%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU508^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:51:59 AM UTC 2026 % Result : Theorem 0.36s 0.74s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU508^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n006.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 17:39:49 EDT 2026 % 0.20/0.35 % CPUTime : % 0.27/0.52 %----Proving TH0 % 0.36/0.74 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.74 % SZS status Theorem % 0.36/0.74 % SZS output start Proof % 0.36/0.74 ( % 0.36/0.74 (declare-sort $$unsorted 0) % 0.36/0.74 (declare-const tptp.emptyset $$unsorted) % 0.36/0.74 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.36/0.74 (declare-const tptp.noeltsimpempty Bool) % 0.36/0.74 (declare-const tptp.emptyI Bool) % 0.36/0.74 (declare-const tptp.omegaIndAx Bool) % 0.36/0.74 (declare-const tptp.omega0Ax Bool) % 0.36/0.74 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.powersetAx Bool) % 0.36/0.74 (declare-const tptp.omegaSAx Bool) % 0.36/0.74 (declare-const tptp.setext Bool) % 0.36/0.74 (declare-const tptp.setadjoinAx Bool) % 0.36/0.74 (declare-const tptp.dsetconstrER Bool) % 0.36/0.74 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.notinemptyset Bool) % 0.36/0.74 (declare-const tptp.foundationAx Bool) % 0.36/0.74 (declare-const tptp.setextAx Bool) % 0.36/0.74 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.emptysetAx Bool) % 0.36/0.74 (declare-const tptp.dsetconstrEL Bool) % 0.36/0.74 (declare-const tptp.replAx Bool) % 0.36/0.74 (declare-const tptp.emptysetimpfalse Bool) % 0.36/0.74 (declare-const tptp.wellorderingAx Bool) % 0.36/0.74 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.36/0.74 (declare-const tptp.exuE1 Bool) % 0.36/0.74 (declare-const tptp.descrp Bool) % 0.36/0.74 (declare-const tptp.dsetconstrI Bool) % 0.36/0.74 (declare-const tptp.omega $$unsorted) % 0.36/0.74 (declare-const tptp.exuE3e Bool) % 0.36/0.74 (declare-const tptp.prop2setE Bool) % 0.36/0.74 (declare-const tptp.setunionAx Bool) % 0.36/0.74 (declare-const tptp.emptysetE Bool) % 0.36/0.74 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.36/0.74 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.36/0.74 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.74 (define @t2 () (@var "A" $$unsorted)) % 0.36/0.74 (define @t3 () (= @t2 @t1)) % 0.36/0.74 (define @t4 () (@var "Xx" $$unsorted)) % 0.36/0.74 (define @t5 () (_ tptp.in @t4)) % 0.36/0.74 (define @t6 () (_ @t5 @t1)) % 0.36/0.74 (define @t7 () (_ @t5 @t2)) % 0.36/0.74 (define @t8 () (= @t7 @t6)) % 0.36/0.74 (define @t9 () (@list @t4)) % 0.36/0.74 (define @t10 () (forall @t9 @t8)) % 0.36/0.74 (define @t11 () (=> @t10 @t3)) % 0.36/0.74 (define @t12 () (@list @t2 @t1)) % 0.36/0.74 (define @t13 () (forall @t12 @t11)) % 0.36/0.74 (define @t14 () (= tptp.setextAx @t13)) % 0.36/0.74 (define @t15 () (_ @t5 tptp.emptyset)) % 0.36/0.74 (define @t16 () (not @t15)) % 0.36/0.74 (define @t17 () (forall @t9 @t16)) % 0.36/0.74 (define @t18 () (= tptp.emptysetAx @t17)) % 0.36/0.74 (define @t19 () (@var "Xy" $$unsorted)) % 0.36/0.74 (define @t20 () (_ tptp.in @t19)) % 0.36/0.74 (define @t21 () (_ @t20 @t2)) % 0.36/0.74 (define @t22 () (or (= @t19 @t4) @t21)) % 0.36/0.74 (define @t23 () (_ tptp.setadjoin @t4)) % 0.36/0.74 (define @t24 () (_ @t23 @t2)) % 0.36/0.74 (define @t25 () (_ @t20 @t24)) % 0.36/0.74 (define @t26 () (= @t25 @t22)) % 0.36/0.74 (define @t27 () (@list @t4 @t2 @t19)) % 0.36/0.74 (define @t28 () (forall @t27 @t26)) % 0.36/0.74 (define @t29 () (= tptp.setadjoinAx @t28)) % 0.36/0.74 (define @t30 () (forall @t9 (=> @t6 @t7))) % 0.36/0.74 (define @t31 () (_ tptp.powerset @t2)) % 0.36/0.74 (define @t32 () (_ tptp.in @t1)) % 0.36/0.74 (define @t33 () (_ @t32 @t31)) % 0.36/0.74 (define @t34 () (= @t33 @t30)) % 0.36/0.74 (define @t35 () (forall @t12 @t34)) % 0.36/0.74 (define @t36 () (= tptp.powersetAx @t35)) % 0.36/0.74 (define @t37 () (_ @t32 @t2)) % 0.36/0.74 (define @t38 () (and @t6 @t37)) % 0.36/0.74 (define @t39 () (@list @t1)) % 0.36/0.74 (define @t40 () (exists @t39 @t38)) % 0.36/0.74 (define @t41 () (_ tptp.setunion @t2)) % 0.36/0.74 (define @t42 () (_ @t5 @t41)) % 0.36/0.74 (define @t43 () (= @t42 @t40)) % 0.36/0.74 (define @t44 () (@list @t2 @t4)) % 0.36/0.74 (define @t45 () (forall @t44 @t43)) % 0.36/0.74 (define @t46 () (= tptp.setunionAx @t45)) % 0.36/0.74 (define @t47 () (_ tptp.in tptp.emptyset)) % 0.36/0.74 (define @t48 () (_ @t47 tptp.omega)) % 0.36/0.74 (define @t49 () (_ @t23 @t4)) % 0.36/0.74 (define @t50 () (_ tptp.in @t49)) % 0.36/0.74 (define @t51 () (_ @t50 tptp.omega)) % 0.36/0.74 (define @t52 () (_ @t5 tptp.omega)) % 0.36/0.74 (define @t53 () (forall @t9 (=> @t52 @t51))) % 0.36/0.74 (define @t54 () (= tptp.omegaSAx @t53)) % 0.36/0.74 (define @t55 () (forall @t9 (=> @t52 @t7))) % 0.36/0.74 (define @t56 () (_ @t50 @t2)) % 0.36/0.74 (define @t57 () (and @t52 @t7)) % 0.36/0.74 (define @t58 () (forall @t9 (=> @t57 @t56))) % 0.36/0.74 (define @t59 () (_ @t47 @t2)) % 0.36/0.74 (define @t60 () (and @t59 @t58)) % 0.36/0.74 (define @t61 () (=> @t60 @t55)) % 0.36/0.74 (define @t62 () (@list @t2)) % 0.36/0.74 (define @t63 () (forall @t62 @t61)) % 0.36/0.74 (define @t64 () (= tptp.omegaIndAx @t63)) % 0.36/0.74 (define @t65 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.36/0.74 (define @t66 () (_ (_ @t65 @t19) @t4)) % 0.36/0.74 (define @t67 () (and @t21 @t66)) % 0.36/0.74 (define @t68 () (@list @t19)) % 0.36/0.74 (define @t69 () (exists @t68 @t67)) % 0.36/0.74 (define @t70 () (= @t6 @t69)) % 0.36/0.74 (define @t71 () (forall @t9 @t70)) % 0.36/0.74 (define @t72 () (exists @t39 @t71)) % 0.36/0.74 (define @t73 () (_ @t65 @t4)) % 0.36/0.74 (define @t74 () (_ @t73 @t19)) % 0.36/0.74 (define @t75 () (lambda @t68 @t74)) % 0.36/0.74 (define @t76 () (=> @t7 (_ tptp.exu @t75))) % 0.36/0.74 (define @t77 () (forall @t9 @t76)) % 0.36/0.74 (define @t78 () (=> @t77 @t72)) % 0.36/0.74 (define @t79 () (@list @t65 @t2)) % 0.36/0.74 (define @t80 () (forall @t79 @t78)) % 0.36/0.74 (define @t81 () (= tptp.replAx @t80)) % 0.36/0.74 (define @t82 () (and @t6 @t7)) % 0.36/0.74 (define @t83 () (exists @t9 @t82)) % 0.36/0.74 (define @t84 () (not @t83)) % 0.36/0.74 (define @t85 () (and @t37 @t84)) % 0.36/0.74 (define @t86 () (exists @t39 @t85)) % 0.36/0.74 (define @t87 () (exists @t9 @t7)) % 0.36/0.74 (define @t88 () (=> @t87 @t86)) % 0.36/0.74 (define @t89 () (forall @t62 @t88)) % 0.36/0.74 (define @t90 () (= tptp.foundationAx @t89)) % 0.36/0.74 (define @t91 () (@var "E" $$unsorted)) % 0.36/0.74 (define @t92 () (_ @t5 @t91)) % 0.36/0.74 (define @t93 () (@var "D" $$unsorted)) % 0.36/0.74 (define @t94 () (_ @t20 @t93)) % 0.36/0.74 (define @t95 () (_ @t20 @t91)) % 0.36/0.74 (define @t96 () (forall @t68 (=> @t95 @t94))) % 0.36/0.74 (define @t97 () (or @t96 @t92)) % 0.36/0.74 (define @t98 () (_ (_ tptp.in @t91) @t1)) % 0.36/0.74 (define @t99 () (=> @t98 @t97)) % 0.36/0.74 (define @t100 () (@list @t91)) % 0.36/0.74 (define @t101 () (forall @t100 @t99)) % 0.36/0.74 (define @t102 () (@var "C" $$unsorted)) % 0.36/0.74 (define @t103 () (_ @t20 @t102)) % 0.36/0.74 (define @t104 () (and @t94 @t103)) % 0.36/0.74 (define @t105 () (exists @t68 @t104)) % 0.36/0.74 (define @t106 () (not @t105)) % 0.36/0.74 (define @t107 () (_ @t5 @t102)) % 0.36/0.74 (define @t108 () (_ (_ tptp.in @t93) @t1)) % 0.36/0.74 (define @t109 () (and @t108 @t107 @t106 @t101)) % 0.36/0.74 (define @t110 () (@list @t93 @t4)) % 0.36/0.74 (define @t111 () (exists @t110 @t109)) % 0.36/0.74 (define @t112 () (exists @t9 @t107)) % 0.36/0.74 (define @t113 () (forall @t9 (=> @t107 @t7))) % 0.36/0.74 (define @t114 () (and @t113 @t112)) % 0.36/0.74 (define @t115 () (=> @t114 @t111)) % 0.36/0.74 (define @t116 () (@list @t102)) % 0.36/0.74 (define @t117 () (forall @t116 @t115)) % 0.36/0.74 (define @t118 () (_ @t5 @t93)) % 0.36/0.74 (define @t119 () (forall @t9 (=> @t118 @t107))) % 0.36/0.74 (define @t120 () (forall @t9 (=> @t107 @t118))) % 0.36/0.74 (define @t121 () (or @t120 @t119)) % 0.36/0.74 (define @t122 () (_ (_ tptp.in @t102) @t1)) % 0.36/0.74 (define @t123 () (and @t122 @t108)) % 0.36/0.74 (define @t124 () (=> @t123 @t121)) % 0.36/0.74 (define @t125 () (@list @t102 @t93)) % 0.36/0.74 (define @t126 () (forall @t125 @t124)) % 0.36/0.74 (define @t127 () (= @t4 @t19)) % 0.36/0.74 (define @t128 () (= @t107 @t103)) % 0.36/0.74 (define @t129 () (forall @t116 (=> @t122 @t128))) % 0.36/0.74 (define @t130 () (=> @t129 @t127)) % 0.36/0.74 (define @t131 () (and @t7 @t21)) % 0.36/0.74 (define @t132 () (=> @t131 @t130)) % 0.36/0.74 (define @t133 () (@list @t4 @t19)) % 0.36/0.74 (define @t134 () (forall @t133 @t132)) % 0.36/0.74 (define @t135 () (=> @t122 @t113)) % 0.36/0.74 (define @t136 () (forall @t116 @t135)) % 0.36/0.74 (define @t137 () (and @t136 @t134 @t126 @t117)) % 0.36/0.74 (define @t138 () (exists @t39 @t137)) % 0.36/0.74 (define @t139 () (forall @t62 @t138)) % 0.36/0.74 (define @t140 () (= tptp.wellorderingAx @t139)) % 0.36/0.74 (define @t141 () (@var "Xphi" (-> $$unsorted Bool))) % 0.36/0.74 (define @t142 () (_ @t141 @t4)) % 0.36/0.74 (define @t143 () (lambda @t9 @t142)) % 0.36/0.74 (define @t144 () (_ tptp.descr @t143)) % 0.36/0.74 (define @t145 () (_ @t141 @t144)) % 0.36/0.74 (define @t146 () (_ tptp.exu @t143)) % 0.36/0.74 (define @t147 () (=> @t146 @t145)) % 0.36/0.74 (define @t148 () (@list @t141)) % 0.36/0.74 (define @t149 () (forall @t148 @t147)) % 0.36/0.74 (define @t150 () (= tptp.descrp @t149)) % 0.36/0.74 (define @t151 () (_ @t141 @t19)) % 0.36/0.74 (define @t152 () (lambda @t68 @t151)) % 0.36/0.74 (define @t153 () (_ tptp.dsetconstr @t2)) % 0.36/0.74 (define @t154 () (_ @t153 @t152)) % 0.36/0.74 (define @t155 () (_ @t5 @t154)) % 0.36/0.74 (define @t156 () (=> @t142 @t155)) % 0.36/0.74 (define @t157 () (@list @t2 @t141 @t4)) % 0.36/0.74 (define @t158 () (forall @t157 (=> @t7 @t156))) % 0.36/0.74 (define @t159 () (= tptp.dsetconstrI @t158)) % 0.36/0.74 (define @t160 () (forall @t157 (=> @t155 @t7))) % 0.36/0.74 (define @t161 () (= tptp.dsetconstrEL @t160)) % 0.36/0.74 (define @t162 () (forall @t157 (=> @t155 @t142))) % 0.36/0.74 (define @t163 () (= tptp.dsetconstrER @t162)) % 0.36/0.74 (define @t164 () (forall @t68 (=> @t151 @t127))) % 0.36/0.74 (define @t165 () (and @t142 @t164)) % 0.36/0.74 (define @t166 () (exists @t9 @t165)) % 0.36/0.74 (define @t167 () (=> @t146 @t166)) % 0.36/0.74 (define @t168 () (forall @t148 @t167)) % 0.36/0.74 (define @t169 () (= tptp.exuE1 @t168)) % 0.36/0.74 (define @t170 () (@var "Xphi" Bool)) % 0.36/0.74 (define @t171 () (=> (_ @t5 (_ tptp.prop2set @t170)) @t170)) % 0.36/0.74 (define @t172 () (@list @t170 @t4)) % 0.36/0.74 (define @t173 () (forall @t172 @t171)) % 0.36/0.74 (define @t174 () (= tptp.prop2setE @t173)) % 0.36/0.74 (define @t175 () (@list @t170)) % 0.36/0.74 (define @t176 () (forall @t175 @t170)) % 0.36/0.74 (define @t177 () (=> @t15 @t176)) % 0.36/0.74 (define @t178 () (forall @t9 @t177)) % 0.36/0.74 (define @t179 () (= tptp.emptysetE @t178)) % 0.36/0.74 (define @t180 () (forall @t9 (=> @t15 false))) % 0.36/0.74 (define @t181 () (= tptp.emptysetimpfalse @t180)) % 0.36/0.74 (define @t182 () (exists @t9 @t142)) % 0.36/0.74 (define @t183 () (=> @t146 @t182)) % 0.36/0.74 (define @t184 () (forall @t148 @t183)) % 0.36/0.74 (define @t185 () (= tptp.exuE3e @t184)) % 0.36/0.74 (define @t186 () (=> @t30 @t3)) % 0.36/0.74 (define @t187 () (forall @t9 (=> @t7 @t6))) % 0.36/0.74 (define @t188 () (=> @t187 @t186)) % 0.36/0.74 (define @t189 () (forall @t12 @t188)) % 0.36/0.74 (define @t190 () (= tptp.setext @t189)) % 0.36/0.74 (define @t191 () (= @t2 tptp.emptyset)) % 0.36/0.74 (define @t192 () (not @t7)) % 0.36/0.74 (define @t193 () (forall @t9 @t192)) % 0.36/0.74 (define @t194 () (=> @t193 @t191)) % 0.36/0.74 (define @t195 () (forall @t62 @t194)) % 0.36/0.74 (define @t196 () (= tptp.emptyI @t195)) % 0.36/0.74 (define @t197 () (=> @t7 (= @t155 @t142))) % 0.36/0.74 (define @t198 () (forall @t157 @t197)) % 0.36/0.74 (define @t199 () (=> tptp.noeltsimpempty @t198)) % 0.36/0.74 (define @t200 () (=> tptp.emptyI @t199)) % 0.36/0.74 (define @t201 () (=> tptp.setext @t200)) % 0.36/0.74 (define @t202 () (=> tptp.exuE3e @t201)) % 0.36/0.74 (define @t203 () (=> tptp.notinemptyset @t202)) % 0.36/0.74 (define @t204 () (=> tptp.emptysetimpfalse @t203)) % 0.36/0.74 (define @t205 () (=> tptp.emptysetE @t204)) % 0.36/0.74 (define @t206 () (=> tptp.prop2setE @t205)) % 0.36/0.74 (define @t207 () (=> tptp.exuE1 @t206)) % 0.36/0.74 (define @t208 () (=> tptp.dsetconstrER @t207)) % 0.36/0.74 (define @t209 () (=> tptp.dsetconstrEL @t208)) % 0.36/0.74 (define @t210 () (=> tptp.dsetconstrI @t209)) % 0.36/0.74 (define @t211 () (=> tptp.descrp @t210)) % 0.36/0.74 (define @t212 () (=> tptp.wellorderingAx @t211)) % 0.36/0.74 (define @t213 () (=> tptp.foundationAx @t212)) % 0.36/0.74 (define @t214 () (=> tptp.replAx @t213)) % 0.36/0.74 (define @t215 () (=> tptp.omegaIndAx @t214)) % 0.36/0.74 (define @t216 () (=> tptp.omegaSAx @t215)) % 0.36/0.74 (define @t217 () (=> tptp.omega0Ax @t216)) % 0.36/0.74 (define @t218 () (=> tptp.setunionAx @t217)) % 0.36/0.74 (define @t219 () (=> tptp.powersetAx @t218)) % 0.36/0.74 (define @t220 () (=> tptp.setadjoinAx @t219)) % 0.36/0.74 (define @t221 () (=> tptp.emptysetAx @t220)) % 0.36/0.74 (define @t222 () (=> tptp.setextAx @t221)) % 0.36/0.74 (define @t223 () (not @t222)) % 0.36/0.74 (define @t224 () (lambda @t148 @t166)) % 0.36/0.74 (define @t225 () (lambda @t9 @t170)) % 0.36/0.74 (define @t226 () (_ tptp.powerset tptp.emptyset)) % 0.36/0.74 (define @t227 () (_ tptp.dsetconstr @t226)) % 0.36/0.74 (define @t228 () (_ @t227 @t225)) % 0.36/0.74 (define @t229 () (lambda @t175 @t228)) % 0.36/0.74 (define @t230 () (tptp.in @t4 (tptp.dsetconstr @t2 @t141))) % 0.36/0.74 (define @t231 () (_ @t141 @t4)) % 0.36/0.74 (define @t232 () (tptp.in @t4 @t2)) % 0.36/0.74 (define @t233 () (not @t232)) % 0.36/0.74 (define @t234 () (forall @t157 (or @t233 (= @t231 @t230)))) % 0.36/0.74 (define @t235 () (forall @t9 @t233)) % 0.36/0.74 (define @t236 () (not @t235)) % 0.36/0.74 (define @t237 () (forall @t62 (or @t236 @t191))) % 0.36/0.74 (define @t238 () (tptp.in @t4 @t1)) % 0.36/0.74 (define @t239 () (not @t238)) % 0.36/0.74 (define @t240 () (forall @t9 (or @t239 @t232))) % 0.36/0.74 (define @t241 () (not @t240)) % 0.36/0.74 (define @t242 () (forall @t9 (or @t233 @t238))) % 0.36/0.74 (define @t243 () (not @t242)) % 0.36/0.74 (define @t244 () (or @t243 @t241 @t3)) % 0.36/0.74 (define @t245 () (@var "BOUND_VARIABLE_8313" $$unsorted)) % 0.36/0.74 (define @t246 () (_ @t141 @t19)) % 0.36/0.74 (define @t247 () (not @t246)) % 0.36/0.74 (define @t248 () (not (_ @t141 @t245))) % 0.36/0.74 (define @t249 () (not @t231)) % 0.36/0.74 (define @t250 () (not (forall @t9 @t249))) % 0.36/0.74 (define @t251 () (@list @t141 @t245)) % 0.36/0.74 (define @t252 () (tptp.in @t4 tptp.emptyset)) % 0.36/0.74 (define @t253 () (forall @t9 (not @t252))) % 0.36/0.74 (define @t254 () (@var "BOUND_VARIABLE_9425" $$unsorted)) % 0.36/0.74 (define @t255 () (lambda (@list @t254) false)) % 0.36/0.74 (define @t256 () (tptp.powerset tptp.emptyset)) % 0.36/0.74 (define @t257 () (=> (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t256 @t255)))) (=> @t253 (=> @t253 (=> @t253 (=> (forall @t251 (or @t250 @t248 (not (forall @t68 (or @t247 (= @t19 @t245)))))) (=> (forall @t12 @t244) (=> @t237 (=> @t237 @t234))))))))) % 0.36/0.74 (define @t258 () (not @t230)) % 0.36/0.74 (define @t259 () (forall @t157 (or @t258 @t231))) % 0.36/0.74 (define @t260 () (forall @t157 (or @t258 @t232))) % 0.36/0.74 (define @t261 () (forall @t157 (or @t233 @t249 @t230))) % 0.36/0.74 (define @t262 () (@var "BOUND_VARIABLE_8184" $$unsorted)) % 0.36/0.74 (define @t263 () (not (_ @t141 @t262))) % 0.36/0.74 (define @t264 () (_ @t141 (tptp.descr @t141))) % 0.36/0.74 (define @t265 () (@list @t141 @t262)) % 0.36/0.74 (define @t266 () (forall @t265 (or @t264 @t263 (not (forall @t68 (or @t247 (= @t19 @t262))))))) % 0.36/0.74 (define @t267 () (@var "BOUND_VARIABLE_8104" $$unsorted)) % 0.36/0.74 (define @t268 () (tptp.in @t267 @t93)) % 0.36/0.74 (define @t269 () (not (tptp.in @t267 @t91))) % 0.36/0.74 (define @t270 () (tptp.in @t4 @t91)) % 0.36/0.74 (define @t271 () (tptp.in @t91 @t1)) % 0.36/0.74 (define @t272 () (not @t271)) % 0.36/0.74 (define @t273 () (or @t272 @t270 @t269 @t268)) % 0.36/0.74 (define @t274 () (@list @t91 @t267)) % 0.36/0.74 (define @t275 () (forall @t274 @t273)) % 0.36/0.74 (define @t276 () (not @t275)) % 0.36/0.74 (define @t277 () (tptp.in @t19 @t102)) % 0.36/0.74 (define @t278 () (tptp.in @t19 @t93)) % 0.36/0.74 (define @t279 () (forall @t68 (or (not @t278) (not @t277)))) % 0.36/0.74 (define @t280 () (not @t279)) % 0.36/0.74 (define @t281 () (tptp.in @t4 @t102)) % 0.36/0.74 (define @t282 () (not @t281)) % 0.36/0.74 (define @t283 () (tptp.in @t93 @t1)) % 0.36/0.74 (define @t284 () (not @t283)) % 0.36/0.74 (define @t285 () (not (forall @t110 (or @t284 @t282 @t280 @t276)))) % 0.36/0.74 (define @t286 () (@var "BOUND_VARIABLE_8133" $$unsorted)) % 0.36/0.74 (define @t287 () (not (tptp.in @t286 @t102))) % 0.36/0.74 (define @t288 () (forall @t9 (or @t282 @t232))) % 0.36/0.74 (define @t289 () (not @t288)) % 0.36/0.74 (define @t290 () (or @t289 @t287 @t285)) % 0.36/0.74 (define @t291 () (forall (@list @t102 @t286) @t290)) % 0.36/0.74 (define @t292 () (not @t291)) % 