%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU529^1 : 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 : n004.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 0.38s 0.73s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU529^1 : 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 % 0.16/0.35 % Computer : n004.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 17:40:52 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.52 %----Proving TH0 % 0.38/0.73 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.73 % SZS status Theorem % 0.38/0.73 % SZS output start Proof % 0.38/0.73 ( % 0.38/0.73 (declare-sort $$unsorted 0) % 0.38/0.73 (declare-const tptp.emptyset $$unsorted) % 0.38/0.73 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.73 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.38/0.73 (declare-const tptp.notinsingleton Bool) % 0.38/0.73 (declare-const tptp.subPowSU Bool) % 0.38/0.73 (declare-const tptp.setunionE Bool) % 0.38/0.73 (declare-const tptp.setunionI Bool) % 0.38/0.73 (declare-const tptp.powersetE Bool) % 0.38/0.73 (declare-const tptp.emptyInPowerset Bool) % 0.38/0.73 (declare-const tptp.setoftrueEq Bool) % 0.38/0.73 (declare-const tptp.uniqinunit Bool) % 0.38/0.73 (declare-const tptp.setadjoinOr Bool) % 0.38/0.73 (declare-const tptp.setadjoinE Bool) % 0.38/0.73 (declare-const tptp.emptyinunitempty Bool) % 0.38/0.73 (declare-const tptp.nonemptyI1 Bool) % 0.38/0.73 (declare-const tptp.nonemptyI Bool) % 0.38/0.73 (declare-const tptp.nonemptyE1 Bool) % 0.38/0.73 (declare-const tptp.noeltsimpempty Bool) % 0.38/0.73 (declare-const tptp.emptyI Bool) % 0.38/0.73 (declare-const tptp.omegaIndAx Bool) % 0.38/0.73 (declare-const tptp.omega0Ax Bool) % 0.38/0.73 (declare-const tptp.setadjoinIL Bool) % 0.38/0.73 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.38/0.73 (declare-const tptp.powersetAx Bool) % 0.38/0.73 (declare-const tptp.nonemptyImpWitness Bool) % 0.38/0.73 (declare-const tptp.omegaSAx Bool) % 0.38/0.73 (declare-const tptp.setext Bool) % 0.38/0.73 (declare-const tptp.setadjoinAx Bool) % 0.38/0.73 (declare-const tptp.powersetI Bool) % 0.38/0.73 (declare-const tptp.setbeta Bool) % 0.38/0.73 (declare-const tptp.dsetconstrER Bool) % 0.38/0.73 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.73 (declare-const tptp.exuE2 Bool) % 0.38/0.73 (declare-const tptp.setadjoinIR Bool) % 0.38/0.73 (declare-const tptp.notinemptyset Bool) % 0.38/0.73 (declare-const tptp.foundationAx Bool) % 0.38/0.73 (declare-const tptp.setextAx Bool) % 0.38/0.73 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.emptysetAx Bool) % 0.38/0.73 (declare-const tptp.dsetconstrEL Bool) % 0.38/0.73 (declare-const tptp.replAx Bool) % 0.38/0.73 (declare-const tptp.emptysetimpfalse Bool) % 0.38/0.73 (declare-const tptp.wellorderingAx Bool) % 0.38/0.73 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.38/0.73 (declare-const tptp.emptyinPowerset Bool) % 0.38/0.73 (declare-const tptp.exuE1 Bool) % 0.38/0.73 (declare-const tptp.descrp Bool) % 0.38/0.73 (declare-const tptp.dsetconstrI Bool) % 0.38/0.73 (declare-const tptp.omega $$unsorted) % 0.38/0.73 (declare-const tptp.exuE3e Bool) % 0.38/0.73 (declare-const tptp.prop2setE Bool) % 0.38/0.73 (declare-const tptp.setunionAx Bool) % 0.38/0.73 (declare-const tptp.emptysetE Bool) % 0.38/0.73 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.38/0.73 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.38/0.73 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.38/0.73 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.73 (define @t2 () (@var "A" $$unsorted)) % 0.38/0.73 (define @t3 () (= @t2 @t1)) % 0.38/0.73 (define @t4 () (@var "Xx" $$unsorted)) % 0.38/0.73 (define @t5 () (_ tptp.in @t4)) % 0.38/0.73 (define @t6 () (_ @t5 @t1)) % 0.38/0.73 (define @t7 () (_ @t5 @t2)) % 0.38/0.73 (define @t8 () (= @t7 @t6)) % 0.38/0.73 (define @t9 () (@list @t4)) % 0.38/0.73 (define @t10 () (forall @t9 @t8)) % 0.38/0.73 (define @t11 () (=> @t10 @t3)) % 0.38/0.73 (define @t12 () (@list @t2 @t1)) % 0.38/0.73 (define @t13 () (forall @t12 @t11)) % 0.38/0.73 (define @t14 () (= tptp.setextAx @t13)) % 0.38/0.73 (define @t15 () (_ @t5 tptp.emptyset)) % 0.38/0.73 (define @t16 () (not @t15)) % 0.38/0.73 (define @t17 () (forall @t9 @t16)) % 0.38/0.73 (define @t18 () (= tptp.emptysetAx @t17)) % 0.38/0.73 (define @t19 () (@var "Xy" $$unsorted)) % 0.38/0.73 (define @t20 () (_ tptp.in @t19)) % 0.38/0.73 (define @t21 () (_ @t20 @t2)) % 0.38/0.73 (define @t22 () (= @t19 @t4)) % 0.38/0.73 (define @t23 () (or @t22 @t21)) % 0.38/0.73 (define @t24 () (_ tptp.setadjoin @t4)) % 0.38/0.73 (define @t25 () (_ @t24 @t2)) % 0.38/0.73 (define @t26 () (_ @t20 @t25)) % 0.38/0.73 (define @t27 () (= @t26 @t23)) % 0.38/0.73 (define @t28 () (@list @t4 @t2 @t19)) % 0.38/0.73 (define @t29 () (forall @t28 @t27)) % 0.38/0.73 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.38/0.73 (define @t31 () (=> @t6 @t7)) % 0.38/0.73 (define @t32 () (forall @t9 @t31)) % 0.38/0.73 (define @t33 () (_ tptp.powerset @t2)) % 0.38/0.73 (define @t34 () (_ tptp.in @t1)) % 0.38/0.73 (define @t35 () (_ @t34 @t33)) % 0.38/0.73 (define @t36 () (= @t35 @t32)) % 0.38/0.73 (define @t37 () (forall @t12 @t36)) % 0.38/0.73 (define @t38 () (= tptp.powersetAx @t37)) % 0.38/0.73 (define @t39 () (_ @t34 @t2)) % 0.38/0.73 (define @t40 () (and @t6 @t39)) % 0.38/0.73 (define @t41 () (@list @t1)) % 0.38/0.73 (define @t42 () (exists @t41 @t40)) % 0.38/0.73 (define @t43 () (_ tptp.setunion @t2)) % 0.38/0.73 (define @t44 () (_ @t5 @t43)) % 0.38/0.73 (define @t45 () (= @t44 @t42)) % 0.38/0.73 (define @t46 () (@list @t2 @t4)) % 0.38/0.73 (define @t47 () (forall @t46 @t45)) % 0.38/0.73 (define @t48 () (= tptp.setunionAx @t47)) % 0.38/0.73 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.38/0.73 (define @t50 () (_ @t49 tptp.omega)) % 0.38/0.73 (define @t51 () (_ @t24 @t4)) % 0.38/0.73 (define @t52 () (_ tptp.in @t51)) % 0.38/0.73 (define @t53 () (_ @t52 tptp.omega)) % 0.38/0.73 (define @t54 () (_ @t5 tptp.omega)) % 0.38/0.73 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.38/0.73 (define @t56 () (= tptp.omegaSAx @t55)) % 0.38/0.73 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.38/0.73 (define @t58 () (_ @t52 @t2)) % 0.38/0.73 (define @t59 () (and @t54 @t7)) % 0.38/0.73 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.38/0.73 (define @t61 () (_ @t49 @t2)) % 0.38/0.73 (define @t62 () (and @t61 @t60)) % 0.38/0.73 (define @t63 () (=> @t62 @t57)) % 0.38/0.73 (define @t64 () (@list @t2)) % 0.38/0.73 (define @t65 () (forall @t64 @t63)) % 0.38/0.73 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.38/0.73 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.38/0.73 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.38/0.73 (define @t69 () (and @t21 @t68)) % 0.38/0.73 (define @t70 () (@list @t19)) % 0.38/0.73 (define @t71 () (exists @t70 @t69)) % 0.38/0.73 (define @t72 () (= @t6 @t71)) % 0.38/0.73 (define @t73 () (forall @t9 @t72)) % 0.38/0.73 (define @t74 () (exists @t41 @t73)) % 0.38/0.73 (define @t75 () (_ @t67 @t4)) % 0.38/0.73 (define @t76 () (_ @t75 @t19)) % 0.38/0.73 (define @t77 () (lambda @t70 @t76)) % 0.38/0.73 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.38/0.73 (define @t79 () (forall @t9 @t78)) % 0.38/0.73 (define @t80 () (=> @t79 @t74)) % 0.38/0.73 (define @t81 () (@list @t67 @t2)) % 0.38/0.73 (define @t82 () (forall @t81 @t80)) % 0.38/0.73 (define @t83 () (= tptp.replAx @t82)) % 0.38/0.73 (define @t84 () (and @t6 @t7)) % 0.38/0.73 (define @t85 () (exists @t9 @t84)) % 0.38/0.73 (define @t86 () (not @t85)) % 0.38/0.73 (define @t87 () (and @t39 @t86)) % 0.38/0.73 (define @t88 () (exists @t41 @t87)) % 0.38/0.73 (define @t89 () (exists @t9 @t7)) % 0.38/0.73 (define @t90 () (=> @t89 @t88)) % 0.38/0.73 (define @t91 () (forall @t64 @t90)) % 0.38/0.73 (define @t92 () (= tptp.foundationAx @t91)) % 0.38/0.73 (define @t93 () (@var "E" $$unsorted)) % 0.38/0.73 (define @t94 () (_ @t5 @t93)) % 0.38/0.73 (define @t95 () (@var "D" $$unsorted)) % 0.38/0.73 (define @t96 () (_ @t20 @t95)) % 0.38/0.73 (define @t97 () (_ @t20 @t93)) % 0.38/0.73 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.38/0.73 (define @t99 () (or @t98 @t94)) % 0.38/0.73 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.38/0.73 (define @t101 () (=> @t100 @t99)) % 0.38/0.73 (define @t102 () (@list @t93)) % 0.38/0.73 (define @t103 () (forall @t102 @t101)) % 0.38/0.73 (define @t104 () (@var "C" $$unsorted)) % 0.38/0.73 (define @t105 () (_ @t20 @t104)) % 0.38/0.73 (define @t106 () (and @t96 @t105)) % 0.38/0.73 (define @t107 () (exists @t70 @t106)) % 0.38/0.73 (define @t108 () (not @t107)) % 0.38/0.73 (define @t109 () (_ @t5 @t104)) % 0.38/0.73 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.38/0.73 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.38/0.73 (define @t112 () (@list @t95 @t4)) % 0.38/0.73 (define @t113 () (exists @t112 @t111)) % 0.38/0.73 (define @t114 () (exists @t9 @t109)) % 0.38/0.73 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.38/0.73 (define @t116 () (and @t115 @t114)) % 0.38/0.73 (define @t117 () (=> @t116 @t113)) % 0.38/0.73 (define @t118 () (@list @t104)) % 0.38/0.73 (define @t119 () (forall @t118 @t117)) % 0.38/0.73 (define @t120 () (_ @t5 @t95)) % 0.38/0.73 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.38/0.73 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.38/0.73 (define @t123 () (or @t122 @t121)) % 0.38/0.73 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.38/0.73 (define @t125 () (and @t124 @t110)) % 0.38/0.73 (define @t126 () (=> @t125 @t123)) % 0.38/0.73 (define @t127 () (@list @t104 @t95)) % 0.38/0.73 (define @t128 () (forall @t127 @t126)) % 0.38/0.73 (define @t129 () (= @t4 @t19)) % 0.38/0.73 (define @t130 () (= @t109 @t105)) % 0.38/0.73 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.38/0.73 (define @t132 () (=> @t131 @t129)) % 0.38/0.73 (define @t133 () (and @t7 @t21)) % 0.38/0.73 (define @t134 () (=> @t133 @t132)) % 0.38/0.73 (define @t135 () (@list @t4 @t19)) % 0.38/0.73 (define @t136 () (forall @t135 @t134)) % 0.38/0.73 (define @t137 () (=> @t124 @t115)) % 0.38/0.73 (define @t138 () (forall @t118 @t137)) % 0.38/0.73 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.38/0.73 (define @t140 () (exists @t41 @t139)) % 0.38/0.73 (define @t141 () (forall @t64 @t140)) % 0.38/0.73 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.38/0.73 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.38/0.73 (define @t144 () (_ @t143 @t4)) % 0.38/0.73 (define @t145 () (lambda @t9 @t144)) % 0.38/0.73 (define @t146 () (_ tptp.descr @t145)) % 0.38/0.73 (define @t147 () (_ @t143 @t146)) % 0.38/0.73 (define @t148 () (_ tptp.exu @t145)) % 0.38/0.73 (define @t149 () (=> @t148 @t147)) % 0.38/0.73 (define @t150 () (@list @t143)) % 0.38/0.73 (define @t151 () (forall @t150 @t149)) % 0.38/0.73 (define @t152 () (= tptp.descrp @t151)) % 0.38/0.73 (define @t153 () (_ @t143 @t19)) % 0.38/0.73 (define @t154 () (lambda @t70 @t153)) % 0.38/0.73 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.38/0.73 (define @t156 () (_ @t155 @t154)) % 0.38/0.73 (define @t157 () (_ @t5 @t156)) % 0.38/0.73 (define @t158 () (=> @t144 @t157)) % 0.38/0.73 (define @t159 () (@list @t2 @t143 @t4)) % 0.38/0.73 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.38/0.73 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.38/0.73 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.38/0.73 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.38/0.73 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.38/0.73 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.38/0.73 (define @t166 () (forall @t70 (=> @t153 @t129))) % 0.38/0.73 (define @t167 () (and @t144 @t166)) % 0.38/0.73 (define @t168 () (exists @t9 @t167)) % 0.38/0.73 (define @t169 () (=> @t148 @t168)) % 0.38/0.73 (define @t170 () (forall @t150 @t169)) % 0.38/0.73 (define @t171 () (= tptp.exuE1 @t170)) % 0.38/0.73 (define @t172 () (@var "Xphi" Bool)) % 0.38/0.73 (define @t173 () (=> (_ @t5 (_ tptp.prop2set @t172)) @t172)) % 0.38/0.73 (define @t174 () (@list @t172 @t4)) % 0.38/0.73 (define @t175 () (forall @t174 @t173)) % 0.38/0.73 (define @t176 () (= tptp.prop2setE @t175)) % 0.38/0.73 (define @t177 () (@list @t172)) % 0.38/0.73 (define @t178 () (forall @t177 @t172)) % 0.38/0.73 (define @t179 () (=> @t15 @t178)) % 0.38/0.73 (define @t180 () (forall @t9 @t179)) % 0.38/0.73 (define @t181 () (= tptp.emptysetE @t180)) % 0.38/0.73 (define @t182 () (forall @t9 (=> @t15 false))) % 0.38/0.73 (define @t183 () (= tptp.emptysetimpfalse @t182)) % 0.38/0.73 (define @t184 () (exists @t9 @t144)) % 0.38/0.73 (define @t185 () (=> @t148 @t184)) % 0.38/0.73 (define @t186 () (forall @t150 @t185)) % 0.38/0.73 (define @t187 () (= tptp.exuE3e @t186)) % 0.38/0.73 (define @t188 () (=> @t32 @t3)) % 0.38/0.73 (define @t189 () (forall @t9 (=> @t7 @t6))) % 0.38/0.73 (define @t190 () (=> @t189 @t188)) % 0.38/0.73 (define @t191 () (forall @t12 @t190)) % 0.38/0.73 (define @t192 () (= tptp.setext @t191)) % 0.38/0.73 (define @t193 () (= @t2 tptp.emptyset)) % 0.38/0.73 (define @t194 () (not @t7)) % 0.38/0.73 (define @t195 () (forall @t9 @t194)) % 0.38/0.73 (define @t196 () (=> @t195 @t193)) % 0.38/0.73 (define @t197 () (forall @t64 @t196)) % 0.38/0.73 (define @t198 () (= tptp.emptyI @t197)) % 0.38/0.73 (define @t199 () (=> @t7 (= @t157 @t144))) % 0.38/0.73 (define @t200 () (forall @t159 @t199)) % 0.38/0.73 (define @t201 () (= tptp.setbeta @t200)) % 0.38/0.73 (define @t202 () (_ tptp.nonempty @t2)) % 0.38/0.73 (define @t203 () (=> @t202 @t89)) % 0.38/0.73 (define @t204 () (forall @t64 @t203)) % 0.38/0.73 (define @t205 () (= tptp.nonemptyE1 @t204)) % 0.38/0.73 (define @t206 () (=> @t144 (_ tptp.nonempty @t156))) % 0.38/0.73 (define @t207 () (=> @t7 @t206)) % 0.38/0.73 (define @t208 () (forall @t159 @t207)) % 0.38/0.73 (define @t209 () (= tptp.nonemptyI @t208)) % 0.38/0.73 (define @t210 () (=> @t89 @t202)) % 0.38/0.73 (define @t211 () (forall @t64 @t210)) % 0.38/0.73 (define @t212 () (= tptp.nonemptyI1 @t211)) % 0.38/0.73 (define @t213 () (_ @t24 @t19)) % 0.38/0.73 (define @t214 () (_ @t5 @t213)) % 0.38/0.73 (define @t215 () (forall @t135 @t214)) % 0.38/0.73 (define @t216 () (= tptp.setadjoinIL @t215)) % 0.38/0.73 (define @t217 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.38/0.73 (define @t218 () (_ @t49 @t217)) % 0.38/0.73 (define @t219 () (forall @t28 (=> @t21 @t26))) % 0.38/0.73 (define @t220 () (= tptp.setadjoinIR @t219)) % 0.38/0.73 (define @t221 () (=> @t21 @t172)) % 0.38/0.73 (define @t222 () (=> @t221 @t172)) % 0.38/0.73 (define @t223 () (=> @t22 @t172)) % 0.38/0.73 (define @t224 () (=> @t223 @t222)) % 0.38/0.73 (define @t225 () (forall @t177 @t224)) % 0.38/0.73 (define @t226 () (=> @t26 @t225)) % 0.38/0.73 (define @t227 () (forall @t28 @t226)) % 0.38/0.73 (define @t228 () (= tptp.setadjoinE @t227)) % 0.38/0.73 (define @t229 () (=> @t26 @t23)) % 0.38/0.73 (define @t230 () (forall @t28 @t229)) % 0.38/0.73 (define @t231 () (= tptp.setadjoinOr @t230)) % 0.38/0.73 (define @t232 () (lambda @t9 true)) % 0.38/0.73 (define @t233 () (= (_ @t155 @t232) @t2)) % 0.38/0.73 (define @t234 () (forall @t64 @t233)) % 0.38/0.73 (define @t235 () (= tptp.setoftrueEq @t234)) % 0.38/0.73 (define @t236 () (=> @t32 @t35)) % 0.38/0.73 (define @t237 () (forall @t12 @t236)) % 0.38/0.73 (define @t238 () (= tptp.powersetI @t237)) % 0.38/0.73 (define @t239 () (_ @t49 @t33)) % 0.38/0.73 (define @t240 () (forall @t64 @t239)) % 0.38/0.73 (define @t241 () (= tptp.emptyinPowerset @t240)) % 0.38/0.73 (define @t242 () (@list @t2 @t1 @t4)) % 0.38/0.73 (define @t243 () (forall @t242 (=> @t35 @t31))) % 0.38/0.73 (define @t244 () (= tptp.powersetE @t243)) % 0.38/0.73 (define @t245 () (=> @t39 @t44)) % 0.38/0.73 (define @t246 () (@list @t2 @t4 @t1)) % 0.38/0.73 (define @t247 () (forall @t246 (=> @t6 @t245))) % 0.38/0.73 (define @t248 () (= tptp.setunionI @t247)) % 0.38/0.73 (define @t249 () (=> @t39 @t172)) % 0.38/0.73 (define @t250 () (forall @t41 (=> @t6 @t249))) % 0.38/0.73 (define @t251 () (=> @t250 @t172)) % 0.38/0.73 (define @t252 () (forall @t177 @t251)) % 0.38/0.73 (define @t253 () (=> @t44 @t252)) % 0.38/0.73 (define @t254 () (forall @t46 @t253)) % 0.38/0.73 (define @t255 () (= tptp.setunionE @t254)) % 0.38/0.73 (define @t256 () (_ tptp.powerset @t43)) % 0.38/0.73 (define @t257 () (_ @t5 @t256)) % 0.38/0.73 (define @t258 () (forall @t46 (=> @t7 @t257))) % 0.38/0.73 (define @t259 () (= tptp.subPowSU @t258)) % 0.38/0.73 (define @t260 () (= @t153 @t22)) % 0.38/0.73 (define @t261 () (forall @t70 @t260)) % 0.38/0.73 (define @t262 () (exists @t9 @t261)) % 0.38/0.73 (define @t263 () (=> @t148 @t262)) % 0.38/0.73 (define @t264 () (forall @t150 @t263)) % 0.38/0.73 (define @t265 () (= tptp.exuE2 @t264)) % 0.38/0.73 (define @t266 () (and @t7 true)) % 0.38/0.73 (define @t267 () (exists @t9 @t266)) % 0.38/0.73 (define @t268 () (=> @t202 @t267)) % 0.38/0.73 (define @t269 () (forall @t64 @t268)) % 0.38/0.73 (define @t270 () (= tptp.nonemptyImpWitness @t269)) % 0.38/0.73 (define @t271 () (_ (_ tptp.setadjoin @t19) tptp.emptyset)) % 0.38/0.73 (define @t272 () (_ @t5 @t271)) % 0.38/0.73 (define @t273 () (forall @t135 (=> @t272 @t129))) % 0.38/0.73 (define @t274 () (= tptp.uniqinunit @t273)) % 0.38/0.73 (define @t275 () (_ @t24 tptp.emptyset)) % 0.38/0.73 (define @t276 () (_ @t20 @t275)) % 0.38/0.73 (define @t277 () (not @t276)) % 0.38/0.73 (define @t278 () (not @t129)) % 0.38/0.73 (define @t279 () (forall @t135 (=> @t278 @t277))) % 0.38/0.73 (define @t280 () (= tptp.notinsingleton @t279)) % 0.38/0.73 (define @t281 () (forall @t135 (=> @t129 @t272))) % 0.38/0.73 (define @t282 () (=> tptp.notinsingleton @t281)) % 0.38/0.73 (define @t283 () (=> tptp.uniqinunit @t282)) % 0.38/0.73 (define @t284 () (=> tptp.nonemptyImpWitness @t283)) % 0.38/0.73 (define @t285 () (=> tptp.exuE2 @t284)) % 0.38/0.73 (define @t286 () (=> tptp.subPowSU @t285)) % 0.38/0.73 (define @t287 () (=> tptp.setunionE @t286)) % 0.38/0.73 (define @t288 () (=> tptp.setunionI @t287)) % 0.38/0.73 (define @t289 () (=> tptp.powersetE @t288)) % 0.38/0.73 (define @t290 () (=> tptp.emptyInPowerset @t289)) % 0.38/0.73 (define @t291 () (=> tptp.emptyinPowerset @t290)) % 0.38/0.73 (define @t292 () (=> tptp.powersetI @t291)) % 0.38/0.73 (define @t293 () (=> tptp.setoftrueEq @t292)) % 0.38/0.73 (define @t294 () (=> tptp.setadjoinOr @t293)) % 