%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU518^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:52:01 AM UTC 2026 % Result : Theorem 0.53s 0.72s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU518^1 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n026.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 17:40:40 EDT 2026 % 0.19/0.35 % CPUTime : % 0.33/0.52 %----Proving TH0 % 0.53/0.72 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.53/0.72 % SZS status Theorem % 0.53/0.72 % SZS output start Proof % 0.53/0.72 ( % 0.53/0.72 (declare-sort $$unsorted 0) % 0.53/0.72 (declare-const tptp.emptyset $$unsorted) % 0.53/0.72 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.53/0.72 (declare-const tptp.setoftrueEq Bool) % 0.53/0.72 (declare-const tptp.setadjoinOr Bool) % 0.53/0.72 (declare-const tptp.setadjoinE Bool) % 0.53/0.72 (declare-const tptp.emptyinunitempty Bool) % 0.53/0.72 (declare-const tptp.nonemptyI1 Bool) % 0.53/0.72 (declare-const tptp.nonemptyI Bool) % 0.53/0.72 (declare-const tptp.nonemptyE1 Bool) % 0.53/0.72 (declare-const tptp.noeltsimpempty Bool) % 0.53/0.72 (declare-const tptp.emptyI Bool) % 0.53/0.72 (declare-const tptp.omegaIndAx Bool) % 0.53/0.72 (declare-const tptp.omega0Ax Bool) % 0.53/0.72 (declare-const tptp.setadjoinIL Bool) % 0.53/0.72 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.powersetAx Bool) % 0.53/0.72 (declare-const tptp.omegaSAx Bool) % 0.53/0.72 (declare-const tptp.setext Bool) % 0.53/0.72 (declare-const tptp.setadjoinAx Bool) % 0.53/0.72 (declare-const tptp.setbeta Bool) % 0.53/0.72 (declare-const tptp.dsetconstrER Bool) % 0.53/0.72 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.setadjoinIR Bool) % 0.53/0.72 (declare-const tptp.notinemptyset Bool) % 0.53/0.72 (declare-const tptp.foundationAx Bool) % 0.53/0.72 (declare-const tptp.setextAx Bool) % 0.53/0.72 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.emptysetAx Bool) % 0.53/0.72 (declare-const tptp.dsetconstrEL Bool) % 0.53/0.72 (declare-const tptp.replAx Bool) % 0.53/0.72 (declare-const tptp.emptysetimpfalse Bool) % 0.53/0.72 (declare-const tptp.wellorderingAx Bool) % 0.53/0.72 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.53/0.72 (declare-const tptp.exuE1 Bool) % 0.53/0.72 (declare-const tptp.descrp Bool) % 0.53/0.72 (declare-const tptp.dsetconstrI Bool) % 0.53/0.72 (declare-const tptp.omega $$unsorted) % 0.53/0.72 (declare-const tptp.exuE3e Bool) % 0.53/0.72 (declare-const tptp.prop2setE Bool) % 0.53/0.72 (declare-const tptp.setunionAx Bool) % 0.53/0.72 (declare-const tptp.emptysetE Bool) % 0.53/0.72 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.53/0.72 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.53/0.72 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.53/0.72 (define @t1 () (@var "B" $$unsorted)) % 0.53/0.72 (define @t2 () (@var "A" $$unsorted)) % 0.53/0.72 (define @t3 () (= @t2 @t1)) % 0.53/0.72 (define @t4 () (@var "Xx" $$unsorted)) % 0.53/0.72 (define @t5 () (_ tptp.in @t4)) % 0.53/0.72 (define @t6 () (_ @t5 @t1)) % 0.53/0.72 (define @t7 () (_ @t5 @t2)) % 0.53/0.72 (define @t8 () (= @t7 @t6)) % 0.53/0.72 (define @t9 () (@list @t4)) % 0.53/0.72 (define @t10 () (forall @t9 @t8)) % 0.53/0.72 (define @t11 () (=> @t10 @t3)) % 0.53/0.72 (define @t12 () (@list @t2 @t1)) % 0.53/0.72 (define @t13 () (forall @t12 @t11)) % 0.53/0.72 (define @t14 () (= tptp.setextAx @t13)) % 0.53/0.72 (define @t15 () (_ @t5 tptp.emptyset)) % 0.53/0.72 (define @t16 () (not @t15)) % 0.53/0.72 (define @t17 () (forall @t9 @t16)) % 0.53/0.72 (define @t18 () (= tptp.emptysetAx @t17)) % 0.53/0.72 (define @t19 () (@var "Xy" $$unsorted)) % 0.53/0.72 (define @t20 () (_ tptp.in @t19)) % 0.53/0.72 (define @t21 () (_ @t20 @t2)) % 0.53/0.72 (define @t22 () (= @t19 @t4)) % 0.53/0.72 (define @t23 () (or @t22 @t21)) % 0.53/0.72 (define @t24 () (_ tptp.setadjoin @t4)) % 0.53/0.72 (define @t25 () (_ @t24 @t2)) % 0.53/0.72 (define @t26 () (_ @t20 @t25)) % 0.53/0.72 (define @t27 () (= @t26 @t23)) % 0.53/0.72 (define @t28 () (@list @t4 @t2 @t19)) % 0.53/0.72 (define @t29 () (forall @t28 @t27)) % 0.53/0.72 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.53/0.72 (define @t31 () (forall @t9 (=> @t6 @t7))) % 0.53/0.72 (define @t32 () (_ tptp.powerset @t2)) % 0.53/0.72 (define @t33 () (_ tptp.in @t1)) % 0.53/0.72 (define @t34 () (_ @t33 @t32)) % 0.53/0.72 (define @t35 () (= @t34 @t31)) % 0.53/0.72 (define @t36 () (forall @t12 @t35)) % 0.53/0.72 (define @t37 () (= tptp.powersetAx @t36)) % 0.53/0.72 (define @t38 () (_ @t33 @t2)) % 0.53/0.72 (define @t39 () (and @t6 @t38)) % 0.53/0.72 (define @t40 () (@list @t1)) % 0.53/0.72 (define @t41 () (exists @t40 @t39)) % 0.53/0.72 (define @t42 () (_ tptp.setunion @t2)) % 0.53/0.72 (define @t43 () (_ @t5 @t42)) % 0.53/0.72 (define @t44 () (= @t43 @t41)) % 0.53/0.72 (define @t45 () (@list @t2 @t4)) % 0.53/0.72 (define @t46 () (forall @t45 @t44)) % 0.53/0.72 (define @t47 () (= tptp.setunionAx @t46)) % 0.53/0.72 (define @t48 () (_ tptp.in tptp.emptyset)) % 0.53/0.72 (define @t49 () (_ @t48 tptp.omega)) % 0.53/0.72 (define @t50 () (_ @t24 @t4)) % 0.53/0.72 (define @t51 () (_ tptp.in @t50)) % 0.53/0.72 (define @t52 () (_ @t51 tptp.omega)) % 0.53/0.72 (define @t53 () (_ @t5 tptp.omega)) % 0.53/0.72 (define @t54 () (forall @t9 (=> @t53 @t52))) % 0.53/0.72 (define @t55 () (= tptp.omegaSAx @t54)) % 0.53/0.72 (define @t56 () (forall @t9 (=> @t53 @t7))) % 0.53/0.72 (define @t57 () (_ @t51 @t2)) % 0.53/0.72 (define @t58 () (and @t53 @t7)) % 0.53/0.72 (define @t59 () (forall @t9 (=> @t58 @t57))) % 0.53/0.72 (define @t60 () (_ @t48 @t2)) % 0.53/0.72 (define @t61 () (and @t60 @t59)) % 0.53/0.72 (define @t62 () (=> @t61 @t56)) % 0.53/0.72 (define @t63 () (@list @t2)) % 0.53/0.72 (define @t64 () (forall @t63 @t62)) % 0.53/0.72 (define @t65 () (= tptp.omegaIndAx @t64)) % 0.53/0.72 (define @t66 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.53/0.72 (define @t67 () (_ (_ @t66 @t19) @t4)) % 0.53/0.72 (define @t68 () (and @t21 @t67)) % 0.53/0.72 (define @t69 () (@list @t19)) % 0.53/0.72 (define @t70 () (exists @t69 @t68)) % 0.53/0.72 (define @t71 () (= @t6 @t70)) % 0.53/0.72 (define @t72 () (forall @t9 @t71)) % 0.53/0.72 (define @t73 () (exists @t40 @t72)) % 0.53/0.72 (define @t74 () (_ @t66 @t4)) % 0.53/0.72 (define @t75 () (_ @t74 @t19)) % 0.53/0.72 (define @t76 () (lambda @t69 @t75)) % 0.53/0.72 (define @t77 () (=> @t7 (_ tptp.exu @t76))) % 0.53/0.72 (define @t78 () (forall @t9 @t77)) % 0.53/0.72 (define @t79 () (=> @t78 @t73)) % 0.53/0.72 (define @t80 () (@list @t66 @t2)) % 0.53/0.72 (define @t81 () (forall @t80 @t79)) % 0.53/0.72 (define @t82 () (= tptp.replAx @t81)) % 0.53/0.72 (define @t83 () (and @t6 @t7)) % 0.53/0.72 (define @t84 () (exists @t9 @t83)) % 0.53/0.72 (define @t85 () (not @t84)) % 0.53/0.72 (define @t86 () (and @t38 @t85)) % 0.53/0.72 (define @t87 () (exists @t40 @t86)) % 0.53/0.72 (define @t88 () (exists @t9 @t7)) % 0.53/0.72 (define @t89 () (=> @t88 @t87)) % 0.53/0.72 (define @t90 () (forall @t63 @t89)) % 0.53/0.72 (define @t91 () (= tptp.foundationAx @t90)) % 0.53/0.72 (define @t92 () (@var "E" $$unsorted)) % 0.53/0.72 (define @t93 () (_ @t5 @t92)) % 0.53/0.72 (define @t94 () (@var "D" $$unsorted)) % 0.53/0.72 (define @t95 () (_ @t20 @t94)) % 0.53/0.72 (define @t96 () (_ @t20 @t92)) % 0.53/0.72 (define @t97 () (forall @t69 (=> @t96 @t95))) % 0.53/0.72 (define @t98 () (or @t97 @t93)) % 0.53/0.72 (define @t99 () (_ (_ tptp.in @t92) @t1)) % 0.53/0.72 (define @t100 () (=> @t99 @t98)) % 0.53/0.72 (define @t101 () (@list @t92)) % 0.53/0.72 (define @t102 () (forall @t101 @t100)) % 0.53/0.72 (define @t103 () (@var "C" $$unsorted)) % 0.53/0.72 (define @t104 () (_ @t20 @t103)) % 0.53/0.72 (define @t105 () (and @t95 @t104)) % 0.53/0.72 (define @t106 () (exists @t69 @t105)) % 0.53/0.72 (define @t107 () (not @t106)) % 0.53/0.72 (define @t108 () (_ @t5 @t103)) % 0.53/0.72 (define @t109 () (_ (_ tptp.in @t94) @t1)) % 0.53/0.72 (define @t110 () (and @t109 @t108 @t107 @t102)) % 0.53/0.72 (define @t111 () (@list @t94 @t4)) % 0.53/0.72 (define @t112 () (exists @t111 @t110)) % 0.53/0.72 (define @t113 () (exists @t9 @t108)) % 0.53/0.72 (define @t114 () (forall @t9 (=> @t108 @t7))) % 0.53/0.72 (define @t115 () (and @t114 @t113)) % 0.53/0.72 (define @t116 () (=> @t115 @t112)) % 0.53/0.72 (define @t117 () (@list @t103)) % 0.53/0.72 (define @t118 () (forall @t117 @t116)) % 0.53/0.72 (define @t119 () (_ @t5 @t94)) % 0.53/0.72 (define @t120 () (forall @t9 (=> @t119 @t108))) % 0.53/0.72 (define @t121 () (forall @t9 (=> @t108 @t119))) % 0.53/0.72 (define @t122 () (or @t121 @t120)) % 0.53/0.72 (define @t123 () (_ (_ tptp.in @t103) @t1)) % 0.53/0.72 (define @t124 () (and @t123 @t109)) % 0.53/0.72 (define @t125 () (=> @t124 @t122)) % 0.53/0.72 (define @t126 () (@list @t103 @t94)) % 0.53/0.72 (define @t127 () (forall @t126 @t125)) % 0.53/0.72 (define @t128 () (= @t4 @t19)) % 0.53/0.72 (define @t129 () (= @t108 @t104)) % 0.53/0.72 (define @t130 () (forall @t117 (=> @t123 @t129))) % 0.53/0.72 (define @t131 () (=> @t130 @t128)) % 0.53/0.72 (define @t132 () (and @t7 @t21)) % 0.53/0.72 (define @t133 () (=> @t132 @t131)) % 0.53/0.72 (define @t134 () (@list @t4 @t19)) % 0.53/0.72 (define @t135 () (forall @t134 @t133)) % 0.53/0.72 (define @t136 () (=> @t123 @t114)) % 0.53/0.72 (define @t137 () (forall @t117 @t136)) % 0.53/0.72 (define @t138 () (and @t137 @t135 @t127 @t118)) % 0.53/0.72 (define @t139 () (exists @t40 @t138)) % 0.53/0.72 (define @t140 () (forall @t63 @t139)) % 0.53/0.72 (define @t141 () (= tptp.wellorderingAx @t140)) % 0.53/0.72 (define @t142 () (@var "Xphi" (-> $$unsorted Bool))) % 0.53/0.72 (define @t143 () (_ @t142 @t4)) % 0.53/0.72 (define @t144 () (lambda @t9 @t143)) % 0.53/0.72 (define @t145 () (_ tptp.descr @t144)) % 0.53/0.72 (define @t146 () (_ @t142 @t145)) % 0.53/0.72 (define @t147 () (_ tptp.exu @t144)) % 0.53/0.72 (define @t148 () (=> @t147 @t146)) % 0.53/0.72 (define @t149 () (@list @t142)) % 0.53/0.72 (define @t150 () (forall @t149 @t148)) % 0.53/0.72 (define @t151 () (= tptp.descrp @t150)) % 0.53/0.72 (define @t152 () (_ @t142 @t19)) % 0.53/0.72 (define @t153 () (lambda @t69 @t152)) % 0.53/0.72 (define @t154 () (_ tptp.dsetconstr @t2)) % 0.53/0.72 (define @t155 () (_ @t154 @t153)) % 0.53/0.72 (define @t156 () (_ @t5 @t155)) % 0.53/0.72 (define @t157 () (=> @t143 @t156)) % 0.53/0.72 (define @t158 () (@list @t2 @t142 @t4)) % 0.53/0.72 (define @t159 () (forall @t158 (=> @t7 @t157))) % 0.53/0.72 (define @t160 () (= tptp.dsetconstrI @t159)) % 0.53/0.72 (define @t161 () (forall @t158 (=> @t156 @t7))) % 0.53/0.72 (define @t162 () (= tptp.dsetconstrEL @t161)) % 0.53/0.72 (define @t163 () (forall @t158 (=> @t156 @t143))) % 0.53/0.72 (define @t164 () (= tptp.dsetconstrER @t163)) % 0.53/0.72 (define @t165 () (forall @t69 (=> @t152 @t128))) % 0.53/0.72 (define @t166 () (and @t143 @t165)) % 0.53/0.72 (define @t167 () (exists @t9 @t166)) % 0.53/0.72 (define @t168 () (=> @t147 @t167)) % 0.53/0.72 (define @t169 () (forall @t149 @t168)) % 0.53/0.72 (define @t170 () (= tptp.exuE1 @t169)) % 0.53/0.72 (define @t171 () (@var "Xphi" Bool)) % 0.53/0.72 (define @t172 () (=> (_ @t5 (_ tptp.prop2set @t171)) @t171)) % 0.53/0.72 (define @t173 () (@list @t171 @t4)) % 0.53/0.72 (define @t174 () (forall @t173 @t172)) % 0.53/0.72 (define @t175 () (= tptp.prop2setE @t174)) % 0.53/0.72 (define @t176 () (@list @t171)) % 0.53/0.72 (define @t177 () (forall @t176 @t171)) % 0.53/0.72 (define @t178 () (=> @t15 @t177)) % 0.53/0.72 (define @t179 () (forall @t9 @t178)) % 0.53/0.72 (define @t180 () (= tptp.emptysetE @t179)) % 0.53/0.72 (define @t181 () (forall @t9 (=> @t15 false))) % 0.53/0.72 (define @t182 () (= tptp.emptysetimpfalse @t181)) % 0.53/0.72 (define @t183 () (exists @t9 @t143)) % 0.53/0.72 (define @t184 () (=> @t147 @t183)) % 0.53/0.72 (define @t185 () (forall @t149 @t184)) % 0.53/0.72 (define @t186 () (= tptp.exuE3e @t185)) % 0.53/0.72 (define @t187 () (=> @t31 @t3)) % 0.53/0.72 (define @t188 () (forall @t9 (=> @t7 @t6))) % 0.53/0.72 (define @t189 () (=> @t188 @t187)) % 0.53/0.72 (define @t190 () (forall @t12 @t189)) % 0.53/0.72 (define @t191 () (= tptp.setext @t190)) % 0.53/0.72 (define @t192 () (= @t2 tptp.emptyset)) % 0.53/0.72 (define @t193 () (not @t7)) % 0.53/0.72 (define @t194 () (forall @t9 @t193)) % 0.53/0.72 (define @t195 () (=> @t194 @t192)) % 0.53/0.72 (define @t196 () (forall @t63 @t195)) % 0.53/0.72 (define @t197 () (= tptp.emptyI @t196)) % 0.53/0.72 (define @t198 () (=> @t7 (= @t156 @t143))) % 0.53/0.72 (define @t199 () (forall @t158 @t198)) % 0.53/0.72 (define @t200 () (= tptp.setbeta @t199)) % 0.53/0.72 (define @t201 () (_ tptp.nonempty @t2)) % 0.53/0.72 (define @t202 () (=> @t201 @t88)) % 0.53/0.72 (define @t203 () (forall @t63 @t202)) % 0.53/0.72 (define @t204 () (= tptp.nonemptyE1 @t203)) % 0.53/0.72 (define @t205 () (=> @t143 (_ tptp.nonempty @t155))) % 0.53/0.72 (define @t206 () (=> @t7 @t205)) % 0.53/0.72 (define @t207 () (forall @t158 @t206)) % 0.53/0.72 (define @t208 () (= tptp.nonemptyI @t207)) % 0.53/0.72 (define @t209 () (=> @t88 @t201)) % 0.53/0.72 (define @t210 () (forall @t63 @t209)) % 0.53/0.72 (define @t211 () (= tptp.nonemptyI1 @t210)) % 0.53/0.72 (define @t212 () (_ @t24 @t19)) % 0.53/0.72 (define @t213 () (_ @t5 @t212)) % 0.53/0.72 (define @t214 () (forall @t134 @t213)) % 0.53/0.72 (define @t215 () (= tptp.setadjoinIL @t214)) % 0.53/0.72 (define @t216 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.53/0.72 (define @t217 () (_ @t48 @t216)) % 0.53/0.72 (define @t218 () (forall @t28 (=> @t21 @t26))) % 0.53/0.72 (define @t219 () (= tptp.setadjoinIR @t218)) % 0.53/0.72 (define @t220 () (=> @t21 @t171)) % 0.53/0.72 (define @t221 () (=> @t220 @t171)) % 0.53/0.72 (define @t222 () (=> @t22 @t171)) % 0.53/0.72 (define @t223 () (=> @t222 @t221)) % 0.53/0.72 (define @t224 () (forall @t176 @t223)) % 0.53/0.72 (define @t225 () (=> @t26 @t224)) % 0.53/0.72 (define @t226 () (forall @t28 @t225)) % 0.53/0.72 (define @t227 () (= tptp.setadjoinE @t226)) % 0.53/0.72 (define @t228 () (=> @t26 @t23)) % 0.53/0.72 (define @t229 () (forall @t28 @t228)) % 0.53/0.72 (define @t230 () (= tptp.setadjoinOr @t229)) % 0.53/0.72 (define @t231 () (lambda @t9 true)) % 0.53/0.72 (define @t232 () (= (_ @t154 @t231) @t2)) % 0.53/0.72 (define @t233 () (forall @t63 @t232)) % 0.53/0.72 (define @t234 () (= tptp.setoftrueEq @t233)) % 0.53/0.72 (define @t235 () (=> @t31 @t34)) % 0.53/0.72 (define @t236 () (forall @t12 @t235)) % 0.53/0.72 (define @t237 () (=> tptp.setoftrueEq @t236)) % 0.53/0.72 (define @t238 () (=> tptp.setadjoinOr @t237)) % 0.53/0.72 (define @t239 () (=> tptp.setadjoinE @t238)) % 0.53/0.72 (define @t240 () (=> tptp.setadjoinIR @t239)) % 0.53/0.72 (define @t241 () (=> tptp.emptyinunitempty @t240)) % 0.53/0.72 (define @t242 () (=> tptp.setadjoinIL @t241)) % 0.53/0.72 (define @t243 () (=> tptp.nonemptyI1 @t242)) % 0.53/0.72 (define @t244 () (=> tptp.nonemptyI @t243)) % 0.53/0.72 (define @t245 () (=> tptp.nonemptyE1 @t244)) % 0.53/0.72 (define @t246 () (=> tptp.setbeta @t245)) % 0.53/0.72 (define @t247 () (=> tptp.noeltsimpempty @t246)) % 0.53/0.72 (define @t248 () (=> tptp.emptyI @t247)) % 0.53/0.72 (define @t249 () (=> tptp.setext @t248)) % 0.53/0.72 (define @t250 () (=> tptp.exuE3e @t249)) % 0.53/0.72 (define @t251 () (=> tptp.notinemptyset @t250)) % 0.53/0.72 (define @t252 () (=> tptp.emptysetimpfalse @t251)) % 0.53/0.72 (define @t253 () (=> tptp.emptysetE @t252)) % 0.53/0.72 (define @t254 () (=> tptp.prop2setE @t253)) % 0.53/0.72 (define @t255 () (=> tptp.exuE1 @t254)) % 0.53/0.72 (define @t256 () (=> tptp.dsetconstrER @t255)) % 0.53/0.72 (define @t257 () (=> tptp.dsetconstrEL @t256)) % 0.53/0.72 (define @t258 () (=> tptp.dsetconstrI @t257)) % 0.53/0.72 (define @t259 () (=> tptp.descrp @t258)) % 0.53/0.72 (define @t260 () (=> tptp.wellorderingAx @t259)) % 0.53/0.72 (define @t261 () (=> tptp.foundationAx @t260)) % 0.53/0.72 (define @t262 () (=> tptp.replAx @t261)) % 0.53/0.72 (define @t263 () (=> tptp.omegaIndAx @t262)) % 0.53/0.72 (define @t264 () (=> tptp.omegaSAx @t263)) % 0.53/0.72 (define @t265 () (=> tptp.omega0Ax @t264)) % 0.53/0.72 (define @t266 () (=> tptp.setunionAx @t265)) % 0.53/0.72 (define @t267 () (=> tptp.powersetAx @t266)) % 0.53/0.72 (define @t268 () (=> tptp.setadjoinAx @t267)) % 0.53/0.72 (define @t269 () (=> tptp.emptysetAx @t268)) % 0.53/0.72 (define @t270 () (=> tptp.setextAx @t269)) % 0.53/0.72 (define @t271 () (not @t270)) % 0.53/0.72 (define @t272 () (lambda @t149 @t167)) % 0.53/0.72 (define @t273 () (lambda @t9 @t171)) % 0.53/0.72 (define @t274 () (_ tptp.powerset tptp.emptyset)) % 0.53/0.72 (define @t275 () (_ tptp.dsetconstr @t274)) % 0.53/0.72 (define @t276 () (_ @t275 @t273)) % 0.53/0.72 (define @t277 () (lambda @t176 @t276)) % 0.53/0.72 (define @t278 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.53/0.72 (define @t279 () (tptp.powerset @t2)) % 0.53/0.72 (define @t280 () (tptp.in @t1 @t279)) % 0.53/0.72 (define @t281 () (tptp.in @t4 @t2)) % 0.53/0.72 (define @t282 () (tptp.in @t4 @t1)) % 0.53/0.72 (define @t283 () (not @t282)) % 0.53/0.72 (define @t284 () (forall @t9 (or @t283 @t281))) % 0.53/0.72 (define @t285 () (not @t284)) % 0.53/0.72 (define @t286 () (forall @t12 (or @t285 @t280))) % 0.53/0.72 (define @t287 () (@var "BOUND_VARIABLE_15047" $$unsorted)) % 0.53/0.72 (define @t288 () (lambda (@list @t287) true)) % 0.53/0.72 (define @t289 () (tptp.dsetconstr @t2 @t288)) % 0.53/0.72 (define @t290 () (tptp.in @t19 @t2)) % 0.53/0.72 (define @t291 () (tptp.setadjoin @t4 @t2)) % 0.53/0.72 (define @t292 () (tptp.in @t19 @t291)) % 0.53/0.72 (define @t293 () (forall @t28 (or (not @t292) @t128 @t290))) % 0.53/0.72 (define @t294 () (not @t290)) % 0.53/0.72 (define @t295 () (=> (forall @t28 (or @t294 @t292)) (=> @t293 (=> @t293 (=> (forall @t63 (= @t2 @t289)) @t286))))) % 0.53/0.72 (define @t296 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.53/0.72 (define @t297 () (tptp.in tptp.emptyset @t296)) % 0.53/0.72 (define @t298 () (=> @t217 @t295)) % 0.53/0.72 (define @t299 () (tptp.setadjoin @t4 @t19)) % 0.53/0.72 (define @t300 () (tptp.in @t4 @t299)) % 0.53/0.72 (define @t301 () (forall @t134 @t300)) % 0.53/0.72 (define @t302 () (=> @t301 @t298)) % 0.53/0.72 (define @t303 () (@var "BOUND_VARIABLE_8484" $$unsorted)) % 0.53/0.72 (define @t304 () (not (tptp.in @t303 tptp.emptyset))) % 0.53/0.72 (define @t305 () (@list @t303)) % 0.53/0.72 (define @t306 () (forall @t305 @t304)) % 0.53/0.72 (define @t307 () (=> @t306 @t302)) % 0.53/0.72 (define @t308 () (tptp.dsetconstr @t2 @t142)) % 0.53/0.72 (define @t309 () (_ @t142 @t4)) % 0.53/0.72 (define @t310 () (not @t309)) % 0.53/0.72 (define @t311 () (not @t281)) % 0.53/0.72 (define @t312 () (forall @t158 (or @t311 @t310 (not (= tptp.emptyset @t308))))) % 0.53/0.72 (define @t313 () (=> @t312 @t307)) % 0.53/0.72 (define @t314 () (forall @t9 @t311)) % 0.53/0.72 (define @t315 () (not @t314)) % 0.53/0.72 (define @t316 () (forall @t63 (or @t192 @t315))) % 0.53/0.72 (define @t317 () (=> @t316 @t313)) % 0.53/0.72 (define @t318 () (tptp.in @t4 @t308)) % 0.53/0.72 (define @t319 () (forall @t158 (or @t311 (= @t309 @t318)))) % 0.53/0.72 (define @t320 () (=> @t319 @t317)) % 0.53/0.72 (define @t321 () (forall @t63 (or @t315 @t192))) % 0.53/0.72 (define @t322 () (=> @t321 @t320)) % 0.53/0.72 (define @t323 () (=> @t321 @t322)) % 0.53/0.72 (define @t324 () (forall @t9 (or @t311 @t282))) % 0.53/0.72 (define @t325 () (not @t324)) % 0.53/0.72 (define @t326 () (or @t325 @t285 @t3)) % 0.53/0.72 (define @t327 () (forall @t12 @t326)) % 0.53/0.72 (define @t328 () (=> @t327 @t323)) % 0.53/0.73 (define @t329 () (@var "BOUND_VARIABLE_8381" $$unsorted)) % 0.53/0.73 (define @t330 () (_ @t142 @t19)) % 0.53/0.73 (define @t331 () (not @t330)) % 0.53/0.73 (define @t332 () (not (_ @t142 @t329))) % 0.53/0.73 (define @t333 () (not (forall @t9 @t310))) % 0.53/0.73 (define @t334 () (@list @t142 @t329)) % 0.53/0.73 (define @t335 () (forall @t334 (or @t333 @t332 (not (forall @t69 (or @t331 (= @t19 @t329))))))) % 0.53/0.73 (define @t336 () (=> @t335 @t328)) % 0.53/0.73 (define @t337 () (tptp.in @t4 tptp.emptyset)) % 0.53/0.73 (define @t338 () (forall @t9 (not @t337))) % 0.53/0.73 (define @t339 () (=> @t338 @t336)) % 0.53/0.73 (define @t340 () (=> @t338 @t339)) % 0.53/0.73 (define @t341 () (=> @t338 @t340)) % 0.53/0.73 (define @t342 () (@var "BOUND_VARIABLE_9876" $$unsorted)) % 0.53/0.73 (define @t343 () (lambda (@list @t342) false)) % 0.53/0.73 (define @t344 () (tptp.powerset tptp.emptyset)) % 0.53/0.73 (define @t345 () (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t344 @t343))))) % 0.53/0.73 (define @t346 () (=> @t345 @t341)) % 0.53/0.73 (define @t347 () (not @t318)) % 0.53/0.73 (define @t348 () (forall @t158 (or @t347 @t309))) % 0.53/0.73 (define @t349 () (=> @t348 @t346)) % 0.53/0.73 (define @t350 () (forall @t158 (or @t347 @t281))) % 0.53/0.73 (define @t351 () (=> @t350 @t349)) % 0.53/0.73 (define @t352 () (forall @t158 (or @t311 @t310 @t318))) % 0.53/0.73 (define @t353 () (=> @t352 @t351)) % 0.53/0.73 (define @t354 () (@var "BOUND_VARIABLE_8252" $$unsorted)) % 0.53/0.73 (define @t355 () (not (_ @t142 @t354))) % 0.53/0.73 (define @t356 () (_ @t142 (tptp.descr @t142))) % 0.53/0.73 (define @t357 () (@list @t142 @t354)) % 0.53/0.73 (define @t358 () (forall @t357 (or @t356 @t355 (not (forall @t69 (or @t331 (= @t19 @t354))))))) % 0.53/0.73 (define @t359 () (=> @t358 @t353)) % 0.53/0.73 (define @t360 () (@var "BOUND_VARIABLE_8172" $$unsorted)) % 0.53/0.73 (define @t361 () (tptp.in @t360 @t94)) % 0.53/0.73 (define @t362 () (not (tptp.in @t360 @t92))) % 0.53/0.73 (define @t363 () (tptp.in @t4 @t92)) % 0.53/0.73 (define @t364 () (tptp.in @t92 @t1)) % 0.53/0.73 (define @t365 () (not @t364)) % 0.53/0.73 (define @t366 () (or @t365 @t363 @t362 @t361)) % 0.53/0.73 (define @t367 () (@list @t92 @t360)) % 0.53/0.73 (define @t368 () (forall @t367 @t366)) % 0.53/0.73 (define @t369 () (not @t368)) % 0.53/0.73 (define @t370 () (tptp.in @t19 @t103)) % 0.53/0.73 (define @t371 () (tptp.in @t19 @t94)) % 0.53/0.73 (define @t372 () (forall @t69 (or (not @t371) (not @t370)))) % 0.53/0.73 (define @t373 () (not @t372)) % 0.53/0.73 (define @t374 () (tptp.in @t4 @t103)) % 0.53/0.73 (define @t375 () (not @t374)) % 0.53/0.73 (define @t376 () (tptp.in @t94 @t1)) % 0.53/0.73 (define @t377 () (not @t376)) % 0.53/0.73 (define @t378 () (not (forall @t111 (or @t377 @t375 @t373 @t369)))) % 0.53/0.73 (define @t379 () (@var "BOUND_VARIABLE_8201" $$unsorted)) % 0.53/0.73 (define @t380 () (not (tptp.in @t379 @t103))) % 0.53/0.73 (define @t381 () (forall @t9 (or @t375 @t281))) % 0.53/0.73 (define @t382 () (not @t381)) % 0.53/0.73 (define @t383 () (or @t382 @t380 @t378)) % 0.53/0.73 (define @t384 () (forall (@list @t103 @t379) @t383)) % 0.53/0.73 (define @t385 () (not @t384)) % 0.53/0.73 (define @t386 () (@var "BOUND_VARIABLE_8124" $$unsorted)) % 0.53/0.73 (define @t387 () (tptp.in @t386 @t103)) % 0.53/0.73 (define @t388 () (not (tptp.in @t386 @t94))) % 0.53/0.73 (define @t389 () (@var "BOUND_VARIABLE_8118" $$unsorted)) % 0.53/0.73 (define @t390 () (tptp.in @t389 @t94)) % 0.53/0.73 (define @t391 () (not (tptp.in @t389 @t103))) % 0.53/0.73 (define @t392 () (tptp.in @t103 @t1)) % 0.53/0.73 (define @t393 () (not @t392)) % 0.53/0.73 (define @t394 () (or @t393 @t377 @t391 @t390 @t388 @t387)) % 0.53/0.73 (define @t395 () (@list @t103 @t94 @t389 @t386)) % 0.53/0.73 (define @t396 () (forall @t395 @t394)) % 0.53/0.73 (define @t397 () (not @t396)) % 0.53/0.73 (define @t398 () (forall @t117 (or @t393 (= @t374 @t370)))) % 0.53/0.73 (define @t399 () (not @t398)) % 0.53/0.73 (define @t400 () (forall @t134 (or @t311 @t294 @t399 @t128))) % 0.53/0.73 (define @t401 () (not @t400)) % 0.53/0.73 (define @t402 () (@var "BOUND_VARIABLE_8067" $$unsorted)) % 0.53/0.73 (define @t403 () (tptp.in @t402 @t2)) % 0.53/0.73 (define @t404 () (not (tptp.in @t402 @t103))) % 0.53/0.73 (define @t405 () (or @t393 @t404 @t403)) % 0.53/0.73 (define @t406 () (@list @t103 @t402)) % 0.53/0.73 (define @t407 () (forall @t406 @t405)) % 0.53/0.73 (define @t408 () (not @t407)) % 0.53/0.73 (define @t409 () (or @t408 @t401 @t397 @t385)) % 0.53/0.73 (define @t410 () (forall @t63 (not (forall @t40 @t409)))) % 0.53/0.73 (define @t411 () (=> @t410 @t359)) % 0.53/0.73 (define @t412 () (forall @t9 (or @t283 @t311))) % 0.53/0.73 (define @t413 () (not @t412)) % 0.53/0.73 (define @t414 () (tptp.in @t1 @t2)) % 0.53/0.73 (define @t415 () (not @t414)) % 0.53/0.73 (define @t416 () (not (forall @t40 (or @t415 @t413)))) % 0.53/0.73 (define @t417 () (@var "BOUND_VARIABLE_8042" $$unsorted)) % 0.53/0.73 (define @t418 () (not (tptp.in @t417 @t2))) % 0.53/0.73 (define @t419 () (or @t418 @t416)) % 0.53/0.73 (define @t420 () (forall (@list @t2 @t417) @t419)) % 0.53/0.73 (define @t421 () (=> @t420 @t411)) % 0.53/0.73 (define @t422 () (_ @t66 @t19 @t4)) % 0.53/0.73 (define @t423 () (not (forall @t69 (or @t294 (not @t422))))) % 