%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU523^1 : 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 : n007.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 0.37s 0.72s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU523^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n007.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:39:42 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.51 %----Proving TH0 % 0.37/0.72 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.72 % SZS status Theorem % 0.37/0.72 % SZS output start Proof % 0.37/0.72 ( % 0.37/0.72 (declare-sort $$unsorted 0) % 0.37/0.72 (declare-const tptp.emptyset $$unsorted) % 0.37/0.72 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.37/0.72 (declare-const tptp.setunionI Bool) % 0.37/0.72 (declare-const tptp.powersetE Bool) % 0.37/0.72 (declare-const tptp.emptyInPowerset Bool) % 0.37/0.72 (declare-const tptp.setoftrueEq Bool) % 0.37/0.72 (declare-const tptp.setadjoinOr Bool) % 0.37/0.72 (declare-const tptp.setadjoinE Bool) % 0.37/0.72 (declare-const tptp.emptyinunitempty Bool) % 0.37/0.72 (declare-const tptp.nonemptyI1 Bool) % 0.37/0.72 (declare-const tptp.nonemptyI Bool) % 0.37/0.72 (declare-const tptp.nonemptyE1 Bool) % 0.37/0.72 (declare-const tptp.noeltsimpempty Bool) % 0.37/0.72 (declare-const tptp.emptyI Bool) % 0.37/0.72 (declare-const tptp.omegaIndAx Bool) % 0.37/0.72 (declare-const tptp.omega0Ax Bool) % 0.37/0.72 (declare-const tptp.setadjoinIL Bool) % 0.37/0.72 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.powersetAx Bool) % 0.37/0.72 (declare-const tptp.omegaSAx Bool) % 0.37/0.72 (declare-const tptp.setext Bool) % 0.37/0.72 (declare-const tptp.setadjoinAx Bool) % 0.37/0.72 (declare-const tptp.powersetI Bool) % 0.37/0.72 (declare-const tptp.setbeta Bool) % 0.37/0.72 (declare-const tptp.dsetconstrER Bool) % 0.37/0.72 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.setadjoinIR Bool) % 0.37/0.72 (declare-const tptp.notinemptyset Bool) % 0.37/0.72 (declare-const tptp.foundationAx Bool) % 0.37/0.72 (declare-const tptp.setextAx Bool) % 0.37/0.72 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.emptysetAx Bool) % 0.37/0.72 (declare-const tptp.dsetconstrEL Bool) % 0.37/0.72 (declare-const tptp.replAx Bool) % 0.37/0.72 (declare-const tptp.emptysetimpfalse Bool) % 0.37/0.72 (declare-const tptp.wellorderingAx Bool) % 0.37/0.72 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.37/0.72 (declare-const tptp.emptyinPowerset Bool) % 0.37/0.72 (declare-const tptp.exuE1 Bool) % 0.37/0.72 (declare-const tptp.descrp Bool) % 0.37/0.72 (declare-const tptp.dsetconstrI Bool) % 0.37/0.72 (declare-const tptp.omega $$unsorted) % 0.37/0.72 (declare-const tptp.exuE3e Bool) % 0.37/0.72 (declare-const tptp.prop2setE Bool) % 0.37/0.72 (declare-const tptp.setunionAx Bool) % 0.37/0.72 (declare-const tptp.emptysetE Bool) % 0.37/0.72 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.37/0.72 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.37/0.72 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.37/0.72 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.72 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.72 (define @t3 () (= @t2 @t1)) % 0.37/0.72 (define @t4 () (@var "Xx" $$unsorted)) % 0.37/0.72 (define @t5 () (_ tptp.in @t4)) % 0.37/0.72 (define @t6 () (_ @t5 @t1)) % 0.37/0.72 (define @t7 () (_ @t5 @t2)) % 0.37/0.72 (define @t8 () (= @t7 @t6)) % 0.37/0.72 (define @t9 () (@list @t4)) % 0.37/0.72 (define @t10 () (forall @t9 @t8)) % 0.37/0.72 (define @t11 () (=> @t10 @t3)) % 0.37/0.72 (define @t12 () (@list @t2 @t1)) % 0.37/0.72 (define @t13 () (forall @t12 @t11)) % 0.37/0.72 (define @t14 () (= tptp.setextAx @t13)) % 0.37/0.72 (define @t15 () (_ @t5 tptp.emptyset)) % 0.37/0.72 (define @t16 () (not @t15)) % 0.37/0.72 (define @t17 () (forall @t9 @t16)) % 0.37/0.72 (define @t18 () (= tptp.emptysetAx @t17)) % 0.37/0.72 (define @t19 () (@var "Xy" $$unsorted)) % 0.37/0.72 (define @t20 () (_ tptp.in @t19)) % 0.37/0.72 (define @t21 () (_ @t20 @t2)) % 0.37/0.72 (define @t22 () (= @t19 @t4)) % 0.37/0.72 (define @t23 () (or @t22 @t21)) % 0.37/0.72 (define @t24 () (_ tptp.setadjoin @t4)) % 0.37/0.72 (define @t25 () (_ @t24 @t2)) % 0.37/0.72 (define @t26 () (_ @t20 @t25)) % 0.37/0.72 (define @t27 () (= @t26 @t23)) % 0.37/0.72 (define @t28 () (@list @t4 @t2 @t19)) % 0.37/0.72 (define @t29 () (forall @t28 @t27)) % 0.37/0.72 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.37/0.72 (define @t31 () (=> @t6 @t7)) % 0.37/0.72 (define @t32 () (forall @t9 @t31)) % 0.37/0.72 (define @t33 () (_ tptp.powerset @t2)) % 0.37/0.72 (define @t34 () (_ tptp.in @t1)) % 0.37/0.72 (define @t35 () (_ @t34 @t33)) % 0.37/0.72 (define @t36 () (= @t35 @t32)) % 0.37/0.72 (define @t37 () (forall @t12 @t36)) % 0.37/0.72 (define @t38 () (= tptp.powersetAx @t37)) % 0.37/0.72 (define @t39 () (_ @t34 @t2)) % 0.37/0.72 (define @t40 () (and @t6 @t39)) % 0.37/0.72 (define @t41 () (@list @t1)) % 0.37/0.72 (define @t42 () (exists @t41 @t40)) % 0.37/0.72 (define @t43 () (_ tptp.setunion @t2)) % 0.37/0.72 (define @t44 () (_ @t5 @t43)) % 0.37/0.72 (define @t45 () (= @t44 @t42)) % 0.37/0.72 (define @t46 () (@list @t2 @t4)) % 0.37/0.72 (define @t47 () (forall @t46 @t45)) % 0.37/0.72 (define @t48 () (= tptp.setunionAx @t47)) % 0.37/0.72 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.37/0.72 (define @t50 () (_ @t49 tptp.omega)) % 0.37/0.72 (define @t51 () (_ @t24 @t4)) % 0.37/0.72 (define @t52 () (_ tptp.in @t51)) % 0.37/0.72 (define @t53 () (_ @t52 tptp.omega)) % 0.37/0.72 (define @t54 () (_ @t5 tptp.omega)) % 0.37/0.72 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.37/0.72 (define @t56 () (= tptp.omegaSAx @t55)) % 0.37/0.72 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.37/0.72 (define @t58 () (_ @t52 @t2)) % 0.37/0.72 (define @t59 () (and @t54 @t7)) % 0.37/0.72 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.37/0.72 (define @t61 () (_ @t49 @t2)) % 0.37/0.72 (define @t62 () (and @t61 @t60)) % 0.37/0.72 (define @t63 () (=> @t62 @t57)) % 0.37/0.72 (define @t64 () (@list @t2)) % 0.37/0.72 (define @t65 () (forall @t64 @t63)) % 0.37/0.72 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.37/0.72 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.37/0.72 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.37/0.72 (define @t69 () (and @t21 @t68)) % 0.37/0.72 (define @t70 () (@list @t19)) % 0.37/0.72 (define @t71 () (exists @t70 @t69)) % 0.37/0.72 (define @t72 () (= @t6 @t71)) % 0.37/0.72 (define @t73 () (forall @t9 @t72)) % 0.37/0.72 (define @t74 () (exists @t41 @t73)) % 0.37/0.72 (define @t75 () (_ @t67 @t4)) % 0.37/0.72 (define @t76 () (_ @t75 @t19)) % 0.37/0.72 (define @t77 () (lambda @t70 @t76)) % 0.37/0.72 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.37/0.72 (define @t79 () (forall @t9 @t78)) % 0.37/0.72 (define @t80 () (=> @t79 @t74)) % 0.37/0.72 (define @t81 () (@list @t67 @t2)) % 0.37/0.72 (define @t82 () (forall @t81 @t80)) % 0.37/0.72 (define @t83 () (= tptp.replAx @t82)) % 0.37/0.72 (define @t84 () (and @t6 @t7)) % 0.37/0.72 (define @t85 () (exists @t9 @t84)) % 0.37/0.72 (define @t86 () (not @t85)) % 0.37/0.72 (define @t87 () (and @t39 @t86)) % 0.37/0.72 (define @t88 () (exists @t41 @t87)) % 0.37/0.72 (define @t89 () (exists @t9 @t7)) % 0.37/0.72 (define @t90 () (=> @t89 @t88)) % 0.37/0.72 (define @t91 () (forall @t64 @t90)) % 0.37/0.72 (define @t92 () (= tptp.foundationAx @t91)) % 0.37/0.72 (define @t93 () (@var "E" $$unsorted)) % 0.37/0.72 (define @t94 () (_ @t5 @t93)) % 0.37/0.72 (define @t95 () (@var "D" $$unsorted)) % 0.37/0.72 (define @t96 () (_ @t20 @t95)) % 0.37/0.72 (define @t97 () (_ @t20 @t93)) % 0.37/0.72 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.37/0.72 (define @t99 () (or @t98 @t94)) % 0.37/0.72 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.37/0.72 (define @t101 () (=> @t100 @t99)) % 0.37/0.72 (define @t102 () (@list @t93)) % 0.37/0.72 (define @t103 () (forall @t102 @t101)) % 0.37/0.72 (define @t104 () (@var "C" $$unsorted)) % 0.37/0.72 (define @t105 () (_ @t20 @t104)) % 0.37/0.72 (define @t106 () (and @t96 @t105)) % 0.37/0.72 (define @t107 () (exists @t70 @t106)) % 0.37/0.72 (define @t108 () (not @t107)) % 0.37/0.72 (define @t109 () (_ @t5 @t104)) % 0.37/0.72 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.37/0.72 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.37/0.72 (define @t112 () (@list @t95 @t4)) % 0.37/0.72 (define @t113 () (exists @t112 @t111)) % 0.37/0.72 (define @t114 () (exists @t9 @t109)) % 0.37/0.72 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.37/0.72 (define @t116 () (and @t115 @t114)) % 0.37/0.72 (define @t117 () (=> @t116 @t113)) % 0.37/0.72 (define @t118 () (@list @t104)) % 0.37/0.72 (define @t119 () (forall @t118 @t117)) % 0.37/0.72 (define @t120 () (_ @t5 @t95)) % 0.37/0.72 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.37/0.72 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.37/0.72 (define @t123 () (or @t122 @t121)) % 0.37/0.72 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.37/0.72 (define @t125 () (and @t124 @t110)) % 0.37/0.72 (define @t126 () (=> @t125 @t123)) % 0.37/0.72 (define @t127 () (@list @t104 @t95)) % 0.37/0.72 (define @t128 () (forall @t127 @t126)) % 0.37/0.72 (define @t129 () (= @t4 @t19)) % 0.37/0.72 (define @t130 () (= @t109 @t105)) % 0.37/0.72 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.37/0.72 (define @t132 () (=> @t131 @t129)) % 0.37/0.72 (define @t133 () (and @t7 @t21)) % 0.37/0.72 (define @t134 () (=> @t133 @t132)) % 0.37/0.72 (define @t135 () (@list @t4 @t19)) % 0.37/0.72 (define @t136 () (forall @t135 @t134)) % 0.37/0.72 (define @t137 () (=> @t124 @t115)) % 0.37/0.72 (define @t138 () (forall @t118 @t137)) % 0.37/0.72 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.37/0.72 (define @t140 () (exists @t41 @t139)) % 0.37/0.72 (define @t141 () (forall @t64 @t140)) % 0.37/0.72 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.37/0.72 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.37/0.72 (define @t144 () (_ @t143 @t4)) % 0.37/0.72 (define @t145 () (lambda @t9 @t144)) % 0.37/0.72 (define @t146 () (_ tptp.descr @t145)) % 0.37/0.72 (define @t147 () (_ @t143 @t146)) % 0.37/0.72 (define @t148 () (_ tptp.exu @t145)) % 0.37/0.72 (define @t149 () (=> @t148 @t147)) % 0.37/0.72 (define @t150 () (@list @t143)) % 0.37/0.72 (define @t151 () (forall @t150 @t149)) % 0.37/0.72 (define @t152 () (= tptp.descrp @t151)) % 0.37/0.72 (define @t153 () (_ @t143 @t19)) % 0.37/0.72 (define @t154 () (lambda @t70 @t153)) % 0.37/0.72 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.37/0.72 (define @t156 () (_ @t155 @t154)) % 0.37/0.72 (define @t157 () (_ @t5 @t156)) % 0.37/0.72 (define @t158 () (=> @t144 @t157)) % 0.37/0.72 (define @t159 () (@list @t2 @t143 @t4)) % 0.37/0.72 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.37/0.72 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.37/0.72 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.37/0.72 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.37/0.72 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.37/0.72 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.37/0.72 (define @t166 () (forall @t70 (=> @t153 @t129))) % 0.37/0.72 (define @t167 () (and @t144 @t166)) % 0.37/0.72 (define @t168 () (exists @t9 @t167)) % 0.37/0.72 (define @t169 () (=> @t148 @t168)) % 0.37/0.72 (define @t170 () (forall @t150 @t169)) % 0.37/0.72 (define @t171 () (= tptp.exuE1 @t170)) % 0.37/0.72 (define @t172 () (@var "Xphi" Bool)) % 0.37/0.72 (define @t173 () (=> (_ @t5 (_ tptp.prop2set @t172)) @t172)) % 0.37/0.72 (define @t174 () (@list @t172 @t4)) % 0.37/0.72 (define @t175 () (forall @t174 @t173)) % 0.37/0.72 (define @t176 () (= tptp.prop2setE @t175)) % 0.37/0.72 (define @t177 () (@list @t172)) % 0.37/0.72 (define @t178 () (forall @t177 @t172)) % 0.37/0.72 (define @t179 () (=> @t15 @t178)) % 0.37/0.72 (define @t180 () (forall @t9 @t179)) % 0.37/0.72 (define @t181 () (= tptp.emptysetE @t180)) % 0.37/0.72 (define @t182 () (forall @t9 (=> @t15 false))) % 0.37/0.72 (define @t183 () (= tptp.emptysetimpfalse @t182)) % 0.37/0.72 (define @t184 () (exists @t9 @t144)) % 0.37/0.72 (define @t185 () (=> @t148 @t184)) % 0.37/0.72 (define @t186 () (forall @t150 @t185)) % 0.37/0.72 (define @t187 () (= tptp.exuE3e @t186)) % 0.37/0.72 (define @t188 () (=> @t32 @t3)) % 0.37/0.72 (define @t189 () (forall @t9 (=> @t7 @t6))) % 0.37/0.72 (define @t190 () (=> @t189 @t188)) % 0.37/0.72 (define @t191 () (forall @t12 @t190)) % 0.37/0.72 (define @t192 () (= tptp.setext @t191)) % 0.37/0.72 (define @t193 () (= @t2 tptp.emptyset)) % 0.37/0.72 (define @t194 () (not @t7)) % 0.37/0.72 (define @t195 () (forall @t9 @t194)) % 0.37/0.72 (define @t196 () (=> @t195 @t193)) % 0.37/0.72 (define @t197 () (forall @t64 @t196)) % 0.37/0.72 (define @t198 () (= tptp.emptyI @t197)) % 0.37/0.72 (define @t199 () (=> @t7 (= @t157 @t144))) % 0.37/0.72 (define @t200 () (forall @t159 @t199)) % 0.37/0.72 (define @t201 () (= tptp.setbeta @t200)) % 0.37/0.72 (define @t202 () (_ tptp.nonempty @t2)) % 0.37/0.72 (define @t203 () (=> @t202 @t89)) % 0.37/0.72 (define @t204 () (forall @t64 @t203)) % 0.37/0.72 (define @t205 () (= tptp.nonemptyE1 @t204)) % 0.37/0.72 (define @t206 () (=> @t144 (_ tptp.nonempty @t156))) % 0.37/0.72 (define @t207 () (=> @t7 @t206)) % 0.37/0.72 (define @t208 () (forall @t159 @t207)) % 0.37/0.72 (define @t209 () (= tptp.nonemptyI @t208)) % 0.37/0.72 (define @t210 () (=> @t89 @t202)) % 0.37/0.72 (define @t211 () (forall @t64 @t210)) % 0.37/0.72 (define @t212 () (= tptp.nonemptyI1 @t211)) % 0.37/0.72 (define @t213 () (_ @t24 @t19)) % 0.37/0.72 (define @t214 () (_ @t5 @t213)) % 0.37/0.72 (define @t215 () (forall @t135 @t214)) % 0.37/0.72 (define @t216 () (= tptp.setadjoinIL @t215)) % 0.37/0.72 (define @t217 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.37/0.72 (define @t218 () (_ @t49 @t217)) % 0.37/0.72 (define @t219 () (forall @t28 (=> @t21 @t26))) % 0.37/0.72 (define @t220 () (= tptp.setadjoinIR @t219)) % 0.37/0.72 (define @t221 () (=> @t21 @t172)) % 0.37/0.72 (define @t222 () (=> @t221 @t172)) % 0.37/0.72 (define @t223 () (=> @t22 @t172)) % 0.37/0.72 (define @t224 () (=> @t223 @t222)) % 0.37/0.72 (define @t225 () (forall @t177 @t224)) % 0.37/0.72 (define @t226 () (=> @t26 @t225)) % 0.37/0.72 (define @t227 () (forall @t28 @t226)) % 0.37/0.72 (define @t228 () (= tptp.setadjoinE @t227)) % 0.37/0.72 (define @t229 () (=> @t26 @t23)) % 0.37/0.72 (define @t230 () (forall @t28 @t229)) % 0.37/0.72 (define @t231 () (= tptp.setadjoinOr @t230)) % 0.37/0.72 (define @t232 () (lambda @t9 true)) % 0.37/0.72 (define @t233 () (= (_ @t155 @t232) @t2)) % 0.37/0.72 (define @t234 () (forall @t64 @t233)) % 0.37/0.72 (define @t235 () (= tptp.setoftrueEq @t234)) % 0.37/0.72 (define @t236 () (=> @t32 @t35)) % 0.37/0.72 (define @t237 () (forall @t12 @t236)) % 0.37/0.72 (define @t238 () (= tptp.powersetI @t237)) % 0.37/0.72 (define @t239 () (_ @t49 @t33)) % 0.37/0.72 (define @t240 () (forall @t64 @t239)) % 0.37/0.72 (define @t241 () (= tptp.emptyinPowerset @t240)) % 0.37/0.72 (define @t242 () (@list @t2 @t1 @t4)) % 0.37/0.72 (define @t243 () (forall @t242 (=> @t35 @t31))) % 0.37/0.72 (define @t244 () (= tptp.powersetE @t243)) % 0.37/0.72 (define @t245 () (=> @t39 @t44)) % 0.37/0.72 (define @t246 () (@list @t2 @t4 @t1)) % 0.37/0.72 (define @t247 () (forall @t246 (=> @t6 @t245))) % 0.37/0.72 (define @t248 () (= tptp.setunionI @t247)) % 0.37/0.72 (define @t249 () (=> @t39 @t172)) % 0.37/0.72 (define @t250 () (forall @t41 (=> @t6 @t249))) % 0.37/0.72 (define @t251 () (=> @t250 @t172)) % 0.37/0.72 (define @t252 () (forall @t177 @t251)) % 0.37/0.72 (define @t253 () (=> @t44 @t252)) % 0.37/0.72 (define @t254 () (forall @t46 @t253)) % 0.37/0.72 (define @t255 () (=> tptp.setunionI @t254)) % 0.37/0.72 (define @t256 () (=> tptp.powersetE @t255)) % 0.37/0.72 (define @t257 () (=> tptp.emptyInPowerset @t256)) % 0.37/0.72 (define @t258 () (=> tptp.emptyinPowerset @t257)) % 0.37/0.72 (define @t259 () (=> tptp.powersetI @t258)) % 0.37/0.72 (define @t260 () (=> tptp.setoftrueEq @t259)) % 0.37/0.72 (define @t261 () (=> tptp.setadjoinOr @t260)) % 0.37/0.72 (define @t262 () (=> tptp.setadjoinE @t261)) % 0.37/0.72 (define @t263 () (=> tptp.setadjoinIR @t262)) % 0.37/0.72 (define @t264 () (=> tptp.emptyinunitempty @t263)) % 0.37/0.72 (define @t265 () (=> tptp.setadjoinIL @t264)) % 0.37/0.72 (define @t266 () (=> tptp.nonemptyI1 @t265)) % 0.37/0.72 (define @t267 () (=> tptp.nonemptyI @t266)) % 0.37/0.72 (define @t268 () (=> tptp.nonemptyE1 @t267)) % 0.37/0.72 (define @t269 () (=> tptp.setbeta @t268)) % 0.37/0.72 (define @t270 () (=> tptp.noeltsimpempty @t269)) % 0.37/0.72 (define @t271 () (=> tptp.emptyI @t270)) % 0.37/0.72 (define @t272 () (=> tptp.setext @t271)) % 0.37/0.72 (define @t273 () (=> tptp.exuE3e @t272)) % 0.37/0.72 (define @t274 () (=> tptp.notinemptyset @t273)) % 0.37/0.72 (define @t275 () (=> tptp.emptysetimpfalse @t274)) % 0.37/0.72 (define @t276 () (=> tptp.emptysetE @t275)) % 0.37/0.72 (define @t277 () (=> tptp.prop2setE @t276)) % 0.37/0.72 (define @t278 () (=> tptp.exuE1 @t277)) % 0.37/0.72 (define @t279 () (=> tptp.dsetconstrER @t278)) % 0.37/0.72 (define @t280 () (=> tptp.dsetconstrEL @t279)) % 0.37/0.72 (define @t281 () (=> tptp.dsetconstrI @t280)) % 0.37/0.72 (define @t282 () (=> tptp.descrp @t281)) % 0.37/0.72 (define @t283 () (=> tptp.wellorderingAx @t282)) % 0.37/0.72 (define @t284 () (=> tptp.foundationAx @t283)) % 0.37/0.72 (define @t285 () (=> tptp.replAx @t284)) % 0.37/0.72 (define @t286 () (=> tptp.omegaIndAx @t285)) % 0.37/0.72 (define @t287 () (=> tptp.omegaSAx @t286)) % 0.37/0.72 (define @t288 () (=> tptp.omega0Ax @t287)) % 0.37/0.72 (define @t289 () (=> tptp.setunionAx @t288)) % 0.37/0.72 (define @t290 () (=> tptp.powersetAx @t289)) % 0.37/0.72 (define @t291 () (=> tptp.setadjoinAx @t290)) % 0.37/0.72 (define @t292 () (=> tptp.emptysetAx @t291)) % 0.37/0.72 (define @t293 () (=> tptp.setextAx @t292)) % 0.37/0.72 (define @t294 () (not @t293)) % 0.37/0.72 (define @t295 () (lambda @t150 @t168)) % 0.37/0.72 (define @t296 () (lambda @t9 @t172)) % 0.37/0.72 (define @t297 () (_ tptp.powerset tptp.emptyset)) % 0.37/0.72 (define @t298 () (_ tptp.dsetconstr @t297)) % 0.37/0.72 (define @t299 () (_ @t298 @t296)) % 0.37/0.72 (define @t300 () (lambda @t177 @t299)) % 0.37/0.72 (define @t301 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.37/0.72 (define @t302 () (tptp.in @t1 @t2)) % 0.37/0.72 (define @t303 () (not @t302)) % 0.37/0.72 (define @t304 () (tptp.in @t4 @t1)) % 0.37/0.72 (define @t305 () (not @t304)) % 0.37/0.72 (define @t306 () (forall @t41 (or @t305 @t303))) % 0.37/0.72 (define @t307 () (not @t306)) % 0.37/0.72 (define @t308 () (tptp.setunion @t2)) % 0.37/0.72 (define @t309 () (tptp.in @t4 @t308)) % 0.37/0.72 (define @t310 () (forall @t46 (or (not @t309) @t307))) % 0.37/0.72 (define @t311 () (tptp.in @t4 @t2)) % 0.37/0.72 (define @t312 () (tptp.powerset @t2)) % 0.37/0.72 (define @t313 () (tptp.in @t1 @t312)) % 0.37/0.72 (define @t314 () (tptp.in tptp.emptyset @t312)) % 0.37/0.72 (define @t315 () (forall @t64 @t314)) % 0.37/0.72 (define @t316 () (forall @t9 (or @t305 @t311))) % 0.37/0.72 (define @t317 () (not @t316)) % 0.37/0.72 (define @t318 () (@var "BOUND_VARIABLE_15590" $$unsorted)) % 0.37/0.72 (define @t319 () (lambda (@list @t318) true)) % 0.37/0.72 (define @t320 () (tptp.dsetconstr @t2 @t319)) % 0.37/0.72 (define @t321 () (tptp.in @t19 @t2)) % 0.37/0.72 (define @t322 () (tptp.setadjoin @t4 @t2)) % 0.37/0.72 (define @t323 () (tptp.in @t19 @t322)) % 0.37/0.72 (define @t324 () (forall @t28 (or (not @t323) @t129 @t321))) % 0.37/0.72 (define @t325 () (not @t321)) % 0.37/0.72 (define @t326 () (=> (forall @t28 (or @t325 @t323)) (=> @t324 (=> @t324 (=> (forall @t64 (= @t2 @t320)) (=> (forall @t12 (or @t317 @t313)) (=> @t315 (=> @t315 (=> (forall @t242 (or (not @t313) @t305 @t311)) (=> (forall @t246 (or @t305 @t303 @t309)) @t310)))))))))) % 0.37/0.72 (define @t327 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.37/0.72 (define @t328 () (tptp.in tptp.emptyset @t327)) % 0.37/0.72 (define @t329 () (=> @t218 @t326)) % 0.37/0.72 (define @t330 () (tptp.setadjoin @t4 @t19)) % 0.37/0.72 (define @t331 () (tptp.in @t4 @t330)) % 0.37/0.72 (define @t332 () (forall @t135 @t331)) % 0.37/0.72 (define @t333 () (=> @t332 @t329)) % 0.37/0.72 (define @t334 () (@var "BOUND_VARIABLE_8515" $$unsorted)) % 0.37/0.72 (define @t335 () (not (tptp.in @t334 tptp.emptyset))) % 0.37/0.72 (define @t336 () (@list @t334)) % 0.37/0.72 (define @t337 () (forall @t336 @t335)) % 0.37/0.72 (define @t338 () (=> @t337 @t333)) % 0.37/0.72 (define @t339 () (tptp.dsetconstr @t2 @t143)) % 0.37/0.72 (define @t340 () (_ @t143 @t4)) % 0.37/0.72 (define @t341 () (not @t340)) % 0.37/0.72 (define @t342 () (not @t311)) % 0.37/0.72 (define @t343 () (forall @t159 (or @t342 @t341 (not (= tptp.emptyset @t339))))) % 0.37/0.72 (define @t344 () (=> @t343 @t338)) % 0.37/0.72 (define @t345 () (forall @t9 @t342)) % 0.37/0.72 (define @t346 () (not @t345)) % 0.37/0.72 (define @t347 () (forall @t64 (or @t193 @t346))) % 0.37/0.72 (define @t348 () (=> @t347 @t344)) % 0.37/0.72 (define @t349 () (tptp.in @t4 @t339)) % 0.37/0.72 (define @t350 () (forall @t159 (or @t342 (= @t340 @t349)))) % 0.37/0.72 (define @t351 () (=> @t350 @t348)) % 0.37/0.72 (define @t352 () (forall @t64 (or @t346 @t193))) % 0.37/0.72 (define @t353 () (=> @t352 @t351)) % 0.37/0.72 (define @t354 () (=> @t352 @t353)) % 0.37/0.72 (define @t355 () (forall @t9 (or @t342 @t304))) % 0.37/0.72 (define @t356 () (not @t355)) % 0.37/0.72 (define @t357 () (or @t356 @t317 @t3)) % 0.37/0.72 (define @t358 () (forall @t12 @t357)) % 0.37/0.72 (define @t359 () (=> @t358 @t354)) % 0.37/0.72 (define @t360 () (@var "BOUND_VARIABLE_8412" $$unsorted)) % 0.37/0.72 (define @t361 () (_ @t143 @t19)) % 0.37/0.72 (define @t362 () (not @t361)) % 0.37/0.72 (define @t363 () (not (_ @t143 @t360))) % 0.37/0.72 (define @t364 () (not (forall @t9 @t341))) % 0.37/0.72 (define @t365 () (@list @t143 @t360)) % 0.37/0.72 (define @t366 () (forall @t365 (or @t364 @t363 (not (forall @t70 (or @t362 (= @t19 @t360))))))) % 0.37/0.72 (define @t367 () (=> @t366 @t359)) % 0.37/0.72 (define @t368 () (tptp.in @t4 tptp.emptyset)) % 0.37/0.72 (define @t369 () (forall @t9 (not @t368))) % 0.37/0.72 (define @t370 () (=> @t369 @t367)) % 0.37/0.72 (define @t371 () (=> @t369 @t370)) % 0.37/0.72 (define @t372 () (=> @t369 @t371)) % 0.37/0.72 (define @t373 () (@var "BOUND_VARIABLE_10091" $$unsorted)) % 0.37/0.72 (define @t374 () (lambda (@list @t373) false)) % 0.37/0.72 (define @t375 () (tptp.powerset tptp.emptyset)) % 0.37/0.72 (define @t376 () (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t375 @t374))))) % 0.37/0.72 (define @t377 () (=> @t376 @t372)) % 0.37/0.72 (define @t378 () (not @t349)) % 0.37/0.72 (define @t379 () (forall @t159 (or @t378 @t340))) % 0.37/0.72 (define @t380 () (=> @t379 @t377)) % 0.37/0.72 (define @t381 () (forall @t159 (or @t378 @t311))) % 0.37/0.72 (define @t382 () (=> @t381 @t380)) % 0.37/0.72 (define @t383 () (forall @t159 (or @t342 @t341 @t349))) % 0.37/0.72 (define @t384 () (=> @t383 @t382)) % 0.37/0.72 (define @t385 () (@var "BOUND_VARIABLE_8283" $$unsorted)) % 0.37/0.72 (define @t386 () (not (_ @t143 @t385))) % 0.37/0.72 (define @t387 () (_ @t143 (tptp.descr @t143))) % 0.37/0.72 (define @t388 () (@list @t143 @t385)) % 0.37/0.72 (define @t389 () (forall @t388 (or @t387 @t386 (not (forall @t70 (or @t362 (= @t19 @t385))))))) % 0.37/0.72 (define @t390 () (=> @t389 @t384)) % 0.37/0.72 (define @t391 () (@var "BOUND_VARIABLE_8203" $$unsorted)) % 0.37/0.72 (define @t392 () (tptp.in @t391 @t95)) % 0.37/0.72 (define @t393 () (not (tptp.in @t391 @t93))) % 0.37/0.72 (define @t394 () (tptp.in @t4 @t93)) % 0.37/0.72 (define @t395 () (tptp.in @t93 @t1)) % 0.37/0.72 (define @t396 () (not @t395)) % 0.37/0.72 (define @t397 () (or @t396 @t394 @t393 @t392)) % 0.37/0.72 (define @t398 () (@list @t93 @t391)) % 0.37/0.72 (define @t399 () (forall @t398 @t397)) % 0.37/0.72 (define @t400 () (not @t399)) % 0.37/0.72 (define @t401 () (tptp.in @t19 @t104)) % 0.37/0.72 (define @t402 () (tptp.in @t19 @t95)) % 0.37/0.72 (define @t403 () (forall @t70 (or (not @t402) (not @t401)))) % 0.37/0.72 (define @t404 () (not @t403)) % 0.37/0.72 (define @t405 () (tptp.in @t4 @t104)) % 0.37/0.72 (define @t406 () (not @t405)) % 0.37/0.72 (define @t407 () (tptp.in @t95 @t1)) % 0.37/0.72 (define @t408 () (not @t407)) % 0.37/0.72 (define @t409 () (not (forall @t112 (or @t408 @t406 @t404 @t400)))) % 0.37/0.72 (define @t410 () (@var "BOUND_VARIABLE_8232" $$unsorted)) % 0.37/0.72 (define @t411 () (not (tptp.in @t410 @t104))) % 0.37/0.72 (define @t412 () (forall @t9 (or @t406 @t311))) % 0.37/0.72 (define @t413 () (not @t412)) % 0.37/0.72 (define @t414 () (or @t413 @t411 @t409)) % 0.37/0.72 (define @t415 () (forall (@list @t104 @t410) @t414)) % 0.37/0.72 (define @t416 () (not @t415)) % 0.37/0.72 (define @t417 () (@var "BOUND_VARIABLE_8155" $$unsorted)) % 0.37/0.72 (define @t418 () (tptp.in @t417 @t104)) % 0.37/0.72 (define @t419 () (not (tptp.in @t417 @t95))) % 0.37/0.72 (define @t420 () (@var "BOUND_VARIABLE_8149" $$unsorted)) % 0.37/0.72 (define @t421 () (tptp.in @t420 @t95)) % 0.37/0.72 (define @t422 () (not (tptp.in @t420 @t104))) % 0.37/0.72 (define @t423 () (tptp.in @t104 @t1)) % 0.37/0.72 (define @t424 () (not @t423)) % 0.37/0.72 (define @t425 () (or @t424 @t408 @t422 @t421 @t419 @t418)) % 0.37/0.72 (define @t426 () (@list @t104 @t95 @t420 @t417)) % 0.37/0.72 (define @t427 () (forall @t426 @t425)) % 0.37/0.72 (define @t428 () (not @t427)) % 0.37/0.72 (define @t429 () (forall @t118 (or @t424 (= @t405 @t401)))) % 0.37/0.72 (define @t430 () (not @t429)) % 0.37/0.72 (define @t431 () (forall @t135 (or @t342 @t325 @t430 @t129))) % 0.37/0.72 (define @t432 () (not @t431)) % 0.37/0.72 (define @t433 () (@var "BOUND_VARIABLE_8098" $$unsorted)) % 0.37/0.72 (define @t434 () (tptp.in @t433 @t2)) % 0.37/0.72 (define @t435 () (not (tptp.in @t433 @t104))) % 0.37/0.72 (define @t436 () (or @t424 @t435 @t434)) % 0.37/0.72 (define @t437 () (@list @t104 @t433)) % 0.37/0.72 (define @t438 () (forall @t437 @t436)) % 0.37/0.72 (define @t439 () (not @t438)) % 0.37/0.72 (define @t440 () (or @t439 @t432 @t428 @t416)) % 0.37/0.72 (define @t441 () (forall @t64 (not (forall @t41 @t440)))) % 0.37/0.72 (define @t442 () (=> @t441 @t390)) % 0.37/0.72 (define @t443 () (forall @t9 (or @t305 @t342))) % 0.37/0.72 (define @t444 () (not @t443)) % 0.37/0.72 (define @t445 () (not (forall @t41 (or @t303 @t444)))) % 0.37/0.72 (define @t446 () (@var "BOUND_VARIABLE_8073" $$unsorted)) % 0.37/0.72 (define @t447 () (not (tptp.in @t446 @t2))) % 0.37/0.72 (define @t448 () (or @t447 @t445)) % 0.37/0.72 (define @t449 () (forall (@list @t2 @t446) @t448)) % 0.37/0.72 (define @t450 () (=> @t449 @t442)) % 0.37/0.72 (define @t451 () (_ @t67 @t19 @t4)) % 0.37/0.72 (define @t452 () (not (forall @t70 (or @t325 (not @t451))))) % 0.37/0.72 (define @t453 () (forall @t9 (= @t304 @t452))) % 0.37/0.72 (define @t454 () (not (forall @t41 (not @t453)))) % 0.37/0.72 (define @t455 () (@var "BOUND_VARIABLE_7963" $$unsorted)) % 0.37/0.72 (define @t456 () (= @t19 @t455)) % 0.37/0.72 (define @t457 () (_ @t67 @t4 @t19)) % 0.37/0.72 (define @t458 () (not (forall @t70 (or (not @t457) @t456)))) % 0.37/0.72 (define @t459 () (_ @t67 @t4 @t455)) % 0.37/0.72 (define @t460 () (@list @t455)) % 0.37/0.72 (define @t461 () (not (forall @t460 (or (not @t459) @t458)))) % 0.37/0.72 (define @t462 () (forall @t9 (or @t342 @t461))) % 0.37/0.73 (define @t463 () (forall @t81 (or (not @t462) @t454))) % 0.37/0.73 (define @t464 () (=> @t463 @t450)) % 0.37/0.73 (define @t465 () (@var "BOUND_VARIABLE_7944" $$unsorted)) % 0.37/0.73 (define @t466 () (tptp.in @t465 @t2)) % 0.37/0.73 (define @t467 () (not (tptp.in @t465 tptp.omega))) % 0.37/0.73 (define @t468 () (tptp.setadjoin @t4 @t4)) % 0.37/0.73 (define @t469 () (tptp.in @t468 @t2)) % 0.37/0.73 (define @t470 () (tptp.in @t4 tptp.omega)) % 0.37/0.73 (define @t471 () (not @t470)) % 0.37/0.73 (define @t472 () (forall @t9 (or @t471 @t342 @t469))) % 0.37/0.73 (define @t473 () (not @t472)) % 0.37/0.73 (define @t474 () (tptp.in tptp.emptyset @t2)) % 0.37/0.73 (define @t475 () (not @t474)) % 0.37/0.73 (define @t476 () (or @t475 @t473 @t467 @t466)) % 0.37/0.73 (define @t477 () (@list @t2 @t465)) % 0.37/0.73 (define @t478 () (forall @t477 @t476)) % 0.37/0.73 (define @t479 () (=> @t478 @t464)) % 0.37/0.73 (define @t480 () (tptp.in @t468 tptp.omega)) % 0.37/0.73 (define @t481 () (forall @t9 (or @t471 @t480))) % 0.37/0.73 (define @t482 () (=> @t481 @t479)) % 0.37/0.73 (define @t483 () (tptp.in tptp.emptyset tptp.omega)) % 0.37/0.73 (define @t484 () (=> @t50 @t482)) % 0.37/0.73 (define @t485 () (forall @t46 (= @t307 @t309))) % 0.37/0.73 (define @t486 () (=> @t485 @t484)) % 0.37/0.73 (define @t487 () (forall @t12 (= @t316 @t313))) % 0.37/0.73 (define @t488 () (=> @t487 @t486)) % 0.37/0.73 (define @t489 () (or @t129 @t321)) % 0.37/0.73 (define @t490 () (forall @t28 (= @t323 @t489))) % 0.37/0.73 (define @t491 () (=> @t490 @t488)) % 0.37/0.73 (define @t492 () (=> @t369 @t491)) % 0.37/0.73 (define @t493 () (forall @t9 (= @t311 @t304))) % 0.37/0.73 (define @t494 () (forall @t12 (or (not @t493) @t3))) % 0.37/0.73 (define @t495 () (=> @t494 @t492)) % 0.37/0.73 (define @t496 () (=> @t379 (=> true @t377))) % 0.37/0.73 (define @t497 () (=> @t381 @t496)) % 0.37/0.73 (define @t498 () (=> @t383 @t497)) % 0.37/0.73 (define @t499 () (=> @t389 @t498)) % 0.37/0.73 (define @t500 () (=> @t441 @t499)) % 0.37/0.73 (define @t501 () (=> @t449 @t500)) % 0.37/0.73 (define @t502 () (=> @t463 @t501)) % 0.37/0.73 (define @t503 () (=> @t478 @t502)) % 0.37/0.73 (define @t504 () (=> @t481 @t503)) % 0.37/0.73 (define @t505 () (=> @t50 @t504)) % 0.37/0.73 (define @t506 () (=> @t485 @t505)) % 0.37/0.73 (define @t507 () (=> @t487 @t506)) % 0.37/0.73 (define @t508 () (=> @t490 @t507)) % 0.37/0.73 (define @t509 () (=> @t369 @t508)) % 0.37/0.73 (define @t510 () (=> @t494 @t509)) % 0.37/0.73 (define @t511 () (not @t39)) % 0.37/0.73 (define @t512 () (not @t6)) % 0.37/0.73 (define @t513 () (or @t512 @t511 @t44)) % 0.37/0.73 (define @t514 () (=> tptp.setunionI @t310)) % 0.37/0.73 (define @t515 () (not @t35)) % 0.37/0.73 (define @t516 () (or @t515 @t512 @t7)) % 0.37/0.73 (define @t517 () (or @t512 @t7)) % 0.37/0.73 (define @t518 () (=> tptp.powersetE @t514)) % 0.37/0.73 (define @t519 () (=> tptp.emptyInPowerset @t518)) % 0.37/0.73 (define @t520 () (=> tptp.emptyinPowerset @t519)) % 0.37/0.73 (define @t521 () (or @t317 @t35)) % 0.37/0.73 (define @t522 () (=> tptp.powersetI @t520)) % 0.37/0.73 (define @t523 () (_ @t155 @t319)) % 0.37/0.73 (define @t524 () (= @t2 @t523)) % 0.37/0.73 (define @t525 () (@list @t4)) % 0.37/0.73 (define @t526 () (=> tptp.setoftrueEq @t522)) % 0.37/0.73 (define @t527 () (not @t26)) % 0.37/0.73 (define @t528 () (or @t527 @t129 @t21)) % 0.37/0.73 (define @t529 () (or @t129 @t21)) % 0.37/0.73 (define @t530 () (=> tptp.setadjoinOr @t526)) % 0.37/0.73 (define @t531 () (or @t527 @t129 @t321)) % 0.37/0.73 (define @t532 () (not false)) % 0.37/0.73 (define @t533 () (and @t321 @t532)) % 0.37/0.73 (define @t534 () (and @t129 @t532)) % 0.37/0.73 (define @t535 () (or @t534 @t533)) % 0.37/0.73 (define @t536 () (or @t534 @t533 false)) % 0.37/0.73 (define @t537 () (not @t172)) % 0.37/0.73 (define @t538 () (and @t321 @t537)) % 0.37/0.73 (define @t539 () (and @t129 @t537)) % 0.37/0.73 (define @t540 () (not (= @t172 false))) % 0.37/0.73 (define @t541 () (or @t172 @t539 @t538 @t172)) % 0.37/0.73 (define @t542 () (or @t539 @t538 @t172)) % 0.37/0.73 (define @t543 () (and @t21 @t537)) % 0.37/0.73 (define @t544 () (or @t539 @t543 @t172)) % 0.37/0.73 (define @t545 () (=> @t129 @t172)) % 0.37/0.73 (define @t546 () (=> tptp.setadjoinE @t530)) % 0.37/0.73 (define @t547 () (not @t21)) % 0.37/0.73 (define @t548 () (or @t547 @t26)) % 0.37/0.73 (define @t549 () (=> tptp.setadjoinIR @t546)) % 0.37/0.73 (define @t550 () (=> tptp.emptyinunitempty @t549)) % 0.37/0.73 (define @t551 () (=> tptp.setadjoinIL @t550)) % 0.37/0.73 (define @t552 () (not (= tptp.emptyset tptp.emptyset))) % 0.37/0.73 (define @t553 () (or @t335 @t552)) % 0.37/0.73 (define @t554 () (not @t193)) % 0.37/0.73 (define @t555 () (not (tptp.in @t334 @t2))) % 0.37/0.73 (define @t556 () (or @t554 @t555 @t554)) % 0.37/0.73 (define @t557 () (or @t555 @t554)) % 0.37/0.73 (define @t558 () (forall @t64 @t557)) % 0.37/0.73 (define @t559 () (forall @t336 @t558)) % 0.37/0.73 (define @t560 () (forall (@list @t334 @t2) @t557)) % 0.37/0.73 (define @t561 () (forall (@list @t2 @t334) @t557)) % 0.37/0.73 (define @t562 () (forall @t336 @t557)) % 0.37/0.73 (define @t563 () (forall @t336 @t555)) % 0.37/0.73 (define @t564 () (or @t563 @t554)) % 0.37/0.73 (define @t565 () (not @t346)) % 0.37/0.73 (define @t566 () (_ @t301 @t2)) % 0.37/0.73 (define @t567 () (not @t195)) % 0.37/0.73 (define @t568 () (=> @t89 @t566)) % 0.37/0.73 (define @t569 () (forall @t64 @t568)) % 0.37/0.73 (define @t570 () (=> tptp.nonemptyI1 @t551)) % 0.37/0.73 (define @t571 () (lambda @t70 @t361)) % 0.37/0.73 (define @t572 () (tptp.dsetconstr @t2 @t571)) % 0.37/0.73 (define @t573 () (= tptp.emptyset @t572)) % 0.37/0.73 (define @t574 () (not @t573)) % 0.37/0.73 (define @t575 () (or @t342 @t341 @t574)) % 0.37/0.73 (define @t576 () (= tptp.emptyset @t156)) % 0.37/0.73 (define @t577 () (not @t576)) % 0.37/0.73 (define @t578 () (not @t144)) % 0.37/0.73 (define @t579 () (or @t194 @t578 @t577)) % 0.37/0.73 (define @t580 () (=> @t144 @t577)) % 0.37/0.73 (define @t581 () (not (= @t156 tptp.emptyset))) % 0.37/0.73 (define @t582 () (_ @t301 @t156)) % 0.37/0.73 (define @t583 () (=> @t144 @t582)) % 0.37/0.73 (define @t584 () (=> @t7 @t583)) % 0.37/0.73 (define @t585 () (forall @t159 @t584)) % 0.37/0.73 (define @t586 () (=> tptp.nonemptyI @t570)) % 0.37/0.73 (define @t587 () (=> @t566 @t89)) % 0.37/0.73 (define @t588 () (forall @t64 @t587)) % 0.37/0.73 (define @t589 () (=> tptp.nonemptyE1 @t586)) % 0.37/0.73 (define @t590 () (tptp.in @t4 @t572)) % 0.37/0.73 (define @t591 () (= @t340 @t590)) % 0.37/0.73 (define @t592 () (or @t342 @t591)) % 0.37/0.73 (define @t593 () (= @t144 @t157)) % 0.37/0.73 (define @t594 () (or @t194 @t593)) % 0.37/0.73 (define @t595 () (=> tptp.setbeta @t589)) % 0.37/0.73 (define @t596 () (=> tptp.noeltsimpempty @t595)) % 0.37/0.73 (define @t597 () (=> tptp.emptyI @t596)) % 0.37/0.73 (define @t598 () (=> @t316 @t3)) % 0.37/0.73 (define @t599 () (or @t194 @t6)) % 0.37/0.73 (define @t600 () (=> tptp.setext @t597)) % 0.37/0.73 (define @t601 () (or @t362 (= @t360 @t19))) % 0.37/0.73 (define @t602 () (forall @t70 @t601)) % 0.37/0.73 (define @t603 () (not @t602)) % 0.37/0.73 (define @t604 () (or @t364 @t363 @t603)) % 0.37/0.73 (define @t605 () (or @t363 @t603)) % 0.37/0.73 (define @t606 () (or @t605 @t364)) % 0.37/0.73 (define @t607 () (forall @t365 @t606)) % 0.37/0.73 (define @t608 () (@list @t360)) % 0.37/0.73 (define @t609 () (forall @t608 @t606)) % 0.37/0.73 (define @t610 () (forall @t608 @t605)) % 0.37/0.73 (define @t611 () (or @t610 @t364)) % 0.37/0.73 (define @t612 () (forall @t70 (or @t362 @t129))) % 0.37/0.73 (define @t613 () (not @t612)) % 0.37/0.73 (define @t614 () (forall @t9 (or @t341 @t613))) % 0.37/0.73 (define @t615 () (not @t614)) % 0.37/0.73 (define @t616 () (not @t615)) % 0.37/0.73 (define @t617 () (forall @t9 @t578)) % 0.37/0.73 (define @t618 () (not @t617)) % 0.37/0.73 (define @t619 () (or @t578 @t613)) % 0.37/0.73 (define @t620 () (not @t153)) % 0.37/0.73 (define @t621 () (or @t620 @t129)) % 0.37/0.73 (define @t622 () (_ @t145 @t19)) % 0.37/0.73 (define @t623 () (not @t622)) % 0.37/0.73 (define @t624 () (or @t623 @t129)) % 0.37/0.73 (define @t625 () (forall @t70 @t624)) % 0.37/0.73 (define @t626 () (not @t625)) % 0.37/0.73 (define @t627 () (_ @t145 @t4)) % 0.37/0.73 (define @t628 () (not @t627)) % 0.37/0.73 (define @t629 () (or @t628 @t626)) % 0.37/0.73 (define @t630 () (forall @t9 @t629)) % 0.37/0.73 (define @t631 () (not @t630)) % 0.37/0.73 (define @t632 () (lambda @t150 @t615)) % 0.37/0.73 (define @t633 () (_ @t632 @t145)) % 0.37/0.73 (define @t634 () (=> @t633 @t184)) % 0.37/0.73 (define @t635 () (forall @t150 @t634)) % 0.37/0.73 (define @t636 () (and @t144 @t612)) % 0.37/0.73 (define @t637 () (forall @t9 (not @t636))) % 0.37/0.73 (define @t638 () (not @t637)) % 0.37/0.73 (define @t639 () (=> tptp.exuE3e @t600)) % 0.37/0.73 (define @t640 () (=> tptp.notinemptyset @t639)) % 0.37/0.73 (define @t641 () (=> tptp.emptysetimpfalse @t640)) % 0.37/0.73 (define @t642 () (or @t172 @t172)) % 0.37/0.73 (define @t643 () (=> tptp.emptysetE @t641)) % 0.37/0.73 (define @t644 () (@var "BOUND_VARIABLE_8357" $$unsorted)) % 0.37/0.73 (define @t645 () (@list @t644)) % 0.37/0.73 (define @t646 () (lambda @t645 false)) % 0.37/0.73 (define @t647 () (@list @t644)) % 0.37/0.73 (define @t648 () (tptp.dsetconstr @t375 @t646)) % 0.37/0.73 (define @t649 () (tptp.in @t4 @t648)) % 0.37/0.73 (define @t650 () (not @t649)) % 0.37/0.73 (define @t651 () (or @t650 false)) % 0.37/0.73 (define @t652 () (lambda @t645 @t172)) % 0.37/0.73 (define @t653 () (tptp.dsetconstr @t375 @t652)) % 0.37/0.73 (define @t654 () (tptp.in @t4 @t653)) % 0.37/0.73 (define @t655 () (not @t654)) % 0.37/0.73 (define @t656 () (or @t172 @t655 @t172)) % 0.37/0.73 (define @t657 () (or @t655 @t172)) % 0.37/0.73 (define @t658 () (forall @t177 @t657)) % 0.37/0.73 (define @t659 () (forall @t9 @t658)) % 0.37/0.73 (define @t660 () (forall (@list @t4 @t172) @t657)) % 0.37/0.73 (define @t661 () (_ @t298 @t652)) % 0.37/0.73 (define @t662 () (_ @t5 @t661)) % 0.37/0.73 (define @t663 () (not @t662)) % 0.37/0.73 (define @t664 () (or @t663 @t172)) % 0.37/0.73 (define @t665 () (=> (_ @t5 @t299) @t172)) % 0.37/0.73 (define @t666 () (_ @t300 @t172)) % 0.37/0.73 (define @t667 () (=> (_ @t5 @t666) @t172)) % 0.37/0.73 (define @t668 () (forall @t174 @t667)) % 0.37/0.73 (define @t669 () (=> tptp.prop2setE @t643)) % 0.37/0.73 (define @t670 () (=> @t633 @t168)) % 0.37/0.73 (define @t671 () (forall @t150 @t670)) % 0.37/0.73 (define @t672 () (=> tptp.exuE1 @t669)) % 0.37/0.73 (define @t673 () (not @t590)) % 0.37/0.73 (define @t674 () (or @t673 @t340)) % 0.37/0.73 (define @t675 () (not @t157)) % 0.37/0.73 (define @t676 () (or @t675 @t144)) % 0.37/0.73 (define @t677 () (=> tptp.dsetconstrER @t672)) % 0.37/0.73 (define @t678 () (or @t673 @t311)) % 0.37/0.73 (define @t679 () (or @t675 @t7)) % 0.37/0.73 (define @t680 () (=> tptp.dsetconstrEL @t677)) % 0.37/0.73 (define @t681 () (or @t342 @t341 @t590)) % 0.37/0.73 (define @t682 () (or @t194 @t578 @t157)) % 0.37/0.73 (define @t683 () (=> tptp.dsetconstrI @t680)) % 0.37/0.73 (define @t684 () (or @t362 (= @t385 @t19))) % 0.37/0.73 (define @t685 () (forall @t70 @t684)) % 0.37/0.73 (define @t686 () (not @t685)) % 0.37/0.73 (define @t687 () (or @t387 @t386 @t686)) % 0.37/0.73 (define @t688 () (or @t386 @t686)) % 0.37/0.73 (define @t689 () (or @t688 @t387)) % 0.37/0.73 (define @t690 () (forall @t388 @t689)) % 0.37/0.73 (define @t691 () (@list @t385)) % 0.37/0.73 (define @t692 () (forall @t691 @t689)) % 0.37/0.73 (define @t693 () (forall @t691 @t688)) % 0.37/0.73 (define @t694 () (or @t693 @t387)) % 0.37/0.73 (define @t695 () (lambda @t9 @t340)) % 0.37/0.73 (define @t696 () (tptp.descr @t695)) % 0.37/0.73 (define @t697 () (_ @t143 @t696)) % 0.37/0.73 (define @t698 () (or @t614 @t697)) % 0.37/0.73 (define @t699 () (or @t614 @t147)) % 0.37/0.73 (define @t700 () (=> @t633 @t147)) % 0.37/0.73 (define @t701 () (forall @t150 @t700)) % 0.37/0.73 (define @t702 () (=> tptp.descrp @t683)) % 0.37/0.73 (define @t703 () (and @t438 @t431 @t427 @t415)) % 0.37/0.73 (define @t704 () (forall @t41 (not @t703))) % 0.37/0.73 (define @t705 () (not @t704)) % 0.37/0.73 (define @t706 () (@list @t410)) % 0.37/0.73 (define @t707 () (forall @t706 @t414)) % 0.37/0.73 (define @t708 () (forall @t706 @t411)) % 0.37/0.73 (define @t709 () (or @t413 @t708 @t409)) % 0.37/0.73 (define @t710 () (forall @t9 @t406)) % 0.37/0.73 (define @t711 () (or @t413 @t710 @t409)) % 0.37/0.73 (define @t712 () (not @t710)) % 0.37/0.73 (define @t713 () (and @t412 @t712)) % 0.37/0.73 (define @t714 () (not @t109)) % 0.37/0.73 (define @t715 () (not @t110)) % 0.37/0.73 (define @t716 () (or @t715 @t714 @t404 @t400)) % 0.37/0.73 (define @t717 () (and @t110 @t109 @t403 @t399)) % 0.37/0.73 (define @t718 () (forall @t112 (not @t717))) % 0.37/0.73 (define @t719 () (not @t718)) % 0.37/0.73 (define @t720 () (or @t393 @t392)) % 0.37/0.73 (define @t721 () (or @t396 @t720 @t394)) % 0.37/0.73 (define @t722 () (forall @t398 @t721)) % 0.37/0.73 (define @t723 () (@list @t391)) % 0.37/0.73 (define @t724 () (forall @t723 @t721)) % 0.37/0.73 (define @t725 () (forall @t723 @t720)) % 0.37/0.73 (define @t726 () (or @t396 @t725 @t394)) % 0.37/0.73 (define @t727 () (tptp.in @t19 @t93)) % 0.37/0.73 (define @t728 () (forall @t70 (or (not @t727) @t402))) % 0.37/0.73 (define @t729 () (not @t100)) % 0.37/0.73 (define @t730 () (or @t729 @t728 @t94)) % 0.37/0.73 (define @t731 () (or @t728 @t94)) % 0.37/0.73 (define @t732 () (not @t97)) % 0.37/0.73 (define @t733 () (or @t732 @t96)) % 0.37/0.73 (define @t734 () (not @t105)) % 0.37/0.73 (define @t735 () (not @t96)) % 0.37/0.73 (define @t736 () (or @t735 @t734)) % 0.37/0.73 (define @t737 () (forall @t70 (not @t106))) % 0.37/0.73 (define @t738 () (not @t737)) % 0.37/0.73 (define @t739 () (forall @t9 @t714)) % 0.37/0.73 (define @t740 () (not @t739)) % 0.37/0.73 (define @t741 () (or @t714 @t7)) % 0.37/0.73 (define @t742 () (or @t419 @t418)) % 0.37/0.73 (define @t743 () (or @t422 @t421)) % 0.37/0.73 (define @t744 () (or @t424 @t408 @t743 @t742)) % 0.37/0.73 (define @t745 () (forall @t426 @t744)) % 0.37/0.73 (define @t746 () (forall (@list @t420 @t417) @t744)) % 0.37/0.73 (define @t747 () (forall (@list @t417) @t742)) % 0.37/0.73 (define @t748 () (forall (@list @t420) @t743)) % 0.37/0.73 (define @t749 () (or @t424 @t408 @t748 @t747)) % 0.37/0.73 (define @t750 () (tptp.in @t4 @t95)) % 0.37/0.73 (define @t751 () (forall @t9 (or (not @t750) @t405))) % 0.37/0.73 (define @t752 () (forall @t9 (or @t406 @t750))) % 0.37/0.73 (define @t753 () (not @t124)) % 0.37/0.73 (define @t754 () (or @t753 @t715 @t752 @t751)) % 0.37/0.73 (define @t755 () (or @t752 @t751)) % 0.37/0.73 (define @t756 () (not @t120)) % 0.37/0.73 (define @t757 () (or @t756 @t109)) % 0.37/0.73 (define @t758 () (or @t714 @t120)) % 0.37/0.73 (define @t759 () (or @t194 @t547 @t430 @t129)) % 