%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU535^1 : 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 : n026.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 08:52:06 AM UTC 2026 % Result : Theorem 0.39s 0.75s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU535^1 : 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 : n026.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 17:41:25 EDT 2026 % 0.19/0.35 % CPUTime : % 0.28/0.53 %----Proving TH0 % 0.39/0.75 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.75 % SZS status Theorem % 0.39/0.75 % SZS output start Proof % 0.39/0.75 ( % 0.39/0.75 (declare-sort $$unsorted 0) % 0.39/0.75 (declare-const tptp.emptyset $$unsorted) % 0.39/0.75 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.39/0.75 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.39/0.75 (declare-const tptp.upairsetIR Bool) % 0.39/0.75 (declare-const tptp.upairsetIL Bool) % 0.39/0.75 (declare-const tptp.upairsetE Bool) % 0.39/0.75 (declare-const tptp.notinsingleton Bool) % 0.39/0.75 (declare-const tptp.subPowSU Bool) % 0.39/0.75 (declare-const tptp.setunionE Bool) % 0.39/0.75 (declare-const tptp.setunionI Bool) % 0.39/0.75 (declare-const tptp.powersetE Bool) % 0.39/0.75 (declare-const tptp.emptyInPowerset Bool) % 0.39/0.75 (declare-const tptp.setoftrueEq Bool) % 0.39/0.75 (declare-const tptp.uniqinunit Bool) % 0.39/0.75 (declare-const tptp.setadjoinOr Bool) % 0.39/0.75 (declare-const tptp.setadjoinE Bool) % 0.39/0.75 (declare-const tptp.emptyinunitempty Bool) % 0.39/0.75 (declare-const tptp.nonemptyI1 Bool) % 0.39/0.75 (declare-const tptp.nonemptyI Bool) % 0.39/0.75 (declare-const tptp.nonemptyE1 Bool) % 0.39/0.75 (declare-const tptp.noeltsimpempty Bool) % 0.39/0.75 (declare-const tptp.emptyI Bool) % 0.39/0.75 (declare-const tptp.omegaIndAx Bool) % 0.39/0.75 (declare-const tptp.omega0Ax Bool) % 0.39/0.75 (declare-const tptp.setadjoinIL Bool) % 0.39/0.75 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.39/0.75 (declare-const tptp.powersetAx Bool) % 0.39/0.75 (declare-const tptp.nonemptyImpWitness Bool) % 0.39/0.75 (declare-const tptp.omegaSAx Bool) % 0.39/0.75 (declare-const tptp.setext Bool) % 0.39/0.75 (declare-const tptp.setadjoinAx Bool) % 0.39/0.75 (declare-const tptp.powersetI Bool) % 0.39/0.75 (declare-const tptp.setbeta Bool) % 0.39/0.75 (declare-const tptp.dsetconstrER Bool) % 0.39/0.75 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.75 (declare-const tptp.exuE2 Bool) % 0.39/0.75 (declare-const tptp.setadjoinIR Bool) % 0.39/0.75 (declare-const tptp.notinemptyset Bool) % 0.39/0.75 (declare-const tptp.foundationAx Bool) % 0.39/0.75 (declare-const tptp.setextAx Bool) % 0.39/0.75 (declare-const tptp.emptyE1 Bool) % 0.39/0.75 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.emptysetAx Bool) % 0.39/0.75 (declare-const tptp.dsetconstrEL Bool) % 0.39/0.75 (declare-const tptp.eqinunit Bool) % 0.39/0.75 (declare-const tptp.replAx Bool) % 0.39/0.75 (declare-const tptp.emptysetimpfalse Bool) % 0.39/0.75 (declare-const tptp.wellorderingAx Bool) % 0.39/0.75 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.39/0.75 (declare-const tptp.emptyinPowerset Bool) % 0.39/0.75 (declare-const tptp.exuE1 Bool) % 0.39/0.75 (declare-const tptp.descrp Bool) % 0.39/0.75 (declare-const tptp.dsetconstrI Bool) % 0.39/0.75 (declare-const tptp.singletonsswitch Bool) % 0.39/0.75 (declare-const tptp.omega $$unsorted) % 0.39/0.75 (declare-const tptp.exuE3e Bool) % 0.39/0.75 (declare-const tptp.prop2setE Bool) % 0.39/0.75 (declare-const tptp.setunionAx Bool) % 0.39/0.75 (declare-const tptp.emptysetE Bool) % 0.39/0.75 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.39/0.75 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.39/0.75 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.39/0.75 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.75 (define @t2 () (@var "A" $$unsorted)) % 0.39/0.75 (define @t3 () (= @t2 @t1)) % 0.39/0.75 (define @t4 () (@var "Xx" $$unsorted)) % 0.39/0.75 (define @t5 () (_ tptp.in @t4)) % 0.39/0.75 (define @t6 () (_ @t5 @t1)) % 0.39/0.75 (define @t7 () (_ @t5 @t2)) % 0.39/0.75 (define @t8 () (= @t7 @t6)) % 0.39/0.75 (define @t9 () (@list @t4)) % 0.39/0.75 (define @t10 () (forall @t9 @t8)) % 0.39/0.75 (define @t11 () (=> @t10 @t3)) % 0.39/0.75 (define @t12 () (@list @t2 @t1)) % 0.39/0.75 (define @t13 () (forall @t12 @t11)) % 0.39/0.75 (define @t14 () (= tptp.setextAx @t13)) % 0.39/0.75 (define @t15 () (_ @t5 tptp.emptyset)) % 0.39/0.75 (define @t16 () (not @t15)) % 0.39/0.75 (define @t17 () (forall @t9 @t16)) % 0.39/0.75 (define @t18 () (= tptp.emptysetAx @t17)) % 0.39/0.75 (define @t19 () (@var "Xy" $$unsorted)) % 0.39/0.75 (define @t20 () (_ tptp.in @t19)) % 0.39/0.75 (define @t21 () (_ @t20 @t2)) % 0.39/0.75 (define @t22 () (= @t19 @t4)) % 0.39/0.75 (define @t23 () (or @t22 @t21)) % 0.39/0.75 (define @t24 () (_ tptp.setadjoin @t4)) % 0.39/0.75 (define @t25 () (_ @t24 @t2)) % 0.39/0.75 (define @t26 () (_ @t20 @t25)) % 0.39/0.75 (define @t27 () (= @t26 @t23)) % 0.39/0.75 (define @t28 () (@list @t4 @t2 @t19)) % 0.39/0.75 (define @t29 () (forall @t28 @t27)) % 0.39/0.75 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.39/0.75 (define @t31 () (=> @t6 @t7)) % 0.39/0.75 (define @t32 () (forall @t9 @t31)) % 0.39/0.75 (define @t33 () (_ tptp.powerset @t2)) % 0.39/0.75 (define @t34 () (_ tptp.in @t1)) % 0.39/0.75 (define @t35 () (_ @t34 @t33)) % 0.39/0.75 (define @t36 () (= @t35 @t32)) % 0.39/0.75 (define @t37 () (forall @t12 @t36)) % 0.39/0.75 (define @t38 () (= tptp.powersetAx @t37)) % 0.39/0.75 (define @t39 () (_ @t34 @t2)) % 0.39/0.75 (define @t40 () (and @t6 @t39)) % 0.39/0.75 (define @t41 () (@list @t1)) % 0.39/0.75 (define @t42 () (exists @t41 @t40)) % 0.39/0.75 (define @t43 () (_ tptp.setunion @t2)) % 0.39/0.75 (define @t44 () (_ @t5 @t43)) % 0.39/0.75 (define @t45 () (= @t44 @t42)) % 0.39/0.75 (define @t46 () (@list @t2 @t4)) % 0.39/0.75 (define @t47 () (forall @t46 @t45)) % 0.39/0.75 (define @t48 () (= tptp.setunionAx @t47)) % 0.39/0.75 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.39/0.75 (define @t50 () (_ @t49 tptp.omega)) % 0.39/0.75 (define @t51 () (_ @t24 @t4)) % 0.39/0.75 (define @t52 () (_ tptp.in @t51)) % 0.39/0.75 (define @t53 () (_ @t52 tptp.omega)) % 0.39/0.75 (define @t54 () (_ @t5 tptp.omega)) % 0.39/0.75 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.39/0.75 (define @t56 () (= tptp.omegaSAx @t55)) % 0.39/0.75 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.39/0.75 (define @t58 () (_ @t52 @t2)) % 0.39/0.75 (define @t59 () (and @t54 @t7)) % 0.39/0.75 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.39/0.75 (define @t61 () (_ @t49 @t2)) % 0.39/0.75 (define @t62 () (and @t61 @t60)) % 0.39/0.75 (define @t63 () (=> @t62 @t57)) % 0.39/0.75 (define @t64 () (@list @t2)) % 0.39/0.75 (define @t65 () (forall @t64 @t63)) % 0.39/0.75 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.39/0.75 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.39/0.75 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.39/0.75 (define @t69 () (and @t21 @t68)) % 0.39/0.75 (define @t70 () (@list @t19)) % 0.39/0.75 (define @t71 () (exists @t70 @t69)) % 0.39/0.75 (define @t72 () (= @t6 @t71)) % 0.39/0.75 (define @t73 () (forall @t9 @t72)) % 0.39/0.75 (define @t74 () (exists @t41 @t73)) % 0.39/0.75 (define @t75 () (_ @t67 @t4)) % 0.39/0.75 (define @t76 () (_ @t75 @t19)) % 0.39/0.75 (define @t77 () (lambda @t70 @t76)) % 0.39/0.75 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.39/0.75 (define @t79 () (forall @t9 @t78)) % 0.39/0.75 (define @t80 () (=> @t79 @t74)) % 0.39/0.75 (define @t81 () (@list @t67 @t2)) % 0.39/0.75 (define @t82 () (forall @t81 @t80)) % 0.39/0.75 (define @t83 () (= tptp.replAx @t82)) % 0.39/0.75 (define @t84 () (and @t6 @t7)) % 0.39/0.75 (define @t85 () (exists @t9 @t84)) % 0.39/0.75 (define @t86 () (not @t85)) % 0.39/0.75 (define @t87 () (and @t39 @t86)) % 0.39/0.75 (define @t88 () (exists @t41 @t87)) % 0.39/0.75 (define @t89 () (exists @t9 @t7)) % 0.39/0.75 (define @t90 () (=> @t89 @t88)) % 0.39/0.75 (define @t91 () (forall @t64 @t90)) % 0.39/0.75 (define @t92 () (= tptp.foundationAx @t91)) % 0.39/0.75 (define @t93 () (@var "E" $$unsorted)) % 0.39/0.75 (define @t94 () (_ @t5 @t93)) % 0.39/0.75 (define @t95 () (@var "D" $$unsorted)) % 0.39/0.75 (define @t96 () (_ @t20 @t95)) % 0.39/0.75 (define @t97 () (_ @t20 @t93)) % 0.39/0.75 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.39/0.75 (define @t99 () (or @t98 @t94)) % 0.39/0.75 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.39/0.75 (define @t101 () (=> @t100 @t99)) % 0.39/0.75 (define @t102 () (@list @t93)) % 0.39/0.75 (define @t103 () (forall @t102 @t101)) % 0.39/0.75 (define @t104 () (@var "C" $$unsorted)) % 0.39/0.75 (define @t105 () (_ @t20 @t104)) % 0.39/0.75 (define @t106 () (and @t96 @t105)) % 0.39/0.75 (define @t107 () (exists @t70 @t106)) % 0.39/0.75 (define @t108 () (not @t107)) % 0.39/0.75 (define @t109 () (_ @t5 @t104)) % 0.39/0.75 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.39/0.75 