%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU528^1 : 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 : n019.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 08:52:04 AM UTC 2026 % Result : Theorem 0.51s 0.73s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU528^1 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:40:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.51 %----Proving TH0 % 0.51/0.73 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.51/0.73 % SZS status Theorem % 0.51/0.73 % SZS output start Proof % 0.51/0.73 ( % 0.51/0.73 (declare-sort $$unsorted 0) % 0.51/0.73 (declare-const tptp.emptyset $$unsorted) % 0.51/0.73 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.51/0.73 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.51/0.73 (declare-const tptp.subPowSU Bool) % 0.51/0.73 (declare-const tptp.setunionE Bool) % 0.51/0.73 (declare-const tptp.setunionI Bool) % 0.51/0.73 (declare-const tptp.powersetE Bool) % 0.51/0.73 (declare-const tptp.emptyInPowerset Bool) % 0.51/0.73 (declare-const tptp.setoftrueEq Bool) % 0.51/0.73 (declare-const tptp.uniqinunit Bool) % 0.51/0.73 (declare-const tptp.setadjoinOr Bool) % 0.51/0.73 (declare-const tptp.setadjoinE Bool) % 0.51/0.73 (declare-const tptp.emptyinunitempty Bool) % 0.51/0.73 (declare-const tptp.nonemptyI1 Bool) % 0.51/0.73 (declare-const tptp.nonemptyI Bool) % 0.51/0.73 (declare-const tptp.nonemptyE1 Bool) % 0.51/0.73 (declare-const tptp.noeltsimpempty Bool) % 0.51/0.73 (declare-const tptp.emptyI Bool) % 0.51/0.73 (declare-const tptp.omegaIndAx Bool) % 0.51/0.73 (declare-const tptp.omega0Ax Bool) % 0.51/0.73 (declare-const tptp.setadjoinIL Bool) % 0.51/0.73 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.51/0.73 (declare-const tptp.powersetAx Bool) % 0.51/0.73 (declare-const tptp.nonemptyImpWitness Bool) % 0.51/0.73 (declare-const tptp.omegaSAx Bool) % 0.51/0.73 (declare-const tptp.setext Bool) % 0.51/0.73 (declare-const tptp.setadjoinAx Bool) % 0.51/0.73 (declare-const tptp.powersetI Bool) % 0.51/0.73 (declare-const tptp.setbeta Bool) % 0.51/0.73 (declare-const tptp.dsetconstrER Bool) % 0.51/0.73 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.73 (declare-const tptp.exuE2 Bool) % 0.51/0.73 (declare-const tptp.setadjoinIR Bool) % 0.51/0.73 (declare-const tptp.notinemptyset Bool) % 0.51/0.73 (declare-const tptp.foundationAx Bool) % 0.51/0.73 (declare-const tptp.setextAx Bool) % 0.51/0.73 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.51/0.73 (declare-const tptp.emptysetAx Bool) % 0.51/0.73 (declare-const tptp.dsetconstrEL Bool) % 0.51/0.73 (declare-const tptp.replAx Bool) % 0.51/0.73 (declare-const tptp.emptysetimpfalse Bool) % 0.51/0.73 (declare-const tptp.wellorderingAx Bool) % 0.51/0.73 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.51/0.73 (declare-const tptp.emptyinPowerset Bool) % 0.51/0.73 (declare-const tptp.exuE1 Bool) % 0.51/0.73 (declare-const tptp.descrp Bool) % 0.51/0.73 (declare-const tptp.dsetconstrI Bool) % 0.51/0.73 (declare-const tptp.omega $$unsorted) % 0.51/0.73 (declare-const tptp.exuE3e Bool) % 0.51/0.73 (declare-const tptp.prop2setE Bool) % 0.51/0.73 (declare-const tptp.setunionAx Bool) % 0.51/0.73 (declare-const tptp.emptysetE Bool) % 0.51/0.73 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.51/0.73 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.51/0.73 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.51/0.73 (define @t1 () (@var "B" $$unsorted)) % 0.51/0.73 (define @t2 () (@var "A" $$unsorted)) % 0.51/0.73 (define @t3 () (= @t2 @t1)) % 0.51/0.73 (define @t4 () (@var "Xx" $$unsorted)) % 0.51/0.73 (define @t5 () (_ tptp.in @t4)) % 0.51/0.73 (define @t6 () (_ @t5 @t1)) % 0.51/0.73 (define @t7 () (_ @t5 @t2)) % 0.51/0.73 (define @t8 () (= @t7 @t6)) % 0.51/0.73 (define @t9 () (@list @t4)) % 0.51/0.73 (define @t10 () (forall @t9 @t8)) % 0.51/0.73 (define @t11 () (=> @t10 @t3)) % 0.51/0.73 (define @t12 () (@list @t2 @t1)) % 0.51/0.73 (define @t13 () (forall @t12 @t11)) % 0.51/0.73 (define @t14 () (= tptp.setextAx @t13)) % 0.51/0.73 (define @t15 () (_ @t5 tptp.emptyset)) % 0.51/0.73 (define @t16 () (not @t15)) % 0.51/0.73 (define @t17 () (forall @t9 @t16)) % 0.51/0.73 (define @t18 () (= tptp.emptysetAx @t17)) % 0.51/0.73 (define @t19 () (@var "Xy" $$unsorted)) % 0.51/0.73 (define @t20 () (_ tptp.in @t19)) % 0.51/0.73 (define @t21 () (_ @t20 @t2)) % 0.51/0.73 (define @t22 () (= @t19 @t4)) % 0.51/0.73 (define @t23 () (or @t22 @t21)) % 0.51/0.73 (define @t24 () (_ tptp.setadjoin @t4)) % 0.51/0.73 (define @t25 () (_ @t24 @t2)) % 0.51/0.73 (define @t26 () (_ @t20 @t25)) % 0.51/0.73 (define @t27 () (= @t26 @t23)) % 0.51/0.73 (define @t28 () (@list @t4 @t2 @t19)) % 0.51/0.73 (define @t29 () (forall @t28 @t27)) % 0.51/0.73 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.51/0.73 (define @t31 () (=> @t6 @t7)) % 0.51/0.73 (define @t32 () (forall @t9 @t31)) % 0.51/0.73 (define @t33 () (_ tptp.powerset @t2)) % 0.51/0.73 (define @t34 () (_ tptp.in @t1)) % 0.51/0.73 (define @t35 () (_ @t34 @t33)) % 0.51/0.73 (define @t36 () (= @t35 @t32)) % 0.51/0.73 (define @t37 () (forall @t12 @t36)) % 0.51/0.73 (define @t38 () (= tptp.powersetAx @t37)) % 0.51/0.73 (define @t39 () (_ @t34 @t2)) % 0.51/0.73 (define @t40 () (and @t6 @t39)) % 0.51/0.73 (define @t41 () (@list @t1)) % 0.51/0.73 (define @t42 () (exists @t41 @t40)) % 0.51/0.73 (define @t43 () (_ tptp.setunion @t2)) % 0.51/0.73 (define @t44 () (_ @t5 @t43)) % 0.51/0.73 (define @t45 () (= @t44 @t42)) % 0.51/0.73 (define @t46 () (@list @t2 @t4)) % 0.51/0.73 (define @t47 () (forall @t46 @t45)) % 0.51/0.73 (define @t48 () (= tptp.setunionAx @t47)) % 0.51/0.73 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.51/0.73 (define @t50 () (_ @t49 tptp.omega)) % 0.51/0.73 (define @t51 () (_ @t24 @t4)) % 0.51/0.73 (define @t52 () (_ tptp.in @t51)) % 0.51/0.73 (define @t53 () (_ @t52 tptp.omega)) % 0.51/0.73 (define @t54 () (_ @t5 tptp.omega)) % 0.51/0.73 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.51/0.73 (define @t56 () (= tptp.omegaSAx @t55)) % 0.51/0.73 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.51/0.73 (define @t58 () (_ @t52 @t2)) % 0.51/0.73 (define @t59 () (and @t54 @t7)) % 0.51/0.73 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.51/0.73 (define @t61 () (_ @t49 @t2)) % 0.51/0.73 (define @t62 () (and @t61 @t60)) % 0.51/0.73 (define @t63 () (=> @t62 @t57)) % 0.51/0.73 (define @t64 () (@list @t2)) % 0.51/0.73 (define @t65 () (forall @t64 @t63)) % 0.51/0.73 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.51/0.73 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.51/0.73 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.51/0.73 (define @t69 () (and @t21 @t68)) % 0.51/0.73 (define @t70 () (@list @t19)) % 0.51/0.73 (define @t71 () (exists @t70 @t69)) % 0.51/0.73 (define @t72 () (= @t6 @t71)) % 0.51/0.73 (define @t73 () (forall @t9 @t72)) % 0.51/0.73 (define @t74 () (exists @t41 @t73)) % 0.51/0.73 (define @t75 () (_ @t67 @t4)) % 0.51/0.73 (define @t76 () (_ @t75 @t19)) % 0.51/0.73 (define @t77 () (lambda @t70 @t76)) % 0.51/0.73 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.51/0.73 (define @t79 () (forall @t9 @t78)) % 0.51/0.73 (define @t80 () (=> @t79 @t74)) % 0.51/0.73 (define @t81 () (@list @t67 @t2)) % 0.51/0.73 (define @t82 () (forall @t81 @t80)) % 0.51/0.73 (define @t83 () (= tptp.replAx @t82)) % 0.51/0.73 (define @t84 () (and @t6 @t7)) % 0.51/0.73 (define @t85 () (exists @t9 @t84)) % 0.51/0.73 (define @t86 () (not @t85)) % 0.51/0.73 (define @t87 () (and @t39 @t86)) % 0.51/0.73 (define @t88 () (exists @t41 @t87)) % 0.51/0.73 (define @t89 () (exists @t9 @t7)) % 0.51/0.73 (define @t90 () (=> @t89 @t88)) % 0.51/0.73 (define @t91 () (forall @t64 @t90)) % 0.51/0.73 (define @t92 () (= tptp.foundationAx @t91)) % 0.51/0.73 (define @t93 () (@var "E" $$unsorted)) % 0.51/0.73 (define @t94 () (_ @t5 @t93)) % 0.51/0.73 (define @t95 () (@var "D" $$unsorted)) % 0.51/0.73 (define @t96 () (_ @t20 @t95)) % 0.51/0.73 (define @t97 () (_ @t20 @t93)) % 0.51/0.73 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.51/0.73 (define @t99 () (or @t98 @t94)) % 0.51/0.73 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.51/0.73 (define @t101 () (=> @t100 @t99)) % 0.51/0.73 (define @t102 () (@list @t93)) % 0.51/0.73 (define @t103 () (forall @t102 @t101)) % 0.51/0.73 (define @t104 () (@var "C" $$unsorted)) % 0.51/0.73 (define @t105 () (_ @t20 @t104)) % 0.51/0.73 (define @t106 () (and @t96 @t105)) % 0.51/0.73 (define @t107 () (exists @t70 @t106)) % 0.51/0.73 (define @t108 () (not @t107)) % 0.51/0.73 (define @t109 () (_ @t5 @t104)) % 0.51/0.73 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.51/0.73 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.51/0.73 (define @t112 () (@list @t95 @t4)) % 0.51/0.73 (define @t113 () (exists @t112 @t111)) % 0.51/0.73 (define @t114 () (exists @t9 @t109)) % 0.51/0.73 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.51/0.73 (define @t116 () (and @t115 @t114)) % 0.51/0.73 (define @t117 () (=> @t116 @t113)) % 0.51/0.73 (define @t118 () (@list @t104)) % 0.51/0.73 (define @t119 () (forall @t118 @t117)) % 0.51/0.73 (define @t120 () (_ @t5 @t95)) % 0.51/0.73 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.51/0.73 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.51/0.73 (define @t123 () (or @t122 @t121)) % 0.51/0.73 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.51/0.73 (define @t125 () (and @t124 @t110)) % 0.51/0.73 (define @t126 () (=> @t125 @t123)) % 0.51/0.73 (define @t127 () (@list @t104 @t95)) % 0.51/0.73 (define @t128 () (forall @t127 @t126)) % 0.51/0.73 (define @t129 () (= @t4 @t19)) % 0.51/0.73 (define @t130 () (= @t109 @t105)) % 0.51/0.73 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.51/0.73 (define @t132 () (=> @t131 @t129)) % 0.51/0.73 (define @t133 () (and @t7 @t21)) % 0.51/0.73 (define @t134 () (=> @t133 @t132)) % 0.51/0.73 (define @t135 () (@list @t4 @t19)) % 0.51/0.73 (define @t136 () (forall @t135 @t134)) % 0.51/0.73 (define @t137 () (=> @t124 @t115)) % 0.51/0.73 (define @t138 () (forall @t118 @t137)) % 0.51/0.73 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.51/0.73 (define @t140 () (exists @t41 @t139)) % 0.51/0.73 (define @t141 () (forall @t64 @t140)) % 0.51/0.73 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.51/0.73 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.51/0.73 (define @t144 () (_ @t143 @t4)) % 0.51/0.73 (define @t145 () (lambda @t9 @t144)) % 0.51/0.73 (define @t146 () (_ tptp.descr @t145)) % 0.51/0.73 (define @t147 () (_ @t143 @t146)) % 0.51/0.73 (define @t148 () (_ tptp.exu @t145)) % 0.51/0.73 (define @t149 () (=> @t148 @t147)) % 0.51/0.73 (define @t150 () (@list @t143)) % 0.51/0.73 (define @t151 () (forall @t150 @t149)) % 0.51/0.73 (define @t152 () (= tptp.descrp @t151)) % 0.51/0.73 (define @t153 () (_ @t143 @t19)) % 0.51/0.73 (define @t154 () (lambda @t70 @t153)) % 0.51/0.73 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.51/0.73 (define @t156 () (_ @t155 @t154)) % 0.51/0.73 (define @t157 () (_ @t5 @t156)) % 0.51/0.73 (define @t158 () (=> @t144 @t157)) % 0.51/0.73 (define @t159 () (@list @t2 @t143 @t4)) % 0.51/0.73 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.51/0.73 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.51/0.73 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.51/0.73 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.51/0.73 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.51/0.73 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.51/0.73 (define @t166 () (forall @t70 (=> @t153 @t129))) % 0.51/0.73 (define @t167 () (and @t144 @t166)) % 0.51/0.73 (define @t168 () (exists @t9 @t167)) % 0.51/0.73 (define @t169 () (=> @t148 @t168)) % 0.51/0.73 (define @t170 () (forall @t150 @t169)) % 0.51/0.73 (define @t171 () (= tptp.exuE1 @t170)) % 0.51/0.73 (define @t172 () (@var "Xphi" Bool)) % 0.51/0.73 (define @t173 () (=> (_ @t5 (_ tptp.prop2set @t172)) @t172)) % 0.51/0.73 (define @t174 () (@list @t172 @t4)) % 0.51/0.73 (define @t175 () (forall @t174 @t173)) % 0.51/0.73 (define @t176 () (= tptp.prop2setE @t175)) % 0.51/0.73 (define @t177 () (@list @t172)) % 0.51/0.73 (define @t178 () (forall @t177 @t172)) % 0.51/0.73 (define @t179 () (=> @t15 @t178)) % 0.51/0.73 (define @t180 () (forall @t9 @t179)) % 0.51/0.73 (define @t181 () (= tptp.emptysetE @t180)) % 0.51/0.73 (define @t182 () (forall @t9 (=> @t15 false))) % 0.51/0.73 (define @t183 () (= tptp.emptysetimpfalse @t182)) % 0.51/0.73 (define @t184 () (exists @t9 @t144)) % 0.51/0.73 (define @t185 () (=> @t148 @t184)) % 0.51/0.73 (define @t186 () (forall @t150 @t185)) % 0.51/0.73 (define @t187 () (= tptp.exuE3e @t186)) % 0.51/0.73 (define @t188 () (=> @t32 @t3)) % 0.51/0.73 (define @t189 () (forall @t9 (=> @t7 @t6))) % 0.51/0.73 (define @t190 () (=> @t189 @t188)) % 0.51/0.73 (define @t191 () (forall @t12 @t190)) % 0.51/0.73 (define @t192 () (= tptp.setext @t191)) % 0.51/0.73 (define @t193 () (= @t2 tptp.emptyset)) % 0.51/0.73 (define @t194 () (not @t7)) % 0.51/0.73 (define @t195 () (forall @t9 @t194)) % 0.51/0.73 (define @t196 () (=> @t195 @t193)) % 0.51/0.73 (define @t197 () (forall @t64 @t196)) % 0.51/0.73 (define @t198 () (= tptp.emptyI @t197)) % 0.51/0.73 (define @t199 () (=> @t7 (= @t157 @t144))) % 0.51/0.73 (define @t200 () (forall @t159 @t199)) % 0.51/0.73 (define @t201 () (= tptp.setbeta @t200)) % 0.51/0.73 (define @t202 () (_ tptp.nonempty @t2)) % 0.51/0.73 (define @t203 () (=> @t202 @t89)) % 0.51/0.73 (define @t204 () (forall @t64 @t203)) % 0.51/0.73 (define @t205 () (= tptp.nonemptyE1 @t204)) % 0.51/0.73 (define @t206 () (=> @t144 (_ tptp.nonempty @t156))) % 0.51/0.73 (define @t207 () (=> @t7 @t206)) % 0.51/0.73 (define @t208 () (forall @t159 @t207)) % 0.51/0.73 (define @t209 () (= tptp.nonemptyI @t208)) % 0.51/0.73 (define @t210 () (=> @t89 @t202)) % 0.51/0.73 (define @t211 () (forall @t64 @t210)) % 0.51/0.73 (define @t212 () (= tptp.nonemptyI1 @t211)) % 0.51/0.73 (define @t213 () (_ @t24 @t19)) % 0.51/0.73 (define @t214 () (_ @t5 @t213)) % 0.51/0.73 (define @t215 () (forall @t135 @t214)) % 0.51/0.73 (define @t216 () (= tptp.setadjoinIL @t215)) % 0.51/0.73 (define @t217 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.51/0.73 (define @t218 () (_ @t49 @t217)) % 0.51/0.73 (define @t219 () (forall @t28 (=> @t21 @t26))) % 0.51/0.73 (define @t220 () (= tptp.setadjoinIR @t219)) % 0.51/0.73 (define @t221 () (=> @t21 @t172)) % 0.51/0.73 (define @t222 () (=> @t221 @t172)) % 0.51/0.73 (define @t223 () (=> @t22 @t172)) % 0.51/0.73 (define @t224 () (=> @t223 @t222)) % 0.51/0.73 (define @t225 () (forall @t177 @t224)) % 0.51/0.73 (define @t226 () (=> @t26 @t225)) % 0.51/0.73 (define @t227 () (forall @t28 @t226)) % 0.51/0.73 (define @t228 () (= tptp.setadjoinE @t227)) % 0.51/0.73 (define @t229 () (=> @t26 @t23)) % 0.51/0.73 (define @t230 () (forall @t28 @t229)) % 0.51/0.73 (define @t231 () (= tptp.setadjoinOr @t230)) % 0.51/0.73 (define @t232 () (lambda @t9 true)) % 0.51/0.73 (define @t233 () (= (_ @t155 @t232) @t2)) % 0.51/0.73 (define @t234 () (forall @t64 @t233)) % 0.51/0.73 (define @t235 () (= tptp.setoftrueEq @t234)) % 0.51/0.73 (define @t236 () (=> @t32 @t35)) % 0.51/0.73 (define @t237 () (forall @t12 @t236)) % 0.51/0.73 (define @t238 () (= tptp.powersetI @t237)) % 0.51/0.73 (define @t239 () (_ @t49 @t33)) % 0.51/0.73 (define @t240 () (forall @t64 @t239)) % 0.51/0.73 (define @t241 () (= tptp.emptyinPowerset @t240)) % 0.51/0.73 (define @t242 () (@list @t2 @t1 @t4)) % 0.51/0.73 (define @t243 () (forall @t242 (=> @t35 @t31))) % 0.51/0.73 (define @t244 () (= tptp.powersetE @t243)) % 0.51/0.73 (define @t245 () (=> @t39 @t44)) % 0.51/0.73 (define @t246 () (@list @t2 @t4 @t1)) % 0.51/0.73 (define @t247 () (forall @t246 (=> @t6 @t245))) % 0.51/0.73 (define @t248 () (= tptp.setunionI @t247)) % 0.51/0.73 (define @t249 () (=> @t39 @t172)) % 0.51/0.73 (define @t250 () (forall @t41 (=> @t6 @t249))) % 0.51/0.73 (define @t251 () (=> @t250 @t172)) % 0.51/0.73 (define @t252 () (forall @t177 @t251)) % 0.51/0.73 (define @t253 () (=> @t44 @t252)) % 0.51/0.73 (define @t254 () (forall @t46 @t253)) % 0.51/0.73 (define @t255 () (= tptp.setunionE @t254)) % 0.51/0.73 (define @t256 () (_ tptp.powerset @t43)) % 0.51/0.73 (define @t257 () (_ @t5 @t256)) % 0.51/0.73 (define @t258 () (forall @t46 (=> @t7 @t257))) % 0.51/0.73 (define @t259 () (= tptp.subPowSU @t258)) % 0.51/0.73 (define @t260 () (= @t153 @t22)) % 0.51/0.73 (define @t261 () (forall @t70 @t260)) % 0.51/0.73 (define @t262 () (exists @t9 @t261)) % 0.51/0.73 (define @t263 () (=> @t148 @t262)) % 0.51/0.73 (define @t264 () (forall @t150 @t263)) % 0.51/0.73 (define @t265 () (= tptp.exuE2 @t264)) % 0.51/0.73 (define @t266 () (and @t7 true)) % 0.51/0.73 (define @t267 () (exists @t9 @t266)) % 0.51/0.73 (define @t268 () (=> @t202 @t267)) % 0.51/0.73 (define @t269 () (forall @t64 @t268)) % 0.51/0.73 (define @t270 () (= tptp.nonemptyImpWitness @t269)) % 0.51/0.73 (define @t271 () (_ (_ tptp.setadjoin @t19) tptp.emptyset)) % 0.51/0.73 (define @t272 () (_ @t5 @t271)) % 0.51/0.73 (define @t273 () (forall @t135 (=> @t272 @t129))) % 0.51/0.73 (define @t274 () (= tptp.uniqinunit @t273)) % 0.51/0.73 (define @t275 () (_ @t24 tptp.emptyset)) % 0.51/0.73 (define @t276 () (_ @t20 @t275)) % 0.51/0.73 (define @t277 () (not @t276)) % 0.51/0.73 (define @t278 () (not @t129)) % 0.51/0.73 (define @t279 () (forall @t135 (=> @t278 @t277))) % 0.51/0.73 (define @t280 () (=> tptp.uniqinunit @t279)) % 0.51/0.73 (define @t281 () (=> tptp.nonemptyImpWitness @t280)) % 0.51/0.73 (define @t282 () (=> tptp.exuE2 @t281)) % 0.51/0.73 (define @t283 () (=> tptp.subPowSU @t282)) % 0.51/0.73 (define @t284 () (=> tptp.setunionE @t283)) % 0.51/0.73 (define @t285 () (=> tptp.setunionI @t284)) % 0.51/0.73 (define @t286 () (=> tptp.powersetE @t285)) % 0.51/0.73 (define @t287 () (=> tptp.emptyInPowerset @t286)) % 0.51/0.73 (define @t288 () (=> tptp.emptyinPowerset @t287)) % 0.51/0.73 (define @t289 () (=> tptp.powersetI @t288)) % 0.51/0.73 (define @t290 () (=> tptp.setoftrueEq @t289)) % 0.51/0.73 (define @t291 () (=> tptp.setadjoinOr @t290)) % 0.51/0.73 (define @t292 () (=> tptp.setadjoinE @t291)) % 0.51/0.73 (define @t293 () (=> tptp.setadjoinIR @t292)) % 0.51/0.73 (define @t294 () (=> tptp.emptyinunitempty @t293)) % 0.51/0.73 (define @t295 () (=> tptp.setadjoinIL @t294)) % 0.51/0.73 (define @t296 () (=> tptp.nonemptyI1 @t295)) % 0.51/0.73 (define @t297 () (=> tptp.nonemptyI @t296)) % 0.51/0.73 (define @t298 () (=> tptp.nonemptyE1 @t297)) % 0.51/0.73 (define @t299 () (=> tptp.setbeta @t298)) % 0.51/0.73 (define @t300 () (=> tptp.noeltsimpempty @t299)) % 0.51/0.73 (define @t301 () (=> tptp.emptyI @t300)) % 0.51/0.73 (define @t302 () (=> tptp.setext @t301)) % 0.51/0.73 (define @t303 () (=> tptp.exuE3e @t302)) % 0.51/0.73 (define @t304 () (=> tptp.notinemptyset @t303)) % 0.51/0.73 (define @t305 () (=> tptp.emptysetimpfalse @t304)) % 0.51/0.73 (define @t306 () (=> tptp.emptysetE @t305)) % 0.51/0.73 (define @t307 () (=> tptp.prop2setE @t306)) % 0.51/0.73 (define @t308 () (=> tptp.exuE1 @t307)) % 0.51/0.73 (define @t309 () (=> tptp.dsetconstrER @t308)) % 0.51/0.73 (define @t310 () (=> tptp.dsetconstrEL @t309)) % 0.51/0.73 (define @t311 () (=> tptp.dsetconstrI @t310)) % 0.51/0.73 (define @t312 () (=> tptp.descrp @t311)) % 0.51/0.73 (define @t313 () (=> tptp.wellorderingAx @t312)) % 0.51/0.73 (define @t314 () (=> tptp.foundationAx @t313)) % 0.51/0.73 (define @t315 () (=> tptp.replAx @t314)) % 0.51/0.73 (define @t316 () (=> tptp.omegaIndAx @t315)) % 0.51/0.73 (define @t317 () (=> tptp.omegaSAx @t316)) % 0.51/0.73 (define @t318 () (=> tptp.omega0Ax @t317)) % 0.51/0.73 (define @t319 () (=> tptp.setunionAx @t318)) % 0.51/0.73 (define @t320 () (=> tptp.powersetAx @t319)) % 0.51/0.73 (define @t321 () (=> tptp.setadjoinAx @t320)) % 0.51/0.73 (define @t322 () (=> tptp.emptysetAx @t321)) % 0.51/0.73 (define @t323 () (=> tptp.setextAx @t322)) % 0.51/0.73 (define @t324 () (not @t323)) % 0.51/0.73 (define @t325 () (lambda @t150 @t168)) % 0.51/0.73 (define @t326 () (lambda @t9 @t172)) % 0.51/0.73 (define @t327 () (_ tptp.powerset tptp.emptyset)) % 0.51/0.73 (define @t328 () (_ tptp.dsetconstr @t327)) % 0.51/0.73 (define @t329 () (_ @t328 @t326)) % 0.51/0.73 (define @t330 () (lambda @t177 @t329)) % 0.51/0.73 (define @t331 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.51/0.73 (define @t332 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.51/0.73 (define @t333 () (tptp.in @t19 @t332)) % 0.51/0.73 (define @t334 () (forall @t135 (or @t129 (not @t333)))) % 0.51/0.73 (define @t335 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.51/0.73 (define @t336 () (tptp.in @t4 @t335)) % 0.51/0.73 (define @t337 () (forall @t135 (or (not @t336) @t129))) % 0.51/0.73 (define @t338 () (tptp.in @t4 @t2)) % 0.51/0.73 (define @t339 () (not @t338)) % 0.51/0.73 (define @t340 () (forall @t9 @t339)) % 0.51/0.73 (define @t341 () (not @t340)) % 0.51/0.73 (define @t342 () (forall @t64 (or @t193 @t341))) % 0.51/0.73 (define @t343 () (@var "BOUND_VARIABLE_8713" $$unsorted)) % 0.51/0.73 (define @t344 () (_ @t143 @t19)) % 0.51/0.73 (define @t345 () (not @t344)) % 0.51/0.73 (define @t346 () (not (_ @t143 @t343))) % 0.51/0.73 (define @t347 () (forall @t70 (= @t129 @t344))) % 0.51/0.73 (define @t348 () (not (forall @t9 (not @t347)))) % 0.51/0.73 (define @t349 () (@list @t143 @t343)) % 0.51/0.73 (define @t350 () (tptp.setunion @t2)) % 0.51/0.73 (define @t351 () (tptp.powerset @t350)) % 0.51/0.73 (define @t352 () (tptp.in @t4 @t351)) % 0.51/0.73 (define @t353 () (tptp.in @t1 @t2)) % 0.51/0.73 (define @t354 () (not @t353)) % 0.51/0.73 (define @t355 () (tptp.in @t4 @t1)) % 0.51/0.73 (define @t356 () (not @t355)) % 0.51/0.73 (define @t357 () (forall @t41 (or @t356 @t354))) % 0.51/0.73 (define @t358 () (not @t357)) % 0.51/0.73 (define @t359 () (tptp.in @t4 @t350)) % 0.51/0.73 (define @t360 () (tptp.powerset @t2)) % 0.51/0.73 (define @t361 () (tptp.in @t1 @t360)) % 0.51/0.73 (define @t362 () (tptp.in tptp.emptyset @t360)) % 0.51/0.73 (define @t363 () (forall @t64 @t362)) % 0.51/0.73 (define @t364 () (forall @t9 (or @t356 @t338))) % 0.51/0.73 (define @t365 () (not @t364)) % 0.51/0.73 (define @t366 () (@var "BOUND_VARIABLE_15631" $$unsorted)) % 0.51/0.73 (define @t367 () (lambda (@list @t366) true)) % 0.51/0.73 (define @t368 () (tptp.dsetconstr @t2 @t367)) % 0.51/0.73 (define @t369 () (tptp.in @t19 @t2)) % 0.51/0.73 (define @t370 () (tptp.setadjoin @t4 @t2)) % 0.51/0.73 (define @t371 () (tptp.in @t19 @t370)) % 0.51/0.73 (define @t372 () (forall @t28 (or (not @t371) @t129 @t369))) % 0.51/0.73 (define @t373 () (not @t369)) % 0.51/0.73 (define @t374 () (=> (forall @t28 (or @t373 @t371)) (=> @t372 (=> @t372 (=> (forall @t64 (= @t2 @t368)) (=> (forall @t12 (or @t365 @t361)) (=> @t363 (=> @t363 (=> (forall @t242 (or (not @t361) @t356 @t338)) (=> (forall @t246 (or @t356 @t354 @t359)) (=> (forall @t46 (or (not @t359) @t358)) (=> (forall @t46 (or @t339 @t352)) (=> (forall @t349 (or @t348 @t346 (not (forall @t70 (or @t345 (= @t19 @t343)))))) (=> @t342 (=> @t337 @t334))))))))))))))) % 0.51/0.73 (define @t375 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.51/0.73 (define @t376 () (tptp.in tptp.emptyset @t375)) % 0.51/0.73 (define @t377 () (=> @t218 @t374)) % 0.51/0.73 (define @t378 () (tptp.setadjoin @t4 @t19)) % 0.51/0.73 (define @t379 () (tptp.in @t4 @t378)) % 0.51/0.73 (define @t380 () (forall @t135 @t379)) % 0.51/0.73 (define @t381 () (=> @t380 @t377)) % 0.51/0.73 (define @t382 () (@var "BOUND_VARIABLE_8554" $$unsorted)) % 0.51/0.73 (define @t383 () (not (tptp.in @t382 tptp.emptyset))) % 0.51/0.73 (define @t384 () (@list @t382)) % 0.51/0.73 (define @t385 () (forall @t384 @t383)) % 0.51/0.73 (define @t386 () (=> @t385 @t381)) % 0.51/0.73 (define @t387 () (tptp.dsetconstr @t2 @t143)) % 0.51/0.73 (define @t388 () (_ @t143 @t4)) % 0.51/0.73 (define @t389 () (not @t388)) % 0.51/0.73 (define @t390 () (forall @t159 (or @t339 @t389 (not (= tptp.emptyset @t387))))) % 0.51/0.73 (define @t391 () (=> @t390 @t386)) % 0.51/0.73 (define @t392 () (=> @t342 @t391)) % 0.51/0.73 (define @t393 () (tptp.in @t4 @t387)) % 0.51/0.73 (define @t394 () (forall @t159 (or @t339 (= @t388 @t393)))) % 0.51/0.73 (define @t395 () (=> @t394 @t392)) % 0.51/0.73 (define @t396 () (forall @t64 (or @t341 @t193))) % 0.51/0.73 (define @t397 () (=> @t396 @t395)) % 0.51/0.73 (define @t398 () (=> @t396 @t397)) % 0.51/0.73 (define @t399 () (forall @t9 (or @t339 @t355))) % 0.51/0.73 (define @t400 () (not @t399)) % 0.51/0.73 (define @t401 () (or @t400 @t365 @t3)) % 0.51/0.73 (define @t402 () (forall @t12 @t401)) % 0.51/0.73 (define @t403 () (=> @t402 @t398)) % 0.51/0.73 (define @t404 () (@var "BOUND_VARIABLE_8451" $$unsorted)) % 0.51/0.73 (define @t405 () (not (_ @t143 @t404))) % 0.51/0.73 (define @t406 () (not (forall @t9 @t389))) % 0.51/0.73 (define @t407 () (@list @t143 @t404)) % 0.51/0.73 (define @t408 () (forall @t407 (or @t406 @t405 (not (forall @t70 (or @t345 (= @t19 @t404))))))) % 0.51/0.73 (define @t409 () (=> @t408 @t403)) % 0.51/0.73 (define @t410 () (tptp.in @t4 tptp.emptyset)) % 0.51/0.73 (define @t411 () (forall @t9 (not @t410))) % 0.51/0.73 (define @t412 () (=> @t411 @t409)) % 0.51/0.73 (define @t413 () (=> @t411 @t412)) % 0.51/0.73 (define @t414 () (=> @t411 @t413)) % 0.51/0.73 (define @t415 () (@var "BOUND_VARIABLE_15202" $$unsorted)) % 0.51/0.73 (define @t416 () (lambda (@list @t415) false)) % 0.51/0.73 (define @t417 () (tptp.powerset tptp.emptyset)) % 0.51/0.73 (define @t418 () (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t417 @t416))))) % 0.51/0.73 (define @t419 () (=> @t418 @t414)) % 0.51/0.73 (define @t420 () (not @t393)) % 0.51/0.73 (define @t421 () (forall @t159 (or @t420 @t388))) % 0.51/0.73 (define @t422 () (=> @t421 @t419)) % 0.51/0.73 (define @t423 () (forall @t159 (or @t420 @t338))) % 0.51/0.73 (define @t424 () (=> @t423 @t422)) % 0.51/0.73 (define @t425 () (forall @t159 (or @t339 @t389 @t393))) % 0.51/0.73 (define @t426 () (=> @t425 @t424)) % 0.51/0.73 (define @t427 () (@var "BOUND_VARIABLE_8322" $$unsorted)) % 0.51/0.73 (define @t428 () (not (_ @t143 @t427))) % 0.51/0.73 (define @t429 () (_ @t143 (tptp.descr @t143))) % 0.51/0.73 (define @t430 () (@list @t143 @t427)) % 0.51/0.73 (define @t431 () (forall @t430 (or @t429 @t428 (not (forall @t70 (or @t345 (= @t19 @t427))))))) % 0.51/0.73 (define @t432 () (=> @t431 @t426)) % 0.51/0.73 (define @t433 () (@var "BOUND_VARIABLE_8242" $$unsorted)) % 0.51/0.73 (define @t434 () (tptp.in @t433 @t95)) % 0.51/0.73 (define @t435 () (not (tptp.in @t433 @t93))) % 0.51/0.73 (define @t436 () (tptp.in @t4 @t93)) % 0.51/0.73 (define @t437 () (tptp.in @t93 @t1)) % 0.51/0.73 (define @t438 () (not @t437)) % 0.51/0.73 (define @t439 () (or @t438 @t436 @t435 @t434)) % 0.51/0.73 (define @t440 () (@list @t93 @t433)) % 0.51/0.73 (define @t441 () (forall @t440 @t439)) % 0.51/0.73 (define @t442 () (not @t441)) % 0.51/0.73 (define @t443 () (tptp.in @t19 @t104)) % 0.51/0.73 (define @t444 () (tptp.in @t19 @t95)) % 0.51/0.73 (define @t445 () (forall @t70 (or (not @t444) (not @t443)))) % 0.51/0.73 (define @t446 () (not @t445)) % 0.51/0.73 (define @t447 () (tptp.in @t4 @t104)) % 0.51/0.73 (define @t448 () (not @t447)) % 0.51/0.73 (define @t449 () (tptp.in @t95 @t1)) % 0.51/0.73 (define @t450 () (not @t449)) % 0.51/0.73 (define @t451 () (not (forall @t112 (or @t450 @t448 @t446 @t442)))) % 0.51/0.73 (define @t452 () (@var "BOUND_VARIABLE_8271" $$unsorted)) % 0.51/0.73 (define @t453 () (not (tptp.in @t452 @t104))) % 0.51/0.73 (define @t454 () (forall @t9 (or @t448 @t338))) % 0.51/0.73 (define @t455 () (not @t454)) % 0.51/0.73 (define @t456 () (or @t455 @t453 @t451)) % 0.51/0.73 (define @t457 () (forall (@list @t104 @t452) @t456)) % 0.51/0.73 (define @t458 () (not @t457)) % 0.51/0.73 (define @t459 () (@var "BOUND_VARIABLE_8194" $$unsorted)) % 0.51/0.73 (define @t460 () (tptp.in @t459 @t104)) % 0.51/0.73 (define @t461 () (not (tptp.in @t459 @t95))) % 0.51/0.73 (define @t462 () (@var "BOUND_VARIABLE_8188" $$unsorted)) % 0.51/0.73 (define @t463 () (tptp.in @t462 @t95)) % 0.51/0.73 (define @t464 () (not (tptp.in @t462 @t104))) % 0.51/0.73 (define @t465 () (tptp.in @t104 @t1)) % 0.51/0.73 (define @t466 () (not @t465)) % 0.51/0.73 (define @t467 () (or @t466 @t450 @t464 @t463 @t461 @t460)) % 0.51/0.73 (define @t468 () (@list @t104 @t95 @t462 @t459)) % 0.51/0.73 (define @t469 () (forall @t468 @t467)) % 0.51/0.73 (define @t470 () (not @t469)) % 0.51/0.73 (define @t471 () (forall @t118 (or @t466 (= @t447 @t443)))) % 0.51/0.73 (define @t472 () (not @t471)) % 0.51/0.73 (define @t473 () (forall @t135 (or @t339 @t373 @t472 @t129))) % 0.51/0.73 (define @t474 () (not @t473)) % 0.51/0.73 (define @t475 () (@var "BOUND_VARIABLE_8137" $$unsorted)) % 0.51/0.73 (define @t476 () (tptp.in @t475 @t2)) % 0.51/0.73 (define @t477 () (not (tptp.in @t475 @t104))) % 0.51/0.73 (define @t478 () (or @t466 @t477 @t476)) % 0.51/0.73 (define @t479 () (@list @t104 @t475)) % 0.51/0.73 (define @t480 () (forall @t479 @t478)) % 0.51/0.73 (define @t481 () (not @t480)) % 0.51/0.73 (define @t482 () (or @t481 @t474 @t470 @t458)) % 0.51/0.73 (define @t483 () (forall @t64 (not (forall @t41 @t482)))) % 0.51/0.73 (define @t484 () (=> @t483 @t432)) % 0.51/0.73 (define @t485 () (forall @t9 (or @t356 @t339))) % 0.51/0.73 (define @t486 () (not @t485)) % 0.51/0.73 (define @t487 () (not (forall @t41 (or @t354 @t486)))) % 0.51/0.73 (define @t488 () (@var "BOUND_VARIABLE_8112" $$unsorted)) % 0.51/0.73 (define @t489 () (not (tptp.in @t488 @t2))) % 0.51/0.73 (define @t490 () (or @t489 @t487)) % 0.51/0.73 (define @t491 () (forall (@list @t2 @t488) @t490)) % 0.51/0.73 (define @t492 () (=> @t491 @t484)) % 0.51/0.73 (define @t493 () (_ @t67 @t19 @t4)) % 0.51/0.73 (define @t494 () (not (forall @t70 (or @t373 (not @t493))))) % 0.51/0.73 (define @t495 () (forall @t9 (= @t355 @t494))) % 0.51/0.73 (define @t496 () (not (forall @t41 (not @t495)))) % 0.51/0.73 (define @t497 () (@var "BOUND_VARIABLE_8002" $$unsorted)) % 0.51/0.73 (define @t498 () (= @t19 @t497)) % 0.51/0.73 (define @t499 () (_ @t67 @t4 @t19)) % 0.51/0.73 (define @t500 () (not (forall @t70 (or (not @t499) @t498)))) % 0.51/0.73 (define @t501 () (_ @t67 @t4 @t497)) % 0.51/0.73 (define @t502 () (@list @t497)) % 0.51/0.73 (define @t503 () (not (forall @t502 (or (not @t501) @t500)))) % 0.51/0.73 (define @t504 () (forall @t9 (or @t339 @t503))) % 0.51/0.73 (define @t505 () (forall @t81 (or (not @t504) @t496))) % 0.51/0.73 (define @t506 () (=> @t505 @t492)) % 0.51/0.73 (define @t507 () (@var "BOUND_VARIABLE_7983" $$unsorted)) % 0.51/0.73 (define @t508 () (tptp.in @t507 @t2)) % 0.51/0.73 (define @t509 () (not (tptp.in @t507 tptp.omega))) % 0.51/0.73 (define @t510 () (tptp.setadjoin @t4 @t4)) % 0.51/0.73 (define @t511 () (tptp.in @t510 @t2)) % 0.51/0.73 (define @t512 () (tptp.in @t4 tptp.omega)) % 0.51/0.73 (define @t513 () (not @t512)) % 0.51/0.73 (define @t514 () (forall @t9 (or @t513 @t339 @t511))) % 0.51/0.73 (define @t515 () (not @t514)) % 0.51/0.73 (define @t516 () (tptp.in tptp.emptyset @t2)) % 0.51/0.73 (define @t517 () (not @t516)) % 0.51/0.73 (define @t518 () (or @t517 @t515 @t509 @t508)) % 0.51/0.73 (define @t519 () (@list @t2 @t507)) % 0.51/0.73 (define @t520 () (forall @t519 @t518)) % 0.51/0.73 (define @t521 () (=> @t520 @t506)) % 0.51/0.73 (define @t522 () (tptp.in @t510 tptp.omega)) % 0.51/0.73 (define @t523 () (forall @t9 (or @t513 @t522))) % 0.51/0.73 (define @t524 () (=> @t523 @t521)) % 0.51/0.73 (define @t525 () (tptp.in tptp.emptyset tptp.omega)) % 0.51/0.73 (define @t526 () (=> @t50 @t524)) % 0.51/0.73 (define @t527 () (forall @t46 (= @t358 @t359))) % 0.51/0.73 (define @t528 () (=> @t527 @t526)) % 0.51/0.73 (define @t529 () (forall @t12 (= @t364 @t361))) % 0.51/0.73 (define @t530 () (=> @t529 @t528)) % 0.51/0.73 (define @t531 () (or @t129 @t369)) % 0.51/0.73 (define @t532 () (forall @t28 (= @t371 @t531))) % 0.51/0.73 (define @t533 () (=> @t532 @t530)) % 0.51/0.73 (define @t534 () (=> @t411 @t533)) % 0.51/0.73 (define @t535 () (forall @t9 (= @t338 @t355))) % 0.51/0.73 (define @t536 () (forall @t12 (or (not @t535) @t3))) % 0.51/0.73 (define @t537 () (=> @t536 @t534)) % 0.51/0.73 (define @t538 () (=> @t421 (=> true @t419))) % 0.51/0.73 (define @t539 () (=> @t423 @t538)) % 0.51/0.73 (define @t540 () (=> @t425 @t539)) % 0.51/0.73 (define @t541 () (=> @t431 @t540)) % 0.51/0.73 (define @t542 () (=> @t483 @t541)) % 0.51/0.73 (define @t543 () (=> @t491 @t542)) % 0.51/0.73 (define @t544 () (=> @t505 @t543)) % 0.51/0.73 (define @t545 () (=> @t520 @t544)) % 0.51/0.73 (define @t546 () (=> @t523 @t545)) % 0.51/0.73 (define @t547 () (=> @t50 @t546)) % 0.51/0.73 (define @t548 () (=> @t527 @t547)) % 0.51/0.73 (define @t549 () (=> @t529 @t548)) % 0.51/0.73 (define @t550 () (=> @t532 @t549)) % 0.51/0.73 (define @t551 () (=> @t411 @t550)) % 0.51/0.73 (define @t552 () (=> @t536 @t551)) % 0.51/0.73 (define @t553 () (not @t272)) % 0.51/0.73 (define @t554 () (or @t553 @t129)) % 0.51/0.73 (define @t555 () (=> tptp.uniqinunit @t334)) % 0.51/0.73 (define @t556 () (not @t193)) % 0.51/0.73 (define @t557 () (not @t195)) % 0.51/0.73 (define @t558 () (_ @t331 @t2)) % 0.51/0.73 (define @t559 () (=> @t558 @t267)) % 0.51/0.73 (define @t560 () (forall @t64 @t559)) % 0.51/0.73 (define @t561 () (=> tptp.nonemptyImpWitness @t555)) % 0.51/0.73 (define @t562 () (or @t345 (= @t343 @t19))) % 0.51/0.73 (define @t563 () (forall @t70 @t562)) % 0.51/0.73 (define @t564 () (not @t563)) % 0.51/0.73 (define @t565 () (or @t348 @t346 @t564)) % 0.51/0.73 (define @t566 () (or @t346 @t564)) % 0.51/0.73 (define @t567 () (or @t566 @t348)) % 0.51/0.73 (define @t568 () (forall @t349 @t567)) % 0.51/0.73 (define @t569 () (@list @t343)) % 0.51/0.73 (define @t570 () (forall @t569 @t567)) % 0.51/0.73 (define @t571 () (forall @t569 @t566)) % 0.51/0.73 (define @t572 () (@list @t4)) % 0.51/0.73 (define @t573 () (or @t571 @t348)) % 0.51/0.73 (define @t574 () (forall @t70 (or @t345 @t129))) % 0.51/0.73 (define @t575 () (not @t574)) % 0.51/0.73 (define @t576 () (forall @t9 (or @t389 @t575))) % 0.51/0.73 (define @t577 () (not @t576)) % 0.51/0.73 (define @t578 () (not @t577)) % 0.51/0.73 (define @t579 () (= @t153 @t129)) % 0.51/0.73 (define @t580 () (not @t144)) % 0.51/0.73 (define @t581 () (or @t580 @t575)) % 0.51/0.73 (define @t582 () (not @t153)) % 0.51/0.73 (define @t583 () (or @t582 @t129)) % 0.51/0.73 (define @t584 () (_ @t145 @t19)) % 0.51/0.73 (define @t585 () (not @t584)) % 0.51/0.73 (define @t586 () (or @t585 @t129)) % 0.51/0.73 (define @t587 () (forall @t70 @t586)) % 0.51/0.73 (define @t588 () (not @t587)) % 0.51/0.73 (define @t589 () (_ @t145 @t4)) % 0.51/0.73 (define @t590 () (not @t589)) % 0.51/0.73 (define @t591 () (or @t590 @t588)) % 0.51/0.73 (define @t592 () (forall @t9 @t591)) % 0.51/0.73 (define @t593 () (not @t592)) % 0.51/0.73 (define @t594 () (lambda @t150 @t577)) % 0.51/0.73 (define @t595 () (_ @t594 @t145)) % 0.51/0.73 (define @t596 () (=> @t595 @t262)) % 0.51/0.73 (define @t597 () (forall @t150 @t596)) % 0.51/0.73 (define @t598 () (and @t144 @t574)) % 0.51/0.73 (define @t599 () (forall @t9 (not @t598))) % 0.51/0.73 (define @t600 () (not @t599)) % 0.51/0.73 (define @t601 () (=> tptp.exuE2 @t561)) % 0.51/0.73 (define @t602 () (or @t194 @t257)) % 0.51/0.73 (define @t603 () (=> tptp.subPowSU @t601)) % 0.51/0.73 (define @t604 () (not @t44)) % 0.51/0.73 (define @t605 () (or @t604 @t358)) % 0.51/0.73 (define @t606 () (not false)) % 0.51/0.73 (define @t607 () (and @t606 @t358)) % 0.51/0.73 (define @t608 () (or @t607 false)) % 0.51/0.73 (define @t609 () (not @t172)) % 0.51/0.73 (define @t610 () (and @t609 @t358)) % 0.51/0.73 (define @t611 () (not (= @t172 false))) % 0.51/0.73 (define @t612 () (or @t172 @t610 @t172)) % 0.51/0.73 (define @t613 () (or @t610 @t172)) % 0.51/0.73 (define @t614 () (or @t172 @t357)) % 0.51/0.73 (define @t615 () (not @t39)) % 0.51/0.73 (define @t616 () (not @t6)) % 0.51/0.73 (define @t617 () (or @t616 @t615)) % 0.51/0.73 (define @t618 () (forall @t41 @t617)) % 0.51/0.73 (define @t619 () (or @t172 @t618)) % 0.51/0.73 (define @t620 () (or @t172 @t617)) % 0.51/0.73 (define @t621 () (or @t616 @t615 @t172)) % 0.51/0.73 (define @t622 () (=> tptp.setunionE @t603)) % 0.51/0.73 (define @t623 () (or @t616 @t615 @t44)) % 0.51/0.73 (define @t624 () (=> tptp.setunionI @t622)) % 0.51/0.73 (define @t625 () (not @t35)) % 0.51/0.73 (define @t626 () (or @t625 @t616 @t7)) % 0.51/0.73 (define @t627 () (or @t616 @t7)) % 0.51/0.73 (define @t628 () (=> tptp.powersetE @t624)) % 0.51/0.73 (define @t629 () (=> tptp.emptyInPowerset @t628)) % 0.51/0.73 (define @t630 () (=> tptp.emptyinPowerset @t629)) % 0.51/0.73 (define @t631 () (or @t365 @t35)) % 0.51/0.73 (define @t632 () (=> tptp.powersetI @t630)) % 0.51/0.73 (define @t633 () (_ @t155 @t367)) % 0.51/0.73 (define @t634 () (= @t2 @t633)) % 0.51/0.73 (define @t635 () (=> tptp.setoftrueEq @t632)) % 0.51/0.73 (define @t636 () (not @t26)) % 0.51/0.73 (define @t637 () (or @t636 @t129 @t21)) % 0.51/0.73 (define @t638 () (or @t129 @t21)) % 0.51/0.73 (define @t639 () (=> tptp.setadjoinOr @t635)) % 0.51/0.73 (define @t640 () (or @t636 @t129 @t369)) % 0.51/0.73 (define @t641 () (and @t369 @t606)) % 0.51/0.73 (define @t642 () (and @t129 @t606)) % 0.51/0.73 (define @t643 () (or @t642 @t641)) % 0.51/0.73 (define @t644 () (or @t642 @t641 false)) % 0.51/0.73 (define @t645 () (and @t369 @t609)) % 0.51/0.73 (define @t646 () (and @t129 @t609)) % 0.51/0.73 (define @t647 () (or @t172 @t646 @t645 @t172)) % 0.51/0.73 (define @t648 () (or @t646 @t645 @t172)) % 0.51/0.73 (define @t649 () (and @t21 @t609)) % 0.51/0.73 (define @t650 () (or @t646 @t649 @t172)) % 0.51/0.73 (define @t651 () (=> @t129 @t172)) % 0.51/0.73 (define @t652 () (=> tptp.setadjoinE @t639)) % 0.51/0.73 (define @t653 () (not @t21)) % 0.51/0.73 (define @t654 () (or @t653 @t26)) % 0.51/0.73 (define @t655 () (=> tptp.setadjoinIR @t652)) % 0.51/0.73 (define @t656 () (=> tptp.emptyinunitempty @t655)) % 0.51/0.73 (define @t657 () (=> tptp.setadjoinIL @t656)) % 0.51/0.73 (define @t658 () (not (= tptp.emptyset tptp.emptyset))) % 0.51/0.73 (define @t659 () (or @t383 @t658)) % 0.51/0.73 (define @t660 () (not (tptp.in @t382 @t2))) % 0.51/0.73 (define @t661 () (or @t556 @t660 @t556)) % 0.51/0.73 (define @t662 () (or @t660 @t556)) % 0.51/0.73 (define @t663 () (forall @t64 @t662)) % 0.51/0.73 (define @t664 () (forall @t384 @t663)) % 0.51/0.73 (define @t665 () (forall (@list @t382 @t2) @t662)) % 0.51/0.73 (define @t666 () (forall (@list @t2 @t382) @t662)) % 0.51/0.73 (define @t667 () (forall @t384 @t662)) % 0.51/0.73 (define @t668 () (forall @t384 @t660)) % 0.51/0.73 (define @t669 () (or @t668 @t556)) % 0.51/0.73 (define @t670 () (not @t341)) % 0.51/0.73 (define @t671 () (=> @t89 @t558)) % 0.51/0.73 (define @t672 () (forall @t64 @t671)) % 0.51/0.73 (define @t673 () (=> tptp.nonemptyI1 @t657)) % 0.51/0.73 (define @t674 () (lambda @t70 @t344)) % 0.51/0.73 (define @t675 () (tptp.dsetconstr @t2 @t674)) % 0.51/0.73 (define @t676 () (= tptp.emptyset @t675)) % 0.51/0.73 (define @t677 () (not @t676)) % 0.51/0.73 (define @t678 () (or @t339 @t389 @t677)) % 0.51/0.73 (define @t679 () (= tptp.emptyset @t156)) % 0.51/0.73 (define @t680 () (not @t679)) % 0.51/0.73 (define @t681 () (or @t194 @t580 @t680)) % 0.51/0.73 (define @t682 () (=> @t144 @t680)) % 0.51/0.73 (define @t683 () (not (= @t156 tptp.emptyset))) % 0.51/0.73 (define @t684 () (_ @t331 @t156)) % 0.51/0.73 (define @t685 () (=> @t144 @t684)) % 0.51/0.73 (define @t686 () (=> @t7 @t685)) % 0.51/0.73 (define @t687 () (forall @t159 @t686)) % 0.51/0.73 (define @t688 () (=> tptp.nonemptyI @t673)) % 0.51/0.73 (define @t689 () (=> @t558 @t89)) % 0.51/0.73 (define @t690 () (forall @t64 @t689)) % 0.51/0.73 (define @t691 () (=> tptp.nonemptyE1 @t688)) % 0.51/0.73 (define @t692 () (tptp.in @t4 @t675)) % 0.51/0.73 (define @t693 () (= @t388 @t692)) % 0.51/0.73 (define @t694 () (or @t339 @t693)) % 0.51/0.73 (define @t695 () (= @t144 @t157)) % 0.51/0.73 (define @t696 () (or @t194 @t695)) % 0.51/0.73 (define @t697 () (=> tptp.setbeta @t691)) % 0.51/0.73 (define @t698 () (=> tptp.noeltsimpempty @t697)) % 0.51/0.73 (define @t699 () (=> tptp.emptyI @t698)) % 0.51/0.73 (define @t700 () (=> @t364 @t3)) % 0.51/0.73 (define @t701 () (or @t194 @t6)) % 0.51/0.73 (define @t702 () (=> tptp.setext @t699)) % 0.51/0.73 (define @t703 () (or @t345 (= @t404 @t19))) % 0.51/0.73 (define @t704 () (forall @t70 @t703)) % 0.51/0.73 (define @t705 () (not @t704)) % 0.51/0.73 (define @t706 () (or @t406 @t405 @t705)) % 0.51/0.73 (define @t707 () (or @t405 @t705)) % 0.51/0.73 (define @t708 () (or @t707 @t406)) % 0.51/0.73 (define @t709 () (forall @t407 @t708)) % 0.51/0.73 (define @t710 () (@list @t404)) % 0.51/0.73 (define @t711 () (forall @t710 @t708)) % 0.51/0.73 (define @t712 () (forall @t710 @t707)) % 0.51/0.73 (define @t713 () (or @t712 @t406)) % 0.51/0.73 (define @t714 () (forall @t9 @t580)) % 0.51/0.73 (define @t715 () (not @t714)) % 0.51/0.73 (define @t716 () (=> @t595 @t184)) % 0.51/0.73 (define @t717 () (forall @t150 @t716)) % 0.51/0.73 (define @t718 () (=> tptp.exuE3e @t702)) % 0.51/0.73 (define @t719 () (=> tptp.notinemptyset @t718)) % 0.51/0.73 (define @t720 () (=> tptp.emptysetimpfalse @t719)) % 0.51/0.73 (define @t721 () (or @t172 @t172)) % 0.51/0.73 (define @t722 () (=> tptp.emptysetE @t720)) % 0.51/0.73 (define @t723 () (@var "BOUND_VARIABLE_8396" $$unsorted)) % 0.51/0.73 (define @t724 () (@list @t723)) % 0.51/0.73 (define @t725 () (lambda @t724 false)) % 0.51/0.73 (define @t726 () (@list @t723)) % 0.51/0.73 (define @t727 () (tptp.dsetconstr @t417 @t725)) % 0.51/0.73 (define @t728 () (tptp.in @t4 @t727)) % 0.51/0.73 (define @t729 () (not @t728)) % 0.51/0.73 (define @t730 () (or @t729 false)) % 0.51/0.73 (define @t731 () (lambda @t724 @t172)) % 0.51/0.73 (define @t732 () (tptp.dsetconstr @t417 @t731)) % 0.51/0.73 (define @t733 () (tptp.in @t4 @t732)) % 0.51/0.73 (define @t734 () (not @t733)) % 0.51/0.73 (define @t735 () (or @t172 @t734 @t172)) % 0.51/0.73 (define @t736 () (or @t734 @t172)) % 0.51/0.73 (define @t737 () (forall @t177 @t736)) % 0.51/0.73 (define @t738 () (forall @t9 @t737)) % 0.51/0.73 (define @t739 () (forall (@list @t4 @t172) @t736)) % 0.51/0.73 (define @t740 () (_ @t328 @t731)) % 0.51/0.73 (define @t741 () (_ @t5 @t740)) % 0.51/0.73 (define @t742 () (not @t741)) % 0.51/0.73 (define @t743 () (or @t742 @t172)) % 0.51/0.73 (define @t744 () (=> (_ @t5 @t329) @t172)) % 0.51/0.73 (define @t745 () (_ @t330 @t172)) % 0.51/0.73 (define @t746 () (=> (_ @t5 @t745) @t172)) % 0.51/0.73 (define @t747 () (forall @t174 @t746)) % 0.51/0.73 (define @t748 () (=> tptp.prop2setE @t722)) % 0.51/0.73 (define @t749 () (=> @t595 @t168)) % 0.51/0.73 (define @t750 () (forall @t150 @t749)) % 0.51/0.73 (define @t751 () (=> tptp.exuE1 @t748)) % 0.51/0.73 (define @t752 () (not @t692)) % 0.51/0.73 (define @t753 () (or @t752 @t388)) % 0.51/0.73 (define @t754 () (not @t157)) % 0.51/0.73 (define @t755 () (or @t754 @t144)) % 0.51/0.73 (define @t756 () (=> tptp.dsetconstrER @t751)) % 0.51/0.73 (define @t757 () (or @t752 @t338)) % 0.51/0.73 (define @t758 () (or @t754 @t7)) % 0.51/0.73 (define @t759 () (=> tptp.dsetconstrEL @t756)) % 0.51/0.73 (define @t760 () (or @t339 @t389 @t692)) % 0.51/0.73 (define @t761 () (or @t194 @t580 @t157)) % 0.51/0.73 (define @t762 () (=> tptp.dsetconstrI @t759)) % 0.51/0.73 (define @t763 () (or @t345 (= @t427 @t19))) % 0.51/0.73 (define @t764 () (forall @t70 @t763)) % 0.51/0.73 (define @t765 () (not @t764)) % 0.51/0.73 (define @t766 () (or @t429 @t428 @t765)) % 0.51/0.73 (define @t767 () (or @t428 @t765)) % 0.51/0.73 (define @t768 () (or @t767 @t429)) % 0.51/0.73 (define @t769 () (forall @t430 @t768)) % 0.51/0.73 (define @t770 () (@list @t427)) % 0.51/0.73 (define @t771 () (forall @t770 @t768)) % 0.51/0.73 (define @t772 () (forall @t770 @t767)) % 0.51/0.73 (define @t773 () (or @t772 @t429)) % 0.51/0.73 (define @t774 () (lambda @t9 @t388)) % 0.51/0.73 (define @t775 () (tptp.descr @t774)) % 0.51/0.73 (define @t776 () (_ @t143 @t775)) % 0.51/0.73 (define @t777 () (or @t576 @t776)) % 0.51/0.73 (define @t778 () (or @t576 @t147)) % 0.51/0.73 (define @t779 () (=> @t595 @t147)) % 0.51/0.73 (define @t780 () (forall @t150 @t779)) % 0.51/0.73 (define @t781 () (=> tptp.descrp @t762)) % 0.51/0.73 (define @t782 () (and @t480 @t473 @t469 @t457)) % 0.51/0.73 (define @t783 () (forall @t41 (not @t782))) % 0.51/0.73 (define @t784 () (not @t783)) % 0.51/0.73 (define @t785 () (@list @t452)) % 0.51/0.73 (define @t786 () (forall @t785 @t456)) % 0.51/0.73 (define @t787 () (forall @t785 @t453)) % 0.51/0.73 (define @t788 () (or @t455 @t787 @t451)) % 0.51/0.73 (define @t789 () (forall @t9 @t448)) % 0.51/0.73 (define @t790 () (or @t455 @t789 @t451)) % 0.51/0.73 (define @t791 () (not @t789)) % 0.51/0.73 (define @t792 () (and @t454 @t791)) % 0.51/0.73 (define @t793 () (not @t109)) % 0.51/0.73 (define @t794 () (not @t110)) % 0.51/0.73 (define @t795 () (or @t794 @t793 @t446 @t442)) % 0.51/0.73 (define @t796 () (and @t110 @t109 @t445 @t441)) % 0.51/0.73 (define @t797 () (forall @t112 (not @t796))) % 0.51/0.73 (define @t798 () (not @t797)) % 0.51/0.73 (define @t799 () (or @t435 @t434)) % 0.51/0.73 (define @t800 () (or @t438 @t799 @t436)) % 0.51/0.73 (define @t801 () (forall @t440 @t800)) % 0.51/0.73 (define @t802 () (@list @t433)) % 0.51/0.73 (define @t803 () (forall @t802 @t800)) % 0.51/0.73 (define @t804 () (forall @t802 @t799)) % 0.51/0.73 (define @t805 () (or @t438 @t804 @t436)) % 0.51/0.73 (define @t806 () (tptp.in @t19 @t93)) % 0.51/0.73 (define @t807 () (forall @t70 (or (not @t806) @t444))) % 0.51/0.73 (define @t808 () (not @t100)) % 0.51/0.73 (define @t809 () (or @t808 @t807 @t94)) % 0.51/0.73 (define @t810 () (or @t807 @t94)) % 0.51/0.73 (define @t811 () (not @t97)) % 0.51/0.73 (define @t812 () (or @t811 @t96)) % 0.51/0.73 (define @t813 () (not @t105)) % 0.51/0.73 (define @t814 () (not @t96)) % 0.51/0.73 (define @t815 () (or @t814 @t813)) % 0.51/0.73 (define @t816 () (forall @t70 (not @t106))) % 0.51/0.73 (define @t817 () (not @t816)) % 0.51/0.73 (define @t818 () (forall @t9 @t793)) % 0.51/0.73 (define @t819 () (not @t818)) % 0.51/0.73 (define @t820 () (or @t793 @t7)) % 0.51/0.73 (define @t821 () (or @t461 @t460)) % 0.51/0.73 (define @t822 () (or @t464 @t463)) % 0.51/0.73 (define @t823 () (or @t466 @t450 @t822 @t821)) % 0.51/0.73 (define @t824 () (forall @t468 @t823)) % 0.51/0.73 (define @t825 () (forall (@list @t462 @t459) @t823)) % 0.51/0.73 (define @t826 () (forall (@list @t459) @t821)) % 0.51/0.73 (define @t827 () (forall (@list @t462) @t822)) % 0.51/0.73 (define @t828 () (or @t466 @t450 @t827 @t826)) % 0.51/0.73 (define @t829 () (tptp.in @t4 @t95)) % 0.51/0.73 (define @t830 () (forall @t9 (or (not @t829) @t447))) % 0.51/0.73 (define @t831 () (forall @t9 (or @t448 @t829))) % 0.51/0.73 (define @t832 () (not @t124)) % 0.51/0.73 (define @t833 () (or @t832 @t794 @t831 @t830)) % 0.51/0.73 (define @t834 () (or @t831 @t830)) % 0.51/0.73 (define @t835 () (not @t120)) % 0.51/0.73 (define @t836 () (or @t835 @t109)) % 0.51/0.73 (define @t837 () (or @t793 @t120)) % 0.51/0.73 (define @t838 () (or @t194 @t653 @t472 @t129)) % 0.51/0.73 (define @t839 () (=> @t471 @t129)) % 0.51/0.73 (define @t840 () (or @t832 @t130)) % 0.51/0.73 (define @t841 () (or @t477 @t476)) % 0.51/0.73 (define @t842 () (or @t466 @t841)) % 0.51/0.73 (define @t843 () (forall @t479 @t842)) % 0.51/0.73 (define @t844 () (@list @t475)) % 0.51/0.73 (define @t845 () (forall @t844 @t842)) % 0.51/0.73 (define @t846 () (forall @t844 @t841)) % 0.51/0.73 (define @t847 () (or @t466 @t846)) % 0.51/0.73 (define @t848 () (or @t832 @t454)) % 0.51/0.73 (define @t849 () (=> tptp.wellorderingAx @t781)) % 0.51/0.73 (define @t850 () (@list @t488)) % 0.51/0.73 (define @t851 () (forall @t850 @t490)) % 0.51/0.73 (define @t852 () (forall @t850 @t489)) % 0.51/0.73 (define @t853 () (or @t852 @t487)) % 0.51/0.73 (define @t854 () (or @t615 @t486)) % 0.51/0.73 (define @t855 () (and @t39 @t485)) % 0.51/0.73 (define @t856 () (forall @t41 (not @t855))) % 0.51/0.73 (define @t857 () (not @t856)) % 0.51/0.73 (define @t858 () (or @t616 @t194)) % 0.51/0.73 (define @t859 () (forall @t9 (not @t84))) % 0.51/0.73 (define @t860 () (not @t859)) % 0.51/0.73 (define @t861 () (=> tptp.foundationAx @t849)) % 0.51/0.73 (define @t862 () (= @t6 @t494)) % 0.51/0.73 (define @t863 () (not @t68)) % 0.51/0.73 (define @t864 () (or @t653 @t863)) % 0.51/0.73 (define @t865 () (forall @t70 (not @t69))) % 0.51/0.73 (define @t866 () (not @t865)) % 0.51/0.73 (define @t867 () (or @t194 @t503)) % 0.51/0.73 (define @t868 () (_ @t75 @t497)) % 0.51/0.73 (define @t869 () (not @t868)) % 0.51/0.73 (define @t870 () (or @t869 @t500)) % 0.51/0.73 (define @t871 () (not @t76)) % 0.51/0.73 (define @t872 () (or @t871 @t498)) % 0.51/0.73 (define @t873 () (_ @t77 @t19)) % 0.51/0.73 (define @t874 () (not @t873)) % 0.51/0.73 (define @t875 () (or @t874 @t498)) % 0.51/0.73 (define @t876 () (forall @t70 @t875)) % 0.51/0.73 (define @t877 () (not @t876)) % 0.51/0.73 (define @t878 () (_ @t77 @t497)) % 0.51/0.73 (define @t879 () (not @t878)) % 0.51/0.73 (define @t880 () (or @t879 @t877)) % 0.51/0.73 (define @t881 () (forall @t502 @t880)) % 0.51/0.73 (define @t882 () (not @t881)) % 0.51/0.73 (define @t883 () (not (_ @t143 @t497))) % 0.51/0.73 (define @t884 () (or @t345 (= @t497 @t19))) % 0.51/0.73 (define @t885 () (forall @t70 @t884)) % 0.51/0.73 (define @t886 () (not @t885)) % 0.51/0.73 (define @t887 () (or @t883 @t886)) % 0.51/0.73 (define @t888 () (forall @t502 @t887)) % 0.51/0.73 (define @t889 () (not @t888)) % 0.51/0.73 (define @t890 () (=> @t7 (_ @t594 @t77))) % 0.51/0.73 (define @t891 () (forall @t9 @t890)) % 0.51/0.73 (define @t892 () (=> @t891 @t74)) % 0.51/0.73 (define @t893 () (forall @t81 @t892)) % 0.51/0.73 (define @t894 () (=> tptp.replAx @t861)) % 0.51/0.73 (define @t895 () (or @t509 @t508)) % 0.51/0.73 (define @t896 () (or @t517 @t515 @t895)) % 0.51/0.73 (define @t897 () (forall @t519 @t896)) % 0.51/0.73 (define @t898 () (@list @t507)) % 0.51/0.73 (define @t899 () (forall @t898 @t896)) % 0.51/0.73 (define @t900 () (forall @t898 @t895)) % 0.51/0.73 (define @t901 () (or @t517 @t515 @t900)) % 0.51/0.73 (define @t902 () (forall @t9 (or @t513 @t338))) % 0.51/0.73 (define @t903 () (not @t61)) % 0.51/0.73 (define @t904 () (or @t903 @t515 @t902)) % 0.51/0.73 (define @t905 () (and @t61 @t514)) % 0.51/0.73 (define @t906 () (not @t54)) % 0.51/0.73 (define @t907 () (or @t906 @t7)) % 0.51/0.73 (define @t908 () (_ tptp.in @t510)) % 0.51/0.73 (define @t909 () (or @t906 @t194 @t58)) % 0.51/0.73 (define @t910 () (=> tptp.omegaIndAx @t894)) % 0.51/0.73 (define @t911 () (or @t906 @t53)) % 0.51/0.73 (define @t912 () (=> tptp.omegaSAx @t910)) % 0.51/0.73 (define @t913 () (=> tptp.omega0Ax @t912)) % 0.51/0.73 (define @t914 () (= @t44 @t358)) % 0.51/0.73 (define @t915 () (forall @t41 (not @t40))) % 0.51/0.73 (define @t916 () (not @t915)) % 0.51/0.73 (define @t917 () (=> tptp.setunionAx @t913)) % 0.51/0.73 (define @t918 () (= @t35 @t364)) % 0.51/0.73 (define @t919 () (=> tptp.powersetAx @t917)) % 0.51/0.73 (define @t920 () (= @t26 @t638)) % 0.51/0.73 (define @t921 () (=> tptp.setadjoinAx @t919)) % 0.51/0.73 (define @t922 () (=> tptp.emptysetAx @t921)) % 0.51/0.73 (define @t923 () (=> tptp.setextAx @t922)) % 0.51/0.73 (define @t924 () (or @t129 @t277)) % 0.51/0.73 (define @t925 () (@quantifiers_skolemize @t334 0)) % 0.51/0.73 (define @t926 () (@quantifiers_skolemize @t334 1)) % 0.51/0.73 (define @t927 () (tptp.in @t926 (tptp.setadjoin @t925 tptp.emptyset))) % 0.51/0.73 (define @t928 () (not @t927)) % 0.51/0.73 (define @t929 () (= @t925 @t926)) % 0.51/0.73 (define @t930 () (or @t929 @t928)) % 0.51/0.73 (define @t931 () (@list true)) % 0.51/0.73 (define @t932 () (@list @t930)) % 0.51/0.73 (define @t933 () (or @t928 @t929)) % 0.51/0.73 (define @t934 () (not @t933)) % 0.51/0.73 (define @t935 () (@list true false)) % 0.51/0.73 (define @t936 () (or @t928 (= @t926 @t925))) % 0.51/0.73 (assume @p1 @t14) % 0.51/0.73 (assume @p2 @t18) % 0.51/0.73 (assume @p3 @t30) % 0.51/0.73 (assume @p4 @t38) % 0.51/0.73 (assume @p5 @t48) % 0.51/0.73 (assume @p6 (= tptp.omega0Ax @t50)) % 0.51/0.73 (assume @p7 @t56) % 0.51/0.73 (assume @p8 @t66) % 0.51/0.73 (assume @p9 @t83) % 0.51/0.73 (assume @p10 @t92) % 0.51/0.73 (assume @p11 @t142) % 0.51/0.73 (assume @p12 @t152) % 0.51/0.73 (assume @p13 @t161) % 0.51/0.73 (assume @p14 @t163) % 0.51/0.73 (assume @p15 @t165) % 0.51/0.73 (assume @p16 @t171) % 0.51/0.73 (assume @p17 @t176) % 0.51/0.73 (assume @p18 @t181) % 0.51/0.73 (assume @p19 @t183) % 0.51/0.73 (assume @p20 (= tptp.notinemptyset @t17)) % 0.51/0.73 (assume @p21 @t187) % 0.51/0.73 (assume @p22 @t192) % 0.51/0.73 (assume @p23 @t198) % 0.51/0.73 (assume @p24 (= tptp.noeltsimpempty @t197)) % 0.51/0.73 (assume @p25 @t201) % 0.51/0.73 (assume @p26 @t205) % 0.51/0.73 (assume @p27 @t209) % 0.51/0.73 (assume @p28 @t212) % 0.51/0.73 (assume @p29 @t216) % 0.51/0.73 (assume @p30 (= tptp.emptyinunitempty @t218)) % 0.51/0.73 (assume @p31 @t220) % 0.51/0.73 (assume @p32 @t228) % 0.51/0.73 (assume @p33 @t231) % 0.51/0.73 (assume @p34 @t235) % 0.51/0.73 (assume @p35 @t238) % 0.51/0.73 (assume @p36 @t241) % 0.51/0.73 (assume @p37 (= tptp.emptyInPowerset @t240)) % 0.51/0.73 (assume @p38 @t244) % 0.51/0.73 (assume @p39 @t248) % 0.51/0.73 (assume @p40 @t255) % 0.51/0.73 (assume @p41 @t259) % 0.51/0.73 (assume @p42 @t265) % 0.51/0.73 (assume @p43 @t270) % 0.51/0.73 (assume @p44 @t274) % 0.51/0.73 (assume @p45 @t324) % 0.51/0.73 (assume @p46 true) % 0.51/0.73 (step @p47 (= tptp.exu @t325) :rule