%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU524^1 : 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 : n028.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 08:52:03 AM UTC 2026 % Result : Theorem 0.35s 0.74s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU524^1 : 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 : n028.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 17:40:50 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.52 %----Proving TH0 % 0.35/0.74 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.35/0.74 % SZS status Theorem % 0.35/0.74 % SZS output start Proof % 0.35/0.74 ( % 0.35/0.74 (declare-sort $$unsorted 0) % 0.35/0.74 (declare-const tptp.emptyset $$unsorted) % 0.35/0.74 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.35/0.74 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.35/0.74 (declare-const tptp.setunionE Bool) % 0.35/0.74 (declare-const tptp.setunionI Bool) % 0.35/0.74 (declare-const tptp.powersetE Bool) % 0.35/0.74 (declare-const tptp.emptyInPowerset Bool) % 0.35/0.74 (declare-const tptp.setoftrueEq Bool) % 0.35/0.74 (declare-const tptp.setadjoinOr Bool) % 0.35/0.74 (declare-const tptp.setadjoinE Bool) % 0.35/0.74 (declare-const tptp.emptyinunitempty Bool) % 0.35/0.74 (declare-const tptp.nonemptyI1 Bool) % 0.35/0.74 (declare-const tptp.nonemptyI Bool) % 0.35/0.74 (declare-const tptp.nonemptyE1 Bool) % 0.35/0.74 (declare-const tptp.noeltsimpempty Bool) % 0.35/0.74 (declare-const tptp.emptyI Bool) % 0.35/0.74 (declare-const tptp.omegaIndAx Bool) % 0.35/0.74 (declare-const tptp.omega0Ax Bool) % 0.35/0.74 (declare-const tptp.setadjoinIL Bool) % 0.35/0.74 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.35/0.74 (declare-const tptp.powersetAx Bool) % 0.35/0.74 (declare-const tptp.omegaSAx Bool) % 0.35/0.74 (declare-const tptp.setext Bool) % 0.35/0.74 (declare-const tptp.setadjoinAx Bool) % 0.35/0.74 (declare-const tptp.powersetI Bool) % 0.35/0.74 (declare-const tptp.setbeta Bool) % 0.35/0.74 (declare-const tptp.dsetconstrER Bool) % 0.35/0.74 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.74 (declare-const tptp.setadjoinIR Bool) % 0.35/0.74 (declare-const tptp.notinemptyset Bool) % 0.35/0.74 (declare-const tptp.foundationAx Bool) % 0.35/0.74 (declare-const tptp.setextAx Bool) % 0.35/0.74 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.emptysetAx Bool) % 0.35/0.74 (declare-const tptp.dsetconstrEL Bool) % 0.35/0.74 (declare-const tptp.replAx Bool) % 0.35/0.74 (declare-const tptp.emptysetimpfalse Bool) % 0.35/0.74 (declare-const tptp.wellorderingAx Bool) % 0.35/0.74 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.35/0.74 (declare-const tptp.emptyinPowerset Bool) % 0.35/0.74 (declare-const tptp.exuE1 Bool) % 0.35/0.74 (declare-const tptp.descrp Bool) % 0.35/0.74 (declare-const tptp.dsetconstrI Bool) % 0.35/0.74 (declare-const tptp.omega $$unsorted) % 0.35/0.74 (declare-const tptp.exuE3e Bool) % 0.35/0.74 (declare-const tptp.prop2setE Bool) % 0.35/0.74 (declare-const tptp.setunionAx Bool) % 0.35/0.74 (declare-const tptp.emptysetE Bool) % 0.35/0.74 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.35/0.74 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.35/0.74 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.35/0.74 (define @t1 () (@var "B" $$unsorted)) % 0.35/0.74 (define @t2 () (@var "A" $$unsorted)) % 0.35/0.74 (define @t3 () (= @t2 @t1)) % 0.35/0.74 (define @t4 () (@var "Xx" $$unsorted)) % 0.35/0.74 (define @t5 () (_ tptp.in @t4)) % 0.35/0.74 (define @t6 () (_ @t5 @t1)) % 0.35/0.74 (define @t7 () (_ @t5 @t2)) % 0.35/0.74 (define @t8 () (= @t7 @t6)) % 0.35/0.74 (define @t9 () (@list @t4)) % 0.35/0.74 (define @t10 () (forall @t9 @t8)) % 0.35/0.74 (define @t11 () (=> @t10 @t3)) % 0.35/0.74 (define @t12 () (@list @t2 @t1)) % 0.35/0.74 (define @t13 () (forall @t12 @t11)) % 0.35/0.74 (define @t14 () (= tptp.setextAx @t13)) % 0.35/0.74 (define @t15 () (_ @t5 tptp.emptyset)) % 0.35/0.74 (define @t16 () (not @t15)) % 0.35/0.74 (define @t17 () (forall @t9 @t16)) % 0.35/0.74 (define @t18 () (= tptp.emptysetAx @t17)) % 0.35/0.74 (define @t19 () (@var "Xy" $$unsorted)) % 0.35/0.74 (define @t20 () (_ tptp.in @t19)) % 0.35/0.74 (define @t21 () (_ @t20 @t2)) % 0.35/0.74 (define @t22 () (= @t19 @t4)) % 0.35/0.74 (define @t23 () (or @t22 @t21)) % 0.35/0.74 (define @t24 () (_ tptp.setadjoin @t4)) % 0.35/0.74 (define @t25 () (_ @t24 @t2)) % 0.35/0.74 (define @t26 () (_ @t20 @t25)) % 0.35/0.74 (define @t27 () (= @t26 @t23)) % 0.35/0.74 (define @t28 () (@list @t4 @t2 @t19)) % 0.35/0.74 (define @t29 () (forall @t28 @t27)) % 0.35/0.74 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.35/0.74 (define @t31 () (=> @t6 @t7)) % 0.35/0.74 (define @t32 () (forall @t9 @t31)) % 0.35/0.74 (define @t33 () (_ tptp.powerset @t2)) % 0.35/0.74 (define @t34 () (_ tptp.in @t1)) % 0.35/0.74 (define @t35 () (_ @t34 @t33)) % 0.35/0.74 (define @t36 () (= @t35 @t32)) % 0.35/0.74 (define @t37 () (forall @t12 @t36)) % 0.35/0.74 (define @t38 () (= tptp.powersetAx @t37)) % 0.35/0.74 (define @t39 () (_ @t34 @t2)) % 0.35/0.74 (define @t40 () (and @t6 @t39)) % 0.35/0.74 (define @t41 () (@list @t1)) % 0.35/0.74 (define @t42 () (exists @t41 @t40)) % 0.35/0.74 (define @t43 () (_ tptp.setunion @t2)) % 0.35/0.74 (define @t44 () (_ @t5 @t43)) % 0.35/0.74 (define @t45 () (= @t44 @t42)) % 0.35/0.74 (define @t46 () (@list @t2 @t4)) % 0.35/0.74 (define @t47 () (forall @t46 @t45)) % 0.35/0.74 (define @t48 () (= tptp.setunionAx @t47)) % 0.35/0.74 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.35/0.74 (define @t50 () (_ @t49 tptp.omega)) % 0.35/0.74 (define @t51 () (_ @t24 @t4)) % 0.35/0.74 (define @t52 () (_ tptp.in @t51)) % 0.35/0.74 (define @t53 () (_ @t52 tptp.omega)) % 0.35/0.74 (define @t54 () (_ @t5 tptp.omega)) % 0.35/0.74 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.35/0.74 (define @t56 () (= tptp.omegaSAx @t55)) % 0.35/0.74 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.35/0.74 (define @t58 () (_ @t52 @t2)) % 0.35/0.74 (define @t59 () (and @t54 @t7)) % 0.35/0.74 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.35/0.74 (define @t61 () (_ @t49 @t2)) % 0.35/0.74 (define @t62 () (and @t61 @t60)) % 0.35/0.74 (define @t63 () (=> @t62 @t57)) % 0.35/0.74 (define @t64 () (@list @t2)) % 0.35/0.74 (define @t65 () (forall @t64 @t63)) % 0.35/0.74 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.35/0.74 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.35/0.74 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.35/0.74 (define @t69 () (and @t21 @t68)) % 0.35/0.74 (define @t70 () (@list @t19)) % 0.35/0.74 (define @t71 () (exists @t70 @t69)) % 0.35/0.74 (define @t72 () (= @t6 @t71)) % 0.35/0.74 (define @t73 () (forall @t9 @t72)) % 0.35/0.74 (define @t74 () (exists @t41 @t73)) % 0.35/0.74 (define @t75 () (_ @t67 @t4)) % 0.35/0.74 (define @t76 () (_ @t75 @t19)) % 0.35/0.74 (define @t77 () (lambda @t70 @t76)) % 0.35/0.74 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.35/0.74 (define @t79 () (forall @t9 @t78)) % 0.35/0.74 (define @t80 () (=> @t79 @t74)) % 0.35/0.74 (define @t81 () (@list @t67 @t2)) % 0.35/0.74 (define @t82 () (forall @t81 @t80)) % 0.35/0.74 (define @t83 () (= tptp.replAx @t82)) % 0.35/0.74 (define @t84 () (and @t6 @t7)) % 0.35/0.74 (define @t85 () (exists @t9 @t84)) % 0.35/0.74 (define @t86 () (not @t85)) % 0.35/0.74 (define @t87 () (and @t39 @t86)) % 0.35/0.74 (define @t88 () (exists @t41 @t87)) % 0.35/0.74 (define @t89 () (exists @t9 @t7)) % 0.35/0.74 (define @t90 () (=> @t89 @t88)) % 0.35/0.74 (define @t91 () (forall @t64 @t90)) % 0.35/0.74 (define @t92 () (= tptp.foundationAx @t91)) % 0.35/0.74 (define @t93 () (@var "E" $$unsorted)) % 0.35/0.74 (define @t94 () (_ @t5 @t93)) % 0.35/0.74 (define @t95 () (@var "D" $$unsorted)) % 0.35/0.74 (define @t96 () (_ @t20 @t95)) % 0.35/0.74 (define @t97 () (_ @t20 @t93)) % 0.35/0.74 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.35/0.74 (define @t99 () (or @t98 @t94)) % 0.35/0.74 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.35/0.74 (define @t101 () (=> @t100 @t99)) % 0.35/0.74 (define @t102 () (@list @t93)) % 0.35/0.74 (define @t103 () (forall @t102 @t101)) % 0.35/0.74 (define @t104 () (@var "C" $$unsorted)) % 0.35/0.74 (define @t105 () (_ @t20 @t104)) % 0.35/0.74 (define @t106 () (and @t96 @t105)) % 0.35/0.74 (define @t107 () (exists @t70 @t106)) % 0.35/0.74 (define @t108 () (not @t107)) % 0.35/0.74 (define @t109 () (_ @t5 @t104)) % 0.35/0.74 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.35/0.74 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.35/0.74 (define @t112 () (@list @t95 @t4)) % 0.35/0.74 (define @t113 () (exists @t112 @t111)) % 0.35/0.74 (define @t114 () (exists @t9 @t109)) % 0.35/0.74 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.35/0.74 (define @t116 () (and @t115 @t114)) % 0.35/0.74 (define @t117 () (=> @t116 @t113)) % 0.35/0.74 (define @t118 () (@list @t104)) % 0.35/0.74 (define @t119 () (forall @t118 @t117)) % 0.35/0.74 (define @t120 () (_ @t5 @t95)) % 0.35/0.74 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.35/0.74 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.35/0.74 (define @t123 () (or @t122 @t121)) % 0.35/0.74 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.35/0.74 (define @t125 () (and @t124 @t110)) % 0.35/0.74 (define @t126 () (=> @t125 @t123)) % 0.35/0.74 (define @t127 () (@list @t104 @t95)) % 0.35/0.74 (define @t128 () (forall @t127 @t126)) % 0.35/0.74 (define @t129 () (= @t4 @t19)) % 0.35/0.74 (define @t130 () (= @t109 @t105)) % 0.35/0.74 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.35/0.74 (define @t132 () (=> @t131 @t129)) % 0.35/0.74 (define @t133 () (and @t7 @t21)) % 0.35/0.74 (define @t134 () (=> @t133 @t132)) % 0.35/0.74 (define @t135 () (@list @t4 @t19)) % 0.35/0.74 (define @t136 () (forall @t135 @t134)) % 0.35/0.74 (define @t137 () (=> @t124 @t115)) % 0.35/0.74 (define @t138 () (forall @t118 @t137)) % 0.35/0.74 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.35/0.74 (define @t140 () (exists @t41 @t139)) % 0.35/0.74 (define @t141 () (forall @t64 @t140)) % 0.35/0.74 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.35/0.74 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.35/0.74 (define @t144 () (_ @t143 @t4)) % 0.35/0.74 (define @t145 () (lambda @t9 @t144)) % 0.35/0.74 (define @t146 () (_ tptp.descr @t145)) % 0.35/0.74 (define @t147 () (_ @t143 @t146)) % 0.35/0.74 (define @t148 () (_ tptp.exu @t145)) % 0.35/0.74 (define @t149 () (=> @t148 @t147)) % 0.35/0.74 (define @t150 () (@list @t143)) % 0.35/0.74 (define @t151 () (forall @t150 @t149)) % 0.35/0.74 (define @t152 () (= tptp.descrp @t151)) % 0.35/0.74 (define @t153 () (_ @t143 @t19)) % 0.35/0.74 (define @t154 () (lambda @t70 @t153)) % 0.35/0.74 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.35/0.74 (define @t156 () (_ @t155 @t154)) % 0.35/0.74 (define @t157 () (_ @t5 @t156)) % 0.35/0.74 (define @t158 () (=> @t144 @t157)) % 0.35/0.74 (define @t159 () (@list @t2 @t143 @t4)) % 0.35/0.74 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.35/0.74 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.35/0.74 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.35/0.74 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.35/0.74 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.35/0.74 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.35/0.74 (define @t166 () (forall @t70 (=> @t153 @t129))) % 0.35/0.74 (define @t167 () (and @t144 @t166)) % 0.35/0.74 (define @t168 () (exists @t9 @t167)) % 0.35/0.74 (define @t169 () (=> @t148 @t168)) % 0.35/0.74 (define @t170 () (forall @t150 @t169)) % 0.35/0.74 (define @t171 () (= tptp.exuE1 @t170)) % 0.35/0.74 (define @t172 () (@var "Xphi" Bool)) % 0.35/0.74 (define @t173 () (=> (_ @t5 (_ tptp.prop2set @t172)) @t172)) % 0.35/0.74 (define @t174 () (@list @t172 @t4)) % 0.35/0.74 (define @t175 () (forall @t174 @t173)) % 0.35/0.74 (define @t176 () (= tptp.prop2setE @t175)) % 0.35/0.74 (define @t177 () (@list @t172)) % 0.35/0.74 (define @t178 () (forall @t177 @t172)) % 0.35/0.74 (define @t179 () (=> @t15 @t178)) % 0.35/0.74 (define @t180 () (forall @t9 @t179)) % 0.35/0.74 (define @t181 () (= tptp.emptysetE @t180)) % 0.35/0.74 (define @t182 () (forall @t9 (=> @t15 false))) % 0.35/0.74 (define @t183 () (= tptp.emptysetimpfalse @t182)) % 0.35/0.74 (define @t184 () (exists @t9 @t144)) % 0.35/0.74 (define @t185 () (=> @t148 @t184)) % 0.35/0.74 (define @t186 () (forall @t150 @t185)) % 0.35/0.74 (define @t187 () (= tptp.exuE3e @t186)) % 0.35/0.74 (define @t188 () (=> @t32 @t3)) % 0.35/0.74 (define @t189 () (forall @t9 (=> @t7 @t6))) % 0.35/0.74 (define @t190 () (=> @t189 @t188)) % 0.35/0.74 (define @t191 () (forall @t12 @t190)) % 0.35/0.74 (define @t192 () (= tptp.setext @t191)) % 0.35/0.74 (define @t193 () (= @t2 tptp.emptyset)) % 0.35/0.74 (define @t194 () (not @t7)) % 0.35/0.74 (define @t195 () (forall @t9 @t194)) % 0.35/0.74 (define @t196 () (=> @t195 @t193)) % 0.35/0.74 (define @t197 () (forall @t64 @t196)) % 0.35/0.74 (define @t198 () (= tptp.emptyI @t197)) % 0.35/0.74 (define @t199 () (=> @t7 (= @t157 @t144))) % 0.35/0.74 (define @t200 () (forall @t159 @t199)) % 0.35/0.74 (define @t201 () (= tptp.setbeta @t200)) % 0.35/0.74 (define @t202 () (_ tptp.nonempty @t2)) % 0.35/0.74 (define @t203 () (=> @t202 @t89)) % 0.35/0.74 (define @t204 () (forall @t64 @t203)) % 0.35/0.74 (define @t205 () (= tptp.nonemptyE1 @t204)) % 0.35/0.74 (define @t206 () (=> @t144 (_ tptp.nonempty @t156))) % 0.35/0.74 (define @t207 () (=> @t7 @t206)) % 0.35/0.74 (define @t208 () (forall @t159 @t207)) % 0.35/0.74 (define @t209 () (= tptp.nonemptyI @t208)) % 0.35/0.74 (define @t210 () (=> @t89 @t202)) % 0.35/0.74 (define @t211 () (forall @t64 @t210)) % 0.35/0.74 (define @t212 () (= tptp.nonemptyI1 @t211)) % 0.35/0.74 (define @t213 () (_ @t24 @t19)) % 0.35/0.74 (define @t214 () (_ @t5 @t213)) % 0.35/0.74 (define @t215 () (forall @t135 @t214)) % 0.35/0.74 (define @t216 () (= tptp.setadjoinIL @t215)) % 0.35/0.74 (define @t217 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.35/0.74 (define @t218 () (_ @t49 @t217)) % 0.35/0.74 (define @t219 () (forall @t28 (=> @t21 @t26))) % 0.35/0.74 (define @t220 () (= tptp.setadjoinIR @t219)) % 0.35/0.74 (define @t221 () (=> @t21 @t172)) % 0.35/0.74 (define @t222 () (=> @t221 @t172)) % 0.35/0.74 (define @t223 () (=> @t22 @t172)) % 0.35/0.74 (define @t224 () (=> @t223 @t222)) % 0.35/0.74 (define @t225 () (forall @t177 @t224)) % 0.35/0.74 (define @t226 () (=> @t26 @t225)) % 0.35/0.74 (define @t227 () (forall @t28 @t226)) % 0.35/0.74 (define @t228 () (= tptp.setadjoinE @t227)) % 0.35/0.74 (define @t229 () (=> @t26 @t23)) % 0.35/0.74 (define @t230 () (forall @t28 @t229)) % 0.35/0.74 (define @t231 () (= tptp.setadjoinOr @t230)) % 0.35/0.74 (define @t232 () (lambda @t9 true)) % 0.35/0.74 (define @t233 () (= (_ @t155 @t232) @t2)) % 0.35/0.74 (define @t234 () (forall @t64 @t233)) % 0.35/0.74 (define @t235 () (= tptp.setoftrueEq @t234)) % 0.35/0.74 (define @t236 () (=> @t32 @t35)) % 0.35/0.74 (define @t237 () (forall @t12 @t236)) % 0.35/0.74 (define @t238 () (= tptp.powersetI @t237)) % 0.35/0.74 (define @t239 () (_ @t49 @t33)) % 0.35/0.74 (define @t240 () (forall @t64 @t239)) % 0.35/0.74 (define @t241 () (= tptp.emptyinPowerset @t240)) % 0.35/0.74 (define @t242 () (@list @t2 @t1 @t4)) % 0.35/0.74 (define @t243 () (forall @t242 (=> @t35 @t31))) % 0.35/0.74 (define @t244 () (= tptp.powersetE @t243)) % 0.35/0.74 (define @t245 () (=> @t39 @t44)) % 0.35/0.74 (define @t246 () (@list @t2 @t4 @t1)) % 0.35/0.74 (define @t247 () (forall @t246 (=> @t6 @t245))) % 0.35/0.74 (define @t248 () (= tptp.setunionI @t247)) % 0.35/0.74 (define @t249 () (=> @t39 @t172)) % 0.35/0.74 (define @t250 () (forall @t41 (=> @t6 @t249))) % 0.35/0.74 (define @t251 () (=> @t250 @t172)) % 0.35/0.74 (define @t252 () (forall @t177 @t251)) % 0.35/0.74 (define @t253 () (=> @t44 @t252)) % 0.35/0.74 (define @t254 () (forall @t46 @t253)) % 0.35/0.74 (define @t255 () (= tptp.setunionE @t254)) % 0.35/0.74 (define @t256 () (_ tptp.powerset @t43)) % 0.35/0.74 (define @t257 () (_ @t5 @t256)) % 0.35/0.74 (define @t258 () (forall @t46 (=> @t7 @t257))) % 0.35/0.74 (define @t259 () (=> tptp.setunionE @t258)) % 0.35/0.74 (define @t260 () (=> tptp.setunionI @t259)) % 0.35/0.74 (define @t261 () (=> tptp.powersetE @t260)) % 0.35/0.74 (define @t262 () (=> tptp.emptyInPowerset @t261)) % 0.35/0.74 (define @t263 () (=> tptp.emptyinPowerset @t262)) % 0.35/0.74 (define @t264 () (=> tptp.powersetI @t263)) % 0.35/0.74 (define @t265 () (=> tptp.setoftrueEq @t264)) % 0.35/0.74 (define @t266 () (=> tptp.setadjoinOr @t265)) % 0.35/0.74 (define @t267 () (=> tptp.setadjoinE @t266)) % 0.35/0.74 (define @t268 () (=> tptp.setadjoinIR @t267)) % 0.35/0.74 (define @t269 () (=> tptp.emptyinunitempty @t268)) % 0.35/0.74 (define @t270 () (=> tptp.setadjoinIL @t269)) % 0.35/0.74 (define @t271 () (=> tptp.nonemptyI1 @t270)) % 0.35/0.74 (define @t272 () (=> tptp.nonemptyI @t271)) % 0.35/0.74 (define @t273 () (=> tptp.nonemptyE1 @t272)) % 0.35/0.74 (define @t274 () (=> tptp.setbeta @t273)) % 0.35/0.74 (define @t275 () (=> tptp.noeltsimpempty @t274)) % 0.35/0.74 (define @t276 () (=> tptp.emptyI @t275)) % 0.35/0.74 (define @t277 () (=> tptp.setext @t276)) % 0.35/0.74 (define @t278 () (=> tptp.exuE3e @t277)) % 0.35/0.74 (define @t279 () (=> tptp.notinemptyset @t278)) % 0.35/0.74 (define @t280 () (=> tptp.emptysetimpfalse @t279)) % 0.35/0.74 (define @t281 () (=> tptp.emptysetE @t280)) % 0.35/0.74 (define @t282 () (=> tptp.prop2setE @t281)) % 0.35/0.74 (define @t283 () (=> tptp.exuE1 @t282)) % 0.35/0.74 (define @t284 () (=> tptp.dsetconstrER @t283)) % 0.35/0.74 (define @t285 () (=> tptp.dsetconstrEL @t284)) % 0.35/0.74 (define @t286 () (=> tptp.dsetconstrI @t285)) % 0.35/0.74 (define @t287 () (=> tptp.descrp @t286)) % 0.35/0.74 (define @t288 () (=> tptp.wellorderingAx @t287)) % 0.35/0.74 (define @t289 () (=> tptp.foundationAx @t288)) % 0.35/0.74 (define @t290 () (=> tptp.replAx @t289)) % 0.35/0.74 (define @t291 () (=> tptp.omegaIndAx @t290)) % 0.35/0.74 (define @t292 () (=> tptp.omegaSAx @t291)) % 0.35/0.74 (define @t293 () (=> tptp.omega0Ax @t292)) % 0.35/0.74 (define @t294 () (=> tptp.setunionAx @t293)) % 0.35/0.74 (define @t295 () (=> tptp.powersetAx @t294)) % 0.35/0.74 (define @t296 () (=> tptp.setadjoinAx @t295)) % 0.35/0.74 (define @t297 () (=> tptp.emptysetAx @t296)) % 0.35/0.74 (define @t298 () (=> tptp.setextAx @t297)) % 0.35/0.74 (define @t299 () (not @t298)) % 0.35/0.74 (define @t300 () (lambda @t150 @t168)) % 0.35/0.74 (define @t301 () (lambda @t9 @t172)) % 0.35/0.74 (define @t302 () (_ tptp.powerset tptp.emptyset)) % 0.35/0.74 (define @t303 () (_ tptp.dsetconstr @t302)) % 0.35/0.74 (define @t304 () (_ @t303 @t301)) % 0.35/0.74 (define @t305 () (lambda @t177 @t304)) % 0.35/0.74 (define @t306 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.35/0.74 (define @t307 () (tptp.setunion @t2)) % 0.35/0.74 (define @t308 () (tptp.powerset @t307)) % 0.35/0.74 (define @t309 () (tptp.in @t4 @t308)) % 0.35/0.74 (define @t310 () (tptp.in @t4 @t2)) % 0.35/0.74 (define @t311 () (not @t310)) % 0.35/0.74 (define @t312 () (forall @t46 (or @t311 @t309))) % 0.35/0.74 (define @t313 () (tptp.in @t1 @t2)) % 0.35/0.74 (define @t314 () (not @t313)) % 0.35/0.74 (define @t315 () (tptp.in @t4 @t1)) % 0.35/0.74 (define @t316 () (not @t315)) % 0.35/0.74 (define @t317 () (forall @t41 (or @t316 @t314))) % 0.35/0.74 (define @t318 () (not @t317)) % 0.35/0.74 (define @t319 () (tptp.in @t4 @t307)) % 0.35/0.74 (define @t320 () (forall @t246 (or @t316 @t314 @t319))) % 0.35/0.74 (define @t321 () (tptp.powerset @t2)) % 0.35/0.74 (define @t322 () (tptp.in @t1 @t321)) % 0.35/0.74 (define @t323 () (tptp.in tptp.emptyset @t321)) % 0.35/0.74 (define @t324 () (forall @t64 @t323)) % 0.35/0.74 (define @t325 () (forall @t9 (or @t316 @t310))) % 0.35/0.74 (define @t326 () (not @t325)) % 0.35/0.74 (define @t327 () (@var "BOUND_VARIABLE_16172" $$unsorted)) % 0.35/0.74 (define @t328 () (lambda (@list @t327) true)) % 0.35/0.74 (define @t329 () (tptp.dsetconstr @t2 @t328)) % 0.35/0.74 (define @t330 () (tptp.in @t19 @t2)) % 0.35/0.74 (define @t331 () (tptp.setadjoin @t4 @t2)) % 0.35/0.74 (define @t332 () (tptp.in @t19 @t331)) % 0.35/0.74 (define @t333 () (forall @t28 (or (not @t332) @t129 @t330))) % 0.35/0.74 (define @t334 () (not @t330)) % 0.35/0.74 (define @t335 () (=> (forall @t28 (or @t334 @t332)) (=> @t333 (=> @t333 (=> (forall @t64 (= @t2 @t329)) (=> (forall @t12 (or @t326 @t322)) (=> @t324 (=> @t324 (=> (forall @t242 (or (not @t322) @t316 @t310)) (=> @t320 (=> (forall @t46 (or (not @t319) @t318)) @t312))))))))))) % 0.35/0.74 (define @t336 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.35/0.74 (define @t337 () (tptp.in tptp.emptyset @t336)) % 0.35/0.74 (define @t338 () (=> @t218 @t335)) % 0.35/0.74 (define @t339 () (tptp.setadjoin @t4 @t19)) % 0.35/0.74 (define @t340 () (tptp.in @t4 @t339)) % 0.35/0.74 (define @t341 () (forall @t135 @t340)) % 0.35/0.74 (define @t342 () (=> @t341 @t338)) % 0.35/0.74 (define @t343 () (@var "BOUND_VARIABLE_8522" $$unsorted)) % 0.35/0.74 (define @t344 () (not (tptp.in @t343 tptp.emptyset))) % 0.35/0.74 (define @t345 () (@list @t343)) % 0.35/0.74 (define @t346 () (forall @t345 @t344)) % 0.35/0.74 (define @t347 () (=> @t346 @t342)) % 0.35/0.74 (define @t348 () (tptp.dsetconstr @t2 @t143)) % 0.35/0.74 (define @t349 () (_ @t143 @t4)) % 0.35/0.74 (define @t350 () (not @t349)) % 0.35/0.74 (define @t351 () (forall @t159 (or @t311 @t350 (not (= tptp.emptyset @t348))))) % 0.35/0.74 (define @t352 () (=> @t351 @t347)) % 0.35/0.74 (define @t353 () (forall @t9 @t311)) % 0.35/0.74 (define @t354 () (not @t353)) % 0.35/0.74 (define @t355 () (forall @t64 (or @t193 @t354))) % 0.35/0.74 (define @t356 () (=> @t355 @t352)) % 0.35/0.74 (define @t357 () (tptp.in @t4 @t348)) % 0.35/0.74 (define @t358 () (forall @t159 (or @t311 (= @t349 @t357)))) % 0.35/0.74 (define @t359 () (=> @t358 @t356)) % 0.35/0.74 (define @t360 () (forall @t64 (or @t354 @t193))) % 0.35/0.74 (define @t361 () (=> @t360 @t359)) % 0.35/0.74 (define @t362 () (=> @t360 @t361)) % 