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.39/0.75 (define @t112 () (@list @t95 @t4)) % 0.39/0.75 (define @t113 () (exists @t112 @t111)) % 0.39/0.75 (define @t114 () (exists @t9 @t109)) % 0.39/0.75 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.39/0.75 (define @t116 () (and @t115 @t114)) % 0.39/0.75 (define @t117 () (=> @t116 @t113)) % 0.39/0.75 (define @t118 () (@list @t104)) % 0.39/0.75 (define @t119 () (forall @t118 @t117)) % 0.39/0.75 (define @t120 () (_ @t5 @t95)) % 0.39/0.75 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.39/0.75 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.39/0.75 (define @t123 () (or @t122 @t121)) % 0.39/0.75 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.39/0.75 (define @t125 () (and @t124 @t110)) % 0.39/0.75 (define @t126 () (=> @t125 @t123)) % 0.39/0.75 (define @t127 () (@list @t104 @t95)) % 0.39/0.75 (define @t128 () (forall @t127 @t126)) % 0.39/0.75 (define @t129 () (= @t4 @t19)) % 0.39/0.75 (define @t130 () (= @t109 @t105)) % 0.39/0.75 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.39/0.75 (define @t132 () (=> @t131 @t129)) % 0.39/0.75 (define @t133 () (and @t7 @t21)) % 0.39/0.75 (define @t134 () (=> @t133 @t132)) % 0.39/0.75 (define @t135 () (@list @t4 @t19)) % 0.39/0.75 (define @t136 () (forall @t135 @t134)) % 0.39/0.75 (define @t137 () (=> @t124 @t115)) % 0.39/0.75 (define @t138 () (forall @t118 @t137)) % 0.39/0.75 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.39/0.75 (define @t140 () (exists @t41 @t139)) % 0.39/0.75 (define @t141 () (forall @t64 @t140)) % 0.39/0.75 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.39/0.75 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.39/0.75 (define @t144 () (_ @t143 @t4)) % 0.39/0.75 (define @t145 () (lambda @t9 @t144)) % 0.39/0.75 (define @t146 () (_ tptp.descr @t145)) % 0.39/0.75 (define @t147 () (_ @t143 @t146)) % 0.39/0.75 (define @t148 () (_ tptp.exu @t145)) % 0.39/0.75 (define @t149 () (=> @t148 @t147)) % 0.39/0.75 (define @t150 () (@list @t143)) % 0.39/0.75 (define @t151 () (forall @t150 @t149)) % 0.39/0.75 (define @t152 () (= tptp.descrp @t151)) % 0.39/0.75 (define @t153 () (_ @t143 @t19)) % 0.39/0.75 (define @t154 () (lambda @t70 @t153)) % 0.39/0.75 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.39/0.75 (define @t156 () (_ @t155 @t154)) % 0.39/0.75 (define @t157 () (_ @t5 @t156)) % 0.39/0.75 (define @t158 () (=> @t144 @t157)) % 0.39/0.75 (define @t159 () (@list @t2 @t143 @t4)) % 0.39/0.75 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.39/0.75 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.39/0.75 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.39/0.75 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.39/0.75 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.39/0.75 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.39/0.75 (define @t166 () (forall @t70 (=> @t153 @t129))) % 0.39/0.75 (define @t167 () (and @t144 @t166)) % 0.39/0.75 (define @t168 () (exists @t9 @t167)) % 0.39/0.75 (define @t169 () (=> @t148 @t168)) % 0.39/0.75 (define @t170 () (forall @t150 @t169)) % 0.39/0.75 (define @t171 () (= tptp.exuE1 @t170)) % 0.39/0.75 (define @t172 () (@var "Xphi" Bool)) % 0.39/0.75 (define @t173 () (=> (_ @t5 (_ tptp.prop2set @t172)) @t172)) % 0.39/0.75 (define @t174 () (@list @t172 @t4)) % 0.39/0.75 (define @t175 () (forall @t174 @t173)) % 0.39/0.75 (define @t176 () (= tptp.prop2setE @t175)) % 0.39/0.75 (define @t177 () (@list @t172)) % 0.39/0.75 (define @t178 () (forall @t177 @t172)) % 0.39/0.75 (define @t179 () (=> @t15 @t178)) % 0.39/0.75 (define @t180 () (forall @t9 @t179)) % 0.39/0.75 (define @t181 () (= tptp.emptysetE @t180)) % 0.39/0.75 (define @t182 () (forall @t9 (=> @t15 false))) % 0.39/0.75 (define @t183 () (= tptp.emptysetimpfalse @t182)) % 0.39/0.75 (define @t184 () (exists @t9 @t144)) % 0.39/0.75 (define @t185 () (=> @t148 @t184)) % 0.39/0.75 (define @t186 () (forall @t150 @t185)) % 0.39/0.75 (define @t187 () (= tptp.exuE3e @t186)) % 0.39/0.75 (define @t188 () (=> @t32 @t3)) % 0.39/0.75 (define @t189 () (forall @t9 (=> @t7 @t6))) % 0.39/0.75 (define @t190 () (=> @t189 @t188)) % 0.39/0.75 (define @t191 () (forall @t12 @t190)) % 0.39/0.75 (define @t192 () (= tptp.setext @t191)) % 0.39/0.75 (define @t193 () (= @t2 tptp.emptyset)) % 0.39/0.75 (define @t194 () (not @t7)) % 0.39/0.75 (define @t195 () (forall @t9 @t194)) % 0.39/0.75 (define @t196 () (=> @t195 @t193)) % 0.39/0.75 (define @t197 () (forall @t64 @t196)) % 0.39/0.75 (define @t198 () (= tptp.emptyI @t197)) % 0.39/0.75 (define @t199 () (=> @t7 (= @t157 @t144))) % 0.39/0.75 (define @t200 () (forall @t159 @t199)) % 0.39/0.75 (define @t201 () (= tptp.setbeta @t200)) % 0.39/0.75 (define @t202 () (_ tptp.nonempty @t2)) % 0.39/0.75 (define @t203 () (=> @t202 @t89)) % 0.39/0.75 (define @t204 () (forall @t64 @t203)) % 0.39/0.75 (define @t205 () (= tptp.nonemptyE1 @t204)) % 0.39/0.75 (define @t206 () (=> @t144 (_ tptp.nonempty @t156))) % 0.39/0.75 (define @t207 () (=> @t7 @t206)) % 0.39/0.75 (define @t208 () (forall @t159 @t207)) % 0.39/0.75 (define @t209 () (= tptp.nonemptyI @t208)) % 0.39/0.75 (define @t210 () (=> @t89 @t202)) % 0.39/0.75 (define @t211 () (forall @t64 @t210)) % 0.39/0.75 (define @t212 () (= tptp.nonemptyI1 @t211)) % 0.39/0.75 (define @t213 () (_ @t24 @t19)) % 0.39/0.75 (define @t214 () (_ @t5 @t213)) % 0.39/0.75 (define @t215 () (forall @t135 @t214)) % 0.39/0.75 (define @t216 () (= tptp.setadjoinIL @t215)) % 0.39/0.75 (define @t217 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.39/0.75 (define @t218 () (_ @t49 @t217)) % 0.39/0.75 (define @t219 () (forall @t28 (=> @t21 @t26))) % 0.39/0.75 (define @t220 () (= tptp.setadjoinIR @t219)) % 0.39/0.75 (define @t221 () (=> @t21 @t172)) % 0.39/0.75 (define @t222 () (=> @t221 @t172)) % 0.39/0.75 (define @t223 () (=> @t22 @t172)) % 0.39/0.75 (define @t224 () (=> @t223 @t222)) % 0.39/0.75 (define @t225 () (forall @t177 @t224)) % 0.39/0.75 (define @t226 () (=> @t26 @t225)) % 0.39/0.75 (define @t227 () (forall @t28 @t226)) % 0.39/0.75 (define @t228 () (= tptp.setadjoinE @t227)) % 0.39/0.75 (define @t229 () (=> @t26 @t23)) % 0.39/0.75 (define @t230 () (forall @t28 @t229)) % 0.39/0.75 (define @t231 () (= tptp.setadjoinOr @t230)) % 0.39/0.75 (define @t232 () (lambda @t9 true)) % 0.39/0.75 (define @t233 () (= (_ @t155 @t232) @t2)) % 0.39/0.75 (define @t234 () (forall @t64 @t233)) % 0.39/0.75 (define @t235 () (= tptp.setoftrueEq @t234)) % 0.39/0.75 (define @t236 () (=> @t32 @t35)) % 0.39/0.75 (define @t237 () (forall @t12 @t236)) % 0.39/0.75 (define @t238 () (= tptp.powersetI @t237)) % 0.39/0.75 (define @t239 () (_ @t49 @t33)) % 0.39/0.75 (define @t240 () (forall @t64 @t239)) % 0.39/0.75 (define @t241 () (= tptp.emptyinPowerset @t240)) % 0.39/0.75 (define @t242 () (@list @t2 @t1 @t4)) % 0.39/0.75 (define @t243 () (forall @t242 (=> @t35 @t31))) % 0.39/0.75 (define @t244 () (= tptp.powersetE @t243)) % 0.39/0.75 (define @t245 () (=> @t39 @t44)) % 0.39/0.75 (define @t246 () (@list @t2 @t4 @t1)) % 0.39/0.75 (define @t247 () (forall @t246 (=> @t6 @t245))) % 0.39/0.75 (define @t248 () (= tptp.setunionI @t247)) % 0.39/0.75 (define @t249 () (=> @t39 @t172)) % 0.39/0.75 (define @t250 () (forall @t41 (=> @t6 @t249))) % 0.39/0.75 (define @t251 () (=> @t250 @t172)) % 0.39/0.75 (define @t252 () (forall @t177 @t251)) % 0.39/0.75 (define @t253 () (=> @t44 @t252)) % 0.39/0.75 (define @t254 () (forall @t46 @t253)) % 0.39/0.75 (define @t255 () (= tptp.setunionE @t254)) % 0.39/0.75 (define @t256 () (_ tptp.powerset @t43)) % 0.39/0.75 (define @t257 () (_ @t5 @t256)) % 0.39/0.75 (define @t258 () (forall @t46 (=> @t7 @t257))) % 0.39/0.75 (define @t259 () (= tptp.subPowSU @t258)) % 0.39/0.75 (define @t260 () (= @t153 @t22)) % 0.39/0.75 (define @t261 () (forall @t70 @t260)) % 0.39/0.75 (define @t262 () (exists @t9 @t261)) % 0.39/0.75 (define @t263 () (=> @t148 @t262)) % 0.39/0.75 (define @t264 () (forall @t150 @t263)) % 0.39/0.75 (define @t265 () (= tptp.exuE2 @t264)) % 0.39/0.75 (define @t266 () (and @t7 true)) % 0.39/0.75 (define @t267 () (exists @t9 @t266)) % 0.39/0.75 (define @t268 () (=> @t202 @t267)) % 0.39/0.75 (define @t269 () (forall @t64 @t268)) % 0.39/0.75 (define @t270 () (= tptp.nonemptyImpWitness @t269)) % 0.39/0.75 (define @t271 () (_ (_ tptp.setadjoin @t19) tptp.emptyset)) % 0.39/0.75 (define @t272 () (_ @t5 @t271)) % 0.39/0.75 (define @t273 () (forall @t135 (=> @t272 @t129))) % 0.39/0.75 (define @t274 () (= tptp.uniqinunit @t273)) % 0.39/0.75 (define @t275 () (_ @t24 tptp.emptyset)) % 0.39/0.75 (define @t276 () (_ @t20 @t275)) % 0.39/0.75 (define @t277 () (not @t276)) % 0.39/0.75 (define @t278 () (not @t129)) % 0.39/0.75 (define @t279 () (forall @t135 (=> @t278 @t277))) % 0.39/0.75 (define @t280 () (= tptp.notinsingleton @t279)) % 0.39/0.75 (define @t281 () (forall @t135 (=> @t129 @t272))) % 0.39/0.75 (define @t282 () (= tptp.eqinunit @t281)) % 0.39/0.75 (define @t283 () (forall @t135 (=> @t272 @t276))) % 0.39/0.75 (define @t284 () (= tptp.singletonsswitch @t283)) % 0.39/0.75 (define @t285 () (@var "Xz" $$unsorted)) % 