refl :args (@t325)) % 0.51/0.73 (step @p48 (= tptp.prop2set @t330) :rule refl :args (@t330)) % 0.51/0.73 (step @p49 (= tptp.nonempty @t331) :rule refl :args (@t331)) % 0.51/0.73 (step @p50 :rule refl :args (@t374)) % 0.51/0.73 (step @p51 :rule refl :args ((tptp.in tptp.emptyset @t217))) % 0.51/0.73 (step @p52 :rule refl :args (@t375)) % 0.51/0.73 (step @p53 :rule refl :args (tptp.emptyset)) % 0.51/0.73 (step @p54 :rule cong :premises (@p53 @p52) :args (@t376)) % 0.51/0.73 (step @p55 :rule trans :premises (@p54 @p51)) % 0.51/0.73 (step @p56 :rule refl :args (@t49)) % 0.51/0.73 (step @p57 :rule ho_cong :premises (@p56 @p52)) % 0.51/0.73 (step @p58 :rule cong :premises (@p57 @p55) :args ((= (_ @t49 @t375) @t376))) % 0.51/0.73 (step @p59 :rule symm :premises (@p58)) % 0.51/0.73 (step @p60 :rule refl :args (@t218)) % 0.51/0.73 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.51/0.73 (step @p62 :rule refl :args (@t217)) % 0.51/0.73 (step @p63 :rule cong :premises (@p62 @p52) :args ((= @t217 @t375))) % 0.51/0.73 (step @p64 :rule symm :premises (@p63)) % 0.51/0.73 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 0.51/0.73 (step @p66 :rule refl :args (@t49)) % 0.51/0.73 (step @p67 :rule ho_cong :premises (@p66 @p65)) % 0.51/0.73 (step @p68 :rule trans :premises (@p67 @p61)) % 0.51/0.73 (step @p69 :rule cong :premises (@p68 @p50) :args (@t377)) % 0.51/0.73 (step @p70 :rule refl :args (@t380)) % 0.51/0.73 (step @p71 :rule cong :premises (@p70 @p69) :args (@t381)) % 0.51/0.73 (step @p72 :rule refl :args (@t385)) % 0.51/0.73 (step @p73 :rule cong :premises (@p72 @p71) :args (@t386)) % 0.51/0.73 (step @p74 :rule refl :args (@t390)) % 0.51/0.73 (step @p75 :rule cong :premises (@p74 @p73) :args (@t391)) % 0.51/0.73 (step @p76 :rule refl :args (@t342)) % 0.51/0.73 (step @p77 :rule cong :premises (@p76 @p75) :args (@t392)) % 0.51/0.73 (step @p78 :rule refl :args (@t394)) % 0.51/0.73 (step @p79 :rule cong :premises (@p78 @p77) :args (@t395)) % 0.51/0.73 (step @p80 :rule refl :args (@t396)) % 0.51/0.73 (step @p81 :rule cong :premises (@p80 @p79) :args (@t397)) % 0.51/0.73 (step @p82 :rule cong :premises (@p80 @p81) :args (@t398)) % 0.51/0.73 (step @p83 :rule refl :args (@t402)) % 0.51/0.73 (step @p84 :rule cong :premises (@p83 @p82) :args (@t403)) % 0.51/0.73 (step @p85 :rule refl :args (@t408)) % 0.51/0.73 (step @p86 :rule cong :premises (@p85 @p84) :args (@t409)) % 0.51/0.73 (step @p87 :rule refl :args (@t411)) % 0.51/0.73 (step @p88 :rule cong :premises (@p87 @p86) :args (@t412)) % 0.51/0.73 (step @p89 :rule cong :premises (@p87 @p88) :args (@t413)) % 0.51/0.73 (step @p90 :rule cong :premises (@p87 @p89) :args (@t414)) % 0.51/0.73 (step @p91 :rule refl :args (@t418)) % 0.51/0.73 (step @p92 :rule cong :premises (@p91 @p90) :args (@t419)) % 0.51/0.73 (step @p93 :rule refl :args (@t421)) % 0.51/0.73 (step @p94 :rule cong :premises (@p93 @p92) :args (@t422)) % 0.51/0.73 (step @p95 :rule refl :args (@t423)) % 0.51/0.73 (step @p96 :rule cong :premises (@p95 @p94) :args (@t424)) % 0.51/0.73 (step @p97 :rule refl :args (@t425)) % 0.51/0.73 (step @p98 :rule cong :premises (@p97 @p96) :args (@t426)) % 0.51/0.73 (step @p99 :rule refl :args (@t431)) % 0.51/0.73 (step @p100 :rule cong :premises (@p99 @p98) :args (@t432)) % 0.51/0.73 (step @p101 :rule refl :args (@t483)) % 0.51/0.73 (step @p102 :rule cong :premises (@p101 @p100) :args (@t484)) % 0.51/0.73 (step @p103 :rule refl :args (@t491)) % 0.51/0.73 (step @p104 :rule cong :premises (@p103 @p102) :args (@t492)) % 0.51/0.73 (step @p105 :rule refl :args (@t505)) % 0.51/0.73 (step @p106 :rule cong :premises (@p105 @p104) :args (@t506)) % 0.51/0.73 (step @p107 :rule refl :args (@t520)) % 0.51/0.73 (step @p108 :rule cong :premises (@p107 @p106) :args (@t521)) % 0.51/0.73 (step @p109 :rule refl :args (@t523)) % 0.51/0.73 (step @p110 :rule cong :premises (@p109 @p108) :args (@t524)) % 0.51/0.73 (step @p111 :rule refl :args (@t525)) % 0.51/0.73 (step @p112 :rule refl :args (@t50)) % 0.51/0.73 (step @p113 :rule cong :premises (@p112 @p111) :args ((= @t50 @t525))) % 0.51/0.73 (step @p114 :rule symm :premises (@p113)) % 0.51/0.73 (step @p115 :rule eq_resolve :premises (@p112 @p114)) % 0.51/0.73 (step @p116 :rule cong :premises (@p115 @p110) :args (@t526)) % 0.51/0.73 (step @p117 :rule refl :args (@t527)) % 0.51/0.73 (step @p118 :rule cong :premises (@p117 @p116) :args (@t528)) % 0.51/0.73 (step @p119 :rule refl :args (@t529)) % 0.51/0.73 (step @p120 :rule cong :premises (@p119 @p118) :args (@t530)) % 0.51/0.73 (step @p121 :rule refl :args (@t532)) % 0.51/0.73 (step @p122 :rule cong :premises (@p121 @p120) :args (@t533)) % 0.51/0.73 (step @p123 :rule cong :premises (@p87 @p122) :args (@t534)) % 0.51/0.73 (step @p124 :rule refl :args 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@p1693 :rule cong :premises (@p1692) :args ((forall @t12 @t918))) % 0.51/0.74 (step @p1694 :rule trans :premises (@p1693 @p1690)) % 0.51/0.74 (step @p1695 :rule cong :premises (@p506 @p510) :args (@t36)) % 0.51/0.74 (step @p1696 :rule cong :premises (@p1695) :args (@t37)) % 0.51/0.74 (step @p1697 :rule trans :premises (@p1696 @p1694)) % 0.51/0.74 (step @p1698 :rule refl :args (tptp.powersetAx)) % 0.51/0.74 (step @p1699 :rule cong :premises (@p1698 @p1697) :args (@t38)) % 0.51/0.74 (step @p1700 :rule eq_resolve :premises (@p4 @p1699)) % 0.51/0.74 (step @p1701 :rule cong :premises (@p1700 @p1688) :args (@t919)) % 0.51/0.74 (step @p1702 :rule nary_cong :premises (@p146 @p549) :args (@t638)) % 0.51/0.74 (step @p1703 :rule cong :premises (@p566 @p1702) :args (@t920)) % 0.51/0.74 (step @p1704 :rule cong :premises (@p1703) :args ((forall @t28 @t920))) % 0.51/0.74 (step @p1705 :rule cong :premises (@p577 @p576) :args (@t27)) % 0.51/0.74 (step @p1706 :rule cong :premises (@p1705) :args (@t29)) % 0.51/0.74 (step @p1707 :rule trans :premises (@p1706 @p1704)) % 0.51/0.74 (step @p1708 :rule refl :args (tptp.setadjoinAx)) % 0.51/0.74 (step @p1709 :rule cong :premises (@p1708 @p1707) :args (@t30)) % 0.51/0.74 (step @p1710 :rule eq_resolve :premises (@p3 @p1709)) % 0.51/0.74 (step @p1711 :rule cong :premises (@p1710 @p1701) :args (@t921)) % 0.51/0.74 (step @p1712 :rule refl :args (tptp.emptysetAx)) % 0.51/0.74 (step @p1713 :rule cong :premises (@p1712 @p905) :args (@t18)) % 0.51/0.74 (step @p1714 :rule eq_resolve :premises (@p2 @p1713)) % 0.51/0.74 (step @p1715 :rule cong :premises (@p1714 @p1711) :args (@t922)) % 0.51/0.74 (step @p1716 :rule bool-impl-elim :args (@t535 @t3)) % 0.51/0.74 (step @p1717 :rule cong :premises (@p1716) :args ((forall @t12 (=> @t535 @t3)))) % 0.51/0.74 (step @p1718 :rule cong :premises (@p184 @p400) :args (@t8)) % 0.51/0.74 (step @p1719 :rule cong :premises (@p1718) :args (@t10)) % 0.51/0.74 (step @p1720 :rule cong :premises (@p1719 @p842) :args (@t11)) % 0.51/0.74 (step @p1721 :rule cong :premises (@p1720) :args (@t13)) % 0.51/0.74 (step @p1722 :rule trans :premises (@p1721 @p1717)) % 0.51/0.74 (step @p1723 :rule refl :args (tptp.setextAx)) % 0.51/0.74 (step @p1724 :rule cong :premises (@p1723 @p1722) :args (@t14)) % 0.51/0.74 (step @p1725 :rule eq_resolve :premises (@p1 @p1724)) % 0.51/0.74 (step @p1726 :rule cong :premises (@p1725 @p1715) :args (@t923)) % 0.51/0.74 (step @p1727 :rule cong :premises (@p1726) :args ((not @t923))) % 0.51/0.74 (step @p1728 :rule trans :premises (@p1727 @p144)) % 0.51/0.74 (step @p1729 :rule refl :args ((tptp.in @t19 @t275))) % 0.51/0.74 (step @p1730 :rule refl :args (@t332)) % 0.51/0.74 (step @p1731 :rule cong :premises (@p552 @p1730) :args (@t333)) % 0.51/0.74 (step @p1732 :rule trans :premises (@p1731 @p1729)) % 0.51/0.74 (step @p1733 :rule ho_cong :premises (@p555 @p1730)) % 0.51/0.74 (step @p1734 :rule cong :premises (@p1733 @p1732) :args ((= (_ @t20 @t332) @t333))) % 0.51/0.74 (step @p1735 :rule symm :premises (@p1734)) % 0.51/0.74 (step @p1736 :rule refl :args (@t276)) % 0.51/0.74 (step @p1737 :rule eq_resolve :premises (@p1736 @p1735)) % 0.51/0.74 (step @p1738 :rule refl :args (@t275)) % 0.51/0.74 (step @p1739 :rule cong :premises (@p1738 @p1730) :args ((= @t275 @t332))) % 0.51/0.74 (step @p1740 :rule symm :premises (@p1739)) % 0.51/0.74 (step @p1741 :rule eq_resolve :premises (@p1738 @p1740)) % 0.51/0.74 (step @p1742 :rule ho_cong :premises (@p555 @p1741)) % 0.51/0.74 (step @p1743 :rule trans :premises (@p1742 @p1737)) % 0.51/0.74 (step @p1744 :rule cong :premises (@p1743) :args (@t277)) % 0.51/0.74 (step @p1745 :rule nary_cong :premises (@p146 @p1744) :args (@t924)) % 0.51/0.74 (step @p1746 :rule cong :premises (@p1745) :args ((forall @t135 @t924))) % 0.51/0.74 (step @p1747 :rule refl :args (@t277)) % 0.51/0.74 (step @p1748 :rule bool-double-not-elim :args (@t129)) % 0.51/0.74 (step @p1749 :rule nary_cong :premises (@p1748 @p1747) :args ((or (not @t278) @t277))) % 0.51/0.74 (step @p1750 :rule bool-impl-elim :args (@t278 @t277)) % 0.51/0.74 (step @p1751 :rule trans :premises (@p1750 @p1749)) % 