0.53/0.73 (define @t424 () (forall @t9 (= @t282 @t423))) % 0.53/0.73 (define @t425 () (not (forall @t40 (not @t424)))) % 0.53/0.73 (define @t426 () (@var "BOUND_VARIABLE_7932" $$unsorted)) % 0.53/0.73 (define @t427 () (= @t19 @t426)) % 0.53/0.73 (define @t428 () (_ @t66 @t4 @t19)) % 0.53/0.73 (define @t429 () (not (forall @t69 (or (not @t428) @t427)))) % 0.53/0.73 (define @t430 () (_ @t66 @t4 @t426)) % 0.53/0.73 (define @t431 () (@list @t426)) % 0.53/0.73 (define @t432 () (not (forall @t431 (or (not @t430) @t429)))) % 0.53/0.73 (define @t433 () (forall @t9 (or @t311 @t432))) % 0.53/0.73 (define @t434 () (forall @t80 (or (not @t433) @t425))) % 0.53/0.73 (define @t435 () (=> @t434 @t421)) % 0.53/0.73 (define @t436 () (@var "BOUND_VARIABLE_7913" $$unsorted)) % 0.53/0.73 (define @t437 () (tptp.in @t436 @t2)) % 0.53/0.73 (define @t438 () (not (tptp.in @t436 tptp.omega))) % 0.53/0.73 (define @t439 () (tptp.setadjoin @t4 @t4)) % 0.53/0.73 (define @t440 () (tptp.in @t439 @t2)) % 0.53/0.73 (define @t441 () (tptp.in @t4 tptp.omega)) % 0.53/0.73 (define @t442 () (not @t441)) % 0.53/0.73 (define @t443 () (forall @t9 (or @t442 @t311 @t440))) % 0.53/0.73 (define @t444 () (not @t443)) % 0.53/0.73 (define @t445 () (tptp.in tptp.emptyset @t2)) % 0.53/0.73 (define @t446 () (not @t445)) % 0.53/0.73 (define @t447 () (or @t446 @t444 @t438 @t437)) % 0.53/0.73 (define @t448 () (@list @t2 @t436)) % 0.53/0.73 (define @t449 () (forall @t448 @t447)) % 0.53/0.73 (define @t450 () (=> @t449 @t435)) % 0.53/0.73 (define @t451 () (tptp.in @t439 tptp.omega)) % 0.53/0.73 (define @t452 () (forall @t9 (or @t442 @t451))) % 0.53/0.73 (define @t453 () (=> @t452 @t450)) % 0.53/0.73 (define @t454 () (tptp.in tptp.emptyset tptp.omega)) % 0.53/0.73 (define @t455 () (=> @t49 @t453)) % 0.53/0.73 (define @t456 () (tptp.setunion @t2)) % 0.53/0.73 (define @t457 () (tptp.in @t4 @t456)) % 0.53/0.73 (define @t458 () (not (forall @t40 (or @t283 @t415)))) % 0.53/0.73 (define @t459 () (forall @t45 (= @t458 @t457))) % 0.53/0.73 (define @t460 () (=> @t459 @t455)) % 0.53/0.73 (define @t461 () (forall @t12 (= @t284 @t280))) % 0.53/0.73 (define @t462 () (=> @t461 @t460)) % 0.53/0.73 (define @t463 () (or @t128 @t290)) % 0.53/0.73 (define @t464 () (forall @t28 (= @t292 @t463))) % 0.53/0.73 (define @t465 () (=> @t464 @t462)) % 0.53/0.73 (define @t466 () (=> @t338 @t465)) % 0.53/0.73 (define @t467 () (forall @t9 (= @t281 @t282))) % 0.53/0.73 (define @t468 () (forall @t12 (or (not @t467) @t3))) % 0.53/0.73 (define @t469 () (=> @t468 @t466)) % 0.53/0.73 (define @t470 () (=> @t348 (=> true @t346))) % 0.53/0.73 (define @t471 () (=> @t350 @t470)) % 0.53/0.73 (define @t472 () (=> @t352 @t471)) % 0.53/0.73 (define @t473 () (=> @t358 @t472)) % 0.53/0.73 (define @t474 () (=> @t410 @t473)) % 0.53/0.73 (define @t475 () (=> @t420 @t474)) % 0.53/0.73 (define @t476 () (=> @t434 @t475)) % 0.53/0.73 (define @t477 () (=> @t449 @t476)) % 0.53/0.73 (define @t478 () (=> @t452 @t477)) % 0.53/0.73 (define @t479 () (=> @t49 @t478)) % 0.53/0.73 (define @t480 () (=> @t459 @t479)) % 0.53/0.73 (define @t481 () (=> @t461 @t480)) % 0.53/0.73 (define @t482 () (=> @t464 @t481)) % 0.53/0.73 (define @t483 () (=> @t338 @t482)) % 0.53/0.73 (define @t484 () (=> @t468 @t483)) % 0.53/0.73 (define @t485 () (_ @t154 @t288)) % 0.53/0.73 (define @t486 () (= @t2 @t485)) % 0.53/0.73 (define @t487 () (@list @t4)) % 0.53/0.73 (define @t488 () (=> tptp.setoftrueEq @t286)) % 0.53/0.73 (define @t489 () (not @t26)) % 0.53/0.73 (define @t490 () (or @t489 @t128 @t21)) % 0.53/0.73 (define @t491 () (or @t128 @t21)) % 0.53/0.73 (define @t492 () (=> tptp.setadjoinOr @t488)) % 0.53/0.73 (define @t493 () (or @t489 @t128 @t290)) % 0.53/0.73 (define @t494 () (not false)) % 0.53/0.73 (define @t495 () (and @t290 @t494)) % 0.53/0.73 (define @t496 () (and @t128 @t494)) % 0.53/0.73 (define @t497 () (or @t496 @t495)) % 0.53/0.73 (define @t498 () (or @t496 @t495 false)) % 0.53/0.73 (define @t499 () (not @t171)) % 0.53/0.73 (define @t500 () (and @t290 @t499)) % 0.53/0.73 (define @t501 () (and @t128 @t499)) % 0.53/0.73 (define @t502 () (not (= @t171 false))) % 0.53/0.73 (define @t503 () (or @t171 @t501 @t500 @t171)) % 0.53/0.73 (define @t504 () (or @t501 @t500 @t171)) % 0.53/0.73 (define @t505 () (and @t21 @t499)) % 0.53/0.73 (define @t506 () (or @t501 @t505 @t171)) % 0.53/0.73 (define @t507 () (=> @t128 @t171)) % 0.53/0.73 (define @t508 () (=> tptp.setadjoinE @t492)) % 0.53/0.73 (define @t509 () (not @t21)) % 0.53/0.73 (define @t510 () (or @t509 @t26)) % 0.53/0.73 (define @t511 () (=> tptp.setadjoinIR @t508)) % 0.53/0.73 (define @t512 () (=> tptp.emptyinunitempty @t511)) % 0.53/0.73 (define @t513 () (=> tptp.setadjoinIL @t512)) % 0.53/0.73 (define @t514 () (not (= tptp.emptyset tptp.emptyset))) % 0.53/0.73 (define @t515 () (or @t304 @t514)) % 0.53/0.73 (define @t516 () (not @t192)) % 0.53/0.73 (define @t517 () (not (tptp.in @t303 @t2))) % 0.53/0.73 (define @t518 () (or @t516 @t517 @t516)) % 0.53/0.73 (define @t519 () (or @t517 @t516)) % 0.53/0.73 (define @t520 () (forall @t63 @t519)) % 0.53/0.73 (define @t521 () (forall @t305 @t520)) % 0.53/0.73 (define @t522 () (forall (@list @t303 @t2) @t519)) % 0.53/0.73 (define @t523 () (forall (@list @t2 @t303) @t519)) % 0.53/0.73 (define @t524 () (forall @t305 @t519)) % 0.53/0.73 (define @t525 () (forall @t305 @t517)) % 0.53/0.73 (define @t526 () (or @t525 @t516)) % 0.53/0.73 (define @t527 () (not @t315)) % 0.53/0.73 (define @t528 () (_ @t278 @t2)) % 0.53/0.73 (define @t529 () (not @t194)) % 0.53/0.73 (define @t530 () (=> @t88 @t528)) % 0.53/0.73 (define @t531 () (forall @t63 @t530)) % 0.53/0.73 (define @t532 () (=> tptp.nonemptyI1 @t513)) % 0.53/0.73 (define @t533 () (lambda @t69 @t330)) % 0.53/0.73 (define @t534 () (tptp.dsetconstr @t2 @t533)) % 0.53/0.73 (define @t535 () (= tptp.emptyset @t534)) % 0.53/0.73 (define @t536 () (not @t535)) % 0.53/0.73 (define @t537 () (or @t311 @t310 @t536)) % 0.53/0.73 (define @t538 () (= tptp.emptyset @t155)) % 0.53/0.73 (define @t539 () (not @t538)) % 0.53/0.73 (define @t540 () (not @t143)) % 0.53/0.73 (define @t541 () (or @t193 @t540 @t539)) % 0.53/0.73 (define @t542 () (=> @t143 @t539)) % 0.53/0.73 (define @t543 () (not (= @t155 tptp.emptyset))) % 0.53/0.73 (define @t544 () (_ @t278 @t155)) % 0.53/0.73 (define @t545 () (=> @t143 @t544)) % 0.53/0.73 (define @t546 () (=> @t7 @t545)) % 0.53/0.73 (define @t547 () (forall @t158 @t546)) % 0.53/0.73 (define @t548 () (=> tptp.nonemptyI @t532)) % 0.53/0.73 (define @t549 () (=> @t528 @t88)) % 0.53/0.73 (define @t550 () (forall @t63 @t549)) % 0.53/0.73 (define @t551 () (=> tptp.nonemptyE1 @t548)) % 0.53/0.73 (define @t552 () (tptp.in @t4 @t534)) % 0.53/0.73 (define @t553 () (= @t309 @t552)) % 0.53/0.73 (define @t554 () (or @t311 @t553)) % 0.53/0.73 (define @t555 () (= @t143 @t156)) % 0.53/0.73 (define @t556 () (or @t193 @t555)) % 0.53/0.73 (define @t557 () (=> tptp.setbeta @t551)) % 0.53/0.73 (define @t558 () (=> tptp.noeltsimpempty @t557)) % 0.53/0.73 (define @t559 () (=> tptp.emptyI @t558)) % 0.53/0.73 (define @t560 () (=> @t284 @t3)) % 0.53/0.73 (define @t561 () (not @t6)) % 0.53/0.73 (define @t562 () (or @t561 @t7)) % 0.53/0.73 (define @t563 () (or @t193 @t6)) % 0.53/0.73 (define @t564 () (=> tptp.setext @t559)) % 0.53/0.73 (define @t565 () (or @t331 (= @t329 @t19))) % 0.53/0.73 (define @t566 () (forall @t69 @t565)) % 0.53/0.73 (define @t567 () (not @t566)) % 0.53/0.73 (define @t568 () (or @t333 @t332 @t567)) % 0.53/0.73 (define @t569 () (or @t332 @t567)) % 0.53/0.73 (define @t570 () (or @t569 @t333)) % 0.53/0.73 (define @t571 () (forall @t334 @t570)) % 0.53/0.73 (define @t572 () (@list @t329)) % 0.53/0.73 (define @t573 () (forall @t572 @t570)) % 0.53/0.73 (define @t574 () (forall @t572 @t569)) % 0.53/0.73 (define @t575 () (or @t574 @t333)) % 0.53/0.73 (define @t576 () (forall @t69 (or @t331 @t128))) % 0.53/0.73 (define @t577 () (not @t576)) % 0.53/0.73 (define @t578 () (forall @t9 (or @t310 @t577))) % 0.53/0.73 (define @t579 () (not @t578)) % 0.53/0.73 (define @t580 () (not @t579)) % 0.53/0.73 (define @t581 () (forall @t9 @t540)) % 0.53/0.73 (define @t582 () (not @t581)) % 0.53/0.73 (define @t583 () (or @t540 @t577)) % 0.53/0.73 (define @t584 () (not @t152)) % 0.53/0.73 (define @t585 () (or @t584 @t128)) % 0.53/0.73 (define @t586 () (_ @t144 @t19)) % 0.53/0.73 (define @t587 () (not @t586)) % 0.53/0.73 (define @t588 () (or @t587 @t128)) % 0.53/0.73 (define @t589 () (forall @t69 @t588)) % 0.53/0.73 (define @t590 () (not @t589)) % 0.53/0.73 (define @t591 () (_ @t144 @t4)) % 0.53/0.73 (define @t592 () (not @t591)) % 0.53/0.73 (define @t593 () (or @t592 @t590)) % 0.53/0.73 (define @t594 () (forall @t9 @t593)) % 0.53/0.73 (define @t595 () (not @t594)) % 0.53/0.73 (define @t596 () (lambda @t149 @t579)) % 0.53/0.73 (define @t597 () (_ @t596 @t144)) % 0.53/0.73 (define @t598 () (=> @t597 @t183)) % 0.53/0.73 (define @t599 () (forall @t149 @t598)) % 0.53/0.73 (define @t600 () (and @t143 @t576)) % 0.53/0.73 (define @t601 () (forall @t9 (not @t600))) % 0.53/0.73 (define @t602 () (not @t601)) % 0.53/0.73 (define @t603 () (=> tptp.exuE3e @t564)) % 0.53/0.73 (define @t604 () (=> tptp.notinemptyset @t603)) % 0.53/0.73 (define @t605 () (=> tptp.emptysetimpfalse @t604)) % 0.53/0.73 (define @t606 () (or @t171 @t171)) % 0.53/0.73 (define @t607 () (=> tptp.emptysetE @t605)) % 0.53/0.73 (define @t608 () (@var "BOUND_VARIABLE_8326" $$unsorted)) % 0.53/0.73 (define @t609 () (@list @t608)) % 0.53/0.73 (define @t610 () (lambda @t609 false)) % 0.53/0.73 (define @t611 () (@list @t608)) % 0.53/0.73 (define @t612 () (tptp.dsetconstr @t344 @t610)) % 0.53/0.73 (define @t613 () (tptp.in @t4 @t612)) % 0.53/0.73 (define @t614 () (not @t613)) % 0.53/0.73 (define @t615 () (or @t614 false)) % 0.53/0.73 (define @t616 () (lambda @t609 @t171)) % 0.53/0.73 (define @t617 () (tptp.dsetconstr @t344 @t616)) % 0.53/0.73 (define @t618 () (tptp.in @t4 @t617)) % 0.53/0.73 (define @t619 () (not @t618)) % 0.53/0.73 (define @t620 () (or @t171 @t619 @t171)) % 0.53/0.73 (define @t621 () (or @t619 @t171)) % 0.53/0.73 (define @t622 () (forall @t176 @t621)) % 0.53/0.73 (define @t623 () (forall @t9 @t622)) % 0.53/0.73 (define @t624 () (forall (@list @t4 @t171) @t621)) % 0.53/0.73 (define @t625 () (_ @t275 @t616)) % 0.53/0.73 (define @t626 () (_ @t5 @t625)) % 0.53/0.73 (define @t627 () (not @t626)) % 0.53/0.73 (define @t628 () (or @t627 @t171)) % 0.53/0.73 (define @t629 () (=> (_ @t5 @t276) @t171)) % 0.53/0.73 (define @t630 () (_ @t277 @t171)) % 0.53/0.73 (define @t631 () (=> (_ @t5 @t630) @t171)) % 0.53/0.73 (define @t632 () (forall @t173 @t631)) % 0.53/0.73 (define @t633 () (=> tptp.prop2setE @t607)) % 0.53/0.73 (define @t634 () (=> @t597 @t167)) % 0.53/0.73 (define @t635 () (forall @t149 @t634)) % 0.53/0.73 (define @t636 () (=> tptp.exuE1 @t633)) % 0.53/0.73 (define @t637 () (not @t552)) % 0.53/0.73 (define @t638 () (or @t637 @t309)) % 0.53/0.73 (define @t639 () (not @t156)) % 0.53/0.73 (define @t640 () (or @t639 @t143)) % 0.53/0.73 (define @t641 () (=> tptp.dsetconstrER @t636)) % 0.53/0.73 (define @t642 () (or @t637 @t281)) % 0.53/0.73 (define @t643 () (or @t639 @t7)) % 0.53/0.73 (define @t644 () (=> tptp.dsetconstrEL @t641)) % 0.53/0.73 (define @t645 () (or @t311 @t310 @t552)) % 0.53/0.73 (define @t646 () (or @t193 @t540 @t156)) % 0.53/0.73 (define @t647 () (=> tptp.dsetconstrI @t644)) % 0.53/0.73 (define @t648 () (or @t331 (= @t354 @t19))) % 0.53/0.73 (define @t649 () (forall @t69 @t648)) % 0.53/0.73 (define @t650 () (not @t649)) % 0.53/0.73 (define @t651 () (or @t356 @t355 @t650)) % 0.53/0.73 (define @t652 () (or @t355 @t650)) % 0.53/0.73 (define @t653 () (or @t652 @t356)) % 0.53/0.73 (define @t654 () (forall @t357 @t653)) % 0.53/0.73 (define @t655 () (@list @t354)) % 0.53/0.73 (define @t656 () (forall @t655 @t653)) % 0.53/0.73 (define @t657 () (forall @t655 @t652)) % 0.53/0.73 (define @t658 () (or @t657 @t356)) % 0.53/0.73 (define @t659 () (lambda @t9 @t309)) % 0.53/0.73 (define @t660 () (tptp.descr @t659)) % 0.53/0.73 (define @t661 () (_ @t142 @t660)) % 0.53/0.73 (define @t662 () (or @t578 @t661)) % 0.53/0.73 (define @t663 () (or @t578 @t146)) % 0.53/0.73 (define @t664 () (=> @t597 @t146)) % 0.53/0.73 (define @t665 () (forall @t149 @t664)) % 0.53/0.73 (define @t666 () (=> tptp.descrp @t647)) % 0.53/0.73 (define @t667 () (and @t407 @t400 @t396 @t384)) % 0.53/0.73 (define @t668 () (forall @t40 (not @t667))) % 0.53/0.73 (define @t669 () (not @t668)) % 0.53/0.73 (define @t670 () (@list @t379)) % 0.53/0.73 (define @t671 () (forall @t670 @t383)) % 0.53/0.73 (define @t672 () (forall @t670 @t380)) % 0.53/0.73 (define @t673 () (or @t382 @t672 @t378)) % 0.53/0.73 (define @t674 () (forall @t9 @t375)) % 0.53/0.73 (define @t675 () (or @t382 @t674 @t378)) % 0.53/0.73 (define @t676 () (not @t674)) % 0.53/0.73 (define @t677 () (and @t381 @t676)) % 0.53/0.73 (define @t678 () (not @t108)) % 0.53/0.73 (define @t679 () (not @t109)) % 0.53/0.73 (define @t680 () (or @t679 @t678 @t373 @t369)) % 0.53/0.73 (define @t681 () (and @t109 @t108 @t372 @t368)) % 0.53/0.73 (define @t682 () (forall @t111 (not @t681))) % 0.53/0.73 (define @t683 () (not @t682)) % 0.53/0.73 (define @t684 () (or @t362 @t361)) % 0.53/0.73 (define @t685 () (or @t365 @t684 @t363)) % 0.53/0.73 (define @t686 () (forall @t367 @t685)) % 0.53/0.73 (define @t687 () (@list @t360)) % 0.53/0.73 (define @t688 () (forall @t687 @t685)) % 0.53/0.73 (define @t689 () (forall @t687 @t684)) % 0.53/0.73 (define @t690 () (or @t365 @t689 @t363)) % 0.53/0.73 (define @t691 () (tptp.in @t19 @t92)) % 0.53/0.73 (define @t692 () (forall @t69 (or (not @t691) @t371))) % 0.53/0.73 (define @t693 () (not @t99)) % 0.53/0.73 (define @t694 () (or @t693 @t692 @t93)) % 0.53/0.73 (define @t695 () (or @t692 @t93)) % 0.53/0.73 (define @t696 () (not @t96)) % 0.53/0.73 (define @t697 () (or @t696 @t95)) % 0.53/0.73 (define @t698 () (not @t104)) % 0.53/0.73 (define @t699 () (not @t95)) % 0.53/0.73 (define @t700 () (or @t699 @t698)) % 0.53/0.73 (define @t701 () (forall @t69 (not @t105))) % 0.53/0.73 (define @t702 () (not @t701)) % 0.53/0.73 (define @t703 () (forall @t9 @t678)) % 0.53/0.73 (define @t704 () (not @t703)) % 0.53/0.73 (define @t705 () (or @t678 @t7)) % 0.53/0.73 (define @t706 () (or @t388 @t387)) % 0.53/0.73 (define @t707 () (or @t391 @t390)) % 0.53/0.73 (define @t708 () (or @t393 @t377 @t707 @t706)) % 0.53/0.73 (define @t709 () (forall @t395 @t708)) % 0.53/0.73 (define @t710 () (forall (@list @t389 @t386) @t708)) % 0.53/0.73 (define @t711 () (forall (@list @t386) @t706)) % 0.53/0.73 (define @t712 () (forall (@list @t389) @t707)) % 0.53/0.73 (define @t713 () (or @t393 @t377 @t712 @t711)) % 0.53/0.73 (define @t714 () (tptp.in @t4 @t94)) % 0.53/0.73 (define @t715 () (forall @t9 (or (not @t714) @t374))) % 0.53/0.73 (define @t716 () (forall @t9 (or @t375 @t714))) % 0.53/0.73 (define @t717 () (not @t123)) % 0.53/0.73 (define @t718 () (or @t717 @t679 @t716 @t715)) % 0.53/0.73 (define @t719 () (or @t716 @t715)) % 0.53/0.73 (define @t720 () (not @t119)) % 0.53/0.73 (define @t721 () (or @t720 @t108)) % 0.53/0.73 (define @t722 () (or @t678 @t119)) % 0.53/0.73 (define @t723 () (or @t193 @t509 @t399 @t128)) % 0.53/0.73 (define @t724 () (=> @t398 @t128)) % 0.53/0.73 (define @t725 () (or @t717 @t129)) % 0.53/0.73 (define @t726 () (or @t404 @t403)) % 0.53/0.73 (define @t727 () (or @t393 @t726)) % 0.53/0.73 (define @t728 () (forall @t406 @t727)) % 0.53/0.73 (define @t729 () (@list @t402)) % 0.53/0.73 (define @t730 () (forall @t729 @t727)) % 0.53/0.73 (define @t731 () (forall @t729 @t726)) % 0.53/0.73 (define @t732 () (or @t393 @t731)) % 0.53/0.73 (define @t733 () (or @t717 @t381)) % 0.53/0.73 (define @t734 () (=> tptp.wellorderingAx @t666)) % 0.53/0.73 (define @t735 () (@list @t417)) % 0.53/0.73 (define @t736 () (forall @t735 @t419)) % 0.53/0.73 (define @t737 () (forall @t735 @t418)) % 0.53/0.73 (define @t738 () (or @t737 @t416)) % 0.53/0.73 (define @t739 () (not @t38)) % 0.53/0.73 (define @t740 () (or @t739 @t413)) % 0.53/0.73 (define @t741 () (and @t38 @t412)) % 0.53/0.73 (define @t742 () (forall @t40 (not @t741))) % 0.53/0.73 (define @t743 () (not @t742)) % 0.53/0.73 (define @t744 () (or @t561 @t193)) % 0.53/0.73 (define @t745 () (forall @t9 (not @t83))) % 0.53/0.73 (define @t746 () (not @t745)) % 0.53/0.73 (define @t747 () (=> tptp.foundationAx @t734)) % 0.53/0.73 (define @t748 () (= @t6 @t423)) % 0.53/0.73 (define @t749 () (not @t67)) % 0.53/0.73 (define @t750 () (or @t509 @t749)) % 0.53/0.73 (define @t751 () (forall @t69 (not @t68))) % 0.53/0.73 (define @t752 () (not @t751)) % 0.53/0.73 (define @t753 () (or @t193 @t432)) % 