0.39/0.75 (define @t286 () (or (= @t285 @t4) (= @t285 @t19))) % 0.39/0.75 (define @t287 () (_ @t24 @t271)) % 0.39/0.75 (define @t288 () (_ tptp.in @t285)) % 0.39/0.75 (define @t289 () (_ @t288 @t287)) % 0.39/0.75 (define @t290 () (=> @t289 @t286)) % 0.39/0.75 (define @t291 () (@list @t4 @t19 @t285)) % 0.39/0.75 (define @t292 () (forall @t291 @t290)) % 0.39/0.75 (define @t293 () (= tptp.upairsetE @t292)) % 0.39/0.75 (define @t294 () (_ @t5 @t287)) % 0.39/0.75 (define @t295 () (forall @t135 @t294)) % 0.39/0.75 (define @t296 () (= tptp.upairsetIL @t295)) % 0.39/0.75 (define @t297 () (_ @t20 @t287)) % 0.39/0.75 (define @t298 () (forall @t135 @t297)) % 0.39/0.75 (define @t299 () (= tptp.upairsetIR @t298)) % 0.39/0.75 (define @t300 () (_ @t155 @t145)) % 0.39/0.75 (define @t301 () (= @t300 tptp.emptyset)) % 0.39/0.75 (define @t302 () (and @t7 @t144)) % 0.39/0.75 (define @t303 () (exists @t9 @t302)) % 0.39/0.75 (define @t304 () (=> @t303 (=> @t301 false))) % 0.39/0.75 (define @t305 () (@list @t2 @t143)) % 0.39/0.75 (define @t306 () (forall @t305 @t304)) % 0.39/0.75 (define @t307 () (= tptp.emptyE1 @t306)) % 0.39/0.75 (define @t308 () (@list @t143 @t4)) % 0.39/0.75 (define @t309 () (forall @t308 (=> @t15 @t144))) % 0.39/0.75 (define @t310 () (=> tptp.emptyE1 @t309)) % 0.39/0.75 (define @t311 () (=> tptp.upairsetIR @t310)) % 0.39/0.75 (define @t312 () (=> tptp.upairsetIL @t311)) % 0.39/0.75 (define @t313 () (=> tptp.upairsetE @t312)) % 0.39/0.75 (define @t314 () (=> tptp.singletonsswitch @t313)) % 0.39/0.75 (define @t315 () (=> tptp.eqinunit @t314)) % 0.39/0.75 (define @t316 () (=> tptp.notinsingleton @t315)) % 0.39/0.75 (define @t317 () (=> tptp.uniqinunit @t316)) % 0.39/0.75 (define @t318 () (=> tptp.nonemptyImpWitness @t317)) % 0.39/0.75 (define @t319 () (=> tptp.exuE2 @t318)) % 0.39/0.75 (define @t320 () (=> tptp.subPowSU @t319)) % 0.39/0.75 (define @t321 () (=> tptp.setunionE @t320)) % 0.39/0.75 (define @t322 () (=> tptp.setunionI @t321)) % 0.39/0.75 (define @t323 () (=> tptp.powersetE @t322)) % 0.39/0.75 (define @t324 () (=> tptp.emptyInPowerset @t323)) % 0.39/0.75 (define @t325 () (=> tptp.emptyinPowerset @t324)) % 0.39/0.75 (define @t326 () (=> tptp.powersetI @t325)) % 0.39/0.75 (define @t327 () (=> tptp.setoftrueEq @t326)) % 0.39/0.75 (define @t328 () (=> tptp.setadjoinOr @t327)) % 0.39/0.75 (define @t329 () (=> tptp.setadjoinE @t328)) % 0.39/0.75 (define @t330 () (=> tptp.setadjoinIR @t329)) % 0.39/0.75 (define @t331 () (=> tptp.emptyinunitempty @t330)) % 0.39/0.75 (define @t332 () (=> tptp.setadjoinIL @t331)) % 0.39/0.75 (define @t333 () (=> tptp.nonemptyI1 @t332)) % 0.39/0.75 (define @t334 () (=> tptp.nonemptyI @t333)) % 0.39/0.75 (define @t335 () (=> tptp.nonemptyE1 @t334)) % 0.39/0.75 (define @t336 () (=> tptp.setbeta @t335)) % 0.39/0.75 (define @t337 () (=> tptp.noeltsimpempty @t336)) % 0.39/0.75 (define @t338 () (=> tptp.emptyI @t337)) % 0.39/0.75 (define @t339 () (=> tptp.setext @t338)) % 0.39/0.75 (define @t340 () (=> tptp.exuE3e @t339)) % 0.39/0.75 (define @t341 () (=> tptp.notinemptyset @t340)) % 0.39/0.75 (define @t342 () (=> tptp.emptysetimpfalse @t341)) % 0.39/0.75 (define @t343 () (=> tptp.emptysetE @t342)) % 0.39/0.75 (define @t344 () (=> tptp.prop2setE @t343)) % 0.39/0.75 (define @t345 () (=> tptp.exuE1 @t344)) % 0.39/0.75 (define @t346 () (=> tptp.dsetconstrER @t345)) % 0.39/0.75 (define @t347 () (=> tptp.dsetconstrEL @t346)) % 0.39/0.75 (define @t348 () (=> tptp.dsetconstrI @t347)) % 0.39/0.75 (define @t349 () (=> tptp.descrp @t348)) % 0.39/0.75 (define @t350 () (=> tptp.wellorderingAx @t349)) % 0.39/0.75 (define @t351 () (=> tptp.foundationAx @t350)) % 0.39/0.75 (define @t352 () (=> tptp.replAx @t351)) % 0.39/0.75 (define @t353 () (=> tptp.omegaIndAx @t352)) % 0.39/0.75 (define @t354 () (=> tptp.omegaSAx @t353)) % 0.39/0.75 (define @t355 () (=> tptp.omega0Ax @t354)) % 0.39/0.75 (define @t356 () (=> tptp.setunionAx @t355)) % 0.39/0.75 (define @t357 () (=> tptp.powersetAx @t356)) % 0.39/0.75 (define @t358 () (=> tptp.setadjoinAx @t357)) % 0.39/0.75 (define @t359 () (=> tptp.emptysetAx @t358)) % 0.39/0.75 (define @t360 () (=> tptp.setextAx @t359)) % 0.39/0.75 (define @t361 () (not @t360)) % 0.39/0.75 (define @t362 () (lambda @t150 @t168)) % 0.39/0.75 (define @t363 () (lambda @t9 @t172)) % 0.39/0.75 (define @t364 () (_ tptp.powerset tptp.emptyset)) % 0.39/0.75 (define @t365 () (_ tptp.dsetconstr @t364)) % 0.39/0.75 (define @t366 () (_ @t365 @t363)) % 0.39/0.75 (define @t367 () (lambda @t177 @t366)) % 0.39/0.75 (define @t368 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.39/0.75 (define @t369 () (_ @t143 @t4)) % 0.39/0.75 (define @t370 () (tptp.in @t4 tptp.emptyset)) % 0.39/0.75 (define @t371 () (not @t370)) % 0.39/0.75 (define @t372 () (forall @t308 (or @t371 @t369))) % 0.39/0.75 (define @t373 () (@var "BOUND_VARIABLE_8879" $$unsorted)) % 0.39/0.75 (define @t374 () (not (_ @t143 @t373))) % 0.39/0.75 (define @t375 () (not (tptp.in @t373 @t2))) % 0.39/0.75 (define @t376 () (tptp.dsetconstr @t2 @t143)) % 0.39/0.75 (define @t377 () (not (= tptp.emptyset @t376))) % 0.39/0.75 (define @t378 () (or @t377 @t375 @t374)) % 0.39/0.75 (define @t379 () (@list @t2 @t143 @t373)) % 0.39/0.75 (define @t380 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.39/0.75 (define @t381 () (tptp.setadjoin @t4 @t380)) % 0.39/0.75 (define @t382 () (tptp.in @t19 @t381)) % 0.39/0.75 (define @t383 () (tptp.in @t4 @t381)) % 0.39/0.75 (define @t384 () (= @t19 @t285)) % 0.39/0.75 (define @t385 () (= @t4 @t285)) % 0.39/0.75 (define @t386 () (tptp.in @t285 @t381)) % 0.39/0.75 (define @t387 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.39/0.75 (define @t388 () (tptp.in @t19 @t387)) % 0.39/0.75 (define @t389 () (tptp.in @t4 @t380)) % 0.39/0.75 (define @t390 () (not @t389)) % 0.39/0.75 (define @t391 () (tptp.in @t19 @t380)) % 0.39/0.75 (define @t392 () (tptp.in @t4 @t2)) % 0.39/0.75 (define @t393 () (not @t392)) % 0.39/0.75 (define @t394 () (forall @t9 @t393)) % 0.39/0.75 (define @t395 () (not @t394)) % 0.39/0.75 (define @t396 () (forall @t64 (or @t193 @t395))) % 0.39/0.75 (define @t397 () (@var "BOUND_VARIABLE_8763" $$unsorted)) % 0.39/0.75 (define @t398 () (_ @t143 @t19)) % 0.39/0.75 (define @t399 () (not @t398)) % 0.39/0.75 (define @t400 () (not (_ @t143 @t397))) % 0.39/0.75 (define @t401 () (forall @t70 (= @t129 @t398))) % 0.39/0.75 (define @t402 () (not (forall @t9 (not @t401)))) % 0.39/0.75 (define @t403 () (@list @t143 @t397)) % 0.39/0.75 (define @t404 () (tptp.setunion @t2)) % 0.39/0.75 (define @t405 () (tptp.powerset @t404)) % 0.39/0.75 (define @t406 () (tptp.in @t4 @t405)) % 0.39/0.75 (define @t407 () (tptp.in @t1 @t2)) % 0.39/0.75 (define @t408 () (not @t407)) % 0.39/0.75 (define @t409 () (tptp.in @t4 @t1)) % 0.39/0.75 (define @t410 () (not @t409)) % 0.39/0.75 (define @t411 () (forall @t41 (or @t410 @t408))) % 0.39/0.75 (define @t412 () (not @t411)) % 0.39/0.75 (define @t413 () (tptp.in @t4 @t404)) % 0.39/0.75 (define @t414 () (tptp.powerset @t2)) % 0.39/0.75 (define @t415 () (tptp.in @t1 @t414)) % 0.39/0.75 (define @t416 () (tptp.in tptp.emptyset @t414)) % 0.39/0.75 (define @t417 () (forall @t64 @t416)) % 0.39/0.75 (define @t418 () (forall @t9 (or @t410 @t392))) % 0.39/0.75 (define @t419 () (not @t418)) % 0.39/0.75 (define @t420 () (@var "BOUND_VARIABLE_16334" $$unsorted)) % 0.39/0.75 (define @t421 () (lambda (@list @t420) true)) % 0.39/0.75 (define @t422 () (tptp.dsetconstr @t2 @t421)) % 0.39/0.75 (define @t423 () (tptp.in @t19 @t2)) % 0.39/0.75 (define @t424 () (tptp.setadjoin @t4 @t2)) % 0.39/0.75 (define @t425 () (tptp.in @t19 @t424)) % 0.39/0.75 (define @t426 () (forall @t28 (or (not @t425) @t129 @t423))) % 0.39/0.75 (define @t427 () (not @t423)) % 0.39/0.75 (define @t428 () (=> (forall @t28 (or @t427 @t425)) (=> @t426 (=> @t426 (=> (forall @t64 (= @t2 @t422)) (=> (forall @t12 (or @t419 @t415)) (=> @t417 (=> @t417 (=> (forall @t242 (or (not @t415) @t410 @t392)) (=> (forall @t246 (or @t410 @t408 @t413)) (=> (forall @t46 (or (not @t413) @t412)) (=> (forall @t46 (or @t393 @t406)) (=> (forall @t403 (or @t402 @t400 (not (forall @t70 (or @t399 (= @t19 @t397)))))) (=> @t396 (=> (forall @t135 (or @t390 @t129)) (=> (forall @t135 (or @t129 (not @t388))) (=> (forall @t70 @t391) (=> (forall @t135 (or @t390 @t388)) (=> (forall @t291 (or (not @t386) @t385 @t384)) (=> (forall @t135 @t383) (=> (forall @t135 @t382) (=> (forall @t379 @t378) @t372)))))))))))))))))))))) % 0.39/0.75 (define @t429 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.39/0.75 (define @t430 () (tptp.in tptp.emptyset @t429)) % 0.39/0.75 (define @t431 () (=> @t218 @t428)) % 0.39/0.75 (define @t432 () (tptp.setadjoin @t4 @t19)) % 0.39/0.75 (define @t433 () (tptp.in @t4 @t432)) % 0.39/0.75 (define @t434 () (forall @t135 @t433)) % 0.39/0.75 (define @t435 () (=> @t434 @t431)) % 0.39/0.75 (define @t436 () (@var "BOUND_VARIABLE_8604" $$unsorted)) % 0.39/0.75 (define @t437 () (not (tptp.in @t436 tptp.emptyset))) % 0.39/0.75 (define @t438 () (@list @t436)) % 0.39/0.75 (define @t439 () (forall @t438 @t437)) % 0.39/0.75 (define @t440 () (=> @t439 @t435)) % 0.39/0.75 (define @t441 () (not @t369)) % 0.39/0.75 (define @t442 () (forall @t159 (or @t393 @t441 @t377))) % 0.39/0.75 (define @t443 () (=> @t442 @t440)) % 0.39/0.75 (define @t444 () (=> @t396 @t443)) % 0.39/0.75 (define @t445 () (tptp.in @t4 @t376)) % 0.39/0.75 (define @t446 () (forall @t159 (or @t393 (= @t369 @t445)))) % 0.39/0.75 (define @t447 () (=> @t446 @t444)) % 0.39/0.75 (define @t448 () (forall @t64 (or @t395 @t193))) % 0.39/0.75 (define @t449 () (=> @t448 @t447)) % 0.39/0.75 (define @t450 () (=> @t448 @t449)) % 0.39/0.75 (define @t451 () (forall @t9 (or @t393 @t409))) % 0.39/0.75 (define @t452 () (not @t451)) % 0.39/0.75 (define @t453 () (or @t452 @t419 @t3)) % 0.39/0.75 (define @t454 () (forall @t12 @t453)) % 0.39/0.75 (define @t455 () (=> @t454 @t450)) % 0.39/0.75 (define @t456 () (@var "BOUND_VARIABLE_8501" $$unsorted)) % 0.39/0.75 (define @t457 () (not (_ @t143 @t456))) % 0.39/0.75 (define @t458 () (not (forall @t9 @t441))) % 0.39/0.75 (define @t459 () (@list @t143 @t456)) % 0.39/0.75 (define @t460 () (forall @t459 (or @t458 @t457 (not (forall @t70 (or @t399 (= @t19 @t456))))))) % 0.39/0.75 (define @t461 () (=> @t460 @t455)) % 0.39/0.75 (define @t462 () (forall @t9 @t371)) % 0.39/0.75 (define @t463 () (=> @t462 @t461)) % 0.39/0.75 (define @t464 () (=> @t462 @t463)) % 0.39/0.75 (define @t465 () (=> @t462 @t464)) % 0.39/0.75 (define @t466 () (@var "BOUND_VARIABLE_15828" $$unsorted)) % 0.39/0.75 (define @t467 () (lambda (@list @t466) false)) % 0.39/0.75 (define @t468 () (tptp.powerset tptp.emptyset)) % 0.39/0.75 (define @t469 () (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t468 @t467))))) % 0.39/0.75 (define @t470 () (=> @t469 @t465)) % 0.39/0.75 (define @t471 () (not @t445)) % 0.39/0.75 (define @t472 () (forall @t159 (or @t471 @t369))) % 0.39/0.75 (define @t473 () (=> @t472 @t470)) % 0.39/0.75 (define @t474 () (forall @t159 (or @t471 @t392))) % 0.39/0.75 (define @t475 () (=> @t474 @t473)) % 0.39/0.75 (define @t476 () (forall @t159 (or @t393 @t441 @t445))) % 0.39/0.75 (define @t477 () (=> @t476 @t475)) % 0.39/0.75 (define @t478 () (@var "BOUND_VARIABLE_8372" $$unsorted)) % 0.39/0.75 (define @t479 () (not (_ @t143 @t478))) % 0.39/0.75 (define @t480 () (_ @t143 (tptp.descr @t143))) % 0.39/0.75 (define @t481 () (@list @t143 @t478)) % 0.39/0.75 (define @t482 () (forall @t481 (or @t480 @t479 (not (forall @t70 (or @t399 (= @t19 @t478))))))) % 0.39/0.75 (define @t483 () (=> @t482 @t477)) % 0.39/0.75 (define @t484 () (@var "BOUND_VARIABLE_8292" $$unsorted)) % 0.39/0.75 (define @t485 () (tptp.in @t484 @t95)) % 0.39/0.75 (define @t486 () (not (tptp.in @t484 @t93))) % 0.39/0.75 (define @t487 () (tptp.in @t4 @t93)) % 0.39/0.75 (define @t488 () (tptp.in @t93 @t1)) % 0.39/0.75 (define @t489 () (not @t488)) % 0.39/0.75 (define @t490 () (or @t489 @t487 @t486 @t485)) % 0.39/0.75 (define @t491 () (@list @t93 @t484)) % 0.39/0.75 (define @t492 () (forall @t491 @t490)) % 0.39/0.75 (define @t493 () (not @t492)) % 0.39/0.75 (define @t494 () (tptp.in @t19 @t104)) % 0.39/0.75 (define @t495 () (tptp.in @t19 @t95)) % 0.39/0.75 (define @t496 () (forall @t70 (or (not @t495) (not @t494)))) % 0.39/0.75 (define @t497 () (not @t496)) % 0.39/0.75 (define @t498 () (tptp.in @t4 @t104)) % 0.39/0.75 (define @t499 () (not @t498)) % 0.39/0.75 (define @t500 () (tptp.in @t95 @t1)) % 0.39/0.75 (define @t501 () (not @t500)) % 0.39/0.75 (define @t502 () (not (forall @t112 (or @t501 @t499 @t497 @t493)))) % 0.39/0.75 (define @t503 () (@var "BOUND_VARIABLE_8321" $$unsorted)) % 0.39/0.75 (define @t504 () (not (tptp.in @t503 @t104))) % 0.39/0.75 (define @t505 () (forall @t9 (or @t499 @t392))) % 0.39/0.75 (define @t506 () (not @t505)) % 0.39/0.75 (define @t507 () (or @t506 @t504 @t502)) % 0.39/0.75 (define @t508 () (forall (@list @t104 @t503) @t507)) % 0.39/0.75 (define @t509 () (not @t508)) % 0.39/0.75 (define @t510 () (@var "BOUND_VARIABLE_8244" $$unsorted)) % 0.39/0.75 (define @t511 () (tptp.in @t510 @t104)) % 0.39/0.75 (define @t512 () (not (tptp.in @t510 @t95))) % 0.39/0.75 (define @t513 () (@var "BOUND_VARIABLE_8238" $$unsorted)) % 0.39/0.75 (define @t514 () (tptp.in @t513 @t95)) % 0.39/0.75 (define @t515 () (not (tptp.in @t513 @t104))) % 0.39/0.75 (define @t516 () (tptp.in @t104 @t1)) % 0.39/0.75 (define @t517 () (not @t516)) % 0.39/0.75 (define @t518 () (or @t517 @t501 @t515 @t514 @t512 @t511)) % 0.39/0.75 (define @t519 () (@list @t104 @t95 @t513 @t510)) % 0.39/0.75 (define @t520 () (forall @t519 @t518)) % 0.39/0.75 (define @t521 () (not @t520)) % 0.39/0.75 (define @t522 () (forall @t118 (or @t517 (= @t498 @t494)))) % 0.39/0.75 (define @t523 () (not @t522)) % 0.39/0.75 (define @t524 () (forall @t135 (or @t393 @t427 @t523 @t129))) % 0.39/0.75 (define @t525 () (not @t524)) % 0.39/0.75 (define @t526 () (@var "BOUND_VARIABLE_8187" $$unsorted)) % 0.39/0.75 (define @t527 () (tptp.in @t526 @t2)) % 0.39/0.75 (define @t528 () (not (tptp.in @t526 @t104))) % 0.39/0.75 (define @t529 () (or @t517 @t528 @t527)) % 0.39/0.75 (define @t530 () (@list @t104 @t526)) % 0.39/0.75 (define @t531 () (forall @t530 @t529)) % 0.39/0.75 (define @t532 () (not @t531)) % 0.39/0.75 (define @t533 () (or @t532 @t525 @t521 @t509)) % 0.39/0.75 (define @t534 () (forall @t64 (not (forall @t41 @t533)))) % 0.39/0.75 (define @t535 () (=> @t534 @t483)) % 0.39/0.75 (define @t536 () (forall @t9 (or @t410 @t393))) % 0.39/0.75 (define @t537 () (not @t536)) % 0.39/0.75 (define @t538 () (not (forall @t41 (or @t408 @t537)))) % 0.39/0.75 (define @t539 () (@var "BOUND_VARIABLE_8162" $$unsorted)) % 0.39/0.75 (define @t540 () (not (tptp.in @t539 @t2))) % 0.39/0.75 (define @t541 () (or @t540 @t538)) % 0.39/0.75 (define @t542 () (forall (@list @t2 @t539) @t541)) % 0.39/0.75 (define @t543 () (=> @t542 @t535)) % 0.39/0.75 (define @t544 () (_ @t67 @t19 @t4)) % 0.39/0.75 (define @t545 () (not (forall @t70 (or @t427 (not @t544))))) % 0.39/0.75 (define @t546 () (forall @t9 (= @t409 @t545))) % 0.39/0.75 (define @t547 () (not (forall @t41 (not @t546)))) % 0.39/0.75 (define @t548 () (@var "BOUND_VARIABLE_8052" $$unsorted)) % 0.39/0.75 (define @t549 () (= @t19 @t548)) % 0.39/0.75 (define @t550 () (_ @t67 @t4 @t19)) % 0.39/0.75 (define @t551 () (not (forall @t70 (or (not @t550) @t549)))) % 0.39/0.75 (define @t552 () (_ @t67 @t4 @t548)) % 0.39/0.75 (define @t553 () (@list @t548)) % 0.39/0.75 (define @t554 () (not (forall @t553 (or (not @t552) @t551)))) % 0.39/0.75 (define @t555 () (forall @t9 (or @t393 @t554))) % 0.39/0.75 (define @t556 () (forall @t81 (or (not @t555) @t547))) % 0.39/0.75 (define @t557 () (=> @t556 @t543)) % 0.39/0.75 (define @t558 () (@var "BOUND_VARIABLE_8033" $$unsorted)) % 0.39/0.75 (define @t559 () (tptp.in @t558 @t2)) % 0.39/0.75 (define @t560 () (not (tptp.in @t558 tptp.omega))) % 0.39/0.75 (define @t561 () (tptp.setadjoin @t4 @t4)) % 0.39/0.75 (define @t562 () (tptp.in @t561 @t2)) % 0.39/0.75 (define @t563 () (tptp.in @t4 tptp.omega)) % 0.39/0.75 (define @t564 () (not @t563)) % 0.39/0.75 (define @t565 () (forall @t9 (or @t564 @t393 @t562))) % 0.39/0.75 (define @t566 () (not @t565)) % 0.39/0.75 (define @t567 () (tptp.in tptp.emptyset @t2)) % 0.39/0.75 (define @t568 () (not @t567)) % 0.39/0.75 (define @t569 () (or @t568 @t566 @t560 @t559)) % 0.39/0.75 (define @t570 () (@list @t2 @t558)) % 0.39/0.75 (define @t571 () (forall @t570 @t569)) % 0.39/0.75 (define @t572 () (=> @t571 @t557)) % 0.39/0.75 (define @t573 () (tptp.in @t561 tptp.omega)) % 0.39/0.75 (define @t574 () (forall @t9 (or @t564 @t573))) % 0.39/0.75 (define @t575 () (=> @t574 @t572)) % 0.39/0.75 (define @t576 () (tptp.in tptp.emptyset tptp.omega)) % 0.39/0.75 (define @t577 () (=> @t50 @t575)) % 0.39/0.75 (define @t578 () (forall @t46 (= @t412 @t413))) % 0.39/0.75 (define @t579 () (=> @t578 @t577)) % 0.39/0.75 (define @t580 () (forall @t12 (= @t418 @t415))) % 0.39/0.75 (define @t581 () (=> @t580 @t579)) % 0.39/0.75 (define @t582 () (or @t129 @t423)) % 0.39/0.75 (define @t583 () (forall @t28 (= @t425 @t582))) % 0.39/0.75 (define @t584 () (=> @t583 @t581)) % 0.39/0.75 (define @t585 () (=> @t462 @t584)) % 0.39/0.75 (define @t586 () (forall @t9 (= @t392 @t409))) % 0.39/0.75 (define @t587 () (forall @t12 (or (not @t586) @t3))) % 0.39/0.75 (define @t588 () (=> @t587 @t585)) % 0.39/0.75 (define @t589 () (=> @t472 (=> true @t470))) % 0.39/0.75 (define @t590 () (=> @t474 @t589)) % 0.39/0.75 (define @t591 () (=> @t476 @t590)) % 0.39/0.75 (define @t592 () (=> @t482 @t591)) % 0.39/0.75 (define @t593 () (=> @t534 @t592)) % 0.39/0.75 (define @t594 () (=> @t542 @t593)) % 0.39/0.75 (define @t595 () (=> @t556 @t594)) % 0.39/0.75 (define @t596 () (=> @t571 @t595)) % 0.39/0.75 (define @t597 () (=> @t574 @t596)) % 0.39/0.75 (define @t598 () (=> @t50 @t597)) % 0.39/0.75 (define @t599 () (=> @t578 @t598)) % 0.39/0.75 (define @t600 () (=> @t580 @t599)) % 0.39/0.75 (define @t601 () (=> @t583 @t600)) % 0.39/0.75 (define @t602 () (=> @t462 @t601)) % 0.39/0.75 (define @t603 () (=> @t587 @t602)) % 0.39/0.75 (define @t604 () (or @t375 @t374)) % 0.39/0.75 (define @t605 () (or @t604 @t377)) % 0.39/0.75 (define @t606 () (forall @t379 @t605)) % 0.39/0.75 (define @t607 () (@list @t373)) % 0.39/0.75 (define @t608 () (forall @t607 @t605)) % 0.39/0.75 (define @t609 () (forall @t607 @t604)) % 0.39/0.75 (define @t610 () (@list @t4)) % 0.39/0.75 (define @t611 () (or @t609 @t377)) % 0.39/0.75 (define @t612 () (forall @t9 (or @t393 @t441))) % 0.39/0.75 (define @t613 () (lambda @t9 @t369)) % 0.39/0.75 (define @t614 () (tptp.dsetconstr @t2 @t613)) % 0.39/0.75 (define @t615 () (= tptp.emptyset @t614)) % 0.39/0.75 (define @t616 () (not @t615)) % 0.39/0.75 (define @t617 () (or @t612 @t616)) % 0.39/0.75 (define @t618 () (= tptp.emptyset @t300)) % 0.39/0.75 (define @t619 () (not @t618)) % 0.39/0.75 (define @t620 () (or @t612 @t619)) % 0.39/0.75 (define @t621 () (not @t612)) % 0.39/0.75 (define @t622 () (not @t144)) % 0.39/0.75 (define @t623 () (or @t194 @t622)) % 0.39/0.75 (define @t624 () (forall @t9 (not @t302))) % 0.39/0.75 (define @t625 () (not @t624)) % 0.39/0.75 (define @t626 () (=> tptp.emptyE1 @t372)) % 0.39/0.75 (define @t627 () (=> tptp.upairsetIR @t626)) % 0.39/0.75 (define @t628 () (=> tptp.upairsetIL @t627)) % 0.39/0.75 (define @t629 () (not @t289)) % 0.39/0.75 (define @t630 () (or @t629 @t385 @t384)) % 0.39/0.75 (define @t631 () (or @t385 @t384)) % 0.39/0.75 (define @t632 () (=> tptp.upairsetE @t628)) % 0.39/0.75 (define @t633 () (not @t272)) % 0.39/0.75 (define @t634 () (or @t633 @t276)) % 0.39/0.75 (define @t635 () (=> tptp.singletonsswitch @t632)) % 0.39/0.75 (define @t636 () (not (= @t19 @t19))) % 0.39/0.75 (define @t637 () (or @t636 @t391)) % 0.39/0.75 (define @t638 () (or @t278 @t278 @t389)) % 0.39/0.75 (define @t639 () (or @t278 @t389)) % 0.39/0.75 (define @t640 () (forall @t9 @t639)) % 0.39/0.75 (define @t641 () (forall @t70 @t640)) % 0.39/0.75 (define @t642 () (forall (@list @t19 @t4) @t639)) % 0.39/0.75 (define @t643 () (or @t278 @t272)) % 0.39/0.75 (define @t644 () (=> tptp.eqinunit @t635)) % 0.39/0.75 (define @t645 () (or @t129 @t277)) % 0.39/0.75 (define @t646 () (=> tptp.notinsingleton @t644)) % 0.39/0.75 (define @t647 () (or @t633 @t129)) % 0.39/0.75 (define @t648 () (=> tptp.uniqinunit @t646)) % 0.39/0.75 (define @t649 () (not @t193)) % 0.39/0.75 (define @t650 () (not @t195)) % 0.39/0.75 (define @t651 () (_ @t368 @t2)) % 0.39/0.75 (define @t652 () (=> @t651 @t267)) % 0.39/0.75 (define @t653 () (forall @t64 @t652)) % 0.39/0.75 (define @t654 () (=> tptp.nonemptyImpWitness @t648)) % 0.39/0.75 (define @t655 () (or @t399 (= @t397 @t19))) % 0.39/0.75 (define @t656 () (forall @t70 @t655)) % 0.39/0.75 (define @t657 () (not @t656)) % 0.39/0.75 (define @t658 () (or @t402 @t400 @t657)) % 0.39/0.75 (define @t659 () (or @t400 @t657)) % 0.39/0.75 (define @t660 () (or @t659 @t402)) % 0.39/0.75 (define @t661 () (forall @t403 @t660)) % 0.39/0.75 (define @t662 () (@list @t397)) % 0.39/0.75 (define @t663 () (forall @t662 @t660)) % 0.39/0.75 (define @t664 () (forall @t662 @t659)) % 0.39/0.75 (define @t665 () (or @t664 @t402)) % 0.39/0.75 (define @t666 () (forall @t70 (or @t399 @t129))) % 0.39/0.75 (define @t667 () (not @t666)) % 0.39/0.75 (define @t668 () (forall @t9 (or @t441 @t667))) % 0.39/0.75 (define @t669 () (not @t668)) % 0.39/0.75 (define @t670 () (not @t669)) % 0.39/0.75 (define @t671 () (= @t153 @t129)) % 0.39/0.75 (define @t672 () (or @t622 @t667)) % 0.39/0.75 (define @t673 () (not @t153)) % 0.39/0.75 (define @t674 () (or @t673 @t129)) % 0.39/0.75 (define @t675 () (_ @t145 @t19)) % 0.39/0.75 (define @t676 () (not @t675)) % 0.39/0.75 (define @t677 () (or @t676 @t129)) % 0.39/0.75 (define @t678 () (forall @t70 @t677)) % 0.39/0.75 (define @t679 () (not @t678)) % 0.39/0.75 (define @t680 () (_ @t145 @t4)) % 0.39/0.75 (define @t681 () (not @t680)) % 0.39/0.75 (define @t682 () (or @t681 @t679)) % 0.39/0.75 (define @t683 () (forall @t9 @t682)) % 0.39/0.75 (define @t684 () (not @t683)) % 0.39/0.75 (define @t685 () (lambda @t150 @t669)) % 0.39/0.75 (define @t686 () (_ @t685 @t145)) % 0.39/0.75 (define @t687 () (=> @t686 @t262)) % 0.39/0.75 (define @t688 () (forall @t150 @t687)) % 0.39/0.75 (define @t689 () (and @t144 @t666)) % 0.39/0.75 (define @t690 () (forall @t9 (not @t689))) % 0.39/0.75 (define @t691 () (not @t690)) % 0.39/0.75 (define @t692 () (=> tptp.exuE2 @t654)) % 0.39/0.75 (define @t693 () (or @t194 @t257)) % 0.39/0.75 (define @t694 () (=> tptp.subPowSU @t692)) % 0.39/0.75 (define @t695 () (not @t44)) % 0.39/0.75 (define @t696 () (or @t695 @t412)) % 0.39/0.75 (define @t697 () (not false)) % 0.39/0.75 (define @t698 () (and @t697 @t412)) % 0.39/0.75 (define @t699 () (or @t698 false)) % 0.39/0.75 (define @t700 () (not @t172)) % 0.39/0.75 (define @t701 () (and @t700 @t412)) % 0.39/0.75 (define @t702 () (not (= @t172 false))) % 0.39/0.75 (define @t703 () (or @t172 @t701 @t172)) % 0.39/0.75 (define @t704 () (or @t701 @t172)) % 0.39/0.75 (define @t705 () (or @t172 @t411)) % 0.39/0.75 (define @t706 () (not @t39)) % 0.39/0.75 (define @t707 () (not @t6)) % 0.39/0.75 (define @t708 () (or @t707 @t706)) % 0.39/0.75 (define @t709 () (forall @t41 @t708)) % 0.39/0.75 (define @t710 () (or @t172 @t709)) % 0.39/0.75 (define @t711 () (or @t172 @t708)) % 0.39/0.75 (define @t712 () (or @t707 @t706 @t172)) % 0.39/0.75 (define @t713 () (=> tptp.setunionE @t694)) % 0.39/0.75 (define @t714 () (or @t707 @t706 @t44)) % 0.39/0.75 (define @t715 () (=> tptp.setunionI @t713)) % 0.39/0.75 (define @t716 () (not @t35)) % 0.39/0.75 (define @t717 () (or @t716 @t707 @t7)) % 0.39/0.75 (define @t718 () (or @t707 @t7)) % 0.39/0.75 (define @t719 () (=> tptp.powersetE @t715)) % 0.39/0.75 (define @t720 () (=> tptp.emptyInPowerset @t719)) % 0.39/0.75 (define @t721 () (=> tptp.emptyinPowerset @t720)) % 0.39/0.75 (define @t722 () (or @t419 @t35)) % 0.39/0.75 (define @t723 () (=> tptp.powersetI @t721)) % 0.39/0.75 (define @t724 () (_ @t155 @t421)) % 0.39/0.75 (define @t725 () (= @t2 @t724)) % 0.39/0.75 (define @t726 () (=> tptp.setoftrueEq @t723)) % 0.39/0.75 (define @t727 () (not @t26)) % 0.39/0.75 (define @t728 () (or @t727 @t129 @t21)) % 0.39/0.75 (define @t729 () (or @t129 @t21)) % 0.39/0.75 (define @t730 () (=> tptp.setadjoinOr @t726)) % 0.39/0.75 (define @t731 () (or @t727 @t129 @t423)) % 0.39/0.75 (define @t732 () (and @t423 @t697)) % 0.39/0.75 (define @t733 () (and @t129 @t697)) % 0.39/0.75 (define @t734 () (or @t733 @t732)) % 0.39/0.75 (define @t735 () (or @t733 @t732 false)) % 0.39/0.75 (define @t736 () (and @t423 @t700)) % 0.39/0.75 (define @t737 () (and @t129 @t700)) % 0.39/0.75 (define @t738 () (or @t172 @t737 @t736 @t172)) % 0.39/0.75 (define @t739 () (or @t737 @t736 @t172)) % 0.39/0.75 (define @t740 () (and @t21 @t700)) % 0.39/0.75 (define @t741 () (or @t737 @t740 @t172)) % 0.39/0.75 (define @t742 () (=> @t129 @t172)) % 0.39/0.75 (define @t743 () (=> tptp.setadjoinE @t730)) % 0.39/0.75 (define @t744 () (not @t21)) % 0.39/0.75 (define @t745 () (or @t744 @t26)) % 0.39/0.75 (define @t746 () (=> tptp.setadjoinIR @t743)) % 0.39/0.75 (define @t747 () (=> tptp.emptyinunitempty @t746)) % 0.39/0.75 (define @t748 () (=> tptp.setadjoinIL @t747)) % 0.39/0.75 (define @t749 () (not (= tptp.emptyset tptp.emptyset))) % 0.39/0.75 (define @t750 () (or @t437 @t749)) % 0.39/0.75 (define @t751 () (not (tptp.in @t436 @t2))) % 0.39/0.75 (define @t752 () (or @t649 @t751 @t649)) % 0.39/0.75 (define @t753 () (or @t751 @t649)) % 0.39/0.75 (define @t754 () (forall @t64 @t753)) % 0.39/0.75 (define @t755 () (forall @t438 @t754)) % 0.39/0.75 (define @t756 () (forall (@list @t436 @t2) @t753)) % 0.39/0.75 (define @t757 () (forall (@list @t2 @t436) @t753)) % 0.39/0.75 (define @t758 () (forall @t438 @t753)) % 0.39/0.75 (define @t759 () (forall @t438 @t751)) % 0.39/0.75 (define @t760 () (or @t759 @t649)) % 0.39/0.75 (define @t761 () (not @t395)) % 0.39/0.75 (define @t762 () (=> @t89 @t651)) % 0.39/0.75 (define @t763 () (forall @t64 @t762)) % 0.39/0.75 (define @t764 () (=> tptp.nonemptyI1 @t748)) % 0.39/0.75 (define @t765 () (lambda @t70 @t398)) % 0.39/0.75 (define @t766 () (tptp.dsetconstr @t2 @t765)) % 0.39/0.75 (define @t767 () (= tptp.emptyset @t766)) % 0.39/0.75 (define @t768 () (not @t767)) % 0.39/0.75 (define @t769 () (or @t393 @t441 @t768)) % 0.39/0.75 (define @t770 () (= tptp.emptyset @t156)) % 0.39/0.75 (define @t771 () (not @t770)) % 0.39/0.75 (define @t772 () (or @t194 @t622 @t771)) % 0.39/0.75 (define @t773 () (=> @t144 @t771)) % 0.39/0.75 (define @t774 () (not (= @t156 tptp.emptyset))) % 0.39/0.75 (define @t775 () (_ @t368 @t156)) % 0.39/0.75 (define @t776 () (=> @t144 @t775)) % 0.39/0.75 (define @t777 () (=> @t7 @t776)) % 0.39/0.75 (define @t778 () (forall @t159 @t777)) % 0.39/0.75 (define @t779 () (=> tptp.nonemptyI @t764)) % 0.39/0.75 (define @t780 () (=> @t651 @t89)) % 0.39/0.75 (define @t781 () (forall @t64 @t780)) % 0.39/0.75 (define @t782 () (=> tptp.nonemptyE1 @t779)) % 0.39/0.75 (define @t783 () (tptp.in @t4 @t766)) % 0.39/0.75 (define @t784 () (= @t369 @t783)) % 0.39/0.75 (define @t785 () (or @t393 @t784)) % 0.39/0.75 (define @t786 () (= @t144 @t157)) % 0.39/0.75 (define @t787 () (or @t194 @t786)) % 0.39/0.75 (define @t788 () (=> tptp.setbeta @t782)) % 0.39/0.75 (define @t789 () (=> tptp.noeltsimpempty @t788)) % 0.39/0.75 (define @t790 () (=> tptp.emptyI @t789)) % 0.39/0.75 (define @t791 () (=> @t418 @t3)) % 0.39/0.75 (define @t792 () (or @t194 @t6)) % 0.39/0.75 (define @t793 () (=> tptp.setext @t790)) % 0.39/0.75 (define @t794 () (or @t399 (= @t456 @t19))) % 0.39/0.75 (define @t795 () (forall @t70 @t794)) % 0.39/0.75 (define @t796 () (not @t795)) % 0.39/0.75 (define @t797 () (or @t458 @t457 @t796)) % 0.39/0.75 (define @t798 () (or @t457 @t796)) % 0.39/0.75 (define @t799 () (or @t798 @t458)) % 0.39/0.75 (define @t800 () (forall @t459 @t799)) % 0.39/0.75 (define @t801 () (@list @t456)) % 0.39/0.75 (define @t802 () (forall @t801 @t799)) % 0.39/0.75 (define @t803 () (forall @t801 @t798)) % 0.39/0.75 (define @t804 () (or @t803 @t458)) % 0.39/0.75 (define @t805 () (forall @t9 @t622)) % 0.39/0.75 (define @t806 () (not @t805)) % 0.39/0.75 (define @t807 () (=> @t686 @t184)) % 0.39/0.75 (define @t808 () (forall @t150 @t807)) % 0.39/0.75 (define @t809 () (=> tptp.exuE3e @t793)) % 0.39/0.75 (define @t810 () (=> tptp.notinemptyset @t809)) % 0.39/0.75 (define @t811 () (=> tptp.emptysetimpfalse @t810)) % 0.39/0.75 (define @t812 () (or @t172 @t172)) % 0.39/0.75 (define @t813 () (=> tptp.emptysetE @t811)) % 0.39/0.75 (define @t814 () (@var "BOUND_VARIABLE_8446" $$unsorted)) % 0.39/0.75 (define @t815 () (@list @t814)) % 0.39/0.75 (define @t816 () (lambda @t815 false)) % 0.39/0.75 (define @t817 () (@list @t814)) % 0.39/0.75 (define @t818 () (tptp.dsetconstr @t468 @t816)) % 0.39/0.75 (define @t819 () (tptp.in @t4 @t818)) % 0.39/0.75 (define @t820 () (not @t819)) % 0.39/0.75 (define @t821 () (or @t820 false)) % 0.39/0.75 (define @t822 () (lambda @t815 @t172)) % 0.39/0.75 (define @t823 () (tptp.dsetconstr @t468 @t822)) % 0.39/0.75 (define @t824 () (tptp.in @t4 @t823)) % 0.39/0.75 (define @t825 () (not @t824)) % 0.39/0.75 (define @t826 () (or @t172 @t825 @t172)) % 0.39/0.75 (define @t827 () (or @t825 @t172)) % 0.39/0.75 (define @t828 () (forall @t177 @t827)) % 0.39/0.75 (define @t829 () (forall @t9 @t828)) % 0.39/0.75 (define @t830 () (forall (@list @t4 @t172) @t827)) % 0.39/0.75 (define @t831 () (_ @t365 @t822)) % 0.39/0.75 (define @t832 () (_ @t5 @t831)) % 0.39/0.75 (define @t833 () (not @t832)) % 0.39/0.75 (define @t834 () (or @t833 @t172)) % 0.39/0.75 (define @t835 () (=> (_ @t5 @t366) @t172)) % 0.39/0.75 (define @t836 () (_ @t367 @t172)) % 0.39/0.75 (define @t837 () (=> (_ @t5 @t836) @t172)) % 0.39/0.75 (define @t838 () (forall @t174 @t837)) % 0.39/0.75 (define @t839 () (=> tptp.prop2setE @t813)) % 0.39/0.75 (define @t840 () (=> @t686 @t168)) % 0.39/0.75 (define @t841 () (forall @t150 @t840)) % 0.39/0.75 (define @t842 () (=> tptp.exuE1 @t839)) % 0.39/0.75 (define @t843 () (not @t783)) % 0.39/0.75 (define @t844 () (or @t843 @t369)) % 0.39/0.75 (define @t845 () (not @t157)) % 0.39/0.75 (define @t846 () (or @t845 @t144)) % 0.39/0.75 (define @t847 () (=> tptp.dsetconstrER @t842)) % 0.39/0.75 (define @t848 () (or @t843 @t392)) % 0.39/0.75 (define @t849 () (or @t845 @t7)) % 0.39/0.75 (define @t850 () (=> tptp.dsetconstrEL @t847)) % 0.39/0.75 (define @t851 () (or @t393 @t441 @t783)) % 0.39/0.75 (define @t852 () (or @t194 @t622 @t157)) % 0.39/0.75 (define @t853 () (=> tptp.dsetconstrI @t850)) % 0.39/0.75 (define @t854 () (or @t399 (= @t478 @t19))) % 0.39/0.75 (define @t855 () (forall @t70 @t854)) % 0.39/0.75 (define @t856 () (not @t855)) % 0.39/0.75 (define @t857 () (or @t480 @t479 @t856)) % 0.39/0.75 (define @t858 () (or @t479 @t856)) % 0.39/0.75 (define @t859 () (or @t858 @t480)) % 0.39/0.75 (define @t860 () (forall @t481 @t859)) % 0.39/0.75 (define @t861 () (@list @t478)) % 0.39/0.75 (define @t862 () (forall @t861 @t859)) % 0.39/0.75 (define @t863 () (forall @t861 @t858)) % 0.39/0.75 (define @t864 () (or @t863 @t480)) % 0.39/0.75 (define @t865 () (tptp.descr @t613)) % 0.39/0.75 (define @t866 () (_ @t143 @t865)) % 0.39/0.75 (define @t867 () (or @t668 @t866)) % 0.39/0.75 (define @t868 () (or @t668 @t147)) % 0.39/0.75 (define @t869 () (=> @t686 @t147)) % 0.39/0.75 (define @t870 () (forall @t150 @t869)) % 0.39/0.75 (define @t871 () (=> tptp.descrp @t853)) % 0.39/0.75 (define @t872 () (and @t531 @t524 @t520 @t508)) % 0.39/0.75 (define @t873 () (forall @t41 (not @t872))) % 0.39/0.75 (define @t874 () (not @t873)) % 0.39/0.75 (define @t875 () (@list @t503)) % 0.39/0.75 (define @t876 () (forall @t875 @t507)) % 0.39/0.75 (define @t877 () (forall @t875 @t504)) % 0.39/0.75 (define @t878 () (or @t506 @t877 @t502)) % 0.39/0.75 (define @t879 () (forall @t9 @t499)) % 0.39/0.75 (define @t880 () (or @t506 @t879 @t502)) % 0.39/0.75 (define @t881 () (not @t879)) % 0.39/0.75 (define @t882 () (and @t505 @t881)) % 0.39/0.75 (define @t883 () (not @t109)) % 0.39/0.75 (define @t884 () (not @t110)) % 0.39/0.75 (define @t885 () (or @t884 @t883 @t497 @t493)) % 0.39/0.75 (define @t886 () (and @t110 @t109 @t496 @t492)) % 0.39/0.75 (define @t887 () (forall @t112 (not @t886))) % 0.39/0.75 (define @t888 () (not @t887)) % 0.39/0.75 (define @t889 () (or @t486 @t485)) % 0.39/0.75 (define @t890 () (or @t489 @t889 @t487)) % 0.39/0.75 (define @t891 () (forall @t491 @t890)) % 0.39/0.75 (define @t892 () (@list @t484)) % 0.39/0.75 (define @t893 () (forall @t892 @t890)) % 0.39/0.75 (define @t894 () (forall @t892 @t889)) % 0.39/0.75 (define @t895 () (or @t489 @t894 @t487)) % 0.39/0.75 (define @t896 () (tptp.in @t19 @t93)) % 0.39/0.75 (define @t897 () (forall @t70 (or (not @t896) @t495))) % 0.39/0.75 (define @t898 () (not @t100)) % 0.39/0.75 (define @t899 () (or @t898 @t897 @t94)) % 0.39/0.75 (define @t900 () (or @t897 @t94)) % 0.39/0.75 (define @t901 () (not @t97)) % 0.39/0.75 (define @t902 () (or @t901 @t96)) % 0.39/0.75 (define @t903 () (not @t105)) % 0.39/0.75 (define @t904 () (not @t96)) % 0.39/0.75 (define @t905 () (or @t904 @t903)) % 0.39/0.75 (define @t906 () (forall @t70 (not @t106))) % 0.39/0.75 (define @t907 () (not @t906)) % 0.39/0.75 (define @t908 () (forall @t9 @t883)) % 0.39/0.75 (define @t909 () (not @t908)) % 0.39/0.75 (define @t910 () (or @t883 @t7)) % 0.39/0.75 (define @t911 () (or @t512 @t511)) % 0.39/0.75 (define @t912 () (or @t515 @t514)) % 0.39/0.75 (define @t913 () (or @t517 @t501 @t912 @t911)) % 0.39/0.75 (define @t914 () (forall @t519 @t913)) % 0.39/0.75 (define @t915 () (forall (@list @t513 @t510) @t913)) % 0.39/0.75 (define @t916 () (forall (@list @t510) @t911)) % 0.39/0.75 (define @t917 () (forall (@list @t513) @t912)) % 0.39/0.75 (define @t918 () (or @t517 @t501 @t917 @t916)) % 0.39/0.75 (define @t919 () (tptp.in @t4 @t95)) % 0.39/0.75 (define @t920 () (forall @t9 (or (not @t919) @t498))) % 0.39/0.75 (define @t921 () (forall @t9 (or @t499 @t919))) % 0.39/0.75 (define @t922 () (not @t124)) % 0.39/0.75 (define @t923 () (or @t922 @t884 @t921 @t920)) % 0.39/0.75 (define @t924 () (or @t921 @t920)) % 0.39/0.75 (define @t925 () (not @t120)) % 0.39/0.75 (define @t926 () (or @t925 @t109)) % 0.39/0.75 (define @t927 () (or @t883 @t120)) % 0.39/0.75 (define @t928 () (or @t194 @t744 @t523 @t129)) % 0.39/0.75 (define @t929 () (=> @t522 @t129)) % 0.39/0.75 (define @t930 () (or @t922 @t130)) % 0.39/0.75 (define @t931 () (or @t528 @t527)) % 0.39/0.75 (define @t932 () (or @t517 @t931)) % 0.39/0.75 (define @t933 () (forall @t530 @t932)) % 0.39/0.75 (define @t934 () (@list @t526)) % 0.39/0.75 (define @t935 () (forall @t934 @t932)) % 0.39/0.75 (define @t936 () (forall @t934 @t931)) % 0.39/0.75 (define @t937 () (or @t517 @t936)) % 0.39/0.75 (define @t938 () (or @t922 @t505)) % 0.39/0.75 (define @t939 () (=> tptp.wellorderingAx @t871)) % 0.39/0.75 (define @t940 () (@list @t539)) % 0.39/0.75 (define @t941 () (forall @t940 @t541)) % 0.39/0.75 (define @t942 () (forall @t940 @t540)) % 0.39/0.75 (define @t943 () (or @t942 @t538)) % 0.39/0.75 (define @t944 () (or @t706 @t537)) % 0.39/0.75 (define @t945 () (and @t39 @t536)) % 0.39/0.75 (define @t946 () (forall @t41 (not @t945))) % 0.39/0.75 (define @t947 () (not @t946)) % 0.39/0.75 (define @t948 () (or @t707 @t194)) % 0.39/0.75 (define @t949 () (forall @t9 (not @t84))) % 0.39/0.75 (define @t950 () (not @t949)) % 0.39/0.75 (define @t951 () (=> tptp.foundationAx @t939)) % 0.39/0.75 (define @t952 () (= @t6 @t545)) % 0.39/0.75 (define @t953 () (not @t68)) % 0.39/0.75 (define @t954 () (or @t744 @t953)) % 0.39/0.75 (define @t955 () (forall @t70 (not @t69))) % 0.39/0.75 (define @t956 () (not @t955)) % 0.39/0.75 (define @t957 () (or @t194 @t554)) % 0.39/0.75 (define @t958 () (_ @t75 @t548)) % 0.39/0.75 (define @t959 () (not @t958)) % 0.39/0.75 (define @t960 () (or @t959 @t551)) % 0.39/0.75 (define @t961 () (not @t76)) % 0.39/0.75 (define @t962 () (or @t961 @t549)) % 0.39/0.75 (define @t963 () (_ @t77 @t19)) % 0.39/0.75 (define @t964 () (not @t963)) % 0.39/0.75 (define @t965 () (or @t964 @t549)) % 0.39/0.75 (define @t966 () (forall @t70 @t965)) % 0.39/0.75 (define @t967 () (not @t966)) % 0.39/0.75 (define @t968 () (_ @t77 @t548)) % 0.39/0.75 (define @t969 () (not @t968)) % 0.39/0.75 (define @t970 () (or @t969 @t967)) % 0.39/0.75 (define @t971 () (forall @t553 @t970)) % 0.39/0.75 (define @t972 () (not @t971)) % 0.39/0.75 (define @t973 () (not (_ @t143 @t548))) % 0.39/0.75 (define @t974 () (or @t399 (= @t548 @t19))) % 0.39/0.75 (define @t975 () (forall @t70 @t974)) % 0.39/0.75 (define @t976 () (not @t975)) % 0.39/0.75 (define @t977 () (or @t973 @t976)) % 0.39/0.75 (define @t978 () (forall @t553 @t977)) % 0.39/0.75 (define @t979 () (not @t978)) % 0.39/0.75 (define @t980 () (=> @t7 (_ @t685 @t77))) % 0.39/0.75 (define @t981 () (forall @t9 @t980)) % 0.39/0.75 (define @t982 () (=> @t981 @t74)) % 0.39/0.75 (define @t983 () (forall @t81 @t982)) % 0.39/0.75 (define @t984 () (=> tptp.replAx @t951)) % 0.39/0.75 (define @t985 () (or @t560 @t559)) % 0.39/0.75 (define @t986 () (or @t568 @t566 @t985)) % 0.39/0.75 (define @t987 () (forall @t570 @t986)) % 0.39/0.75 (define @t988 () (@list @t558)) % 0.39/0.75 (define @t989 () (forall @t988 @t986)) % 0.39/0.75 (define @t990 () (forall @t988 @t985)) % 0.39/0.75 (define @t991 () (or @t568 @t566 @t990)) % 0.39/0.75 (define @t992 () (forall @t9 (or @t564 @t392))) % 0.39/0.75 (define @t993 () (not @t61)) % 0.39/0.75 (define @t994 () (or @t993 @t566 @t992)) % 0.39/0.75 (define @t995 () (and @t61 @t565)) % 0.39/0.75 (define @t996 () (not @t54)) % 0.39/0.75 (define @t997 () (or @t996 @t7)) % 0.39/0.75 (define @t998 () (_ tptp.in @t561)) % 0.39/0.75 (define @t999 () (or @t996 @t194 @t58)) % 0.39/0.75 (define @t1000 () (=> tptp.omegaIndAx @t984)) % 0.39/0.75 (define @t1001 () (or @t996 @t53)) % 0.39/0.75 (define @t1002 () (=> tptp.omegaSAx @t1000)) % 0.39/0.75 (define @t1003 () (=> tptp.omega0Ax @t1002)) % 0.39/0.75 (define @t1004 () (= @t44 @t412)) % 0.39/0.75 (define @t1005 () (forall @t41 (not @t40))) % 0.39/0.75 (define @t1006 () (not @t1005)) % 0.39/0.75 (define @t1007 () (=> tptp.setunionAx @t1003)) % 0.39/0.75 (define @t1008 () (= @t35 @t418)) % 0.39/0.75 (define @t1009 () (=> tptp.powersetAx @t1007)) % 0.39/0.75 (define @t1010 () (= @t26 @t729)) % 0.39/0.75 (define @t1011 () (=> tptp.setadjoinAx @t1009)) % 0.39/0.75 (define @t1012 () (=> tptp.emptysetAx @t1011)) % 0.39/0.75 (define @t1013 () (=> tptp.setextAx @t1012)) % 0.39/0.75 (define @t1014 () (or @t16 @t144)) % 0.39/0.75 (define @t1015 () (@quantifiers_skolemize @t372 1)) % 0.39/0.75 (define @t1016 () (tptp.in @t1015 tptp.emptyset)) % 0.39/0.75 (define @t1017 () (not @t1016)) % 0.39/0.75 (define @t1018 () (or @t1017 (_ (@quantifiers_skolemize @t372 0) @t1015))) % 0.39/0.75 (assume @p1 @t14) % 0.39/0.75 (assume @p2 @t18) % 0.39/0.75 (assume @p3 @t30) % 0.39/0.75 (assume @p4 @t38) % 0.39/0.75 (assume @p5 @t48) % 0.39/0.75 (assume @p6 (= tptp.omega0Ax @t50)) % 0.39/0.75 (assume @p7 @t56) % 0.39/0.75 (assume @p8 @t66) % 0.39/0.75 (assume @p9 @t83) % 0.39/0.75 (assume @p10 @t92) % 0.39/0.75 (assume @p11 @t142) % 0.39/0.75 (assume @p12 @t152) % 0.39/0.75 (assume @p13 @t161) % 0.39/0.75 (assume @p14 @t163) % 0.39/0.75 (assume @p15 @t165) % 0.39/0.75 (assume @p16 @t171) % 0.39/0.75 (assume @p17 @t176) % 0.39/0.75 (assume @p18 @t181) % 0.39/0.75 (assume @p19 @t183) % 0.39/0.75 (assume @p20 (= tptp.notinemptyset @t17)) % 0.39/0.75 (assume @p21 @t187) % 0.39/0.75 (assume @p22 @t192) % 0.39/0.75 (assume @p23 @t198) % 0.39/0.75 (assume @p24 (= tptp.noeltsimpempty @t197)) % 0.39/0.75 (assume @p25 @t201) % 0.39/0.75 (assume @p26 @t205) % 0.39/0.75 (assume @p27 @t209) % 0.39/0.75 (assume @p28 @t212) % 0.39/0.75 (assume @p29 @t216) % 0.39/0.75 (assume @p30 (= tptp.emptyinunitempty @t218)) % 0.39/0.75 (assume @p31 @t220) % 0.39/0.75 (assume @p32 @t228) % 0.39/0.75 (assume @p33 @t231) % 0.39/0.75 (assume @p34 @t235) % 0.39/0.75 (assume @p35 @t238) % 0.39/0.75 (assume @p36 @t241) % 0.39/0.75 (assume @p37 (= tptp.emptyInPowerset @t240)) % 0.39/0.75 (assume @p38 @t244) % 0.39/0.75 (assume @p39 @t248) % 0.39/0.75 (assume @p40 @t255) % 0.39/0.75 (assume @p41 @t259) % 0.39/0.75 (assume @p42 @t265) % 0.39/0.75 (assume @p43 @t270) % 0.39/0.75 (assume @p44 @t274) % 0.39/0.75 (assume @p45 @t280) % 0.39/0.75 (assume @p46 @t282) % 0.39/0.75 (assume @p47 @t284) % 0.39/0.75 (assume @p48 @t293) % 0.39/0.75 (assume @p49 @t296) % 0.39/0.75 (assume @p50 @t299) % 0.39/0.75 (assume @p51 @t307) % 0.39/0.75 (assume @p52 @t361) % 0.39/0.75 (assume @p53 true) % 0.39/0.75 (step @p54 (= tptp.exu @t362) :rule refl :args (@t362)) % 0.39/0.75 (step @p55 (= tptp.prop2set @t367) :rule refl :args (@t367)) % 0.39/0.75 (step @p56 (= tptp.nonempty @t368) :rule refl :args (@t368)) % 0.39/0.75 (step @p57 :rule refl :args (@t428)) % 0.39/0.75 (step @p58 :rule refl :args ((tptp.in tptp.emptyset @t217))) % 0.39/0.75 (step @p59 :rule refl :args (@t429)) % 0.39/0.75 (step @p60 :rule refl :args (tptp.emptyset)) % 0.39/0.75 (step @p61 :rule cong :premises (@p60 @p59) :args (@t430)) % 0.39/0.75 (step @p62 :rule trans :premises (@p61 @p58)) % 0.39/0.75 (step @p63 :rule refl :args (@t49)) % 0.39/0.75 (step @p64 :rule ho_cong :premises (@p63 @p59)) % 0.39/0.75 (step @p65 :rule cong :premises (@p64 @p62) :args ((= (_ @t49 @t429) @t430))) % 0.39/0.75 (step @p66 :rule symm :premises (@p65)) % 0.39/0.75 (step @p67 :rule refl :args (@t218)) % 0.39/0.75 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.39/0.75 (step @p69 :rule refl :args (@t217)) % 0.39/0.75 (step @p70 :rule cong :premises (@p69 @p59) :args ((= @t217 @t429))) % 0.39/0.75 (step @p71 :rule symm :premises (@p70)) % 0.39/0.75 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 0.39/0.75 (step @p73 :rule refl :args (@t49)) % 0.39/0.75 (step @p74 :rule ho_cong :premises (@p73 @p72)) % 0.39/0.75 (step @p75 :rule trans :premises (@p74 @p68)) % 0.39/0.76 (step @p76 :rule cong :premises (@p75 @p57) :args (@t431)) % 0.39/0.76 (step @p77 :rule refl :args (@t434)) % 0.39/0.76 (step @p78 :rule cong :premises (@p77 @p76) :args (@t435)) % 0.39/0.76 (step @p79 :rule refl :args (@t439)) % 0.39/0.76 (step @p80 :rule cong :premises (@p79 @p78) :args (@t440)) % 0.39/0.76 (step @p81 :rule refl :args (@t442)) % 0.39/0.76 (step @p82 :rule cong :premises (@p81 @p80) :args (@t443)) % 0.39/0.76 (step @p83 :rule refl :args (@t396)) % 0.39/0.76 (step @p84 :rule cong :premises (@p83 @p82) :args (@t444)) % 0.39/0.76 (step @p85 :rule refl :args (@t446)) % 0.39/0.76 (step @p86 :rule cong :premises (@p85 @p84) :args (@t447)) % 0.39/0.76 (step @p87 :rule refl :args (@t448)) % 0.39/0.76 (step @p88 :rule cong :premises (@p87 @p86) :args (@t449)) % 0.39/0.76 (step @p89 :rule cong :premises (@p87 @p88) :args (@t450)) % 0.39/0.76 (step @p90 :rule refl :args (@t454)) % 0.39/0.76 (step @p91 :rule cong :premises (@p90 @p89) :args (@t455)) % 0.39/0.76 (step @p92 :rule refl :args (@t460)) % 0.39/0.76 (step @p93 :rule cong :premises (@p92 @p91) :args (@t461)) % 0.39/0.76 (step @p94 :rule refl :args (@t462)) % 0.39/0.76 (step @p95 :rule cong :premises (@p94 @p93) :args (@t463)) % 0.39/0.76 (step @p96 :rule cong :premises (@p94 @p95) :args (@t464)) % 0.39/0.76 (step @p97 :rule cong :premises (@p94 @p96) :args (@t465)) % 0.39/0.76 (step @p98 :rule refl :args (@t469)) % 0.39/0.76 (step @p99 :rule cong :premises (@p98 @p97) :args (@t470)) % 0.39/0.76 (step @p100 :rule refl :args (@t472)) % 0.39/0.76 (step @p101 :rule cong :premises (@p100 @p99) :args (@t473)) % 0.39/0.76 (step @p102 :rule refl :args (@t474)) % 0.39/0.76 (step @p103 :rule cong :premises (@p102 @p101) :args (@t475)) % 0.39/0.76 (step @p104 :rule refl :args (@t476)) % 0.39/0.76 (step @p105 :rule cong :premises (@p104 @p103) :args (@t477)) % 0.39/0.76 (step @p106 :rule refl :args (@t482)) % 0.39/0.76 (step @p107 :rule cong :premises (@p106 @p105) :args (@t483)) % 0.39/0.76 (step @p108 :rule refl :args (@t534)) % 0.39/0.76 (step @p109 :rule cong :premises (@p108 @p107) :args (@t535)) % 0.39/0.76 (step @p110 :rule refl :args (@t542)) % 0.39/0.76 (step @p111 :rule cong :premises (@p110 @p109) :args (@t543)) % 0.39/0.76 (step @p112 :rule refl :args (@t556)) % 0.39/0.76 (step @p113 :rule cong :premises (@p112 @p111) :args (@t557)) % 0.39/0.76 (step @p114 :rule refl :args (@t571)) % 0.39/0.76 (step @p115 :rule cong :premises (@p114 @p113) :args (@t572)) % 0.39/0.76 (step @p116 :rule refl :args (@t574)) % 0.39/0.76 (step @p117 :rule cong :premises (@p116 @p115) :args (@t575)) % 0.39/0.76 (step @p118 :rule refl :args (@t576)) % 0.39/0.76 (step @p119 :rule refl :args (@t50)) % 0.39/0.76 (step @p120 :rule cong :premises (@p119 @p118) :args ((= @t50 @t576))) % 0.39/0.76 (step @p121 :rule symm :premises (@p120)) % 0.39/0.76 (step @p122 :rule eq_resolve :premises (@p119 @p121)) % 0.39/0.76 (step @p123 :rule cong :premises (@p122 @p117) :args (@t577)) % 0.39/0.76 (step @p124 :rule refl :args (@t578)) % 0.39/0.76 (step @p125 :rule cong :premises (@p124 @p123) :args (@t579)) % 0.39/0.76 (step @p126 :rule refl :args (@t580)) % 0.39/0.76 (step @p127 :rule cong :premises (@p126 @p125) :args (@t581)) % 0.39/0.76 (step @p128 :rule refl :args (@t583)) % 0.39/0.76 (step @p129 :rule cong :premises (@p128 @p127) :args (@t584)) % 0.39/0.76 (step @p130 :rule cong :premises (@p94 @p129) :args (@t585)) % 0.39/0.76 (step @p131 :rule refl :args (@t587)) % 