%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU512^1 : 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 : n003.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 08:52:00 AM UTC 2026 % Result : Theorem 0.45s 0.69s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU512^1 : 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 % 0.14/0.34 % Computer : n003.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Jun 2 17:39:44 EDT 2026 % 0.14/0.34 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.45/0.69 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.69 % SZS status Theorem % 0.45/0.69 % SZS output start Proof % 0.45/0.69 ( % 0.45/0.69 (declare-sort $$unsorted 0) % 0.45/0.69 (declare-const tptp.emptyset $$unsorted) % 0.45/0.69 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.45/0.69 (declare-const tptp.nonemptyI1 Bool) % 0.45/0.69 (declare-const tptp.nonemptyI Bool) % 0.45/0.69 (declare-const tptp.nonemptyE1 Bool) % 0.45/0.69 (declare-const tptp.noeltsimpempty Bool) % 0.45/0.69 (declare-const tptp.emptyI Bool) % 0.45/0.69 (declare-const tptp.omegaIndAx Bool) % 0.45/0.69 (declare-const tptp.omega0Ax Bool) % 0.45/0.69 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.powersetAx Bool) % 0.45/0.69 (declare-const tptp.omegaSAx Bool) % 0.45/0.69 (declare-const tptp.setext Bool) % 0.45/0.69 (declare-const tptp.setadjoinAx Bool) % 0.45/0.69 (declare-const tptp.setbeta Bool) % 0.45/0.69 (declare-const tptp.dsetconstrER Bool) % 0.45/0.69 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.notinemptyset Bool) % 0.45/0.69 (declare-const tptp.foundationAx Bool) % 0.45/0.69 (declare-const tptp.setextAx Bool) % 0.45/0.69 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.emptysetAx Bool) % 0.45/0.69 (declare-const tptp.dsetconstrEL Bool) % 0.45/0.69 (declare-const tptp.replAx Bool) % 0.45/0.69 (declare-const tptp.emptysetimpfalse Bool) % 0.45/0.69 (declare-const tptp.wellorderingAx Bool) % 0.45/0.69 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.45/0.69 (declare-const tptp.exuE1 Bool) % 0.45/0.69 (declare-const tptp.descrp Bool) % 0.45/0.69 (declare-const tptp.dsetconstrI Bool) % 0.45/0.69 (declare-const tptp.omega $$unsorted) % 0.45/0.69 (declare-const tptp.exuE3e Bool) % 0.45/0.69 (declare-const tptp.prop2setE Bool) % 0.45/0.69 (declare-const tptp.setunionAx Bool) % 0.45/0.69 (declare-const tptp.emptysetE Bool) % 0.45/0.69 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.45/0.69 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.45/0.69 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.45/0.69 (define @t1 () (@var "B" $$unsorted)) % 0.45/0.69 (define @t2 () (@var "A" $$unsorted)) % 0.45/0.69 (define @t3 () (= @t2 @t1)) % 0.45/0.69 (define @t4 () (@var "Xx" $$unsorted)) % 0.45/0.69 (define @t5 () (_ tptp.in @t4)) % 0.45/0.69 (define @t6 () (_ @t5 @t1)) % 0.45/0.69 (define @t7 () (_ @t5 @t2)) % 0.45/0.69 (define @t8 () (= @t7 @t6)) % 0.45/0.69 (define @t9 () (@list @t4)) % 0.45/0.69 (define @t10 () (forall @t9 @t8)) % 0.45/0.69 (define @t11 () (=> @t10 @t3)) % 0.45/0.69 (define @t12 () (@list @t2 @t1)) % 0.45/0.69 (define @t13 () (forall @t12 @t11)) % 0.45/0.69 (define @t14 () (= tptp.setextAx @t13)) % 0.45/0.69 (define @t15 () (_ @t5 tptp.emptyset)) % 0.45/0.69 (define @t16 () (not @t15)) % 0.45/0.69 (define @t17 () (forall @t9 @t16)) % 0.45/0.69 (define @t18 () (= tptp.emptysetAx @t17)) % 0.45/0.69 (define @t19 () (@var "Xy" $$unsorted)) % 0.45/0.69 (define @t20 () (_ tptp.in @t19)) % 0.45/0.69 (define @t21 () (_ @t20 @t2)) % 0.45/0.69 (define @t22 () (or (= @t19 @t4) @t21)) % 0.45/0.69 (define @t23 () (_ tptp.setadjoin @t4)) % 0.45/0.70 (define @t24 () (_ @t23 @t2)) % 0.45/0.70 (define @t25 () (_ @t20 @t24)) % 0.45/0.70 (define @t26 () (= @t25 @t22)) % 0.45/0.70 (define @t27 () (@list @t4 @t2 @t19)) % 0.45/0.70 (define @t28 () (forall @t27 @t26)) % 0.45/0.70 (define @t29 () (= tptp.setadjoinAx @t28)) % 0.45/0.70 (define @t30 () (forall @t9 (=> @t6 @t7))) % 0.45/0.70 (define @t31 () (_ tptp.powerset @t2)) % 0.45/0.70 (define @t32 () (_ tptp.in @t1)) % 0.45/0.70 (define @t33 () (_ @t32 @t31)) % 0.45/0.70 (define @t34 () (= @t33 @t30)) % 0.45/0.70 (define @t35 () (forall @t12 @t34)) % 0.45/0.70 (define @t36 () (= tptp.powersetAx @t35)) % 0.45/0.70 (define @t37 () (_ @t32 @t2)) % 0.45/0.70 (define @t38 () (and @t6 @t37)) % 0.45/0.70 (define @t39 () (@list @t1)) % 0.45/0.70 (define @t40 () (exists @t39 @t38)) % 0.45/0.70 (define @t41 () (_ tptp.setunion @t2)) % 0.45/0.70 (define @t42 () (_ @t5 @t41)) % 0.45/0.70 (define @t43 () (= @t42 @t40)) % 0.45/0.70 (define @t44 () (@list @t2 @t4)) % 0.45/0.70 (define @t45 () (forall @t44 @t43)) % 0.45/0.70 (define @t46 () (= tptp.setunionAx @t45)) % 0.45/0.70 (define @t47 () (_ tptp.in tptp.emptyset)) % 0.45/0.70 (define @t48 () (_ @t47 tptp.omega)) % 0.45/0.70 (define @t49 () (_ @t23 @t4)) % 0.45/0.70 (define @t50 () (_ tptp.in @t49)) % 0.45/0.70 (define @t51 () (_ @t50 tptp.omega)) % 0.45/0.70 (define @t52 () (_ @t5 tptp.omega)) % 0.45/0.70 (define @t53 () (forall @t9 (=> @t52 @t51))) % 0.45/0.70 (define @t54 () (= tptp.omegaSAx @t53)) % 0.45/0.70 (define @t55 () (forall @t9 (=> @t52 @t7))) % 0.45/0.70 (define @t56 () (_ @t50 @t2)) % 0.45/0.70 (define @t57 () (and @t52 @t7)) % 0.45/0.70 (define @t58 () (forall @t9 (=> @t57 @t56))) % 0.45/0.70 (define @t59 () (_ @t47 @t2)) % 0.45/0.70 (define @t60 () (and @t59 @t58)) % 0.45/0.70 (define @t61 () (=> @t60 @t55)) % 0.45/0.70 (define @t62 () (@list @t2)) % 0.45/0.70 (define @t63 () (forall @t62 @t61)) % 0.45/0.70 (define @t64 () (= tptp.omegaIndAx @t63)) % 0.45/0.70 (define @t65 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.45/0.70 (define @t66 () (_ (_ @t65 @t19) @t4)) % 0.45/0.70 (define @t67 () (and @t21 @t66)) % 0.45/0.70 (define @t68 () (@list @t19)) % 0.45/0.70 (define @t69 () (exists @t68 @t67)) % 0.45/0.70 (define @t70 () (= @t6 @t69)) % 0.45/0.70 (define @t71 () (forall @t9 @t70)) % 0.45/0.70 (define @t72 () (exists @t39 @t71)) % 0.45/0.70 (define @t73 () (_ @t65 @t4)) % 0.45/0.70 (define @t74 () (_ @t73 @t19)) % 0.45/0.70 (define @t75 () (lambda @t68 @t74)) % 0.45/0.70 (define @t76 () (=> @t7 (_ tptp.exu @t75))) % 0.45/0.70 (define @t77 () (forall @t9 @t76)) % 0.45/0.70 (define @t78 () (=> @t77 @t72)) % 0.45/0.70 (define @t79 () (@list @t65 @t2)) % 0.45/0.70 (define @t80 () (forall @t79 @t78)) % 0.45/0.70 (define @t81 () (= tptp.replAx @t80)) % 0.45/0.70 (define @t82 () (and @t6 @t7)) % 0.45/0.70 (define @t83 () (exists @t9 @t82)) % 0.45/0.70 (define @t84 () (not @t83)) % 0.45/0.70 (define @t85 () (and @t37 @t84)) % 0.45/0.70 (define @t86 () (exists @t39 @t85)) % 0.45/0.70 (define @t87 () (exists @t9 @t7)) % 0.45/0.70 (define @t88 () (=> @t87 @t86)) % 0.45/0.70 (define @t89 () (forall @t62 @t88)) % 0.45/0.70 (define @t90 () (= tptp.foundationAx @t89)) % 0.45/0.70 (define @t91 () (@var "E" $$unsorted)) % 0.45/0.70 (define @t92 () (_ @t5 @t91)) % 0.45/0.70 (define @t93 () (@var "D" $$unsorted)) % 0.45/0.70 (define @t94 () (_ @t20 @t93)) % 0.45/0.70 (define @t95 () (_ @t20 @t91)) % 0.45/0.70 (define @t96 () (forall @t68 (=> @t95 @t94))) % 0.45/0.70 (define @t97 () (or @t96 @t92)) % 0.45/0.70 (define @t98 () (_ (_ tptp.in @t91) @t1)) % 0.45/0.70 (define @t99 () (=> @t98 @t97)) % 0.45/0.70 (define @t100 () (@list @t91)) % 0.45/0.70 (define @t101 () (forall @t100 @t99)) % 0.45/0.70 (define @t102 () (@var "C" $$unsorted)) % 0.45/0.70 (define @t103 () (_ @t20 @t102)) % 0.45/0.70 (define @t104 () (and @t94 @t103)) % 0.45/0.70 (define @t105 () (exists @t68 @t104)) % 0.45/0.70 (define @t106 () (not @t105)) % 0.45/0.70 (define @t107 () (_ @t5 @t102)) % 0.45/0.70 (define @t108 () (_ (_ tptp.in @t93) @t1)) % 0.45/0.70 (define @t109 () (and @t108 @t107 @t106 @t101)) % 0.45/0.70 (define @t110 () (@list @t93 @t4)) % 0.45/0.70 (define @t111 () (exists @t110 @t109)) % 0.45/0.70 (define @t112 () (exists @t9 @t107)) % 0.45/0.70 (define @t113 () (forall @t9 (=> @t107 @t7))) % 0.45/0.70 (define @t114 () (and @t113 @t112)) % 0.45/0.70 (define @t115 () (=> @t114 @t111)) % 0.45/0.70 (define @t116 () (@list @t102)) % 0.45/0.70 (define @t117 () (forall @t116 @t115)) % 0.45/0.70 (define @t118 () (_ @t5 @t93)) % 0.45/0.70 (define @t119 () (forall @t9 (=> @t118 @t107))) % 0.45/0.70 (define @t120 () (forall @t9 (=> @t107 @t118))) % 0.45/0.70 (define @t121 () (or @t120 @t119)) % 0.45/0.70 (define @t122 () (_ (_ tptp.in @t102) @t1)) % 0.45/0.70 (define @t123 () (and @t122 @t108)) % 0.45/0.70 (define @t124 () (=> @t123 @t121)) % 0.45/0.70 (define @t125 () (@list @t102 @t93)) % 0.45/0.70 (define @t126 () (forall @t125 @t124)) % 0.45/0.70 (define @t127 () (= @t4 @t19)) % 0.45/0.70 (define @t128 () (= @t107 @t103)) % 0.45/0.70 (define @t129 () (forall @t116 (=> @t122 @t128))) % 0.45/0.70 (define @t130 () (=> @t129 @t127)) % 0.45/0.70 (define @t131 () (and @t7 @t21)) % 0.45/0.70 (define @t132 () (=> @t131 @t130)) % 0.45/0.70 (define @t133 () (@list @t4 @t19)) % 0.45/0.70 (define @t134 () (forall @t133 @t132)) % 0.45/0.70 (define @t135 () (=> @t122 @t113)) % 0.45/0.70 (define @t136 () (forall @t116 @t135)) % 0.45/0.70 (define @t137 () (and @t136 @t134 @t126 @t117)) % 0.45/0.70 (define @t138 () (exists @t39 @t137)) % 0.45/0.70 (define @t139 () (forall @t62 @t138)) % 0.45/0.70 (define @t140 () (= tptp.wellorderingAx @t139)) % 0.45/0.70 (define @t141 () (@var "Xphi" (-> $$unsorted Bool))) % 0.45/0.70 (define @t142 () (_ @t141 @t4)) % 0.45/0.70 (define @t143 () (lambda @t9 @t142)) % 0.45/0.70 (define @t144 () (_ tptp.descr @t143)) % 0.45/0.70 (define @t145 () (_ @t141 @t144)) % 0.45/0.70 (define @t146 () (_ tptp.exu @t143)) % 0.45/0.70 (define @t147 () (=> @t146 @t145)) % 0.45/0.70 (define @t148 () (@list @t141)) % 0.45/0.70 (define @t149 () (forall @t148 @t147)) % 0.45/0.70 (define @t150 () (= tptp.descrp @t149)) % 0.45/0.70 (define @t151 () (_ @t141 @t19)) % 0.45/0.70 (define @t152 () (lambda @t68 @t151)) % 0.45/0.70 (define @t153 () (_ tptp.dsetconstr @t2)) % 0.45/0.70 (define @t154 () (_ @t153 @t152)) % 0.45/0.70 (define @t155 () (_ @t5 @t154)) % 0.45/0.70 (define @t156 () (=> @t142 @t155)) % 0.45/0.70 (define @t157 () (@list @t2 @t141 @t4)) % 0.45/0.70 (define @t158 () (forall @t157 (=> @t7 @t156))) % 0.45/0.70 (define @t159 () (= tptp.dsetconstrI @t158)) % 0.45/0.70 (define @t160 () (forall @t157 (=> @t155 @t7))) % 0.45/0.70 (define @t161 () (= tptp.dsetconstrEL @t160)) % 0.45/0.70 (define @t162 () (forall @t157 (=> @t155 @t142))) % 0.45/0.70 (define @t163 () (= tptp.dsetconstrER @t162)) % 0.45/0.70 (define @t164 () (forall @t68 (=> @t151 @t127))) % 0.45/0.70 (define @t165 () (and @t142 @t164)) % 0.45/0.70 (define @t166 () (exists @t9 @t165)) % 0.45/0.70 (define @t167 () (=> @t146 @t166)) % 0.45/0.70 (define @t168 () (forall @t148 @t167)) % 0.45/0.70 (define @t169 () (= tptp.exuE1 @t168)) % 0.45/0.70 (define @t170 () (@var "Xphi" Bool)) % 0.45/0.70 (define @t171 () (=> (_ @t5 (_ tptp.prop2set @t170)) @t170)) % 0.45/0.70 (define @t172 () (@list @t170 @t4)) % 0.45/0.70 (define @t173 () (forall @t172 @t171)) % 0.45/0.70 (define @t174 () (= tptp.prop2setE @t173)) % 0.45/0.70 (define @t175 () (@list @t170)) % 0.45/0.70 (define @t176 () (forall @t175 @t170)) % 0.45/0.70 (define @t177 () (=> @t15 @t176)) % 0.45/0.70 (define @t178 () (forall @t9 @t177)) % 0.45/0.70 (define @t179 () (= tptp.emptysetE @t178)) % 0.45/0.70 (define @t180 () (forall @t9 (=> @t15 false))) % 0.45/0.70 (define @t181 () (= tptp.emptysetimpfalse @t180)) % 0.45/0.70 (define @t182 () (exists @t9 @t142)) % 0.45/0.70 (define @t183 () (=> @t146 @t182)) % 0.45/0.70 (define @t184 () (forall @t148 @t183)) % 0.45/0.70 (define @t185 () (= tptp.exuE3e @t184)) % 0.45/0.70 (define @t186 () (=> @t30 @t3)) % 0.45/0.70 (define @t187 () (forall @t9 (=> @t7 @t6))) % 0.45/0.70 (define @t188 () (=> @t187 @t186)) % 0.45/0.70 (define @t189 () (forall @t12 @t188)) % 0.45/0.70 (define @t190 () (= tptp.setext @t189)) % 0.45/0.70 (define @t191 () (= @t2 tptp.emptyset)) % 0.45/0.70 (define @t192 () (not @t7)) % 0.45/0.70 (define @t193 () (forall @t9 @t192)) % 0.45/0.70 (define @t194 () (=> @t193 @t191)) % 0.45/0.70 (define @t195 () (forall @t62 @t194)) % 0.45/0.70 (define @t196 () (= tptp.emptyI @t195)) % 0.45/0.70 (define @t197 () (=> @t7 (= @t155 @t142))) % 0.45/0.70 (define @t198 () (forall @t157 @t197)) % 0.45/0.70 (define @t199 () (= tptp.setbeta @t198)) % 0.45/0.70 (define @t200 () (_ tptp.nonempty @t2)) % 0.45/0.70 (define @t201 () (=> @t200 @t87)) % 0.45/0.70 (define @t202 () (forall @t62 @t201)) % 0.45/0.70 (define @t203 () (= tptp.nonemptyE1 @t202)) % 0.45/0.70 (define @t204 () (=> @t142 (_ tptp.nonempty @t154))) % 0.45/0.70 (define @t205 () (=> @t7 @t204)) % 0.45/0.70 (define @t206 () (forall @t157 @t205)) % 0.45/0.70 (define @t207 () (= tptp.nonemptyI @t206)) % 0.45/0.70 (define @t208 () (=> @t87 @t200)) % 0.45/0.70 (define @t209 () (forall @t62 @t208)) % 0.45/0.70 (define @t210 () (= tptp.nonemptyI1 @t209)) % 0.45/0.70 (define @t211 () (_ @t23 @t19)) % 0.45/0.70 (define @t212 () (_ @t5 @t211)) % 0.45/0.70 (define @t213 () (forall @t133 @t212)) % 0.45/0.70 (define @t214 () (=> tptp.nonemptyI1 @t213)) % 0.45/0.70 (define @t215 () (=> tptp.nonemptyI @t214)) % 0.45/0.70 (define @t216 () (=> tptp.nonemptyE1 @t215)) % 0.45/0.70 (define @t217 () (=> tptp.setbeta @t216)) % 0.45/0.70 (define @t218 () (=> tptp.noeltsimpempty @t217)) % 0.45/0.70 (define @t219 () (=> tptp.emptyI @t218)) % 0.45/0.70 (define @t220 () (=> tptp.setext @t219)) % 0.45/0.70 (define @t221 () (=> tptp.exuE3e @t220)) % 0.45/0.70 (define @t222 () (=> tptp.notinemptyset @t221)) % 0.45/0.70 (define @t223 () (=> tptp.emptysetimpfalse @t222)) % 0.45/0.70 (define @t224 () (=> tptp.emptysetE @t223)) % 0.45/0.70 (define @t225 () (=> tptp.prop2setE @t224)) % 0.45/0.70 (define @t226 () (=> tptp.exuE1 @t225)) % 0.45/0.70 (define @t227 () (=> tptp.dsetconstrER @t226)) % 0.45/0.70 (define @t228 () (=> tptp.dsetconstrEL @t227)) % 0.45/0.70 (define @t229 () (=> tptp.dsetconstrI @t228)) % 0.45/0.70 (define @t230 () (=> tptp.descrp @t229)) % 0.45/0.70 (define @t231 () (=> tptp.wellorderingAx @t230)) % 0.45/0.70 (define @t232 () (=> tptp.foundationAx @t231)) % 0.45/0.70 (define @t233 () (=> tptp.replAx @t232)) % 0.45/0.70 (define @t234 () (=> tptp.omegaIndAx @t233)) % 0.45/0.70 (define @t235 () (=> tptp.omegaSAx @t234)) % 0.45/0.70 (define @t236 () (=> tptp.omega0Ax @t235)) % 0.45/0.70 (define @t237 () (=> tptp.setunionAx @t236)) % 0.45/0.70 (define @t238 () (=> tptp.powersetAx @t237)) % 0.45/0.70 (define @t239 () (=> tptp.setadjoinAx @t238)) % 0.45/0.70 (define @t240 () (=> tptp.emptysetAx @t239)) % 0.45/0.70 (define @t241 () (=> tptp.setextAx @t240)) % 0.45/0.70 (define @t242 () (not @t241)) % 0.45/0.70 (define @t243 () (lambda @t148 @t166)) % 0.45/0.70 (define @t244 () (lambda @t9 @t170)) % 0.45/0.70 (define @t245 () (_ tptp.powerset tptp.emptyset)) % 0.45/0.70 (define @t246 () (_ tptp.dsetconstr @t245)) % 0.45/0.70 (define @t247 () (_ @t246 @t244)) % 0.45/0.70 (define @t248 () (lambda @t175 @t247)) % 0.45/0.70 (define @t249 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.45/0.70 (define @t250 () (tptp.setadjoin @t4 @t19)) % 0.45/0.70 (define @t251 () (tptp.in @t4 @t250)) % 0.45/0.70 (define @t252 () (forall @t133 @t251)) % 0.45/0.70 (define @t253 () (@var "BOUND_VARIABLE_8446" $$unsorted)) % 0.45/0.70 (define @t254 () (not (tptp.in @t253 tptp.emptyset))) % 0.45/0.70 (define @t255 () (@list @t253)) % 0.45/0.70 (define @t256 () (tptp.dsetconstr @t2 @t141)) % 0.45/0.70 (define @t257 () (_ @t141 @t4)) % 0.45/0.70 (define @t258 () (not @t257)) % 0.45/0.70 (define @t259 () (tptp.in @t4 @t2)) % 0.45/0.70 (define @t260 () (not @t259)) % 0.45/0.70 (define @t261 () (forall @t9 @t260)) % 0.45/0.70 (define @t262 () (not @t261)) % 0.45/0.70 (define @t263 () (tptp.in @t4 @t256)) % 0.45/0.70 (define @t264 () (forall @t62 (or @t262 @t191))) % 0.45/0.70 (define @t265 () (tptp.in @t4 @t1)) % 0.45/0.70 (define @t266 () (not @t265)) % 0.45/0.70 (define @t267 () (forall @t9 (or @t266 @t259))) % 0.45/0.70 (define @t268 () (not @t267)) % 0.45/0.70 (define @t269 () (forall @t9 (or @t260 @t265))) % 0.45/0.70 (define @t270 () (not @t269)) % 0.45/0.70 (define @t271 () (or @t270 @t268 @t3)) % 0.45/0.70 (define @t272 () (@var "BOUND_VARIABLE_8343" $$unsorted)) % 0.45/0.70 (define @t273 () (_ @t141 @t19)) % 0.45/0.70 (define @t274 () (not @t273)) % 0.45/0.70 (define @t275 () (not (_ @t141 @t272))) % 0.45/0.70 (define @t276 () (not (forall @t9 @t258))) % 0.45/0.70 (define @t277 () (@list @t141 @t272)) % 0.45/0.70 (define @t278 () (tptp.in @t4 tptp.emptyset)) % 0.45/0.70 (define @t279 () (forall @t9 (not @t278))) % 0.45/0.70 (define @t280 () (@var "BOUND_VARIABLE_13683" $$unsorted)) % 0.45/0.70 (define @t281 () (lambda (@list @t280) false)) % 0.45/0.70 (define @t282 () (tptp.powerset tptp.emptyset)) % 0.45/0.70 (define @t283 () (=> (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t282 @t281)))) (=> @t279 (=> @t279 (=> @t279 (=> (forall @t277 (or @t276 @t275 (not (forall @t68 (or @t274 (= @t19 @t272)))))) (=> (forall @t12 @t271) (=> @t264 (=> @t264 (=> (forall @t157 (or @t260 (= @t257 @t263))) (=> (forall @t62 (or @t191 @t262)) (=> (forall @t157 (or @t260 @t258 (not (= tptp.emptyset @t256)))) (=> (forall @t255 @t254) @t252))))))))))))) % 0.45/0.70 (define @t284 () (not @t263)) % 0.45/0.70 (define @t285 () (forall @t157 (or @t284 @t257))) % 0.45/0.70 (define @t286 () (forall @t157 (or @t284 @t259))) % 0.45/0.70 (define @t287 () (forall @t157 (or @t260 @t258 @t263))) % 0.45/0.70 (define @t288 () (@var "BOUND_VARIABLE_8214" $$unsorted)) % 0.45/0.70 (define @t289 () (not (_ @t141 @t288))) % 0.45/0.70 (define @t290 () (_ @t141 (tptp.descr @t141))) % 0.45/0.70 (define @t291 () (@list @t141 @t288)) % 0.45/0.70 (define @t292 () (forall @t291 (or @t290 @t289 (not (forall @t68 (or @t274 (= @t19 @t288))))))) % 0.45/0.70 (define @t293 () (@var "BOUND_VARIABLE_8134" $$unsorted)) % 0.45/0.70 (define @t294 () (tptp.in @t293 @t93)) % 0.45/0.70 (define @t295 () (not (tptp.in @t293 @t91))) % 0.45/0.70 (define @t296 () (tptp.in @t4 @t91)) % 0.45/0.70 (define @t297 () (tptp.in @t91 @t1)) % 0.45/0.70 (define @t298 () (not @t297)) % 0.45/0.70 (define @t299 () (or @t298 @t296 @t295 @t294)) % 0.45/0.70 (define @t300 () (@list @t91 @t293)) % 0.45/0.70 (define @t301 () (forall @t300 @t299)) % 0.45/0.70 (define @t302 () (not @t301)) % 0.45/0.70 (define @t303 () (tptp.in @t19 @t102)) % 0.45/0.70 (define @t304 () (tptp.in @t19 @t93)) % 0.45/0.70 (define @t305 () (forall @t68 (or (not @t304) (not @t303)))) % 0.45/0.70 (define @t306 () (not @t305)) % 0.45/0.70 (define @t307 () (tptp.in @t4 @t102)) % 0.45/0.70 (define @t308 () (not @t307)) % 0.45/0.70 (define @t309 () (tptp.in @t93 @t1)) % 0.45/0.70 (define @t310 () (not @t309)) % 0.45/0.70 (define @t311 () (not (forall @t110 (or @t310 @t308 @t306 @t302)))) % 0.45/0.70 (define @t312 () (@var "BOUND_VARIABLE_8163" $$unsorted)) % 0.45/0.70 (define @t313 () (not (tptp.in @t312 @t102))) % 0.45/0.70 (define @t314 () (forall @t9 (or @t308 @t259))) % 0.45/0.70 (define @t315 () (not @t314)) % 0.45/0.70 (define @t316 () (or @t315 @t313 @t311)) % 0.45/0.70 (define @t317 () (forall (@list @t102 @t312) @t316)) % 0.45/0.70 (define @t318 () (not @t317)) % 0.45/0.70 (define @t319 () (@var "BOUND_VARIABLE_8086" $$unsorted)) % 0.45/0.70 (define @t320 () (tptp.in @t319 @t102)) % 0.45/0.70 (define @t321 () (not (tptp.in @t319 @t93))) % 0.45/0.70 (define @t322 () (@var "BOUND_VARIABLE_8080" $$unsorted)) % 0.45/0.70 (define @t323 () (tptp.in @t322 @t93)) % 0.45/0.70 (define @t324 () (not (tptp.in @t322 @t102))) % 0.45/0.70 (define @t325 () (tptp.in @t102 @t1)) % 0.45/0.70 (define @t326 () (not @t325)) % 0.45/0.70 (define @t327 () (or @t326 @t310 @t324 @t323 @t321 @t320)) % 0.45/0.70 (define @t328 () (@list @t102 @t93 @t322 @t319)) % 0.45/0.70 (define @t329 () (forall @t328 @t327)) % 0.45/0.70 (define @t330 () (not @t329)) % 0.45/0.70 (define @t331 () (forall @t116 (or @t326 (= @t307 @t303)))) % 0.45/0.70 (define @t332 () (not @t331)) % 0.45/0.70 (define @t333 () (tptp.in @t19 @t2)) % 0.45/0.70 (define @t334 () (not @t333)) % 0.45/0.70 (define @t335 () (forall @t133 (or @t260 @t334 @t332 @t127))) % 0.45/0.70 (define @t336 () (not @t335)) % 0.45/0.70 (define @t337 () (@var "BOUND_VARIABLE_8029" $$unsorted)) % 0.45/0.70 (define @t338 () (tptp.in @t337 @t2)) % 0.45/0.70 (define @t339 () (not (tptp.in @t337 @t102))) % 0.45/0.70 (define @t340 () (or @t326 @t339 @t338)) % 0.45/0.70 (define @t341 () (@list @t102 @t337)) % 0.45/0.70 (define @t342 () (forall @t341 @t340)) % 0.45/0.70 (define @t343 () (not @t342)) % 0.45/0.70 (define @t344 () (or @t343 @t336 @t330 @t318)) % 0.45/0.70 (define @t345 () (forall @t62 (not (forall @t39 @t344)))) % 0.45/0.70 (define @t346 () (forall @t9 (or @t266 @t260))) % 0.45/0.70 (define @t347 () (not @t346)) % 0.45/0.70 (define @t348 () (tptp.in @t1 @t2)) % 0.45/0.70 (define @t349 () (not @t348)) % 0.45/0.70 (define @t350 () (not (forall @t39 (or @t349 @t347)))) % 0.45/0.70 (define @t351 () (@var "BOUND_VARIABLE_8004" $$unsorted)) % 0.45/0.70 (define @t352 () (not (tptp.in @t351 @t2))) % 0.45/0.70 (define @t353 () (or @t352 @t350)) % 0.45/0.70 (define @t354 () (forall (@list @t2 @t351) @t353)) % 0.45/0.70 (define @t355 () (_ @t65 @t19 @t4)) % 0.45/0.70 (define @t356 () (not (forall @t68 (or @t334 (not @t355))))) % 0.45/0.70 (define @t357 () (forall @t9 (= @t265 @t356))) % 0.45/0.70 (define @t358 () (not (forall @t39 (not @t357)))) % 0.45/0.70 (define @t359 () (@var "BOUND_VARIABLE_7894" $$unsorted)) % 0.45/0.70 (define @t360 () (= @t19 @t359)) % 0.45/0.70 (define @t361 () (_ @t65 @t4 @t19)) % 0.45/0.70 (define @t362 () (not (forall @t68 (or (not @t361) @t360)))) % 0.45/0.70 (define @t363 () (_ @t65 @t4 @t359)) % 0.45/0.70 (define @t364 () (@list @t359)) % 0.45/0.70 (define @t365 () (not (forall @t364 (or (not @t363) @t362)))) % 0.45/0.70 (define @t366 () (forall @t9 (or @t260 @t365))) % 0.45/0.70 (define @t367 () (forall @t79 (or (not @t366) @t358))) % 0.45/0.70 (define @t368 () (@var "BOUND_VARIABLE_7875" $$unsorted)) % 0.45/0.70 (define @t369 () (tptp.in @t368 @t2)) % 0.45/0.70 (define @t370 () (not (tptp.in @t368 tptp.omega))) % 0.45/0.70 (define @t371 () (tptp.setadjoin @t4 @t4)) % 0.45/0.70 (define @t372 () (tptp.in @t371 @t2)) % 0.45/0.70 (define @t373 () (tptp.in @t4 tptp.omega)) % 0.45/0.70 (define @t374 () (not @t373)) % 0.45/0.70 (define @t375 () (forall @t9 (or @t374 @t260 @t372))) % 0.45/0.70 (define @t376 () (not @t375)) % 0.45/0.70 (define @t377 () (tptp.in tptp.emptyset @t2)) % 0.45/0.70 (define @t378 () (not @t377)) % 0.45/0.70 (define @t379 () (or @t378 @t376 @t370 @t369)) % 0.45/0.70 (define @t380 () (@list @t2 @t368)) % 0.45/0.70 (define @t381 () (forall @t380 @t379)) % 0.45/0.70 (define @t382 () (tptp.in @t371 tptp.omega)) % 0.45/0.70 (define @t383 () (forall @t9 (or @t374 @t382))) % 0.45/0.70 (define @t384 () (=> @t383 (=> @t381 (=> @t367 (=> @t354 (=> @t345 (=> @t292 (=> @t287 (=> @t286 (=> @t285 @t283)))))))))) % 0.45/0.70 (define @t385 () (tptp.in tptp.emptyset tptp.omega)) % 0.45/0.70 (define @t386 () (=> @t48 @t384)) % 0.45/0.70 (define @t387 () (tptp.setunion @t2)) % 0.45/0.70 (define @t388 () (tptp.in @t4 @t387)) % 0.45/0.70 (define @t389 () (not (forall @t39 (or @t266 @t349)))) % 0.45/0.70 (define @t390 () (forall @t44 (= @t389 @t388))) % 0.45/0.70 (define @t391 () (=> @t390 @t386)) % 0.45/0.70 (define @t392 () (tptp.powerset @t2)) % 0.45/0.70 (define @t393 () (tptp.in @t1 @t392)) % 0.45/0.70 (define @t394 () (forall @t12 (= @t267 @t393))) % 0.45/0.70 (define @t395 () (=> @t394 @t391)) % 0.45/0.70 (define @t396 () (tptp.setadjoin @t4 @t2)) % 0.45/0.70 (define @t397 () (tptp.in @t19 @t396)) % 0.45/0.70 (define @t398 () (forall @t27 (= @t397 (or @t127 @t333)))) % 0.45/0.70 (define @t399 () (=> @t398 @t395)) % 0.45/0.70 (define @t400 () (=> @t279 @t399)) % 0.45/0.70 (define @t401 () (forall @t9 (= @t259 @t265))) % 0.45/0.70 (define @t402 () (forall @t12 (or (not @t401) @t3))) % 0.45/0.70 (define @t403 () (=> @t402 @t400)) % 0.45/0.70 (define @t404 () (=> @t285 (=> true @t283))) % 0.45/0.70 (define @t405 () (=> @t286 @t404)) % 0.45/0.70 (define @t406 () (=> @t287 @t405)) % 0.45/0.70 (define @t407 () (=> @t292 @t406)) % 0.45/0.70 (define @t408 () (=> @t345 @t407)) % 0.45/0.70 (define @t409 () (=> @t354 @t408)) % 0.45/0.70 (define @t410 () (=> @t367 @t409)) % 0.45/0.70 (define @t411 () (=> @t381 @t410)) % 0.45/0.70 (define @t412 () (=> @t383 @t411)) % 0.45/0.70 (define @t413 () (=> @t48 @t412)) % 0.45/0.70 (define @t414 () (=> @t390 @t413)) % 0.45/0.70 (define @t415 () (=> @t394 @t414)) % 0.45/0.70 (define @t416 () (=> @t398 @t415)) % 0.45/0.70 (define @t417 () (=> @t279 @t416)) % 0.45/0.70 (define @t418 () (=> @t402 @t417)) % 0.45/0.70 (define @t419 () (not (= tptp.emptyset tptp.emptyset))) % 0.45/0.70 (define @t420 () (or @t254 @t419)) % 0.45/0.70 (define @t421 () (not @t191)) % 0.45/0.70 (define @t422 () (not (tptp.in @t253 @t2))) % 0.45/0.70 (define @t423 () (or @t421 @t422 @t421)) % 0.45/0.70 (define @t424 () (or @t422 @t421)) % 0.45/0.70 (define @t425 () (forall @t62 @t424)) % 0.45/0.70 (define @t426 () (forall @t255 @t425)) % 0.45/0.70 (define @t427 () (forall (@list @t253 @t2) @t424)) % 0.45/0.70 (define @t428 () (forall (@list @t2 @t253) @t424)) % 0.45/0.70 (define @t429 () (forall @t255 @t424)) % 0.45/0.70 (define @t430 () (forall @t255 @t422)) % 0.45/0.70 (define @t431 () (@list @t4)) % 0.45/0.70 (define @t432 () (or @t430 @t421)) % 0.45/0.70 (define @t433 () (not @t262)) % 0.45/0.70 (define @t434 () (_ @t249 @t2)) % 0.45/0.70 (define @t435 () (not @t193)) % 0.45/0.70 (define @t436 () (=> @t87 @t434)) % 0.45/0.70 (define @t437 () (forall @t62 @t436)) % 0.45/0.70 (define @t438 () (=> tptp.nonemptyI1 @t252)) % 0.45/0.70 (define @t439 () (lambda @t68 @t273)) % 0.45/0.70 (define @t440 () (tptp.dsetconstr @t2 @t439)) % 0.45/0.70 (define @t441 () (= tptp.emptyset @t440)) % 0.45/0.70 (define @t442 () (not @t441)) % 0.45/0.70 (define @t443 () (or @t260 @t258 @t442)) % 0.45/0.70 (define @t444 () (= tptp.emptyset @t154)) % 0.45/0.70 (define @t445 () (not @t444)) % 0.45/0.70 (define @t446 () (not @t142)) % 0.45/0.70 (define @t447 () (or @t192 @t446 @t445)) % 0.45/0.70 (define @t448 () (=> @t142 @t445)) % 0.45/0.70 (define @t449 () (not (= @t154 tptp.emptyset))) % 0.45/0.70 (define @t450 () (_ @t249 @t154)) % 0.45/0.70 (define @t451 () (=> @t142 @t450)) % 0.45/0.70 (define @t452 () (=> @t7 @t451)) % 0.45/0.70 (define @t453 () (forall @t157 @t452)) % 0.45/0.70 (define @t454 () (=> tptp.nonemptyI @t438)) % 0.45/0.70 (define @t455 () (=> @t434 @t87)) % 0.45/0.70 (define @t456 () (forall @t62 @t455)) % 0.45/0.70 (define @t457 () (=> tptp.nonemptyE1 @t454)) % 0.45/0.70 (define @t458 () (tptp.in @t4 @t440)) % 0.45/0.70 (define @t459 () (= @t257 @t458)) % 0.45/0.70 (define @t460 () (or @t260 @t459)) % 0.45/0.70 (define @t461 () (= @t142 @t155)) % 0.45/0.70 (define @t462 () (or @t192 @t461)) % 0.45/0.70 (define @t463 () (=> tptp.setbeta @t457)) % 0.45/0.70 (define @t464 () (=> tptp.noeltsimpempty @t463)) % 0.45/0.70 (define @t465 () (=> tptp.emptyI @t464)) % 0.45/0.70 (define @t466 () (=> @t267 @t3)) % 0.45/0.70 (define @t467 () (not @t6)) % 0.45/0.70 (define @t468 () (or @t467 @t7)) % 0.45/0.70 (define @t469 () (or @t192 @t6)) % 0.45/0.70 (define @t470 () (=> tptp.setext @t465)) % 0.45/0.70 (define @t471 () (or @t274 (= @t272 @t19))) % 0.45/0.70 (define @t472 () (forall @t68 @t471)) % 0.45/0.70 (define @t473 () (not @t472)) % 0.45/0.70 (define @t474 () (or @t276 @t275 @t473)) % 0.45/0.70 (define @t475 () (or @t275 @t473)) % 0.45/0.70 (define @t476 () (or @t475 @t276)) % 0.45/0.70 (define @t477 () (forall @t277 @t476)) % 0.45/0.70 (define @t478 () (@list @t272)) % 0.45/0.70 (define @t479 () (forall @t478 @t476)) % 0.45/0.70 (define @t480 () (forall @t478 @t475)) % 0.45/0.70 (define @t481 () (or @t480 @t276)) % 0.45/0.70 (define @t482 () (forall @t68 (or @t274 @t127))) % 0.45/0.70 (define @t483 () (not @t482)) % 0.45/0.70 (define @t484 () (forall @t9 (or @t258 @t483))) % 0.45/0.70 (define @t485 () (not @t484)) % 0.45/0.70 (define @t486 () (not @t485)) % 0.45/0.70 (define @t487 () (forall @t9 @t446)) % 0.45/0.70 (define @t488 () (not @t487)) % 0.45/0.70 (define @t489 () (or @t446 @t483)) % 0.45/0.70 (define @t490 () (not @t151)) % 0.45/0.70 (define @t491 () (or @t490 @t127)) % 0.45/0.70 (define @t492 () (_ @t143 @t19)) % 0.45/0.70 (define @t493 () (not @t492)) % 0.45/0.70 (define @t494 () (or @t493 @t127)) % 0.45/0.70 (define @t495 () (forall @t68 @t494)) % 0.45/0.70 (define @t496 () (not @t495)) % 0.45/0.70 (define @t497 () (_ @t143 @t4)) % 0.45/0.70 (define @t498 () (not @t497)) % 0.45/0.70 (define @t499 () (or @t498 @t496)) % 0.45/0.70 (define @t500 () (forall @t9 @t499)) % 0.45/0.70 (define @t501 () (not @t500)) % 0.45/0.70 (define @t502 () (lambda @t148 @t485)) % 0.45/0.70 (define @t503 () (_ @t502 @t143)) % 0.45/0.70 (define @t504 () (=> @t503 @t182)) % 0.45/0.70 (define @t505 () (forall @t148 @t504)) % 0.45/0.70 (define @t506 () (and @t142 @t482)) % 0.45/0.70 (define @t507 () (forall @t9 (not @t506))) % 0.45/0.70 (define @t508 () (not @t507)) % 0.45/0.70 (define @t509 () (=> tptp.exuE3e @t470)) % 0.45/0.70 (define @t510 () (=> tptp.notinemptyset @t509)) % 0.45/0.70 (define @t511 () (=> tptp.emptysetimpfalse @t510)) % 0.45/0.70 (define @t512 () (not (= @t170 false))) % 0.45/0.70 (define @t513 () (or @t170 @t170)) % 0.45/0.70 (define @t514 () (=> tptp.emptysetE @t511)) % 0.45/0.70 (define @t515 () (@var "BOUND_VARIABLE_8288" $$unsorted)) % 0.45/0.70 (define @t516 () (@list @t515)) % 0.45/0.70 (define @t517 () (lambda @t516 false)) % 0.45/0.70 (define @t518 () (@list @t515)) % 0.45/0.70 (define @t519 () (tptp.dsetconstr @t282 @t517)) % 0.45/0.70 (define @t520 () (tptp.in @t4 @t519)) % 0.45/0.70 (define @t521 () (not @t520)) % 0.45/0.70 (define @t522 () (or @t521 false)) % 0.45/0.70 (define @t523 () (lambda @t516 @t170)) % 0.45/0.70 (define @t524 () (tptp.dsetconstr @t282 @t523)) % 0.45/0.70 (define @t525 () (tptp.in @t4 @t524)) % 0.45/0.70 (define @t526 () (not @t525)) % 0.45/0.70 (define @t527 () (or @t170 @t526 @t170)) % 0.45/0.70 (define @t528 () (or @t526 @t170)) % 0.45/0.70 (define @t529 () (forall @t175 @t528)) % 0.45/0.70 (define @t530 () (forall @t9 @t529)) % 0.45/0.70 (define @t531 () (forall (@list @t4 @t170) @t528)) % 0.45/0.70 (define @t532 () (_ @t246 @t523)) % 0.45/0.70 (define @t533 () (_ @t5 @t532)) % 0.45/0.70 (define @t534 () (not @t533)) % 0.45/0.70 (define @t535 () (or @t534 @t170)) % 0.45/0.70 (define @t536 () (=> (_ @t5 @t247) @t170)) % 0.45/0.70 (define @t537 () (_ @t248 @t170)) % 0.45/0.70 (define @t538 () (=> (_ @t5 @t537) @t170)) % 0.45/0.70 (define @t539 () (forall @t172 @t538)) % 0.45/0.70 (define @t540 () (=> tptp.prop2setE @t514)) % 0.45/0.70 (define @t541 () (=> @t503 @t166)) % 0.45/0.70 (define @t542 () (forall @t148 @t541)) % 0.45/0.70 (define @t543 () (=> tptp.exuE1 @t540)) % 0.45/0.70 (define @t544 () (not @t458)) % 0.45/0.70 (define @t545 () (or @t544 @t257)) % 0.45/0.70 (define @t546 () (not @t155)) % 0.45/0.70 (define @t547 () (or @t546 @t142)) % 0.45/0.70 (define @t548 () (=> tptp.dsetconstrER @t543)) % 0.45/0.70 (define @t549 () (or @t544 @t259)) % 0.45/0.70 (define @t550 () (or @t546 @t7)) % 0.45/0.70 (define @t551 () (=> tptp.dsetconstrEL @t548)) % 0.45/0.70 (define @t552 () (or @t260 @t258 @t458)) % 0.45/0.70 (define @t553 () (or @t192 @t446 @t155)) % 0.45/0.70 (define @t554 () (=> tptp.dsetconstrI @t551)) % 0.45/0.70 (define @t555 () (or @t274 (= @t288 @t19))) % 0.45/0.70 (define @t556 () (forall @t68 @t555)) % 0.45/0.70 (define @t557 () (not @t556)) % 0.45/0.70 (define @t558 () (or @t290 @t289 @t557)) % 0.45/0.70 (define @t559 () (or @t289 @t557)) % 0.45/0.70 (define @t560 () (or @t559 @t290)) % 0.45/0.70 (define @t561 () (forall @t291 @t560)) % 0.45/0.70 (define @t562 () (@list @t288)) % 0.45/0.70 (define @t563 () (forall @t562 @t560)) % 0.45/0.70 (define @t564 () (forall @t562 @t559)) % 0.45/0.70 (define @t565 () (or @t564 @t290)) % 0.45/0.70 (define @t566 () (lambda @t9 @t257)) % 0.45/0.70 (define @t567 () (tptp.descr @t566)) % 0.45/0.70 (define @t568 () (_ @t141 @t567)) % 0.45/0.70 (define @t569 () (or @t484 @t568)) % 0.45/0.70 (define @t570 () (or @t484 @t145)) % 0.45/0.70 (define @t571 () (=> @t503 @t145)) % 0.45/0.70 (define @t572 () (forall @t148 @t571)) % 0.45/0.70 (define @t573 () (=> tptp.descrp @t554)) % 0.45/0.70 (define @t574 () (and @t342 @t335 @t329 @t317)) % 0.45/0.70 (define @t575 () (forall @t39 (not @t574))) % 0.45/0.70 (define @t576 () (not @t575)) % 0.45/0.70 (define @t577 () (@list @t312)) % 0.45/0.70 (define @t578 () (forall @t577 @t316)) % 0.45/0.70 (define @t579 () (forall @t577 @t313)) % 0.45/0.70 (define @t580 () (or @t315 @t579 @t311)) % 0.45/0.70 (define @t581 () (forall @t9 @t308)) % 0.45/0.70 (define @t582 () (or @t315 @t581 @t311)) % 0.45/0.70 (define @t583 () (not @t581)) % 0.45/0.70 (define @t584 () (and @t314 @t583)) % 0.45/0.70 (define @t585 () (not @t107)) % 0.45/0.70 (define @t586 () (not @t108)) % 0.45/0.70 (define @t587 () (or @t586 @t585 @t306 @t302)) % 0.45/0.70 (define @t588 () (and @t108 @t107 @t305 @t301)) % 0.45/0.70 (define @t589 () (forall @t110 (not @t588))) % 0.45/0.70 (define @t590 () (not @t589)) % 0.45/0.70 (define @t591 () (or @t295 @t294)) % 0.45/0.70 (define @t592 () (or @t298 @t591 @t296)) % 0.45/0.70 (define @t593 () (forall @t300 @t592)) % 0.45/0.70 (define @t594 () (@list @t293)) % 0.45/0.70 (define @t595 () (forall @t594 @t592)) % 0.45/0.70 (define @t596 () (forall @t594 @t591)) % 0.45/0.70 (define @t597 () (or @t298 @t596 @t296)) % 0.45/0.70 (define @t598 () (tptp.in @t19 @t91)) % 0.45/0.70 (define @t599 () (forall @t68 (or (not @t598) @t304))) % 0.45/0.70 (define @t600 () (not @t98)) % 0.45/0.70 (define @t601 () (or @t600 @t599 @t92)) % 0.45/0.70 (define @t602 () (or @t599 @t92)) % 0.45/0.70 (define @t603 () (not @t95)) % 0.45/0.70 (define @t604 () (or @t603 @t94)) % 0.45/0.70 (define @t605 () (not @t103)) % 0.45/0.70 (define @t606 () (not @t94)) % 0.45/0.70 (define @t607 () (or @t606 @t605)) % 0.45/0.70 (define @t608 () (forall @t68 (not @t104))) % 0.45/0.70 (define @t609 () (not @t608)) % 0.45/0.70 (define @t610 () (forall @t9 @t585)) % 0.45/0.70 (define @t611 () (not @t610)) % 0.45/0.70 (define @t612 () (or @t585 @t7)) % 0.45/0.70 (define @t613 () (or @t321 @t320)) % 0.45/0.70 (define @t614 () (or @t324 @t323)) % 0.45/0.70 (define @t615 () (or @t326 @t310 @t614 @t613)) % 0.45/0.70 (define @t616 () (forall @t328 @t615)) % 0.45/0.70 (define @t617 () (forall (@list @t322 @t319) @t615)) % 0.45/0.70 (define @t618 () (forall (@list @t319) @t613)) % 0.45/0.70 (define @t619 () (forall (@list @t322) @t614)) % 0.45/0.70 (define @t620 () (or @t326 @t310 @t619 @t618)) % 0.45/0.70 (define @t621 () (tptp.in @t4 @t93)) % 0.45/0.70 (define @t622 () (forall @t9 (or (not @t621) @t307))) % 0.45/0.70 (define @t623 () (forall @t9 (or @t308 @t621))) % 0.45/0.70 (define @t624 () (not @t122)) % 0.45/0.70 (define @t625 () (or @t624 @t586 @t623 @t622)) % 0.45/0.70 (define @t626 () (or @t623 @t622)) % 0.45/0.70 (define @t627 () (not @t118)) % 0.45/0.70 (define @t628 () (or @t627 @t107)) % 0.45/0.70 (define @t629 () (or @t585 @t118)) % 0.45/0.70 (define @t630 () (not @t21)) % 0.45/0.70 (define @t631 () (or @t192 @t630 @t332 @t127)) % 0.45/0.70 (define @t632 () (=> @t331 @t127)) % 0.45/0.70 (define @t633 () (or @t624 @t128)) % 0.45/0.70 (define @t634 () (or @t339 @t338)) % 0.45/0.70 (define @t635 () (or @t326 @t634)) % 0.45/0.70 (define @t636 () (forall @t341 @t635)) % 0.45/0.70 (define @t637 () (@list @t337)) % 0.45/0.70 (define @t638 () (forall @t637 @t635)) % 0.45/0.70 (define @t639 () (forall @t637 @t634)) % 0.45/0.70 (define @t640 () (or @t326 @t639)) % 0.45/0.70 (define @t641 () (or @t624 @t314)) % 0.45/0.70 (define @t642 () (=> tptp.wellorderingAx @t573)) % 0.45/0.70 (define @t643 () (@list @t351)) % 0.45/0.70 (define @t644 () (forall @t643 @t353)) % 0.45/0.70 (define @t645 () (forall @t643 @t352)) % 0.45/0.70 (define @t646 () (or @t645 @t350)) % 0.45/0.70 (define @t647 () (not @t37)) % 0.45/0.70 (define @t648 () (or @t647 @t347)) % 0.45/0.70 (define @t649 () (and @t37 @t346)) % 0.45/0.70 (define @t650 () (forall @t39 (not @t649))) % 0.45/0.70 (define @t651 () (not @t650)) % 0.45/0.70 (define @t652 () (or @t467 @t192)) % 0.45/0.70 (define @t653 () (forall @t9 (not @t82))) % 0.45/0.70 (define @t654 () (not @t653)) % 0.45/0.70 (define @t655 () (=> tptp.foundationAx @t642)) % 0.45/0.70 (define @t656 () (= @t6 @t356)) % 0.45/0.70 (define @t657 () (not @t66)) % 0.45/0.70 (define @t658 () (or @t630 @t657)) % 0.45/0.70 (define @t659 () (forall @t68 (not @t67))) % 0.45/0.70 (define @t660 () (not @t659)) % 0.45/0.70 (define @t661 () (or @t192 @t365)) % 0.45/0.70 (define @t662 () (_ @t73 @t359)) % 0.45/0.70 (define @t663 () (not @t662)) % 0.45/0.70 (define @t664 () (or @t663 @t362)) % 0.45/0.70 (define @t665 () (not @t74)) % 0.53/0.70 (define @t666 () (or @t665 @t360)) % 0.53/0.70 (define @t667 () (_ @t75 @t19)) % 0.53/0.70 (define @t668 () (not @t667)) % 0.53/0.70 (define @t669 () (or @t668 @t360)) % 0.53/0.70 (define @t670 () (forall @t68 @t669)) % 0.53/0.70 (define @t671 () (not @t670)) % 0.53/0.70 (define @t672 () (_ @t75 @t359)) % 0.53/0.70 (define @t673 () (not @t672)) % 0.53/0.70 (define @t674 () (or @t673 @t671)) % 0.53/0.70 (define @t675 () (forall @t364 @t674)) % 0.53/0.70 (define @t676 () (not @t675)) % 0.53/0.70 (define @t677 () (not (_ @t141 @t359))) % 0.53/0.70 (define @t678 () (or @t274 (= @t359 @t19))) % 0.53/0.70 (define @t679 () (forall @t68 @t678)) % 0.53/0.70 (define @t680 () (not @t679)) % 0.53/0.70 (define @t681 () (or @t677 @t680)) % 0.53/0.70 (define @t682 () (forall @t364 @t681)) % 0.53/0.70 (define @t683 () (not @t682)) % 0.53/0.70 (define @t684 () (=> @t7 (_ @t502 @t75))) % 0.53/0.70 (define @t685 () (forall @t9 @t684)) % 0.53/0.70 (define @t686 () (=> @t685 @t72)) % 0.53/0.70 (define @t687 () (forall @t79 @t686)) % 0.53/0.70 (define @t688 () (=> tptp.replAx @t655)) % 0.53/0.70 (define @t689 () (or @t370 @t369)) % 0.53/0.70 (define @t690 () (or @t378 @t376 @t689)) % 0.53/0.70 (define @t691 () (forall @t380 @t690)) % 0.53/0.70 (define @t692 () (@list @t368)) % 0.53/0.70 (define @t693 () (forall @t692 @t690)) % 0.53/0.70 (define @t694 () (forall @t692 @t689)) % 0.53/0.70 (define @t695 () (or @t378 @t376 @t694)) % 0.53/0.70 (define @t696 () (forall @t9 (or @t374 @t259))) % 0.53/0.70 (define @t697 () (not @t59)) % 0.53/0.70 (define @t698 () (or @t697 @t376 @t696)) % 0.53/0.70 (define @t699 () (and @t59 @t375)) % 0.53/0.70 (define @t700 () (not @t52)) % 0.53/0.70 (define @t701 () (or @t700 @t7)) % 0.53/0.70 (define @t702 () (_ tptp.in @t371)) % 0.53/0.70 (define @t703 () (or @t700 @t192 @t56)) % 0.53/0.70 (define @t704 () (=> tptp.omegaIndAx @t688)) % 0.53/0.70 (define @t705 () (or @t700 @t51)) % 0.53/0.70 (define @t706 () (=> tptp.omegaSAx @t704)) % 0.53/0.70 (define @t707 () (=> tptp.omega0Ax @t706)) % 0.53/0.70 (define @t708 () (= @t42 @t389)) % 0.53/0.70 (define @t709 () (or @t467 @t647)) % 0.53/0.70 (define @t710 () (forall @t39 (not @t38))) % 0.53/0.70 (define @t711 () (not @t710)) % 0.53/0.70 (define @t712 () (=> tptp.setunionAx @t707)) % 0.53/0.70 (define @t713 () (= @t33 @t267)) % 0.53/0.70 (define @t714 () (=> tptp.powersetAx @t712)) % 0.53/0.70 (define @t715 () (or @t127 @t21)) % 0.53/0.70 (define @t716 () (= @t25 @t715)) % 0.53/0.70 (define @t717 () (=> tptp.setadjoinAx @t714)) % 0.53/0.70 (define @t718 () (=> tptp.emptysetAx @t717)) % 0.53/0.70 (define @t719 () (=> tptp.setextAx @t718)) % 0.53/0.70 (define @t720 () (@quantifiers_skolemize @t252 1)) % 0.53/0.70 (define @t721 () (@quantifiers_skolemize @t252 0)) % 0.53/0.70 (define @t722 () (tptp.in @t721 (tptp.setadjoin @t721 @t720))) % 0.53/0.70 (define @t723 () (tptp.in @t721 @t720)) % 