%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU514^1 : 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 : n029.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 0.35s 0.71s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SEU514^1 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n029.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:40:17 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.52 %----Proving TH0 % 0.35/0.71 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.35/0.71 % SZS status Theorem % 0.35/0.71 % SZS output start Proof % 0.35/0.71 ( % 0.35/0.71 (declare-sort $$unsorted 0) % 0.35/0.71 (declare-const tptp.emptyset $$unsorted) % 0.35/0.71 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.35/0.71 (declare-const tptp.emptyinunitempty Bool) % 0.35/0.71 (declare-const tptp.nonemptyI1 Bool) % 0.35/0.71 (declare-const tptp.nonemptyI Bool) % 0.35/0.71 (declare-const tptp.nonemptyE1 Bool) % 0.35/0.71 (declare-const tptp.noeltsimpempty Bool) % 0.35/0.71 (declare-const tptp.emptyI Bool) % 0.35/0.71 (declare-const tptp.omegaIndAx Bool) % 0.35/0.71 (declare-const tptp.omega0Ax Bool) % 0.35/0.71 (declare-const tptp.setadjoinIL Bool) % 0.35/0.71 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.powersetAx Bool) % 0.35/0.71 (declare-const tptp.omegaSAx Bool) % 0.35/0.71 (declare-const tptp.setext Bool) % 0.35/0.71 (declare-const tptp.setadjoinAx Bool) % 0.35/0.71 (declare-const tptp.setbeta Bool) % 0.35/0.71 (declare-const tptp.dsetconstrER Bool) % 0.35/0.71 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.notinemptyset Bool) % 0.35/0.71 (declare-const tptp.foundationAx Bool) % 0.35/0.71 (declare-const tptp.setextAx Bool) % 0.35/0.71 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.emptysetAx Bool) % 0.35/0.71 (declare-const tptp.dsetconstrEL Bool) % 0.35/0.71 (declare-const tptp.replAx Bool) % 0.35/0.71 (declare-const tptp.emptysetimpfalse Bool) % 0.35/0.71 (declare-const tptp.wellorderingAx Bool) % 0.35/0.71 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.35/0.71 (declare-const tptp.exuE1 Bool) % 0.35/0.71 (declare-const tptp.descrp Bool) % 0.35/0.71 (declare-const tptp.dsetconstrI Bool) % 0.35/0.71 (declare-const tptp.omega $$unsorted) % 0.35/0.71 (declare-const tptp.exuE3e Bool) % 0.35/0.71 (declare-const tptp.prop2setE Bool) % 0.35/0.71 (declare-const tptp.setunionAx Bool) % 0.35/0.71 (declare-const tptp.emptysetE Bool) % 0.35/0.71 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.35/0.71 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.35/0.71 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.35/0.71 (define @t1 () (@var "B" $$unsorted)) % 0.35/0.71 (define @t2 () (@var "A" $$unsorted)) % 0.35/0.71 (define @t3 () (= @t2 @t1)) % 0.35/0.71 (define @t4 () (@var "Xx" $$unsorted)) % 0.35/0.71 (define @t5 () (_ tptp.in @t4)) % 0.35/0.71 (define @t6 () (_ @t5 @t1)) % 0.35/0.71 (define @t7 () (_ @t5 @t2)) % 0.35/0.71 (define @t8 () (= @t7 @t6)) % 0.35/0.71 (define @t9 () (@list @t4)) % 0.35/0.71 (define @t10 () (forall @t9 @t8)) % 0.35/0.71 (define @t11 () (=> @t10 @t3)) % 0.35/0.71 (define @t12 () (@list @t2 @t1)) % 0.35/0.71 (define @t13 () (forall @t12 @t11)) % 0.35/0.71 (define @t14 () (= tptp.setextAx @t13)) % 0.35/0.71 (define @t15 () (_ @t5 tptp.emptyset)) % 0.35/0.71 (define @t16 () (not @t15)) % 0.35/0.71 (define @t17 () (forall @t9 @t16)) % 0.35/0.71 (define @t18 () (= tptp.emptysetAx @t17)) % 0.35/0.71 (define @t19 () (@var "Xy" $$unsorted)) % 0.35/0.71 (define @t20 () (_ tptp.in @t19)) % 0.35/0.71 (define @t21 () (_ @t20 @t2)) % 0.35/0.71 (define @t22 () (or (= @t19 @t4) @t21)) % 0.35/0.71 (define @t23 () (_ tptp.setadjoin @t4)) % 0.35/0.71 (define @t24 () (_ @t23 @t2)) % 0.35/0.71 (define @t25 () (_ @t20 @t24)) % 0.35/0.71 (define @t26 () (= @t25 @t22)) % 0.35/0.71 (define @t27 () (@list @t4 @t2 @t19)) % 0.35/0.71 (define @t28 () (forall @t27 @t26)) % 0.35/0.71 (define @t29 () (= tptp.setadjoinAx @t28)) % 0.35/0.71 (define @t30 () (forall @t9 (=> @t6 @t7))) % 0.35/0.71 (define @t31 () (_ tptp.powerset @t2)) % 0.35/0.71 (define @t32 () (_ tptp.in @t1)) % 0.35/0.71 (define @t33 () (_ @t32 @t31)) % 0.35/0.71 (define @t34 () (= @t33 @t30)) % 0.35/0.71 (define @t35 () (forall @t12 @t34)) % 0.35/0.71 (define @t36 () (= tptp.powersetAx @t35)) % 0.35/0.71 (define @t37 () (_ @t32 @t2)) % 0.35/0.71 (define @t38 () (and @t6 @t37)) % 0.35/0.71 (define @t39 () (@list @t1)) % 0.35/0.71 (define @t40 () (exists @t39 @t38)) % 0.35/0.71 (define @t41 () (_ tptp.setunion @t2)) % 0.35/0.71 (define @t42 () (_ @t5 @t41)) % 0.35/0.71 (define @t43 () (= @t42 @t40)) % 0.35/0.71 (define @t44 () (@list @t2 @t4)) % 0.35/0.71 (define @t45 () (forall @t44 @t43)) % 0.35/0.71 (define @t46 () (= tptp.setunionAx @t45)) % 0.35/0.71 (define @t47 () (_ tptp.in tptp.emptyset)) % 0.35/0.71 (define @t48 () (_ @t47 tptp.omega)) % 0.35/0.71 (define @t49 () (_ @t23 @t4)) % 0.35/0.71 (define @t50 () (_ tptp.in @t49)) % 0.35/0.71 (define @t51 () (_ @t50 tptp.omega)) % 0.35/0.71 (define @t52 () (_ @t5 tptp.omega)) % 0.35/0.71 (define @t53 () (forall @t9 (=> @t52 @t51))) % 0.35/0.71 (define @t54 () (= tptp.omegaSAx @t53)) % 0.35/0.71 (define @t55 () (forall @t9 (=> @t52 @t7))) % 0.35/0.71 (define @t56 () (_ @t50 @t2)) % 0.35/0.71 (define @t57 () (and @t52 @t7)) % 0.35/0.71 (define @t58 () (forall @t9 (=> @t57 @t56))) % 0.35/0.71 (define @t59 () (_ @t47 @t2)) % 0.35/0.71 (define @t60 () (and @t59 @t58)) % 0.35/0.71 (define @t61 () (=> @t60 @t55)) % 0.35/0.71 (define @t62 () (@list @t2)) % 0.35/0.71 (define @t63 () (forall @t62 @t61)) % 0.35/0.71 (define @t64 () (= tptp.omegaIndAx @t63)) % 0.35/0.71 (define @t65 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.35/0.71 (define @t66 () (_ (_ @t65 @t19) @t4)) % 0.35/0.71 (define @t67 () (and @t21 @t66)) % 0.35/0.71 (define @t68 () (@list @t19)) % 0.35/0.71 (define @t69 () (exists @t68 @t67)) % 0.35/0.71 (define @t70 () (= @t6 @t69)) % 0.35/0.71 (define @t71 () (forall @t9 @t70)) % 0.35/0.71 (define @t72 () (exists @t39 @t71)) % 0.35/0.71 (define @t73 () (_ @t65 @t4)) % 0.35/0.71 (define @t74 () (_ @t73 @t19)) % 0.35/0.71 (define @t75 () (lambda @t68 @t74)) % 0.35/0.71 (define @t76 () (=> @t7 (_ tptp.exu @t75))) % 0.35/0.71 (define @t77 () (forall @t9 @t76)) % 0.35/0.71 (define @t78 () (=> @t77 @t72)) % 0.35/0.71 (define @t79 () (@list @t65 @t2)) % 0.35/0.71 (define @t80 () (forall @t79 @t78)) % 0.35/0.71 (define @t81 () (= tptp.replAx @t80)) % 0.35/0.71 (define @t82 () (and @t6 @t7)) % 0.35/0.71 (define @t83 () (exists @t9 @t82)) % 0.35/0.71 (define @t84 () (not @t83)) % 0.35/0.71 (define @t85 () (and @t37 @t84)) % 0.35/0.71 (define @t86 () (exists @t39 @t85)) % 0.35/0.71 (define @t87 () (exists @t9 @t7)) % 0.35/0.71 (define @t88 () (=> @t87 @t86)) % 0.35/0.71 (define @t89 () (forall @t62 @t88)) % 0.35/0.71 (define @t90 () (= tptp.foundationAx @t89)) % 0.35/0.71 (define @t91 () (@var "E" $$unsorted)) % 0.35/0.71 (define @t92 () (_ @t5 @t91)) % 0.35/0.71 (define @t93 () (@var "D" $$unsorted)) % 0.35/0.71 (define @t94 () (_ @t20 @t93)) % 0.35/0.71 (define @t95 () (_ @t20 @t91)) % 0.35/0.71 (define @t96 () (forall @t68 (=> @t95 @t94))) % 0.35/0.71 (define @t97 () (or @t96 @t92)) % 0.35/0.71 (define @t98 () (_ (_ tptp.in @t91) @t1)) % 0.35/0.71 (define @t99 () (=> @t98 @t97)) % 0.35/0.71 (define @t100 () (@list @t91)) % 0.35/0.71 (define @t101 () (forall @t100 @t99)) % 0.35/0.71 (define @t102 () (@var "C" $$unsorted)) % 0.35/0.71 (define @t103 () (_ @t20 @t102)) % 0.35/0.71 (define @t104 () (and @t94 @t103)) % 0.35/0.71 (define @t105 () (exists @t68 @t104)) % 0.35/0.71 (define @t106 () (not @t105)) % 0.35/0.71 (define @t107 () (_ @t5 @t102)) % 0.35/0.71 (define @t108 () (_ (_ tptp.in @t93) @t1)) % 0.35/0.71 (define @t109 () (and @t108 @t107 @t106 @t101)) % 0.35/0.71 (define @t110 () (@list @t93 @t4)) % 0.35/0.71 (define @t111 () (exists @t110 @t109)) % 0.35/0.71 (define @t112 () (exists @t9 @t107)) % 