0.36/0.74 (define @t293 () (@var "BOUND_VARIABLE_8056" $$unsorted)) % 0.36/0.74 (define @t294 () (tptp.in @t293 @t102)) % 0.36/0.74 (define @t295 () (not (tptp.in @t293 @t93))) % 0.36/0.74 (define @t296 () (@var "BOUND_VARIABLE_8050" $$unsorted)) % 0.36/0.74 (define @t297 () (tptp.in @t296 @t93)) % 0.36/0.74 (define @t298 () (not (tptp.in @t296 @t102))) % 0.36/0.74 (define @t299 () (tptp.in @t102 @t1)) % 0.36/0.74 (define @t300 () (not @t299)) % 0.36/0.74 (define @t301 () (or @t300 @t284 @t298 @t297 @t295 @t294)) % 0.36/0.74 (define @t302 () (@list @t102 @t93 @t296 @t293)) % 0.36/0.74 (define @t303 () (forall @t302 @t301)) % 0.36/0.74 (define @t304 () (not @t303)) % 0.36/0.74 (define @t305 () (forall @t116 (or @t300 (= @t281 @t277)))) % 0.36/0.74 (define @t306 () (not @t305)) % 0.36/0.74 (define @t307 () (tptp.in @t19 @t2)) % 0.36/0.74 (define @t308 () (not @t307)) % 0.36/0.74 (define @t309 () (forall @t133 (or @t233 @t308 @t306 @t127))) % 0.36/0.74 (define @t310 () (not @t309)) % 0.36/0.74 (define @t311 () (@var "BOUND_VARIABLE_7999" $$unsorted)) % 0.36/0.74 (define @t312 () (tptp.in @t311 @t2)) % 0.36/0.74 (define @t313 () (not (tptp.in @t311 @t102))) % 0.36/0.74 (define @t314 () (or @t300 @t313 @t312)) % 0.36/0.74 (define @t315 () (@list @t102 @t311)) % 0.36/0.74 (define @t316 () (forall @t315 @t314)) % 0.36/0.74 (define @t317 () (not @t316)) % 0.36/0.74 (define @t318 () (or @t317 @t310 @t304 @t292)) % 0.36/0.74 (define @t319 () (forall @t62 (not (forall @t39 @t318)))) % 0.36/0.74 (define @t320 () (forall @t9 (or @t239 @t233))) % 0.36/0.74 (define @t321 () (not @t320)) % 0.36/0.74 (define @t322 () (tptp.in @t1 @t2)) % 0.36/0.74 (define @t323 () (not @t322)) % 0.36/0.74 (define @t324 () (not (forall @t39 (or @t323 @t321)))) % 0.36/0.74 (define @t325 () (@var "BOUND_VARIABLE_7974" $$unsorted)) % 0.36/0.74 (define @t326 () (not (tptp.in @t325 @t2))) % 0.36/0.74 (define @t327 () (or @t326 @t324)) % 0.36/0.74 (define @t328 () (forall (@list @t2 @t325) @t327)) % 0.36/0.74 (define @t329 () (_ @t65 @t19 @t4)) % 0.36/0.74 (define @t330 () (not (forall @t68 (or @t308 (not @t329))))) % 0.36/0.74 (define @t331 () (forall @t9 (= @t238 @t330))) % 0.36/0.74 (define @t332 () (not (forall @t39 (not @t331)))) % 0.36/0.74 (define @t333 () (@var "BOUND_VARIABLE_7864" $$unsorted)) % 0.36/0.74 (define @t334 () (= @t19 @t333)) % 0.36/0.74 (define @t335 () (_ @t65 @t4 @t19)) % 0.36/0.74 (define @t336 () (not (forall @t68 (or (not @t335) @t334)))) % 0.36/0.74 (define @t337 () (_ @t65 @t4 @t333)) % 0.36/0.74 (define @t338 () (@list @t333)) % 0.36/0.74 (define @t339 () (not (forall @t338 (or (not @t337) @t336)))) % 0.36/0.74 (define @t340 () (forall @t9 (or @t233 @t339))) % 0.36/0.74 (define @t341 () (forall @t79 (or (not @t340) @t332))) % 0.36/0.74 (define @t342 () (@var "BOUND_VARIABLE_7845" $$unsorted)) % 0.36/0.74 (define @t343 () (tptp.in @t342 @t2)) % 0.36/0.74 (define @t344 () (not (tptp.in @t342 tptp.omega))) % 0.36/0.74 (define @t345 () (tptp.setadjoin @t4 @t4)) % 0.36/0.74 (define @t346 () (tptp.in @t345 @t2)) % 0.36/0.74 (define @t347 () (tptp.in @t4 tptp.omega)) % 0.36/0.74 (define @t348 () (not @t347)) % 0.36/0.74 (define @t349 () (forall @t9 (or @t348 @t233 @t346))) % 0.36/0.74 (define @t350 () (not @t349)) % 0.36/0.74 (define @t351 () (tptp.in tptp.emptyset @t2)) % 0.36/0.74 (define @t352 () (not @t351)) % 0.36/0.74 (define @t353 () (or @t352 @t350 @t344 @t343)) % 0.36/0.74 (define @t354 () (@list @t2 @t342)) % 0.36/0.74 (define @t355 () (forall @t354 @t353)) % 0.36/0.74 (define @t356 () (tptp.in @t345 tptp.omega)) % 0.36/0.74 (define @t357 () (forall @t9 (or @t348 @t356))) % 0.36/0.74 (define @t358 () (=> @t357 (=> @t355 (=> @t341 (=> @t328 (=> @t319 (=> @t266 (=> @t261 (=> @t260 (=> @t259 @t257)))))))))) % 0.36/0.74 (define @t359 () (tptp.in tptp.emptyset tptp.omega)) % 0.36/0.74 (define @t360 () (=> @t48 @t358)) % 0.36/0.74 (define @t361 () (tptp.setunion @t2)) % 0.36/0.74 (define @t362 () (tptp.in @t4 @t361)) % 0.36/0.74 (define @t363 () (not (forall @t39 (or @t239 @t323)))) % 0.36/0.74 (define @t364 () (forall @t44 (= @t363 @t362))) % 0.36/0.74 (define @t365 () (=> @t364 @t360)) % 0.36/0.74 (define @t366 () (tptp.powerset @t2)) % 0.36/0.74 (define @t367 () (tptp.in @t1 @t366)) % 0.36/0.74 (define @t368 () (forall @t12 (= @t240 @t367))) % 0.36/0.74 (define @t369 () (=> @t368 @t365)) % 0.36/0.74 (define @t370 () (tptp.setadjoin @t4 @t2)) % 0.36/0.74 (define @t371 () (tptp.in @t19 @t370)) % 0.36/0.74 (define @t372 () (forall @t27 (= @t371 (or @t127 @t307)))) % 0.36/0.74 (define @t373 () (=> @t372 @t369)) % 0.36/0.74 (define @t374 () (=> @t253 @t373)) % 0.36/0.74 (define @t375 () (forall @t9 (= @t232 @t238))) % 0.36/0.74 (define @t376 () (forall @t12 (or (not @t375) @t3))) % 0.36/0.74 (define @t377 () (=> @t376 @t374)) % 0.36/0.74 (define @t378 () (=> @t259 (=> true @t257))) % 0.36/0.74 (define @t379 () (=> @t260 @t378)) % 0.36/0.74 (define @t380 () (=> @t261 @t379)) % 0.36/0.74 (define @t381 () (=> @t266 @t380)) % 0.36/0.74 (define @t382 () (=> @t319 @t381)) % 0.36/0.74 (define @t383 () (=> @t328 @t382)) % 0.36/0.74 (define @t384 () (=> @t341 @t383)) % 0.36/0.74 (define @t385 () (=> @t355 @t384)) % 0.36/0.74 (define @t386 () (=> @t357 @t385)) % 0.36/0.74 (define @t387 () (=> @t48 @t386)) % 0.36/0.74 (define @t388 () (=> @t364 @t387)) % 0.36/0.74 (define @t389 () (=> @t368 @t388)) % 0.36/0.74 (define @t390 () (=> @t372 @t389)) % 0.36/0.74 (define @t391 () (=> @t253 @t390)) % 0.36/0.74 (define @t392 () (=> @t376 @t391)) % 0.36/0.74 (define @t393 () (=> tptp.noeltsimpempty @t234)) % 0.36/0.74 (define @t394 () (=> tptp.emptyI @t393)) % 0.36/0.74 (define @t395 () (=> @t240 @t3)) % 0.36/0.74 (define @t396 () (not @t6)) % 0.36/0.74 (define @t397 () (or @t396 @t7)) % 0.36/0.74 (define @t398 () (or @t192 @t6)) % 0.36/0.74 (define @t399 () (=> tptp.setext @t394)) % 0.36/0.74 (define @t400 () (or @t247 (= @t245 @t19))) % 0.36/0.74 (define @t401 () (forall @t68 @t400)) % 0.36/0.74 (define @t402 () (not @t401)) % 0.36/0.74 (define @t403 () (or @t250 @t248 @t402)) % 0.36/0.74 (define @t404 () (or @t248 @t402)) % 0.36/0.74 (define @t405 () (or @t404 @t250)) % 0.36/0.74 (define @t406 () (forall @t251 @t405)) % 0.36/0.74 (define @t407 () (@list @t245)) % 0.36/0.74 (define @t408 () (forall @t407 @t405)) % 0.36/0.74 (define @t409 () (forall @t407 @t404)) % 0.36/0.74 (define @t410 () (@list @t4)) % 0.36/0.74 (define @t411 () (or @t409 @t250)) % 0.36/0.74 (define @t412 () (forall @t68 (or @t247 @t127))) % 0.36/0.74 (define @t413 () (not @t412)) % 0.36/0.74 (define @t414 () (forall @t9 (or @t249 @t413))) % 0.36/0.74 (define @t415 () (not @t414)) % 0.36/0.74 (define @t416 () (not @t415)) % 0.36/0.74 (define @t417 () (not @t142)) % 0.36/0.74 (define @t418 () (forall @t9 @t417)) % 0.36/0.74 (define @t419 () (not @t418)) % 0.36/0.74 (define @t420 () (or @t417 @t413)) % 0.36/0.74 (define @t421 () (not @t151)) % 0.36/0.74 (define @t422 () (or @t421 @t127)) % 0.36/0.74 (define @t423 () (_ @t143 @t19)) % 0.36/0.74 (define @t424 () (not @t423)) % 0.36/0.74 (define @t425 () (or @t424 @t127)) % 0.36/0.74 (define @t426 () (forall @t68 @t425)) % 0.36/0.74 (define @t427 () (not @t426)) % 0.36/0.74 (define @t428 () (_ @t143 @t4)) % 0.36/0.74 (define @t429 () (not @t428)) % 0.36/0.74 (define @t430 () (or @t429 @t427)) % 0.36/0.74 (define @t431 () (forall @t9 @t430)) % 0.36/0.74 (define @t432 () (not @t431)) % 0.36/0.74 (define @t433 () (lambda @t148 @t415)) % 0.36/0.74 (define @t434 () (_ @t433 @t143)) % 0.36/0.74 (define @t435 () (=> @t434 @t182)) % 0.36/0.74 (define @t436 () (forall @t148 @t435)) % 0.36/0.74 (define @t437 () (and @t142 @t412)) % 0.36/0.74 (define @t438 () (forall @t9 (not @t437))) % 0.36/0.74 (define @t439 () (not @t438)) % 0.36/0.74 (define @t440 () (=> tptp.exuE3e @t399)) % 0.36/0.74 (define @t441 () (=> tptp.notinemptyset @t440)) % 0.36/0.74 (define @t442 () (=> tptp.emptysetimpfalse @t441)) % 0.36/0.74 (define @t443 () (not (= @t170 false))) % 0.36/0.74 (define @t444 () (or @t170 @t170)) % 0.36/0.74 (define @t445 () (=> tptp.emptysetE @t442)) % 0.36/0.74 (define @t446 () (@var "BOUND_VARIABLE_8258" $$unsorted)) % 0.36/0.74 (define @t447 () (@list @t446)) % 0.36/0.74 (define @t448 () (lambda @t447 false)) % 0.36/0.74 (define @t449 () (@list @t446)) % 0.36/0.74 (define @t450 () (tptp.dsetconstr @t256 @t448)) % 0.36/0.74 (define @t451 () (tptp.in @t4 @t450)) % 0.36/0.74 (define @t452 () (not @t451)) % 0.36/0.74 (define @t453 () (or @t452 false)) % 0.36/0.74 (define @t454 () (lambda @t447 @t170)) % 0.36/0.74 (define @t455 () (tptp.dsetconstr @t256 @t454)) % 0.36/0.74 (define @t456 () (tptp.in @t4 @t455)) % 0.36/0.74 (define @t457 () (not @t456)) % 0.36/0.74 (define @t458 () (or @t170 @t457 @t170)) % 0.36/0.74 (define @t459 () (or @t457 @t170)) % 0.36/0.74 (define @t460 () (forall @t175 @t459)) % 0.36/0.74 (define @t461 () (forall @t9 @t460)) % 0.36/0.74 (define @t462 () (forall (@list @t4 @t170) @t459)) % 0.36/0.74 (define @t463 () (_ @t227 @t454)) % 0.36/0.74 (define @t464 () (_ @t5 @t463)) % 0.36/0.74 (define @t465 () (not @t464)) % 0.36/0.74 (define @t466 () (or @t465 @t170)) % 0.36/0.74 (define @t467 () (=> (_ @t5 @t228) @t170)) % 0.36/0.74 (define @t468 () (_ @t229 @t170)) % 0.36/0.74 (define @t469 () (=> (_ @t5 @t468) @t170)) % 0.36/0.74 (define @t470 () (forall @t172 @t469)) % 0.36/0.74 (define @t471 () (=> tptp.prop2setE @t445)) % 0.36/0.74 (define @t472 () (=> @t434 @t166)) % 0.36/0.74 (define @t473 () (forall @t148 @t472)) % 0.36/0.74 (define @t474 () (=> tptp.exuE1 @t471)) % 0.36/0.74 (define @t475 () (lambda @t68 @t246)) % 0.36/0.74 (define @t476 () (tptp.dsetconstr @t2 @t475)) % 0.36/0.74 (define @t477 () (tptp.in @t4 @t476)) % 0.36/0.74 (define @t478 () (not @t477)) % 0.36/0.74 (define @t479 () (or @t478 @t231)) % 0.36/0.74 (define @t480 () (not @t155)) % 0.36/0.74 (define @t481 () (or @t480 @t142)) % 0.36/0.74 (define @t482 () (=> tptp.dsetconstrER @t474)) % 0.36/0.74 (define @t483 () (or @t478 @t232)) % 0.36/0.74 (define @t484 () (or @t480 @t7)) % 0.36/0.74 (define @t485 () (=> tptp.dsetconstrEL @t482)) % 0.36/0.74 (define @t486 () (or @t233 @t249 @t477)) % 0.36/0.74 (define @t487 () (or @t192 @t417 @t155)) % 0.36/0.74 (define @t488 () (=> tptp.dsetconstrI @t485)) % 0.36/0.74 (define @t489 () (or @t247 (= @t262 @t19))) % 0.36/0.74 (define @t490 () (forall @t68 @t489)) % 0.36/0.74 (define @t491 () (not @t490)) % 0.36/0.74 (define @t492 () (or @t264 @t263 @t491)) % 0.36/0.74 (define @t493 () (or @t263 @t491)) % 0.36/0.74 (define @t494 () (or @t493 @t264)) % 0.36/0.74 (define @t495 () (forall @t265 @t494)) % 0.36/0.74 (define @t496 () (@list @t262)) % 0.36/0.74 (define @t497 () (forall @t496 @t494)) % 0.36/0.74 (define @t498 () (forall @t496 @t493)) % 0.36/0.74 (define @t499 () (or @t498 @t264)) % 0.36/0.74 (define @t500 () (lambda @t9 @t231)) % 0.36/0.74 (define @t501 () (tptp.descr @t500)) % 0.36/0.74 (define @t502 () (_ @t141 @t501)) % 0.36/0.74 (define @t503 () (or @t414 @t502)) % 0.36/0.74 (define @t504 () (or @t414 @t145)) % 0.36/0.74 (define @t505 () (=> @t434 @t145)) % 0.36/0.74 (define @t506 () (forall @t148 @t505)) % 0.36/0.74 (define @t507 () (=> tptp.descrp @t488)) % 0.36/0.74 (define @t508 () (and @t316 @t309 @t303 @t291)) % 0.36/0.74 (define @t509 () (forall @t39 (not @t508))) % 0.36/0.74 (define @t510 () (not @t509)) % 0.36/0.74 (define @t511 () (@list @t286)) % 0.36/0.74 (define @t512 () (forall @t511 @t290)) % 0.36/0.74 (define @t513 () (forall @t511 @t287)) % 0.36/0.74 (define @t514 () (or @t289 @t513 @t285)) % 0.36/0.74 (define @t515 () (forall @t9 @t282)) % 0.36/0.74 (define @t516 () (or @t289 @t515 @t285)) % 0.36/0.74 (define @t517 () (not @t515)) % 0.36/0.74 (define @t518 () (and @t288 @t517)) % 0.36/0.74 (define @t519 () (not @t107)) % 0.36/0.74 (define @t520 () (not @t108)) % 0.36/0.74 (define @t521 () (or @t520 @t519 @t280 @t276)) % 0.36/0.74 (define @t522 () (and @t108 @t107 @t279 @t275)) % 0.36/0.74 (define @t523 () (forall @t110 (not @t522))) % 0.36/0.74 (define @t524 () (not @t523)) % 0.36/0.74 (define @t525 () (or @t269 @t268)) % 0.36/0.74 (define @t526 () (or @t272 @t525 @t270)) % 0.36/0.74 (define @t527 () (forall @t274 @t526)) % 0.36/0.74 (define @t528 () (@list @t267)) % 0.36/0.74 (define @t529 () (forall @t528 @t526)) % 0.36/0.74 (define @t530 () (forall @t528 @t525)) % 0.36/0.74 (define @t531 () (or @t272 @t530 @t270)) % 0.36/0.74 (define @t532 () (tptp.in @t19 @t91)) % 0.36/0.74 (define @t533 () (forall @t68 (or (not @t532) @t278))) % 0.36/0.74 (define @t534 () (not @t98)) % 0.36/0.74 (define @t535 () (or @t534 @t533 @t92)) % 0.36/0.74 (define @t536 () (or @t533 @t92)) % 0.36/0.74 (define @t537 () (not @t95)) % 0.36/0.74 (define @t538 () (or @t537 @t94)) % 0.36/0.74 (define @t539 () (not @t103)) % 0.36/0.74 (define @t540 () (not @t94)) % 0.36/0.74 (define @t541 () (or @t540 @t539)) % 0.36/0.74 (define @t542 () (forall @t68 (not @t104))) % 0.36/0.74 (define @t543 () (not @t542)) % 0.36/0.74 (define @t544 () (forall @t9 @t519)) % 0.36/0.74 (define @t545 () (not @t544)) % 0.36/0.74 (define @t546 () (or @t519 @t7)) % 0.36/0.74 (define @t547 () (or @t295 @t294)) % 0.36/0.74 (define @t548 () (or @t298 @t297)) % 0.36/0.74 (define @t549 () (or @t300 @t284 @t548 @t547)) % 0.36/0.74 (define @t550 () (forall @t302 @t549)) % 0.36/0.74 (define @t551 () (forall (@list @t296 @t293) @t549)) % 0.36/0.74 (define @t552 () (forall (@list @t293) @t547)) % 0.36/0.74 (define @t553 () (forall (@list @t296) @t548)) % 0.36/0.74 (define @t554 () (or @t300 @t284 @t553 @t552)) % 0.36/0.74 (define @t555 () (tptp.in @t4 @t93)) % 0.36/0.74 (define @t556 () (forall @t9 (or (not @t555) @t281))) % 0.36/0.74 (define @t557 () (forall @t9 (or @t282 @t555))) % 0.36/0.74 (define @t558 () (not @t122)) % 0.36/0.74 (define @t559 () (or @t558 @t520 @t557 @t556)) % 0.36/0.74 (define @t560 () (or @t557 @t556)) % 0.36/0.74 (define @t561 () (not @t118)) % 0.36/0.74 (define @t562 () (or @t561 @t107)) % 0.36/0.74 (define @t563 () (or @t519 @t118)) % 0.36/0.74 (define @t564 () (not @t21)) % 0.36/0.74 (define @t565 () (or @t192 @t564 @t306 @t127)) % 0.36/0.74 (define @t566 () (=> @t305 @t127)) % 0.36/0.74 (define @t567 () (or @t558 @t128)) % 0.36/0.74 (define @t568 () (or @t313 @t312)) % 0.36/0.74 (define @t569 () (or @t300 @t568)) % 0.36/0.74 (define @t570 () (forall @t315 @t569)) % 0.36/0.74 (define @t571 () (@list @t311)) % 0.36/0.74 (define @t572 () (forall @t571 @t569)) % 0.36/0.74 (define @t573 () (forall @t571 @t568)) % 0.36/0.74 (define @t574 () (or @t300 @t573)) % 0.36/0.74 (define @t575 () (or @t558 @t288)) % 0.36/0.74 (define @t576 () (=> tptp.wellorderingAx @t507)) % 0.36/0.74 (define @t577 () (@list @t325)) % 0.36/0.74 (define @t578 () (forall @t577 @t327)) % 0.36/0.74 (define @t579 () (forall @t577 @t326)) % 0.36/0.74 (define @t580 () (or @t579 @t324)) % 0.36/0.74 (define @t581 () (not @t37)) % 0.36/0.74 (define @t582 () (or @t581 @t321)) % 0.36/0.74 (define @t583 () (and @t37 @t320)) % 0.36/0.74 (define @t584 () (forall @t39 (not @t583))) % 0.36/0.74 (define @t585 () (not @t584)) % 0.36/0.74 (define @t586 () (or @t396 @t192)) % 0.36/0.74 (define @t587 () (forall @t9 (not @t82))) % 0.36/0.74 (define @t588 () (not @t587)) % 0.36/0.74 (define @t589 () (not @t193)) % 0.36/0.74 (define @t590 () (=> tptp.foundationAx @t576)) % 0.36/0.74 (define @t591 () (= @t6 @t330)) % 0.36/0.74 (define @t592 () (not @t66)) % 0.36/0.74 (define @t593 () (or @t564 @t592)) % 0.36/0.74 (define @t594 () (forall @t68 (not @t67))) % 0.36/0.74 (define @t595 () (not @t594)) % 0.36/0.74 (define @t596 () (or @t192 @t339)) % 0.36/0.74 (define @t597 () (_ @t73 @t333)) % 0.36/0.74 (define @t598 () (not @t597)) % 0.36/0.74 (define @t599 () (or @t598 @t336)) % 0.36/0.74 (define @t600 () (not @t74)) % 0.36/0.74 (define @t601 () (or @t600 @t334)) % 0.36/0.74 (define @t602 () (_ @t75 @t19)) % 0.36/0.74 (define @t603 () (not @t602)) % 0.36/0.74 (define @t604 () (or @t603 @t334)) % 0.36/0.74 (define @t605 () (forall @t68 @t604)) % 0.36/0.74 (define @t606 () (not @t605)) % 0.36/0.74 (define @t607 () (_ @t75 @t333)) % 0.36/0.74 (define @t608 () (not @t607)) % 0.36/0.74 (define @t609 () (or @t608 @t606)) % 0.36/0.74 (define @t610 () (forall @t338 @t609)) % 0.36/0.74 (define @t611 () (not @t610)) % 0.36/0.74 (define @t612 () (not (_ @t141 @t333))) % 0.36/0.74 (define @t613 () (or @t247 (= @t333 @t19))) % 0.36/0.74 (define @t614 () (forall @t68 @t613)) % 0.36/0.74 (define @t615 () (not @t614)) % 0.36/0.74 (define @t616 () (or @t612 @t615)) % 0.36/0.74 (define @t617 () (forall @t338 @t616)) % 0.36/0.74 (define @t618 () (not @t617)) % 0.36/0.74 (define @t619 () (=> @t7 (_ @t433 @t75))) % 0.36/0.74 (define @t620 () (forall @t9 @t619)) % 0.36/0.74 (define @t621 () (=> @t620 @t72)) % 0.36/0.74 (define @t622 () (forall @t79 @t621)) % 0.36/0.74 (define @t623 () (=> tptp.replAx @t590)) % 0.36/0.74 (define @t624 () (or @t344 @t343)) % 0.36/0.74 (define @t625 () (or @t352 @t350 @t624)) % 0.36/0.74 (define @t626 () (forall @t354 @t625)) % 0.36/0.74 (define @t627 () (@list @t342)) % 0.36/0.74 (define @t628 () (forall @t627 @t625)) % 0.36/0.74 (define @t629 () (forall @t627 @t624)) % 0.36/0.74 (define @t630 () (or @t352 @t350 @t629)) % 0.36/0.74 (define @t631 () (forall @t9 (or @t348 @t232))) % 0.36/0.74 (define @t632 () (not @t59)) % 0.36/0.74 (define @t633 () (or @t632 @t350 @t631)) % 0.36/0.74 (define @t634 () (and @t59 @t349)) % 0.36/0.74 (define @t635 () (not @t52)) % 0.36/0.74 (define @t636 () (or @t635 @t7)) % 0.36/0.74 (define @t637 () (_ tptp.in @t345)) % 0.36/0.74 (define @t638 () (or @t635 @t192 @t56)) % 0.36/0.74 (define @t639 () (=> tptp.omegaIndAx @t623)) % 0.36/0.74 (define @t640 () (or @t635 @t51)) % 0.36/0.74 (define @t641 () (=> tptp.omegaSAx @t639)) % 0.36/0.74 (define @t642 () (=> tptp.omega0Ax @t641)) % 0.36/0.74 (define @t643 () (= @t42 @t363)) % 0.36/0.74 (define @t644 () (or @t396 @t581)) % 0.36/0.74 (define @t645 () (forall @t39 (not @t38))) % 0.36/0.74 (define @t646 () (not @t645)) % 0.36/0.74 (define @t647 () (=> tptp.setunionAx @t642)) % 0.36/0.74 (define @t648 () (= @t33 @t240)) % 0.36/0.74 (define @t649 () (=> tptp.powersetAx @t647)) % 0.36/0.74 (define @t650 () (or @t127 @t21)) % 0.36/0.74 (define @t651 () (= @t25 @t650)) % 0.36/0.74 (define @t652 () (=> tptp.setadjoinAx @t649)) % 0.36/0.74 (define @t653 () (=> tptp.emptysetAx @t652)) % 0.36/0.74 (define @t654 () (=> tptp.setextAx @t653)) % 0.36/0.74 (define @t655 () (= @t231 @t477)) % 0.36/0.74 (define @t656 () (or @t233 @t655)) % 0.36/0.74 (define @t657 () (= @t142 @t155)) % 0.36/0.74 (define @t658 () (or @t192 @t657)) % 0.36/0.74 (define @t659 () (@quantifiers_skolemize @t234 1)) % 0.36/0.74 (define @t660 () (@quantifiers_skolemize @t234 0)) % 0.36/0.74 (define @t661 () (@quantifiers_skolemize @t234 2)) % 0.36/0.74 (define @t662 () (tptp.in @t661 (tptp.dsetconstr @t660 @t659))) % 0.36/0.74 (define @t663 () (_ @t659 @t661)) % 0.36/0.74 (define @t664 () (= @t663 @t662)) % 0.36/0.74 (define @t665 () (tptp.in @t661 @t660)) % 0.36/0.74 (define @t666 () (not @t665)) % 0.36/0.74 (define @t667 () (or @t666 @t664)) % 0.36/0.74 (define @t668 () (@list true)) % 0.36/0.74 (define @t669 () (@list @t667)) % 0.36/0.74 (define @t670 () (@list @t660 @t659 @t661)) % 0.36/0.74 (define @t671 () (not @t663)) % 0.36/0.74 (define @t672 () (or @t666 @t671 @t662)) % 0.36/0.74 (define @t673 () (not @t662)) % 0.36/0.74 (define @t674 () (or @t673 @t663)) % 0.36/0.74 (define @t675 () (not @t674)) % 0.36/0.74 (define @t676 () (@list true false)) % 0.36/0.74 (assume @p1 @t14) % 0.36/0.74 (assume @p2 @t18) % 0.36/0.74 (assume @p3 @t29) % 0.36/0.74 (assume @p4 @t36) % 0.36/0.74 (assume @p5 @t46) % 0.36/0.74 (assume @p6 (= tptp.omega0Ax @t48)) % 0.36/0.74 (assume @p7 @t54) % 0.36/0.74 (assume @p8 @t64) % 0.36/0.74 (assume @p9 @t81) % 0.36/0.74 (assume @p10 @t90) % 0.36/0.74 (assume @p11 @t140) % 0.36/0.74 (assume @p12 @t150) % 0.36/0.74 (assume @p13 @t159) % 0.36/0.74 (assume @p14 @t161) % 0.36/0.74 (assume @p15 @t163) % 0.36/0.74 (assume @p16 @t169) % 0.36/0.74 (assume @p17 @t174) % 0.36/0.74 (assume @p18 @t179) % 0.36/0.74 (assume @p19 @t181) % 0.36/0.74 (assume @p20 (= tptp.notinemptyset @t17)) % 0.36/0.74 (assume @p21 @t185) % 0.36/0.74 (assume @p22 @t190) % 0.36/0.74 (assume @p23 @t196) % 0.36/0.74 (assume @p24 (= tptp.noeltsimpempty @t195)) % 0.36/0.74 (assume @p25 @t223) % 0.36/0.74 (assume @p26 true) % 0.36/0.74 (step @p27 (= tptp.exu @t224) :rule refl :args (@t224)) % 0.36/0.74 (step @p28 (= tptp.prop2set @t229) :rule refl :args (@t229)) % 0.36/0.74 (step @p29 :rule refl :args (@t358)) % 0.36/0.74 (step @p30 :rule refl :args (@t359)) % 0.36/0.74 (step @p31 :rule refl :args (@t48)) % 0.36/0.74 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t48 @t359))) % 0.36/0.74 (step @p33 :rule symm :premises (@p32)) % 0.36/0.74 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.36/0.74 (step @p35 :rule cong :premises (@p34 @p29) :args (@t360)) % 0.36/0.74 (step @p36 :rule refl :args (@t364)) % 0.36/0.74 (step @p37 :rule cong :premises (@p36 @p35) :args (@t365)) % 0.36/0.74 (step @p38 :rule refl :args (@t368)) % 0.36/0.74 (step @p39 :rule cong :premises (@p38 @p37) :args (@t369)) % 0.36/0.74 (step @p40 :rule refl :args (@t372)) % 0.36/0.74 (step @p41 :rule cong :premises (@p40 @p39) :args (@t373)) % 0.36/0.74 (step @p42 :rule refl :args (@t253)) % 0.36/0.74 (step @p43 :rule cong :premises (@p42 @p41) :args (@t374)) % 0.36/0.74 (step @p44 :rule refl :args (@t376)) % 0.36/0.74 (step @p45 :rule cong :premises (@p44 @p43) :args (@t377)) % 0.36/0.74 (step @p46 :rule cong :premises (@p45) :args ((not @t377))) % 0.36/0.74 (step @p47 :rule bool-impl-true2 :args (@t257)) % 0.36/0.74 (step @p48 :rule refl :args (@t259)) % 0.36/0.74 (step @p49 :rule cong :premises (@p48 @p47) :args (@t378)) % 0.36/0.74 (step @p50 :rule refl :args (@t260)) % 0.36/0.74 (step @p51 :rule cong :premises (@p50 @p49) :args (@t379)) % 0.36/0.74 (step @p52 :rule refl :args (@t261)) % 0.36/0.74 (step @p53 :rule cong :premises (@p52 @p51) :args (@t380)) % 0.36/0.74 (step @p54 :rule refl :args (@t266)) % 0.36/0.74 (step @p55 :rule cong :premises (@p54 @p53) :args (@t381)) % 0.36/0.74 (step @p56 :rule refl :args (@t319)) % 0.36/0.74 (step @p57 :rule cong :premises (@p56 @p55) :args (@t382)) % 0.36/0.74 (step @p58 :rule refl :args (@t328)) % 0.36/0.74 (step @p59 :rule cong :premises (@p58 @p57) :args (@t383)) % 0.36/0.74 (step @p60 :rule refl :args (@t341)) % 0.36/0.74 (step @p61 :rule cong :premises (@p60 @p59) :args (@t384)) % 0.36/0.74 (step @p62 :rule refl :args (@t355)) % 0.36/0.74 (step @p63 :rule cong :premises (@p62 @p61) :args (@t385)) % 0.36/0.74 (step @p64 :rule refl :args (@t357)) % 0.36/0.74 (step @p65 :rule cong :premises (@p64 @p63) :args (@t386)) % 0.36/0.74 (step @p66 :rule refl :args (@t48)) % 0.36/0.74 (step @p67 :rule cong :premises (@p66 @p65) :args (@t387)) % 0.36/0.74 (step @p68 :rule cong :premises (@p36 @p67) :args (@t388)) % 0.36/0.74 (step @p69 :rule cong :premises (@p38 @p68) :args (@t389)) % 0.36/0.74 (step @p70 :rule cong :premises (@p40 @p69) :args (@t390)) % 0.36/0.74 (step @p71 :rule cong :premises (@p42 @p70) :args (@t391)) % 0.36/0.74 (step @p72 :rule cong :premises (@p44 @p71) :args (@t392)) % 0.36/0.74 (step @p73 :rule cong :premises (@p72) :args ((not @t392))) % 0.36/0.74 (step @p74 :rule refl :args (@t234)) % 0.36/0.74 (step @p75 :rule eq-symm :args (@t237 tptp.noeltsimpempty)) % 0.36/0.74 (step @p76 :rule refl :args (tptp.noeltsimpempty)) % 0.36/0.74 (step @p77 :rule bool-impl-elim :args (@t235 @t191)) % 0.36/0.74 (step @p78 :rule cong :premises (@p77) :args ((forall @t62 (=> @t235 @t191)))) % 0.36/0.74 (step @p79 :rule refl :args (@t191)) % 0.36/0.74 (step @p80 :rule refl :args (@t232)) % 0.36/0.74 (step @p81 :rule refl :args (@t7)) % 0.36/0.74 (step @p82 :rule cong :premises (@p81 @p80) :args ((= @t7 @t232))) % 0.36/0.74 (step @p83 :rule symm :premises (@p82)) % 0.36/0.74 (step @p84 :rule eq_resolve :premises (@p81 @p83)) % 0.36/0.74 (step @p85 :rule cong :premises (@p84) :args (@t192)) % 0.36/0.74 (step @p86 :rule cong :premises (@p85) :args (@t193)) % 0.36/0.74 (step @p87 :rule cong :premises (@p86 @p79) :args (@t194)) % 0.36/0.74 (step @p88 :rule cong :premises (@p87) :args (@t195)) % 0.36/0.74 (step @p89 :rule trans :premises (@p88 @p78)) % 0.36/0.74 (step @p90 :rule cong :premises (@p89 @p76) :args ((= @t195 tptp.noeltsimpempty))) % 0.36/0.74 (step @p91 :rule trans :premises (@p90 @p75)) % 0.36/0.74 (step @p92 :rule eq-symm :args (tptp.noeltsimpempty @t195)) % 0.36/0.74 (step @p93 :rule trans :premises (@p92 @p91)) % 0.36/0.74 (step @p94 :rule eq_resolve :premises (@p24 @p93)) % 0.36/0.74 (step @p95 :rule cong :premises (@p94 @p74) :args (@t393)) % 0.36/0.74 (step @p96 :rule refl :args (tptp.emptyI)) % 0.36/0.74 (step @p97 :rule cong :premises (@p96 @p89) :args (@t196)) % 0.36/0.74 (step @p98 :rule eq_resolve :premises (@p23 @p97)) % 0.36/0.74 (step @p99 :rule cong :premises (@p98 @p95) :args (@t394)) % 0.36/0.74 (step @p100 :rule aci_norm :args ((= (or @t243 (or @t241 @t3)) @t244))) % 0.36/0.74 (step @p101 :rule bool-impl-elim :args (@t240 @t3)) % 0.36/0.74 (step @p102 :rule refl :args (@t243)) % 0.36/0.74 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or @t243 @t395))) % 0.36/0.74 (step @p104 :rule trans :premises (@p103 @p100)) % 0.36/0.74 (step @p105 :rule bool-impl-elim :args (@t242 @t395)) % 0.36/0.74 (step @p106 :rule trans :premises (@p105 @p104)) % 0.36/0.74 (step @p107 :rule cong :premises (@p106) :args ((forall @t12 (=> @t242 @t395)))) % 0.36/0.74 (step @p108 :rule refl :args (@t3)) % 0.36/0.74 (step @p109 :rule refl :args (@t238)) % 0.36/0.74 (step @p110 :rule refl :args (@t6)) % 0.36/0.74 (step @p111 :rule cong 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@p1212) :args (@t221)) % 0.36/0.74 (step @p1214 :rule cong :premises (@p1170 @p1213) :args (@t222)) % 0.36/0.74 (step @p1215 :rule cong :premises (@p1214) :args (@t223)) % 0.36/0.74 (step @p1216 :rule trans :premises (@p1215 @p1175 @p46)) % 0.36/0.74 (step @p1217 :rule eq_resolve :premises (@p25 @p1216)) % 0.36/0.74 (step @p1218 :rule not_implies_elim2 :premises (@p1217)) % 0.36/0.74 (step @p1219 :rule not_implies_elim2 :premises (@p1218)) % 0.36/0.74 (step @p1220 :rule not_implies_elim2 :premises (@p1219)) % 0.36/0.74 (step @p1221 :rule not_implies_elim2 :premises (@p1220)) % 0.36/0.74 (step @p1222 :rule not_implies_elim2 :premises (@p1221)) % 0.36/0.74 (step @p1223 :rule not_implies_elim2 :premises (@p1222)) % 0.36/0.74 (step @p1224 :rule not_implies_elim2 :premises (@p1223)) % 0.36/0.74 (step @p1225 :rule not_implies_elim2 :premises (@p1224)) % 0.36/0.74 (step @p1226 :rule not_implies_elim2 :premises (@p1225)) % 0.36/0.74 (step @p1227 :rule not_implies_elim2 :premises (@p1226)) % 0.36/0.74 (step @p1228 :rule not_implies_elim2 :premises (@p1227)) % 0.36/0.74 (step @p1229 :rule not_implies_elim2 :premises (@p1228)) % 0.36/0.74 (step @p1230 :rule not_implies_elim2 :premises (@p1229)) % 0.36/0.74 (step @p1231 :rule not_implies_elim2 :premises (@p1230)) % 0.36/0.74 (step @p1232 :rule not_implies_elim1 :premises (@p1231)) % 0.36/0.74 (step @p1233 :rule not_implies_elim2 :premises (@p1231)) % 0.36/0.74 (step @p1234 :rule not_implies_elim2 :premises (@p1233)) % 0.36/0.74 (step @p1235 :rule not_implies_elim2 :premises (@p1234)) % 0.36/0.74 (step @p1236 :rule not_implies_elim2 :premises (@p1235)) % 0.36/0.74 (step @p1237 :rule not_implies_elim2 :premises (@p1236)) % 0.36/0.74 (step @p1238 :rule not_implies_elim2 :premises (@p1237)) % 0.36/0.74 (step @p1239 :rule not_implies_elim2 :premises (@p1238)) % 0.36/0.74 (step @p1240 :rule not_implies_elim2 :premises (@p1239)) % 0.36/0.74 (step @p1241 :rule not_implies_elim2 :premises (@p1240)) % 0.36/0.74 (step @p1242 :rule 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0.36/0.74 (step @p1256 :rule reordering :premises (@p1255) :args ((or @t666 @t662 @t671 (not @t672)))) % 0.36/0.74 (step @p1257 :rule chain_m_resolution :premises (@p1256 @p1254 @p1252 @p1245 @p1244) :args (@t671 (@list false false true true) (@list @t672 @t665 @t662 @t664))) % 0.36/0.74 (step @p1258 :rule cnf_equiv_neg1 :args (@t664)) % 0.36/0.74 (step @p1259 :rule reordering :premises (@p1258) :args ((or @t663 @t662 @t664))) % 0.36/0.74 (step @p1260 :rule chain_m_resolution :premises (@p1259 @p1257 @p1244) :args (@t662 (@list true true) (@list @t663 @t664))) % 0.36/0.74 (step @p1261 :rule cnf_or_pos :args (@t674)) % 0.36/0.74 (step @p1262 :rule reordering :premises (@p1261) :args ((or @t663 @t673 @t675))) % 0.36/0.74 (step @p1263 :rule chain_m_resolution :premises (@p1262 @p1257 @p1260) :args (@t675 @t676 (@list @t663 @t662))) % 0.36/0.74 (assume-push @p1270 @t259) % 0.36/0.74 (step @p1265 :rule instantiate :premises (@p1232) :args (@t670)) % 0.36/0.74 (step-pop @p1271 :rule scope 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