0.39/0.76 (step @p132 :rule cong :premises (@p131 @p130) :args (@t588)) % 0.39/0.76 (step @p133 :rule cong :premises (@p132) :args ((not @t588))) % 0.39/0.76 (step @p134 :rule bool-impl-true2 :args (@t470)) % 0.39/0.76 (step @p135 :rule cong :premises (@p100 @p134) :args (@t589)) % 0.39/0.76 (step @p136 :rule cong :premises (@p102 @p135) :args (@t590)) % 0.39/0.76 (step @p137 :rule cong :premises (@p104 @p136) :args (@t591)) % 0.39/0.76 (step @p138 :rule cong :premises (@p106 @p137) :args (@t592)) % 0.39/0.76 (step @p139 :rule cong :premises (@p108 @p138) :args (@t593)) % 0.39/0.76 (step @p140 :rule cong :premises (@p110 @p139) :args (@t594)) % 0.39/0.76 (step @p141 :rule cong :premises (@p112 @p140) :args (@t595)) % 0.39/0.76 (step @p142 :rule cong :premises (@p114 @p141) :args (@t596)) % 0.39/0.76 (step @p143 :rule cong :premises (@p116 @p142) :args (@t597)) % 0.39/0.76 (step @p144 :rule refl :args (@t50)) % 0.39/0.76 (step @p145 :rule cong :premises (@p144 @p143) :args (@t598)) % 0.39/0.76 (step @p146 :rule cong :premises (@p124 @p145) :args (@t599)) % 0.39/0.76 (step @p147 :rule cong :premises (@p126 @p146) :args (@t600)) % 0.39/0.76 (step @p148 :rule cong :premises (@p128 @p147) :args (@t601)) % 0.39/0.76 (step @p149 :rule cong :premises (@p94 @p148) :args (@t602)) % 0.39/0.76 (step @p150 :rule cong :premises (@p131 @p149) :args (@t603)) % 0.39/0.76 (step @p151 :rule cong :premises (@p150) :args ((not @t603))) % 0.39/0.76 (step @p152 :rule refl :args (@t372)) % 0.39/0.76 (step @p153 :rule aci_norm :args ((= @t605 @t378))) % 0.39/0.76 (step @p154 :rule cong :premises (@p153) :args (@t606)) % 0.39/0.76 (step @p155 :rule quant-merge-prenex :args ((= (forall @t305 @t608) @t606))) % 0.39/0.76 (step @p156 :rule refl :args (@t377)) % 0.39/0.76 (step @p157 :rule alpha_equiv :args (@t609 (@list @t373) @t610)) % 0.39/0.76 (step @p158 :rule nary_cong :premises (@p157 @p156) :args (@t611)) % 0.39/0.76 (step @p159 :rule quant-miniscope-or :args ((= @t608 @t611))) % 0.39/0.76 (step @p160 :rule trans :premises (@p159 @p158)) % 0.39/0.76 (step @p161 :rule symm :premises (@p160)) % 0.39/0.76 (step @p162 :rule cong :premises (@p161) :args ((forall @t305 (or @t612 @t377)))) % 0.39/0.76 (step @p163 :rule trans :premises (@p162 @p155)) % 0.39/0.76 (step @p164 :rule trans :premises (@p163 @p154)) % 0.39/0.76 (step @p165 :rule lambda-elim :args ((= @t613 @t143))) % 0.39/0.76 (step @p166 :rule refl :args (@t2)) % 0.39/0.76 (step @p167 :rule cong :premises (@p166 @p165) :args (@t614)) % 0.39/0.76 (step @p168 :rule refl :args (tptp.emptyset)) % 0.39/0.76 (step @p169 :rule cong :premises (@p168 @p167) :args (@t615)) % 0.39/0.76 (step @p170 :rule cong :premises (@p169) :args (@t616)) % 0.39/0.76 (step @p171 :rule refl :args (@t612)) % 0.39/0.76 (step @p172 :rule nary_cong :premises (@p171 @p170) :args (@t617)) % 0.39/0.76 (step @p173 :rule cong :premises (@p172) :args ((forall @t305 @t617))) % 0.39/0.76 (step @p174 :rule trans :premises (@p173 @p164)) % 0.39/0.76 (step @p175 :rule refl :args ((tptp.dsetconstr @t2 @t145))) % 0.39/0.76 (step @p176 :rule refl :args (@t369)) % 0.39/0.76 (step @p177 :rule cong :premises (@p176) :args (@t613)) % 0.39/0.76 (step @p178 :rule refl :args (@t2)) % 0.39/0.76 (step @p179 :rule cong :premises (@p178 @p177) :args (@t614)) % 0.39/0.76 (step @p180 :rule trans :premises (@p179 @p175)) % 0.39/0.76 (step @p181 :rule refl :args (@t155)) % 0.39/0.76 (step @p182 :rule ho_cong :premises (@p181 @p177)) % 0.39/0.76 (step @p183 :rule cong :premises (@p182 @p180) :args ((= (_ @t155 @t613) @t614))) % 0.39/0.76 (step @p184 :rule symm :premises (@p183)) % 0.39/0.76 (step @p185 :rule refl :args (@t300)) % 0.39/0.76 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 0.39/0.76 (step @p187 :rule refl :args (@t144)) % 0.39/0.76 (step @p188 :rule cong :premises (@p187 @p176) :args ((= @t144 @t369))) % 0.39/0.76 (step @p189 :rule symm :premises (@p188)) % 0.39/0.76 (step @p190 :rule eq_resolve :premises (@p187 @p189)) % 0.39/0.76 (step @p191 :rule cong :premises (@p190) :args (@t145)) % 0.39/0.76 (step @p192 :rule ho_cong :premises (@p181 @p191)) % 0.39/0.76 (step @p193 :rule trans :premises (@p192 @p186)) % 0.39/0.76 (step @p194 :rule cong :premises (@p60 @p193) :args (@t618)) % 0.39/0.76 (step @p195 :rule cong :premises (@p194) :args (@t619)) % 0.39/0.76 (step @p196 :rule refl :args (@t612)) % 0.39/0.76 (step @p197 :rule nary_cong :premises (@p196 @p195) :args (@t620)) % 0.39/0.76 (step @p198 :rule cong :premises (@p197) :args ((forall @t305 @t620))) % 0.39/0.76 (step @p199 :rule trans :premises (@p198 @p174)) % 0.39/0.76 (step @p200 :rule refl :args (@t619)) % 0.39/0.76 (step @p201 :rule bool-double-not-elim :args (@t612)) % 0.39/0.76 (step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or (not @t621) @t619))) % 0.39/0.76 (step @p203 :rule bool-impl-elim :args (@t621 @t619)) % 0.39/0.76 (step @p204 :rule trans :premises (@p203 @p202)) % 0.39/0.76 (step @p205 :rule cong :premises (@p204) :args ((forall @t305 (=> @t621 @t619)))) % 0.39/0.76 (step @p206 :rule trans :premises (@p205 @p199)) % 0.39/0.76 (step @p207 :rule eq-symm :args (@t300 tptp.emptyset)) % 0.39/0.76 (step @p208 :rule cong :premises (@p207) :args ((not @t301))) % 0.39/0.76 (step @p209 :rule bool-impl-false1 :args (@t301)) % 0.39/0.76 (step @p210 :rule trans :premises (@p209 @p208)) % 0.39/0.76 (step @p211 :rule cong :premises (@p190) :args (@t622)) % 0.39/0.76 (step @p212 :rule refl :args (@t392)) % 0.39/0.76 (step @p213 :rule refl :args (@t7)) % 0.39/0.76 (step @p214 :rule cong :premises (@p213 @p212) :args ((= @t7 @t392))) % 0.39/0.76 (step @p215 :rule symm :premises (@p214)) % 0.39/0.76 (step @p216 :rule eq_resolve :premises (@p213 @p215)) % 0.39/0.76 (step @p217 :rule cong :premises (@p216) :args (@t194)) % 0.39/0.76 (step @p218 :rule nary_cong :premises (@p217 @p211) :args (@t623)) % 0.39/0.76 (step @p219 :rule cong :premises (@p218) :args ((forall @t9 @t623))) % 0.39/0.76 (step @p220 :rule bool-and-de-morgan :args (@t7 @t144 true)) % 0.39/0.76 (step @p221 :rule cong :premises (@p220) :args (@t624)) % 0.39/0.76 (step @p222 :rule trans :premises (@p221 @p219)) % 0.39/0.76 (step @p223 :rule cong :premises (@p222) :args (@t625)) % 0.39/0.76 (step @p224 :rule exists-elim :args ((= @t303 @t625))) % 0.39/0.76 (step @p225 :rule trans :premises (@p224 @p223)) % 0.39/0.76 (step @p226 :rule cong :premises (@p225 @p210) :args (@t304)) % 0.39/0.76 (step @p227 :rule cong :premises (@p226) :args (@t306)) % 0.39/0.76 (step @p228 :rule trans :premises (@p227 @p206)) % 0.39/0.76 (step @p229 :rule refl :args (tptp.emptyE1)) % 0.39/0.76 (step @p230 :rule cong :premises (@p229 @p228) :args (@t307)) % 0.39/0.76 (step @p231 :rule eq_resolve :premises (@p51 @p230)) % 0.39/0.76 (step @p232 :rule cong :premises (@p231 @p152) :args (@t626)) % 0.39/0.76 (step @p233 :rule refl :args ((tptp.in @t19 @t287))) % 0.39/0.76 (step @p234 :rule refl :args ((tptp.setadjoin @t4 @t271))) % 0.39/0.76 (step @p235 :rule refl :args (@t380)) % 0.39/0.76 (step @p236 :rule refl :args (@t4)) % 0.39/0.76 (step @p237 :rule cong :premises (@p236 @p235) :args (@t381)) % 0.39/0.76 (step @p238 :rule trans :premises (@p237 @p234)) % 0.39/0.76 (step @p239 :rule refl :args (@t19)) % 0.39/0.76 (step @p240 :rule cong :premises (@p239 @p238) :args (@t382)) % 0.39/0.76 (step @p241 :rule trans :premises (@p240 @p233)) % 0.39/0.76 (step @p242 :rule refl :args (@t20)) % 0.39/0.76 (step @p243 :rule ho_cong :premises (@p242 @p238)) % 0.39/0.76 (step @p244 :rule cong :premises (@p243 @p241) :args ((= (_ @t20 @t381) @t382))) % 0.39/0.76 (step @p245 :rule symm :premises (@p244)) % 0.39/0.76 (step @p246 :rule refl :args (@t297)) % 0.39/0.76 (step @p247 :rule eq_resolve :premises (@p246 @p245)) % 0.39/0.76 (step @p248 :rule refl :args 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:rule skolemize :premises (@p2049)) % 0.39/0.76 (step @p2051 :rule bool-double-not-elim :args (@t1016)) % 0.39/0.76 (step @p2052 :rule refl :args (@t1018)) % 0.39/0.76 (step @p2053 :rule nary_cong :premises (@p2052 @p2051) :args ((or @t1018 (not @t1017)))) % 0.39/0.76 (step @p2054 :rule cnf_or_neg :args (@t1018 0)) % 0.39/0.76 (step @p2055 :rule eq_resolve :premises (@p2054 @p2053)) % 0.39/0.76 (step @p2056 :rule reordering :premises (@p2055) :args ((or @t1016 @t1018))) % 0.39/0.76 (step @p2057 :rule chain_m_resolution :premises (@p2056 @p2050) :args (@t1016 (@list true) (@list @t1018))) % 0.39/0.76 (assume-push @p2064 @t462) % 0.39/0.76 (step @p2059 :rule instantiate :premises (@p2000) :args ((@list @t1015))) % 0.39/0.76 (step-pop @p2065 :rule scope :premises (@p2059)) % 0.39/0.76 (step @p2060 :rule process_scope :premises (@p2065) :args (@t1017)) % 0.39/0.76 (step @p2062 :rule implies_elim :premises (@p2060)) % 0.39/0.76 (step @p2063 false :rule chain_m_resolution :premises (@p2062 @p2057 @p2000) :args (false (@list false false) (@list @t1016 @t462))) % 0.39/0.76 ) % 0.39/0.76 % SZS output end Proof % 0.39/0.76 % cvc5 exiting %------------------------------------------------------------------------------