0.38/0.73 (define @t295 () (=> tptp.setadjoinE @t294)) % 0.38/0.73 (define @t296 () (=> tptp.setadjoinIR @t295)) % 0.38/0.73 (define @t297 () (=> tptp.emptyinunitempty @t296)) % 0.38/0.73 (define @t298 () (=> tptp.setadjoinIL @t297)) % 0.38/0.73 (define @t299 () (=> tptp.nonemptyI1 @t298)) % 0.38/0.73 (define @t300 () (=> tptp.nonemptyI @t299)) % 0.38/0.73 (define @t301 () (=> tptp.nonemptyE1 @t300)) % 0.38/0.73 (define @t302 () (=> tptp.setbeta @t301)) % 0.38/0.73 (define @t303 () (=> tptp.noeltsimpempty @t302)) % 0.38/0.73 (define @t304 () (=> tptp.emptyI @t303)) % 0.38/0.73 (define @t305 () (=> tptp.setext @t304)) % 0.38/0.73 (define @t306 () (=> tptp.exuE3e @t305)) % 0.38/0.73 (define @t307 () (=> tptp.notinemptyset @t306)) % 0.38/0.73 (define @t308 () (=> tptp.emptysetimpfalse @t307)) % 0.38/0.73 (define @t309 () (=> tptp.emptysetE @t308)) % 0.38/0.73 (define @t310 () (=> tptp.prop2setE @t309)) % 0.38/0.73 (define @t311 () (=> tptp.exuE1 @t310)) % 0.38/0.73 (define @t312 () (=> tptp.dsetconstrER @t311)) % 0.38/0.73 (define @t313 () (=> tptp.dsetconstrEL @t312)) % 0.38/0.73 (define @t314 () (=> tptp.dsetconstrI @t313)) % 0.38/0.73 (define @t315 () (=> tptp.descrp @t314)) % 0.38/0.73 (define @t316 () (=> tptp.wellorderingAx @t315)) % 0.38/0.73 (define @t317 () (=> tptp.foundationAx @t316)) % 0.38/0.73 (define @t318 () (=> tptp.replAx @t317)) % 0.38/0.73 (define @t319 () (=> tptp.omegaIndAx @t318)) % 0.38/0.73 (define @t320 () (=> tptp.omegaSAx @t319)) % 0.38/0.73 (define @t321 () (=> tptp.omega0Ax @t320)) % 0.38/0.73 (define @t322 () (=> tptp.setunionAx @t321)) % 0.38/0.73 (define @t323 () (=> tptp.powersetAx @t322)) % 0.38/0.73 (define @t324 () (=> tptp.setadjoinAx @t323)) % 0.38/0.73 (define @t325 () (=> tptp.emptysetAx @t324)) % 0.38/0.73 (define @t326 () (=> tptp.setextAx @t325)) % 0.38/0.73 (define @t327 () (not @t326)) % 0.38/0.73 (define @t328 () (lambda @t150 @t168)) % 0.38/0.73 (define @t329 () (lambda @t9 @t172)) % 0.38/0.73 (define @t330 () (_ tptp.powerset tptp.emptyset)) % 0.38/0.73 (define @t331 () (_ tptp.dsetconstr @t330)) % 0.38/0.73 (define @t332 () (_ @t331 @t329)) % 0.38/0.73 (define @t333 () (lambda @t177 @t332)) % 0.38/0.73 (define @t334 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.38/0.73 (define @t335 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.38/0.73 (define @t336 () (tptp.in @t19 @t335)) % 0.38/0.73 (define @t337 () (forall @t70 @t336)) % 0.38/0.73 (define @t338 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.38/0.73 (define @t339 () (tptp.in @t19 @t338)) % 0.38/0.73 (define @t340 () (tptp.in @t4 @t335)) % 0.38/0.73 (define @t341 () (tptp.in @t4 @t2)) % 0.38/0.73 (define @t342 () (not @t341)) % 0.38/0.73 (define @t343 () (forall @t9 @t342)) % 0.38/0.73 (define @t344 () (not @t343)) % 0.38/0.73 (define @t345 () (forall @t64 (or @t193 @t344))) % 0.38/0.73 (define @t346 () (@var "BOUND_VARIABLE_8718" $$unsorted)) % 0.38/0.73 (define @t347 () (_ @t143 @t19)) % 0.38/0.73 (define @t348 () (not @t347)) % 0.38/0.73 (define @t349 () (not (_ @t143 @t346))) % 0.38/0.73 (define @t350 () (forall @t70 (= @t129 @t347))) % 0.38/0.73 (define @t351 () (not (forall @t9 (not @t350)))) % 0.38/0.73 (define @t352 () (@list @t143 @t346)) % 0.38/0.73 (define @t353 () (tptp.setunion @t2)) % 0.38/0.73 (define @t354 () (tptp.powerset @t353)) % 0.38/0.73 (define @t355 () (tptp.in @t4 @t354)) % 0.38/0.73 (define @t356 () (tptp.in @t1 @t2)) % 0.38/0.73 (define @t357 () (not @t356)) % 0.38/0.73 (define @t358 () (tptp.in @t4 @t1)) % 0.38/0.73 (define @t359 () (not @t358)) % 0.38/0.73 (define @t360 () (forall @t41 (or @t359 @t357))) % 0.38/0.73 (define @t361 () (not @t360)) % 0.38/0.73 (define @t362 () (tptp.in @t4 @t353)) % 0.38/0.73 (define @t363 () (tptp.powerset @t2)) % 0.38/0.73 (define @t364 () (tptp.in @t1 @t363)) % 0.38/0.73 (define @t365 () (tptp.in tptp.emptyset @t363)) % 0.38/0.73 (define @t366 () (forall @t64 @t365)) % 0.38/0.73 (define @t367 () (forall @t9 (or @t359 @t341))) % 0.38/0.73 (define @t368 () (not @t367)) % 0.38/0.73 (define @t369 () (@var "BOUND_VARIABLE_15726" $$unsorted)) % 0.38/0.73 (define @t370 () (lambda (@list @t369) true)) % 0.38/0.73 (define @t371 () (tptp.dsetconstr @t2 @t370)) % 0.38/0.74 (define @t372 () (tptp.in @t19 @t2)) % 0.38/0.74 (define @t373 () (tptp.setadjoin @t4 @t2)) % 0.38/0.74 (define @t374 () (tptp.in @t19 @t373)) % 0.38/0.74 (define @t375 () (forall @t28 (or (not @t374) @t129 @t372))) % 0.38/0.74 (define @t376 () (not @t372)) % 0.38/0.74 (define @t377 () (=> (forall @t28 (or @t376 @t374)) (=> @t375 (=> @t375 (=> (forall @t64 (= @t2 @t371)) (=> (forall @t12 (or @t368 @t364)) (=> @t366 (=> @t366 (=> (forall @t242 (or (not @t364) @t359 @t341)) (=> (forall @t246 (or @t359 @t357 @t362)) (=> (forall @t46 (or (not @t362) @t361)) (=> (forall @t46 (or @t342 @t355)) (=> (forall @t352 (or @t351 @t349 (not (forall @t70 (or @t348 (= @t19 @t346)))))) (=> @t345 (=> (forall @t135 (or (not @t340) @t129)) (=> (forall @t135 (or @t129 (not @t339))) @t337)))))))))))))))) % 0.38/0.74 (define @t378 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.38/0.74 (define @t379 () (tptp.in tptp.emptyset @t378)) % 0.38/0.74 (define @t380 () (=> @t218 @t377)) % 0.38/0.74 (define @t381 () (tptp.setadjoin @t4 @t19)) % 0.38/0.74 (define @t382 () (tptp.in @t4 @t381)) % 0.38/0.74 (define @t383 () (forall @t135 @t382)) % 0.38/0.74 (define @t384 () (=> @t383 @t380)) % 0.38/0.74 (define @t385 () (@var "BOUND_VARIABLE_8559" $$unsorted)) % 0.38/0.74 (define @t386 () (not (tptp.in @t385 tptp.emptyset))) % 0.38/0.74 (define @t387 () (@list @t385)) % 0.38/0.74 (define @t388 () (forall @t387 @t386)) % 0.38/0.74 (define @t389 () (=> @t388 @t384)) % 0.38/0.74 (define @t390 () (tptp.dsetconstr @t2 @t143)) % 0.38/0.74 (define @t391 () (_ @t143 @t4)) % 0.38/0.74 (define @t392 () (not @t391)) % 0.38/0.74 (define @t393 () (forall @t159 (or @t342 @t392 (not (= tptp.emptyset @t390))))) % 0.38/0.74 (define @t394 () (=> @t393 @t389)) % 0.38/0.74 (define @t395 () (=> @t345 @t394)) % 0.38/0.74 (define @t396 () (tptp.in @t4 @t390)) % 0.38/0.74 (define @t397 () (forall @t159 (or @t342 (= @t391 @t396)))) % 0.38/0.74 (define @t398 () (=> @t397 @t395)) % 0.38/0.74 (define @t399 () (forall @t64 (or @t344 @t193))) % 0.38/0.74 (define @t400 () (=> @t399 @t398)) % 0.38/0.74 (define @t401 () (=> @t399 @t400)) % 0.38/0.74 (define @t402 () (forall @t9 (or @t342 @t358))) % 0.38/0.74 (define @t403 () (not @t402)) % 0.38/0.74 (define @t404 () (or @t403 @t368 @t3)) % 0.38/0.74 (define @t405 () (forall @t12 @t404)) % 0.38/0.74 (define @t406 () (=> @t405 @t401)) % 0.38/0.74 (define @t407 () (@var "BOUND_VARIABLE_8456" $$unsorted)) % 0.38/0.74 (define @t408 () (not (_ @t143 @t407))) % 0.38/0.74 (define @t409 () (not (forall @t9 @t392))) % 0.38/0.74 (define @t410 () (@list @t143 @t407)) % 0.38/0.74 (define @t411 () (forall @t410 (or @t409 @t408 (not (forall @t70 (or @t348 (= @t19 @t407))))))) % 0.38/0.74 (define @t412 () (=> @t411 @t406)) % 0.38/0.74 (define @t413 () (tptp.in @t4 tptp.emptyset)) % 0.38/0.74 (define @t414 () (forall @t9 (not @t413))) % 0.38/0.74 (define @t415 () (=> @t414 @t412)) % 0.38/0.74 (define @t416 () (=> @t414 @t415)) % 0.38/0.74 (define @t417 () (=> @t414 @t416)) % 0.38/0.74 (define @t418 () (@var "BOUND_VARIABLE_15280" $$unsorted)) % 0.38/0.74 (define @t419 () (lambda (@list @t418) false)) % 0.38/0.74 (define @t420 () (tptp.powerset tptp.emptyset)) % 0.38/0.74 (define @t421 () (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t420 @t419))))) % 0.38/0.74 (define @t422 () (=> @t421 @t417)) % 0.38/0.74 (define @t423 () (not @t396)) % 0.38/0.74 (define @t424 () (forall @t159 (or @t423 @t391))) % 0.38/0.74 (define @t425 () (=> @t424 @t422)) % 0.38/0.74 (define @t426 () (forall @t159 (or @t423 @t341))) % 0.38/0.74 (define @t427 () (=> @t426 @t425)) % 0.38/0.74 (define @t428 () (forall @t159 (or @t342 @t392 @t396))) % 0.38/0.74 (define @t429 () (=> @t428 @t427)) % 0.38/0.74 (define @t430 () (@var "BOUND_VARIABLE_8327" $$unsorted)) % 0.38/0.74 (define @t431 () (not (_ @t143 @t430))) % 0.38/0.74 (define @t432 () (_ @t143 (tptp.descr @t143))) % 0.38/0.74 (define @t433 () (@list @t143 @t430)) % 0.38/0.74 (define @t434 () (forall @t433 (or @t432 @t431 (not (forall @t70 (or @t348 (= @t19 @t430))))))) % 0.38/0.74 (define @t435 () (=> @t434 @t429)) % 0.38/0.74 (define @t436 () (@var "BOUND_VARIABLE_8247" $$unsorted)) % 0.38/0.74 (define @t437 () (tptp.in @t436 @t95)) % 0.38/0.74 (define @t438 () (not (tptp.in @t436 @t93))) % 0.38/0.74 (define @t439 () (tptp.in @t4 @t93)) % 0.38/0.74 (define @t440 () (tptp.in @t93 @t1)) % 0.38/0.74 (define @t441 () (not @t440)) % 0.38/0.74 (define @t442 () (or @t441 @t439 @t438 @t437)) % 0.38/0.74 (define @t443 () (@list @t93 @t436)) % 0.38/0.74 (define @t444 () (forall @t443 @t442)) % 0.38/0.74 (define @t445 () (not @t444)) % 0.38/0.74 (define @t446 () (tptp.in @t19 @t104)) % 0.38/0.74 (define @t447 () (tptp.in @t19 @t95)) % 0.38/0.74 (define @t448 () (forall @t70 (or (not @t447) (not @t446)))) % 0.38/0.74 (define @t449 () (not @t448)) % 0.38/0.74 (define @t450 () (tptp.in @t4 @t104)) % 0.38/0.74 (define @t451 () (not @t450)) % 0.38/0.74 (define @t452 () (tptp.in @t95 @t1)) % 0.38/0.74 (define @t453 () (not @t452)) % 0.38/0.74 (define @t454 () (not (forall @t112 (or @t453 @t451 @t449 @t445)))) % 0.38/0.74 (define @t455 () (@var "BOUND_VARIABLE_8276" $$unsorted)) % 0.38/0.74 (define @t456 () (not (tptp.in @t455 @t104))) % 0.38/0.74 (define @t457 () (forall @t9 (or @t451 @t341))) % 0.38/0.74 (define @t458 () (not @t457)) % 0.38/0.74 (define @t459 () (or @t458 @t456 @t454)) % 0.38/0.74 (define @t460 () (forall (@list @t104 @t455) @t459)) % 0.38/0.74 (define @t461 () (not @t460)) % 0.38/0.74 (define @t462 () (@var "BOUND_VARIABLE_8199" $$unsorted)) % 0.38/0.74 (define @t463 () (tptp.in @t462 @t104)) % 0.38/0.74 (define @t464 () (not (tptp.in @t462 @t95))) % 0.38/0.74 (define @t465 () (@var "BOUND_VARIABLE_8193" $$unsorted)) % 0.38/0.74 (define @t466 () (tptp.in @t465 @t95)) % 0.38/0.74 (define @t467 () (not (tptp.in @t465 @t104))) % 0.38/0.74 (define @t468 () (tptp.in @t104 @t1)) % 0.38/0.74 (define @t469 () (not @t468)) % 0.38/0.74 (define @t470 () (or @t469 @t453 @t467 @t466 @t464 @t463)) % 0.38/0.74 (define @t471 () (@list @t104 @t95 @t465 @t462)) % 0.38/0.74 (define @t472 () (forall @t471 @t470)) % 0.38/0.74 (define @t473 () (not @t472)) % 0.38/0.74 (define @t474 () (forall @t118 (or @t469 (= @t450 @t446)))) % 0.38/0.74 (define @t475 () (not @t474)) % 0.38/0.74 (define @t476 () (forall @t135 (or @t342 @t376 @t475 @t129))) % 0.38/0.74 (define @t477 () (not @t476)) % 0.38/0.74 (define @t478 () (@var "BOUND_VARIABLE_8142" $$unsorted)) % 0.38/0.74 (define @t479 () (tptp.in @t478 @t2)) % 0.38/0.74 (define @t480 () (not (tptp.in @t478 @t104))) % 0.38/0.74 (define @t481 () (or @t469 @t480 @t479)) % 0.38/0.74 (define @t482 () (@list @t104 @t478)) % 0.38/0.74 (define @t483 () (forall @t482 @t481)) % 0.38/0.74 (define @t484 () (not @t483)) % 0.38/0.74 (define @t485 () (or @t484 @t477 @t473 @t461)) % 0.38/0.74 (define @t486 () (forall @t64 (not (forall @t41 @t485)))) % 0.38/0.74 (define @t487 () (=> @t486 @t435)) % 0.38/0.74 (define @t488 () (forall @t9 (or @t359 @t342))) % 0.38/0.74 (define @t489 () (not @t488)) % 0.38/0.74 (define @t490 () (not (forall @t41 (or @t357 @t489)))) % 0.38/0.74 (define @t491 () (@var "BOUND_VARIABLE_8117" $$unsorted)) % 0.38/0.74 (define @t492 () (not (tptp.in @t491 @t2))) % 0.38/0.74 (define @t493 () (or @t492 @t490)) % 0.38/0.74 (define @t494 () (forall (@list @t2 @t491) @t493)) % 0.38/0.74 (define @t495 () (=> @t494 @t487)) % 0.38/0.74 (define @t496 () (_ @t67 @t19 @t4)) % 0.38/0.74 (define @t497 () (not (forall @t70 (or @t376 (not @t496))))) % 0.38/0.74 (define @t498 () (forall @t9 (= @t358 @t497))) % 0.38/0.74 (define @t499 () (not (forall @t41 (not @t498)))) % 0.38/0.74 (define @t500 () (@var "BOUND_VARIABLE_8007" $$unsorted)) % 0.38/0.74 (define @t501 () (= @t19 @t500)) % 0.38/0.74 (define @t502 () (_ @t67 @t4 @t19)) % 0.38/0.74 (define @t503 () (not (forall @t70 (or (not @t502) @t501)))) % 0.38/0.74 (define @t504 () (_ @t67 @t4 @t500)) % 0.38/0.74 (define @t505 () (@list @t500)) % 0.38/0.74 (define @t506 () (not (forall @t505 (or (not @t504) @t503)))) % 0.38/0.74 (define @t507 () (forall @t9 (or @t342 @t506))) % 0.38/0.74 (define @t508 () (forall @t81 (or (not @t507) @t499))) % 0.38/0.74 (define @t509 () (=> @t508 @t495)) % 0.38/0.74 (define @t510 () (@var "BOUND_VARIABLE_7988" $$unsorted)) % 0.38/0.74 (define @t511 () (tptp.in @t510 @t2)) % 0.38/0.74 (define @t512 () (not (tptp.in @t510 tptp.omega))) % 0.38/0.74 (define @t513 () (tptp.setadjoin @t4 @t4)) % 0.38/0.74 (define @t514 () (tptp.in @t513 @t2)) % 0.38/0.74 (define @t515 () (tptp.in @t4 tptp.omega)) % 0.38/0.74 (define @t516 () (not @t515)) % 0.38/0.74 (define @t517 () (forall @t9 (or @t516 @t342 @t514))) % 0.38/0.74 (define @t518 () (not @t517)) % 0.38/0.74 (define @t519 () (tptp.in tptp.emptyset @t2)) % 0.38/0.74 (define @t520 () (not @t519)) % 0.38/0.74 (define @t521 () (or @t520 @t518 @t512 @t511)) % 0.38/0.74 (define @t522 () (@list @t2 @t510)) % 0.38/0.74 (define @t523 () (forall @t522 @t521)) % 0.38/0.74 (define @t524 () (=> @t523 @t509)) % 0.38/0.74 (define @t525 () (tptp.in @t513 tptp.omega)) % 0.38/0.74 (define @t526 () (forall @t9 (or @t516 @t525))) % 0.38/0.74 (define @t527 () (=> @t526 @t524)) % 0.38/0.74 (define @t528 () (tptp.in tptp.emptyset tptp.omega)) % 0.38/0.74 (define @t529 () (=> @t50 @t527)) % 0.38/0.74 (define @t530 () (forall @t46 (= @t361 @t362))) % 0.38/0.74 (define @t531 () (=> @t530 @t529)) % 0.38/0.74 (define @t532 () (forall @t12 (= @t367 @t364))) % 0.38/0.74 (define @t533 () (=> @t532 @t531)) % 0.38/0.74 (define @t534 () (or @t129 @t372)) % 0.38/0.74 (define @t535 () (forall @t28 (= @t374 @t534))) % 0.38/0.74 (define @t536 () (=> @t535 @t533)) % 0.38/0.74 (define @t537 () (=> @t414 @t536)) % 0.38/0.74 (define @t538 () (forall @t9 (= @t341 @t358))) % 0.38/0.74 (define @t539 () (forall @t12 (or (not @t538) @t3))) % 0.38/0.74 (define @t540 () (=> @t539 @t537)) % 0.38/0.74 (define @t541 () (=> @t424 (=> true @t422))) % 0.38/0.74 (define @t542 () (=> @t426 @t541)) % 0.38/0.74 (define @t543 () (=> @t428 @t542)) % 0.38/0.74 (define @t544 () (=> @t434 @t543)) % 0.38/0.74 (define @t545 () (=> @t486 @t544)) % 0.38/0.74 (define @t546 () (=> @t494 @t545)) % 0.38/0.74 (define @t547 () (=> @t508 @t546)) % 0.38/0.74 (define @t548 () (=> @t523 @t547)) % 0.38/0.74 (define @t549 () (=> @t526 @t548)) % 0.38/0.74 (define @t550 () (=> @t50 @t549)) % 0.38/0.74 (define @t551 () (=> @t530 @t550)) % 0.38/0.74 (define @t552 () (=> @t532 @t551)) % 0.38/0.74 (define @t553 () (=> @t535 @t552)) % 0.38/0.74 (define @t554 () (=> @t414 @t553)) % 0.38/0.74 (define @t555 () (=> @t539 @t554)) % 0.38/0.74 (define @t556 () (or @t129 @t277)) % 0.38/0.74 (define @t557 () (=> tptp.notinsingleton @t337)) % 0.38/0.74 (define @t558 () (not @t272)) % 0.38/0.74 (define @t559 () (or @t558 @t129)) % 0.38/0.74 (define @t560 () (=> tptp.uniqinunit @t557)) % 0.38/0.74 (define @t561 () (not @t193)) % 0.38/0.74 (define @t562 () (not @t195)) % 0.38/0.74 (define @t563 () (_ @t334 @t2)) % 0.38/0.74 (define @t564 () (=> @t563 @t267)) % 0.38/0.74 (define @t565 () (forall @t64 @t564)) % 0.38/0.74 (define @t566 () (=> tptp.nonemptyImpWitness @t560)) % 0.38/0.74 (define @t567 () (or @t348 (= @t346 @t19))) % 0.38/0.74 (define @t568 () (forall @t70 @t567)) % 0.38/0.74 (define @t569 () (not @t568)) % 0.38/0.74 (define @t570 () (or @t351 @t349 @t569)) % 0.38/0.74 (define @t571 () (or @t349 @t569)) % 0.38/0.74 (define @t572 () (or @t571 @t351)) % 0.38/0.74 (define @t573 () (forall @t352 @t572)) % 0.38/0.74 (define @t574 () (@list @t346)) % 0.38/0.74 (define @t575 () (forall @t574 @t572)) % 0.38/0.74 (define @t576 () (forall @t574 @t571)) % 0.38/0.74 (define @t577 () (@list @t4)) % 0.38/0.74 (define @t578 () (or @t576 @t351)) % 0.38/0.74 (define @t579 () (forall @t70 (or @t348 @t129))) % 0.38/0.74 (define @t580 () (not @t579)) % 0.38/0.74 (define @t581 () (forall @t9 (or @t392 @t580))) % 0.38/0.74 (define @t582 () (not @t581)) % 0.38/0.74 (define @t583 () (not @t582)) % 0.38/0.74 (define @t584 () (= @t153 @t129)) % 0.38/0.74 (define @t585 () (not @t144)) % 0.38/0.74 (define @t586 () (or @t585 @t580)) % 0.38/0.74 (define @t587 () (not @t153)) % 0.38/0.74 (define @t588 () (or @t587 @t129)) % 0.38/0.74 (define @t589 () (_ @t145 @t19)) % 0.38/0.74 (define @t590 () (not @t589)) % 0.38/0.74 (define @t591 () (or @t590 @t129)) % 0.38/0.74 (define @t592 () (forall @t70 @t591)) % 0.38/0.74 (define @t593 () (not @t592)) % 0.38/0.74 (define @t594 () (_ @t145 @t4)) % 0.38/0.74 (define @t595 () (not @t594)) % 0.38/0.74 (define @t596 () (or @t595 @t593)) % 0.38/0.74 (define @t597 () (forall @t9 @t596)) % 0.38/0.74 (define @t598 () (not @t597)) % 0.38/0.74 (define @t599 () (lambda @t150 @t582)) % 0.38/0.74 (define @t600 () (_ @t599 @t145)) % 0.38/0.74 (define @t601 () (=> @t600 @t262)) % 0.38/0.74 (define @t602 () (forall @t150 @t601)) % 0.38/0.74 (define @t603 () (and @t144 @t579)) % 0.38/0.74 (define @t604 () (forall @t9 (not @t603))) % 0.38/0.74 (define @t605 () (not @t604)) % 0.38/0.74 (define @t606 () (=> tptp.exuE2 @t566)) % 0.38/0.74 (define @t607 () (or @t194 @t257)) % 0.38/0.74 (define @t608 () (=> tptp.subPowSU @t606)) % 0.38/0.74 (define @t609 () (not @t44)) % 0.38/0.74 (define @t610 () (or @t609 @t361)) % 0.38/0.74 (define @t611 () (not false)) % 0.38/0.74 (define @t612 () (and @t611 @t361)) % 0.38/0.74 (define @t613 () (or @t612 false)) % 0.38/0.74 (define @t614 () (not @t172)) % 0.38/0.74 (define @t615 () (and @t614 @t361)) % 0.38/0.74 (define @t616 () (not (= @t172 false))) % 0.38/0.74 (define @t617 () (or @t172 @t615 @t172)) % 0.38/0.74 (define @t618 () (or @t615 @t172)) % 0.38/0.74 (define @t619 () (or @t172 @t360)) % 0.38/0.74 (define @t620 () (not @t39)) % 0.38/0.74 (define @t621 () (not @t6)) % 0.38/0.74 (define @t622 () (or @t621 @t620)) % 0.38/0.74 (define @t623 () (forall @t41 @t622)) % 0.38/0.74 (define @t624 () (or @t172 @t623)) % 0.38/0.74 (define @t625 () (or @t172 @t622)) % 0.38/0.74 (define @t626 () (or @t621 @t620 @t172)) % 0.38/0.74 (define @t627 () (=> tptp.setunionE @t608)) % 0.38/0.74 (define @t628 () (or @t621 @t620 @t44)) % 0.38/0.74 (define @t629 () (=> tptp.setunionI @t627)) % 0.38/0.74 (define @t630 () (not @t35)) % 0.38/0.74 (define @t631 () (or @t630 @t621 @t7)) % 0.38/0.74 (define @t632 () (or @t621 @t7)) % 0.38/0.74 (define @t633 () (=> tptp.powersetE @t629)) % 0.38/0.74 (define @t634 () (=> tptp.emptyInPowerset @t633)) % 0.38/0.74 (define @t635 () (=> tptp.emptyinPowerset @t634)) % 0.38/0.74 (define @t636 () (or @t368 @t35)) % 0.38/0.74 (define @t637 () (=> tptp.powersetI @t635)) % 0.38/0.74 (define @t638 () (_ @t155 @t370)) % 0.38/0.74 (define @t639 () (= @t2 @t638)) % 0.38/0.74 (define @t640 () (=> tptp.setoftrueEq @t637)) % 0.38/0.74 (define @t641 () (not @t26)) % 0.38/0.74 (define @t642 () (or @t641 @t129 @t21)) % 0.38/0.74 (define @t643 () (or @t129 @t21)) % 0.38/0.74 (define @t644 () (=> tptp.setadjoinOr @t640)) % 0.38/0.74 (define @t645 () (or @t641 @t129 @t372)) % 0.38/0.74 (define @t646 () (and @t372 @t611)) % 0.38/0.74 (define @t647 () (and @t129 @t611)) % 0.38/0.74 (define @t648 () (or @t647 @t646)) % 0.38/0.74 (define @t649 () (or @t647 @t646 false)) % 0.38/0.74 (define @t650 () (and @t372 @t614)) % 0.38/0.74 (define @t651 () (and @t129 @t614)) % 0.38/0.74 (define @t652 () (or @t172 @t651 @t650 @t172)) % 0.38/0.74 (define @t653 () (or @t651 @t650 @t172)) % 0.38/0.74 (define @t654 () (and @t21 @t614)) % 0.38/0.74 (define @t655 () (or @t651 @t654 @t172)) % 0.38/0.74 (define @t656 () (=> @t129 @t172)) % 0.38/0.74 (define @t657 () (=> tptp.setadjoinE @t644)) % 0.38/0.74 (define @t658 () (not @t21)) % 0.38/0.74 (define @t659 () (or @t658 @t26)) % 0.38/0.74 (define @t660 () (=> tptp.setadjoinIR @t657)) % 0.38/0.74 (define @t661 () (=> tptp.emptyinunitempty @t660)) % 0.38/0.74 (define @t662 () (=> tptp.setadjoinIL @t661)) % 0.38/0.74 (define @t663 () (not (= tptp.emptyset tptp.emptyset))) % 0.38/0.74 (define @t664 () (or @t386 @t663)) % 0.38/0.74 (define @t665 () (not (tptp.in @t385 @t2))) % 0.38/0.74 (define @t666 () (or @t561 @t665 @t561)) % 0.38/0.74 (define @t667 () (or @t665 @t561)) % 0.38/0.74 (define @t668 () (forall @t64 @t667)) % 0.38/0.74 (define @t669 () (forall @t387 @t668)) % 0.38/0.74 (define @t670 () (forall (@list @t385 @t2) @t667)) % 0.38/0.74 (define @t671 () (forall (@list @t2 @t385) @t667)) % 0.38/0.74 (define @t672 () (forall @t387 @t667)) % 0.38/0.74 (define @t673 () (forall @t387 @t665)) % 0.38/0.74 (define @t674 () (or @t673 @t561)) % 0.38/0.74 (define @t675 () (not @t344)) % 0.38/0.74 (define @t676 () (=> @t89 @t563)) % 0.38/0.74 (define @t677 () (forall @t64 @t676)) % 0.38/0.74 (define @t678 () (=> tptp.nonemptyI1 @t662)) % 0.38/0.74 (define @t679 () (lambda @t70 @t347)) % 0.38/0.74 (define @t680 () (tptp.dsetconstr @t2 @t679)) % 0.38/0.74 (define @t681 () (= tptp.emptyset @t680)) % 0.38/0.74 (define @t682 () (not @t681)) % 0.38/0.74 (define @t683 () (or @t342 @t392 @t682)) % 0.38/0.74 (define @t684 () (= tptp.emptyset @t156)) % 0.38/0.74 (define @t685 () (not @t684)) % 0.38/0.74 (define @t686 () (or @t194 @t585 @t685)) % 0.38/0.74 (define @t687 () (=> @t144 @t685)) % 0.38/0.74 (define @t688 () (not (= @t156 tptp.emptyset))) % 0.38/0.74 (define @t689 () (_ @t334 @t156)) % 0.38/0.74 (define @t690 () (=> @t144 @t689)) % 0.38/0.74 (define @t691 () (=> @t7 @t690)) % 0.38/0.74 (define @t692 () (forall @t159 @t691)) % 0.38/0.74 (define @t693 () (=> tptp.nonemptyI @t678)) % 0.38/0.74 (define @t694 () (=> @t563 @t89)) % 0.38/0.74 (define @t695 () (forall @t64 @t694)) % 0.38/0.74 (define @t696 () (=> tptp.nonemptyE1 @t693)) % 0.38/0.74 (define @t697 () (tptp.in @t4 @t680)) % 0.38/0.74 (define @t698 () (= @t391 @t697)) % 0.38/0.74 (define @t699 () (or @t342 @t698)) % 0.38/0.74 (define @t700 () (= @t144 @t157)) % 0.38/0.74 (define @t701 () (or @t194 @t700)) % 0.38/0.74 (define @t702 () (=> tptp.setbeta @t696)) % 0.38/0.74 (define @t703 () (=> tptp.noeltsimpempty @t702)) % 0.38/0.74 (define @t704 () (=> tptp.emptyI @t703)) % 0.38/0.74 (define @t705 () (=> @t367 @t3)) % 0.38/0.74 (define @t706 () (or @t194 @t6)) % 0.38/0.74 (define @t707 () (=> tptp.setext @t704)) % 0.38/0.74 (define @t708 () (or @t348 (= @t407 @t19))) % 0.38/0.74 (define @t709 () (forall @t70 @t708)) % 0.38/0.74 (define @t710 () (not @t709)) % 0.38/0.74 (define @t711 () (or @t409 @t408 @t710)) % 0.38/0.74 (define @t712 () (or @t408 @t710)) % 0.38/0.74 (define @t713 () (or @t712 @t409)) % 0.38/0.74 (define @t714 () (forall @t410 @t713)) % 0.38/0.74 (define @t715 () (@list @t407)) % 0.38/0.74 (define @t716 () (forall @t715 @t713)) % 0.38/0.74 (define @t717 () (forall @t715 @t712)) % 0.38/0.74 (define @t718 () (or @t717 @t409)) % 0.38/0.74 (define @t719 () (forall @t9 @t585)) % 0.38/0.74 (define @t720 () (not @t719)) % 0.38/0.74 (define @t721 () (=> @t600 @t184)) % 0.38/0.74 (define @t722 () (forall @t150 @t721)) % 0.38/0.74 (define @t723 () (=> tptp.exuE3e @t707)) % 0.38/0.74 (define @t724 () (=> tptp.notinemptyset @t723)) % 0.38/0.74 (define @t725 () (=> tptp.emptysetimpfalse @t724)) % 0.38/0.74 (define @t726 () (or @t172 @t172)) % 0.38/0.74 (define @t727 () (=> tptp.emptysetE @t725)) % 0.38/0.74 (define @t728 () (@var "BOUND_VARIABLE_8401" $$unsorted)) % 0.38/0.74 (define @t729 () (@list @t728)) % 0.38/0.74 (define @t730 () (lambda @t729 false)) % 0.38/0.74 (define @t731 () (@list @t728)) % 0.38/0.74 (define @t732 () (tptp.dsetconstr @t420 @t730)) % 0.38/0.74 (define @t733 () (tptp.in @t4 @t732)) % 0.38/0.74 (define @t734 () (not @t733)) % 0.38/0.74 (define @t735 () (or @t734 false)) % 0.38/0.74 (define @t736 () (lambda @t729 @t172)) % 0.38/0.74 (define @t737 () (tptp.dsetconstr @t420 @t736)) % 0.38/0.74 (define @t738 () (tptp.in @t4 @t737)) % 0.38/0.74 (define @t739 () (not @t738)) % 0.38/0.74 (define @t740 () (or @t172 @t739 @t172)) % 0.38/0.74 (define @t741 () (or @t739 @t172)) % 0.38/0.74 (define @t742 () (forall @t177 @t741)) % 0.38/0.74 (define @t743 () (forall @t9 @t742)) % 0.38/0.74 (define @t744 () (forall (@list @t4 @t172) @t741)) % 0.38/0.74 (define @t745 () (_ @t331 @t736)) % 0.38/0.74 (define @t746 () (_ @t5 @t745)) % 0.38/0.74 (define @t747 () (not @t746)) % 0.38/0.74 (define @t748 () (or @t747 @t172)) % 0.38/0.74 (define @t749 () (=> (_ @t5 @t332) @t172)) % 0.38/0.74 (define @t750 () (_ @t333 @t172)) % 0.38/0.74 (define @t751 () (=> (_ @t5 @t750) @t172)) % 0.38/0.74 (define @t752 () (forall @t174 @t751)) % 0.38/0.74 (define @t753 () (=> tptp.prop2setE @t727)) % 0.38/0.74 (define @t754 () (=> @t600 @t168)) % 0.38/0.74 (define @t755 () (forall @t150 @t754)) % 0.38/0.74 (define @t756 () (=> tptp.exuE1 @t753)) % 0.38/0.74 (define @t757 () (not @t697)) % 0.38/0.74 (define @t758 () (or @t757 @t391)) % 0.38/0.74 (define @t759 () (not @t157)) % 0.38/0.74 (define @t760 () (or @t759 @t144)) % 0.38/0.74 (define @t761 () (=> tptp.dsetconstrER @t756)) % 0.38/0.74 (define @t762 () (or @t757 @t341)) % 0.38/0.74 (define @t763 () (or @t759 @t7)) % 0.38/0.74 (define @t764 () (=> tptp.dsetconstrEL @t761)) % 0.38/0.74 (define @t765 () (or @t342 @t392 @t697)) % 0.38/0.74 (define @t766 () (or @t194 @t585 @t157)) % 0.38/0.74 (define @t767 () (=> tptp.dsetconstrI @t764)) % 0.38/0.74 (define @t768 () (or @t348 (= @t430 @t19))) % 0.38/0.74 (define @t769 () (forall @t70 @t768)) % 0.38/0.74 (define @t770 () (not @t769)) % 0.38/0.74 (define @t771 () (or @t432 @t431 @t770)) % 0.38/0.74 (define @t772 () (or @t431 @t770)) % 0.38/0.74 (define @t773 () (or @t772 @t432)) % 0.38/0.74 (define @t774 () (forall @t433 @t773)) % 0.38/0.74 (define @t775 () (@list @t430)) % 0.38/0.74 (define @t776 () (forall @t775 @t773)) % 0.38/0.74 (define @t777 () (forall @t775 @t772)) % 0.38/0.74 (define @t778 () (or @t777 @t432)) % 0.38/0.74 (define @t779 () (lambda @t9 @t391)) % 0.38/0.74 (define @t780 () (tptp.descr @t779)) % 0.38/0.74 (define @t781 () (_ @t143 @t780)) % 0.38/0.74 (define @t782 () (or @t581 @t781)) % 0.38/0.74 (define @t783 () (or @t581 @t147)) % 0.38/0.74 (define @t784 () (=> @t600 @t147)) % 0.38/0.74 (define @t785 () (forall @t150 @t784)) % 0.38/0.74 (define @t786 () (=> tptp.descrp @t767)) % 0.38/0.74 (define @t787 () (and @t483 @t476 @t472 @t460)) % 0.38/0.74 (define @t788 () (forall @t41 (not @t787))) % 0.38/0.74 (define @t789 () (not @t788)) % 0.38/0.74 (define @t790 () (@list @t455)) % 0.38/0.74 (define @t791 () (forall @t790 @t459)) % 0.38/0.74 (define @t792 () (forall @t790 @t456)) % 0.38/0.74 (define @t793 () (or @t458 @t792 @t454)) % 0.38/0.74 (define @t794 () (forall @t9 @t451)) % 0.38/0.74 (define @t795 () (or @t458 @t794 @t454)) % 0.38/0.74 (define @t796 () (not @t794)) % 0.38/0.74 (define @t797 () (and @t457 @t796)) % 0.38/0.74 (define @t798 () (not @t109)) % 0.38/0.74 (define @t799 () (not @t110)) % 0.38/0.74 (define @t800 () (or @t799 @t798 @t449 @t445)) % 0.38/0.74 (define @t801 () (and @t110 @t109 @t448 @t444)) % 0.38/0.74 (define @t802 () (forall @t112 (not @t801))) % 0.38/0.74 (define @t803 () (not @t802)) % 0.38/0.74 (define @t804 () (or @t438 @t437)) % 0.38/0.74 (define @t805 () (or @t441 @t804 @t439)) % 0.38/0.74 (define @t806 () (forall @t443 @t805)) % 0.38/0.74 (define @t807 () (@list @t436)) % 0.38/0.74 (define @t808 () (forall @t807 @t805)) % 0.38/0.74 (define @t809 () (forall @t807 @t804)) % 0.38/0.74 (define @t810 () (or @t441 @t809 @t439)) % 0.38/0.74 (define @t811 () (tptp.in @t19 @t93)) % 0.38/0.74 (define @t812 () (forall @t70 (or (not @t811) @t447))) % 0.38/0.74 (define @t813 () (not @t100)) % 0.38/0.74 (define @t814 () (or @t813 @t812 @t94)) % 0.38/0.74 (define @t815 () (or @t812 @t94)) % 0.38/0.74 (define @t816 () (not @t97)) % 0.38/0.74 (define @t817 () (or @t816 @t96)) % 0.38/0.74 (define @t818 () (not @t105)) % 0.38/0.74 (define @t819 () (not @t96)) % 0.38/0.74 (define @t820 () (or @t819 @t818)) % 0.38/0.74 (define @t821 () (forall @t70 (not @t106))) % 0.38/0.74 (define @t822 () (not @t821)) % 0.38/0.74 (define @t823 () (forall @t9 @t798)) % 0.38/0.74 (define @t824 () (not @t823)) % 0.38/0.74 (define @t825 () (or @t798 @t7)) % 0.38/0.74 (define @t826 () (or @t464 @t463)) % 0.38/0.74 (define @t827 () (or @t467 @t466)) % 0.38/0.74 (define @t828 () (or @t469 @t453 @t827 @t826)) % 0.38/0.74 (define @t829 () (forall @t471 @t828)) % 0.38/0.74 (define @t830 () (forall (@list @t465 @t462) @t828)) % 0.38/0.74 (define @t831 () (forall (@list @t462) @t826)) % 0.38/0.74 (define @t832 () (forall (@list @t465) @t827)) % 0.38/0.74 (define @t833 () (or @t469 @t453 @t832 @t831)) % 0.38/0.74 (define @t834 () (tptp.in @t4 @t95)) % 0.38/0.74 (define @t835 () (forall @t9 (or (not @t834) @t450))) % 0.38/0.74 (define @t836 () (forall @t9 (or @t451 @t834))) % 0.38/0.74 (define @t837 () (not @t124)) % 0.38/0.74 (define @t838 () (or @t837 @t799 @t836 @t835)) % 0.38/0.74 (define @t839 () (or @t836 @t835)) % 0.38/0.74 (define @t840 () (not @t120)) % 0.38/0.74 (define @t841 () (or @t840 @t109)) % 0.38/0.74 (define @t842 () (or @t798 @t120)) % 0.38/0.74 (define @t843 () (or @t194 @t658 @t475 @t129)) % 0.38/0.74 (define @t844 () (=> @t474 @t129)) % 0.38/0.74 (define @t845 () (or @t837 @t130)) % 0.38/0.74 (define @t846 () (or @t480 @t479)) % 0.38/0.74 (define @t847 () (or @t469 @t846)) % 0.38/0.74 (define @t848 () (forall @t482 @t847)) % 0.38/0.74 (define @t849 () (@list @t478)) % 0.38/0.74 (define @t850 () (forall @t849 @t847)) % 0.38/0.74 (define @t851 () (forall @t849 @t846)) % 0.38/0.74 (define @t852 () (or @t469 @t851)) % 0.38/0.74 (define @t853 () (or @t837 @t457)) % 0.38/0.74 (define @t854 () (=> tptp.wellorderingAx @t786)) % 0.38/0.74 (define @t855 () (@list @t491)) % 0.38/0.74 (define @t856 () (forall @t855 @t493)) % 0.38/0.74 (define @t857 () (forall @t855 @t492)) % 0.38/0.74 (define @t858 () (or @t857 @t490)) % 0.38/0.74 (define @t859 () (or @t620 @t489)) % 0.38/0.74 (define @t860 () (and @t39 @t488)) % 0.38/0.74 (define @t861 () (forall @t41 (not @t860))) % 0.38/0.74 (define @t862 () (not @t861)) % 0.38/0.74 (define @t863 () (or @t621 @t194)) % 0.38/0.74 (define @t864 () (forall @t9 (not @t84))) % 0.38/0.74 (define @t865 () (not @t864)) % 0.38/0.74 (define @t866 () (=> tptp.foundationAx @t854)) % 0.38/0.74 (define @t867 () (= @t6 @t497)) % 0.38/0.74 (define @t868 () (not @t68)) % 0.38/0.74 (define @t869 () (or @t658 @t868)) % 0.38/0.74 (define @t870 () (forall @t70 (not @t69))) % 0.38/0.74 (define @t871 () (not @t870)) % 0.38/0.74 (define @t872 () (or @t194 @t506)) % 0.38/0.74 (define @t873 () (_ @t75 @t500)) % 0.38/0.74 (define @t874 () (not @t873)) % 0.38/0.74 (define @t875 () (or @t874 @t503)) % 0.38/0.74 (define @t876 () (not @t76)) % 0.38/0.74 (define @t877 () (or @t876 @t501)) % 0.38/0.74 (define @t878 () (_ @t77 @t19)) % 0.38/0.74 (define @t879 () (not @t878)) % 0.38/0.74 (define @t880 () (or @t879 @t501)) % 0.38/0.74 (define @t881 () (forall @t70 @t880)) % 0.38/0.74 (define @t882 () (not @t881)) % 0.38/0.74 (define @t883 () (_ @t77 @t500)) % 0.38/0.74 (define @t884 () (not @t883)) % 0.38/0.74 (define @t885 () (or @t884 @t882)) % 0.38/0.74 (define @t886 () (forall @t505 @t885)) % 0.38/0.74 (define @t887 () (not @t886)) % 0.38/0.74 (define @t888 () (not (_ @t143 @t500))) % 0.38/0.74 (define @t889 () (or @t348 (= @t500 @t19))) % 0.38/0.74 (define @t890 () (forall @t70 @t889)) % 0.38/0.74 (define @t891 () (not @t890)) % 0.38/0.74 (define @t892 () (or @t888 @t891)) % 0.38/0.74 (define @t893 () (forall @t505 @t892)) % 0.38/0.74 (define @t894 () (not @t893)) % 0.38/0.74 (define @t895 () (=> @t7 (_ @t599 @t77))) % 0.38/0.74 (define @t896 () (forall @t9 @t895)) % 0.38/0.74 (define @t897 () (=> @t896 @t74)) % 0.38/0.74 (define @t898 () (forall @t81 @t897)) % 0.38/0.74 (define @t899 () (=> tptp.replAx @t866)) % 0.38/0.74 (define @t900 () (or @t512 @t511)) % 0.38/0.74 (define @t901 () (or @t520 @t518 @t900)) % 0.38/0.74 (define @t902 () (forall @t522 @t901)) % 0.38/0.74 (define @t903 () (@list @t510)) % 0.38/0.74 (define @t904 () (forall @t903 @t901)) % 0.38/0.74 (define @t905 () (forall @t903 @t900)) % 0.38/0.74 (define @t906 () (or @t520 @t518 @t905)) % 0.38/0.74 (define @t907 () (forall @t9 (or @t516 @t341))) % 0.38/0.74 (define @t908 () (not @t61)) % 0.38/0.74 (define @t909 () (or @t908 @t518 @t907)) % 0.38/0.74 (define @t910 () (and @t61 @t517)) % 0.38/0.74 (define @t911 () (not @t54)) % 0.38/0.74 (define @t912 () (or @t911 @t7)) % 0.38/0.74 (define @t913 () (_ tptp.in @t513)) % 0.38/0.74 (define @t914 () (or @t911 @t194 @t58)) % 0.38/0.74 (define @t915 () (=> tptp.omegaIndAx @t899)) % 0.38/0.74 (define @t916 () (or @t911 @t53)) % 0.38/0.74 (define @t917 () (=> tptp.omegaSAx @t915)) % 0.38/0.74 (define @t918 () (=> tptp.omega0Ax @t917)) % 0.38/0.74 (define @t919 () (= @t44 @t361)) % 0.38/0.74 (define @t920 () (forall @t41 (not @t40))) % 0.38/0.74 (define @t921 () (not @t920)) % 0.38/0.74 (define @t922 () (=> tptp.setunionAx @t918)) % 0.38/0.74 (define @t923 () (= @t35 @t367)) % 0.38/0.74 (define @t924 () (=> tptp.powersetAx @t922)) % 0.38/0.74 (define @t925 () (= @t26 @t643)) % 0.38/0.74 (define @t926 () (=> tptp.setadjoinAx @t924)) % 0.38/0.74 (define @t927 () (=> tptp.emptysetAx @t926)) % 0.38/0.74 (define @t928 () (=> tptp.setextAx @t927)) % 0.38/0.74 (define @t929 () (not (= @t19 @t19))) % 0.38/0.74 (define @t930 () (or @t929 @t336)) % 0.38/0.74 (define @t931 () (or @t278 @t278 @t340)) % 0.38/0.74 (define @t932 () (or @t278 @t340)) % 0.38/0.74 (define @t933 () (forall @t9 @t932)) % 0.38/0.74 (define @t934 () (forall @t70 @t933)) % 0.38/0.74 (define @t935 () (forall (@list @t19 @t4) @t932)) % 0.38/0.74 (define @t936 () (or @t278 @t272)) % 0.38/0.74 (define @t937 () (@quantifiers_skolemize @t337 0)) % 0.38/0.74 (define @t938 () (tptp.in @t937 (tptp.setadjoin @t937 tptp.emptyset))) % 0.38/0.74 (define @t939 () (tptp.in @t937 tptp.emptyset)) % 0.38/0.74 (define @t940 () (or (= @t937 @t937) @t939)) % 0.38/0.74 (define @t941 () (= @t938 @t940)) % 0.38/0.74 (assume @p1 @t14) % 0.38/0.74 (assume @p2 @t18) % 0.38/0.74 (assume @p3 @t30) % 0.38/0.74 (assume @p4 @t38) % 0.38/0.74 (assume @p5 @t48) % 0.38/0.74 (assume @p6 (= tptp.omega0Ax @t50)) % 0.38/0.74 (assume @p7 @t56) % 0.38/0.74 (assume @p8 @t66) % 0.38/0.74 (assume @p9 @t83) % 0.38/0.74 (assume @p10 @t92) % 0.38/0.74 (assume @p11 @t142) % 0.38/0.74 (assume @p12 @t152) % 0.38/0.74 (assume @p13 @t161) % 0.38/0.74 (assume @p14 @t163) % 0.38/0.74 (assume @p15 @t165) % 0.38/0.74 (assume @p16 @t171) % 0.38/0.74 (assume @p17 @t176) % 0.38/0.74 (assume @p18 @t181) % 0.38/0.74 (assume @p19 @t183) % 0.38/0.74 (assume @p20 (= tptp.notinemptyset @t17)) % 0.38/0.74 (assume @p21 @t187) % 0.38/0.74 (assume @p22 @t192) % 0.38/0.74 (assume @p23 @t198) % 0.38/0.74 (assume @p24 (= tptp.noeltsimpempty @t197)) % 0.38/0.74 (assume @p25 @t201) % 0.38/0.74 (assume @p26 @t205) % 0.38/0.74 (assume @p27 @t209) % 0.38/0.74 (assume @p28 @t212) % 0.38/0.74 (assume @p29 @t216) % 0.38/0.74 (assume @p30 (= tptp.emptyinunitempty @t218)) % 0.38/0.74 (assume @p31 @t220) % 0.38/0.74 (assume @p32 @t228) % 0.38/0.74 (assume @p33 @t231) % 0.38/0.74 (assume @p34 @t235) % 0.38/0.74 (assume @p35 @t238) % 0.38/0.74 (assume @p36 @t241) % 0.38/0.74 (assume @p37 (= tptp.emptyInPowerset @t240)) % 0.38/0.74 (assume @p38 @t244) % 0.38/0.74 (assume @p39 @t248) % 0.38/0.74 (assume @p40 @t255) % 0.38/0.74 (assume @p41 @t259) % 0.38/0.74 (assume @p42 @t265) % 0.38/0.74 (assume @p43 @t270) % 0.38/0.74 (assume @p44 @t274) % 0.38/0.74 (assume @p45 @t280) % 0.38/0.74 (assume @p46 @t327) % 0.38/0.74 (assume @p47 true) % 0.38/0.74 (step @p48 (= tptp.exu @t328) :rule refl :args (@t328)) % 0.38/0.74 (step @p49 (= tptp.prop2set @t333) :rule refl :args (@t333)) % 0.38/0.74 (step @p50 (= tptp.nonempty @t334) :rule refl :args (@t334)) % 0.38/0.74 (step @p51 :rule refl :args (@t377)) % 0.38/0.74 (step @p52 :rule refl :args ((tptp.in tptp.emptyset @t217))) % 0.38/0.74 (step @p53 :rule refl :args (@t378)) % 0.38/0.74 (step @p54 :rule refl :args (tptp.emptyset)) % 0.38/0.74 (step @p55 :rule cong :premises (@p54 @p53) :args (@t379)) % 0.38/0.74 (step @p56 :rule trans :premises (@p55 @p52)) % 0.38/0.74 (step @p57 :rule refl :args (@t49)) % 0.38/0.74 (step @p58 :rule ho_cong :premises (@p57 @p53)) % 0.38/0.74 (step @p59 :rule cong :premises (@p58 @p56) :args ((= (_ @t49 @t378) @t379))) % 0.38/0.74 (step @p60 :rule symm :premises (@p59)) % 0.38/0.74 (step @p61 :rule refl :args (@t218)) % 0.38/0.74 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.38/0.74 (step @p63 :rule refl :args (@t217)) % 0.38/0.74 (step @p64 :rule cong :premises (@p63 @p53) :args ((= @t217 @t378))) % 