%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU522^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:52:02 AM UTC 2026 % Result : Theorem 0.37s 0.73s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : SEU522^1 : TPTP v9.2.1. Released v3.7.0. % 0.08/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.36 % Computer : n006.cluster.edu % 0.16/0.36 % Model : x86_64 x86_64 % 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.36 % Memory : 8042.1875MB % 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.36 % CPULimit : 300 % 0.16/0.36 % WCLimit : 300 % 0.16/0.36 % DateTime : Tue Jun 2 17:40:19 EDT 2026 % 0.16/0.36 % CPUTime : % 0.30/0.54 %----Proving TH0 % 0.37/0.73 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.73 % SZS status Theorem % 0.37/0.73 % SZS output start Proof % 0.37/0.73 ( % 0.37/0.73 (declare-sort $$unsorted 0) % 0.37/0.73 (declare-const tptp.emptyset $$unsorted) % 0.37/0.73 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.73 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.37/0.73 (declare-const tptp.powersetE Bool) % 0.37/0.73 (declare-const tptp.emptyInPowerset Bool) % 0.37/0.73 (declare-const tptp.setoftrueEq Bool) % 0.37/0.73 (declare-const tptp.setadjoinOr Bool) % 0.37/0.73 (declare-const tptp.setadjoinE Bool) % 0.37/0.73 (declare-const tptp.emptyinunitempty Bool) % 0.37/0.73 (declare-const tptp.nonemptyI1 Bool) % 0.37/0.73 (declare-const tptp.nonemptyI Bool) % 0.37/0.73 (declare-const tptp.nonemptyE1 Bool) % 0.37/0.73 (declare-const tptp.noeltsimpempty Bool) % 0.37/0.73 (declare-const tptp.emptyI Bool) % 0.37/0.73 (declare-const tptp.omegaIndAx Bool) % 0.37/0.73 (declare-const tptp.omega0Ax Bool) % 0.37/0.73 (declare-const tptp.setadjoinIL Bool) % 0.37/0.73 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.37/0.73 (declare-const tptp.powersetAx Bool) % 0.37/0.73 (declare-const tptp.omegaSAx Bool) % 0.37/0.73 (declare-const tptp.setext Bool) % 0.37/0.73 (declare-const tptp.setadjoinAx Bool) % 0.37/0.73 (declare-const tptp.powersetI Bool) % 0.37/0.73 (declare-const tptp.setbeta Bool) % 0.37/0.73 (declare-const tptp.dsetconstrER Bool) % 0.37/0.73 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.73 (declare-const tptp.setadjoinIR Bool) % 0.37/0.73 (declare-const tptp.notinemptyset Bool) % 0.37/0.73 (declare-const tptp.foundationAx Bool) % 0.37/0.73 (declare-const tptp.setextAx Bool) % 0.37/0.73 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.emptysetAx Bool) % 0.37/0.73 (declare-const tptp.dsetconstrEL Bool) % 0.37/0.73 (declare-const tptp.replAx Bool) % 0.37/0.73 (declare-const tptp.emptysetimpfalse Bool) % 0.37/0.73 (declare-const tptp.wellorderingAx Bool) % 0.37/0.73 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.37/0.73 (declare-const tptp.emptyinPowerset Bool) % 0.37/0.73 (declare-const tptp.exuE1 Bool) % 0.37/0.73 (declare-const tptp.descrp Bool) % 0.37/0.73 (declare-const tptp.dsetconstrI Bool) % 0.37/0.73 (declare-const tptp.omega $$unsorted) % 0.37/0.73 (declare-const tptp.exuE3e Bool) % 0.37/0.73 (declare-const tptp.prop2setE Bool) % 0.37/0.73 (declare-const tptp.setunionAx Bool) % 0.37/0.73 (declare-const tptp.emptysetE Bool) % 0.37/0.73 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.37/0.73 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.37/0.73 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.37/0.73 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.73 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.73 (define @t3 () (= @t2 @t1)) % 0.37/0.73 (define @t4 () (@var "Xx" $$unsorted)) % 0.37/0.73 (define @t5 () (_ tptp.in @t4)) % 0.37/0.73 (define @t6 () (_ @t5 @t1)) % 0.37/0.73 (define @t7 () (_ @t5 @t2)) % 0.37/0.73 (define @t8 () (= @t7 @t6)) % 0.37/0.73 (define @t9 () (@list @t4)) % 0.37/0.73 (define @t10 () (forall @t9 @t8)) % 0.37/0.73 (define @t11 () (=> @t10 @t3)) % 0.37/0.73 (define @t12 () (@list @t2 @t1)) % 0.37/0.73 (define @t13 () (forall @t12 @t11)) % 0.37/0.73 (define @t14 () (= tptp.setextAx @t13)) % 0.37/0.73 (define @t15 () (_ @t5 tptp.emptyset)) % 0.37/0.73 (define @t16 () (not @t15)) % 0.37/0.73 (define @t17 () (forall @t9 @t16)) % 0.37/0.73 (define @t18 () (= tptp.emptysetAx @t17)) % 0.37/0.73 (define @t19 () (@var "Xy" $$unsorted)) % 0.37/0.73 (define @t20 () (_ tptp.in @t19)) % 0.37/0.73 (define @t21 () (_ @t20 @t2)) % 0.37/0.73 (define @t22 () (= @t19 @t4)) % 0.37/0.73 (define @t23 () (or @t22 @t21)) % 0.37/0.73 (define @t24 () (_ tptp.setadjoin @t4)) % 0.37/0.73 (define @t25 () (_ @t24 @t2)) % 0.37/0.73 (define @t26 () (_ @t20 @t25)) % 0.37/0.73 (define @t27 () (= @t26 @t23)) % 0.37/0.73 (define @t28 () (@list @t4 @t2 @t19)) % 0.37/0.73 (define @t29 () (forall @t28 @t27)) % 0.37/0.73 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.37/0.73 (define @t31 () (=> @t6 @t7)) % 0.37/0.73 (define @t32 () (forall @t9 @t31)) % 0.37/0.73 (define @t33 () (_ tptp.powerset @t2)) % 0.37/0.73 (define @t34 () (_ tptp.in @t1)) % 0.37/0.73 (define @t35 () (_ @t34 @t33)) % 0.37/0.73 (define @t36 () (= @t35 @t32)) % 0.37/0.73 (define @t37 () (forall @t12 @t36)) % 0.37/0.73 (define @t38 () (= tptp.powersetAx @t37)) % 0.37/0.73 (define @t39 () (_ @t34 @t2)) % 0.37/0.73 (define @t40 () (and @t6 @t39)) % 0.37/0.73 (define @t41 () (@list @t1)) % 0.37/0.73 (define @t42 () (exists @t41 @t40)) % 0.37/0.73 (define @t43 () (_ tptp.setunion @t2)) % 0.37/0.73 (define @t44 () (_ @t5 @t43)) % 0.37/0.73 (define @t45 () (= @t44 @t42)) % 0.37/0.73 (define @t46 () (@list @t2 @t4)) % 0.37/0.73 (define @t47 () (forall @t46 @t45)) % 0.37/0.73 (define @t48 () (= tptp.setunionAx @t47)) % 0.37/0.73 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.37/0.73 (define @t50 () (_ @t49 tptp.omega)) % 0.37/0.73 (define @t51 () (_ @t24 @t4)) % 0.37/0.73 (define @t52 () (_ tptp.in @t51)) % 0.37/0.73 (define @t53 () (_ @t52 tptp.omega)) % 0.37/0.73 (define @t54 () (_ @t5 tptp.omega)) % 0.37/0.73 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.37/0.73 (define @t56 () (= tptp.omegaSAx @t55)) % 0.37/0.73 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.37/0.73 (define @t58 () (_ @t52 @t2)) % 0.37/0.73 (define @t59 () (and @t54 @t7)) % 0.37/0.73 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.37/0.73 (define @t61 () (_ @t49 @t2)) % 0.37/0.73 (define @t62 () (and @t61 @t60)) % 0.37/0.73 (define @t63 () (=> @t62 @t57)) % 0.37/0.73 (define @t64 () (@list @t2)) % 0.37/0.73 (define @t65 () (forall @t64 @t63)) % 0.37/0.73 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.37/0.73 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.37/0.73 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.37/0.73 (define @t69 () (and @t21 @t68)) % 0.37/0.73 (define @t70 () (@list @t19)) % 0.37/0.73 (define @t71 () (exists @t70 @t69)) % 0.37/0.73 (define @t72 () (= @t6 @t71)) % 0.37/0.73 (define @t73 () (forall @t9 @t72)) % 0.37/0.73 (define @t74 () (exists @t41 @t73)) % 0.37/0.73 (define @t75 () (_ @t67 @t4)) % 0.37/0.73 (define @t76 () (_ @t75 @t19)) % 0.37/0.73 (define @t77 () (lambda @t70 @t76)) % 0.37/0.73 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.37/0.73 (define @t79 () (forall @t9 @t78)) % 0.37/0.73 (define @t80 () (=> @t79 @t74)) % 0.37/0.73 (define @t81 () (@list @t67 @t2)) % 0.37/0.73 (define @t82 () (forall @t81 @t80)) % 0.37/0.73 (define @t83 () (= tptp.replAx @t82)) % 0.37/0.73 (define @t84 () (and @t6 @t7)) % 0.37/0.73 (define @t85 () (exists @t9 @t84)) % 0.37/0.73 (define @t86 () (not @t85)) % 0.37/0.73 (define @t87 () (and @t39 @t86)) % 0.37/0.73 (define @t88 () (exists @t41 @t87)) % 0.37/0.73 (define @t89 () (exists @t9 @t7)) % 0.37/0.73 (define @t90 () (=> @t89 @t88)) % 0.37/0.73 (define @t91 () (forall @t64 @t90)) % 0.37/0.73 (define @t92 () (= tptp.foundationAx @t91)) % 0.37/0.73 (define @t93 () (@var "E" $$unsorted)) % 0.37/0.73 (define @t94 () (_ @t5 @t93)) % 0.37/0.73 (define @t95 () (@var "D" $$unsorted)) % 0.37/0.73 (define @t96 () (_ @t20 @t95)) % 0.37/0.73 (define @t97 () (_ @t20 @t93)) % 0.37/0.73 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.37/0.73 (define @t99 () (or @t98 @t94)) % 0.37/0.73 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.37/0.73 (define @t101 () (=> @t100 @t99)) % 0.37/0.73 (define @t102 () (@list @t93)) % 0.37/0.73 (define @t103 () (forall @t102 @t101)) % 