0.35/0.74 (define @t363 () (forall @t9 (or @t311 @t315))) % 0.35/0.74 (define @t364 () (not @t363)) % 0.35/0.74 (define @t365 () (or @t364 @t326 @t3)) % 0.35/0.74 (define @t366 () (forall @t12 @t365)) % 0.35/0.74 (define @t367 () (=> @t366 @t362)) % 0.35/0.74 (define @t368 () (@var "BOUND_VARIABLE_8419" $$unsorted)) % 0.35/0.74 (define @t369 () (_ @t143 @t19)) % 0.35/0.74 (define @t370 () (not @t369)) % 0.35/0.74 (define @t371 () (not (_ @t143 @t368))) % 0.35/0.74 (define @t372 () (not (forall @t9 @t350))) % 0.35/0.74 (define @t373 () (@list @t143 @t368)) % 0.35/0.74 (define @t374 () (forall @t373 (or @t372 @t371 (not (forall @t70 (or @t370 (= @t19 @t368))))))) % 0.35/0.74 (define @t375 () (=> @t374 @t367)) % 0.35/0.74 (define @t376 () (tptp.in @t4 tptp.emptyset)) % 0.35/0.74 (define @t377 () (forall @t9 (not @t376))) % 0.35/0.74 (define @t378 () (=> @t377 @t375)) % 0.35/0.74 (define @t379 () (=> @t377 @t378)) % 0.35/0.74 (define @t380 () (=> @t377 @t379)) % 0.35/0.74 (define @t381 () (@var "BOUND_VARIABLE_10178" $$unsorted)) % 0.35/0.74 (define @t382 () (lambda (@list @t381) false)) % 0.35/0.74 (define @t383 () (tptp.powerset tptp.emptyset)) % 0.35/0.74 (define @t384 () (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t383 @t382))))) % 0.35/0.74 (define @t385 () (=> @t384 @t380)) % 0.35/0.74 (define @t386 () (not @t357)) % 0.35/0.74 (define @t387 () (forall @t159 (or @t386 @t349))) % 0.35/0.74 (define @t388 () (=> @t387 @t385)) % 0.35/0.74 (define @t389 () (forall @t159 (or @t386 @t310))) % 0.35/0.74 (define @t390 () (=> @t389 @t388)) % 0.35/0.74 (define @t391 () (forall @t159 (or @t311 @t350 @t357))) % 0.35/0.74 (define @t392 () (=> @t391 @t390)) % 0.35/0.74 (define @t393 () (@var "BOUND_VARIABLE_8290" $$unsorted)) % 0.35/0.74 (define @t394 () (not (_ @t143 @t393))) % 0.35/0.74 (define @t395 () (_ @t143 (tptp.descr @t143))) % 0.35/0.74 (define @t396 () (@list @t143 @t393)) % 0.35/0.74 (define @t397 () (forall @t396 (or @t395 @t394 (not (forall @t70 (or @t370 (= @t19 @t393))))))) % 0.35/0.74 (define @t398 () (=> @t397 @t392)) % 0.35/0.74 (define @t399 () (@var "BOUND_VARIABLE_8210" $$unsorted)) % 0.35/0.74 (define @t400 () (tptp.in @t399 @t95)) % 0.35/0.74 (define @t401 () (not (tptp.in @t399 @t93))) % 0.35/0.74 (define @t402 () (tptp.in @t4 @t93)) % 0.35/0.74 (define @t403 () (tptp.in @t93 @t1)) % 0.35/0.74 (define @t404 () (not @t403)) % 0.35/0.74 (define @t405 () (or @t404 @t402 @t401 @t400)) % 0.35/0.74 (define @t406 () (@list @t93 @t399)) % 0.35/0.74 (define @t407 () (forall @t406 @t405)) % 0.35/0.74 (define @t408 () (not @t407)) % 0.35/0.74 (define @t409 () (tptp.in @t19 @t104)) % 0.35/0.74 (define @t410 () (tptp.in @t19 @t95)) % 0.35/0.74 (define @t411 () (forall @t70 (or (not @t410) (not @t409)))) % 0.35/0.74 (define @t412 () (not @t411)) % 0.35/0.74 (define @t413 () (tptp.in @t4 @t104)) % 0.35/0.74 (define @t414 () (not @t413)) % 0.35/0.74 (define @t415 () (tptp.in @t95 @t1)) % 0.35/0.74 (define @t416 () (not @t415)) % 0.35/0.74 (define @t417 () (not (forall @t112 (or @t416 @t414 @t412 @t408)))) % 0.35/0.74 (define @t418 () (@var "BOUND_VARIABLE_8239" $$unsorted)) % 0.35/0.74 (define @t419 () (not (tptp.in @t418 @t104))) % 0.35/0.74 (define @t420 () (forall @t9 (or @t414 @t310))) % 0.35/0.74 (define @t421 () (not @t420)) % 0.35/0.74 (define @t422 () (or @t421 @t419 @t417)) % 0.35/0.74 (define @t423 () (forall (@list @t104 @t418) @t422)) % 0.35/0.74 (define @t424 () (not @t423)) % 0.35/0.74 (define @t425 () (@var "BOUND_VARIABLE_8162" $$unsorted)) % 0.35/0.74 (define @t426 () (tptp.in @t425 @t104)) % 0.35/0.74 (define @t427 () (not (tptp.in @t425 @t95))) % 0.35/0.74 (define @t428 () (@var "BOUND_VARIABLE_8156" $$unsorted)) % 0.35/0.74 (define @t429 () (tptp.in @t428 @t95)) % 0.35/0.74 (define @t430 () (not (tptp.in @t428 @t104))) % 0.35/0.74 (define @t431 () (tptp.in @t104 @t1)) % 0.35/0.74 (define @t432 () (not @t431)) % 0.35/0.74 (define @t433 () (or @t432 @t416 @t430 @t429 @t427 @t426)) % 0.35/0.74 (define @t434 () (@list @t104 @t95 @t428 @t425)) % 0.35/0.74 (define @t435 () (forall @t434 @t433)) % 0.35/0.74 (define @t436 () (not @t435)) % 0.35/0.74 (define @t437 () (forall @t118 (or @t432 (= @t413 @t409)))) % 0.35/0.74 (define @t438 () (not @t437)) % 0.35/0.74 (define @t439 () (forall @t135 (or @t311 @t334 @t438 @t129))) % 0.35/0.74 (define @t440 () (not @t439)) % 0.35/0.74 (define @t441 () (@var "BOUND_VARIABLE_8105" $$unsorted)) % 0.35/0.74 (define @t442 () (tptp.in @t441 @t2)) % 0.35/0.74 (define @t443 () (not (tptp.in @t441 @t104))) % 0.35/0.74 (define @t444 () (or @t432 @t443 @t442)) % 0.35/0.74 (define @t445 () (@list @t104 @t441)) % 0.35/0.74 (define @t446 () (forall @t445 @t444)) % 0.35/0.74 (define @t447 () (not @t446)) % 0.35/0.74 (define @t448 () (or @t447 @t440 @t436 @t424)) % 0.35/0.74 (define @t449 () (forall @t64 (not (forall @t41 @t448)))) % 0.35/0.74 (define @t450 () (=> @t449 @t398)) % 0.35/0.74 (define @t451 () (forall @t9 (or @t316 @t311))) % 0.35/0.74 (define @t452 () (not @t451)) % 0.35/0.74 (define @t453 () (not (forall @t41 (or @t314 @t452)))) % 0.35/0.74 (define @t454 () (@var "BOUND_VARIABLE_8080" $$unsorted)) % 0.35/0.74 (define @t455 () (not (tptp.in @t454 @t2))) % 0.35/0.74 (define @t456 () (or @t455 @t453)) % 0.35/0.74 (define @t457 () (forall (@list @t2 @t454) @t456)) % 0.35/0.74 (define @t458 () (=> @t457 @t450)) % 0.35/0.74 (define @t459 () (_ @t67 @t19 @t4)) % 0.35/0.74 (define @t460 () (not (forall @t70 (or @t334 (not @t459))))) % 0.35/0.74 (define @t461 () (forall @t9 (= @t315 @t460))) % 0.35/0.74 (define @t462 () (not (forall @t41 (not @t461)))) % 0.35/0.74 (define @t463 () (@var "BOUND_VARIABLE_7970" $$unsorted)) % 0.35/0.74 (define @t464 () (= @t19 @t463)) % 0.35/0.74 (define @t465 () (_ @t67 @t4 @t19)) % 0.35/0.74 (define @t466 () (not (forall @t70 (or (not @t465) @t464)))) % 0.35/0.74 (define @t467 () (_ @t67 @t4 @t463)) % 0.35/0.74 (define @t468 () (@list @t463)) % 0.35/0.74 (define @t469 () (not (forall @t468 (or (not @t467) @t466)))) % 0.35/0.74 (define @t470 () (forall @t9 (or @t311 @t469))) % 0.35/0.74 (define @t471 () (forall @t81 (or (not @t470) @t462))) % 0.35/0.74 (define @t472 () (=> @t471 @t458)) % 0.35/0.74 (define @t473 () (@var "BOUND_VARIABLE_7951" $$unsorted)) % 0.35/0.74 (define @t474 () (tptp.in @t473 @t2)) % 0.35/0.74 (define @t475 () (not (tptp.in @t473 tptp.omega))) % 0.35/0.74 (define @t476 () (tptp.setadjoin @t4 @t4)) % 0.35/0.74 (define @t477 () (tptp.in @t476 @t2)) % 0.35/0.74 (define @t478 () (tptp.in @t4 tptp.omega)) % 0.35/0.74 (define @t479 () (not @t478)) % 0.35/0.74 (define @t480 () (forall @t9 (or @t479 @t311 @t477))) % 0.35/0.74 (define @t481 () (not @t480)) % 0.35/0.74 (define @t482 () (tptp.in tptp.emptyset @t2)) % 0.35/0.74 (define @t483 () (not @t482)) % 0.35/0.74 (define @t484 () (or @t483 @t481 @t475 @t474)) % 0.35/0.74 (define @t485 () (@list @t2 @t473)) % 0.35/0.74 (define @t486 () (forall @t485 @t484)) % 0.35/0.74 (define @t487 () (=> @t486 @t472)) % 0.35/0.74 (define @t488 () (tptp.in @t476 tptp.omega)) % 0.35/0.74 (define @t489 () (forall @t9 (or @t479 @t488))) % 0.35/0.74 (define @t490 () (=> @t489 @t487)) % 0.35/0.74 (define @t491 () (tptp.in tptp.emptyset tptp.omega)) % 0.35/0.74 (define @t492 () (=> @t50 @t490)) % 0.35/0.74 (define @t493 () (forall @t46 (= @t318 @t319))) % 0.35/0.74 (define @t494 () (=> @t493 @t492)) % 