0.66 (define @t394 () (not @t393)) % 0.45/0.66 (define @t395 () (or @t216 @t215 @t394)) % 0.45/0.66 (define @t396 () (or @t215 @t394)) % 0.45/0.66 (define @t397 () (or @t396 @t216)) % 0.45/0.66 (define @t398 () (forall @t217 @t397)) % 0.45/0.66 (define @t399 () (@list @t212)) % 0.45/0.66 (define @t400 () (forall @t399 @t397)) % 0.45/0.66 (define @t401 () (forall @t399 @t396)) % 0.45/0.66 (define @t402 () (@list @t4)) % 0.45/0.66 (define @t403 () (or @t401 @t216)) % 0.45/0.66 (define @t404 () (lambda @t9 @t203)) % 0.45/0.66 (define @t405 () (tptp.descr @t404)) % 0.45/0.66 (define @t406 () (_ @t141 @t405)) % 0.45/0.66 (define @t407 () (or @t352 @t406)) % 0.45/0.66 (define @t408 () (or @t352 @t145)) % 0.45/0.66 (define @t409 () (=> @t373 @t145)) % 0.45/0.66 (define @t410 () (forall @t148 @t409)) % 0.45/0.66 (define @t411 () (=> tptp.descrp @t391)) % 0.45/0.66 (define @t412 () (and @t268 @t261 @t255 @t243)) % 0.45/0.66 (define @t413 () (forall @t39 (not @t412))) % 0.45/0.66 (define @t414 () (not @t413)) % 0.45/0.66 (define @t415 () (@list @t238)) % 0.45/0.66 (define @t416 () (forall @t415 @t242)) % 0.45/0.66 (define @t417 () (forall @t415 @t239)) % 0.45/0.66 (define @t418 () (or @t241 @t417 @t237)) % 0.45/0.66 (define @t419 () (forall @t9 @t234)) % 0.45/0.66 (define @t420 () (or @t241 @t419 @t237)) % 0.45/0.66 (define @t421 () (not @t419)) % 0.45/0.66 (define @t422 () (and @t240 @t421)) % 0.45/0.66 (define @t423 () (not @t107)) % 0.45/0.66 (define @t424 () (not @t108)) % 0.45/0.66 (define @t425 () (or @t424 @t423 @t232 @t228)) % 0.45/0.66 (define @t426 () (and @t108 @t107 @t231 @t227)) % 0.45/0.66 (define @t427 () (forall @t110 (not @t426))) % 0.45/0.66 (define @t428 () (not @t427)) % 0.45/0.66 (define @t429 () (or @t221 @t220)) % 0.45/0.66 (define @t430 () (or @t224 @t429 @t222)) % 0.45/0.66 (define @t431 () (forall @t226 @t430)) % 0.45/0.66 (define @t432 () (@list @t219)) % 0.45/0.66 (define @t433 () (forall @t432 @t430)) % 0.45/0.66 (define @t434 () (forall @t432 @t429)) % 0.45/0.66 (define @t435 () (or @t224 @t434 @t222)) % 0.45/0.66 (define @t436 () (tptp.in @t19 @t91)) % 0.45/0.66 (define @t437 () (forall @t68 (or (not @t436) @t230))) % 0.45/0.66 (define @t438 () (not @t98)) % 0.45/0.66 (define @t439 () (or @t438 @t437 @t92)) % 0.45/0.66 (define @t440 () (or @t437 @t92)) % 0.45/0.66 (define @t441 () (not @t95)) % 0.45/0.66 (define @t442 () (or @t441 @t94)) % 0.45/0.66 (define @t443 () (not @t103)) % 0.45/0.66 (define @t444 () (not @t94)) % 0.45/0.66 (define @t445 () (or @t444 @t443)) % 0.45/0.66 (define @t446 () (forall @t68 (not @t104))) % 0.45/0.66 (define @t447 () (not @t446)) % 0.45/0.66 (define @t448 () (forall @t9 @t423)) % 0.45/0.66 (define @t449 () (not @t448)) % 0.45/0.66 (define @t450 () (or @t423 @t7)) % 0.45/0.66 (define @t451 () (or @t247 @t246)) % 0.45/0.66 (define @t452 () (or @t250 @t249)) % 0.45/0.66 (define @t453 () (or @t252 @t236 @t452 @t451)) % 0.45/0.66 (define @t454 () (forall @t254 @t453)) % 0.45/0.66 (define @t455 () (forall (@list @t248 @t245) @t453)) % 0.45/0.66 (define @t456 () (forall (@list @t245) @t451)) % 0.45/0.66 (define @t457 () (forall (@list @t248) @t452)) % 0.45/0.66 (define @t458 () (or @t252 @t236 @t457 @t456)) % 0.45/0.66 (define @t459 () (tptp.in @t4 @t93)) % 0.45/0.66 (define @t460 () (forall @t9 (or (not @t459) @t233))) % 0.45/0.66 (define @t461 () (forall @t9 (or @t234 @t459))) % 0.45/0.66 (define @t462 () (not @t122)) % 0.45/0.66 (define @t463 () (or @t462 @t424 @t461 @t460)) % 0.45/0.66 (define @t464 () (or @t461 @t460)) % 0.45/0.66 (define @t465 () (not @t118)) % 0.45/0.66 (define @t466 () (or @t465 @t107)) % 0.45/0.66 (define @t467 () (or @t423 @t118)) % 0.45/0.66 (define @t468 () (not @t21)) % 0.45/0.66 (define @t469 () (or @t389 @t468 @t258 @t127)) % 0.45/0.66 (define @t470 () (=> @t257 @t127)) % 0.45/0.66 (define @t471 () (or @t462 @t128)) % 0.45/0.66 (define @t472 () (or @t265 @t264)) % 0.45/0.66 (define @t473 () (or @t252 @t472)) % 0.45/0.66 (define @t474 () (forall @t267 @t473)) % 0.45/0.66 (define @t475 () (@list @t263)) % 0.45/0.66 (define @t476 () (forall @t475 @t473)) % 0.45/0.66 (define @t477 () (forall @t475 @t472)) % 0.45/0.66 (define @t478 () (or @t252 @t477)) % 0.45/0.66 (define @t479 () (or @t462 @t240)) % 0.45/0.66 (define @t480 () (=> tptp.wellorderingAx @t411)) % 0.45/0.66 (define @t481 () (@list @t279)) % 0.45/0.66 (define @t482 () (forall @t481 @t281)) % 0.45/0.66 (define @t483 () (forall @t481 @t280)) % 0.45/0.66 (define @t484 () (or @t483 @t278)) % 0.45/0.66 (define @t485 () (forall @t9 @t210)) % 0.45/0.66 (define @t486 () (not @t485)) % 0.45/0.66 (define @t487 () (not @t37)) % 0.45/0.66 (define @t488 () (or @t487 @t275)) % 0.45/0.66 (define @t489 () (and @t37 @t274)) % 0.45/0.66 (define @t490 () (forall @t39 (not @t489))) % 0.45/0.66 (define @t491 () (not @t490)) % 0.45/0.66 (define @t492 () (not @t6)) % 0.45/0.66 (define @t493 () (or @t492 @t389)) % 0.45/0.66 (define @t494 () (forall @t9 (not @t82))) % 0.45/0.66 (define @t495 () (not @t494)) % 0.45/0.66 (define @t496 () (forall @t9 @t389)) % 0.45/0.66 (define @t497 () (not @t496)) % 0.45/0.66 (define @t498 () (=> tptp.foundationAx @t480)) % 0.45/0.66 (define @t499 () (= @t6 @t284)) % 0.45/0.66 (define @t500 () (not @t66)) % 0.45/0.66 (define @t501 () (or @t468 @t500)) % 0.45/0.66 (define @t502 () (forall @t68 (not @t67))) % 0.45/0.66 (define @t503 () (not @t502)) % 0.45/0.66 (define @t504 () (or @t389 @t293)) % 0.45/0.66 (define @t505 () (_ @t73 @t287)) % 0.45/0.66 (define @t506 () (not @t505)) % 0.45/0.66 (define @t507 () (or @t506 @t290)) % 0.45/0.66 (define @t508 () (not @t74)) % 0.45/0.66 (define @t509 () (or @t508 @t288)) % 0.45/0.66 (define @t510 () (_ @t75 @t19)) % 0.45/0.66 (define @t511 () (not @t510)) % 0.45/0.66 (define @t512 () (or @t511 @t288)) % 0.45/0.66 (define @t513 () (forall @t68 @t512)) % 0.45/0.66 (define @t514 () (not @t513)) % 0.45/0.66 (define @t515 () (_ @t75 @t287)) % 0.45/0.66 (define @t516 () (not @t515)) % 0.45/0.66 (define @t517 () (or @t516 @t514)) % 0.45/0.66 (define @t518 () (forall @t292 @t517)) % 0.45/0.66 (define @t519 () (not @t518)) % 0.45/0.66 (define @t520 () (not (_ @t141 @t287))) % 0.45/0.66 (define @t521 () (or @t214 (= @t287 @t19))) % 0.45/0.66 (define @t522 () (forall @t68 @t521)) % 0.45/0.66 (define @t523 () (not @t522)) % 0.45/0.66 (define @t524 () (or @t520 @t523)) % 0.45/0.66 (define @t525 () (forall @t292 @t524)) % 0.45/0.66 (define @t526 () (not @t525)) % 0.45/0.66 (define @t527 () (=> @t7 (_ @t372 @t75))) % 0.45/0.66 (define @t528 () (forall @t9 @t527)) % 0.45/0.66 (define @t529 () (=> @t528 @t72)) % 0.45/0.66 (define @t530 () (forall @t79 @t529)) % 0.45/0.66 (define @t531 () (=> tptp.replAx @t498)) % 0.45/0.66 (define @t532 () (or @t298 @t297)) % 0.45/0.66 (define @t533 () (or @t306 @t304 @t532)) % 0.45/0.66 (define @t534 () (forall @t308 @t533)) % 0.45/0.66 (define @t535 () (@list @t296)) % 0.45/0.66 (define @t536 () (forall @t535 @t533)) % 0.45/0.66 (define @t537 () (forall @t535 @t532)) % 0.45/0.66 (define @t538 () (or @t306 @t304 @t537)) % 0.45/0.66 (define @t539 () (forall @t9 (or @t302 @t207))) % 0.45/0.66 (define @t540 () (not @t59)) % 0.45/0.66 (define @t541 () (or @t540 @t304 @t539)) % 0.45/0.66 (define @t542 () (and @t59 @t303)) % 0.45/0.66 (define @t543 () (not @t52)) % 0.45/0.66 (define @t544 () (or @t543 @t7)) % 0.45/0.66 (define @t545 () (_ tptp.in @t299)) % 0.45/0.66 (define @t546 () (or @t543 @t389 @t56)) % 0.45/0.66 (define @t547 () (=> tptp.omegaIndAx @t531)) % 0.45/0.66 (define @t548 () (or @t543 @t51)) % 0.45/0.66 (define @t549 () (=> tptp.omegaSAx @t547)) % 0.45/0.66 (define @t550 () (=> tptp.omega0Ax @t549)) % 0.45/0.66 (define @t551 () (= @t42 @t317)) % 0.45/0.66 (define @t552 () (or @t492 @t487)) % 0.45/0.66 (define @t553 () (forall @t39 (not @t38))) % 0.45/0.66 (define @t554 () (not @t553)) % 0.45/0.66 (define @t555 () (=> tptp.setunionAx @t550)) % 0.45/0.66 (define @t556 () (= @t33 @t322)) % 0.45/0.66 (define @t557 () (or @t492 @t7)) % 0.45/0.66 (define @t558 () (=> tptp.powersetAx @t555)) % 0.45/0.66 (define @t559 () (or @t127 @t21)) % 0.45/0.66 (define @t560 () (= @t25 @t559)) % 0.45/0.66 (define @t561 () (=> tptp.setadjoinAx @t558)) % 0.45/0.66 (define @t562 () (=> tptp.emptysetAx @t561)) % 0.45/0.66 (define @t563 () (=> tptp.setextAx @t562)) % 0.45/0.66 (define @t564 () (@var "BOUND_VARIABLE_8231" $$unsorted)) % 0.45/0.66 (define @t565 () (@list @t564)) % 0.45/0.66 (define @t566 () (lambda @t565 false)) % 0.45/0.66 (define @t567 () (@list @t564)) % 0.45/0.66 (define @t568 () (tptp.dsetconstr @t200 @t566)) % 0.45/0.66 (define @t569 () (tptp.in @t4 @t568)) % 0.45/0.66 (define @t570 () (not @t569)) % 0.45/0.66 (define @t571 () (or @t570 false)) % 0.45/0.66 (define @t572 () (lambda @t565 @t170)) % 0.45/0.66 (define @t573 () (tptp.dsetconstr @t200 @t572)) % 0.45/0.66 (define @t574 () (tptp.in @t4 @t573)) % 0.45/0.66 (define @t575 () (not @t574)) % 0.45/0.66 (define @t576 () (or @t170 @t575 @t170)) % 0.45/0.66 (define @t577 () (or @t575 @t170)) % 0.45/0.66 (define @t578 () (forall @t196 @t577)) % 0.45/0.66 (define @t579 () (forall @t9 @t578)) % 0.45/0.66 (define @t580 () (forall (@list @t4 @t170) @t577)) % 0.45/0.66 (define @t581 () (_ @t194 @t572)) % 0.45/0.66 (define @t582 () (_ @t5 @t581)) % 0.45/0.66 (define @t583 () (not @t582)) % 0.45/0.66 (define @t584 () (or @t583 @t170)) % 0.45/0.66 (define @t585 () (=> (_ @t5 @t195) @t170)) % 0.45/0.66 (define @t586 () (_ @t197 @t170)) % 0.45/0.66 (define @t587 () (=> (_ @t5 @t586) @t170)) % 0.45/0.66 (define @t588 () (forall @t172 @t587)) % 0.45/0.66 (define @t589 () (=> tptp.exuE1 @t588)) % 0.45/0.66 (define @t590 () (=> tptp.dsetconstrER @t589)) % 0.45/0.66 (define @t591 () (=> tptp.dsetconstrEL @t590)) % 0.45/0.66 (define @t592 () (=> tptp.dsetconstrI @t591)) % 0.45/0.66 (define @t593 () (=> tptp.descrp @t592)) % 0.45/0.66 (define @t594 () (=> tptp.wellorderingAx @t593)) % 0.45/0.66 (define @t595 () (=> tptp.foundationAx @t594)) % 0.45/0.66 (define @t596 () (=> tptp.replAx @t595)) % 0.45/0.66 (define @t597 () (=> tptp.omegaIndAx @t596)) % 0.45/0.66 (define @t598 () (=> tptp.omegaSAx @t597)) % 0.45/0.66 (define @t599 () (=> tptp.omega0Ax @t598)) % 0.45/0.66 (define @t600 () (=> tptp.setunionAx @t599)) % 0.45/0.66 (define @t601 () (=> tptp.powersetAx @t600)) % 0.45/0.66 (define @t602 () (=> tptp.setadjoinAx @t601)) % 0.45/0.66 (define @t603 () (=> tptp.emptysetAx @t602)) % 0.45/0.66 (define @t604 () (=> tptp.setextAx @t603)) % 0.45/0.66 (define @t605 () (@purify @t199)) % 0.45/0.66 (define @t606 () (@quantifiers_skolemize @t202 0)) % 0.45/0.66 (define @t607 () (tptp.in @t606 (tptp.dsetconstr @t200 @t605))) % 0.45/0.66 (define @t608 () (not @t202)) % 0.45/0.66 (define @t609 () (tptp.in @t606 @t201)) % 0.45/0.66 (define @t610 () (not (not @t609))) % 0.45/0.66 (define @t611 () (not @t607)) % 0.45/0.66 (define @t612 () (_ @t199 @t606)) % 0.45/0.66 (define @t613 () (_ @t605 @t606)) % 0.45/0.66 (define @t614 () (or @t611 @t613)) % 0.45/0.66 (assume 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:rule cong :premises (@p58 @p57) :args (@t344)) % 0.45/0.66 (step @p60 :rule cong :premises (@p28 @p59) :args (@t345)) % 0.45/0.66 (step @p61 :rule cong :premises (@p30 @p60) :args (@t346)) % 0.45/0.66 (step @p62 :rule cong :premises (@p32 @p61) :args (@t347)) % 0.45/0.66 (step @p63 :rule cong :premises (@p34 @p62) :args (@t348)) % 0.45/0.66 (step @p64 :rule cong :premises (@p36 @p63) :args (@t349)) % 0.45/0.66 (step @p65 :rule cong :premises (@p64) :args ((not @t349))) % 0.45/0.66 (step @p66 :rule refl :args (@t202)) % 0.45/0.66 (step @p67 :rule bool-eq-true :args (tptp.exuE1)) % 0.45/0.66 (step @p68 :rule symm :premises (@p67)) % 0.45/0.66 (step @p69 :rule quant-unused-vars :args ((= (forall @t148 true) true))) % 0.45/0.66 (step @p70 :rule bool-or-taut :args (false @t352 false false)) % 0.45/0.66 (step @p71 :rule refl :args (@t353)) % 0.45/0.66 (step @p72 :rule bool-double-not-elim :args (@t352)) % 0.45/0.66 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t354 @t353))) % 0.45/0.66 (step @p74 :rule bool-impl-elim :args (@t353 @t353)) % 0.45/0.66 (step @p75 :rule trans :premises (@p74 @p73)) % 0.45/0.66 (step @p76 :rule trans :premises (@p75 @p70)) % 0.45/0.66 (step @p77 :rule cong :premises (@p76) :args ((forall @t148 (=> @t353 @t353)))) % 0.45/0.66 (step @p78 :rule trans :premises (@p77 @p69)) % 0.45/0.66 (step @p79 :rule refl :args (@t351)) % 0.45/0.66 (step @p80 :rule refl :args (@t203)) % 0.45/0.66 (step @p81 :rule refl :args (@t142)) % 0.45/0.66 (step @p82 :rule cong :premises (@p81 @p80) :args ((= @t142 @t203))) % 0.45/0.66 (step @p83 :rule symm :premises (@p82)) % 0.45/0.66 (step @p84 :rule eq_resolve :premises (@p81 @p83)) % 0.45/0.66 (step @p85 :rule cong :premises (@p84) :args (@t355)) % 0.45/0.66 (step @p86 :rule nary_cong :premises (@p85 @p79) :args (@t356)) % 0.45/0.66 (step @p87 :rule cong :premises (@p86) :args ((forall @t9 @t356))) % 0.45/0.66 (step @p88 :rule bool-and-de-morgan :args (@t142 @t350 true)) % 0.45/0.66 (step @p89 :rule cong 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0.45/0.66 (step @p105 :rule trans :premises (@p104 @p102)) % 0.45/0.66 (step @p106 :rule refl :args (@t142)) % 0.45/0.66 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t165)) % 0.45/0.66 (step @p108 :rule cong :premises (@p107) :args (@t166)) % 0.45/0.66 (step @p109 :rule trans :premises (@p108 @p93)) % 0.45/0.66 (step @p110 :rule refl :args (@t127)) % 0.45/0.66 (step @p111 :rule beta-reduce :args ((= @t362 @t151))) % 0.45/0.66 (step @p112 :rule cong :premises (@p111) :args (@t363)) % 0.45/0.66 (step @p113 :rule nary_cong :premises (@p112 @p110) :args (@t364)) % 0.45/0.66 (step @p114 :rule cong :premises (@p113) :args (@t365)) % 0.45/0.66 (step @p115 :rule trans :premises (@p114 @p102)) % 0.45/0.66 (step @p116 :rule cong :premises (@p115) :args (@t366)) % 0.45/0.66 (step @p117 :rule beta-reduce :args ((= @t367 @t142))) % 0.45/0.66 (step @p118 :rule cong :premises (@p117) :args (@t368)) % 0.45/0.66 (step @p119 :rule nary_cong :premises (@p118 @p116) :args (@t369)) % 0.45/0.66 (step @p120 :rule cong :premises (@p119) :args (@t370)) % 0.45/0.66 (step @p121 :rule trans :premises (@p120 @p87)) % 0.45/0.66 (step @p122 :rule cong :premises (@p121) :args (@t371)) % 0.45/0.66 (step @p123 :rule beta-reduce :args ((= @t373 @t371))) % 0.45/0.66 (step @p124 :rule trans :premises (@p123 @p122)) % 0.45/0.66 (step @p125 :rule cong :premises (@p124 @p109) :args (@t374)) % 0.45/0.66 (step @p126 :rule cong :premises (@p125) :args (@t375)) % 0.45/0.66 (step @p127 :rule trans :premises (@p126 @p78)) % 0.45/0.66 (step @p128 :rule refl :args (tptp.exuE1)) % 0.45/0.66 (step @p129 :rule cong :premises (@p128 @p127) :args ((= tptp.exuE1 @t375))) % 0.45/0.66 (step @p130 :rule trans :premises (@p129 @p67)) % 0.45/0.66 (step @p131 :rule refl :args (@t166)) % 0.45/0.66 (step @p132 :rule refl :args (@t143)) % 0.45/0.66 (step @p133 :rule cong :premises (@p109) :args (@t191)) % 0.45/0.66 (step @p134 :rule trans :premises (@p19 @p133)) % 0.45/0.66 (step @p135 :rule ho_cong 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:args (@t381)) % 0.45/0.66 (step @p151 :rule cong :premises (@p150) :args ((forall @t157 @t381))) % 0.45/0.66 (step @p152 :rule refl :args ((tptp.in @t4 @t154))) % 0.45/0.66 (step @p153 :rule refl :args ((tptp.dsetconstr @t2 @t152))) % 0.45/0.66 (step @p154 :rule cong :premises (@p95) :args (@t377)) % 0.45/0.66 (step @p155 :rule refl :args (@t2)) % 0.45/0.66 (step @p156 :rule cong :premises (@p155 @p154) :args (@t378)) % 0.45/0.66 (step @p157 :rule trans :premises (@p156 @p153)) % 0.45/0.66 (step @p158 :rule refl :args (@t4)) % 0.45/0.66 (step @p159 :rule cong :premises (@p158 @p157) :args (@t379)) % 0.45/0.66 (step @p160 :rule trans :premises (@p159 @p152)) % 0.45/0.66 (step @p161 :rule refl :args (@t5)) % 0.45/0.66 (step @p162 :rule ho_cong :premises (@p161 @p157)) % 0.45/0.66 (step @p163 :rule cong :premises (@p162 @p160) :args ((= (_ @t5 @t378) @t379))) % 0.45/0.66 (step @p164 :rule symm :premises (@p163)) % 0.45/0.66 (step @p165 :rule refl :args (@t155)) % 0.45/0.66 (step @p166 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@p1121)) % 0.45/0.66 (assume-push @p1154 @t608) % 0.45/0.66 (step @p1126 :rule skolemize :premises (@p1105)) % 0.45/0.66 (step-pop @p1155 :rule scope :premises (@p1126)) % 0.45/0.66 (step @p1127 :rule process_scope :premises (@p1155) :args (@t610)) % 0.45/0.66 (step @p1129 :rule eq_resolve :premises (@p1127 @p1124)) % 0.45/0.66 (step @p1130 :rule implies_elim :premises (@p1129)) % 0.45/0.66 (step @p1131 :rule eq_resolve :premises (@p1130 @p1108)) % 0.45/0.66 (step @p1132 :rule chain_m_resolution :premises (@p1131 @p1105) :args (@t607 (@list true) (@list @t202))) % 0.45/0.66 (step @p1133 :rule aci_norm :args ((= (or @t611 false) @t611))) % 0.45/0.66 (step @p1134 :rule evaluate :args ((not false))) % 0.45/0.66 (step @p1135 :rule beta-reduce :args ((= @t612 false))) % 0.45/0.66 (step @p1136 :rule cong :premises (@p1135) :args ((not @t612))) % 0.45/0.66 (step @p1137 :rule trans :premises (@p1136 @p1134)) % 0.45/0.66 (step @p1138 :rule ho_cong :premises (@p1113 @p1118)) % 0.45/0.66 (step @p1139 :rule cong :premises (@p1138) :args ((not @t613))) % 0.45/0.66 (step @p1140 :rule bool-eq-false :args (@t613)) % 0.45/0.66 (step @p1141 :rule trans :premises (@p1140 @p1139 @p1137)) % 0.45/0.66 (step @p1142 :rule true_elim :premises (@p1141)) % 0.45/0.66 (step @p1143 :rule refl :args (@t611)) % 0.45/0.66 (step @p1144 :rule nary_cong :premises (@p1143 @p1142) :args (@t614)) % 0.45/0.66 (step @p1145 :rule trans :premises (@p1144 @p1133)) % 0.45/0.66 (step @p1146 :rule cong :premises (@p40 @p1145) :args ((=> @t206 @t614))) % 0.45/0.66 (assume-push @p1156 @t206) % 0.45/0.66 (step @p1148 :rule instantiate :premises (@p1104) :args ((@list @t200 @t605 @t606))) % 0.45/0.66 (step-pop @p1157 :rule scope :premises (@p1148)) % 0.45/0.66 (step @p1149 :rule process_scope :premises (@p1157) :args (@t614)) % 0.45/0.66 (step @p1151 :rule eq_resolve :premises (@p1149 @p1146)) % 0.45/0.66 (step @p1152 :rule implies_elim :premises (@p1151)) % 0.45/0.66 (step @p1153 false :rule chain_m_resolution :premises (@p1152 @p1132 @p1104) :args (false (@list false false) (@list @t607 @t206))) % 0.45/0.66 ) % 0.45/0.66 % SZS output end Proof % 0.45/0.66 % cvc5 exiting %------------------------------------------------------------------------------