0.37/0.73 (define @t104 () (@var "C" $$unsorted)) % 0.37/0.73 (define @t105 () (_ @t20 @t104)) % 0.37/0.73 (define @t106 () (and @t96 @t105)) % 0.37/0.73 (define @t107 () (exists @t70 @t106)) % 0.37/0.73 (define @t108 () (not @t107)) % 0.37/0.73 (define @t109 () (_ @t5 @t104)) % 0.37/0.73 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.37/0.73 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.37/0.73 (define @t112 () (@list @t95 @t4)) % 0.37/0.73 (define @t113 () (exists @t112 @t111)) % 0.37/0.73 (define @t114 () (exists @t9 @t109)) % 0.37/0.73 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.37/0.73 (define @t116 () (and @t115 @t114)) % 0.37/0.73 (define @t117 () (=> @t116 @t113)) % 0.37/0.73 (define @t118 () (@list @t104)) % 0.37/0.73 (define @t119 () (forall @t118 @t117)) % 0.37/0.73 (define @t120 () (_ @t5 @t95)) % 0.37/0.73 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.37/0.73 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.37/0.73 (define @t123 () (or @t122 @t121)) % 0.37/0.73 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.37/0.73 (define @t125 () (and @t124 @t110)) % 0.37/0.73 (define @t126 () (=> @t125 @t123)) % 0.37/0.73 (define @t127 () (@list @t104 @t95)) % 0.37/0.73 (define @t128 () (forall @t127 @t126)) % 0.37/0.73 (define @t129 () (= @t4 @t19)) % 0.37/0.73 (define @t130 () (= @t109 @t105)) % 0.37/0.73 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.37/0.73 (define @t132 () (=> @t131 @t129)) % 0.37/0.73 (define @t133 () (and @t7 @t21)) % 0.37/0.73 (define @t134 () (=> @t133 @t132)) % 0.37/0.73 (define @t135 () (@list @t4 @t19)) % 0.37/0.73 (define @t136 () (forall @t135 @t134)) % 0.37/0.73 (define @t137 () (=> @t124 @t115)) % 0.37/0.73 (define @t138 () (forall @t118 @t137)) % 0.37/0.73 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.37/0.73 (define @t140 () (exists @t41 @t139)) % 0.37/0.73 (define @t141 () (forall @t64 @t140)) % 0.37/0.73 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.37/0.73 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.37/0.73 (define @t144 () (_ @t143 @t4)) % 0.37/0.73 (define @t145 () (lambda @t9 @t144)) % 0.37/0.73 (define @t146 () (_ tptp.descr @t145)) % 0.37/0.73 (define @t147 () (_ @t143 @t146)) % 0.37/0.73 (define @t148 () (_ tptp.exu @t145)) % 0.37/0.73 (define @t149 () (=> @t148 @t147)) % 0.37/0.73 (define @t150 () (@list @t143)) % 0.37/0.73 (define @t151 () (forall @t150 @t149)) % 0.37/0.73 (define @t152 () (= tptp.descrp @t151)) % 0.37/0.73 (define @t153 () (_ @t143 @t19)) % 0.37/0.73 (define @t154 () (lambda @t70 @t153)) % 0.37/0.73 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.37/0.73 (define @t156 () (_ @t155 @t154)) % 0.37/0.73 (define @t157 () (_ @t5 @t156)) % 0.37/0.73 (define @t158 () (=> @t144 @t157)) % 0.37/0.73 (define @t159 () (@list @t2 @t143 @t4)) % 0.37/0.73 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.37/0.73 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.37/0.73 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.37/0.73 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.37/0.73 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.37/0.73 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.37/0.73 (define @t166 () (forall @t70 (=> @t153 @t129))) % 0.37/0.73 (define @t167 () (and @t144 @t166)) % 0.37/0.73 (define @t168 () (exists @t9 @t167)) % 0.37/0.73 (define @t169 () (=> @t148 @t168)) % 0.37/0.73 (define @t170 () (forall @t150 @t169)) % 0.37/0.73 (define @t171 () (= tptp.exuE1 @t170)) % 0.37/0.73 (define @t172 () (@var "Xphi" Bool)) % 0.37/0.73 (define @t173 () (=> (_ @t5 (_ tptp.prop2set @t172)) @t172)) % 0.37/0.73 (define @t174 () (@list @t172 @t4)) % 0.37/0.73 (define @t175 () (forall @t174 @t173)) % 0.37/0.73 (define @t176 () (= tptp.prop2setE @t175)) % 0.37/0.73 (define @t177 () (@list @t172)) % 0.37/0.73 (define @t178 () (forall @t177 @t172)) % 0.37/0.73 (define @t179 () (=> @t15 @t178)) % 0.37/0.73 (define @t180 () (forall @t9 @t179)) % 0.37/0.73 (define @t181 () (= tptp.emptysetE @t180)) % 0.37/0.73 (define @t182 () (forall @t9 (=> @t15 false))) % 0.37/0.73 (define @t183 () (= tptp.emptysetimpfalse @t182)) % 0.37/0.73 (define @t184 () (exists @t9 @t144)) % 0.37/0.73 (define @t185 () (=> @t148 @t184)) % 0.37/0.73 (define @t186 () (forall @t150 @t185)) % 0.37/0.73 (define @t187 () (= tptp.exuE3e @t186)) % 0.37/0.73 (define @t188 () (=> @t32 @t3)) % 0.37/0.73 (define @t189 () (forall @t9 (=> @t7 @t6))) % 0.37/0.73 (define @t190 () (=> @t189 @t188)) % 0.37/0.73 (define @t191 () (forall @t12 @t190)) % 0.37/0.73 (define @t192 () (= tptp.setext @t191)) % 0.37/0.73 (define @t193 () (= @t2 tptp.emptyset)) % 0.37/0.73 (define @t194 () (not @t7)) % 0.37/0.73 (define @t195 () (forall @t9 @t194)) % 0.37/0.73 (define @t196 () (=> @t195 @t193)) % 0.37/0.73 (define @t197 () (forall @t64 @t196)) % 0.37/0.73 (define @t198 () (= tptp.emptyI @t197)) % 0.37/0.73 (define @t199 () (=> @t7 (= @t157 @t144))) % 0.37/0.73 (define @t200 () (forall @t159 @t199)) % 0.37/0.73 (define @t201 () (= tptp.setbeta @t200)) % 0.37/0.73 (define @t202 () (_ tptp.nonempty @t2)) % 0.37/0.73 (define @t203 () (=> @t202 @t89)) % 0.37/0.73 (define @t204 () (forall @t64 @t203)) % 0.37/0.73 (define @t205 () (= tptp.nonemptyE1 @t204)) % 0.37/0.73 (define @t206 () (=> @t144 (_ tptp.nonempty @t156))) % 0.37/0.73 (define @t207 () (=> @t7 @t206)) % 0.37/0.73 (define @t208 () (forall @t159 @t207)) % 0.37/0.73 (define @t209 () (= tptp.nonemptyI @t208)) % 0.37/0.73 (define @t210 () (=> @t89 @t202)) % 0.37/0.73 (define @t211 () (forall @t64 @t210)) % 0.37/0.73 (define @t212 () (= tptp.nonemptyI1 @t211)) % 0.37/0.73 (define @t213 () (_ @t24 @t19)) % 0.37/0.73 (define @t214 () (_ @t5 @t213)) % 0.37/0.73 (define @t215 () (forall @t135 @t214)) % 0.37/0.73 (define @t216 () (= tptp.setadjoinIL @t215)) % 0.37/0.73 (define @t217 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.37/0.73 (define @t218 () (_ @t49 @t217)) % 0.37/0.73 (define @t219 () (forall @t28 (=> @t21 @t26))) % 0.37/0.73 (define @t220 () (= tptp.setadjoinIR @t219)) % 0.37/0.73 (define @t221 () (=> @t21 @t172)) % 0.37/0.73 (define @t222 () (=> @t221 @t172)) % 0.37/0.73 (define @t223 () (=> @t22 @t172)) % 0.37/0.73 (define @t224 () (=> @t223 @t222)) % 0.37/0.73 (define @t225 () (forall @t177 @t224)) % 0.37/0.73 (define @t226 () (=> @t26 @t225)) % 0.37/0.73 (define @t227 () (forall @t28 @t226)) % 0.37/0.73 (define @t228 () (= tptp.setadjoinE @t227)) % 0.37/0.73 (define @t229 () (=> @t26 @t23)) % 0.37/0.73 (define @t230 () (forall @t28 @t229)) % 0.37/0.73 (define @t231 () (= tptp.setadjoinOr @t230)) % 0.37/0.73 (define @t232 () (lambda @t9 true)) % 0.37/0.73 (define @t233 () (= (_ @t155 @t232) @t2)) % 0.37/0.73 (define @t234 () (forall @t64 @t233)) % 0.37/0.73 (define @t235 () (= tptp.setoftrueEq @t234)) % 0.37/0.73 (define @t236 () (=> @t32 @t35)) % 0.37/0.73 (define @t237 () (forall @t12 @t236)) % 0.37/0.73 (define @t238 () (= tptp.powersetI @t237)) % 0.37/0.73 (define @t239 () (_ @t49 @t33)) % 0.37/0.73 (define @t240 () (forall @t64 @t239)) % 0.37/0.73 (define @t241 () (= tptp.emptyinPowerset @t240)) % 0.37/0.73 (define @t242 () (@list @t2 @t1 @t4)) % 0.37/0.73 (define @t243 () (forall @t242 (=> @t35 @t31))) % 0.37/0.73 (define @t244 () (= tptp.powersetE @t243)) % 0.37/0.73 (define @t245 () (=> @t39 @t44)) % 0.37/0.73 (define @t246 () (@list @t2 @t4 @t1)) % 0.37/0.73 (define @t247 () (forall @t246 (=> @t6 @t245))) % 0.37/0.73 (define @t248 () (=> tptp.powersetE @t247)) % 0.37/0.73 (define @t249 () (=> tptp.emptyInPowerset @t248)) % 0.37/0.73 (define @t250 () (=> tptp.emptyinPowerset @t249)) % 0.37/0.73 (define @t251 () (=> tptp.powersetI @t250)) % 0.37/0.73 (define @t252 () (=> tptp.setoftrueEq @t251)) % 0.37/0.73 (define @t253 () (=> tptp.setadjoinOr @t252)) % 0.37/0.73 (define @t254 () (=> tptp.setadjoinE @t253)) % 0.37/0.73 (define @t255 () (=> tptp.setadjoinIR @t254)) % 0.37/0.73 (define @t256 () (=> tptp.emptyinunitempty @t255)) % 0.37/0.73 (define @t257 () (=> tptp.setadjoinIL @t256)) % 0.37/0.73 (define @t258 () (=> tptp.nonemptyI1 @t257)) % 0.37/0.73 (define @t259 () (=> tptp.nonemptyI @t258)) % 0.37/0.73 (define @t260 () (=> tptp.nonemptyE1 @t259)) % 0.37/0.73 (define @t261 () (=> tptp.setbeta @t260)) % 0.37/0.73 (define @t262 () (=> tptp.noeltsimpempty @t261)) % 0.37/0.73 (define @t263 () (=> tptp.emptyI @t262)) % 0.37/0.73 (define @t264 () (=> tptp.setext @t263)) % 0.37/0.73 (define @t265 () (=> tptp.exuE3e @t264)) % 0.37/0.73 (define @t266 () (=> tptp.notinemptyset @t265)) % 0.37/0.73 (define @t267 () (=> tptp.emptysetimpfalse @t266)) % 0.37/0.73 (define @t268 () (=> tptp.emptysetE @t267)) % 0.37/0.73 (define @t269 () (=> tptp.prop2setE @t268)) % 0.37/0.73 (define @t270 () (=> tptp.exuE1 @t269)) % 0.37/0.73 (define @t271 () (=> tptp.dsetconstrER @t270)) % 0.37/0.73 (define @t272 () (=> tptp.dsetconstrEL @t271)) % 0.37/0.73 (define @t273 () (=> tptp.dsetconstrI @t272)) % 0.37/0.73 (define @t274 () (=> tptp.descrp @t273)) % 0.37/0.73 (define @t275 () (=> tptp.wellorderingAx @t274)) % 0.37/0.73 (define @t276 () (=> tptp.foundationAx @t275)) % 0.37/0.73 (define @t277 () (=> tptp.replAx @t276)) % 0.37/0.73 (define @t278 () (=> tptp.omegaIndAx @t277)) % 0.37/0.73 (define @t279 () (=> tptp.omegaSAx @t278)) % 0.37/0.73 (define @t280 () (=> tptp.omega0Ax @t279)) % 0.37/0.73 (define @t281 () (=> tptp.setunionAx @t280)) % 0.37/0.73 (define @t282 () (=> tptp.powersetAx @t281)) % 0.37/0.73 (define @t283 () (=> tptp.setadjoinAx @t282)) % 0.37/0.73 (define @t284 () (=> tptp.emptysetAx @t283)) % 0.37/0.73 (define @t285 () (=> tptp.setextAx @t284)) % 0.37/0.73 (define @t286 () (not @t285)) % 0.37/0.73 (define @t287 () (lambda @t150 @t168)) % 0.37/0.73 (define @t288 () (lambda @t9 @t172)) % 0.37/0.73 (define @t289 () (_ tptp.powerset tptp.emptyset)) % 0.37/0.73 (define @t290 () (_ tptp.dsetconstr @t289)) % 0.37/0.73 (define @t291 () (_ @t290 @t288)) % 0.37/0.73 (define @t292 () (lambda @t177 @t291)) % 0.37/0.73 (define @t293 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.37/0.73 (define @t294 () (tptp.setunion @t2)) % 0.37/0.73 (define @t295 () (tptp.in @t4 @t294)) % 0.37/0.73 (define @t296 () (tptp.in @t1 @t2)) % 0.37/0.73 (define @t297 () (not @t296)) % 0.37/0.73 (define @t298 () (tptp.in @t4 @t1)) % 0.37/0.73 (define @t299 () (not @t298)) % 0.37/0.73 (define @t300 () (forall @t246 (or @t299 @t297 @t295))) % 0.37/0.73 (define @t301 () (tptp.in @t4 @t2)) % 0.37/0.73 (define @t302 () (tptp.powerset @t2)) % 0.37/0.73 (define @t303 () (tptp.in @t1 @t302)) % 0.37/0.73 (define @t304 () (tptp.in tptp.emptyset @t302)) % 0.37/0.73 (define @t305 () (forall @t64 @t304)) % 0.37/0.73 (define @t306 () (forall @t9 (or @t299 @t301))) % 0.37/0.73 (define @t307 () (not @t306)) % 0.37/0.73 (define @t308 () (@var "BOUND_VARIABLE_15044" $$unsorted)) % 0.37/0.73 (define @t309 () (lambda (@list @t308) true)) % 0.37/0.73 (define @t310 () (tptp.dsetconstr @t2 @t309)) % 0.37/0.73 (define @t311 () (tptp.in @t19 @t2)) % 0.37/0.73 (define @t312 () (tptp.setadjoin @t4 @t2)) % 0.37/0.73 (define @t313 () (tptp.in @t19 @t312)) % 0.37/0.73 (define @t314 () (forall @t28 (or (not @t313) @t129 @t311))) % 0.37/0.73 (define @t315 () (not @t311)) % 0.37/0.73 (define @t316 () (=> (forall @t28 (or @t315 @t313)) (=> @t314 (=> @t314 (=> (forall @t64 (= @t2 @t310)) (=> (forall @t12 (or @t307 @t303)) (=> @t305 (=> @t305 (=> (forall @t242 (or (not @t303) @t299 @t301)) @t300))))))))) % 0.37/0.73 (define @t317 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.37/0.73 (define @t318 () (tptp.in tptp.emptyset @t317)) % 0.37/0.73 (define @t319 () (=> @t218 @t316)) % 0.37/0.73 (define @t320 () (tptp.setadjoin @t4 @t19)) % 0.37/0.73 (define @t321 () (tptp.in @t4 @t320)) % 0.37/0.73 (define @t322 () (forall @t135 @t321)) % 0.37/0.73 (define @t323 () (=> @t322 @t319)) % 0.37/0.73 (define @t324 () (@var "BOUND_VARIABLE_8505" $$unsorted)) % 0.37/0.73 (define @t325 () (not (tptp.in @t324 tptp.emptyset))) % 0.37/0.73 (define @t326 () (@list @t324)) % 0.37/0.73 (define @t327 () (forall @t326 @t325)) % 0.37/0.73 (define @t328 () (=> @t327 @t323)) % 0.37/0.73 (define @t329 () (tptp.dsetconstr @t2 @t143)) % 0.37/0.73 (define @t330 () (_ @t143 @t4)) % 0.37/0.73 (define @t331 () (not @t330)) % 0.37/0.73 (define @t332 () (not @t301)) % 0.37/0.73 (define @t333 () (forall @t159 (or @t332 @t331 (not (= tptp.emptyset @t329))))) % 0.37/0.73 (define @t334 () (=> @t333 @t328)) % 0.37/0.73 (define @t335 () (forall @t9 @t332)) % 0.37/0.73 (define @t336 () (not @t335)) % 0.37/0.73 (define @t337 () (forall @t64 (or @t193 @t336))) % 0.37/0.73 (define @t338 () (=> @t337 @t334)) % 0.37/0.73 (define @t339 () (tptp.in @t4 @t329)) % 0.37/0.73 (define @t340 () (forall @t159 (or @t332 (= @t330 @t339)))) % 0.37/0.73 (define @t341 () (=> @t340 @t338)) % 0.37/0.73 (define @t342 () (forall @t64 (or @t336 @t193))) % 0.37/0.73 (define @t343 () (=> @t342 @t341)) % 0.37/0.73 (define @t344 () (=> @t342 @t343)) % 0.37/0.73 (define @t345 () (forall @t9 (or @t332 @t298))) % 0.37/0.73 (define @t346 () (not @t345)) % 0.37/0.73 (define @t347 () (or @t346 @t307 @t3)) % 0.37/0.73 (define @t348 () (forall @t12 @t347)) % 0.37/0.73 (define @t349 () (=> @t348 @t344)) % 0.37/0.73 (define @t350 () (@var "BOUND_VARIABLE_8402" $$unsorted)) % 0.37/0.73 (define @t351 () (_ @t143 @t19)) % 0.37/0.73 (define @t352 () (not @t351)) % 0.37/0.73 (define @t353 () (not (_ @t143 @t350))) % 0.37/0.73 (define @t354 () (not (forall @t9 @t331))) % 0.37/0.73 (define @t355 () (@list @t143 @t350)) % 0.37/0.73 (define @t356 () (forall @t355 (or @t354 @t353 (not (forall @t70 (or @t352 (= @t19 @t350))))))) % 0.37/0.73 (define @t357 () (=> @t356 @t349)) % 0.37/0.73 (define @t358 () (tptp.in @t4 tptp.emptyset)) % 0.37/0.73 (define @t359 () (forall @t9 (not @t358))) % 0.37/0.73 (define @t360 () (=> @t359 @t357)) % 0.37/0.73 (define @t361 () (=> @t359 @t360)) % 0.37/0.73 (define @t362 () (=> @t359 @t361)) % 0.37/0.73 (define @t363 () (@var "BOUND_VARIABLE_14613" $$unsorted)) % 0.37/0.73 (define @t364 () (lambda (@list @t363) false)) % 0.37/0.73 (define @t365 () (tptp.powerset tptp.emptyset)) % 0.37/0.73 (define @t366 () (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t365 @t364))))) % 0.37/0.73 (define @t367 () (=> @t366 @t362)) % 0.37/0.73 (define @t368 () (not @t339)) % 0.37/0.73 (define @t369 () (forall @t159 (or @t368 @t330))) % 0.37/0.73 (define @t370 () (=> @t369 @t367)) % 0.37/0.73 (define @t371 () (forall @t159 (or @t368 @t301))) % 0.37/0.73 (define @t372 () (=> @t371 @t370)) % 0.37/0.73 (define @t373 () (forall @t159 (or @t332 @t331 @t339))) % 0.37/0.73 (define @t374 () (=> @t373 @t372)) % 0.37/0.73 (define @t375 () (@var "BOUND_VARIABLE_8273" $$unsorted)) % 0.37/0.73 (define @t376 () (not (_ @t143 @t375))) % 0.37/0.73 (define @t377 () (_ @t143 (tptp.descr @t143))) % 0.37/0.73 (define @t378 () (@list @t143 @t375)) % 0.37/0.73 (define @t379 () (forall @t378 (or @t377 @t376 (not (forall @t70 (or @t352 (= @t19 @t375))))))) % 0.37/0.73 (define @t380 () (=> @t379 @t374)) % 0.37/0.73 (define @t381 () (@var "BOUND_VARIABLE_8193" $$unsorted)) % 0.37/0.73 (define @t382 () (tptp.in @t381 @t95)) % 0.37/0.73 (define @t383 () (not (tptp.in @t381 @t93))) % 0.37/0.73 (define @t384 () (tptp.in @t4 @t93)) % 0.37/0.73 (define @t385 () (tptp.in @t93 @t1)) % 0.37/0.73 (define @t386 () (not @t385)) % 0.37/0.73 (define @t387 () (or @t386 @t384 @t383 @t382)) % 0.37/0.73 (define @t388 () (@list @t93 @t381)) % 0.37/0.73 (define @t389 () (forall @t388 @t387)) % 0.37/0.73 (define @t390 () (not @t389)) % 0.37/0.73 (define @t391 () (tptp.in @t19 @t104)) % 0.37/0.73 (define @t392 () (tptp.in @t19 @t95)) % 0.37/0.73 (define @t393 () (forall @t70 (or (not @t392) (not @t391)))) % 0.37/0.73 (define @t394 () (not @t393)) % 0.37/0.73 (define @t395 () (tptp.in @t4 @t104)) % 0.37/0.73 (define @t396 () (not @t395)) % 0.37/0.73 (define @t397 () (tptp.in @t95 @t1)) % 0.37/0.73 (define @t398 () (not @t397)) % 0.37/0.73 (define @t399 () (not (forall @t112 (or @t398 @t396 @t394 @t390)))) % 0.37/0.73 (define @t400 () (@var "BOUND_VARIABLE_8222" $$unsorted)) % 0.37/0.73 (define @t401 () (not (tptp.in @t400 @t104))) % 0.37/0.73 (define @t402 () (forall @t9 (or @t396 @t301))) % 0.37/0.73 (define @t403 () (not @t402)) % 0.37/0.73 (define @t404 () (or @t403 @t401 @t399)) % 0.37/0.73 (define @t405 () (forall (@list @t104 @t400) @t404)) % 0.37/0.73 (define @t406 () (not @t405)) % 0.37/0.73 (define @t407 () (@var "BOUND_VARIABLE_8145" $$unsorted)) % 0.37/0.73 (define @t408 () (tptp.in @t407 @t104)) % 0.37/0.73 (define @t409 () (not (tptp.in @t407 @t95))) % 0.37/0.73 (define @t410 () (@var "BOUND_VARIABLE_8139" $$unsorted)) % 0.37/0.73 (define @t411 () (tptp.in @t410 @t95)) % 0.37/0.73 (define @t412 () (not (tptp.in @t410 @t104))) % 0.37/0.73 (define @t413 () (tptp.in @t104 @t1)) % 0.37/0.73 (define @t414 () (not @t413)) % 0.37/0.73 (define @t415 () (or @t414 @t398 @t412 @t411 @t409 @t408)) % 0.37/0.73 (define @t416 () (@list @t104 @t95 @t410 @t407)) % 0.37/0.73 (define @t417 () (forall @t416 @t415)) % 0.37/0.73 (define @t418 () (not @t417)) % 0.37/0.73 (define @t419 () (forall @t118 (or @t414 (= @t395 @t391)))) % 0.37/0.73 (define @t420 () (not @t419)) % 0.37/0.73 (define @t421 () (forall @t135 (or @t332 @t315 @t420 @t129))) % 0.37/0.73 (define @t422 () (not @t421)) % 0.37/0.73 (define @t423 () (@var "BOUND_VARIABLE_8088" $$unsorted)) % 0.37/0.73 (define @t424 () (tptp.in @t423 @t2)) % 0.37/0.73 (define @t425 () (not (tptp.in @t423 @t104))) % 0.37/0.73 (define @t426 () (or @t414 @t425 @t424)) % 0.37/0.73 (define @t427 () (@list @t104 @t423)) % 0.37/0.73 (define @t428 () (forall @t427 @t426)) % 0.37/0.73 (define @t429 () (not @t428)) % 0.37/0.73 (define @t430 () (or @t429 @t422 @t418 @t406)) % 0.37/0.73 (define @t431 () (forall @t64 (not (forall @t41 @t430)))) % 0.37/0.73 (define @t432 () (=> @t431 @t380)) % 0.37/0.73 (define @t433 () (forall @t9 (or @t299 @t332))) % 0.37/0.73 (define @t434 () (not @t433)) % 0.37/0.73 (define @t435 () (not (forall @t41 (or @t297 @t434)))) % 0.37/0.73 (define @t436 () (@var "BOUND_VARIABLE_8063" $$unsorted)) % 0.37/0.73 (define @t437 () (not (tptp.in @t436 @t2))) % 0.37/0.73 (define @t438 () (or @t437 @t435)) % 0.37/0.73 (define @t439 () (forall (@list @t2 @t436) @t438)) % 0.37/0.73 (define @t440 () (=> @t439 @t432)) % 0.37/0.73 (define @t441 () (_ @t67 @t19 @t4)) % 0.37/0.73 (define @t442 () (not (forall @t70 (or @t315 (not @t441))))) % 0.37/0.73 (define @t443 () (forall @t9 (= @t298 @t442))) % 0.37/0.73 (define @t444 () (not (forall @t41 (not @t443)))) % 0.37/0.73 (define @t445 () (@var "BOUND_VARIABLE_7953" $$unsorted)) % 0.37/0.73 (define @t446 () (= @t19 @t445)) % 0.37/0.73 (define @t447 () (_ @t67 @t4 @t19)) % 0.37/0.73 (define @t448 () (not (forall @t70 (or (not @t447) @t446)))) % 0.37/0.73 (define @t449 () (_ @t67 @t4 @t445)) % 0.37/0.73 (define @t450 () (@list @t445)) % 0.37/0.73 (define @t451 () (not (forall @t450 (or (not @t449) @t448)))) % 0.37/0.73 (define @t452 () (forall @t9 (or @t332 @t451))) % 0.37/0.73 (define @t453 () (forall @t81 (or (not @t452) @t444))) % 0.37/0.73 (define @t454 () (=> @t453 @t440)) % 0.37/0.73 (define @t455 () (@var "BOUND_VARIABLE_7934" $$unsorted)) % 0.37/0.73 (define @t456 () (tptp.in @t455 @t2)) % 0.37/0.73 (define @t457 () (not (tptp.in @t455 tptp.omega))) % 0.37/0.73 (define @t458 () (tptp.setadjoin @t4 @t4)) % 0.37/0.73 (define @t459 () (tptp.in @t458 @t2)) % 0.37/0.73 (define @t460 () (tptp.in @t4 tptp.omega)) % 0.37/0.73 (define @t461 () (not @t460)) % 0.37/0.73 (define @t462 () (forall @t9 (or @t461 @t332 @t459))) % 0.37/0.73 (define @t463 () (not @t462)) % 0.37/0.73 (define @t464 () (tptp.in tptp.emptyset @t2)) % 0.37/0.73 (define @t465 () (not @t464)) % 0.37/0.73 (define @t466 () (or @t465 @t463 @t457 @t456)) % 0.37/0.73 (define @t467 () (@list @t2 @t455)) % 0.37/0.73 (define @t468 () (forall @t467 @t466)) % 0.37/0.73 (define @t469 () (=> @t468 @t454)) % 0.37/0.73 (define @t470 () (tptp.in @t458 tptp.omega)) % 0.37/0.73 (define @t471 () (forall @t9 (or @t461 @t470))) % 0.37/0.73 (define @t472 () (=> @t471 @t469)) % 0.37/0.73 (define @t473 () (tptp.in tptp.emptyset tptp.omega)) % 0.37/0.73 (define @t474 () (=> @t50 @t472)) % 0.37/0.73 (define @t475 () (not (forall @t41 (or @t299 @t297)))) % 0.37/0.73 (define @t476 () (forall @t46 (= @t475 @t295))) % 0.37/0.73 (define @t477 () (=> @t476 @t474)) % 0.37/0.73 (define @t478 () (forall @t12 (= @t306 @t303))) % 0.37/0.73 (define @t479 () (=> @t478 @t477)) % 0.37/0.73 (define @t480 () (or @t129 @t311)) % 0.37/0.73 (define @t481 () (forall @t28 (= @t313 @t480))) % 0.37/0.73 (define @t482 () (=> @t481 @t479)) % 0.37/0.73 (define @t483 () (=> @t359 @t482)) % 0.37/0.73 (define @t484 () (forall @t9 (= @t301 @t298))) % 0.37/0.73 (define @t485 () (forall @t12 (or (not @t484) @t3))) % 0.37/0.73 (define @t486 () (=> @t485 @t483)) % 0.37/0.73 (define @t487 () (=> @t369 (=> true @t367))) % 0.37/0.73 (define @t488 () (=> @t371 @t487)) % 0.37/0.73 (define @t489 () (=> @t373 @t488)) % 0.37/0.73 (define @t490 () (=> @t379 @t489)) % 0.37/0.73 (define @t491 () (=> @t431 @t490)) % 0.37/0.73 (define @t492 () (=> @t439 @t491)) % 0.37/0.73 (define @t493 () (=> @t453 @t492)) % 0.37/0.73 (define @t494 () (=> @t468 @t493)) % 0.37/0.73 (define @t495 () (=> @t471 @t494)) % 0.37/0.73 (define @t496 () (=> @t50 @t495)) % 0.37/0.73 (define @t497 () (=> @t476 @t496)) % 0.37/0.73 (define @t498 () (=> @t478 @t497)) % 0.37/0.73 (define @t499 () (=> @t481 @t498)) % 0.37/0.73 (define @t500 () (=> @t359 @t499)) % 0.37/0.73 (define @t501 () (=> @t485 @t500)) % 0.37/0.73 (define @t502 () (not @t6)) % 0.37/0.73 (define @t503 () (not @t35)) % 0.37/0.73 (define @t504 () (or @t503 @t502 @t7)) % 0.37/0.73 (define @t505 () (or @t502 @t7)) % 0.37/0.73 (define @t506 () (=> tptp.powersetE @t300)) % 0.37/0.73 (define @t507 () (=> tptp.emptyInPowerset @t506)) % 0.37/0.73 (define @t508 () (=> tptp.emptyinPowerset @t507)) % 0.37/0.73 (define @t509 () (or @t307 @t35)) % 0.37/0.73 (define @t510 () (=> tptp.powersetI @t508)) % 0.37/0.73 (define @t511 () (_ @t155 @t309)) % 0.37/0.73 (define @t512 () (= @t2 @t511)) % 0.37/0.73 (define @t513 () (@list @t4)) % 0.37/0.73 (define @t514 () (=> tptp.setoftrueEq @t510)) % 0.37/0.73 (define @t515 () (not @t26)) % 0.37/0.73 (define @t516 () (or @t515 @t129 @t21)) % 0.37/0.73 (define @t517 () (or @t129 @t21)) % 0.37/0.73 (define @t518 () (=> tptp.setadjoinOr @t514)) % 0.37/0.73 (define @t519 () (or @t515 @t129 @t311)) % 0.37/0.73 (define @t520 () (not false)) % 0.37/0.73 (define @t521 () (and @t311 @t520)) % 0.37/0.73 (define @t522 () (and @t129 @t520)) % 0.37/0.73 (define @t523 () (or @t522 @t521)) % 0.37/0.73 (define @t524 () (or @t522 @t521 false)) % 0.37/0.73 (define @t525 () (not @t172)) % 0.37/0.73 (define @t526 () (and @t311 @t525)) % 0.37/0.73 (define @t527 () (and @t129 @t525)) % 0.37/0.73 (define @t528 () (not (= @t172 false))) % 0.37/0.73 (define @t529 () (or @t172 @t527 @t526 @t172)) % 0.37/0.73 (define @t530 () (or @t527 @t526 @t172)) % 0.37/0.73 (define @t531 () (and @t21 @t525)) % 0.37/0.73 (define @t532 () (or @t527 @t531 @t172)) % 0.37/0.73 (define @t533 () (=> @t129 @t172)) % 0.37/0.73 (define @t534 () (=> tptp.setadjoinE @t518)) % 0.37/0.73 (define @t535 () (not @t21)) % 0.37/0.73 (define @t536 () (or @t535 @t26)) % 0.37/0.73 (define @t537 () (=> tptp.setadjoinIR @t534)) % 0.37/0.73 (define @t538 () (=> tptp.emptyinunitempty @t537)) % 0.37/0.73 (define @t539 () (=> tptp.setadjoinIL @t538)) % 0.37/0.73 (define @t540 () (not (= tptp.emptyset tptp.emptyset))) % 0.37/0.73 (define @t541 () (or @t325 @t540)) % 0.37/0.73 (define @t542 () (not @t193)) % 0.37/0.73 (define @t543 () (not (tptp.in @t324 @t2))) % 0.37/0.73 (define @t544 () (or @t542 @t543 @t542)) % 0.37/0.73 (define @t545 () (or @t543 @t542)) % 0.37/0.73 (define @t546 () (forall @t64 @t545)) % 0.37/0.73 (define @t547 () (forall @t326 @t546)) % 0.37/0.73 (define @t548 () (forall (@list @t324 @t2) @t545)) % 0.37/0.73 (define @t549 () (forall (@list @t2 @t324) @t545)) % 0.37/0.73 (define @t550 () (forall @t326 @t545)) % 0.37/0.73 (define @t551 () (forall @t326 @t543)) % 0.37/0.73 (define @t552 () (or @t551 @t542)) % 0.37/0.73 (define @t553 () (not @t336)) % 0.37/0.73 (define @t554 () (_ @t293 @t2)) % 0.37/0.73 (define @t555 () (not @t195)) % 0.37/0.73 (define @t556 () (=> @t89 @t554)) % 0.37/0.73 (define @t557 () (forall @t64 @t556)) % 0.37/0.73 (define @t558 () (=> tptp.nonemptyI1 @t539)) % 0.37/0.73 (define @t559 () (lambda @t70 @t351)) % 0.37/0.73 (define @t560 () (tptp.dsetconstr @t2 @t559)) % 0.37/0.73 (define @t561 () (= tptp.emptyset @t560)) % 0.37/0.73 (define @t562 () (not @t561)) % 0.37/0.73 (define @t563 () (or @t332 @t331 @t562)) % 0.37/0.73 (define @t564 () (= tptp.emptyset @t156)) % 0.37/0.73 (define @t565 () (not @t564)) % 0.37/0.73 (define @t566 () (not @t144)) % 0.37/0.73 (define @t567 () (or @t194 @t566 @t565)) % 0.37/0.73 (define @t568 () (=> @t144 @t565)) % 0.37/0.73 (define @t569 () (not (= @t156 tptp.emptyset))) % 0.37/0.73 (define @t570 () (_ @t293 @t156)) % 0.37/0.73 (define @t571 () (=> @t144 @t570)) % 0.37/0.73 (define @t572 () (=> @t7 @t571)) % 0.37/0.73 (define @t573 () (forall @t159 @t572)) % 0.37/0.73 (define @t574 () (=> tptp.nonemptyI @t558)) % 0.37/0.73 (define @t575 () (=> @t554 @t89)) % 0.37/0.73 (define @t576 () (forall @t64 @t575)) % 0.37/0.73 (define @t577 () (=> tptp.nonemptyE1 @t574)) % 0.37/0.73 (define @t578 () (tptp.in @t4 @t560)) % 0.37/0.73 (define @t579 () (= @t330 @t578)) % 0.37/0.73 (define @t580 () (or @t332 @t579)) % 0.37/0.73 (define @t581 () (= @t144 @t157)) % 0.37/0.73 (define @t582 () (or @t194 @t581)) % 0.37/0.73 (define @t583 () (=> tptp.setbeta @t577)) % 0.37/0.73 (define @t584 () (=> tptp.noeltsimpempty @t583)) % 0.37/0.73 (define @t585 () (=> tptp.emptyI @t584)) % 0.37/0.73 (define @t586 () (=> @t306 @t3)) % 0.37/0.73 (define @t587 () (or @t194 @t6)) % 0.37/0.73 (define @t588 () (=> tptp.setext @t585)) % 0.37/0.73 (define @t589 () (or @t352 (= @t350 @t19))) % 0.37/0.73 (define @t590 () (forall @t70 @t589)) % 0.37/0.73 (define @t591 () (not @t590)) % 0.37/0.73 (define @t592 () (or @t354 @t353 @t591)) % 0.37/0.73 (define @t593 () (or @t353 @t591)) % 0.37/0.73 (define @t594 () (or @t593 @t354)) % 0.37/0.73 (define @t595 () (forall @t355 @t594)) % 0.37/0.73 (define @t596 () (@list @t350)) % 0.37/0.73 (define @t597 () (forall @t596 @t594)) % 0.37/0.73 (define @t598 () (forall @t596 @t593)) % 0.37/0.73 (define @t599 () (or @t598 @t354)) % 0.37/0.73 (define @t600 () (forall @t70 (or @t352 @t129))) % 0.37/0.73 (define @t601 () (not @t600)) % 0.37/0.73 (define @t602 () (forall @t9 (or @t331 @t601))) % 0.37/0.73 (define @t603 () (not @t602)) % 0.37/0.73 (define @t604 () (not @t603)) % 0.37/0.73 (define @t605 () (forall @t9 @t566)) % 0.37/0.73 (define @t606 () (not @t605)) % 0.37/0.73 (define @t607 () (or @t566 @t601)) % 0.37/0.73 (define @t608 () (not @t153)) % 0.37/0.73 (define @t609 () (or @t608 @t129)) % 0.37/0.73 (define @t610 () (_ @t145 @t19)) % 0.37/0.73 (define @t611 () (not @t610)) % 0.37/0.73 (define @t612 () (or @t611 @t129)) % 0.37/0.73 (define @t613 () (forall @t70 @t612)) % 0.37/0.73 (define @t614 () (not @t613)) % 0.37/0.73 (define @t615 () (_ @t145 @t4)) % 0.37/0.73 (define @t616 () (not @t615)) % 0.37/0.73 (define @t617 () (or @t616 @t614)) % 0.37/0.73 (define @t618 () (forall @t9 @t617)) % 0.37/0.73 (define @t619 () (not @t618)) % 0.37/0.73 (define @t620 () (lambda @t150 @t603)) % 0.37/0.73 (define @t621 () (_ @t620 @t145)) % 0.37/0.73 (define @t622 () (=> @t621 @t184)) % 0.37/0.73 (define @t623 () (forall @t150 @t622)) % 0.37/0.73 (define @t624 () (and @t144 @t600)) % 0.37/0.73 (define @t625 () (forall @t9 (not @t624))) % 0.37/0.73 (define @t626 () (not @t625)) % 0.37/0.73 (define @t627 () (=> tptp.exuE3e @t588)) % 0.37/0.73 (define @t628 () (=> tptp.notinemptyset @t627)) % 0.37/0.73 (define @t629 () (=> tptp.emptysetimpfalse @t628)) % 0.37/0.73 (define @t630 () (or @t172 @t172)) % 0.37/0.73 (define @t631 () (=> tptp.emptysetE @t629)) % 0.37/0.73 (define @t632 () (@var "BOUND_VARIABLE_8347" $$unsorted)) % 0.37/0.73 (define @t633 () (@list @t632)) % 0.37/0.73 (define @t634 () (lambda @t633 false)) % 0.37/0.73 (define @t635 () (@list @t632)) % 0.37/0.73 (define @t636 () (tptp.dsetconstr @t365 @t634)) % 0.37/0.73 (define @t637 () (tptp.in @t4 @t636)) % 0.37/0.73 (define @t638 () (not @t637)) % 0.37/0.73 (define @t639 () (or @t638 false)) % 0.37/0.73 (define @t640 () (lambda @t633 @t172)) % 0.37/0.73 (define @t641 () (tptp.dsetconstr @t365 @t640)) % 0.37/0.73 (define @t642 () (tptp.in @t4 @t641)) % 0.37/0.73 (define @t643 () (not @t642)) % 0.37/0.73 (define @t644 () (or @t172 @t643 @t172)) % 0.37/0.73 (define @t645 () (or @t643 @t172)) % 0.37/0.73 (define @t646 () (forall @t177 @t645)) % 0.37/0.73 (define @t647 () (forall @t9 @t646)) % 0.37/0.73 (define @t648 () (forall (@list @t4 @t172) @t645)) % 0.37/0.73 (define @t649 () (_ @t290 @t640)) % 0.37/0.73 (define @t650 () (_ @t5 @t649)) % 0.37/0.73 (define @t651 () (not @t650)) % 0.37/0.73 (define @t652 () (or @t651 @t172)) % 0.37/0.73 (define @t653 () (=> (_ @t5 @t291) @t172)) % 0.37/0.73 (define @t654 () (_ @t292 @t172)) % 0.37/0.73 (define @t655 () (=> (_ @t5 @t654) @t172)) % 0.37/0.73 (define @t656 () (forall @t174 @t655)) % 0.37/0.73 (define @t657 () (=> tptp.prop2setE @t631)) % 0.37/0.73 (define @t658 () (=> @t621 @t168)) % 0.37/0.73 (define @t659 () (forall @t150 @t658)) % 0.37/0.73 (define @t660 () (=> tptp.exuE1 @t657)) % 0.37/0.73 (define @t661 () (not @t578)) % 0.37/0.73 (define @t662 () (or @t661 @t330)) % 0.37/0.73 (define @t663 () (not @t157)) % 0.37/0.73 (define @t664 () (or @t663 @t144)) % 0.37/0.73 (define @t665 () (=> tptp.dsetconstrER @t660)) % 0.37/0.73 (define @t666 () (or @t661 @t301)) % 0.37/0.73 (define @t667 () (or @t663 @t7)) % 0.37/0.73 (define @t668 () (=> tptp.dsetconstrEL @t665)) % 0.37/0.73 (define @t669 () (or @t332 @t331 @t578)) % 0.37/0.73 (define @t670 () (or @t194 @t566 @t157)) % 0.37/0.73 (define @t671 () (=> tptp.dsetconstrI @t668)) % 0.37/0.73 (define @t672 () (or @t352 (= @t375 @t19))) % 0.37/0.73 (define @t673 () (forall @t70 @t672)) % 0.37/0.73 (define @t674 () (not @t673)) % 0.37/0.73 (define @t675 () (or @t377 @t376 @t674)) % 0.37/0.73 (define @t676 () (or @t376 @t674)) % 0.37/0.73 (define @t677 () (or @t676 @t377)) % 0.37/0.73 (define @t678 () (forall @t378 @t677)) % 0.37/0.73 (define @t679 () (@list @t375)) % 0.37/0.73 (define @t680 () (forall @t679 @t677)) % 0.37/0.73 (define @t681 () (forall @t679 @t676)) % 0.37/0.73 (define @t682 () (or @t681 @t377)) % 0.37/0.73 (define @t683 () (lambda @t9 @t330)) % 0.37/0.73 (define @t684 () (tptp.descr @t683)) % 0.37/0.73 (define @t685 () (_ @t143 @t684)) % 0.37/0.73 (define @t686 () (or @t602 @t685)) % 0.37/0.73 (define @t687 () (or @t602 @t147)) % 0.37/0.73 (define @t688 () (=> @t621 @t147)) % 0.37/0.73 (define @t689 () (forall @t150 @t688)) % 0.37/0.73 (define @t690 () (=> tptp.descrp @t671)) % 0.37/0.73 (define @t691 () (and @t428 @t421 @t417 @t405)) % 0.37/0.73 (define @t692 () (forall @t41 (not @t691))) % 0.37/0.73 (define @t693 () (not @t692)) % 0.37/0.73 (define @t694 () (@list @t400)) % 0.37/0.73 (define @t695 () (forall @t694 @t404)) % 0.37/0.73 (define @t696 () (forall @t694 @t401)) % 0.37/0.73 (define @t697 () (or @t403 @t696 @t399)) % 0.37/0.73 (define @t698 () (forall @t9 @t396)) % 0.37/0.73 (define @t699 () (or @t403 @t698 @t399)) % 0.37/0.73 (define @t700 () (not @t698)) % 0.37/0.73 (define @t701 () (and @t402 @t700)) % 0.37/0.73 (define @t702 () (not @t109)) % 0.37/0.73 (define @t703 () (not @t110)) % 0.37/0.73 (define @t704 () (or @t703 @t702 @t394 @t390)) % 0.37/0.73 (define @t705 () (and @t110 @t109 @t393 @t389)) % 0.37/0.73 (define @t706 () (forall @t112 (not @t705))) % 0.37/0.73 (define @t707 () (not @t706)) % 0.37/0.73 (define @t708 () (or @t383 @t382)) % 0.37/0.73 (define @t709 () (or @t386 @t708 @t384)) % 0.37/0.73 (define @t710 () (forall @t388 @t709)) % 0.37/0.73 (define @t711 () (@list @t381)) % 0.37/0.73 (define @t712 () (forall @t711 @t709)) % 0.37/0.73 (define @t713 () (forall @t711 @t708)) % 0.37/0.73 (define @t714 () (or @t386 @t713 @t384)) % 0.37/0.73 (define @t715 () (tptp.in @t19 @t93)) % 0.37/0.73 (define @t716 () (forall @t70 (or (not @t715) @t392))) % 0.37/0.73 (define @t717 () (not @t100)) % 0.37/0.73 (define @t718 () (or @t717 @t716 @t94)) % 0.37/0.73 (define @t719 () (or @t716 @t94)) % 0.37/0.73 (define @t720 () (not @t97)) % 0.37/0.73 (define @t721 () (or @t720 @t96)) % 0.37/0.73 (define @t722 () (not @t105)) % 0.37/0.73 (define @t723 () (not @t96)) % 0.37/0.73 (define @t724 () (or @t723 @t722)) % 0.37/0.73 (define @t725 () (forall @t70 (not @t106))) % 0.37/0.73 (define @t726 () (not @t725)) % 0.37/0.73 (define @t727 () (forall @t9 @t702)) % 0.37/0.73 (define @t728 () (not @t727)) % 0.37/0.73 (define @t729 () (or @t702 @t7)) % 0.37/0.73 (define @t730 () (or @t409 @t408)) % 0.37/0.73 (define @t731 () (or @t412 @t411)) % 0.37/0.73 (define @t732 () (or @t414 @t398 @t731 @t730)) % 0.37/0.73 (define @t733 () (forall @t416 @t732)) % 0.37/0.73 (define @t734 () (forall (@list @t410 @t407) @t732)) % 0.37/0.73 (define @t735 () (forall (@list @t407) @t730)) % 0.37/0.73 (define @t736 () (forall (@list @t410) @t731)) % 0.37/0.73 (define @t737 () (or @t414 @t398 @t736 @t735)) % 0.37/0.73 (define @t738 () (tptp.in @t4 @t95)) % 0.37/0.73 (define @t739 () (forall @t9 (or (not @t738) @t395))) % 0.37/0.73 (define @t740 () (forall @t9 (or @t396 @t738))) % 0.37/0.73 (define @t741 () (not @t124)) % 0.37/0.73 (define @t742 () (or @t741 @t703 @t740 @t739)) % 0.37/0.73 (define @t743 () (or @t740 @t739)) % 0.37/0.73 (define @t744 () (not @t120)) % 0.37/0.73 (define @t745 () (or @t744 @t109)) % 0.37/0.73 (define @t746 () (or @t702 @t120)) % 0.37/0.73 (define @t747 () (or @t194 @t535 @t420 @t129)) % 0.37/0.73 (define @t748 () (=> @t419 @t129)) % 0.37/0.73 (define @t749 () (or @t741 @t130)) % 0.37/0.73 (define @t750 () (or @t425 @t424)) % 0.37/0.73 (define @t751 () (or @t414 @t750)) % 0.37/0.73 (define @t752 () (forall @t427 @t751)) % 0.37/0.73 (define @t753 () (@list @t423)) % 0.37/0.73 (define @t754 () (forall @t753 @t751)) % 0.37/0.73 (define @t755 () (forall @t753 @t750)) % 0.37/0.73 (define @t756 () (or @t414 @t755)) % 0.37/0.73 (define @t757 () (or @t741 @t402)) % 0.37/0.73 (define @t758 () (=> tptp.wellorderingAx @t690)) % 0.37/0.73 (define @t759 () (@list @t436)) % 0.37/0.73 (define @t760 () (forall @t759 @t438)) % 0.37/0.73 (define @t761 () (forall @t759 @t437)) % 0.37/0.73 (define @t762 () (or @t761 @t435)) % 0.37/0.73 (define @t763 () (not @t39)) % 0.37/0.73 (define @t764 () (or @t763 @t434)) % 0.37/0.73 (define @t765 () (and @t39 @t433)) % 0.37/0.73 (define @t766 () (forall @t41 (not @t765))) % 0.37/0.73 (define @t767 () (not @t766)) % 0.37/0.73 (define @t768 () (or @t502 @t194)) % 0.37/0.73 (define @t769 () (forall @t9 (not @t84))) % 0.37/0.73 (define @t770 () (not @t769)) % 0.37/0.73 (define @t771 () (=> tptp.foundationAx @t758)) % 0.37/0.73 (define @t772 () (= @t6 @t442)) % 0.37/0.73 (define @t773 () (not @t68)) % 0.37/0.73 (define @t774 () (or @t535 @t773)) % 0.37/0.73 (define @t775 () (forall @t70 (not @t69))) % 0.37/0.73 (define @t776 () (not @t775)) % 0.37/0.73 (define @t777 () (or @t194 @t451)) % 0.37/0.73 (define @t778 () (_ @t75 @t445)) % 0.37/0.73 (define @t779 () (not @t778)) % 0.37/0.73 (define @t780 () (or @t779 @t448)) % 0.37/0.73 (define @t781 () (not @t76)) % 0.37/0.73 (define @t782 () (or @t781 @t446)) % 0.37/0.73 (define @t783 () (_ @t77 @t19)) % 0.37/0.73 (define @t784 () (not @t783)) % 0.37/0.73 (define @t785 () (or @t784 @t446)) % 0.37/0.73 (define @t786 () (forall @t70 @t785)) % 0.37/0.73 (define @t787 () (not @t786)) % 0.37/0.73 (define @t788 () (_ @t77 @t445)) % 0.37/0.73 (define @t789 () (not @t788)) % 0.37/0.73 (define @t790 () (or @t789 @t787)) % 0.37/0.73 (define @t791 () (forall @t450 @t790)) % 0.37/0.73 (define @t792 () (not @t791)) % 0.37/0.73 (define @t793 () (not (_ @t143 @t445))) % 0.37/0.73 (define @t794 () (or @t352 (= @t445 @t19))) % 0.37/0.73 (define @t795 () (forall @t70 @t794)) % 0.37/0.73 (define @t796 () (not @t795)) % 0.37/0.73 (define @t797 () (or @t793 @t796)) % 0.37/0.73 (define @t798 () (forall @t450 @t797)) % 0.37/0.73 (define @t799 () (not @t798)) % 0.37/0.73 (define @t800 () (=> @t7 (_ @t620 @t77))) % 0.37/0.73 (define @t801 () (forall @t9 @t800)) % 0.37/0.73 (define @t802 () (=> @t801 @t74)) % 0.37/0.73 (define @t803 () (forall @t81 @t802)) % 0.37/0.73 (define @t804 () (=> tptp.replAx @t771)) % 0.37/0.73 (define @t805 () (or @t457 @t456)) % 0.37/0.73 (define @t806 () (or @t465 @t463 @t805)) % 0.37/0.73 (define @t807 () (forall @t467 @t806)) % 0.37/0.73 (define @t808 () (@list @t455)) % 0.37/0.73 (define @t809 () (forall @t808 @t806)) % 0.37/0.73 (define @t810 () (forall @t808 @t805)) % 0.37/0.73 (define @t811 () (or @t465 @t463 @t810)) % 0.37/0.73 (define @t812 () (forall @t9 (or @t461 @t301))) % 0.37/0.73 (define @t813 () (not @t61)) % 0.37/0.73 (define @t814 () (or @t813 @t463 @t812)) % 0.37/0.73 (define @t815 () (and @t61 @t462)) % 0.37/0.73 (define @t816 () (not @t54)) % 0.37/0.73 (define @t817 () (or @t816 @t7)) % 0.37/0.73 (define @t818 () (_ tptp.in @t458)) % 0.37/0.73 (define @t819 () (or @t816 @t194 @t58)) % 0.37/0.73 (define @t820 () (=> tptp.omegaIndAx @t804)) % 0.37/0.73 (define @t821 () (or @t816 @t53)) % 0.37/0.73 (define @t822 () (=> tptp.omegaSAx @t820)) % 0.37/0.73 (define @t823 () (=> tptp.omega0Ax @t822)) % 0.37/0.73 (define @t824 () (= @t44 @t475)) % 0.37/0.73 (define @t825 () (or @t502 @t763)) % 0.37/0.73 (define @t826 () (forall @t41 (not @t40))) % 0.37/0.73 (define @t827 () (not @t826)) % 0.37/0.73 (define @t828 () (=> tptp.setunionAx @t823)) % 0.37/0.73 (define @t829 () (= @t35 @t306)) % 0.37/0.73 (define @t830 () (=> tptp.powersetAx @t828)) % 0.37/0.73 (define @t831 () (= @t26 @t517)) % 0.37/0.73 (define @t832 () (=> tptp.setadjoinAx @t830)) % 0.37/0.73 (define @t833 () (=> tptp.emptysetAx @t832)) % 0.37/0.73 (define @t834 () (=> tptp.setextAx @t833)) % 0.37/0.73 (define @t835 () (or @t502 @t763 @t44)) % 0.37/0.73 (define @t836 () (@quantifiers_skolemize @t300 0)) % 0.37/0.73 (define @t837 () (@quantifiers_skolemize @t300 1)) % 0.37/0.73 (define @t838 () (forall @t41 (or (not (tptp.in @t837 @t1)) (not (tptp.in @t1 @t836))))) % 0.37/0.73 (define @t839 () (not @t838)) % 0.37/0.73 (define @t840 () (tptp.in @t837 (tptp.setunion @t836))) % 0.37/0.73 (define @t841 () (= @t839 @t840)) % 0.37/0.73 (define @t842 () (= @t840 @t839)) % 0.37/0.73 (define @t843 () (@quantifiers_skolemize @t300 2)) % 0.37/0.73 (define @t844 () (tptp.in @t843 @t836)) % 0.37/0.73 (define @t845 () (not @t844)) % 0.37/0.73 (define @t846 () (tptp.in @t837 @t843)) % 0.37/0.73 (define @t847 () (not @t846)) % 0.37/0.73 (define @t848 () (or @t847 @t845 @t840)) % 0.37/0.73 (define @t849 () (@list true)) % 0.37/0.73 (define @t850 () (@list @t848)) % 0.37/0.73 (define @t851 () (not @t842)) % 0.37/0.73 (define @t852 () (@list true false)) % 0.37/0.73 (define @t853 () (or @t847 @t845)) % 0.37/0.73 (define @t854 () (not @t853)) % 0.37/0.73 (assume @p1 @t14) % 0.37/0.73 (assume @p2 @t18) % 0.37/0.73 (assume @p3 @t30) % 0.37/0.73 (assume @p4 @t38) % 0.37/0.73 (assume @p5 @t48) % 0.37/0.73 (assume @p6 (= tptp.omega0Ax @t50)) % 0.37/0.73 (assume @p7 @t56) % 0.37/0.73 (assume @p8 @t66) % 0.37/0.73 (assume @p9 @t83) % 0.37/0.73 (assume @p10 @t92) % 0.37/0.73 (assume @p11 @t142) % 0.37/0.73 (assume @p12 @t152) % 0.37/0.73 (assume @p13 @t161) % 0.37/0.73 (assume @p14 @t163) % 0.37/0.73 (assume @p15 @t165) % 0.37/0.73 (assume @p16 @t171) % 0.37/0.73 (assume @p17 @t176) % 0.37/0.73 (assume @p18 @t181) % 0.37/0.73 (assume @p19 @t183) % 0.37/0.73 (assume @p20 (= tptp.notinemptyset @t17)) % 0.37/0.73 (assume @p21 @t187) % 0.37/0.73 (assume @p22 @t192) % 0.37/0.73 (assume @p23 @t198) % 0.37/0.73 (assume @p24 (= tptp.noeltsimpempty @t197)) % 0.37/0.73 (assume @p25 @t201) % 0.37/0.73 (assume @p26 @t205) % 0.37/0.73 (assume @p27 @t209) % 0.37/0.73 (assume @p28 @t212) % 0.37/0.73 (assume @p29 @t216) % 0.37/0.73 (assume @p30 (= tptp.emptyinunitempty @t218)) % 0.37/0.73 (assume @p31 @t220) % 0.37/0.73 (assume @p32 @t228) % 0.37/0.73 (assume @p33 @t231) % 0.37/0.73 (assume @p34 @t235) % 0.37/0.73 (assume @p35 @t238) % 0.37/0.73 (assume @p36 @t241) % 0.37/0.73 (assume @p37 (= tptp.emptyInPowerset @t240)) % 0.37/0.73 (assume @p38 @t244) % 0.37/0.73 (assume @p39 @t286) % 0.37/0.73 (assume @p40 true) % 0.37/0.73 (step @p41 (= tptp.exu @t287) :rule refl :args (@t287)) % 0.37/0.73 (step @p42 (= tptp.prop2set @t292) :rule refl :args (@t292)) % 0.37/0.73 (step @p43 (= tptp.nonempty @t293) :rule refl :args (@t293)) % 0.37/0.73 (step @p44 :rule refl :args (@t316)) % 0.37/0.73 (step @p45 :rule refl :args ((tptp.in tptp.emptyset @t217))) % 0.37/0.73 (step @p46 :rule refl :args (@t317)) % 0.37/0.73 (step @p47 :rule refl :args (tptp.emptyset)) % 0.37/0.73 (step @p48 :rule cong :premises (@p47 @p46) :args (@t318)) % 0.37/0.73 (step @p49 :rule trans :premises (@p48 @p45)) % 0.37/0.73 (step @p50 :rule refl :args (@t49)) % 0.37/0.73 (step @p51 :rule ho_cong :premises (@p50 @p46)) % 0.37/0.73 (step @p52 :rule cong :premises (@p51 @p49) :args ((= (_ @t49 @t317) @t318))) % 0.37/0.73 (step @p53 :rule symm :premises (@p52)) % 0.37/0.73 (step @p54 :rule refl :args (@t218)) % 0.37/0.73 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.37/0.73 (step @p56 :rule refl :args (@t217)) % 0.37/0.73 (step @p57 :rule cong :premises (@p56 @p46) :args ((= @t217 @t317))) % 0.37/0.73 (step @p58 :rule symm :premises (@p57)) % 0.37/0.73 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.37/0.73 (step @p60 :rule refl :args (@t49)) % 0.37/0.73 (step @p61 :rule ho_cong :premises (@p60 @p59)) % 0.37/0.73 (step @p62 :rule trans :premises (@p61 @p55)) % 0.37/0.73 (step @p63 :rule cong :premises (@p62 @p44) :args (@t319)) % 0.37/0.73 (step @p64 :rule refl :args (@t322)) % 0.37/0.73 (step @p65 :rule cong :premises (@p64 @p63) :args (@t323)) % 0.37/0.73 (step @p66 :rule refl :args (@t327)) % 0.37/0.73 (step @p67 :rule cong :premises (@p66 @p65) :args (@t328)) % 0.37/0.73 (step @p68 :rule refl :args (@t333)) % 0.37/0.73 (step @p69 :rule cong :premises (@p68 @p67) :args (@t334)) % 0.37/0.73 (step @p70 :rule refl :args (@t337)) % 0.37/0.73 (step @p71 :rule cong :premises (@p70 @p69) :args (@t338)) % 0.37/0.73 (step @p72 :rule refl :args (@t340)) % 0.37/0.73 (step @p73 :rule cong :premises (@p72 @p71) :args (@t341)) % 0.37/0.73 (step @p74 :rule refl :args (@t342)) % 0.37/0.73 (step @p75 :rule cong :premises (@p74 @p73) :args (@t343)) % 0.37/0.73 (step @p76 :rule cong :premises (@p74 @p75) :args (@t344)) % 0.37/0.73 (step @p77 :rule refl :args (@t348)) % 0.37/0.73 (step @p78 :rule cong :premises (@p77 @p76) :args (@t349)) % 0.37/0.73 (step @p79 :rule refl :args (@t356)) % 0.37/0.73 (step @p80 :rule cong :premises (@p79 @p78) :args (@t357)) % 0.37/0.73 (step @p81 :rule refl :args (@t359)) % 0.37/0.73 (step @p82 :rule cong :premises (@p81 @p80) :args (@t360)) % 0.37/0.73 (step @p83 :rule cong :premises (@p81 @p82) :args (@t361)) % 0.37/0.73 (step @p84 :rule cong :premises (@p81 @p83) :args (@t362)) % 0.37/0.73 (step @p85 :rule refl :args (@t366)) % 0.37/0.73 (step @p86 :rule cong :premises (@p85 @p84) :args (@t367)) % 0.37/0.73 (step @p87 :rule refl :args (@t369)) % 0.37/0.73 (step @p88 :rule cong :premises (@p87 @p86) :args (@t370)) % 0.37/0.73 (step @p89 :rule refl :args (@t371)) % 0.37/0.73 (step @p90 :rule cong :premises (@p89 @p88) :args (@t372)) % 0.37/0.73 (step @p91 :rule refl :args (@t373)) % 0.37/0.73 (step @p92 :rule cong :premises (@p91 @p90) :args (@t374)) % 0.37/0.73 (step @p93 :rule refl :args (@t379)) % 0.37/0.73 (step @p94 :rule cong :premises (@p93 @p92) :args (@t380)) % 0.37/0.73 (step @p95 :rule refl :args (@t431)) % 0.37/0.73 (step @p96 :rule cong :premises (@p95 @p94) :args (@t432)) % 0.37/0.73 (step @p97 :rule refl :args (@t439)) % 0.37/0.73 (step @p98 :rule cong :premises (@p97 @p96) :args (@t440)) % 0.37/0.73 (step @p99 :rule refl :args (@t453)) % 0.37/0.73 (step @p100 :rule cong :premises (@p99 @p98) :args (@t454)) % 0.37/0.73 (step @p101 :rule refl :args (@t468)) % 0.37/0.73 (step @p102 :rule cong :premises (@p101 @p100) :args (@t469)) % 0.37/0.73 (step @p103 :rule refl :args (@t471)) % 0.37/0.73 (step @p104 :rule cong :premises (@p103 @p102) :args (@t472)) % 0.37/0.73 (step @p105 :rule refl :args (@t473)) % 0.37/0.73 (step @p106 :rule refl :args (@t50)) % 0.37/0.73 (step @p107 :rule cong :premises (@p106 @p105) :args ((= @t50 @t473))) % 0.37/0.73 (step @p108 :rule symm :premises (@p107)) % 0.37/0.73 (step @p109 :rule eq_resolve :premises (@p106 @p108)) % 0.37/0.73 (step @p110 :rule cong :premises (@p109 @p104) :args (@t474)) % 0.37/0.73 (step @p111 :rule refl :args (@t476)) % 0.37/0.73 (step @p112 :rule cong :premises (@p111 @p110) :args (@t477)) % 0.37/0.73 (step @p113 :rule refl :args (@t478)) % 0.37/0.73 (step @p114 :rule cong :premises (@p113 @p112) :args (@t479)) % 0.37/0.73 (step @p115 :rule refl :args (@t481)) % 0.37/0.73 (step @p116 :rule cong :premises (@p115 @p114) :args (@t482)) % 0.37/0.73 (step @p117 :rule cong :premises (@p81 @p116) :args (@t483)) % 0.37/0.73 (step @p118 :rule refl :args (@t485)) % 0.37/0.73 (step @p119 :rule cong :premises (@p118 @p117) :args (@t486)) % 0.37/0.73 (step @p120 :rule cong :premises (@p119) :args ((not @t486))) % 0.37/0.73 (step @p121 :rule bool-impl-true2 :args (@t367)) % 0.37/0.73 (step @p122 :rule cong :premises (@p87 @p121) :args (@t487)) % 0.37/0.73 (step @p123 :rule cong :premises (@p89 @p122) :args (@t488)) % 0.37/0.73 (step @p124 :rule cong :premises (@p91 @p123) :args (@t489)) % 0.37/0.73 (step @p125 :rule cong :premises (@p93 @p124) :args (@t490)) % 0.37/0.73 (step @p126 :rule cong :premises (@p95 @p125) :args (@t491)) % 0.37/0.73 (step @p127 :rule cong :premises (@p97 @p126) :args (@t492)) % 0.37/0.73 (step @p128 :rule cong :premises (@p99 @p127) :args (@t493)) % 0.37/0.73 (step @p129 :rule cong :premises (@p101 @p128) :args (@t494)) % 0.37/0.73 (step @p130 :rule cong :premises (@p103 @p129) :args (@t495)) % 0.37/0.73 (step @p131 :rule refl :args (@t50)) % 0.37/0.73 (step @p132 :rule cong :premises (@p131 @p130) :args (@t496)) % 0.37/0.73 (step @p133 :rule cong :premises (@p111 @p132) :args (@t497)) % 0.37/0.73 (step @p134 :rule cong :premises (@p113 @p133) :args (@t498)) % 0.37/0.73 (step @p135 :rule cong :premises (@p115 @p134) :args (@t499)) % 0.37/0.73 (step @p136 :rule cong :premises (@p81 @p135) :args (@t500)) % 0.37/0.73 (step @p137 :rule cong :premises (@p118 @p136) :args (@t501)) % 0.37/0.73 (step @p138 :rule cong :premises (@p137) :args ((not @t501))) % 0.37/0.73 (step @p139 :rule refl :args (@t300)) % 0.37/0.73 (step @p140 :rule refl :args (@t301)) % 0.37/0.73 (step @p141 :rule refl :args (@t7)) % 0.37/0.73 (step @p142 :rule cong :premises (@p141 @p140) :args ((= @t7 @t301))) % 0.37/0.73 (step @p143 :rule symm :premises (@p142)) % 0.37/0.73 (step @p144 :rule eq_resolve :premises (@p141 @p143)) % 0.37/0.73 (step @p145 :rule refl :args (@t298)) % 0.37/0.73 (step @p146 :rule refl :args (@t6)) % 0.37/0.73 (step @p147 :rule cong :premises (@p146 @p145) :args ((= @t6 @t298))) % 0.37/0.73 (step @p148 :rule symm :premises (@p147)) % 0.37/0.73 (step @p149 :rule eq_resolve :premises (@p146 @p148)) % 0.37/0.73 (step @p150 :rule cong :premises (@p149) :args (@t502)) % 0.37/0.73 (step @p151 :rule refl :args ((tptp.in @t1 @t33))) % 0.37/0.73 (step @p152 :rule refl :args (@t302)) % 0.37/0.73 (step @p153 :rule refl :args (@t1)) % 0.37/0.73 (step @p154 :rule cong :premises (@p153 @p152) :args (@t303)) % 0.37/0.73 (step @p155 :rule trans :premises (@p154 @p151)) % 0.37/0.73 (step @p156 :rule refl :args (@t34)) % 0.37/0.73 (step @p157 :rule ho_cong :premises (@p156 @p152)) % 0.37/0.73 (step @p158 :rule cong :premises (@p157 @p155) :args ((= (_ @t34 @t302) @t303))) % 0.37/0.73 (step @p159 :rule symm :premises (@p158)) % 0.37/0.73 (step @p160 :rule refl :args (@t35)) % 0.37/0.73 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 0.37/0.73 (step @p162 :rule refl :args (@t33)) % 0.37/0.73 (step @p163 :rule cong :premises (@p162 @p152) :args ((= @t33 @t302))) % 0.37/0.73 (step @p164 :rule symm :premises (@p163)) % 0.37/0.73 (step @p165 :rule eq_resolve :premises (@p162 @p164)) % 0.37/0.73 (step @p166 :rule ho_cong :premises (@p156 @p165)) % 0.37/0.73 (step @p167 :rule trans :premises (@p166 @p161)) % 0.37/0.73 (step @p168 :rule cong :premises (@p167) :args (@t503)) % 0.37/0.73 (step @p169 :rule nary_cong :premises (@p168 @p150 @p144) :args (@t504)) % 0.37/0.73 (step @p170 :rule cong :premises (@p169) :args ((forall @t242 @t504))) % 0.37/0.73 (step @p171 :rule aci_norm :args ((= (or @t503 @t505) @t504))) % 0.37/0.73 (step @p172 :rule bool-impl-elim :args (@t6 @t7)) % 0.37/0.73 (step @p173 :rule refl :args (@t503)) % 0.37/0.73 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or @t503 @t31))) % 0.37/0.73 (step @p175 :rule trans :premises (@p174 @p171)) % 0.37/0.73 (step @p176 :rule bool-impl-elim :args (@t35 @t31)) % 0.37/0.73 (step @p177 :rule trans :premises (@p176 @p175)) % 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(tptp.emptyinunitempty)) % 0.37/0.74 (step @p1559 :rule cong :premises (@p1558 @p1557) :args (@t256)) % 0.37/0.74 (step @p1560 :rule cong :premises (@p390 @p1559) :args (@t257)) % 0.37/0.74 (step @p1561 :rule cong :premises (@p438 @p1560) :args (@t258)) % 0.37/0.74 (step @p1562 :rule cong :premises (@p504 @p1561) :args (@t259)) % 0.37/0.74 (step @p1563 :rule cong :premises (@p524 @p1562) :args (@t260)) % 0.37/0.74 (step @p1564 :rule cong :premises (@p559 @p1563) :args (@t261)) % 0.37/0.74 (step @p1565 :rule cong :premises (@p564 @p1564) :args (@t262)) % 0.37/0.74 (step @p1566 :rule cong :premises (@p577 @p1565) :args (@t263)) % 0.37/0.74 (step @p1567 :rule cong :premises (@p599 @p1566) :args (@t264)) % 0.37/0.74 (step @p1568 :rule cong :premises (@p657 @p1567) :args (@t265)) % 0.37/0.74 (step @p1569 :rule cong :premises (@p683 @p1568) :args (@t266)) % 0.37/0.74 (step @p1570 :rule cong :premises (@p700 @p1569) :args (@t267)) % 0.37/0.74 (step @p1571 :rule cong :premises (@p715 @p1570) :args (@t268)) % 0.37/0.74 (step @p1572 :rule cong :premises (@p792 @p1571) :args (@t269)) % 0.37/0.74 (step @p1573 :rule cong :premises (@p816 @p1572) :args (@t270)) % 0.37/0.74 (step @p1574 :rule cong :premises (@p837 @p1573) :args (@t271)) % 0.37/0.74 (step @p1575 :rule cong :premises (@p850 @p1574) :args (@t272)) % 0.37/0.74 (step @p1576 :rule cong :premises (@p867 @p1575) :args (@t273)) % 0.37/0.74 (step @p1577 :rule cong :premises (@p935 @p1576) :args (@t274)) % 0.37/0.74 (step @p1578 :rule cong :premises (@p1206 @p1577) :args (@t275)) % 0.37/0.74 (step @p1579 :rule cong :premises (@p1257 @p1578) :args (@t276)) % 0.37/0.74 (step @p1580 :rule cong :premises (@p1350 @p1579) :args (@t277)) % 0.37/0.74 (step @p1581 :rule cong :premises (@p1437 @p1580) :args (@t278)) % 0.37/0.74 (step @p1582 :rule cong :premises (@p1457 @p1581) :args (@t279)) % 0.37/0.74 (step @p1583 :rule refl :args (tptp.omega0Ax)) % 0.37/0.74 (step @p1584 :rule cong :premises (@p1583 @p1582) :args (@t280)) % 0.37/0.74 (step @p1585 :rule cong :premises (@p1495 @p1584) :args (@t281)) % 0.37/0.74 (step @p1586 :rule cong :premises (@p1508 @p1585) :args (@t282)) % 0.37/0.74 (step @p1587 :rule cong :premises (@p1518 @p1586) :args (@t283)) % 0.37/0.74 (step @p1588 :rule cong :premises (@p1522 @p1587) :args (@t284)) % 0.37/0.74 (step @p1589 :rule cong :premises (@p1533 @p1588) :args (@t285)) % 0.37/0.74 (step @p1590 :rule cong :premises (@p1589) :args (@t286)) % 0.37/0.74 (step @p1591 :rule trans :premises (@p1590 @p1538 @p120)) % 0.37/0.74 (step @p1592 :rule eq_resolve :premises (@p39 @p1591)) % 0.37/0.74 (step @p1593 :rule not_implies_elim2 :premises (@p1592)) % 0.37/0.74 (step @p1594 :rule not_implies_elim2 :premises (@p1593)) % 0.37/0.74 (step @p1595 :rule not_implies_elim2 :premises (@p1594)) % 0.37/0.74 (step @p1596 :rule not_implies_elim2 :premises (@p1595)) % 0.37/0.74 (step @p1597 :rule not_implies_elim1 :premises (@p1596)) % 0.37/0.74 (step @p1598 :rule eq-symm :args (@t839 @t840)) % 0.37/0.74 (step @p1599 :rule cong :premises (@p111 @p1598) :args ((=> @t476 @t841))) % 0.37/0.74 (assume-push @p1673 @t476) % 0.37/0.74 (step @p1601 :rule instantiate :premises (@p1597) :args ((@list @t836 @t837))) % 0.37/0.74 (step-pop @p1674 :rule scope :premises (@p1601)) % 0.37/0.74 (step @p1602 :rule process_scope :premises (@p1674) :args (@t841)) % 0.37/0.74 (step @p1604 :rule eq_resolve :premises (@p1602 @p1599)) % 0.37/0.74 (step @p1605 :rule implies_elim :premises (@p1604)) % 0.37/0.74 (step @p1606 :rule chain_m_resolution :premises (@p1605 @p1597) :args (@t842 (@list false) (@list @t476))) % 0.37/0.74 (step @p1607 :rule not_implies_elim2 :premises (@p1596)) % 0.37/0.74 (step @p1608 :rule not_implies_elim2 :premises (@p1607)) % 0.37/0.74 (step @p1609 :rule not_implies_elim2 :premises (@p1608)) % 0.37/0.74 (step @p1610 :rule not_implies_elim2 :premises (@p1609)) % 0.37/0.74 (step @p1611 :rule not_implies_elim2 :premises (@p1610)) % 0.37/0.74 (step @p1612 :rule not_implies_elim2 :premises (@p1611)) % 0.37/0.74 (step @p1613 :rule not_implies_elim2 :premises (@p1612)) % 0.37/0.74 (step @p1614 :rule not_implies_elim2 :premises (@p1613)) % 0.37/0.74 (step @p1615 :rule not_implies_elim2 :premises (@p1614)) % 0.37/0.74 (step @p1616 :rule not_implies_elim2 :premises (@p1615)) % 0.37/0.74 (step @p1617 :rule not_implies_elim2 :premises (@p1616)) % 0.37/0.74 (step @p1618 :rule not_implies_elim2 :premises (@p1617)) % 0.37/0.74 (step @p1619 :rule not_implies_elim2 :premises (@p1618)) % 0.37/0.74 (step @p1620 :rule not_implies_elim2 :premises (@p1619)) % 0.37/0.74 (step @p1621 :rule not_implies_elim2 :premises (@p1620)) % 0.37/0.74 (step @p1622 :rule not_implies_elim2 :premises (@p1621)) % 0.37/0.74 (step @p1623 :rule not_implies_elim2 :premises (@p1622)) % 0.37/0.74 (step @p1624 :rule not_implies_elim2 :premises (@p1623)) % 0.37/0.74 (step @p1625 :rule not_implies_elim2 :premises (@p1624)) % 0.37/0.74 (step @p1626 :rule not_implies_elim2 :premises (@p1625)) % 0.37/0.74 (step @p1627 :rule not_implies_elim2 :premises (@p1626)) % 0.37/0.74 (step @p1628 :rule not_implies_elim2 :premises (@p1627)) % 0.37/0.74 (step @p1629 :rule not_implies_elim2 :premises (@p1628)) % 0.37/0.74 (step @p1630 :rule not_implies_elim2 :premises (@p1629)) % 0.37/0.74 (step @p1631 :rule not_implies_elim2 :premises (@p1630)) % 0.37/0.74 (step @p1632 :rule not_implies_elim2 :premises (@p1631)) % 0.37/0.74 (step @p1633 :rule not_implies_elim2 :premises (@p1632)) % 0.37/0.74 (step @p1634 :rule not_implies_elim2 :premises (@p1633)) % 0.37/0.74 (step @p1635 :rule not_implies_elim2 :premises (@p1634)) % 0.37/0.74 (step @p1636 :rule not_implies_elim2 :premises (@p1635)) % 0.37/0.74 (step @p1637 :rule not_implies_elim2 :premises (@p1636)) % 0.37/0.74 (step @p1638 :rule not_implies_elim2 :premises (@p1637)) % 0.37/0.74 (step @p1639 :rule not_implies_elim2 :premises (@p1638)) % 0.37/0.74 (step @p1640 :rule skolemize :premises (@p1639)) % 0.37/0.74 (step @p1641 :rule cnf_or_neg :args (@t848 2)) % 0.37/0.74 (step @p1642 :rule chain_m_resolution :premises (@p1641 @p1640) :args ((not @t840) @t849 @t850)) % 0.37/0.74 (step @p1643 :rule bool-double-not-elim :args (@t838)) % 0.37/0.74 (step @p1644 :rule refl :args (@t840)) % 0.37/0.74 (step @p1645 :rule refl :args (@t851)) % 0.37/0.74 (step @p1646 :rule nary_cong :premises (@p1645 @p1644 @p1643) :args ((or @t851 @t840 (not @t839)))) % 0.37/0.74 (step @p1647 :rule cnf_equiv_pos2 :args (@t842)) % 0.37/0.74 (step @p1648 :rule eq_resolve :premises (@p1647 @p1646)) % 0.37/0.74 (step @p1649 :rule reordering :premises (@p1648) :args ((or @t840 @t838 @t851))) % 0.37/0.74 (step @p1650 :rule chain_m_resolution :premises (@p1649 @p1642 @p1606) :args (@t838 @t852 (@list @t840 @t842))) % 0.37/0.74 (step @p1651 :rule bool-double-not-elim :args (@t844)) % 0.37/0.74 (step @p1652 :rule refl :args (@t848)) % 0.37/0.74 (step @p1653 :rule nary_cong :premises (@p1652 @p1651) :args ((or @t848 (not @t845)))) % 0.37/0.74 (step @p1654 :rule cnf_or_neg :args (@t848 1)) % 0.37/0.74 (step @p1655 :rule eq_resolve :premises (@p1654 @p1653)) % 0.37/0.74 (step @p1656 :rule reordering :premises (@p1655) :args ((or @t844 @t848))) % 0.37/0.74 (step @p1657 :rule chain_m_resolution :premises (@p1656 @p1640) :args (@t844 @t849 @t850)) % 0.37/0.74 (step @p1658 :rule bool-double-not-elim :args (@t846)) % 0.37/0.74 (step @p1659 :rule nary_cong :premises (@p1652 @p1658) :args ((or @t848 (not @t847)))) % 0.37/0.74 (step @p1660 :rule cnf_or_neg :args (@t848 0)) % 0.37/0.74 (step @p1661 :rule eq_resolve :premises (@p1660 @p1659)) % 0.37/0.74 (step @p1662 :rule reordering :premises (@p1661) :args ((or @t846 @t848))) % 0.37/0.74 (step @p1663 :rule chain_m_resolution :premises (@p1662 @p1640) :args (@t846 @t849 @t850)) % 0.37/0.74 (step @p1664 :rule cnf_or_pos :args (@t853)) % 0.37/0.74 (step @p1665 :rule reordering :premises (@p1664) :args ((or @t847 @t845 @t854))) % 0.37/0.74 (step @p1666 :rule chain_m_resolution :premises (@p1665 @p1663 @p1657) :args (@t854 (@list false false) (@list @t846 @t844))) % 0.37/0.74 (assume-push @p1675 @t838) % 0.37/0.74 (step @p1668 :rule instantiate :premises (@p1650) :args ((@list @t843))) % 0.37/0.74 (step-pop @p1676 :rule scope :premises (@p1668)) % 0.37/0.74 (step @p1669 :rule process_scope :premises (@p1676) :args (@t853)) % 0.37/0.74 (step @p1671 :rule implies_elim :premises (@p1669)) % 0.37/0.74 (step @p1672 false :rule chain_m_resolution :premises (@p1671 @p1666 @p1650) :args (false @t852 (@list @t853 @t838))) % 0.37/0.74 ) % 0.37/0.74 % SZS output end Proof % 0.37/0.74 % cvc5 exiting %------------------------------------------------------------------------------