0.35/0.74 (define @t495 () (forall @t12 (= @t325 @t322))) % 0.35/0.74 (define @t496 () (=> @t495 @t494)) % 0.35/0.74 (define @t497 () (or @t129 @t330)) % 0.35/0.74 (define @t498 () (forall @t28 (= @t332 @t497))) % 0.35/0.74 (define @t499 () (=> @t498 @t496)) % 0.35/0.74 (define @t500 () (=> @t377 @t499)) % 0.35/0.74 (define @t501 () (forall @t9 (= @t310 @t315))) % 0.35/0.74 (define @t502 () (forall @t12 (or (not @t501) @t3))) % 0.35/0.74 (define @t503 () (=> @t502 @t500)) % 0.35/0.74 (define @t504 () (=> @t387 (=> true @t385))) % 0.35/0.74 (define @t505 () (=> @t389 @t504)) % 0.35/0.74 (define @t506 () (=> @t391 @t505)) % 0.35/0.74 (define @t507 () (=> @t397 @t506)) % 0.35/0.74 (define @t508 () (=> @t449 @t507)) % 0.35/0.74 (define @t509 () (=> @t457 @t508)) % 0.35/0.74 (define @t510 () (=> @t471 @t509)) % 0.35/0.74 (define @t511 () (=> @t486 @t510)) % 0.35/0.74 (define @t512 () (=> @t489 @t511)) % 0.35/0.74 (define @t513 () (=> @t50 @t512)) % 0.35/0.74 (define @t514 () (=> @t493 @t513)) % 0.35/0.74 (define @t515 () (=> @t495 @t514)) % 0.35/0.74 (define @t516 () (=> @t498 @t515)) % 0.35/0.74 (define @t517 () (=> @t377 @t516)) % 0.35/0.74 (define @t518 () (=> @t502 @t517)) % 0.35/0.74 (define @t519 () (not @t44)) % 0.35/0.74 (define @t520 () (or @t519 @t318)) % 0.35/0.74 (define @t521 () (not false)) % 0.35/0.74 (define @t522 () (and @t521 @t318)) % 0.35/0.74 (define @t523 () (or @t522 false)) % 0.35/0.74 (define @t524 () (not @t172)) % 0.35/0.74 (define @t525 () (and @t524 @t318)) % 0.35/0.74 (define @t526 () (not (= @t172 false))) % 0.35/0.74 (define @t527 () (or @t172 @t525 @t172)) % 0.35/0.74 (define @t528 () (or @t525 @t172)) % 0.35/0.74 (define @t529 () (or @t172 @t317)) % 0.35/0.74 (define @t530 () (not @t39)) % 0.35/0.74 (define @t531 () (not @t6)) % 0.35/0.74 (define @t532 () (or @t531 @t530)) % 0.35/0.74 (define @t533 () (forall @t41 @t532)) % 0.35/0.74 (define @t534 () (or @t172 @t533)) % 0.35/0.74 (define @t535 () (or @t172 @t532)) % 0.35/0.74 (define @t536 () (or @t531 @t530 @t172)) % 0.35/0.74 (define @t537 () (=> tptp.setunionE @t312)) % 0.35/0.74 (define @t538 () (or @t531 @t530 @t44)) % 0.35/0.74 (define @t539 () (=> tptp.setunionI @t537)) % 0.35/0.74 (define @t540 () (not @t35)) % 0.35/0.74 (define @t541 () (or @t540 @t531 @t7)) % 0.35/0.74 (define @t542 () (or @t531 @t7)) % 0.35/0.74 (define @t543 () (=> tptp.powersetE @t539)) % 0.35/0.74 (define @t544 () (=> tptp.emptyInPowerset @t543)) % 0.35/0.74 (define @t545 () (=> tptp.emptyinPowerset @t544)) % 0.35/0.74 (define @t546 () (or @t326 @t35)) % 0.35/0.74 (define @t547 () (=> tptp.powersetI @t545)) % 0.35/0.74 (define @t548 () (_ @t155 @t328)) % 0.35/0.74 (define @t549 () (= @t2 @t548)) % 0.35/0.74 (define @t550 () (@list @t4)) % 0.35/0.74 (define @t551 () (=> tptp.setoftrueEq @t547)) % 0.35/0.74 (define @t552 () (not @t26)) % 0.35/0.74 (define @t553 () (or @t552 @t129 @t21)) % 0.35/0.74 (define @t554 () (or @t129 @t21)) % 0.35/0.74 (define @t555 () (=> tptp.setadjoinOr @t551)) % 0.35/0.74 (define @t556 () (or @t552 @t129 @t330)) % 0.35/0.74 (define @t557 () (and @t330 @t521)) % 0.35/0.74 (define @t558 () (and @t129 @t521)) % 0.35/0.74 (define @t559 () (or @t558 @t557)) % 0.35/0.74 (define @t560 () (or @t558 @t557 false)) % 0.35/0.74 (define @t561 () (and @t330 @t524)) % 0.35/0.74 (define @t562 () (and @t129 @t524)) % 0.35/0.74 (define @t563 () (or @t172 @t562 @t561 @t172)) % 0.35/0.74 (define @t564 () (or @t562 @t561 @t172)) % 0.35/0.74 (define @t565 () (and @t21 @t524)) % 0.35/0.74 (define @t566 () (or @t562 @t565 @t172)) % 0.35/0.74 (define @t567 () (=> @t129 @t172)) % 0.35/0.74 (define @t568 () (=> tptp.setadjoinE @t555)) % 0.35/0.74 (define @t569 () (not @t21)) % 0.35/0.74 (define @t570 () (or @t569 @t26)) % 0.35/0.74 (define @t571 () (=> tptp.setadjoinIR @t568)) % 0.35/0.74 (define @t572 () (=> tptp.emptyinunitempty @t571)) % 0.35/0.74 (define @t573 () (=> tptp.setadjoinIL @t572)) % 0.35/0.74 (define @t574 () (not (= tptp.emptyset tptp.emptyset))) % 0.35/0.74 (define @t575 () (or @t344 @t574)) % 0.35/0.74 (define @t576 () (not @t193)) % 0.35/0.74 (define @t577 () (not (tptp.in @t343 @t2))) % 0.35/0.74 (define @t578 () (or @t576 @t577 @t576)) % 0.35/0.74 (define @t579 () (or @t577 @t576)) % 0.35/0.74 (define @t580 () (forall @t64 @t579)) % 0.35/0.74 (define @t581 () (forall @t345 @t580)) % 0.35/0.74 (define @t582 () (forall (@list @t343 @t2) @t579)) % 0.35/0.74 (define @t583 () (forall (@list @t2 @t343) @t579)) % 0.35/0.74 (define @t584 () (forall @t345 @t579)) % 0.35/0.74 (define @t585 () (forall @t345 @t577)) % 0.35/0.74 (define @t586 () (or @t585 @t576)) % 0.35/0.74 (define @t587 () (not @t354)) % 0.35/0.74 (define @t588 () (_ @t306 @t2)) % 0.35/0.74 (define @t589 () (not @t195)) % 0.35/0.74 (define @t590 () (=> @t89 @t588)) % 0.35/0.74 (define @t591 () (forall @t64 @t590)) % 0.35/0.74 (define @t592 () (=> tptp.nonemptyI1 @t573)) % 0.35/0.74 (define @t593 () (lambda @t70 @t369)) % 0.35/0.74 (define @t594 () (tptp.dsetconstr @t2 @t593)) % 0.35/0.74 (define @t595 () (= tptp.emptyset @t594)) % 0.35/0.74 (define @t596 () (not @t595)) % 0.35/0.74 (define @t597 () (or @t311 @t350 @t596)) % 0.35/0.74 (define @t598 () (= tptp.emptyset @t156)) % 0.35/0.74 (define @t599 () (not @t598)) % 0.35/0.74 (define @t600 () (not @t144)) % 0.35/0.74 (define @t601 () (or @t194 @t600 @t599)) % 0.35/0.74 (define @t602 () (=> @t144 @t599)) % 0.35/0.74 (define @t603 () (not (= @t156 tptp.emptyset))) % 0.35/0.74 (define @t604 () (_ @t306 @t156)) % 0.35/0.74 (define @t605 () (=> @t144 @t604)) % 0.35/0.74 (define @t606 () (=> @t7 @t605)) % 0.35/0.74 (define @t607 () (forall @t159 @t606)) % 0.35/0.74 (define @t608 () (=> tptp.nonemptyI @t592)) % 0.35/0.74 (define @t609 () (=> @t588 @t89)) % 0.35/0.74 (define @t610 () (forall @t64 @t609)) % 0.35/0.74 (define @t611 () (=> tptp.nonemptyE1 @t608)) % 0.35/0.74 (define @t612 () (tptp.in @t4 @t594)) % 0.35/0.74 (define @t613 () (= @t349 @t612)) % 0.35/0.74 (define @t614 () (or @t311 @t613)) % 0.35/0.74 (define @t615 () (= @t144 @t157)) % 0.35/0.74 (define @t616 () (or @t194 @t615)) % 0.35/0.74 (define @t617 () (=> tptp.setbeta @t611)) % 0.35/0.74 (define @t618 () (=> tptp.noeltsimpempty @t617)) % 0.35/0.74 (define @t619 () (=> tptp.emptyI @t618)) % 0.35/0.74 (define @t620 () (=> @t325 @t3)) % 0.35/0.74 (define @t621 () (or @t194 @t6)) % 0.35/0.74 (define @t622 () (=> tptp.setext @t619)) % 0.35/0.74 (define @t623 () (or @t370 (= @t368 @t19))) % 0.35/0.74 (define @t624 () (forall @t70 @t623)) % 0.35/0.74 (define @t625 () (not @t624)) % 0.35/0.74 (define @t626 () (or @t372 @t371 @t625)) % 0.35/0.74 (define @t627 () (or @t371 @t625)) % 0.35/0.74 (define @t628 () (or @t627 @t372)) % 0.35/0.74 (define @t629 () (forall @t373 @t628)) % 0.35/0.74 (define @t630 () (@list @t368)) % 0.35/0.74 (define @t631 () (forall @t630 @t628)) % 0.35/0.74 (define @t632 () (forall @t630 @t627)) % 0.35/0.74 (define @t633 () (or @t632 @t372)) % 0.35/0.74 (define @t634 () (forall @t70 (or @t370 @t129))) % 0.35/0.74 (define @t635 () (not @t634)) % 0.35/0.74 (define @t636 () (forall @t9 (or @t350 @t635))) % 0.35/0.74 (define @t637 () (not @t636)) % 0.35/0.74 (define @t638 () (not @t637)) % 0.35/0.74 (define @t639 () (forall @t9 @t600)) % 0.35/0.74 (define @t640 () (not @t639)) % 0.35/0.74 (define @t641 () (or @t600 @t635)) % 0.35/0.74 (define @t642 () (not @t153)) % 