0.37/0.73 (define @t760 () (=> @t429 @t129)) % 0.37/0.73 (define @t761 () (or @t753 @t130)) % 0.37/0.73 (define @t762 () (or @t435 @t434)) % 0.37/0.73 (define @t763 () (or @t424 @t762)) % 0.37/0.73 (define @t764 () (forall @t437 @t763)) % 0.37/0.73 (define @t765 () (@list @t433)) % 0.37/0.73 (define @t766 () (forall @t765 @t763)) % 0.37/0.73 (define @t767 () (forall @t765 @t762)) % 0.37/0.73 (define @t768 () (or @t424 @t767)) % 0.37/0.73 (define @t769 () (or @t753 @t412)) % 0.37/0.73 (define @t770 () (=> tptp.wellorderingAx @t702)) % 0.37/0.73 (define @t771 () (@list @t446)) % 0.37/0.73 (define @t772 () (forall @t771 @t448)) % 0.37/0.73 (define @t773 () (forall @t771 @t447)) % 0.37/0.73 (define @t774 () (or @t773 @t445)) % 0.37/0.73 (define @t775 () (or @t511 @t444)) % 0.37/0.73 (define @t776 () (and @t39 @t443)) % 0.37/0.73 (define @t777 () (forall @t41 (not @t776))) % 0.37/0.73 (define @t778 () (not @t777)) % 0.37/0.73 (define @t779 () (or @t512 @t194)) % 0.37/0.73 (define @t780 () (forall @t9 (not @t84))) % 0.37/0.73 (define @t781 () (not @t780)) % 0.37/0.73 (define @t782 () (=> tptp.foundationAx @t770)) % 0.37/0.73 (define @t783 () (= @t6 @t452)) % 0.37/0.73 (define @t784 () (not @t68)) % 0.37/0.73 (define @t785 () (or @t547 @t784)) % 0.37/0.73 (define @t786 () (forall @t70 (not @t69))) % 0.37/0.73 (define @t787 () (not @t786)) % 0.37/0.73 (define @t788 () (or @t194 @t461)) % 0.37/0.73 (define @t789 () (_ @t75 @t455)) % 0.37/0.73 (define @t790 () (not @t789)) % 0.37/0.73 (define @t791 () (or @t790 @t458)) % 0.37/0.73 (define @t792 () (not @t76)) % 0.37/0.73 (define @t793 () (or @t792 @t456)) % 0.37/0.73 (define @t794 () (_ @t77 @t19)) % 0.37/0.73 (define @t795 () (not @t794)) % 0.37/0.73 (define @t796 () (or @t795 @t456)) % 0.37/0.73 (define @t797 () (forall @t70 @t796)) % 0.37/0.73 (define @t798 () (not @t797)) % 0.37/0.73 (define @t799 () (_ @t77 @t455)) % 0.37/0.73 (define @t800 () (not @t799)) % 0.37/0.73 (define @t801 () (or @t800 @t798)) % 0.37/0.73 (define @t802 () (forall @t460 @t801)) % 0.37/0.73 (define @t803 () (not @t802)) % 0.37/0.73 (define @t804 () (not (_ @t143 @t455))) % 0.37/0.73 (define @t805 () (or @t362 (= @t455 @t19))) % 0.37/0.73 (define @t806 () (forall @t70 @t805)) % 0.37/0.73 (define @t807 () (not @t806)) % 0.37/0.73 (define @t808 () (or @t804 @t807)) % 0.37/0.73 (define @t809 () (forall @t460 @t808)) % 0.37/0.73 (define @t810 () (not @t809)) % 0.37/0.73 (define @t811 () (=> @t7 (_ @t632 @t77))) % 0.37/0.73 (define @t812 () (forall @t9 @t811)) % 0.37/0.73 (define @t813 () (=> @t812 @t74)) % 0.37/0.73 (define @t814 () (forall @t81 @t813)) % 0.37/0.73 (define @t815 () (=> tptp.replAx @t782)) % 0.37/0.73 (define @t816 () (or @t467 @t466)) % 0.37/0.73 (define @t817 () (or @t475 @t473 @t816)) % 0.37/0.73 (define @t818 () (forall @t477 @t817)) % 0.37/0.73 (define @t819 () (@list @t465)) % 0.37/0.73 (define @t820 () (forall @t819 @t817)) % 0.37/0.73 (define @t821 () (forall @t819 @t816)) % 0.37/0.73 (define @t822 () (or @t475 @t473 @t821)) % 0.37/0.73 (define @t823 () (forall @t9 (or @t471 @t311))) % 0.37/0.73 (define @t824 () (not @t61)) % 0.37/0.73 (define @t825 () (or @t824 @t473 @t823)) % 0.37/0.73 (define @t826 () (and @t61 @t472)) % 0.37/0.73 (define @t827 () (not @t54)) % 0.37/0.73 (define @t828 () (or @t827 @t7)) % 0.37/0.73 (define @t829 () (_ tptp.in @t468)) % 0.37/0.73 (define @t830 () (or @t827 @t194 @t58)) % 0.37/0.73 (define @t831 () (=> tptp.omegaIndAx @t815)) % 0.37/0.73 (define @t832 () (or @t827 @t53)) % 0.37/0.73 (define @t833 () (=> tptp.omegaSAx @t831)) % 0.37/0.73 (define @t834 () (=> tptp.omega0Ax @t833)) % 0.37/0.73 (define @t835 () (= @t44 @t307)) % 0.37/0.73 (define @t836 () (or @t512 @t511)) % 0.37/0.73 (define @t837 () (forall @t41 @t836)) % 0.37/0.73 (define @t838 () (forall @t41 (not @t40))) % 0.37/0.73 (define @t839 () (not @t838)) % 0.37/0.73 (define @t840 () (=> tptp.setunionAx @t834)) % 0.37/0.73 (define @t841 () (= @t35 @t316)) % 0.37/0.73 (define @t842 () (=> tptp.powersetAx @t840)) % 0.37/0.73 (define @t843 () (= @t26 @t529)) % 0.37/0.73 (define @t844 () (=> tptp.setadjoinAx @t842)) % 0.37/0.73 (define @t845 () (=> tptp.emptysetAx @t844)) % 0.37/0.73 (define @t846 () (=> tptp.setextAx @t845)) % 0.37/0.73 (define @t847 () (not @t44)) % 0.37/0.73 (define @t848 () (or @t847 @t307)) % 0.37/0.73 (define @t849 () (and @t532 @t307)) % 0.37/0.73 (define @t850 () (or @t849 false)) % 0.37/0.73 (define @t851 () (and @t537 @t307)) % 0.37/0.73 (define @t852 () (or @t172 @t851 @t172)) % 0.37/0.73 (define @t853 () (or @t851 @t172)) % 0.37/0.73 (define @t854 () (or @t172 @t306)) % 0.37/0.73 (define @t855 () (or @t172 @t837)) % 0.37/0.73 (define @t856 () (or @t172 @t836)) % 0.37/0.73 (define @t857 () (or @t512 @t511 @t172)) % 0.37/0.73 (define @t858 () (@quantifiers_skolemize @t310 0)) % 0.37/0.73 (define @t859 () (@quantifiers_skolemize @t310 1)) % 0.37/0.73 (define @t860 () (forall @t41 (or (not (tptp.in @t859 @t1)) (not (tptp.in @t1 @t858))))) % 0.37/0.73 (define @t861 () (not @t860)) % 0.37/0.73 (define @t862 () (tptp.in @t859 (tptp.setunion @t858))) % 0.37/0.73 (define @t863 () (not @t862)) % 0.37/0.73 (define @t864 () (or @t863 @t861)) % 0.37/0.73 (define @t865 () (@list true)) % 0.37/0.73 (define @t866 () (@list @t864)) % 0.37/0.73 (define @t867 () (= @t862 @t861)) % 0.37/0.73 (define @t868 () (not @t867)) % 0.37/0.73 (define @t869 () (= @t861 @t862)) % 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 @t248) % 0.37/0.73 (assume @p40 @t294) % 0.37/0.73 (assume @p41 true) % 0.37/0.73 (step @p42 (= tptp.exu @t295) :rule refl :args (@t295)) % 0.37/0.73 (step @p43 (= tptp.prop2set @t300) :rule refl :args (@t300)) % 0.37/0.73 (step @p44 (= tptp.nonempty @t301) :rule refl :args (@t301)) % 0.37/0.73 (step @p45 :rule refl :args (@t326)) % 0.37/0.73 (step @p46 :rule refl :args ((tptp.in tptp.emptyset @t217))) % 0.37/0.73 (step @p47 :rule refl :args (@t327)) % 0.37/0.73 (step @p48 :rule refl :args (tptp.emptyset)) % 0.37/0.73 (step @p49 :rule cong :premises (@p48 @p47) :args (@t328)) % 0.37/0.73 (step @p50 :rule trans :premises (@p49 @p46)) % 0.37/0.73 (step @p51 :rule refl :args (@t49)) % 0.37/0.73 (step @p52 :rule ho_cong :premises (@p51 @p47)) % 0.37/0.73 (step @p53 :rule cong :premises (@p52 @p50) :args ((= (_ @t49 @t327) @t328))) % 0.37/0.73 (step @p54 :rule symm :premises (@p53)) % 0.37/0.73 (step @p55 :rule refl :args (@t218)) % 0.37/0.73 (step @p56 :rule eq_resolve :premises (@p55 @p54)) % 0.37/0.73 (step @p57 :rule refl :args (@t217)) % 0.37/0.73 (step @p58 :rule cong :premises (@p57 @p47) :args ((= @t217 @t327))) % 0.37/0.73 (step @p59 :rule symm :premises (@p58)) % 0.37/0.73 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.37/0.73 (step @p61 :rule refl :args (@t49)) % 0.37/0.73 (step @p62 :rule ho_cong :premises (@p61 @p60)) % 0.37/0.73 (step @p63 :rule trans :premises (@p62 @p56)) % 0.37/0.73 (step @p64 :rule cong :premises (@p63 @p45) :args (@t329)) % 0.37/0.73 (step @p65 :rule refl :args (@t332)) % 0.37/0.73 (step @p66 :rule cong :premises (@p65 @p64) :args (@t333)) % 0.37/0.73 (step @p67 :rule refl :args (@t337)) % 0.37/0.73 (step @p68 :rule cong :premises (@p67 @p66) :args (@t338)) % 0.37/0.73 (step @p69 :rule refl :args (@t343)) % 0.37/0.73 (step @p70 :rule cong :premises (@p69 @p68) :args (@t344)) % 0.37/0.73 (step @p71 :rule refl :args (@t347)) % 0.37/0.73 (step @p72 :rule cong :premises (@p71 @p70) :args (@t348)) % 0.37/0.73 (step @p73 :rule refl :args (@t350)) % 0.37/0.73 (step @p74 :rule cong :premises (@p73 @p72) :args (@t351)) % 0.37/0.73 (step @p75 :rule refl :args (@t352)) % 0.37/0.73 (step @p76 :rule cong :premises (@p75 @p74) :args (@t353)) % 0.37/0.73 (step @p77 :rule cong :premises (@p75 @p76) :args (@t354)) % 0.37/0.73 (step @p78 :rule refl :args (@t358)) % 0.37/0.73 (step @p79 :rule cong :premises (@p78 @p77) :args (@t359)) % 0.37/0.73 (step @p80 :rule refl :args (@t366)) % 0.37/0.73 (step @p81 :rule cong :premises (@p80 @p79) :args (@t367)) % 0.37/0.73 (step @p82 :rule refl :args (@t369)) % 0.37/0.73 (step @p83 :rule cong :premises (@p82 @p81) :args (@t370)) % 0.37/0.73 (step @p84 :rule cong :premises (@p82 @p83) :args (@t371)) % 0.37/0.73 (step @p85 :rule cong :premises (@p82 @p84) :args (@t372)) % 0.37/0.73 (step @p86 :rule refl :args (@t376)) % 0.37/0.73 (step @p87 :rule cong :premises (@p86 @p85) :args (@t377)) % 0.37/0.73 (step @p88 :rule refl :args (@t379)) % 0.37/0.73 (step @p89 :rule cong :premises (@p88 @p87) :args (@t380)) % 0.37/0.73 (step @p90 :rule refl :args (@t381)) % 0.37/0.73 (step @p91 :rule cong :premises (@p90 @p89) :args (@t382)) % 0.37/0.73 (step @p92 :rule refl :args (@t383)) % 0.37/0.73 (step @p93 :rule cong :premises (@p92 @p91) :args (@t384)) % 0.37/0.73 (step @p94 :rule refl :args (@t389)) % 0.37/0.73 (step @p95 :rule cong :premises (@p94 @p93) :args (@t390)) % 0.37/0.73 (step @p96 :rule refl :args (@t441)) % 0.37/0.73 (step @p97 :rule cong :premises (@p96 @p95) :args (@t442)) % 0.37/0.73 (step @p98 :rule refl :args (@t449)) % 0.37/0.73 (step @p99 :rule cong :premises (@p98 @p97) :args (@t450)) % 0.37/0.73 (step @p100 :rule refl :args (@t463)) % 0.37/0.73 (step @p101 :rule cong :premises (@p100 @p99) :args (@t464)) % 0.37/0.73 (step @p102 :rule refl :args (@t478)) % 0.37/0.73 (step @p103 :rule cong :premises (@p102 @p101) :args (@t479)) % 0.37/0.73 (step @p104 :rule refl :args (@t481)) % 0.37/0.73 (step @p105 :rule cong :premises (@p104 @p103) :args (@t482)) % 0.37/0.73 (step @p106 :rule refl :args (@t483)) % 0.37/0.73 (step @p107 :rule refl :args (@t50)) % 0.37/0.73 (step @p108 :rule cong :premises (@p107 @p106) :args ((= @t50 @t483))) % 0.37/0.73 (step @p109 :rule symm :premises (@p108)) % 0.37/0.73 (step @p110 :rule eq_resolve :premises (@p107 @p109)) % 0.37/0.73 (step @p111 :rule cong :premises (@p110 @p105) :args (@t484)) % 0.37/0.73 (step @p112 :rule refl :args (@t485)) % 0.37/0.73 (step @p113 :rule cong :premises (@p112 @p111) :args (@t486)) % 0.37/0.73 (step @p114 :rule refl :args (@t487)) % 0.37/0.73 (step @p115 :rule cong :premises (@p114 @p113) :args (@t488)) % 0.37/0.73 (step @p116 :rule refl :args (@t490)) % 0.37/0.73 (step @p117 :rule cong :premises (@p116 @p115) :args (@t491)) % 0.37/0.73 (step @p118 :rule cong :premises (@p82 @p117) :args (@t492)) % 0.37/0.73 (step @p119 :rule refl :args (@t494)) % 0.37/0.73 (step @p120 :rule cong :premises (@p119 @p118) :args (@t495)) % 0.37/0.73 (step @p121 :rule cong :premises (@p120) :args ((not @t495))) % 0.37/0.73 (step @p122 :rule bool-impl-true2 :args (@t377)) % 0.37/0.73 (step @p123 :rule cong :premises (@p88 @p122) :args (@t496)) % 0.37/0.73 (step @p124 :rule cong :premises (@p90 @p123) :args (@t497)) % 0.37/0.73 (step @p125 :rule cong :premises (@p92 @p124) :args (@t498)) % 0.37/0.73 (step @p126 :rule cong :premises (@p94 @p125) :args (@t499)) % 0.37/0.73 (step @p127 :rule cong :premises (@p96 @p126) :args (@t500)) % 0.37/0.73 (step @p128 :rule cong :premises (@p98 @p127) :args (@t501)) % 0.37/0.73 (step @p129 :rule cong :premises (@p100 @p128) :args (@t502)) % 0.37/0.73 (step @p130 :rule cong :premises (@p102 @p129) :args (@t503)) % 0.37/0.73 (step @p131 :rule cong :premises (@p104 @p130) :args (@t504)) % 0.37/0.73 (step @p132 :rule refl :args (@t50)) % 0.37/0.73 (step @p133 :rule cong :premises (@p132 @p131) :args (@t505)) % 0.37/0.73 (step @p134 :rule cong :premises (@p112 @p133) :args (@t506)) % 0.37/0.73 (step @p135 :rule cong :premises (@p114 @p134) :args (@t507)) % 0.37/0.73 (step @p136 :rule cong :premises (@p116 @p135) :args (@t508)) % 0.37/0.73 (step @p137 :rule cong :premises (@p82 @p136) :args (@t509)) % 0.37/0.73 (step @p138 :rule cong :premises (@p119 @p137) :args (@t510)) % 0.37/0.73 (step @p139 :rule cong :premises (@p138) :args ((not @t510))) % 0.37/0.73 (step @p140 :rule refl :args (@t310)) % 0.37/0.73 (step @p141 :rule refl :args ((tptp.in @t4 @t43))) % 0.37/0.73 (step @p142 :rule refl :args (@t308)) % 0.37/0.73 (step @p143 :rule refl :args (@t4)) % 0.37/0.73 (step @p144 :rule cong :premises (@p143 @p142) :args (@t309)) % 0.37/0.73 (step @p145 :rule trans :premises (@p144 @p141)) % 0.37/0.73 (step @p146 :rule refl :args (@t5)) % 0.37/0.73 (step @p147 :rule ho_cong :premises (@p146 @p142)) % 0.37/0.73 (step @p148 :rule cong :premises (@p147 @p145) :args ((= (_ @t5 @t308) @t309))) % 0.37/0.73 (step @p149 :rule symm :premises (@p148)) % 0.37/0.73 (step @p150 :rule refl :args (@t44)) % 0.37/0.73 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 0.37/0.73 (step @p152 :rule refl :args (@t43)) % 0.37/0.73 (step @p153 :rule cong :premises (@p152 @p142) :args ((= @t43 @t308))) % 0.37/0.73 (step @p154 :rule symm :premises (@p153)) % 0.37/0.73 (step @p155 :rule eq_resolve :premises (@p152 @p154)) % 0.37/0.73 (step @p156 :rule ho_cong :premises (@p146 @p155)) % 0.37/0.73 (step @p157 :rule trans :premises (@p156 @p151)) % 0.37/0.73 (step @p158 :rule refl :args (@t302)) % 0.37/0.73 (step @p159 :rule refl :args (@t39)) % 0.37/0.73 (step @p160 :rule cong :premises (@p159 @p158) :args ((= @t39 @t302))) % 0.37/0.73 (step @p161 :rule symm :premises (@p160)) % 0.37/0.73 (step @p162 :rule eq_resolve :premises (@p159 @p161)) % 0.37/0.73 (step @p163 :rule cong :premises (@p162) :args (@t511)) % 0.37/0.73 (step @p164 :rule refl :args (@t304)) % 0.37/0.73 (step @p165 :rule refl :args (@t6)) % 0.37/0.73 (step @p166 :rule cong :premises (@p165 @p164) :args ((= @t6 @t304))) 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:premises (@p1547 @p1543)) % 0.37/0.73 (step @p1549 :rule refl :args (tptp.setextAx)) % 0.37/0.73 (step @p1550 :rule cong :premises (@p1549 @p1548) :args (@t14)) % 0.37/0.73 (step @p1551 :rule eq_resolve :premises (@p1 @p1550)) % 0.37/0.73 (step @p1552 :rule cong :premises (@p1551 @p1541) :args (@t846)) % 0.37/0.73 (step @p1553 :rule cong :premises (@p1552) :args ((not @t846))) % 0.37/0.73 (step @p1554 :rule trans :premises (@p1553 @p139)) % 0.37/0.73 (step @p1555 :rule cong :premises (@p157) :args (@t847)) % 0.37/0.73 (step @p1556 :rule nary_cong :premises (@p1555 @p1495) :args (@t848)) % 0.37/0.73 (step @p1557 :rule cong :premises (@p1556) :args ((forall @t46 @t848))) % 0.37/0.73 (step @p1558 :rule bool-impl-elim :args (@t44 @t307)) % 0.37/0.73 (step @p1559 :rule cong :premises (@p1558) :args ((forall @t46 (=> @t44 @t307)))) % 0.37/0.73 (step @p1560 :rule trans :premises (@p1559 @p1557)) % 0.37/0.73 (step @p1561 :rule aci_norm :args ((= (and true @t307) @t307))) % 0.37/0.73 (step @p1562 :rule refl :args (@t307)) % 0.37/0.73 (step @p1563 :rule nary_cong :premises (@p343 @p1562) :args (@t849)) % 0.37/0.73 (step @p1564 :rule trans :premises (@p1563 @p1561)) % 0.37/0.73 (step @p1565 :rule aci_norm :args ((= @t850 @t849))) % 0.37/0.73 (step @p1566 :rule trans :premises (@p1565 @p1564)) % 0.37/0.73 (step @p1567 :rule quant-var-elim-eq :args ((= (forall @t177 (or @t540 @t851 @t172)) @t850))) % 0.37/0.73 (step @p1568 :rule refl :args (@t851)) % 0.37/0.73 (step @p1569 :rule nary_cong :premises (@p363 @p1568 @p355) :args (@t852)) % 0.37/0.73 (step @p1570 :rule aci_norm :args ((= @t853 @t852))) % 0.37/0.73 (step @p1571 :rule trans :premises (@p1570 @p1569)) % 0.37/0.73 (step @p1572 :rule cong :premises (@p1571) :args ((forall @t177 @t853))) % 0.37/0.73 (step @p1573 :rule trans :premises (@p1572 @p1567)) % 0.37/0.73 (step @p1574 :rule trans :premises (@p1573 @p1566)) % 0.37/0.73 (step @p1575 :rule bool-or-de-morgan :args (@t172 @t306 false)) % 0.37/0.73 (step @p1576 :rule nary_cong :premises (@p1575 @p355) :args ((or (not @t854) @t172))) % 0.37/0.73 (step @p1577 :rule bool-impl-elim :args (@t854 @t172)) % 0.37/0.73 (step @p1578 :rule trans :premises (@p1577 @p1576)) % 0.37/0.73 (step @p1579 :rule cong :premises (@p1578) :args ((forall @t177 (=> @t854 @t172)))) % 0.37/0.73 (step @p1580 :rule trans :premises (@p1579 @p1574)) % 0.37/0.73 (step @p1581 :rule nary_cong :premises (@p388 @p1500) :args (@t855)) % 0.37/0.73 (step @p1582 :rule quant-miniscope-or :args ((= (forall @t41 @t856) @t855))) % 0.37/0.73 (step @p1583 :rule aci_norm :args ((= @t857 @t856))) % 0.37/0.73 (step @p1584 :rule cong :premises (@p1583) :args ((forall @t41 @t857))) % 0.37/0.73 (step @p1585 :rule trans :premises (@p1584 @p1582)) % 0.37/0.73 (step @p1586 :rule trans :premises (@p1585 @p1581)) % 0.37/0.73 (step @p1587 :rule aci_norm :args ((= (or @t512 (or @t511 @t172)) @t857))) % 0.37/0.73 (step @p1588 :rule bool-impl-elim :args (@t39 @t172)) % 0.37/0.73 (step @p1589 :rule nary_cong :premises (@p174 @p1588) :args ((or @t512 @t249))) % 0.37/0.73 (step @p1590 :rule trans :premises (@p1589 @p1587)) % 0.37/0.73 (step @p1591 :rule bool-impl-elim :args (@t6 @t249)) % 0.37/0.73 (step @p1592 :rule trans :premises (@p1591 @p1590)) % 0.37/0.73 (step @p1593 :rule cong :premises (@p1592) :args (@t250)) % 0.37/0.73 (step @p1594 :rule trans :premises (@p1593 @p1586)) % 0.37/0.73 (step @p1595 :rule cong :premises (@p1594 @p388) :args (@t251)) % 0.37/0.73 (step @p1596 :rule cong :premises (@p1595) :args (@t252)) % 