0.38/0.74 (step @p65 :rule symm :premises (@p64)) % 0.38/0.74 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 0.38/0.74 (step @p67 :rule refl :args (@t49)) % 0.38/0.74 (step @p68 :rule ho_cong :premises (@p67 @p66)) % 0.38/0.74 (step @p69 :rule trans :premises (@p68 @p62)) % 0.38/0.74 (step @p70 :rule cong :premises (@p69 @p51) :args (@t380)) % 0.38/0.74 (step @p71 :rule refl :args (@t383)) % 0.38/0.74 (step @p72 :rule cong :premises (@p71 @p70) :args (@t384)) % 0.38/0.74 (step @p73 :rule refl :args (@t388)) % 0.38/0.74 (step @p74 :rule cong :premises (@p73 @p72) :args (@t389)) % 0.38/0.74 (step @p75 :rule refl :args (@t393)) % 0.38/0.74 (step @p76 :rule cong :premises (@p75 @p74) :args (@t394)) % 0.38/0.74 (step @p77 :rule refl :args (@t345)) % 0.38/0.74 (step @p78 :rule cong :premises (@p77 @p76) :args (@t395)) % 0.38/0.74 (step @p79 :rule refl :args (@t397)) % 0.38/0.74 (step @p80 :rule cong :premises (@p79 @p78) :args (@t398)) % 0.38/0.74 (step @p81 :rule refl :args (@t399)) % 0.38/0.74 (step @p82 :rule cong :premises (@p81 @p80) :args (@t400)) % 0.38/0.74 (step @p83 :rule cong :premises (@p81 @p82) :args (@t401)) % 0.38/0.74 (step @p84 :rule refl :args (@t405)) % 0.38/0.74 (step @p85 :rule cong :premises (@p84 @p83) :args (@t406)) % 0.38/0.74 (step @p86 :rule refl :args (@t411)) % 0.38/0.74 (step @p87 :rule cong :premises (@p86 @p85) :args (@t412)) % 0.38/0.74 (step @p88 :rule refl :args (@t414)) % 0.38/0.74 (step @p89 :rule cong :premises (@p88 @p87) :args (@t415)) % 0.38/0.74 (step @p90 :rule cong :premises (@p88 @p89) :args (@t416)) % 0.38/0.74 (step @p91 :rule cong :premises (@p88 @p90) :args (@t417)) % 0.38/0.74 (step @p92 :rule refl :args (@t421)) % 0.38/0.74 (step @p93 :rule cong :premises (@p92 @p91) :args (@t422)) % 0.38/0.74 (step @p94 :rule refl :args (@t424)) % 0.38/0.74 (step @p95 :rule cong :premises (@p94 @p93) :args (@t425)) % 0.38/0.74 (step @p96 :rule refl :args (@t426)) % 0.38/0.74 (step @p97 :rule cong :premises (@p96 @p95) :args (@t427)) % 0.38/0.74 (step @p98 :rule refl :args (@t428)) % 0.38/0.74 (step @p99 :rule cong :premises (@p98 @p97) :args (@t429)) % 0.38/0.74 (step @p100 :rule refl :args (@t434)) % 0.38/0.74 (step @p101 :rule cong :premises (@p100 @p99) :args (@t435)) % 0.38/0.74 (step @p102 :rule refl :args (@t486)) % 0.38/0.74 (step @p103 :rule cong :premises (@p102 @p101) :args (@t487)) % 0.38/0.74 (step @p104 :rule refl :args (@t494)) % 0.38/0.74 (step @p105 :rule cong :premises (@p104 @p103) :args (@t495)) % 0.38/0.74 (step @p106 :rule refl :args (@t508)) % 0.38/0.74 (step @p107 :rule cong :premises (@p106 @p105) :args (@t509)) % 0.38/0.74 (step @p108 :rule refl :args (@t523)) % 0.38/0.74 (step @p109 :rule cong :premises (@p108 @p107) :args (@t524)) % 0.38/0.74 (step @p110 :rule refl :args (@t526)) % 0.38/0.74 (step @p111 :rule cong :premises (@p110 @p109) :args (@t527)) % 0.38/0.74 (step @p112 :rule refl :args (@t528)) % 0.38/0.74 (step @p113 :rule refl :args (@t50)) % 0.38/0.74 (step @p114 :rule cong :premises (@p113 @p112) :args ((= @t50 @t528))) % 0.38/0.74 (step @p115 :rule symm :premises (@p114)) % 0.38/0.74 (step @p116 :rule eq_resolve :premises (@p113 @p115)) % 0.38/0.74 (step @p117 :rule cong :premises (@p116 @p111) 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eq_resolve :premises (@p1687 @p1686)) % 0.38/0.74 (step @p1689 :rule ho_cong :premises (@p1658 @p1681)) % 0.38/0.74 (step @p1690 :rule trans :premises (@p1689 @p1688)) % 0.38/0.74 (step @p1691 :rule nary_cong :premises (@p1637 @p1690) :args (@t916)) % 0.38/0.74 (step @p1692 :rule cong :premises (@p1691) :args ((forall @t9 @t916))) % 0.38/0.74 (step @p1693 :rule bool-impl-elim :args (@t54 @t53)) % 0.38/0.74 (step @p1694 :rule cong :premises (@p1693) :args (@t55)) % 0.38/0.74 (step @p1695 :rule trans :premises (@p1694 @p1692)) % 0.38/0.74 (step @p1696 :rule refl :args (tptp.omegaSAx)) % 0.38/0.74 (step @p1697 :rule cong :premises (@p1696 @p1695) :args (@t56)) % 0.38/0.74 (step @p1698 :rule eq_resolve :premises (@p7 @p1697)) % 0.38/0.74 (step @p1699 :rule cong :premises (@p1698 @p1679) :args (@t917)) % 0.38/0.74 (step @p1700 :rule cong :premises (@p6 @p1699) :args (@t918)) % 0.38/0.74 (step @p1701 :rule eq-symm :args (@t362 @t361)) % 0.38/0.74 (step @p1702 :rule cong :premises (@p1701) :args ((forall @t46 (= @t362 @t361)))) % 0.38/0.74 (step @p1703 :rule cong :premises (@p386 @p376) :args (@t919)) % 0.38/0.74 (step @p1704 :rule cong :premises (@p1703) :args ((forall @t46 @t919))) % 0.38/0.74 (step @p1705 :rule trans :premises (@p1704 @p1702)) % 0.38/0.74 (step @p1706 :rule bool-and-de-morgan :args (@t6 @t39 true)) % 0.38/0.74 (step @p1707 :rule cong :premises (@p1706) :args (@t920)) % 0.38/0.74 (step @p1708 :rule trans :premises (@p1707 @p435)) % 0.38/0.74 (step @p1709 :rule cong :premises (@p1708) :args (@t921)) % 0.38/0.74 (step @p1710 :rule exists-elim :args ((= @t42 @t921))) % 0.38/0.74 (step @p1711 :rule trans :premises (@p1710 @p1709)) % 0.38/0.74 (step @p1712 :rule cong :premises (@p454 @p1711) :args (@t45)) % 0.38/0.74 (step @p1713 :rule cong :premises (@p1712) :args (@t47)) % 0.38/0.74 (step @p1714 :rule trans :premises (@p1713 @p1705)) % 0.38/0.74 (step @p1715 :rule refl :args (tptp.setunionAx)) % 0.38/0.74 (step @p1716 :rule cong :premises (@p1715 @p1714) :args (@t48)) % 0.38/0.74 (step @p1717 :rule eq_resolve :premises (@p5 @p1716)) % 0.38/0.74 (step @p1718 :rule cong :premises (@p1717 @p1700) :args (@t922)) % 0.38/0.74 (step @p1719 :rule eq-symm :args (@t364 @t367)) % 0.38/0.74 (step @p1720 :rule cong :premises (@p1719) :args ((forall @t12 (= @t364 @t367)))) % 0.38/0.74 (step @p1721 :rule refl :args (@t367)) % 0.38/0.74 (step @p1722 :rule cong :premises (@p492 @p1721) :args (@t923)) % 0.38/0.74 (step @p1723 :rule cong :premises (@p1722) :args ((forall @t12 @t923))) % 0.38/0.74 (step @p1724 :rule trans :premises (@p1723 @p1720)) % 0.38/0.74 (step @p1725 :rule cong :premises (@p538 @p542) :args (@t36)) % 0.38/0.74 (step @p1726 :rule cong :premises (@p1725) :args (@t37)) % 0.38/0.74 (step @p1727 :rule trans :premises (@p1726 @p1724)) % 0.38/0.74 (step @p1728 :rule refl :args (tptp.powersetAx)) % 0.38/0.74 (step @p1729 :rule cong :premises (@p1728 @p1727) :args (@t38)) % 0.38/0.74 (step @p1730 :rule eq_resolve :premises (@p4 @p1729)) % 0.38/0.74 (step @p1731 :rule cong :premises (@p1730 @p1718) :args (@t924)) % 0.38/0.74 (step @p1732 :rule nary_cong :premises (@p165 @p581) :args (@t643)) % 0.38/0.74 (step @p1733 :rule cong :premises (@p596 @p1732) :args (@t925)) % 0.38/0.74 (step @p1734 :rule cong :premises (@p1733) :args ((forall @t28 @t925))) % 0.38/0.74 (step @p1735 :rule cong :premises (@p607 @p606) :args (@t27)) % 0.38/0.74 (step @p1736 :rule cong :premises (@p1735) :args (@t29)) % 0.38/0.74 (step @p1737 :rule trans :premises (@p1736 @p1734)) % 0.38/0.74 (step @p1738 :rule refl :args (tptp.setadjoinAx)) % 0.38/0.74 (step @p1739 :rule cong :premises (@p1738 @p1737) :args (@t30)) % 0.38/0.74 (step @p1740 :rule eq_resolve :premises (@p3 @p1739)) % 0.38/0.74 (step @p1741 :rule cong :premises (@p1740 @p1731) :args (@t926)) % 0.38/0.74 (step @p1742 :rule refl :args (tptp.emptysetAx)) % 0.38/0.74 (step @p1743 :rule cong :premises (@p1742 @p935) :args (@t18)) % 0.38/0.74 (step @p1744 :rule eq_resolve :premises (@p2 @p1743)) % 0.38/0.74 (step @p1745 :rule cong :premises (@p1744 @p1741) :args (@t927)) % 0.38/0.74 (step @p1746 :rule bool-impl-elim :args (@t538 @t3)) % 0.38/0.74 (step @p1747 :rule cong :premises (@p1746) :args ((forall @t12 (=> @t538 @t3)))) % 0.38/0.74 (step @p1748 :rule cong :premises (@p216 @p432) :args (@t8)) % 0.38/0.74 (step @p1749 :rule cong :premises (@p1748) :args (@t10)) % 0.38/0.74 (step @p1750 :rule cong :premises (@p1749 @p872) :args (@t11)) % 0.38/0.74 (step @p1751 :rule cong :premises (@p1750) :args (@t13)) % 0.38/0.74 (step @p1752 :rule trans :premises (@p1751 @p1747)) % 0.38/0.74 (step @p1753 :rule refl :args (tptp.setextAx)) % 0.38/0.74 (step @p1754 :rule cong :premises (@p1753 @p1752) :args (@t14)) % 0.38/0.74 (step @p1755 :rule eq_resolve :premises (@p1 @p1754)) % 0.38/0.74 (step @p1756 :rule cong :premises (@p1755 @p1745) :args (@t928)) % 0.38/0.74 (step @p1757 :rule cong :premises (@p1756) :args ((not @t928))) % 0.38/0.74 (step @p1758 :rule trans :premises (@p1757 @p145)) % 0.38/0.74 (step @p1759 :rule aci_norm :args ((= (or false @t336) @t336))) % 0.38/0.74 (step @p1760 :rule refl :args (@t336)) % 0.38/0.74 (step @p1761 :rule eq-refl :args (@t19)) % 0.38/0.74 (step @p1762 :rule cong :premises (@p1761) :args (@t929)) % 0.38/0.74 (step @p1763 :rule trans :premises (@p1762 @p703)) % 0.38/0.74 (step @p1764 :rule nary_cong :premises (@p1763 @p1760) :args (@t930)) % 0.38/0.74 (step @p1765 :rule trans :premises (@p1764 @p1759)) % 0.38/0.74 (step @p1766 :rule cong :premises (@p1765) :args ((forall @t70 @t930))) % 0.38/0.74 (step @p1767 :rule quant-var-elim-eq :args ((= (forall @t9 @t931) @t930))) % 0.38/0.74 (step @p1768 :rule aci_norm :args ((= @t932 @t931))) % 0.38/0.74 (step @p1769 :rule cong :premises (@p1768) :args (@t933)) % 0.38/0.74 (step @p1770 :rule trans :premises (@p1769 @p1767)) % 0.38/0.74 (step @p1771 :rule cong :premises (@p1770) :args (@t934)) % 0.38/0.74 (step @p1772 :rule quant-merge-prenex :args ((= @t934 @t935))) % 0.38/0.74 (step @p1773 :rule symm :premises (@p1772)) % 0.38/0.74 (step @p1774 :rule quant_var_reordering :args ((= (forall @t135 @t932) @t935))) % 0.38/0.74 (step @p1775 :rule trans :premises (@p1774 @p1773 @p1771)) % 0.38/0.74 (step @p1776 :rule trans :premises (@p1775 @p1766)) % 0.38/0.74 (step @p1777 :rule refl :args (@t278)) % 0.38/0.74 (step @p1778 :rule nary_cong :premises (@p1777 @p195) :args (@t936)) % 0.38/0.74 (step @p1779 :rule cong :premises (@p1778) :args ((forall @t135 @t936))) % 0.38/0.74 (step @p1780 :rule trans :premises (@p1779 @p1776)) % 0.38/0.74 (step @p1781 :rule bool-impl-elim :args (@t129 @t272)) % 0.38/0.74 (step @p1782 :rule cong :premises (@p1781) :args (@t281)) % 0.38/0.74 (step @p1783 :rule trans :premises (@p1782 @p1780)) % 0.38/0.74 (step @p1784 :rule cong :premises (@p175 @p1783) :args (@t282)) % 0.38/0.74 (step @p1785 :rule cong :premises (@p202 @p1784) :args (@t283)) % 0.38/0.74 (step @p1786 :rule cong :premises (@p229 @p1785) :args (@t284)) % 0.38/0.74 (step @p1787 :rule cong :premises (@p315 @p1786) :args (@t285)) % 0.38/0.74 (step @p1788 :rule cong :premises (@p372 @p1787) :args (@t286)) % 0.38/0.74 (step @p1789 :rule cong :premises (@p458 @p1788) :args (@t287)) % 0.38/0.74 (step @p1790 :rule cong :premises (@p472 @p1789) :args (@t288)) % 0.38/0.74 (step @p1791 :rule cong :premises (@p505 @p1790) :args (@t289)) % 0.38/0.74 (step @p1792 :rule cong :premises (@p510 @p1791) :args (@t290)) % 0.38/0.74 (step @p1793 :rule cong :premises (@p528 @p1792) :args (@t291)) % 0.38/0.74 (step @p1794 :rule cong :premises (@p546 @p1793) :args (@t292)) % 0.38/0.74 (step @p1795 :rule cong :premises (@p573 @p1794) :args (@t293)) % 0.38/0.74 (step @p1796 :rule cong :premises (@p611 @p1795) :args (@t294)) % 0.38/0.74 (step @p1797 :rule cong :premises (@p667 @p1796) :args (@t295)) % 0.38/0.74 (step @p1798 :rule cong :premises (@p677 @p1797) :args (@t296)) % 0.38/0.74 (step @p1799 :rule refl :args (tptp.emptyinunitempty)) % 0.38/0.74 (step @p1800 :rule cong :premises (@p1799 @p1798) :args (@t297)) % 0.38/0.74 (step @p1801 :rule cong :premises (@p698 @p1800) :args (@t298)) % 0.38/0.74 (step @p1802 :rule cong :premises (@p740 @p1801) :args (@t299)) % 0.38/0.74 (step @p1803 :rule cong :premises (@p793 @p1802) :args (@t300)) % 0.38/0.74 (step @p1804 :rule cong :premises (@p807 @p1803) :args (@t301)) % 0.38/0.74 (step @p1805 :rule cong :premises (@p842 @p1804) :args (@t302)) % 0.38/0.74 (step @p1806 :rule cong :premises (@p847 @p1805) :args (@t303)) % 0.38/0.74 (step @p1807 :rule cong :premises (@p860 @p1806) :args (@t304)) % 0.38/0.74 (step @p1808 :rule cong :premises (@p882 @p1807) :args (@t305)) % 0.38/0.74 (step @p1809 :rule cong :premises (@p918 @p1808) :args (@t306)) % 0.38/0.74 (step @p1810 :rule cong :premises (@p928 @p1809) :args (@t307)) % 0.38/0.74 (step @p1811 :rule cong :premises (@p945 @p1810) :args (@t308)) % 0.38/0.74 (step @p1812 :rule cong :premises (@p960 @p1811) :args (@t309)) % 0.38/0.74 (step @p1813 :rule cong :premises (@p1037 @p1812) :args (@t310)) % 0.38/0.74 (step @p1814 :rule cong :premises (@p1061 @p1813) :args (@t311)) % 0.38/0.74 (step @p1815 :rule cong :premises (@p1082 @p1814) :args (@t312)) % 0.38/0.74 (step @p1816 :rule cong :premises (@p1095 @p1815) :args (@t313)) % 0.38/0.74 (step @p1817 :rule cong :premises (@p1112 @p1816) :args (@t314)) % 0.38/0.74 (step @p1818 :rule cong :premises (@p1180 @p1817) :args (@t315)) % 0.38/0.74 (step @p1819 :rule cong :premises (@p1451 @p1818) :args (@t316)) % 0.38/0.74 (step @p1820 :rule cong :premises (@p1496 @p1819) :args (@t317)) % 0.38/0.74 (step @p1821 :rule cong :premises (@p1589 @p1820) :args (@t318)) % 0.38/0.74 (step @p1822 :rule cong :premises (@p1676 @p1821) :args (@t319)) % 0.38/0.74 (step @p1823 :rule cong :premises (@p1696 @p1822) :args (@t320)) % 0.38/0.74 (step @p1824 :rule refl :args (tptp.omega0Ax)) % 0.38/0.74 (step @p1825 :rule cong :premises (@p1824 @p1823) :args (@t321)) % 0.38/0.74 (step @p1826 :rule cong :premises (@p1715 @p1825) :args (@t322)) % 0.38/0.74 (step @p1827 :rule cong :premises (@p1728 @p1826) :args (@t323)) % 0.38/0.74 (step @p1828 :rule cong :premises (@p1738 @p1827) :args (@t324)) % 0.38/0.74 (step @p1829 :rule cong :premises (@p1742 @p1828) :args (@t325)) % 0.38/0.74 (step @p1830 :rule cong :premises (@p1753 @p1829) :args (@t326)) % 0.38/0.74 (step @p1831 :rule cong :premises (@p1830) :args (@t327)) % 0.38/0.74 (step @p1832 :rule trans :premises (@p1831 @p1758 @p127)) % 0.38/0.74 (step @p1833 :rule eq_resolve :premises (@p46 @p1832)) % 0.38/0.74 (step @p1834 :rule not_implies_elim2 :premises (@p1833)) % 0.38/0.74 (step @p1835 :rule not_implies_elim2 :premises (@p1834)) % 0.38/0.74 (step @p1836 :rule not_implies_elim1 :premises (@p1835)) % 0.38/0.74 (step @p1837 :rule not_implies_elim2 :premises (@p1835)) % 0.38/0.74 (step @p1838 :rule not_implies_elim2 :premises (@p1837)) % 0.38/0.74 (step @p1839 :rule not_implies_elim2 :premises (@p1838)) % 0.38/0.74 (step @p1840 :rule not_implies_elim2 :premises (@p1839)) % 0.38/0.74 (step @p1841 :rule not_implies_elim2 :premises (@p1840)) % 0.38/0.74 (step @p1842 :rule not_implies_elim2 :premises (@p1841)) % 0.38/0.74 (step @p1843 :rule not_implies_elim2 :premises (@p1842)) % 0.38/0.74 (step @p1844 :rule not_implies_elim2 :premises (@p1843)) % 0.38/0.74 (step @p1845 :rule not_implies_elim2 :premises (@p1844)) % 0.38/0.74 (step @p1846 :rule not_implies_elim2 :premises (@p1845)) % 0.38/0.74 (step @p1847 :rule not_implies_elim2 :premises (@p1846)) % 0.38/0.74 (step @p1848 :rule not_implies_elim2 :premises (@p1847)) % 0.38/0.74 (step @p1849 :rule not_implies_elim2 :premises (@p1848)) % 0.38/0.74 (step @p1850 :rule not_implies_elim2 :premises (@p1849)) % 0.38/0.74 (step @p1851 :rule not_implies_elim2 :premises (@p1850)) % 0.38/0.74 (step @p1852 :rule not_implies_elim2 :premises (@p1851)) % 0.38/0.74 (step @p1853 :rule not_implies_elim2 :premises (@p1852)) % 0.38/0.74 (step @p1854 :rule not_implies_elim2 :premises (@p1853)) % 0.38/0.74 (step @p1855 :rule not_implies_elim2 :premises (@p1854)) % 0.38/0.74 (step @p1856 :rule not_implies_elim2 :premises (@p1855)) % 0.38/0.74 (step @p1857 :rule not_implies_elim2 :premises (@p1856)) % 0.38/0.74 (step @p1858 :rule not_implies_elim2 :premises (@p1857)) % 0.38/0.74 (step @p1859 :rule not_implies_elim2 :premises (@p1858)) % 0.38/0.74 (step @p1860 :rule not_implies_elim2 :premises (@p1859)) % 0.38/0.74 (step @p1861 :rule not_implies_elim2 :premises (@p1860)) % 0.38/0.74 (step @p1862 :rule not_implies_elim2 :premises (@p1861)) % 0.38/0.74 (step @p1863 :rule not_implies_elim2 :premises (@p1862)) % 0.38/0.74 (step @p1864 :rule not_implies_elim2 :premises (@p1863)) % 0.38/0.74 (step @p1865 :rule not_implies_elim2 :premises (@p1864)) % 0.38/0.74 (step @p1866 :rule not_implies_elim2 :premises (@p1865)) % 0.38/0.74 (step @p1867 :rule not_implies_elim2 :premises (@p1866)) % 0.38/0.74 (step @p1868 :rule not_implies_elim2 :premises (@p1867)) % 0.38/0.74 (step @p1869 :rule not_implies_elim2 :premises (@p1868)) % 0.38/0.74 (step @p1870 :rule not_implies_elim2 :premises (@p1869)) % 0.38/0.74 (step @p1871 :rule not_implies_elim2 :premises (@p1870)) % 0.38/0.74 (step @p1872 :rule not_implies_elim2 :premises (@p1871)) % 0.38/0.74 (step @p1873 :rule not_implies_elim2 :premises (@p1872)) % 0.38/0.74 (step @p1874 :rule not_implies_elim2 :premises (@p1873)) % 0.38/0.74 (step @p1875 :rule not_implies_elim2 :premises (@p1874)) % 0.38/0.74 (step @p1876 :rule not_implies_elim2 :premises (@p1875)) % 0.38/0.74 (step @p1877 :rule not_implies_elim2 :premises (@p1876)) % 0.38/0.74 (step @p1878 :rule not_implies_elim2 :premises (@p1877)) % 0.38/0.74 (step @p1879 :rule skolemize :premises (@p1878)) % 0.38/0.74 (step @p1880 :rule bool-eq-true :args (@t938)) % 0.38/0.74 (step @p1881 :rule absorb :args ((= (or true @t939) true))) % 0.38/0.74 (step @p1882 :rule refl :args (@t939)) % 0.38/0.74 (step @p1883 :rule eq-refl :args (@t937)) % 0.38/0.74 (step @p1884 :rule nary_cong :premises (@p1883 @p1882) :args (@t940)) % 0.38/0.74 (step @p1885 :rule trans :premises (@p1884 @p1881)) % 0.38/0.74 (step @p1886 :rule refl :args (@t938)) % 0.38/0.74 (step @p1887 :rule cong :premises (@p1886 @p1885) :args (@t941)) % 0.38/0.74 (step @p1888 :rule trans :premises (@p1887 @p1880)) % 0.38/0.74 (step @p1889 :rule cong :premises (@p122 @p1888) :args ((=> @t535 @t941))) % 0.38/0.74 (assume-push @p1897 @t535) % 0.38/0.74 (step @p1891 :rule instantiate :premises (@p1836) :args ((@list @t937 tptp.emptyset @t937))) % 0.38/0.74 (step-pop @p1898 :rule scope :premises (@p1891)) % 0.38/0.74 (step @p1892 :rule process_scope :premises (@p1898) :args (@t941)) % 0.38/0.74 (step @p1894 :rule eq_resolve :premises (@p1892 @p1889)) % 0.38/0.74 (step @p1895 :rule implies_elim :premises (@p1894)) % 0.38/0.74 (step @p1896 false :rule chain_m_resolution :premises (@p1895 @p1879 @p1836) :args (false (@list true false) (@list @t938 @t535))) % 0.38/0.74 ) % 0.38/0.74 % SZS output end Proof % 0.38/0.74 % cvc5 exiting %------------------------------------------------------------------------------