0.35/0.74 (define @t643 () (or @t642 @t129)) % 0.35/0.74 (define @t644 () (_ @t145 @t19)) % 0.35/0.74 (define @t645 () (not @t644)) % 0.35/0.74 (define @t646 () (or @t645 @t129)) % 0.35/0.74 (define @t647 () (forall @t70 @t646)) % 0.35/0.74 (define @t648 () (not @t647)) % 0.35/0.74 (define @t649 () (_ @t145 @t4)) % 0.35/0.74 (define @t650 () (not @t649)) % 0.35/0.74 (define @t651 () (or @t650 @t648)) % 0.35/0.74 (define @t652 () (forall @t9 @t651)) % 0.35/0.74 (define @t653 () (not @t652)) % 0.35/0.74 (define @t654 () (lambda @t150 @t637)) % 0.35/0.74 (define @t655 () (_ @t654 @t145)) % 0.35/0.74 (define @t656 () (=> @t655 @t184)) % 0.35/0.74 (define @t657 () (forall @t150 @t656)) % 0.35/0.74 (define @t658 () (and @t144 @t634)) % 0.35/0.74 (define @t659 () (forall @t9 (not @t658))) % 0.35/0.74 (define @t660 () (not @t659)) % 0.35/0.74 (define @t661 () (=> tptp.exuE3e @t622)) % 0.35/0.74 (define @t662 () (=> tptp.notinemptyset @t661)) % 0.35/0.74 (define @t663 () (=> tptp.emptysetimpfalse @t662)) % 0.35/0.74 (define @t664 () (or @t172 @t172)) % 0.35/0.74 (define @t665 () (=> tptp.emptysetE @t663)) % 0.35/0.74 (define @t666 () (@var "BOUND_VARIABLE_8364" $$unsorted)) % 0.35/0.74 (define @t667 () (@list @t666)) % 0.35/0.74 (define @t668 () (lambda @t667 false)) % 0.35/0.74 (define @t669 () (@list @t666)) % 0.35/0.74 (define @t670 () (tptp.dsetconstr @t383 @t668)) % 0.35/0.74 (define @t671 () (tptp.in @t4 @t670)) % 0.35/0.74 (define @t672 () (not @t671)) % 0.35/0.74 (define @t673 () (or @t672 false)) % 0.35/0.74 (define @t674 () (lambda @t667 @t172)) % 0.35/0.74 (define @t675 () (tptp.dsetconstr @t383 @t674)) % 0.35/0.74 (define @t676 () (tptp.in @t4 @t675)) % 0.35/0.74 (define @t677 () (not @t676)) % 0.35/0.74 (define @t678 () (or @t172 @t677 @t172)) % 0.35/0.74 (define @t679 () (or @t677 @t172)) % 0.35/0.74 (define @t680 () (forall @t177 @t679)) % 0.35/0.74 (define @t681 () (forall @t9 @t680)) % 0.35/0.74 (define @t682 () (forall (@list @t4 @t172) @t679)) % 0.35/0.74 (define @t683 () (_ @t303 @t674)) % 0.35/0.74 (define @t684 () (_ @t5 @t683)) % 0.35/0.74 (define @t685 () (not @t684)) % 0.35/0.74 (define @t686 () (or @t685 @t172)) % 0.35/0.74 (define @t687 () (=> (_ @t5 @t304) @t172)) % 0.35/0.74 (define @t688 () (_ @t305 @t172)) % 0.35/0.74 (define @t689 () (=> (_ @t5 @t688) @t172)) % 0.35/0.74 (define @t690 () (forall @t174 @t689)) % 0.35/0.74 (define @t691 () (=> tptp.prop2setE @t665)) % 0.35/0.74 (define @t692 () (=> @t655 @t168)) % 0.35/0.74 (define @t693 () (forall @t150 @t692)) % 0.35/0.74 (define @t694 () (=> tptp.exuE1 @t691)) % 0.35/0.74 (define @t695 () (not @t612)) % 0.35/0.74 (define @t696 () (or @t695 @t349)) % 0.35/0.74 (define @t697 () (not @t157)) % 0.35/0.74 (define @t698 () (or @t697 @t144)) % 0.35/0.74 (define @t699 () (=> tptp.dsetconstrER @t694)) % 0.35/0.74 (define @t700 () (or @t695 @t310)) % 0.35/0.74 (define @t701 () (or @t697 @t7)) % 0.35/0.74 (define @t702 () (=> tptp.dsetconstrEL @t699)) % 0.35/0.74 (define @t703 () (or @t311 @t350 @t612)) % 0.35/0.74 (define @t704 () (or @t194 @t600 @t157)) % 0.35/0.74 (define @t705 () (=> tptp.dsetconstrI @t702)) % 0.35/0.74 (define @t706 () (or @t370 (= @t393 @t19))) % 0.35/0.74 (define @t707 () (forall @t70 @t706)) % 0.35/0.74 (define @t708 () (not @t707)) % 0.35/0.74 (define @t709 () (or @t395 @t394 @t708)) % 0.35/0.74 (define @t710 () (or @t394 @t708)) % 0.35/0.74 (define @t711 () (or @t710 @t395)) % 0.35/0.74 (define @t712 () (forall @t396 @t711)) % 0.35/0.74 (define @t713 () (@list @t393)) % 0.35/0.74 (define @t714 () (forall @t713 @t711)) % 0.35/0.74 (define @t715 () (forall @t713 @t710)) % 0.35/0.74 (define @t716 () (or @t715 @t395)) % 0.35/0.74 (define @t717 () (lambda @t9 @t349)) % 0.35/0.74 (define @t718 () (tptp.descr @t717)) % 0.35/0.74 (define @t719 () (_ @t143 @t718)) % 0.35/0.74 (define @t720 () (or @t636 @t719)) % 0.35/0.74 (define @t721 () (or @t636 @t147)) % 0.35/0.74 (define @t722 () (=> @t655 @t147)) % 0.35/0.74 (define @t723 () (forall @t150 @t722)) % 0.35/0.74 (define @t724 () (=> tptp.descrp @t705)) % 0.35/0.74 (define @t725 () (and @t446 @t439 @t435 @t423)) % 0.35/0.74 (define @t726 () (forall @t41 (not @t725))) % 0.35/0.74 (define @t727 () (not @t726)) % 0.35/0.74 (define @t728 () (@list @t418)) % 0.35/0.74 (define @t729 () (forall @t728 @t422)) % 0.35/0.74 (define @t730 () (forall @t728 @t419)) % 0.35/0.74 (define @t731 () (or @t421 @t730 @t417)) % 0.35/0.74 (define @t732 () (forall @t9 @t414)) % 0.35/0.74 (define @t733 () (or @t421 @t732 @t417)) % 0.35/0.74 (define @t734 () (not @t732)) % 0.35/0.74 (define @t735 () (and @t420 @t734)) % 0.35/0.74 (define @t736 () (not @t109)) % 0.35/0.74 (define @t737 () (not @t110)) % 0.35/0.74 (define @t738 () (or @t737 @t736 @t412 @t408)) % 0.35/0.74 (define @t739 () (and @t110 @t109 @t411 @t407)) % 0.35/0.74 (define @t740 () (forall @t112 (not @t739))) % 0.35/0.74 (define @t741 () (not @t740)) % 0.35/0.74 (define @t742 () (or @t401 @t400)) % 0.35/0.74 (define @t743 () (or @t404 @t742 @t402)) % 0.35/0.74 (define @t744 () (forall @t406 @t743)) % 0.35/0.74 (define @t745 () (@list @t399)) % 0.35/0.74 (define @t746 () (forall @t745 @t743)) % 0.35/0.74 (define @t747 () (forall @t745 @t742)) % 0.35/0.74 (define @t748 () (or @t404 @t747 @t402)) % 0.35/0.74 (define @t749 () (tptp.in @t19 @t93)) % 0.35/0.74 (define @t750 () (forall @t70 (or (not @t749) @t410))) % 0.35/0.74 (define @t751 () (not @t100)) % 0.35/0.74 (define @t752 () (or @t751 @t750 @t94)) % 0.35/0.74 (define @t753 () (or @t750 @t94)) % 0.35/0.74 (define @t754 () (not @t97)) % 0.35/0.74 (define @t755 () (or @t754 @t96)) % 0.35/0.74 (define @t756 () (not @t105)) % 0.35/0.74 (define @t757 () (not @t96)) % 0.35/0.74 (define @t758 () (or @t757 @t756)) % 0.35/0.74 (define @t759 () (forall @t70 (not @t106))) % 0.35/0.74 (define @t760 () (not @t759)) % 0.35/0.74 (define @t761 () (forall @t9 @t736)) % 0.35/0.74 (define @t762 () (not @t761)) % 0.35/0.74 (define @t763 () (or @t736 @t7)) % 0.35/0.74 (define @t764 () (or @t427 @t426)) % 0.35/0.74 (define @t765 () (or @t430 @t429)) % 0.35/0.74 (define @t766 () (or @t432 @t416 @t765 @t764)) % 0.35/0.74 (define @t767 () (forall @t434 @t766)) % 0.35/0.74 (define @t768 () (forall (@list @t428 @t425) @t766)) % 0.35/0.74 (define @t769 () (forall (@list @t425) @t764)) % 0.35/0.74 (define @t770 () (forall (@list @t428) @t765)) % 0.35/0.74 (define @t771 () (or @t432 @t416 @t770 @t769)) % 0.35/0.74 (define @t772 () (tptp.in @t4 @t95)) % 0.35/0.74 (define @t773 () (forall @t9 (or (not @t772) @t413))) % 0.35/0.74 (define @t774 () (forall @t9 (or @t414 @t772))) % 0.35/0.74 (define @t775 () (not @t124)) % 0.35/0.74 (define @t776 () (or @t775 @t737 @t774 @t773)) % 0.35/0.74 (define @t777 () (or @t774 @t773)) % 0.35/0.74 (define @t778 () (not @t120)) % 0.35/0.74 (define @t779 () (or @t778 @t109)) % 0.35/0.74 (define @t780 () (or @t736 @t120)) % 0.35/0.74 (define @t781 () (or @t194 @t569 @t438 @t129)) % 0.35/0.74 (define @t782 () (=> @t437 @t129)) % 0.35/0.74 (define @t783 () (or @t775 @t130)) % 0.35/0.74 (define @t784 () (or @t443 @t442)) % 0.35/0.74 (define @t785 () (or @t432 @t784)) % 0.35/0.74 (define @t786 () (forall @t445 @t785)) % 0.35/0.74 (define @t787 () (@list @t441)) % 0.35/0.74 (define @t788 () (forall @t787 @t785)) % 0.35/0.74 (define @t789 () (forall @t787 @t784)) % 0.35/0.74 (define @t790 () (or @t432 @t789)) % 