0.37/0.73 (step @p1597 :rule trans :premises (@p1596 @p1580)) % 0.37/0.73 (step @p1598 :rule cong :premises (@p1507 @p1597) :args (@t253)) % 0.37/0.73 (step @p1599 :rule cong :premises (@p1598) :args (@t254)) % 0.37/0.73 (step @p1600 :rule trans :premises (@p1599 @p1560)) % 0.37/0.73 (step @p1601 :rule cong :premises (@p181 @p1600) :args (@t255)) % 0.37/0.73 (step @p1602 :rule cong :premises (@p219 @p1601) :args (@t256)) % 0.37/0.73 (step @p1603 :rule cong :premises (@p224 @p1602) :args (@t257)) % 0.37/0.73 (step @p1604 :rule cong :premises (@p242 @p1603) :args (@t258)) % 0.37/0.73 (step @p1605 :rule cong :premises (@p260 @p1604) :args (@t259)) % 0.37/0.73 (step @p1606 :rule cong :premises (@p288 @p1605) :args (@t260)) % 0.37/0.73 (step @p1607 :rule cong :premises (@p330 @p1606) :args (@t261)) % 0.37/0.73 (step @p1608 :rule cong :premises (@p396 @p1607) :args (@t262)) % 0.37/0.73 (step @p1609 :rule cong :premises (@p406 @p1608) :args (@t263)) % 0.37/0.73 (step @p1610 :rule refl :args (tptp.emptyinunitempty)) % 0.37/0.73 (step @p1611 :rule cong :premises (@p1610 @p1609) :args (@t264)) % 0.37/0.73 (step @p1612 :rule cong :premises (@p427 @p1611) :args (@t265)) % 0.37/0.73 (step @p1613 :rule cong :premises (@p475 @p1612) :args (@t266)) % 0.37/0.73 (step @p1614 :rule cong :premises (@p541 @p1613) :args (@t267)) % 0.37/0.73 (step @p1615 :rule cong :premises (@p561 @p1614) :args (@t268)) % 0.37/0.73 (step @p1616 :rule cong :premises (@p596 @p1615) :args (@t269)) % 0.37/0.73 (step @p1617 :rule cong :premises (@p601 @p1616) :args (@t270)) % 0.37/0.73 (step @p1618 :rule cong :premises (@p614 @p1617) :args (@t271)) % 0.37/0.73 (step @p1619 :rule cong :premises (@p636 @p1618) :args (@t272)) % 0.37/0.73 (step @p1620 :rule cong :premises (@p694 @p1619) :args (@t273)) % 0.37/0.73 (step @p1621 :rule cong :premises (@p720 @p1620) :args (@t274)) % 0.37/0.73 (step @p1622 :rule cong :premises (@p737 @p1621) :args (@t275)) % 0.37/0.73 (step @p1623 :rule cong :premises (@p752 @p1622) :args (@t276)) % 0.37/0.73 (step @p1624 :rule cong :premises (@p829 @p1623) :args (@t277)) % 0.37/0.73 (step @p1625 :rule cong :premises (@p853 @p1624) :args (@t278)) % 0.37/0.73 (step @p1626 :rule cong :premises (@p874 @p1625) :args (@t279)) % 0.37/0.73 (step @p1627 :rule cong :premises (@p887 @p1626) :args (@t280)) % 0.37/0.73 (step @p1628 :rule cong :premises (@p904 @p1627) :args (@t281)) % 0.37/0.73 (step @p1629 :rule cong :premises (@p972 @p1628) :args (@t282)) % 0.37/0.73 (step @p1630 :rule cong :premises (@p1243 @p1629) :args (@t283)) % 0.37/0.73 (step @p1631 :rule cong :premises (@p1288 @p1630) :args (@t284)) % 0.37/0.73 (step @p1632 :rule cong :premises (@p1381 @p1631) :args (@t285)) % 0.37/0.73 (step @p1633 :rule cong :premises (@p1468 @p1632) :args (@t286)) % 0.37/0.73 (step @p1634 :rule cong :premises (@p1488 @p1633) :args (@t287)) % 0.37/0.73 (step @p1635 :rule refl :args (tptp.omega0Ax)) % 0.37/0.73 (step @p1636 :rule cong :premises (@p1635 @p1634) :args (@t288)) % 0.37/0.73 (step @p1637 :rule cong :premises (@p1511 @p1636) :args (@t289)) % 0.37/0.73 (step @p1638 :rule cong :premises (@p1524 @p1637) :args (@t290)) % 0.37/0.73 (step @p1639 :rule cong :premises (@p1534 @p1638) :args (@t291)) % 0.37/0.73 (step @p1640 :rule cong :premises (@p1538 @p1639) :args (@t292)) % 0.37/0.73 (step @p1641 :rule cong :premises (@p1549 @p1640) :args (@t293)) % 0.37/0.73 (step @p1642 :rule cong :premises (@p1641) :args (@t294)) % 0.37/0.73 (step @p1643 :rule trans :premises (@p1642 @p1554 @p121)) % 0.37/0.73 (step @p1644 :rule eq_resolve :premises (@p40 @p1643)) % 0.37/0.73 (step @p1645 :rule not_implies_elim2 :premises (@p1644)) % 0.37/0.73 (step @p1646 :rule not_implies_elim2 :premises (@p1645)) % 0.37/0.73 (step @p1647 :rule not_implies_elim2 :premises (@p1646)) % 0.37/0.73 (step @p1648 :rule not_implies_elim2 :premises (@p1647)) % 0.37/0.73 (step @p1649 :rule not_implies_elim1 :premises (@p1648)) % 0.37/0.73 (step @p1650 :rule not_implies_elim2 :premises (@p1648)) % 0.37/0.73 (step @p1651 :rule not_implies_elim2 :premises (@p1650)) % 0.37/0.73 (step @p1652 :rule not_implies_elim2 :premises (@p1651)) % 0.37/0.73 (step @p1653 :rule not_implies_elim2 :premises (@p1652)) % 0.37/0.73 (step @p1654 :rule not_implies_elim2 :premises (@p1653)) % 0.37/0.73 (step @p1655 :rule not_implies_elim2 :premises (@p1654)) % 0.37/0.73 (step @p1656 :rule not_implies_elim2 :premises (@p1655)) % 0.37/0.73 (step @p1657 :rule not_implies_elim2 :premises (@p1656)) % 0.37/0.73 (step @p1658 :rule not_implies_elim2 :premises (@p1657)) % 0.37/0.73 (step @p1659 :rule not_implies_elim2 :premises (@p1658)) % 0.37/0.73 (step @p1660 :rule not_implies_elim2 :premises (@p1659)) % 0.37/0.73 (step @p1661 :rule not_implies_elim2 :premises (@p1660)) % 0.37/0.73 (step @p1662 :rule not_implies_elim2 :premises (@p1661)) % 0.37/0.73 (step @p1663 :rule not_implies_elim2 :premises (@p1662)) % 0.37/0.73 (step @p1664 :rule not_implies_elim2 :premises (@p1663)) % 0.37/0.73 (step @p1665 :rule not_implies_elim2 :premises (@p1664)) % 0.37/0.73 (step @p1666 :rule not_implies_elim2 :premises (@p1665)) % 0.37/0.73 (step @p1667 :rule not_implies_elim2 :premises (@p1666)) % 0.37/0.73 (step @p1668 :rule not_implies_elim2 :premises (@p1667)) % 0.37/0.73 (step @p1669 :rule not_implies_elim2 :premises (@p1668)) % 0.37/0.73 (step @p1670 :rule not_implies_elim2 :premises (@p1669)) % 0.37/0.73 (step @p1671 :rule not_implies_elim2 :premises (@p1670)) % 0.37/0.73 (step @p1672 :rule not_implies_elim2 :premises (@p1671)) % 0.37/0.73 (step @p1673 :rule not_implies_elim2 :premises (@p1672)) % 0.37/0.73 (step @p1674 :rule not_implies_elim2 :premises (@p1673)) % 0.37/0.73 (step @p1675 :rule not_implies_elim2 :premises (@p1674)) % 0.37/0.73 (step @p1676 :rule not_implies_elim2 :premises (@p1675)) % 0.37/0.73 (step @p1677 :rule not_implies_elim2 :premises (@p1676)) % 0.37/0.73 (step @p1678 :rule not_implies_elim2 :premises (@p1677)) % 0.37/0.73 (step @p1679 :rule not_implies_elim2 :premises (@p1678)) % 0.37/0.73 (step @p1680 :rule not_implies_elim2 :premises (@p1679)) % 0.37/0.73 (step @p1681 :rule not_implies_elim2 :premises (@p1680)) % 0.37/0.73 (step @p1682 :rule not_implies_elim2 :premises (@p1681)) % 0.37/0.73 (step @p1683 :rule not_implies_elim2 :premises (@p1682)) % 0.37/0.73 (step @p1684 :rule skolemize :premises (@p1683)) % 0.37/0.73 (step @p1685 :rule bool-double-not-elim :args (@t860)) % 0.37/0.73 (step @p1686 :rule refl :args (@t864)) % 0.37/0.73 (step @p1687 :rule nary_cong :premises (@p1686 @p1685) :args ((or @t864 (not @t861)))) % 0.37/0.73 (step @p1688 :rule cnf_or_neg :args (@t864 1)) % 0.37/0.73 (step @p1689 :rule eq_resolve :premises (@p1688 @p1687)) % 0.37/0.73 (step @p1690 :rule reordering :premises (@p1689) :args ((or @t860 @t864))) % 0.37/0.73 (step @p1691 :rule chain_m_resolution :premises (@p1690 @p1684) :args (@t860 @t865 @t866)) % 0.37/0.73 (step @p1692 :rule bool-double-not-elim :args (@t862)) % 0.37/0.73 (step @p1693 :rule nary_cong :premises (@p1686 @p1692) :args ((or @t864 (not @t863)))) % 0.37/0.73 (step @p1694 :rule cnf_or_neg :args (@t864 0)) % 0.37/0.73 (step @p1695 :rule eq_resolve :premises (@p1694 @p1693)) % 0.37/0.73 (step @p1696 :rule reordering :premises (@p1695) :args ((or @t862 @t864))) % 0.37/0.73 (step @p1697 :rule chain_m_resolution :premises (@p1696 @p1684) :args (@t862 @t865 @t866)) % 0.37/0.73 (step @p1698 :rule cnf_equiv_pos1 :args (@t867)) % 0.37/0.73 (step @p1699 :rule reordering :premises (@p1698) :args ((or @t863 @t861 @t868))) % 0.37/0.73 (step @p1700 :rule chain_m_resolution :premises (@p1699 @p1697 @p1691) :args (@t868 (@list false false) (@list @t862 @t860))) % 0.37/0.73 (step @p1701 :rule eq-symm :args (@t861 @t862)) % 0.37/0.73 (step @p1702 :rule cong :premises (@p112 @p1701) :args ((=> @t485 @t869))) % 0.37/0.73 (assume-push @p1710 @t485) % 0.37/0.73 (step @p1704 :rule instantiate :premises (@p1649) :args ((@list @t858 @t859))) % 0.37/0.73 (step-pop @p1711 :rule scope :premises (@p1704)) % 0.37/0.73 (step @p1705 :rule process_scope :premises (@p1711) :args (@t869)) % 0.37/0.73 (step @p1707 :rule eq_resolve :premises (@p1705 @p1702)) % 0.37/0.73 (step @p1708 :rule implies_elim :premises (@p1707)) % 0.37/0.73 (step @p1709 false :rule chain_m_resolution :premises (@p1708 @p1700 @p1649) :args (false (@list true false) (@list @t867 @t485))) % 0.37/0.73 ) % 0.37/0.73 % SZS output end Proof % 0.37/0.73 % cvc5 exiting %------------------------------------------------------------------------------