0.53/0.73 (define @t754 () (_ @t74 @t426)) % 0.53/0.73 (define @t755 () (not @t754)) % 0.53/0.73 (define @t756 () (or @t755 @t429)) % 0.53/0.73 (define @t757 () (not @t75)) % 0.53/0.73 (define @t758 () (or @t757 @t427)) % 0.53/0.73 (define @t759 () (_ @t76 @t19)) % 0.53/0.73 (define @t760 () (not @t759)) % 0.53/0.73 (define @t761 () (or @t760 @t427)) % 0.53/0.73 (define @t762 () (forall @t69 @t761)) % 0.53/0.73 (define @t763 () (not @t762)) % 0.53/0.73 (define @t764 () (_ @t76 @t426)) % 0.53/0.73 (define @t765 () (not @t764)) % 0.53/0.73 (define @t766 () (or @t765 @t763)) % 0.53/0.73 (define @t767 () (forall @t431 @t766)) % 0.53/0.73 (define @t768 () (not @t767)) % 0.53/0.73 (define @t769 () (not (_ @t142 @t426))) % 0.53/0.73 (define @t770 () (or @t331 (= @t426 @t19))) % 0.53/0.73 (define @t771 () (forall @t69 @t770)) % 0.53/0.73 (define @t772 () (not @t771)) % 0.53/0.73 (define @t773 () (or @t769 @t772)) % 0.53/0.73 (define @t774 () (forall @t431 @t773)) % 0.53/0.73 (define @t775 () (not @t774)) % 0.53/0.73 (define @t776 () (=> @t7 (_ @t596 @t76))) % 0.53/0.73 (define @t777 () (forall @t9 @t776)) % 0.53/0.73 (define @t778 () (=> @t777 @t73)) % 0.53/0.73 (define @t779 () (forall @t80 @t778)) % 0.53/0.73 (define @t780 () (=> tptp.replAx @t747)) % 0.53/0.73 (define @t781 () (or @t438 @t437)) % 0.53/0.73 (define @t782 () (or @t446 @t444 @t781)) % 0.53/0.73 (define @t783 () (forall @t448 @t782)) % 0.53/0.73 (define @t784 () (@list @t436)) % 0.53/0.73 (define @t785 () (forall @t784 @t782)) % 0.53/0.73 (define @t786 () (forall @t784 @t781)) % 0.53/0.73 (define @t787 () (or @t446 @t444 @t786)) % 0.53/0.73 (define @t788 () (forall @t9 (or @t442 @t281))) % 0.53/0.73 (define @t789 () (not @t60)) % 0.53/0.73 (define @t790 () (or @t789 @t444 @t788)) % 0.53/0.73 (define @t791 () (and @t60 @t443)) % 0.53/0.73 (define @t792 () (not @t53)) % 0.53/0.73 (define @t793 () (or @t792 @t7)) % 0.53/0.73 (define @t794 () (_ tptp.in @t439)) % 0.53/0.73 (define @t795 () (or @t792 @t193 @t57)) % 0.53/0.73 (define @t796 () (=> tptp.omegaIndAx @t780)) % 0.53/0.73 (define @t797 () (or @t792 @t52)) % 0.53/0.73 (define @t798 () (=> tptp.omegaSAx @t796)) % 0.53/0.73 (define @t799 () (=> tptp.omega0Ax @t798)) % 0.53/0.73 (define @t800 () (= @t43 @t458)) % 0.53/0.73 (define @t801 () (or @t561 @t739)) % 0.53/0.73 (define @t802 () (forall @t40 (not @t39))) % 0.53/0.73 (define @t803 () (not @t802)) % 0.53/0.73 (define @t804 () (=> tptp.setunionAx @t799)) % 0.53/0.73 (define @t805 () (= @t34 @t284)) % 0.53/0.73 (define @t806 () (=> tptp.powersetAx @t804)) % 0.53/0.73 (define @t807 () (= @t26 @t491)) % 0.53/0.73 (define @t808 () (=> tptp.setadjoinAx @t806)) % 0.53/0.73 (define @t809 () (=> tptp.emptysetAx @t808)) % 0.53/0.73 (define @t810 () (=> tptp.setextAx @t809)) % 0.53/0.73 (define @t811 () (or @t285 @t34)) % 0.53/0.73 (define @t812 () (@quantifiers_skolemize @t286 0)) % 0.53/0.73 (define @t813 () (@quantifiers_skolemize @t286 1)) % 0.53/0.73 (define @t814 () (tptp.in @t813 (tptp.powerset @t812))) % 0.53/0.73 (define @t815 () (forall @t9 (or (not (tptp.in @t4 @t813)) (tptp.in @t4 @t812)))) % 0.53/0.73 (define @t816 () (not @t815)) % 0.53/0.73 (define @t817 () (or @t816 @t814)) % 0.53/0.73 (define @t818 () (@list true)) % 0.53/0.73 (define @t819 () (@list @t817)) % 0.53/0.73 (define @t820 () (= @t815 @t814)) % 0.53/0.73 (define @t821 () (not @t820)) % 0.53/0.73 (assume @p1 @t14) % 0.53/0.73 (assume @p2 @t18) % 0.53/0.73 (assume @p3 @t30) % 0.53/0.73 (assume @p4 @t37) % 0.53/0.73 (assume @p5 @t47) % 0.53/0.73 (assume @p6 (= tptp.omega0Ax @t49)) % 0.53/0.73 (assume @p7 @t55) % 0.53/0.73 (assume @p8 @t65) % 0.53/0.73 (assume @p9 @t82) % 0.53/0.73 (assume @p10 @t91) % 0.53/0.73 (assume @p11 @t141) % 0.53/0.73 (assume @p12 @t151) % 0.53/0.73 (assume @p13 @t160) % 0.53/0.73 (assume @p14 @t162) % 0.53/0.73 (assume @p15 @t164) % 0.53/0.73 (assume @p16 @t170) % 0.53/0.73 (assume @p17 @t175) % 0.53/0.73 (assume @p18 @t180) % 0.53/0.73 (assume @p19 @t182) % 0.53/0.73 (assume @p20 (= tptp.notinemptyset @t17)) % 0.53/0.73 (assume @p21 @t186) % 0.53/0.73 (assume @p22 @t191) % 0.53/0.73 (assume @p23 @t197) % 0.53/0.73 (assume @p24 (= tptp.noeltsimpempty @t196)) % 0.53/0.73 (assume @p25 @t200) % 0.53/0.73 (assume @p26 @t204) % 0.53/0.73 (assume @p27 @t208) % 0.53/0.73 (assume @p28 @t211) % 0.53/0.73 (assume @p29 @t215) % 0.53/0.73 (assume @p30 (= tptp.emptyinunitempty @t217)) % 0.53/0.73 (assume @p31 @t219) % 0.53/0.73 (assume @p32 @t227) % 0.53/0.73 (assume @p33 @t230) % 0.53/0.73 (assume @p34 @t234) % 0.53/0.73 (assume @p35 @t271) % 0.53/0.73 (assume @p36 true) % 0.53/0.73 (step @p37 (= tptp.exu @t272) :rule refl :args (@t272)) % 0.53/0.73 (step @p38 (= tptp.prop2set @t277) :rule refl :args (@t277)) % 0.53/0.73 (step @p39 (= tptp.nonempty @t278) :rule refl :args (@t278)) % 0.53/0.73 (step @p40 :rule refl :args (@t295)) % 0.53/0.73 (step @p41 :rule refl :args ((tptp.in tptp.emptyset @t216))) % 0.53/0.73 (step @p42 :rule refl :args (@t296)) % 0.53/0.73 (step @p43 :rule refl :args (tptp.emptyset)) % 0.53/0.73 (step @p44 :rule cong :premises (@p43 @p42) :args (@t297)) % 0.53/0.73 (step @p45 :rule trans :premises (@p44 @p41)) % 0.53/0.73 (step @p46 :rule refl :args (@t48)) % 0.53/0.73 (step @p47 :rule ho_cong :premises (@p46 @p42)) % 0.53/0.73 (step @p48 :rule cong :premises (@p47 @p45) :args ((= (_ @t48 @t296) @t297))) % 0.53/0.73 (step @p49 :rule symm :premises (@p48)) % 0.53/0.73 (step @p50 :rule refl :args (@t217)) % 0.53/0.73 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.53/0.73 (step @p52 :rule refl :args (@t216)) % 0.53/0.73 (step @p53 :rule cong :premises (@p52 @p42) :args ((= @t216 @t296))) % 0.53/0.73 (step @p54 :rule symm :premises (@p53)) % 0.53/0.73 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.53/0.73 (step @p56 :rule refl :args (@t48)) % 0.53/0.73 (step @p57 :rule ho_cong :premises (@p56 @p55)) % 0.53/0.73 (step @p58 :rule trans :premises (@p57 @p51)) % 0.53/0.73 (step @p59 :rule cong :premises (@p58 @p40) :args (@t298)) % 0.53/0.73 (step @p60 :rule refl :args (@t301)) % 0.53/0.73 (step @p61 :rule cong :premises (@p60 @p59) :args (@t302)) % 0.53/0.73 (step @p62 :rule refl :args (@t306)) % 0.53/0.73 (step @p63 :rule cong :premises (@p62 @p61) :args (@t307)) % 0.53/0.73 (step @p64 :rule refl :args (@t312)) % 0.53/0.73 (step @p65 :rule cong :premises (@p64 @p63) :args (@t313)) % 0.53/0.73 (step @p66 :rule refl :args (@t316)) % 0.53/0.73 (step @p67 :rule cong :premises (@p66 @p65) :args (@t317)) % 0.53/0.73 (step @p68 :rule refl :args (@t319)) % 0.53/0.73 (step @p69 :rule cong :premises (@p68 @p67) :args (@t320)) % 0.53/0.73 (step @p70 :rule refl :args (@t321)) % 0.53/0.73 (step @p71 :rule cong :premises (@p70 @p69) :args (@t322)) % 0.53/0.73 (step @p72 :rule cong :premises (@p70 @p71) :args (@t323)) % 0.53/0.73 (step @p73 :rule refl :args (@t327)) % 0.53/0.73 (step @p74 :rule cong :premises (@p73 @p72) :args (@t328)) % 0.53/0.73 (step @p75 :rule refl :args (@t335)) % 0.53/0.73 (step @p76 :rule cong :premises (@p75 @p74) :args (@t336)) % 0.53/0.73 (step @p77 :rule refl :args (@t338)) % 0.53/0.73 (step @p78 :rule cong :premises (@p77 @p76) :args (@t339)) % 0.53/0.73 (step @p79 :rule cong :premises (@p77 @p78) :args (@t340)) % 0.53/0.73 (step @p80 :rule cong :premises (@p77 @p79) :args (@t341)) % 0.53/0.73 (step @p81 :rule refl :args (@t345)) % 0.53/0.73 (step @p82 :rule cong :premises (@p81 @p80) :args (@t346)) % 0.53/0.73 (step @p83 :rule refl :args (@t348)) % 0.53/0.73 (step @p84 :rule cong :premises (@p83 @p82) :args (@t349)) % 0.53/0.73 (step @p85 :rule refl :args (@t350)) % 0.53/0.73 (step @p86 :rule cong :premises (@p85 @p84) :args (@t351)) % 0.53/0.73 (step @p87 :rule refl :args (@t352)) % 0.53/0.73 (step @p88 :rule cong :premises (@p87 @p86) :args (@t353)) % 0.53/0.73 (step @p89 :rule refl :args (@t358)) % 0.53/0.73 (step @p90 :rule cong :premises (@p89 @p88) :args (@t359)) % 0.53/0.73 (step @p91 :rule refl :args (@t410)) % 0.53/0.73 (step @p92 :rule cong :premises (@p91 @p90) :args (@t411)) % 0.53/0.73 (step @p93 :rule refl :args (@t420)) % 0.53/0.73 (step @p94 :rule cong :premises (@p93 @p92) :args (@t421)) % 0.53/0.73 (step @p95 :rule refl :args (@t434)) % 0.53/0.73 (step @p96 :rule cong :premises (@p95 @p94) :args (@t435)) % 0.53/0.73 (step @p97 :rule refl :args (@t449)) % 0.53/0.73 (step @p98 :rule cong :premises (@p97 @p96) :args (@t450)) % 0.53/0.73 (step @p99 :rule refl :args (@t452)) % 0.53/0.73 (step @p100 :rule cong :premises (@p99 @p98) :args (@t453)) % 0.53/0.73 (step @p101 :rule refl :args (@t454)) % 0.53/0.73 (step @p102 :rule refl :args (@t49)) % 0.53/0.73 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t49 @t454))) % 0.53/0.73 (step @p104 :rule symm :premises (@p103)) % 0.53/0.73 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 0.53/0.73 (step @p106 :rule cong :premises (@p105 @p100) :args (@t455)) % 0.53/0.73 (step @p107 :rule refl :args (@t459)) % 0.53/0.73 (step @p108 :rule cong :premises (@p107 @p106) :args (@t460)) % 0.53/0.73 (step @p109 :rule refl :args (@t461)) % 0.53/0.73 (step @p110 :rule cong :premises (@p109 @p108) :args (@t462)) % 0.53/0.73 (step @p111 :rule refl :args (@t464)) % 0.53/0.73 (step @p112 :rule cong :premises (@p111 @p110) :args (@t465)) % 0.53/0.73 (step @p113 :rule cong :premises (@p77 @p112) :args (@t466)) % 0.53/0.73 (step @p114 :rule refl :args (@t468)) % 0.53/0.73 (step @p115 :rule cong :premises (@p114 @p113) :args (@t469)) % 0.53/0.73 (step @p116 :rule cong :premises (@p115) :args ((not @t469))) % 0.53/0.73 (step @p117 :rule bool-impl-true2 :args (@t346)) % 0.53/0.73 (step @p118 :rule cong :premises (@p83 @p117) :args (@t470)) % 0.53/0.73 (step @p119 :rule cong :premises (@p85 @p118) :args (@t471)) % 0.53/0.73 (step @p120 :rule cong :premises (@p87 @p119) :args (@t472)) % 0.53/0.73 (step @p121 :rule cong :premises (@p89 @p120) :args (@t473)) % 0.53/0.73 (step @p122 :rule cong :premises (@p91 @p121) :args (@t474)) % 0.53/0.73 (step @p123 :rule cong :premises (@p93 @p122) :args (@t475)) % 0.53/0.73 (step @p124 :rule cong :premises (@p95 @p123) :args (@t476)) % 0.53/0.73 (step @p125 :rule cong :premises (@p97 @p124) :args (@t477)) % 0.53/0.73 (step @p126 :rule cong :premises (@p99 @p125) :args (@t478)) % 0.53/0.73 (step @p127 :rule refl :args (@t49)) % 0.53/0.73 (step @p128 :rule cong :premises (@p127 @p126) :args (@t479)) % 0.53/0.73 (step @p129 :rule cong :premises (@p107 @p128) :args (@t480)) % 0.53/0.73 (step @p130 :rule cong :premises (@p109 @p129) :args (@t481)) % 0.53/0.73 (step @p131 :rule cong :premises (@p111 @p130) :args (@t482)) % 0.53/0.73 (step @p132 :rule cong :premises (@p77 @p131) :args (@t483)) % 0.53/0.73 (step @p133 :rule cong :premises (@p114 @p132) :args (@t484)) % 0.53/0.73 (step @p134 :rule cong :premises (@p133) :args ((not @t484))) % 0.53/0.73 (step @p135 :rule refl :args (@t286)) % 0.53/0.73 (step @p136 :rule refl :args (@t289)) % 0.53/0.73 (step @p137 :rule refl :args (@t288)) % 0.53/0.73 (step @p138 :rule refl :args (@t2)) % 0.53/0.73 (step @p139 :rule cong :premises (@p138 @p137) :args (@t289)) % 0.53/0.73 (step @p140 :rule trans :premises (@p139 @p136)) % 0.53/0.73 (step @p141 :rule refl :args (@t154)) % 0.53/0.73 (step @p142 :rule ho_cong :premises (@p141 @p137)) % 0.53/0.73 (step @p143 :rule cong :premises (@p142 @p140) :args ((= @t485 @t289))) % 0.53/0.73 (step @p144 :rule symm :premises (@p143)) % 0.53/0.73 (step @p145 :rule refl :args ((_ @t154 @t288))) % 0.53/0.73 (step @p146 :rule eq_resolve :premises (@p145 @p144)) % 0.53/0.73 (step @p147 :rule cong :premises (@p138 @p146) :args (@t486)) % 0.53/0.73 (step @p148 :rule cong :premises (@p147) :args ((forall @t63 @t486))) % 0.53/0.73 (step @p149 :rule eq-symm :args (@t485 @t2)) % 0.53/0.73 (step @p150 :rule refl :args (@t2)) % 0.53/0.73 (step @p151 :rule symm :premises (@p137)) % 0.53/0.73 (step @p152 :rule alpha_equiv :args (@t231 @t487 (@list @t287))) % 0.53/0.73 (step @p153 :rule trans :premises (@p152 @p151)) % 0.53/0.73 (step @p154 :rule refl :args (@t154)) % 0.53/0.73 (step @p155 :rule ho_cong :premises (@p154 @p153)) % 0.53/0.73 (step @p156 :rule cong :premises (@p155 @p150) :args (@t232)) % 0.53/0.73 (step @p157 :rule trans :premises (@p156 @p149)) % 0.53/0.73 (step @p158 :rule cong :premises (@p157) :args (@t233)) % 0.53/0.73 (step @p159 :rule trans :premises (@p158 @p148)) % 0.53/0.73 (step @p160 :rule refl :args (tptp.setoftrueEq)) % 0.53/0.73 (step @p161 :rule cong :premises (@p160 @p159) :args (@t234)) % 0.53/0.73 (step @p162 :rule eq_resolve :premises (@p34 @p161)) % 0.53/0.73 (step @p163 :rule cong :premises (@p162 @p135) :args (@t488)) % 0.53/0.73 (step @p164 :rule refl :args (@t290)) % 0.53/0.73 (step @p165 :rule refl :args (@t21)) % 0.53/0.73 (step @p166 :rule cong :premises (@p165 @p164) :args ((= @t21 @t290))) % 0.53/0.73 (step @p167 :rule symm :premises (@p166)) % 0.53/0.73 (step @p168 :rule eq_resolve :premises (@p165 @p167)) % 0.53/0.73 (step @p169 :rule refl :args (@t128)) % 0.53/0.73 (step @p170 :rule refl :args ((tptp.in @t19 @t25))) % 0.53/0.73 (step @p171 :rule refl :args (@t291)) % 0.53/0.73 (step @p172 :rule refl :args (@t19)) % 0.53/0.73 (step @p173 :rule cong :premises (@p172 @p171) :args (@t292)) % 0.53/0.73 (step @p174 :rule trans :premises (@p173 @p170)) % 0.53/0.73 (step @p175 :rule refl :args (@t20)) % 0.53/0.73 (step @p176 :rule ho_cong :premises (@p175 @p171)) % 0.53/0.73 (step @p177 :rule cong :premises (@p176 @p174) :args ((= (_ @t20 @t291) @t292))) % 0.53/0.73 (step @p178 :rule symm :premises (@p177)) % 0.53/0.73 (step @p179 :rule refl :args (@t26)) % 0.53/0.73 (step @p180 :rule eq_resolve :premises (@p179 @p178)) % 0.53/0.73 (step @p181 :rule refl :args (@t25)) % 0.53/0.73 (step @p182 :rule cong :premises (@p181 @p171) :args ((= @t25 @t291))) % 0.53/0.73 (step @p183 :rule symm :premises (@p182)) % 0.53/0.73 (step @p184 :rule eq_resolve :premises (@p181 @p183)) % 0.53/0.73 (step @p185 :rule ho_cong :premises (@p175 @p184)) % 0.53/0.73 (step @p186 :rule trans :premises (@p185 @p180)) % 0.53/0.73 (step @p187 :rule cong :premises (@p186) :args (@t489)) % 0.53/0.73 (step @p188 :rule nary_cong :premises (@p187 @p169 @p168) :args (@t490)) % 0.53/0.73 (step @p189 :rule cong :premises (@p188) :args ((forall @t28 @t490))) % 0.53/0.73 (step @p190 :rule aci_norm :args ((= (or @t489 @t491) @t490))) % 0.53/0.73 (step @p191 :rule bool-impl-elim :args (@t26 @t491)) % 0.53/0.73 (step @p192 :rule trans :premises (@p191 @p190)) % 0.53/0.73 (step @p193 :rule cong :premises (@p192) :args ((forall @t28 (=> @t26 @t491)))) % 0.53/0.73 (step @p194 :rule trans :premises (@p193 @p189)) % 0.53/0.73 (step @p195 :rule refl :args (@t21)) % 0.53/0.73 (step @p196 :rule eq-symm :args (@t19 @t4)) % 0.53/0.73 (step @p197 :rule nary_cong :premises (@p196 @p195) :args (@t23)) % 0.53/0.73 (step @p198 :rule refl :args (@t26)) % 0.53/0.73 (step @p199 :rule cong :premises (@p198 @p197) :args (@t228)) % 0.53/0.73 (step @p200 :rule cong :premises (@p199) :args (@t229)) % 0.53/0.73 (step @p201 :rule trans :premises (@p200 @p194)) % 0.53/0.73 (step @p202 :rule refl :args (tptp.setadjoinOr)) % 0.53/0.73 (step @p203 :rule cong :premises (@p202 @p201) :args (@t230)) % 0.53/0.73 (step @p204 :rule eq_resolve :premises (@p33 @p203)) % 0.53/0.73 (step @p205 :rule cong :premises (@p204 @p163) :args (@t492)) % 0.53/0.73 (step @p206 :rule refl :args (@t290)) % 0.53/0.73 (step @p207 :rule nary_cong :premises (@p187 @p169 @p206) :args (@t493)) % 0.53/0.73 (step @p208 :rule cong :premises (@p207) :args ((forall @t28 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@p1428) :args (@t805)) % 0.53/0.73 (step @p1447 :rule cong :premises (@p1446) :args ((forall @t12 @t805))) % 0.53/0.73 (step @p1448 :rule trans :premises (@p1447 @p1427)) % 0.53/0.73 (step @p1449 :rule refl :args (@t34)) % 0.53/0.73 (step @p1450 :rule cong :premises (@p1449 @p516) :args (@t35)) % 0.53/0.73 (step @p1451 :rule cong :premises (@p1450) :args (@t36)) % 0.53/0.73 (step @p1452 :rule trans :premises (@p1451 @p1448)) % 0.53/0.73 (step @p1453 :rule refl :args (tptp.powersetAx)) % 0.53/0.73 (step @p1454 :rule cong :premises (@p1453 @p1452) :args (@t37)) % 0.53/0.73 (step @p1455 :rule eq_resolve :premises (@p4 @p1454)) % 0.53/0.73 (step @p1456 :rule cong :premises (@p1455 @p1425) :args (@t806)) % 0.53/0.73 (step @p1457 :rule nary_cong :premises (@p169 @p168) :args (@t491)) % 0.53/0.73 (step @p1458 :rule cong :premises (@p186 @p1457) :args (@t807)) % 0.53/0.73 (step @p1459 :rule cong :premises (@p1458) :args ((forall @t28 @t807))) % 0.53/0.73 (step @p1460 :rule cong :premises (@p198 @p197) :args (@t27)) % 0.53/0.73 (step @p1461 :rule cong :premises (@p1460) :args (@t29)) % 0.53/0.73 (step @p1462 :rule trans :premises (@p1461 @p1459)) % 0.53/0.73 (step @p1463 :rule refl :args (tptp.setadjoinAx)) % 0.53/0.73 (step @p1464 :rule cong :premises (@p1463 @p1462) :args (@t30)) % 0.53/0.73 (step @p1465 :rule eq_resolve :premises (@p3 @p1464)) % 0.53/0.73 (step @p1466 :rule cong :premises (@p1465 @p1456) :args (@t808)) % 0.53/0.73 (step @p1467 :rule refl :args (tptp.emptysetAx)) % 0.53/0.73 (step @p1468 :rule cong :premises (@p1467 @p617) :args (@t18)) % 0.53/0.73 (step @p1469 :rule eq_resolve :premises (@p2 @p1468)) % 0.53/0.73 (step @p1470 :rule cong :premises (@p1469 @p1466) :args (@t809)) % 0.53/0.73 (step @p1471 :rule bool-impl-elim :args (@t467 @t3)) % 0.53/0.73 (step @p1472 :rule cong :premises (@p1471) :args ((forall @t12 (=> @t467 @t3)))) % 0.53/0.73 (step @p1473 :rule cong :premises (@p345 @p510) :args (@t8)) % 0.53/0.73 (step @p1474 :rule cong :premises (@p1473) :args (@t10)) % 0.53/0.73 (step @p1475 :rule cong :premises (@p1474 @p505) :args (@t11)) % 0.53/0.73 (step @p1476 :rule cong :premises (@p1475) :args (@t13)) % 0.53/0.73 (step @p1477 :rule trans :premises (@p1476 @p1472)) % 0.53/0.73 (step @p1478 :rule refl :args (tptp.setextAx)) % 0.53/0.73 (step @p1479 :rule cong :premises (@p1478 @p1477) :args (@t14)) % 0.53/0.73 (step @p1480 :rule eq_resolve :premises (@p1 @p1479)) % 0.53/0.73 (step @p1481 :rule cong :premises (@p1480 @p1470) :args (@t810)) % 0.53/0.73 (step @p1482 :rule cong :premises (@p1481) :args ((not @t810))) % 0.53/0.73 (step @p1483 :rule trans :premises (@p1482 @p134)) % 0.53/0.73 (step @p1484 :rule refl :args (@t285)) % 0.53/0.73 (step @p1485 :rule nary_cong :premises (@p1484 @p1445) :args (@t811)) % 0.53/0.73 (step @p1486 :rule cong :premises (@p1485) :args ((forall @t12 @t811))) % 0.53/0.73 (step @p1487 :rule bool-impl-elim :args (@t284 @t34)) % 0.53/0.73 (step @p1488 :rule cong :premises (@p1487) :args ((forall 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:rule cong :premises (@p440 @p1501) :args (@t245)) % 0.53/0.73 (step @p1503 :rule cong :premises (@p475 @p1502) :args (@t246)) % 0.53/0.73 (step @p1504 :rule cong :premises (@p480 @p1503) :args (@t247)) % 0.53/0.73 (step @p1505 :rule cong :premises (@p493 @p1504) :args (@t248)) % 0.53/0.73 (step @p1506 :rule cong :premises (@p526 @p1505) :args (@t249)) % 0.53/0.73 (step @p1507 :rule cong :premises (@p584 @p1506) :args (@t250)) % 0.53/0.73 (step @p1508 :rule cong :premises (@p610 @p1507) :args (@t251)) % 0.53/0.73 (step @p1509 :rule cong :premises (@p627 @p1508) :args (@t252)) % 0.53/0.73 (step @p1510 :rule cong :premises (@p642 @p1509) :args (@t253)) % 0.53/0.73 (step @p1511 :rule cong :premises (@p719 @p1510) :args (@t254)) % 0.53/0.73 (step @p1512 :rule cong :premises (@p743 @p1511) :args (@t255)) % 0.53/0.73 (step @p1513 :rule cong :premises (@p764 @p1512) :args (@t256)) % 0.53/0.73 (step @p1514 :rule cong :premises (@p777 @p1513) :args (@t257)) % 0.53/0.73 (step @p1515 :rule cong :premises (@p794 @p1514) :args (@t258)) % 0.53/0.73 (step @p1516 :rule cong :premises (@p862 @p1515) :args (@t259)) % 0.53/0.73 (step @p1517 :rule cong :premises (@p1133 @p1516) :args (@t260)) % 0.53/0.73 (step @p1518 :rule cong :premises (@p1184 @p1517) :args (@t261)) % 0.53/0.73 (step @p1519 :rule cong :premises (@p1277 @p1518) :args (@t262)) % 0.53/0.73 (step @p1520 :rule cong :premises (@p1364 @p1519) :args (@t263)) % 0.53/0.73 (step @p1521 :rule cong :premises (@p1384 @p1520) :args (@t264)) % 0.53/0.73 (step @p1522 :rule refl :args (tptp.omega0Ax)) % 0.53/0.73 (step @p1523 :rule cong :premises (@p1522 @p1521) :args (@t265)) % 0.53/0.73 (step @p1524 :rule cong :premises (@p1422 @p1523) :args (@t266)) % 0.53/0.73 (step @p1525 :rule cong :premises (@p1453 @p1524) :args (@t267)) % 0.53/0.73 (step @p1526 :rule cong :premises (@p1463 @p1525) :args (@t268)) % 0.53/0.73 (step @p1527 :rule cong :premises (@p1467 @p1526) :args (@t269)) % 0.53/0.73 (step @p1528 :rule cong :premises (@p1478 @p1527) :args (@t270)) % 0.53/0.73 (step @p1529 :rule cong :premises (@p1528) :args (@t271)) % 0.53/0.73 (step @p1530 :rule trans :premises (@p1529 @p1483 @p116)) % 0.53/0.73 (step @p1531 :rule eq_resolve :premises (@p35 @p1530)) % 0.53/0.73 (step @p1532 :rule not_implies_elim2 :premises (@p1531)) % 0.53/0.73 (step @p1533 :rule not_implies_elim2 :premises (@p1532)) % 0.53/0.73 (step @p1534 :rule not_implies_elim2 :premises (@p1533)) % 0.53/0.73 (step @p1535 :rule not_implies_elim1 :premises (@p1534)) % 0.53/0.73 (step @p1536 :rule not_implies_elim2 :premises (@p1534)) % 0.53/0.73 (step @p1537 :rule not_implies_elim2 :premises (@p1536)) % 0.53/0.73 (step @p1538 :rule not_implies_elim2 :premises (@p1537)) % 0.53/0.73 (step @p1539 :rule not_implies_elim2 :premises (@p1538)) % 0.53/0.73 (step @p1540 :rule not_implies_elim2 :premises (@p1539)) % 0.53/0.73 (step @p1541 :rule not_implies_elim2 :premises (@p1540)) % 0.53/0.73 (step @p1542 :rule not_implies_elim2 :premises (@p1541)) % 0.53/0.73 (step @p1543 :rule not_implies_elim2 :premises (@p1542)) % 0.53/0.73 (step @p1544 :rule not_implies_elim2 :premises (@p1543)) % 0.53/0.73 (step @p1545 :rule not_implies_elim2 :premises (@p1544)) % 0.53/0.73 (step @p1546 :rule not_implies_elim2 :premises (@p1545)) % 0.53/0.73 (step @p1547 :rule not_implies_elim2 :premises (@p1546)) % 0.53/0.73 (step @p1548 :rule not_implies_elim2 :premises (@p1547)) % 0.53/0.73 (step @p1549 :rule not_implies_elim2 :premises (@p1548)) % 0.53/0.73 (step @p1550 :rule not_implies_elim2 :premises (@p1549)) % 0.53/0.73 (step @p1551 :rule not_implies_elim2 :premises (@p1550)) % 0.53/0.73 (step @p1552 :rule not_implies_elim2 :premises (@p1551)) % 0.53/0.73 (step @p1553 :rule not_implies_elim2 :premises (@p1552)) % 0.53/0.73 (step @p1554 :rule not_implies_elim2 :premises (@p1553)) % 0.53/0.73 (step @p1555 :rule not_implies_elim2 :premises (@p1554)) % 0.53/0.73 (step @p1556 :rule not_implies_elim2 :premises (@p1555)) % 0.53/0.73 (step @p1557 :rule not_implies_elim2 :premises (@p1556)) % 0.53/0.73 (step @p1558 :rule not_implies_elim2 :premises (@p1557)) % 0.53/0.73 (step @p1559 :rule not_implies_elim2 :premises (@p1558)) % 0.53/0.73 (step @p1560 :rule not_implies_elim2 :premises (@p1559)) % 0.53/0.73 (step @p1561 :rule not_implies_elim2 :premises (@p1560)) % 0.53/0.73 (step @p1562 :rule not_implies_elim2 :premises (@p1561)) % 0.53/0.73 (step @p1563 :rule not_implies_elim2 :premises (@p1562)) % 0.53/0.73 (step @p1564 :rule not_implies_elim2 :premises (@p1563)) % 0.53/0.73 (step @p1565 :rule not_implies_elim2 :premises (@p1564)) % 0.53/0.73 (step @p1566 :rule skolemize :premises (@p1565)) % 0.53/0.73 (step @p1567 :rule cnf_or_neg :args (@t817 1)) % 0.53/0.73 (step @p1568 :rule chain_m_resolution :premises (@p1567 @p1566) :args ((not @t814) @t818 @t819)) % 0.53/0.73 (step @p1569 :rule bool-double-not-elim :args (@t815)) % 0.53/0.73 (step @p1570 :rule refl :args (@t817)) % 0.53/0.73 (step @p1571 :rule nary_cong :premises (@p1570 @p1569) :args ((or @t817 (not @t816)))) % 0.53/0.73 (step @p1572 :rule cnf_or_neg :args (@t817 0)) % 0.53/0.73 (step @p1573 :rule eq_resolve :premises (@p1572 @p1571)) % 0.53/0.73 (step @p1574 :rule reordering :premises (@p1573) :args ((or @t815 @t817))) % 0.53/0.73 (step @p1575 :rule chain_m_resolution :premises (@p1574 @p1566) :args (@t815 @t818 @t819)) % 0.53/0.73 (step @p1576 :rule cnf_equiv_pos1 :args (@t820)) % 0.53/0.73 (step @p1577 :rule reordering :premises (@p1576) :args ((or @t816 @t814 @t821))) % 0.53/0.73 (step @p1578 :rule chain_m_resolution :premises (@p1577 @p1575 @p1568) :args (@t821 (@list false true) (@list @t815 @t814))) % 0.53/0.73 (assume-push @p1585 @t461) % 0.53/0.73 (step @p1580 :rule instantiate :premises (@p1535) :args ((@list @t812 @t813))) % 0.53/0.73 (step-pop @p1586 :rule scope :premises (@p1580)) % 0.53/0.73 (step @p1581 :rule process_scope :premises (@p1586) :args (@t820)) % 0.53/0.73 (step @p1583 :rule implies_elim :premises (@p1581)) % 0.53/0.73 (step @p1584 false :rule chain_m_resolution :premises (@p1583 @p1578 @p1535) :args (false (@list true false) (@list @t820 @t461))) % 0.53/0.73 ) % 0.53/0.73 % SZS output end Proof % 0.53/0.73 % cvc5 exiting %------------------------------------------------------------------------------