0.51/0.74 (step @p1752 :rule cong :premises (@p1751) :args (@t279)) % 0.51/0.74 (step @p1753 :rule trans :premises (@p1752 @p1746)) % 0.51/0.74 (step @p1754 :rule cong :premises (@p170 @p1753) :args (@t280)) % 0.51/0.74 (step @p1755 :rule cong :premises (@p197 @p1754) :args (@t281)) % 0.51/0.74 (step @p1756 :rule cong :premises (@p283 @p1755) :args (@t282)) % 0.51/0.74 (step @p1757 :rule cong :premises (@p340 @p1756) :args (@t283)) % 0.51/0.74 (step @p1758 :rule cong :premises (@p426 @p1757) :args (@t284)) % 0.51/0.74 (step @p1759 :rule cong :premises (@p440 @p1758) :args (@t285)) % 0.51/0.74 (step @p1760 :rule cong :premises (@p473 @p1759) :args (@t286)) % 0.51/0.74 (step @p1761 :rule cong :premises (@p478 @p1760) :args (@t287)) % 0.51/0.74 (step @p1762 :rule cong :premises (@p496 @p1761) :args (@t288)) % 0.51/0.74 (step @p1763 :rule cong :premises (@p514 @p1762) :args (@t289)) % 0.51/0.74 (step @p1764 :rule cong :premises (@p541 @p1763) :args (@t290)) % 0.51/0.74 (step @p1765 :rule cong :premises (@p581 @p1764) :args (@t291)) % 0.51/0.74 (step @p1766 :rule cong :premises (@p637 @p1765) :args (@t292)) % 0.51/0.74 (step @p1767 :rule cong :premises (@p647 @p1766) :args (@t293)) % 0.51/0.74 (step @p1768 :rule refl :args (tptp.emptyinunitempty)) % 0.51/0.74 (step @p1769 :rule cong :premises (@p1768 @p1767) :args (@t294)) % 0.51/0.74 (step @p1770 :rule cong :premises (@p668 @p1769) :args (@t295)) % 0.51/0.74 (step @p1771 :rule cong :premises (@p710 @p1770) :args (@t296)) % 0.51/0.74 (step @p1772 :rule cong :premises (@p763 @p1771) :args (@t297)) % 0.51/0.74 (step @p1773 :rule cong :premises (@p777 @p1772) :args (@t298)) % 0.51/0.74 (step @p1774 :rule cong :premises (@p812 @p1773) :args (@t299)) % 0.51/0.74 (step @p1775 :rule cong :premises (@p817 @p1774) :args (@t300)) % 0.51/0.74 (step @p1776 :rule cong :premises (@p830 @p1775) :args (@t301)) % 0.51/0.74 (step @p1777 :rule cong :premises (@p852 @p1776) :args (@t302)) % 0.51/0.74 (step @p1778 :rule cong :premises (@p888 @p1777) :args (@t303)) % 0.51/0.74 (step @p1779 :rule cong :premises (@p898 @p1778) :args (@t304)) % 0.51/0.74 (step @p1780 :rule cong :premises (@p915 @p1779) :args (@t305)) % 0.51/0.74 (step @p1781 :rule cong :premises (@p930 @p1780) :args (@t306)) % 0.51/0.74 (step @p1782 :rule cong :premises (@p1007 @p1781) :args (@t307)) % 0.51/0.74 (step @p1783 :rule cong :premises (@p1031 @p1782) :args (@t308)) % 0.51/0.74 (step @p1784 :rule cong :premises (@p1052 @p1783) :args (@t309)) % 0.51/0.74 (step @p1785 :rule cong :premises (@p1065 @p1784) :args (@t310)) % 0.51/0.74 (step @p1786 :rule cong :premises (@p1082 @p1785) :args (@t311)) % 0.51/0.74 (step @p1787 :rule cong :premises (@p1150 @p1786) :args (@t312)) % 0.51/0.74 (step @p1788 :rule cong :premises (@p1421 @p1787) :args (@t313)) % 0.51/0.74 (step @p1789 :rule cong :premises (@p1466 @p1788) :args (@t314)) % 0.51/0.74 (step @p1790 :rule cong :premises (@p1559 @p1789) :args (@t315)) % 0.51/0.74 (step @p1791 :rule cong :premises (@p1646 @p1790) :args (@t316)) % 0.51/0.74 (step @p1792 :rule cong :premises (@p1666 @p1791) :args (@t317)) % 0.51/0.74 (step @p1793 :rule refl :args (tptp.omega0Ax)) % 0.51/0.74 (step @p1794 :rule cong :premises (@p1793 @p1792) :args (@t318)) % 0.51/0.74 (step @p1795 :rule cong :premises (@p1685 @p1794) :args (@t319)) % 0.51/0.74 (step @p1796 :rule cong :premises (@p1698 @p1795) :args (@t320)) % 0.51/0.74 (step @p1797 :rule cong :premises (@p1708 @p1796) :args (@t321)) % 0.51/0.74 (step @p1798 :rule cong :premises (@p1712 @p1797) :args (@t322)) % 0.51/0.74 (step @p1799 :rule cong :premises (@p1723 @p1798) :args (@t323)) % 0.51/0.74 (step @p1800 :rule cong :premises (@p1799) :args (@t324)) % 0.51/0.74 (step @p1801 :rule trans :premises (@p1800 @p1728 @p126)) % 0.51/0.74 (step @p1802 :rule eq_resolve :premises (@p45 @p1801)) % 0.51/0.74 (step @p1803 :rule not_implies_elim2 :premises (@p1802)) % 0.51/0.74 (step @p1804 :rule not_implies_elim2 :premises (@p1803)) % 0.51/0.74 (step @p1805 :rule not_implies_elim2 :premises (@p1804)) % 0.51/0.74 (step @p1806 :rule not_implies_elim2 :premises (@p1805)) % 0.51/0.74 (step @p1807 :rule not_implies_elim2 :premises (@p1806)) % 0.51/0.74 (step @p1808 :rule not_implies_elim2 :premises (@p1807)) % 0.51/0.74 (step @p1809 :rule not_implies_elim2 :premises (@p1808)) % 0.51/0.74 (step @p1810 :rule not_implies_elim2 :premises (@p1809)) % 0.51/0.74 (step @p1811 :rule not_implies_elim2 :premises (@p1810)) % 0.51/0.74 (step @p1812 :rule not_implies_elim2 :premises (@p1811)) % 0.51/0.74 (step @p1813 :rule not_implies_elim2 :premises (@p1812)) % 0.51/0.74 (step @p1814 :rule not_implies_elim2 :premises (@p1813)) % 0.51/0.74 (step @p1815 :rule not_implies_elim2 :premises (@p1814)) % 0.51/0.74 (step @p1816 :rule not_implies_elim2 :premises (@p1815)) % 0.51/0.74 (step @p1817 :rule not_implies_elim2 :premises (@p1816)) % 0.51/0.74 (step @p1818 :rule not_implies_elim2 :premises (@p1817)) % 0.51/0.74 (step @p1819 :rule not_implies_elim2 :premises (@p1818)) % 0.51/0.74 (step @p1820 :rule not_implies_elim2 :premises (@p1819)) % 0.51/0.74 (step @p1821 :rule not_implies_elim2 :premises (@p1820)) % 0.51/0.74 (step @p1822 :rule not_implies_elim2 :premises (@p1821)) % 0.51/0.74 (step @p1823 :rule not_implies_elim2 :premises (@p1822)) % 0.51/0.74 (step @p1824 :rule not_implies_elim2 :premises (@p1823)) % 0.51/0.74 (step @p1825 :rule not_implies_elim2 :premises (@p1824)) % 0.51/0.74 (step @p1826 :rule not_implies_elim2 :premises (@p1825)) % 0.51/0.74 (step @p1827 :rule not_implies_elim2 :premises (@p1826)) % 0.51/0.74 (step @p1828 :rule not_implies_elim2 :premises (@p1827)) % 0.51/0.74 (step @p1829 :rule not_implies_elim2 :premises (@p1828)) % 0.51/0.74 (step @p1830 :rule not_implies_elim2 :premises (@p1829)) % 0.51/0.74 (step @p1831 :rule not_implies_elim2 :premises (@p1830)) % 0.51/0.74 (step @p1832 :rule not_implies_elim2 :premises (@p1831)) % 0.51/0.74 (step @p1833 :rule not_implies_elim2 :premises (@p1832)) % 0.51/0.74 (step @p1834 :rule not_implies_elim2 :premises (@p1833)) % 0.51/0.74 (step @p1835 :rule not_implies_elim2 :premises (@p1834)) % 0.51/0.74 (step @p1836 :rule not_implies_elim2 :premises (@p1835)) % 0.51/0.74 (step @p1837 :rule not_implies_elim2 :premises (@p1836)) % 0.51/0.74 (step @p1838 :rule not_implies_elim2 :premises (@p1837)) % 0.51/0.74 (step @p1839 :rule not_implies_elim2 :premises (@p1838)) % 0.51/0.74 (step @p1840 :rule not_implies_elim2 :premises (@p1839)) % 0.51/0.74 (step @p1841 :rule not_implies_elim2 :premises (@p1840)) % 0.51/0.74 (step @p1842 :rule not_implies_elim2 :premises (@p1841)) % 0.51/0.74 (step @p1843 :rule not_implies_elim2 :premises (@p1842)) % 0.51/0.74 (step @p1844 :rule not_implies_elim2 :premises (@p1843)) % 0.51/0.74 (step @p1845 :rule not_implies_elim1 :premises (@p1844)) % 0.51/0.74 (step @p1846 :rule not_implies_elim2 :premises (@p1844)) % 0.51/0.74 (step @p1847 :rule skolemize :premises (@p1846)) % 0.51/0.74 (step @p1848 :rule bool-double-not-elim :args (@t927)) % 0.51/0.74 (step @p1849 :rule refl :args (@t930)) % 0.51/0.74 (step @p1850 :rule nary_cong :premises (@p1849 @p1848) :args ((or @t930 (not @t928)))) % 0.51/0.74 (step @p1851 :rule cnf_or_neg :args (@t930 1)) % 0.51/0.74 (step @p1852 :rule eq_resolve :premises (@p1851 @p1850)) % 0.51/0.74 (step @p1853 :rule reordering :premises (@p1852) :args ((or @t927 @t930))) % 0.51/0.74 (step @p1854 :rule chain_m_resolution :premises (@p1853 @p1847) :args (@t927 @t931 @t932)) % 0.51/0.74 (step @p1855 :rule cnf_or_neg :args (@t930 0)) % 0.51/0.74 (step @p1856 :rule chain_m_resolution :premises (@p1855 @p1847) :args ((not @t929) @t931 @t932)) % 0.51/0.74 (step @p1857 :rule cnf_or_pos :args (@t933)) % 0.51/0.74 (step @p1858 :rule reordering :premises (@p1857) :args ((or @t929 @t928 @t934))) % 0.51/0.74 (step @p1859 :rule chain_m_resolution :premises (@p1858 @p1856 @p1854) :args (@t934 @t935 (@list @t929 @t927))) % 0.51/0.74 (step @p1860 :rule eq-symm :args (@t926 @t925)) % 0.51/0.74 (step @p1861 :rule refl :args (@t928)) % 0.51/0.74 (step @p1862 :rule nary_cong :premises (@p1861 @p1860) :args (@t936)) % 0.51/0.74 (step @p1863 :rule refl :args (@t337)) % 0.51/0.74 (step @p1864 :rule cong :premises (@p1863 @p1862) :args ((=> @t337 @t936))) % 0.51/0.74 (assume-push @p1872 @t337) % 0.51/0.74 (step @p1866 :rule instantiate :premises (@p1845) :args ((@list @t926 @t925))) % 0.51/0.74 (step-pop @p1873 :rule scope :premises (@p1866)) % 0.51/0.74 (step @p1867 :rule process_scope :premises (@p1873) :args (@t936)) % 0.51/0.74 (step @p1869 :rule eq_resolve :premises (@p1867 @p1864)) % 0.51/0.74 (step @p1870 :rule implies_elim :premises (@p1869)) % 0.51/0.74 (step @p1871 false :rule chain_m_resolution :premises (@p1870 @p1859 @p1845) :args (false @t935 (@list @t933 @t337))) % 0.51/0.74 ) % 0.51/0.74 % SZS output end Proof % 0.51/0.74 % cvc5 exiting %------------------------------------------------------------------------------