0.35/0.71 (define @t113 () (forall @t9 (=> @t107 @t7))) % 0.35/0.71 (define @t114 () (and @t113 @t112)) % 0.35/0.71 (define @t115 () (=> @t114 @t111)) % 0.35/0.71 (define @t116 () (@list @t102)) % 0.35/0.71 (define @t117 () (forall @t116 @t115)) % 0.35/0.71 (define @t118 () (_ @t5 @t93)) % 0.35/0.71 (define @t119 () (forall @t9 (=> @t118 @t107))) % 0.35/0.71 (define @t120 () (forall @t9 (=> @t107 @t118))) % 0.35/0.71 (define @t121 () (or @t120 @t119)) % 0.35/0.71 (define @t122 () (_ (_ tptp.in @t102) @t1)) % 0.35/0.71 (define @t123 () (and @t122 @t108)) % 0.35/0.71 (define @t124 () (=> @t123 @t121)) % 0.35/0.71 (define @t125 () (@list @t102 @t93)) % 0.35/0.71 (define @t126 () (forall @t125 @t124)) % 0.35/0.71 (define @t127 () (= @t4 @t19)) % 0.35/0.71 (define @t128 () (= @t107 @t103)) % 0.35/0.71 (define @t129 () (forall @t116 (=> @t122 @t128))) % 0.35/0.71 (define @t130 () (=> @t129 @t127)) % 0.35/0.71 (define @t131 () (and @t7 @t21)) % 0.35/0.71 (define @t132 () (=> @t131 @t130)) % 0.35/0.71 (define @t133 () (@list @t4 @t19)) % 0.35/0.71 (define @t134 () (forall @t133 @t132)) % 0.35/0.71 (define @t135 () (=> @t122 @t113)) % 0.35/0.71 (define @t136 () (forall @t116 @t135)) % 0.35/0.71 (define @t137 () (and @t136 @t134 @t126 @t117)) % 0.35/0.71 (define @t138 () (exists @t39 @t137)) % 0.35/0.71 (define @t139 () (forall @t62 @t138)) % 0.35/0.71 (define @t140 () (= tptp.wellorderingAx @t139)) % 0.35/0.71 (define @t141 () (@var "Xphi" (-> $$unsorted Bool))) % 0.35/0.71 (define @t142 () (_ @t141 @t4)) % 0.35/0.71 (define @t143 () (lambda @t9 @t142)) % 0.35/0.71 (define @t144 () (_ tptp.descr @t143)) % 0.35/0.71 (define @t145 () (_ @t141 @t144)) % 0.35/0.71 (define @t146 () (_ tptp.exu @t143)) % 0.35/0.71 (define @t147 () (=> @t146 @t145)) % 0.35/0.71 (define @t148 () (@list @t141)) % 0.35/0.71 (define @t149 () (forall @t148 @t147)) % 0.35/0.71 (define @t150 () (= tptp.descrp @t149)) % 0.35/0.71 (define @t151 () (_ @t141 @t19)) % 0.35/0.71 (define @t152 () (lambda @t68 @t151)) % 0.35/0.71 (define @t153 () (_ tptp.dsetconstr @t2)) % 0.35/0.71 (define @t154 () (_ @t153 @t152)) % 0.35/0.71 (define @t155 () (_ @t5 @t154)) % 0.35/0.71 (define @t156 () (=> @t142 @t155)) % 0.35/0.71 (define @t157 () (@list @t2 @t141 @t4)) % 0.35/0.71 (define @t158 () (forall @t157 (=> @t7 @t156))) % 0.35/0.71 (define @t159 () (= tptp.dsetconstrI @t158)) % 0.35/0.71 (define @t160 () (forall @t157 (=> @t155 @t7))) % 0.35/0.71 (define @t161 () (= tptp.dsetconstrEL @t160)) % 0.35/0.71 (define @t162 () (forall @t157 (=> @t155 @t142))) % 0.35/0.71 (define @t163 () (= tptp.dsetconstrER @t162)) % 0.35/0.71 (define @t164 () (forall @t68 (=> @t151 @t127))) % 0.35/0.71 (define @t165 () (and @t142 @t164)) % 0.35/0.71 (define @t166 () (exists @t9 @t165)) % 0.35/0.71 (define @t167 () (=> @t146 @t166)) % 0.35/0.71 (define @t168 () (forall @t148 @t167)) % 0.35/0.71 (define @t169 () (= tptp.exuE1 @t168)) % 0.35/0.71 (define @t170 () (@var "Xphi" Bool)) % 0.35/0.71 (define @t171 () (=> (_ @t5 (_ tptp.prop2set @t170)) @t170)) % 0.35/0.71 (define @t172 () (@list @t170 @t4)) % 0.35/0.71 (define @t173 () (forall @t172 @t171)) % 0.35/0.71 (define @t174 () (= tptp.prop2setE @t173)) % 0.35/0.71 (define @t175 () (@list @t170)) % 0.35/0.71 (define @t176 () (forall @t175 @t170)) % 0.35/0.71 (define @t177 () (=> @t15 @t176)) % 0.35/0.71 (define @t178 () (forall @t9 @t177)) % 0.35/0.71 (define @t179 () (= tptp.emptysetE @t178)) % 0.35/0.71 (define @t180 () (forall @t9 (=> @t15 false))) % 0.35/0.71 (define @t181 () (= tptp.emptysetimpfalse @t180)) % 0.35/0.71 (define @t182 () (exists @t9 @t142)) % 0.35/0.71 (define @t183 () (=> @t146 @t182)) % 0.35/0.71 (define @t184 () (forall @t148 @t183)) % 0.35/0.71 (define @t185 () (= tptp.exuE3e @t184)) % 0.35/0.71 (define @t186 () (=> @t30 @t3)) % 0.35/0.71 (define @t187 () (forall @t9 (=> @t7 @t6))) % 0.35/0.71 (define @t188 () (=> @t187 @t186)) % 0.35/0.71 (define @t189 () (forall @t12 @t188)) % 0.35/0.71 (define @t190 () (= tptp.setext @t189)) % 0.35/0.71 (define @t191 () (= @t2 tptp.emptyset)) % 0.35/0.71 (define @t192 () (not @t7)) % 0.35/0.71 (define @t193 () (forall @t9 @t192)) % 0.35/0.71 (define @t194 () (=> @t193 @t191)) % 0.35/0.71 (define @t195 () (forall @t62 @t194)) % 0.35/0.71 (define @t196 () (= tptp.emptyI @t195)) % 0.35/0.71 (define @t197 () (=> @t7 (= @t155 @t142))) % 0.35/0.71 (define @t198 () (forall @t157 @t197)) % 0.35/0.71 (define @t199 () (= tptp.setbeta @t198)) % 0.35/0.71 (define @t200 () (_ tptp.nonempty @t2)) % 0.35/0.71 (define @t201 () (=> @t200 @t87)) % 0.35/0.71 (define @t202 () (forall @t62 @t201)) % 0.35/0.71 (define @t203 () (= tptp.nonemptyE1 @t202)) % 0.35/0.71 (define @t204 () (=> @t142 (_ tptp.nonempty @t154))) % 0.35/0.71 (define @t205 () (=> @t7 @t204)) % 0.35/0.71 (define @t206 () (forall @t157 @t205)) % 0.35/0.71 (define @t207 () (= tptp.nonemptyI @t206)) % 0.35/0.71 (define @t208 () (=> @t87 @t200)) % 0.35/0.71 (define @t209 () (forall @t62 @t208)) % 0.35/0.71 (define @t210 () (= tptp.nonemptyI1 @t209)) % 0.35/0.71 (define @t211 () (_ @t23 @t19)) % 0.35/0.71 (define @t212 () (_ @t5 @t211)) % 0.35/0.71 (define @t213 () (forall @t133 @t212)) % 0.35/0.71 (define @t214 () (= tptp.setadjoinIL @t213)) % 0.35/0.71 (define @t215 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.35/0.71 (define @t216 () (_ @t47 @t215)) % 0.35/0.71 (define @t217 () (forall @t27 (=> @t21 @t25))) % 0.35/0.71 (define @t218 () (=> tptp.emptyinunitempty @t217)) % 0.35/0.71 (define @t219 () (=> tptp.setadjoinIL @t218)) % 0.35/0.71 (define @t220 () (=> tptp.nonemptyI1 @t219)) % 0.35/0.71 (define @t221 () (=> tptp.nonemptyI @t220)) % 0.35/0.71 (define @t222 () (=> tptp.nonemptyE1 @t221)) % 0.35/0.71 (define @t223 () (=> tptp.setbeta @t222)) % 0.35/0.71 (define @t224 () (=> tptp.noeltsimpempty @t223)) % 0.35/0.71 (define @t225 () (=> tptp.emptyI @t224)) % 0.35/0.71 (define @t226 () (=> tptp.setext @t225)) % 0.35/0.71 (define @t227 () (=> tptp.exuE3e @t226)) % 0.35/0.71 (define @t228 () (=> tptp.notinemptyset @t227)) % 0.35/0.71 (define @t229 () (=> tptp.emptysetimpfalse @t228)) % 0.35/0.71 (define @t230 () (=> tptp.emptysetE @t229)) % 0.35/0.71 (define @t231 () (=> tptp.prop2setE @t230)) % 0.35/0.71 (define @t232 () (=> tptp.exuE1 @t231)) % 0.35/0.71 (define @t233 () (=> tptp.dsetconstrER @t232)) % 0.35/0.71 (define @t234 () (=> tptp.dsetconstrEL @t233)) % 0.35/0.71 (define @t235 () (=> tptp.dsetconstrI @t234)) % 0.35/0.71 (define @t236 () (=> tptp.descrp @t235)) % 0.35/0.71 (define @t237 () (=> tptp.wellorderingAx @t236)) % 0.35/0.71 (define @t238 () (=> tptp.foundationAx @t237)) % 0.35/0.71 (define @t239 () (=> tptp.replAx @t238)) % 0.35/0.71 (define @t240 () (=> tptp.omegaIndAx @t239)) % 0.35/0.71 (define @t241 () (=> tptp.omegaSAx @t240)) % 0.35/0.71 (define @t242 () (=> tptp.omega0Ax @t241)) % 0.35/0.71 (define @t243 () (=> tptp.setunionAx @t242)) % 0.35/0.71 (define @t244 () (=> tptp.powersetAx @t243)) % 0.35/0.71 (define @t245 () (=> tptp.setadjoinAx @t244)) % 0.35/0.71 (define @t246 () (=> tptp.emptysetAx @t245)) % 0.35/0.71 (define @t247 () (=> tptp.setextAx @t246)) % 0.35/0.71 (define @t248 () (not @t247)) % 0.35/0.71 (define @t249 () (lambda @t148 @t166)) % 0.35/0.71 (define @t250 () (lambda @t9 @t170)) % 0.35/0.71 (define @t251 () (_ tptp.powerset tptp.emptyset)) % 0.35/0.71 (define @t252 () (_ tptp.dsetconstr @t251)) % 0.35/0.71 (define @t253 () (_ @t252 @t250)) % 0.35/0.71 (define @t254 () (lambda @t175 @t253)) % 0.35/0.71 (define @t255 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.35/0.71 (define @t256 () (tptp.setadjoin @t4 @t2)) % 0.35/0.71 (define @t257 () (tptp.in @t19 @t256)) % 0.35/0.71 (define @t258 () (tptp.in @t19 @t2)) % 0.35/0.71 (define @t259 () (not @t258)) % 0.35/0.71 (define @t260 () (forall @t27 (or @t259 @t257))) % 0.35/0.71 (define @t261 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.35/0.71 (define @t262 () (tptp.in tptp.emptyset @t261)) % 