0.35/0.74 (define @t791 () (or @t775 @t420)) % 0.35/0.74 (define @t792 () (=> tptp.wellorderingAx @t724)) % 0.35/0.74 (define @t793 () (@list @t454)) % 0.35/0.74 (define @t794 () (forall @t793 @t456)) % 0.35/0.74 (define @t795 () (forall @t793 @t455)) % 0.35/0.74 (define @t796 () (or @t795 @t453)) % 0.35/0.74 (define @t797 () (or @t530 @t452)) % 0.35/0.74 (define @t798 () (and @t39 @t451)) % 0.35/0.74 (define @t799 () (forall @t41 (not @t798))) % 0.35/0.74 (define @t800 () (not @t799)) % 0.35/0.74 (define @t801 () (or @t531 @t194)) % 0.35/0.74 (define @t802 () (forall @t9 (not @t84))) % 0.35/0.74 (define @t803 () (not @t802)) % 0.35/0.74 (define @t804 () (=> tptp.foundationAx @t792)) % 0.35/0.74 (define @t805 () (= @t6 @t460)) % 0.35/0.74 (define @t806 () (not @t68)) % 0.35/0.74 (define @t807 () (or @t569 @t806)) % 0.35/0.74 (define @t808 () (forall @t70 (not @t69))) % 0.35/0.74 (define @t809 () (not @t808)) % 0.35/0.74 (define @t810 () (or @t194 @t469)) % 0.35/0.74 (define @t811 () (_ @t75 @t463)) % 0.35/0.74 (define @t812 () (not @t811)) % 0.35/0.74 (define @t813 () (or @t812 @t466)) % 0.35/0.74 (define @t814 () (not @t76)) % 0.35/0.74 (define @t815 () (or @t814 @t464)) % 0.35/0.74 (define @t816 () (_ @t77 @t19)) % 0.35/0.74 (define @t817 () (not @t816)) % 0.35/0.74 (define @t818 () (or @t817 @t464)) % 0.35/0.74 (define @t819 () (forall @t70 @t818)) % 0.35/0.74 (define @t820 () (not @t819)) % 0.35/0.74 (define @t821 () (_ @t77 @t463)) % 0.35/0.74 (define @t822 () (not @t821)) % 0.35/0.74 (define @t823 () (or @t822 @t820)) % 0.35/0.74 (define @t824 () (forall @t468 @t823)) % 0.35/0.74 (define @t825 () (not @t824)) % 0.35/0.74 (define @t826 () (not (_ @t143 @t463))) % 0.35/0.74 (define @t827 () (or @t370 (= @t463 @t19))) % 0.35/0.74 (define @t828 () (forall @t70 @t827)) % 0.35/0.74 (define @t829 () (not @t828)) % 0.35/0.74 (define @t830 () (or @t826 @t829)) % 0.35/0.74 (define @t831 () (forall @t468 @t830)) % 0.35/0.74 (define @t832 () (not @t831)) % 0.35/0.74 (define @t833 () (=> @t7 (_ @t654 @t77))) % 0.35/0.74 (define @t834 () (forall @t9 @t833)) % 0.35/0.74 (define @t835 () (=> @t834 @t74)) % 0.35/0.74 (define @t836 () (forall @t81 @t835)) % 0.35/0.74 (define @t837 () (=> tptp.replAx @t804)) % 0.35/0.74 (define @t838 () (or @t475 @t474)) % 0.35/0.74 (define @t839 () (or @t483 @t481 @t838)) % 0.35/0.74 (define @t840 () (forall @t485 @t839)) % 0.35/0.74 (define @t841 () (@list @t473)) % 0.35/0.74 (define @t842 () (forall @t841 @t839)) % 0.35/0.74 (define @t843 () (forall @t841 @t838)) % 0.35/0.74 (define @t844 () (or @t483 @t481 @t843)) % 0.35/0.74 (define @t845 () (forall @t9 (or @t479 @t310))) % 0.35/0.74 (define @t846 () (not @t61)) % 0.35/0.74 (define @t847 () (or @t846 @t481 @t845)) % 0.35/0.74 (define @t848 () (and @t61 @t480)) % 0.35/0.74 (define @t849 () (not @t54)) % 0.35/0.74 (define @t850 () (or @t849 @t7)) % 0.35/0.74 (define @t851 () (_ tptp.in @t476)) % 0.35/0.74 (define @t852 () (or @t849 @t194 @t58)) % 0.35/0.74 (define @t853 () (=> tptp.omegaIndAx @t837)) % 0.35/0.74 (define @t854 () (or @t849 @t53)) % 0.35/0.74 (define @t855 () (=> tptp.omegaSAx @t853)) % 0.35/0.74 (define @t856 () (=> tptp.omega0Ax @t855)) % 0.35/0.74 (define @t857 () (= @t44 @t318)) % 0.35/0.74 (define @t858 () (forall @t41 (not @t40))) % 0.35/0.74 (define @t859 () (not @t858)) % 0.35/0.74 (define @t860 () (=> tptp.setunionAx @t856)) % 0.35/0.74 (define @t861 () (= @t35 @t325)) % 0.35/0.74 (define @t862 () (=> tptp.powersetAx @t860)) % 0.35/0.74 (define @t863 () (= @t26 @t554)) % 0.35/0.74 (define @t864 () (=> tptp.setadjoinAx @t862)) % 0.35/0.74 (define @t865 () (=> tptp.emptysetAx @t864)) % 0.35/0.74 (define @t866 () (=> tptp.setextAx @t865)) % 0.35/0.74 (define @t867 () (or @t194 @t257)) % 0.35/0.74 (define @t868 () (@quantifiers_skolemize @t312 0)) % 0.35/0.74 (define @t869 () (tptp.setunion @t868)) % 0.35/0.74 (define @t870 () (@quantifiers_skolemize @t312 1)) % 0.35/0.74 (define @t871 () (forall @t9 (or (not (tptp.in @t4 @t870)) (tptp.in @t4 @t869)))) % 0.35/0.74 (define @t872 () (tptp.in @t870 (tptp.powerset @t869))) % 0.35/0.74 (define @t873 () (= @t871 @t872)) % 0.35/0.74 (define @t874 () (= @t872 @t871)) % 0.35/0.74 (define @t875 () (tptp.in @t870 @t868)) % 0.35/0.74 (define @t876 () (not @t875)) % 0.35/0.74 (define @t877 () (or @t876 @t872)) % 0.35/0.74 (define @t878 () (@list true)) % 0.35/0.74 (define @t879 () (@list @t877)) % 0.35/0.74 (define @t880 () (not @t871)) % 0.35/0.74 (define @t881 () (@list true false)) % 0.35/0.74 (define @t882 () (@quantifiers_skolemize @t871 0)) % 0.35/0.74 (define @t883 () (tptp.in @t882 @t869)) % 0.35/0.74 (define @t884 () (tptp.in @t882 @t870)) % 0.35/0.74 (define @t885 () (not @t884)) % 0.35/0.74 (define @t886 () (or @t885 @t883)) % 0.35/0.74 (define @t887 () (@list @t886)) % 0.35/0.74 (define @t888 () (or @t885 @t876 @t883)) % 0.35/0.74 (define @t889 () (not @t888)) % 0.35/0.74 (assume @p1 @t14) % 0.35/0.74 (assume @p2 @t18) % 0.35/0.74 (assume @p3 @t30) % 0.35/0.74 (assume @p4 @t38) % 0.35/0.74 (assume @p5 @t48) % 0.35/0.74 (assume @p6 (= tptp.omega0Ax @t50)) % 0.35/0.74 (assume @p7 @t56) % 0.35/0.74 (assume @p8 @t66) % 0.35/0.74 (assume @p9 @t83) % 0.35/0.74 (assume @p10 @t92) % 0.35/0.74 (assume @p11 @t142) % 0.35/0.74 (assume @p12 @t152) % 0.35/0.74 (assume @p13 @t161) % 0.35/0.74 (assume @p14 @t163) % 0.35/0.74 (assume @p15 @t165) % 0.35/0.74 (assume @p16 @t171) % 0.35/0.74 (assume @p17 @t176) % 0.35/0.74 (assume @p18 @t181) % 0.35/0.74 (assume @p19 @t183) % 0.35/0.74 (assume @p20 (= tptp.notinemptyset @t17)) % 0.35/0.74 (assume @p21 @t187) % 0.35/0.74 (assume @p22 @t192) % 0.35/0.74 (assume @p23 @t198) % 0.35/0.74 (assume @p24 (= tptp.noeltsimpempty @t197)) % 0.35/0.74 (assume @p25 @t201) % 0.35/0.74 (assume @p26 @t205) % 0.35/0.74 (assume @p27 @t209) % 0.35/0.74 (assume @p28 @t212) % 0.35/0.74 (assume @p29 @t216) % 0.35/0.74 (assume @p30 (= tptp.emptyinunitempty @t218)) % 0.35/0.74 (assume @p31 @t220) % 0.35/0.74 (assume @p32 @t228) % 0.35/0.74 (assume @p33 @t231) % 0.35/0.74 (assume @p34 @t235) % 0.35/0.74 (assume @p35 @t238) % 0.35/0.74 (assume @p36 @t241) % 0.35/0.74 (assume @p37 (= tptp.emptyInPowerset @t240)) % 0.35/0.74 (assume @p38 @t244) % 0.35/0.74 (assume @p39 @t248) % 0.35/0.74 (assume @p40 @t255) % 0.35/0.74 (assume @p41 @t299) % 0.35/0.74 (assume @p42 true) % 0.35/0.74 (step @p43 (= tptp.exu @t300) :rule refl :args (@t300)) % 0.35/0.74 (step @p44 (= tptp.prop2set @t305) :rule refl :args (@t305)) % 0.35/0.74 (step @p45 (= tptp.nonempty @t306) :rule refl :args (@t306)) % 0.35/0.74 (step @p46 :rule refl :args (@t335)) % 0.35/0.74 (step @p47 :rule refl :args ((tptp.in tptp.emptyset @t217))) % 0.35/0.74 (step @p48 :rule refl :args (@t336)) % 0.35/0.74 (step @p49 :rule refl :args (tptp.emptyset)) % 0.35/0.74 (step @p50 :rule cong :premises (@p49 @p48) :args (@t337)) % 0.35/0.74 (step @p51 :rule trans :premises (@p50 @p47)) % 0.35/0.74 (step @p52 :rule refl :args (@t49)) % 0.35/0.74 (step @p53 :rule ho_cong :premises (@p52 @p48)) % 0.35/0.74 (step @p54 :rule cong :premises (@p53 @p51) :args ((= (_ @t49 @t336) @t337))) % 0.35/0.74 (step @p55 :rule symm :premises (@p54)) % 0.35/0.74 (step @p56 :rule refl :args (@t218)) % 0.35/0.74 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.35/0.74 (step @p58 :rule refl :args (@t217)) % 0.35/0.74 (step @p59 :rule cong :premises (@p58 @p48) :args ((= @t217 @t336))) % 0.35/0.74 (step @p60 :rule symm :premises (@p59)) % 0.35/0.74 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.35/0.74 (step @p62 :rule refl :args (@t49)) % 0.35/0.74 (step @p63 :rule ho_cong :premises (@p62 @p61)) % 0.35/0.74 (step @p64 :rule trans :premises (@p63 @p57)) % 0.35/0.74 (step @p65 :rule cong :premises (@p64 @p46) :args (@t338)) % 0.35/0.74 (step @p66 :rule refl :args (@t341)) % 0.35/0.74 (step @p67 :rule cong :premises (@p66 @p65) :args (@t342)) % 0.35/0.74 (step @p68 :rule refl :args (@t346)) % 0.35/0.74 (step @p69 :rule cong :premises (@p68 @p67) :args (@t347)) % 0.35/0.74 (step @p70 :rule refl :args (@t351)) % 0.35/0.74 (step @p71 :rule cong :premises (@p70 @p69) :args (@t352)) % 0.35/0.74 (step @p72 :rule refl :args (@t355)) % 0.35/0.74 (step @p73 :rule cong :premises (@p72 @p71) :args (@t356)) % 0.35/0.74 (step @p74 :rule refl :args (@t358)) % 0.35/0.74 (step @p75 :rule cong :premises (@p74 @p73) :args (@t359)) % 0.35/0.74 (step @p76 :rule refl :args (@t360)) % 0.35/0.74 (step @p77 :rule cong :premises (@p76 @p75) :args (@t361)) % 0.35/0.74 (step @p78 :rule cong :premises (@p76 @p77) :args (@t362)) % 0.35/0.74 (step @p79 :rule refl :args (@t366)) % 0.35/0.74 (step @p80 :rule cong :premises (@p79 @p78) :args (@t367)) % 0.35/0.74 (step @p81 :rule refl :args (@t374)) % 0.35/0.74 (step @p82 :rule cong :premises (@p81 @p80) :args (@t375)) % 0.35/0.74 (step @p83 :rule refl :args (@t377)) % 0.35/0.74 (step @p84 :rule cong :premises (@p83 @p82) :args (@t378)) % 0.35/0.74 (step @p85 :rule cong :premises (@p83 @p84) :args (@t379)) % 0.35/0.74 (step @p86 :rule cong :premises (@p83 @p85) :args (@t380)) % 0.35/0.74 (step @p87 :rule refl :args (@t384)) % 0.35/0.74 (step @p88 :rule cong :premises (@p87 @p86) :args (@t385)) % 0.35/0.74 (step @p89 :rule refl :args (@t387)) % 0.35/0.74 (step @p90 :rule cong :premises (@p89 @p88) :args (@t388)) % 0.35/0.74 (step @p91 :rule refl :args (@t389)) % 0.35/0.74 (step @p92 :rule cong :premises (@p91 @p90) :args (@t390)) % 0.35/0.74 (step @p93 :rule refl :args (@t391)) % 0.35/0.74 (step @p94 :rule cong :premises (@p93 @p92) :args (@t392)) % 0.35/0.74 (step @p95 :rule refl :args (@t397)) % 0.35/0.74 (step @p96 :rule cong :premises (@p95 @p94) :args (@t398)) % 0.35/0.74 (step @p97 :rule refl :args (@t449)) % 0.35/0.74 (step @p98 :rule cong :premises (@p97 @p96) :args (@t450)) % 0.35/0.74 (step @p99 :rule refl :args (@t457)) % 0.35/0.74 (step @p100 :rule cong :premises (@p99 @p98) :args (@t458)) % 0.35/0.74 (step @p101 :rule refl :args (@t471)) % 0.35/0.74 (step @p102 :rule cong :premises (@p101 @p100) :args (@t472)) % 0.35/0.74 (step @p103 :rule refl :args (@t486)) % 0.35/0.74 (step @p104 :rule cong :premises (@p103 @p102) :args (@t487)) % 0.35/0.74 (step @p105 :rule refl :args (@t489)) % 0.35/0.74 (step @p106 :rule cong :premises (@p105 @p104) :args (@t490)) % 0.35/0.74 (step @p107 :rule refl :args (@t491)) % 0.35/0.74 (step @p108 :rule refl :args (@t50)) % 0.35/0.74 (step @p109 :rule cong :premises (@p108 @p107) :args ((= @t50 @t491))) % 0.35/0.74 (step @p110 :rule symm :premises (@p109)) % 0.35/0.74 (step @p111 :rule eq_resolve :premises (@p108 @p110)) % 0.35/0.74 (step @p112 :rule cong :premises (@p111 @p106) :args (@t492)) % 0.35/0.74 (step @p113 :rule refl :args (@t493)) % 0.35/0.74 (step @p114 :rule cong :premises (@p113 @p112) :args (@t494)) % 0.35/0.74 (step @p115 :rule refl :args (@t495)) % 0.35/0.74 (step @p116 :rule cong :premises (@p115 @p114) :args (@t496)) % 0.35/0.74 (step @p117 :rule refl :args (@t498)) % 0.35/0.74 (step @p118 :rule cong :premises (@p117 @p116) :args (@t499)) % 0.35/0.74 (step @p119 :rule cong :premises (@p83 @p118) :args (@t500)) % 0.35/0.74 (step @p120 :rule refl :args (@t502)) % 0.35/0.74 (step @p121 :rule cong :premises (@p120 @p119) :args (@t503)) % 0.35/0.74 (step @p122 :rule cong :premises (@p121) :args ((not @t503))) % 0.35/0.74 (step @p123 :rule bool-impl-true2 :args (@t385)) % 0.35/0.74 (step @p124 :rule cong :premises (@p89 @p123) :args (@t504)) % 0.35/0.74 (step @p125 :rule cong :premises (@p91 @p124) :args (@t505)) % 0.35/0.74 (step @p126 :rule cong :premises (@p93 @p125) :args (@t506)) % 0.35/0.74 (step @p127 :rule cong :premises (@p95 @p126) :args (@t507)) % 0.35/0.74 (step @p128 :rule cong :premises (@p97 @p127) :args (@t508)) % 0.35/0.74 (step @p129 :rule cong :premises (@p99 @p128) :args (@t509)) % 0.35/0.74 (step @p130 :rule cong :premises (@p101 @p129) :args (@t510)) % 0.35/0.74 (step @p131 :rule cong :premises (@p103 @p130) :args (@t511)) % 0.35/0.74 (step @p132 :rule cong :premises (@p105 @p131) :args (@t512)) % 0.35/0.74 (step @p133 :rule refl :args (@t50)) % 0.35/0.74 (step @p134 :rule cong :premises (@p133 @p132) :args (@t513)) % 0.35/0.74 (step @p135 :rule cong :premises (@p113 @p134) :args (@t514)) % 0.35/0.74 (step @p136 :rule cong :premises (@p115 @p135) :args (@t515)) % 0.35/0.74 (step @p137 :rule cong :premises (@p117 @p136) :args (@t516)) % 0.35/0.74 (step @p138 :rule cong :premises (@p83 @p137) :args (@t517)) % 0.35/0.74 (step @p139 :rule cong :premises (@p120 @p138) :args (@t518)) % 0.35/0.74 (step @p140 :rule cong :premises (@p139) :args ((not @t518))) % 0.35/0.74 (step @p141 :rule refl :args (@t312)) % 0.35/0.74 (step @p142 :rule refl :args (@t318)) % 0.35/0.74 (step @p143 :rule refl :args ((tptp.in @t4 @t43))) % 0.35/0.74 (step @p144 :rule refl :args (@t307)) % 0.35/0.74 (step @p145 :rule refl :args (@t4)) % 0.35/0.74 (step @p146 :rule cong :premises (@p145 @p144) :args (@t319)) % 0.35/0.74 (step @p147 :rule trans :premises (@p146 @p143)) % 0.35/0.74 (step @p148 :rule refl :args (@t5)) % 0.35/0.74 (step @p149 :rule ho_cong 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@p1741 :rule reordering :premises (@p1740) :args ((or @t884 @t886))) % 0.35/0.75 (step @p1742 :rule chain_m_resolution :premises (@p1741 @p1733) :args (@t884 @t878 @t887)) % 0.35/0.75 (step @p1743 :rule bool-double-not-elim :args (@t875)) % 0.35/0.75 (step @p1744 :rule refl :args (@t877)) % 0.35/0.75 (step @p1745 :rule nary_cong :premises (@p1744 @p1743) :args ((or @t877 (not @t876)))) % 0.35/0.75 (step @p1746 :rule cnf_or_neg :args (@t877 0)) % 0.35/0.75 (step @p1747 :rule eq_resolve :premises (@p1746 @p1745)) % 0.35/0.75 (step @p1748 :rule reordering :premises (@p1747) :args ((or @t875 @t877))) % 0.35/0.75 (step @p1749 :rule chain_m_resolution :premises (@p1748 @p1727) :args (@t875 @t878 @t879)) % 0.35/0.75 (step @p1750 :rule cnf_or_pos :args (@t888)) % 0.35/0.75 (step @p1751 :rule reordering :premises (@p1750) :args ((or @t876 @t885 @t883 @t889))) % 0.35/0.75 (step @p1752 :rule chain_m_resolution :premises (@p1751 @p1749 @p1742 @p1735) :args (@t889 (@list false false true) (@list @t875 @t884 @t883))) % 0.35/0.75 (assume-push @p1761 @t320) % 0.35/0.75 (step @p1754 :rule instantiate :premises (@p1714) :args ((@list @t868 @t882 @t870))) % 0.35/0.75 (step-pop @p1762 :rule scope :premises (@p1754)) % 0.35/0.75 (step @p1755 :rule process_scope :premises (@p1762) :args (@t888)) % 0.35/0.75 (step @p1757 :rule implies_elim :premises (@p1755)) % 0.35/0.75 (step @p1758 false :rule chain_m_resolution :premises (@p1757 @p1752 @p1714) :args (false @t881 (@list @t888 @t320))) % 0.35/0.75 ) % 0.35/0.75 % SZS output end Proof % 0.35/0.75 % cvc5 exiting %------------------------------------------------------------------------------