0.53/0.70 (define @t724 () (or (= @t721 @t721) @t723)) % 0.53/0.70 (define @t725 () (= @t722 @t724)) % 0.53/0.70 (assume @p1 @t14) % 0.53/0.70 (assume @p2 @t18) % 0.53/0.70 (assume @p3 @t29) % 0.53/0.70 (assume @p4 @t36) % 0.53/0.70 (assume @p5 @t46) % 0.53/0.70 (assume @p6 (= tptp.omega0Ax @t48)) % 0.53/0.70 (assume @p7 @t54) % 0.53/0.70 (assume @p8 @t64) % 0.53/0.70 (assume @p9 @t81) % 0.53/0.70 (assume @p10 @t90) % 0.53/0.70 (assume @p11 @t140) % 0.53/0.70 (assume @p12 @t150) % 0.53/0.70 (assume @p13 @t159) % 0.53/0.70 (assume @p14 @t161) % 0.53/0.70 (assume @p15 @t163) % 0.53/0.70 (assume @p16 @t169) % 0.53/0.70 (assume @p17 @t174) % 0.53/0.70 (assume @p18 @t179) % 0.53/0.70 (assume @p19 @t181) % 0.53/0.70 (assume @p20 (= tptp.notinemptyset @t17)) % 0.53/0.70 (assume @p21 @t185) % 0.53/0.70 (assume @p22 @t190) % 0.53/0.70 (assume @p23 @t196) % 0.53/0.70 (assume @p24 (= tptp.noeltsimpempty @t195)) % 0.53/0.70 (assume @p25 @t199) % 0.53/0.70 (assume @p26 @t203) % 0.53/0.70 (assume @p27 @t207) % 0.53/0.70 (assume @p28 @t210) % 0.53/0.70 (assume @p29 @t242) % 0.53/0.70 (assume @p30 true) % 0.53/0.70 (step @p31 (= tptp.exu @t243) :rule refl :args (@t243)) % 0.53/0.70 (step @p32 (= tptp.prop2set @t248) :rule refl :args (@t248)) % 0.53/0.70 (step @p33 (= tptp.nonempty @t249) :rule refl :args (@t249)) % 0.53/0.70 (step @p34 :rule refl :args (@t384)) % 0.53/0.70 (step @p35 :rule refl :args (@t385)) % 0.53/0.70 (step @p36 :rule refl :args (@t48)) % 0.53/0.70 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t48 @t385))) % 0.53/0.70 (step @p38 :rule symm :premises (@p37)) % 0.53/0.70 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.53/0.70 (step @p40 :rule cong :premises (@p39 @p34) :args (@t386)) % 0.53/0.70 (step @p41 :rule refl :args (@t390)) % 0.53/0.70 (step @p42 :rule cong :premises (@p41 @p40) :args (@t391)) % 0.53/0.70 (step @p43 :rule refl :args (@t394)) % 0.53/0.70 (step @p44 :rule cong :premises (@p43 @p42) :args (@t395)) % 0.53/0.70 (step @p45 :rule refl :args (@t398)) % 0.53/0.70 (step @p46 :rule cong :premises (@p45 @p44) :args (@t399)) % 0.53/0.70 (step @p47 :rule refl :args (@t279)) % 0.53/0.70 (step @p48 :rule cong :premises (@p47 @p46) :args (@t400)) % 0.53/0.70 (step @p49 :rule refl :args (@t402)) % 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@p1239)) % 0.53/0.70 (step @p1241 :rule ho_cong :premises (@p1231 @p1240)) % 0.53/0.70 (step @p1242 :rule trans :premises (@p1241 @p1236)) % 0.53/0.70 (step @p1243 :rule cong :premises (@p1242 @p1225) :args (@t713)) % 0.53/0.70 (step @p1244 :rule cong :premises (@p1243) :args ((forall @t12 @t713))) % 0.53/0.70 (step @p1245 :rule trans :premises (@p1244 @p1224)) % 0.53/0.70 (step @p1246 :rule refl :args (@t33)) % 0.53/0.70 (step @p1247 :rule cong :premises (@p1246 @p297) :args (@t34)) % 0.53/0.70 (step @p1248 :rule cong :premises (@p1247) :args (@t35)) % 0.53/0.70 (step @p1249 :rule trans :premises (@p1248 @p1245)) % 0.53/0.70 (step @p1250 :rule refl :args (tptp.powersetAx)) % 0.53/0.70 (step @p1251 :rule cong :premises (@p1250 @p1249) :args (@t36)) % 0.53/0.70 (step @p1252 :rule eq_resolve :premises (@p4 @p1251)) % 0.53/0.70 (step @p1253 :rule cong :premises (@p1252 @p1222) :args (@t714)) % 0.53/0.70 (step @p1254 :rule nary_cong :premises (@p345 @p880) :args (@t715)) % 0.53/0.70 (step @p1255 :rule refl :args ((tptp.in @t19 @t24))) % 0.53/0.70 (step @p1256 :rule refl :args (@t396)) % 0.53/0.70 (step @p1257 :rule refl :args (@t19)) % 0.53/0.70 (step @p1258 :rule cong :premises (@p1257 @p1256) :args (@t397)) % 0.53/0.70 (step @p1259 :rule trans :premises (@p1258 @p1255)) % 0.53/0.70 (step @p1260 :rule refl :args (@t20)) % 0.53/0.70 (step @p1261 :rule ho_cong :premises (@p1260 @p1256)) % 0.53/0.70 (step @p1262 :rule cong :premises (@p1261 @p1259) :args ((= (_ @t20 @t396) @t397))) % 0.53/0.70 (step @p1263 :rule symm :premises (@p1262)) % 0.53/0.70 (step @p1264 :rule refl :args (@t25)) % 0.53/0.70 (step @p1265 :rule eq_resolve :premises (@p1264 @p1263)) % 0.53/0.70 (step @p1266 :rule refl :args (@t24)) % 0.53/0.70 (step @p1267 :rule cong :premises (@p1266 @p1256) :args ((= @t24 @t396))) % 0.53/0.70 (step @p1268 :rule symm :premises (@p1267)) % 0.53/0.70 (step @p1269 :rule eq_resolve :premises (@p1266 @p1268)) % 0.53/0.70 (step @p1270 :rule ho_cong :premises (@p1260 @p1269)) % 0.53/0.70 (step @p1271 :rule trans :premises (@p1270 @p1265)) % 0.53/0.70 (step @p1272 :rule cong :premises (@p1271 @p1254) :args (@t716)) % 0.53/0.70 (step @p1273 :rule cong :premises (@p1272) :args ((forall @t27 @t716))) % 0.53/0.70 (step @p1274 :rule refl :args (@t21)) % 0.53/0.70 (step @p1275 :rule eq-symm :args (@t19 @t4)) % 0.53/0.70 (step @p1276 :rule nary_cong :premises (@p1275 @p1274) :args (@t22)) % 0.53/0.70 (step @p1277 :rule refl :args (@t25)) % 0.53/0.70 (step @p1278 :rule cong :premises (@p1277 @p1276) :args (@t26)) % 0.53/0.70 (step @p1279 :rule cong :premises (@p1278) :args (@t28)) % 0.53/0.70 (step @p1280 :rule trans :premises (@p1279 @p1273)) % 0.53/0.70 (step @p1281 :rule refl :args (tptp.setadjoinAx)) % 0.53/0.70 (step @p1282 :rule cong :premises (@p1281 @p1280) :args (@t29)) % 0.53/0.70 (step @p1283 :rule eq_resolve :premises (@p3 @p1282)) % 0.53/0.70 (step @p1284 :rule cong :premises (@p1283 @p1253) :args (@t717)) % 0.53/0.70 (step @p1285 :rule refl :args (tptp.emptysetAx)) % 0.53/0.70 (step @p1286 :rule cong :premises (@p1285 @p400) :args (@t18)) % 0.53/0.70 (step @p1287 :rule eq_resolve :premises (@p2 @p1286)) % 0.53/0.70 (step @p1288 :rule cong :premises (@p1287 @p1284) :args (@t718)) % 0.53/0.70 (step @p1289 :rule bool-impl-elim :args (@t401 @t3)) % 0.53/0.70 (step @p1290 :rule cong :premises (@p1289) :args ((forall @t12 (=> @t401 @t3)))) % 0.53/0.70 (step @p1291 :rule cong :premises (@p120 @p291) :args (@t8)) % 0.53/0.70 (step @p1292 :rule cong :premises (@p1291) :args (@t10)) % 0.53/0.70 (step @p1293 :rule cong :premises (@p1292 @p286) :args (@t11)) % 0.53/0.70 (step @p1294 :rule cong :premises (@p1293) :args (@t13)) % 0.53/0.70 (step @p1295 :rule trans :premises (@p1294 @p1290)) % 0.53/0.70 (step @p1296 :rule refl :args (tptp.setextAx)) % 0.53/0.70 (step @p1297 :rule cong :premises (@p1296 @p1295) :args (@t14)) % 0.53/0.70 (step @p1298 :rule eq_resolve :premises (@p1 @p1297)) % 0.53/0.70 (step @p1299 :rule cong :premises (@p1298 @p1288) :args (@t719)) % 0.53/0.70 (step @p1300 :rule cong :premises (@p1299) :args ((not @t719))) % 0.53/0.70 (step @p1301 :rule trans :premises (@p1300 @p78)) % 0.53/0.70 (step @p1302 :rule refl :args ((tptp.in @t4 @t211))) % 0.53/0.70 (step @p1303 :rule refl :args (@t250)) % 0.53/0.70 (step @p1304 :rule cong :premises (@p234 @p1303) :args (@t251)) % 0.53/0.70 (step @p1305 :rule trans :premises (@p1304 @p1302)) % 0.53/0.70 (step @p1306 :rule ho_cong :premises (@p237 @p1303)) % 0.53/0.70 (step @p1307 :rule cong :premises (@p1306 @p1305) :args ((= (_ @t5 @t250) @t251))) % 0.53/0.70 (step @p1308 :rule symm :premises (@p1307)) % 0.53/0.70 (step @p1309 :rule refl :args (@t212)) % 0.53/0.70 (step @p1310 :rule eq_resolve :premises (@p1309 @p1308)) % 0.53/0.70 (step @p1311 :rule refl :args (@t211)) % 0.53/0.70 (step @p1312 :rule cong :premises (@p1311 @p1303) :args ((= @t211 @t250))) % 0.53/0.70 (step @p1313 :rule symm :premises (@p1312)) % 0.53/0.70 (step @p1314 :rule eq_resolve :premises (@p1311 @p1313)) % 0.53/0.70 (step @p1315 :rule ho_cong :premises (@p237 @p1314)) % 0.53/0.70 (step @p1316 :rule trans :premises (@p1315 @p1310)) % 0.53/0.70 (step @p1317 :rule cong :premises (@p1316) :args (@t213)) % 0.53/0.70 (step @p1318 :rule cong :premises (@p129 @p1317) :args (@t214)) % 0.53/0.70 (step @p1319 :rule cong :premises (@p199 @p1318) :args (@t215)) % 0.53/0.70 (step @p1320 :rule cong :premises (@p219 @p1319) :args (@t216)) % 0.53/0.70 (step @p1321 :rule cong :premises (@p256 @p1320) :args (@t217)) % 0.53/0.70 (step @p1322 :rule cong :premises (@p261 @p1321) :args (@t218)) % 0.53/0.70 (step @p1323 :rule cong :premises (@p274 @p1322) :args (@t219)) % 0.53/0.70 (step @p1324 :rule cong :premises (@p307 @p1323) :args (@t220)) % 0.53/0.70 (step @p1325 :rule cong :premises (@p367 @p1324) :args (@t221)) % 0.53/0.70 (step @p1326 :rule cong :premises (@p393 @p1325) :args (@t222)) % 0.53/0.70 (step @p1327 :rule cong :premises (@p410 @p1326) :args (@t223)) % 0.53/0.70 (step @p1328 :rule cong :premises (@p432 @p1327) :args (@t224)) % 0.53/0.70 (step @p1329 :rule cong :premises (@p510 @p1328) :args (@t225)) % 0.53/0.70 (step @p1330 :rule cong :premises (@p534 @p1329) :args (@t226)) % 0.53/0.70 (step @p1331 :rule cong :premises (@p555 @p1330) :args (@t227)) % 0.53/0.70 (step @p1332 :rule cong :premises (@p568 @p1331) :args (@t228)) % 0.53/0.70 (step @p1333 :rule cong :premises (@p585 @p1332) :args (@t229)) % 0.53/0.70 (step @p1334 :rule cong :premises (@p653 @p1333) :args (@t230)) % 0.53/0.70 (step @p1335 :rule cong :premises (@p930 @p1334) :args (@t231)) % 0.53/0.70 (step @p1336 :rule cong :premises (@p981 @p1335) :args (@t232)) % 0.53/0.70 (step @p1337 :rule cong :premises (@p1074 @p1336) :args (@t233)) % 0.53/0.70 (step @p1338 :rule cong :premises (@p1161 @p1337) :args (@t234)) % 0.53/0.70 (step @p1339 :rule cong :premises (@p1181 @p1338) :args (@t235)) % 0.53/0.70 (step @p1340 :rule refl :args (tptp.omega0Ax)) % 0.53/0.70 (step @p1341 :rule cong :premises (@p1340 @p1339) :args (@t236)) % 0.53/0.70 (step @p1342 :rule cong :premises (@p1219 @p1341) :args (@t237)) % 0.53/0.70 (step @p1343 :rule cong :premises (@p1250 @p1342) :args (@t238)) % 0.53/0.70 (step @p1344 :rule cong :premises (@p1281 @p1343) :args (@t239)) % 0.53/0.70 (step @p1345 :rule cong :premises (@p1285 @p1344) :args (@t240)) % 0.53/0.70 (step @p1346 :rule cong :premises (@p1296 @p1345) :args (@t241)) % 0.53/0.70 (step @p1347 :rule cong :premises (@p1346) :args (@t242)) % 0.53/0.70 (step @p1348 :rule trans :premises (@p1347 @p1301 @p51)) % 0.53/0.70 (step @p1349 :rule eq_resolve :premises (@p29 @p1348)) % 0.53/0.70 (step @p1350 :rule not_implies_elim2 :premises (@p1349)) % 0.53/0.70 (step @p1351 :rule not_implies_elim2 :premises (@p1350)) % 0.53/0.70 (step @p1352 :rule not_implies_elim1 :premises (@p1351)) % 0.53/0.70 (step @p1353 :rule not_implies_elim2 :premises (@p1351)) % 0.53/0.70 (step @p1354 :rule not_implies_elim2 :premises (@p1353)) % 0.53/0.70 (step @p1355 :rule not_implies_elim2 :premises (@p1354)) % 0.53/0.70 (step @p1356 :rule not_implies_elim2 :premises (@p1355)) % 0.53/0.70 (step @p1357 :rule not_implies_elim2 :premises (@p1356)) % 0.53/0.70 (step @p1358 :rule not_implies_elim2 :premises (@p1357)) % 0.53/0.70 (step @p1359 :rule not_implies_elim2 :premises (@p1358)) % 0.53/0.70 (step @p1360 :rule not_implies_elim2 :premises (@p1359)) % 0.53/0.70 (step @p1361 :rule not_implies_elim2 :premises (@p1360)) % 0.53/0.70 (step @p1362 :rule not_implies_elim2 :premises (@p1361)) % 0.53/0.70 (step @p1363 :rule not_implies_elim2 :premises (@p1362)) % 0.53/0.70 (step @p1364 :rule not_implies_elim2 :premises (@p1363)) % 0.53/0.70 (step @p1365 :rule not_implies_elim2 :premises (@p1364)) % 0.53/0.70 (step @p1366 :rule not_implies_elim2 :premises (@p1365)) % 0.53/0.70 (step @p1367 :rule not_implies_elim2 :premises (@p1366)) % 0.53/0.70 (step @p1368 :rule not_implies_elim2 :premises (@p1367)) % 0.53/0.70 (step @p1369 :rule not_implies_elim2 :premises (@p1368)) % 0.53/0.70 (step @p1370 :rule not_implies_elim2 :premises (@p1369)) % 0.53/0.70 (step @p1371 :rule not_implies_elim2 :premises (@p1370)) % 0.53/0.70 (step @p1372 :rule not_implies_elim2 :premises (@p1371)) % 0.53/0.70 (step @p1373 :rule not_implies_elim2 :premises (@p1372)) % 0.53/0.70 (step @p1374 :rule not_implies_elim2 :premises (@p1373)) % 0.53/0.70 (step @p1375 :rule not_implies_elim2 :premises (@p1374)) % 0.53/0.70 (step @p1376 :rule not_implies_elim2 :premises (@p1375)) % 0.53/0.70 (step @p1377 :rule not_implies_elim2 :premises (@p1376)) % 0.53/0.70 (step @p1378 :rule skolemize :premises (@p1377)) % 0.53/0.70 (step @p1379 :rule bool-eq-true :args (@t722)) % 0.53/0.70 (step @p1380 :rule absorb :args ((= (or true @t723) true))) % 0.53/0.70 (step @p1381 :rule refl :args (@t723)) % 0.53/0.70 (step @p1382 :rule eq-refl :args (@t721)) % 0.53/0.70 (step @p1383 :rule nary_cong :premises (@p1382 @p1381) :args (@t724)) % 0.53/0.70 (step @p1384 :rule trans :premises (@p1383 @p1380)) % 0.53/0.70 (step @p1385 :rule refl :args (@t722)) % 0.53/0.70 (step @p1386 :rule cong :premises (@p1385 @p1384) :args (@t725)) % 0.53/0.70 (step @p1387 :rule trans :premises (@p1386 @p1379)) % 0.53/0.70 (step @p1388 :rule cong :premises (@p45 @p1387) :args ((=> @t398 @t725))) % 0.53/0.70 (assume-push @p1396 @t398) % 0.53/0.70 (step @p1390 :rule instantiate :premises (@p1352) :args ((@list @t721 @t720 @t721))) % 0.53/0.70 (step-pop @p1397 :rule scope :premises (@p1390)) % 0.53/0.70 (step @p1391 :rule process_scope :premises (@p1397) :args (@t725)) % 0.53/0.70 (step @p1393 :rule eq_resolve :premises (@p1391 @p1388)) % 0.53/0.70 (step @p1394 :rule implies_elim :premises (@p1393)) % 0.53/0.70 (step @p1395 false :rule chain_m_resolution :premises (@p1394 @p1378 @p1352) :args (false (@list true false) (@list @t722 @t398))) % 0.53/0.70 ) % 0.53/0.70 % SZS output end Proof % 0.53/0.70 % cvc5 exiting %------------------------------------------------------------------------------