0.35/0.71 (define @t263 () (=> @t216 @t260)) % 0.35/0.71 (define @t264 () (tptp.setadjoin @t4 @t19)) % 0.35/0.71 (define @t265 () (tptp.in @t4 @t264)) % 0.35/0.71 (define @t266 () (forall @t133 @t265)) % 0.35/0.71 (define @t267 () (=> @t266 @t263)) % 0.35/0.71 (define @t268 () (@var "BOUND_VARIABLE_8457" $$unsorted)) % 0.35/0.71 (define @t269 () (not (tptp.in @t268 tptp.emptyset))) % 0.35/0.71 (define @t270 () (@list @t268)) % 0.35/0.71 (define @t271 () (forall @t270 @t269)) % 0.35/0.71 (define @t272 () (=> @t271 @t267)) % 0.35/0.71 (define @t273 () (tptp.dsetconstr @t2 @t141)) % 0.35/0.71 (define @t274 () (_ @t141 @t4)) % 0.35/0.71 (define @t275 () (not @t274)) % 0.35/0.71 (define @t276 () (tptp.in @t4 @t2)) % 0.35/0.71 (define @t277 () (not @t276)) % 0.35/0.71 (define @t278 () (forall @t157 (or @t277 @t275 (not (= tptp.emptyset @t273))))) % 0.35/0.71 (define @t279 () (=> @t278 @t272)) % 0.35/0.71 (define @t280 () (forall @t9 @t277)) % 0.35/0.71 (define @t281 () (not @t280)) % 0.35/0.71 (define @t282 () (forall @t62 (or @t191 @t281))) % 0.35/0.71 (define @t283 () (=> @t282 @t279)) % 0.35/0.71 (define @t284 () (tptp.in @t4 @t273)) % 0.35/0.71 (define @t285 () (forall @t157 (or @t277 (= @t274 @t284)))) % 0.35/0.71 (define @t286 () (=> @t285 @t283)) % 0.35/0.71 (define @t287 () (forall @t62 (or @t281 @t191))) % 0.35/0.71 (define @t288 () (=> @t287 @t286)) % 0.35/0.71 (define @t289 () (=> @t287 @t288)) % 0.35/0.71 (define @t290 () (tptp.in @t4 @t1)) % 0.35/0.71 (define @t291 () (not @t290)) % 0.35/0.71 (define @t292 () (forall @t9 (or @t291 @t276))) % 0.35/0.71 (define @t293 () (not @t292)) % 0.35/0.71 (define @t294 () (forall @t9 (or @t277 @t290))) % 0.35/0.71 (define @t295 () (not @t294)) % 0.35/0.71 (define @t296 () (or @t295 @t293 @t3)) % 0.35/0.71 (define @t297 () (forall @t12 @t296)) % 0.35/0.71 (define @t298 () (=> @t297 @t289)) % 0.35/0.71 (define @t299 () (@var "BOUND_VARIABLE_8354" $$unsorted)) % 0.35/0.71 (define @t300 () (_ @t141 @t19)) % 0.35/0.71 (define @t301 () (not @t300)) % 0.35/0.71 (define @t302 () (not (_ @t141 @t299))) % 0.35/0.71 (define @t303 () (not (forall @t9 @t275))) % 0.35/0.71 (define @t304 () (@list @t141 @t299)) % 0.35/0.71 (define @t305 () (forall @t304 (or @t303 @t302 (not (forall @t68 (or @t301 (= @t19 @t299))))))) % 0.35/0.71 (define @t306 () (=> @t305 @t298)) % 0.35/0.71 (define @t307 () (tptp.in @t4 tptp.emptyset)) % 0.35/0.71 (define @t308 () (forall @t9 (not @t307))) % 0.35/0.71 (define @t309 () (=> @t308 @t306)) % 0.35/0.71 (define @t310 () (=> @t308 @t309)) % 0.35/0.71 (define @t311 () (=> @t308 @t310)) % 0.35/0.71 (define @t312 () (@var "BOUND_VARIABLE_13895" $$unsorted)) % 0.35/0.71 (define @t313 () (lambda (@list @t312) false)) % 0.35/0.71 (define @t314 () (tptp.powerset tptp.emptyset)) % 0.35/0.71 (define @t315 () (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t314 @t313))))) % 0.35/0.71 (define @t316 () (=> @t315 @t311)) % 0.35/0.71 (define @t317 () (not @t284)) % 0.35/0.71 (define @t318 () (forall @t157 (or @t317 @t274))) % 0.35/0.71 (define @t319 () (=> @t318 @t316)) % 0.35/0.71 (define @t320 () (forall @t157 (or @t317 @t276))) % 0.35/0.71 (define @t321 () (=> @t320 @t319)) % 0.35/0.71 (define @t322 () (forall @t157 (or @t277 @t275 @t284))) % 0.35/0.71 (define @t323 () (=> @t322 @t321)) % 0.35/0.71 (define @t324 () (@var "BOUND_VARIABLE_8225" $$unsorted)) % 0.35/0.71 (define @t325 () (not (_ @t141 @t324))) % 0.35/0.71 (define @t326 () (_ @t141 (tptp.descr @t141))) % 0.35/0.71 (define @t327 () (@list @t141 @t324)) % 0.35/0.71 (define @t328 () (forall @t327 (or @t326 @t325 (not (forall @t68 (or @t301 (= @t19 @t324))))))) % 0.35/0.71 (define @t329 () (=> @t328 @t323)) % 0.35/0.71 (define @t330 () (@var "BOUND_VARIABLE_8145" $$unsorted)) % 0.35/0.71 (define @t331 () (tptp.in @t330 @t93)) % 0.35/0.71 (define @t332 () (not (tptp.in @t330 @t91))) % 0.35/0.71 (define @t333 () (tptp.in @t4 @t91)) % 0.35/0.71 (define @t334 () (tptp.in @t91 @t1)) % 0.35/0.71 (define @t335 () (not @t334)) % 0.35/0.71 (define @t336 () (or @t335 @t333 @t332 @t331)) % 0.35/0.71 (define @t337 () (@list @t91 @t330)) % 0.35/0.71 (define @t338 () (forall @t337 @t336)) % 0.35/0.71 (define @t339 () (not @t338)) % 0.35/0.71 (define @t340 () (tptp.in @t19 @t102)) % 0.35/0.71 (define @t341 () (tptp.in @t19 @t93)) % 0.35/0.71 (define @t342 () (forall @t68 (or (not @t341) (not @t340)))) % 0.35/0.71 (define @t343 () (not @t342)) % 0.35/0.71 (define @t344 () (tptp.in @t4 @t102)) % 0.35/0.71 (define @t345 () (not @t344)) % 0.35/0.71 (define @t346 () (tptp.in @t93 @t1)) % 0.35/0.71 (define @t347 () (not @t346)) % 0.35/0.71 (define @t348 () (not (forall @t110 (or @t347 @t345 @t343 @t339)))) % 0.35/0.71 (define @t349 () (@var "BOUND_VARIABLE_8174" $$unsorted)) % 0.35/0.71 (define @t350 () (not (tptp.in @t349 @t102))) % 0.35/0.71 (define @t351 () (forall @t9 (or @t345 @t276))) % 0.35/0.71 (define @t352 () (not @t351)) % 0.35/0.71 (define @t353 () (or @t352 @t350 @t348)) % 0.35/0.71 (define @t354 () (forall (@list @t102 @t349) @t353)) % 0.35/0.71 (define @t355 () (not @t354)) % 0.35/0.71 (define @t356 () (@var "BOUND_VARIABLE_8097" $$unsorted)) % 0.35/0.71 (define @t357 () (tptp.in @t356 @t102)) % 0.35/0.71 (define @t358 () (not (tptp.in @t356 @t93))) % 0.35/0.71 (define @t359 () (@var "BOUND_VARIABLE_8091" $$unsorted)) % 0.35/0.71 (define @t360 () (tptp.in @t359 @t93)) % 0.35/0.71 (define @t361 () (not (tptp.in @t359 @t102))) % 0.35/0.71 (define @t362 () (tptp.in @t102 @t1)) % 0.35/0.71 (define @t363 () (not @t362)) % 0.35/0.71 (define @t364 () (or @t363 @t347 @t361 @t360 @t358 @t357)) % 0.35/0.71 (define @t365 () (@list @t102 @t93 @t359 @t356)) % 0.35/0.71 (define @t366 () (forall @t365 @t364)) % 0.35/0.71 (define @t367 () (not @t366)) % 0.35/0.71 (define @t368 () (forall @t116 (or @t363 (= @t344 @t340)))) % 0.35/0.71 (define @t369 () (not @t368)) % 0.35/0.71 (define @t370 () (forall @t133 (or @t277 @t259 @t369 @t127))) % 0.35/0.71 (define @t371 () (not @t370)) % 0.35/0.71 (define @t372 () (@var "BOUND_VARIABLE_8040" $$unsorted)) % 0.35/0.71 (define @t373 () (tptp.in @t372 @t2)) % 0.35/0.71 (define @t374 () (not (tptp.in @t372 @t102))) % 0.35/0.71 (define @t375 () (or @t363 @t374 @t373)) % 0.35/0.71 (define @t376 () (@list @t102 @t372)) % 0.35/0.71 (define @t377 () (forall @t376 @t375)) % 0.35/0.71 (define @t378 () (not @t377)) % 0.35/0.71 (define @t379 () (or @t378 @t371 @t367 @t355)) % 0.35/0.71 (define @t380 () (forall @t62 (not (forall @t39 @t379)))) % 0.35/0.71 (define @t381 () (=> @t380 @t329)) % 0.35/0.71 (define @t382 () (forall @t9 (or @t291 @t277))) % 0.35/0.71 (define @t383 () (not @t382)) % 0.35/0.71 (define @t384 () (tptp.in @t1 @t2)) % 0.35/0.71 (define @t385 () (not @t384)) % 0.35/0.71 (define @t386 () (not (forall @t39 (or @t385 @t383)))) % 0.35/0.71 (define @t387 () (@var "BOUND_VARIABLE_8015" $$unsorted)) % 0.35/0.71 (define @t388 () (not (tptp.in @t387 @t2))) % 0.35/0.71 (define @t389 () (or @t388 @t386)) % 0.35/0.71 (define @t390 () (forall (@list @t2 @t387) @t389)) % 0.35/0.71 (define @t391 () (=> @t390 @t381)) % 0.35/0.71 (define @t392 () (_ @t65 @t19 @t4)) % 0.35/0.71 (define @t393 () (not (forall @t68 (or @t259 (not @t392))))) % 0.35/0.71 (define @t394 () (forall @t9 (= @t290 @t393))) % 0.35/0.71 (define @t395 () (not (forall @t39 (not @t394)))) % 0.35/0.71 (define @t396 () (@var "BOUND_VARIABLE_7905" $$unsorted)) % 0.35/0.71 (define @t397 () (= @t19 @t396)) % 0.35/0.71 (define @t398 () (_ @t65 @t4 @t19)) % 0.35/0.71 (define @t399 () (not (forall @t68 (or (not @t398) @t397)))) % 0.35/0.71 (define @t400 () (_ @t65 @t4 @t396)) % 0.35/0.71 (define @t401 () (@list @t396)) % 0.35/0.71 (define @t402 () (not (forall @t401 (or (not @t400) @t399)))) % 0.35/0.71 (define @t403 () (forall @t9 (or @t277 @t402))) % 0.35/0.71 (define @t404 () (forall @t79 (or (not @t403) @t395))) % 0.35/0.71 (define @t405 () (=> @t404 @t391)) % 0.35/0.71 (define @t406 () (@var "BOUND_VARIABLE_7886" $$unsorted)) % 0.35/0.71 (define @t407 () (tptp.in @t406 @t2)) % 0.35/0.71 (define @t408 () (not (tptp.in @t406 tptp.omega))) % 0.35/0.71 (define @t409 () (tptp.setadjoin @t4 @t4)) % 0.35/0.71 (define @t410 () (tptp.in @t409 @t2)) % 0.35/0.71 (define @t411 () (tptp.in @t4 tptp.omega)) % 0.35/0.71 (define @t412 () (not @t411)) % 0.35/0.71 (define @t413 () (forall @t9 (or @t412 @t277 @t410))) % 0.35/0.71 (define @t414 () (not @t413)) % 0.35/0.71 (define @t415 () (tptp.in tptp.emptyset @t2)) % 0.35/0.71 (define @t416 () (not @t415)) % 0.35/0.71 (define @t417 () (or @t416 @t414 @t408 @t407)) % 0.35/0.71 (define @t418 () (@list @t2 @t406)) % 0.35/0.71 (define @t419 () (forall @t418 @t417)) % 0.35/0.71 (define @t420 () (=> @t419 @t405)) % 0.35/0.71 (define @t421 () (tptp.in @t409 tptp.omega)) % 0.35/0.71 (define @t422 () (forall @t9 (or @t412 @t421))) % 0.35/0.71 (define @t423 () (=> @t422 @t420)) % 0.35/0.71 (define @t424 () (tptp.in tptp.emptyset tptp.omega)) % 0.35/0.71 (define @t425 () (=> @t48 @t423)) % 0.35/0.71 (define @t426 () (tptp.setunion @t2)) % 0.35/0.71 (define @t427 () (tptp.in @t4 @t426)) % 0.35/0.71 (define @t428 () (not (forall @t39 (or @t291 @t385)))) % 0.35/0.71 (define @t429 () (forall @t44 (= @t428 @t427))) % 0.35/0.71 (define @t430 () (=> @t429 @t425)) % 0.35/0.71 (define @t431 () (tptp.powerset @t2)) % 0.35/0.71 (define @t432 () (tptp.in @t1 @t431)) % 0.35/0.71 (define @t433 () (forall @t12 (= @t292 @t432))) % 0.35/0.71 (define @t434 () (=> @t433 @t430)) % 0.35/0.71 (define @t435 () (forall @t27 (= @t257 (or @t127 @t258)))) % 0.35/0.71 (define @t436 () (=> @t435 @t434)) % 0.35/0.71 (define @t437 () (=> @t308 @t436)) % 0.35/0.71 (define @t438 () (forall @t9 (= @t276 @t290))) % 0.35/0.71 (define @t439 () (forall @t12 (or (not @t438) @t3))) % 0.35/0.71 (define @t440 () (=> @t439 @t437)) % 0.35/0.71 (define @t441 () (=> @t318 (=> true @t316))) % 0.35/0.71 (define @t442 () (=> @t320 @t441)) % 0.35/0.71 (define @t443 () (=> @t322 @t442)) % 0.35/0.71 (define @t444 () (=> @t328 @t443)) % 0.35/0.71 (define @t445 () (=> @t380 @t444)) % 0.35/0.71 (define @t446 () (=> @t390 @t445)) % 0.35/0.71 (define @t447 () (=> @t404 @t446)) % 0.35/0.71 (define @t448 () (=> @t419 @t447)) % 0.35/0.71 (define @t449 () (=> @t422 @t448)) % 0.35/0.71 (define @t450 () (=> @t48 @t449)) % 0.35/0.71 (define @t451 () (=> @t429 @t450)) % 0.35/0.71 (define @t452 () (=> @t433 @t451)) % 0.35/0.71 (define @t453 () (=> @t435 @t452)) % 0.35/0.71 (define @t454 () (=> @t308 @t453)) % 0.35/0.71 (define @t455 () (=> @t439 @t454)) % 0.35/0.71 (define @t456 () (=> tptp.emptyinunitempty @t260)) % 0.35/0.71 (define @t457 () (=> tptp.setadjoinIL @t456)) % 0.35/0.71 (define @t458 () (not (= tptp.emptyset tptp.emptyset))) % 0.35/0.71 (define @t459 () (or @t269 @t458)) % 0.35/0.71 (define @t460 () (not @t191)) % 0.35/0.71 (define @t461 () (not (tptp.in @t268 @t2))) % 0.35/0.71 (define @t462 () (or @t460 @t461 @t460)) % 0.35/0.71 (define @t463 () (or @t461 @t460)) % 0.35/0.71 (define @t464 () (forall @t62 @t463)) % 0.35/0.71 (define @t465 () (forall @t270 @t464)) % 0.35/0.71 (define @t466 () (forall (@list @t268 @t2) @t463)) % 0.35/0.71 (define @t467 () (forall (@list @t2 @t268) @t463)) % 0.35/0.71 (define @t468 () (forall @t270 @t463)) % 0.35/0.71 (define @t469 () (forall @t270 @t461)) % 0.35/0.71 (define @t470 () (@list @t4)) % 0.35/0.71 (define @t471 () (or @t469 @t460)) % 0.35/0.71 (define @t472 () (not @t281)) % 0.35/0.71 (define @t473 () (_ @t255 @t2)) % 0.35/0.71 (define @t474 () (not @t193)) % 0.35/0.71 (define @t475 () (=> @t87 @t473)) % 0.35/0.71 (define @t476 () (forall @t62 @t475)) % 0.35/0.71 (define @t477 () (=> tptp.nonemptyI1 @t457)) % 0.35/0.71 (define @t478 () (lambda @t68 @t300)) % 0.35/0.71 (define @t479 () (tptp.dsetconstr @t2 @t478)) % 0.35/0.71 (define @t480 () (= tptp.emptyset @t479)) % 0.35/0.71 (define @t481 () (not @t480)) % 0.35/0.71 (define @t482 () (or @t277 @t275 @t481)) % 0.35/0.71 (define @t483 () (= tptp.emptyset @t154)) % 0.35/0.71 (define @t484 () (not @t483)) % 0.35/0.71 (define @t485 () (not @t142)) % 0.35/0.71 (define @t486 () (or @t192 @t485 @t484)) % 0.35/0.71 (define @t487 () (=> @t142 @t484)) % 0.35/0.71 (define @t488 () (not (= @t154 tptp.emptyset))) % 0.35/0.71 (define @t489 () (_ @t255 @t154)) % 0.35/0.71 (define @t490 () (=> @t142 @t489)) % 0.35/0.71 (define @t491 () (=> @t7 @t490)) % 0.35/0.71 (define @t492 () (forall @t157 @t491)) % 0.35/0.71 (define @t493 () (=> tptp.nonemptyI @t477)) % 0.35/0.71 (define @t494 () (=> @t473 @t87)) % 0.35/0.71 (define @t495 () (forall @t62 @t494)) % 0.35/0.71 (define @t496 () (=> tptp.nonemptyE1 @t493)) % 0.35/0.71 (define @t497 () (tptp.in @t4 @t479)) % 0.35/0.71 (define @t498 () (= @t274 @t497)) % 0.35/0.71 (define @t499 () (or @t277 @t498)) % 0.35/0.71 (define @t500 () (= @t142 @t155)) % 0.35/0.71 (define @t501 () (or @t192 @t500)) % 0.35/0.71 (define @t502 () (=> tptp.setbeta @t496)) % 0.35/0.71 (define @t503 () (=> tptp.noeltsimpempty @t502)) % 0.35/0.71 (define @t504 () (=> tptp.emptyI @t503)) % 0.35/0.71 (define @t505 () (=> @t292 @t3)) % 0.35/0.71 (define @t506 () (not @t6)) % 0.35/0.71 (define @t507 () (or @t506 @t7)) % 0.35/0.71 (define @t508 () (or @t192 @t6)) % 0.35/0.71 (define @t509 () (=> tptp.setext @t504)) % 0.35/0.71 (define @t510 () (or @t301 (= @t299 @t19))) % 0.35/0.71 (define @t511 () (forall @t68 @t510)) % 0.35/0.71 (define @t512 () (not @t511)) % 0.35/0.71 (define @t513 () (or @t303 @t302 @t512)) % 0.35/0.71 (define @t514 () (or @t302 @t512)) % 0.35/0.71 (define @t515 () (or @t514 @t303)) % 0.35/0.71 (define @t516 () (forall @t304 @t515)) % 0.35/0.71 (define @t517 () (@list @t299)) % 0.35/0.71 (define @t518 () (forall @t517 @t515)) % 0.35/0.71 (define @t519 () (forall @t517 @t514)) % 0.35/0.71 (define @t520 () (or @t519 @t303)) % 0.35/0.71 (define @t521 () (forall @t68 (or @t301 @t127))) % 0.35/0.71 (define @t522 () (not @t521)) % 0.35/0.71 (define @t523 () (forall @t9 (or @t275 @t522))) % 0.35/0.71 (define @t524 () (not @t523)) % 0.35/0.71 (define @t525 () (not @t524)) % 0.35/0.71 (define @t526 () (forall @t9 @t485)) % 0.35/0.71 (define @t527 () (not @t526)) % 0.35/0.71 (define @t528 () (or @t485 @t522)) % 0.35/0.71 (define @t529 () (not @t151)) % 0.35/0.71 (define @t530 () (or @t529 @t127)) % 0.35/0.71 (define @t531 () (_ @t143 @t19)) % 0.35/0.71 (define @t532 () (not @t531)) % 0.35/0.71 (define @t533 () (or @t532 @t127)) % 0.35/0.71 (define @t534 () (forall @t68 @t533)) % 0.35/0.71 (define @t535 () (not @t534)) % 0.35/0.71 (define @t536 () (_ @t143 @t4)) % 0.35/0.71 (define @t537 () (not @t536)) % 0.35/0.71 (define @t538 () (or @t537 @t535)) % 0.35/0.71 (define @t539 () (forall @t9 @t538)) % 0.35/0.71 (define @t540 () (not @t539)) % 0.35/0.71 (define @t541 () (lambda @t148 @t524)) % 0.35/0.71 (define @t542 () (_ @t541 @t143)) % 0.35/0.71 (define @t543 () (=> @t542 @t182)) % 0.35/0.71 (define @t544 () (forall @t148 @t543)) % 0.35/0.71 (define @t545 () (and @t142 @t521)) % 0.35/0.71 (define @t546 () (forall @t9 (not @t545))) % 0.35/0.71 (define @t547 () (not @t546)) % 0.35/0.71 (define @t548 () (=> tptp.exuE3e @t509)) % 0.35/0.71 (define @t549 () (=> tptp.notinemptyset @t548)) % 0.35/0.71 (define @t550 () (=> tptp.emptysetimpfalse @t549)) % 0.35/0.71 (define @t551 () (not (= @t170 false))) % 0.35/0.71 (define @t552 () (or @t170 @t170)) % 0.35/0.71 (define @t553 () (=> tptp.emptysetE @t550)) % 0.35/0.71 (define @t554 () (@var "BOUND_VARIABLE_8299" $$unsorted)) % 0.35/0.71 (define @t555 () (@list @t554)) % 0.35/0.71 (define @t556 () (lambda @t555 false)) % 0.35/0.71 (define @t557 () (@list @t554)) % 0.35/0.71 (define @t558 () (tptp.dsetconstr @t314 @t556)) % 0.35/0.71 (define @t559 () (tptp.in @t4 @t558)) % 0.35/0.71 (define @t560 () (not @t559)) % 0.35/0.71 (define @t561 () (or @t560 false)) % 0.35/0.71 (define @t562 () (lambda @t555 @t170)) % 0.35/0.71 (define @t563 () (tptp.dsetconstr @t314 @t562)) % 0.35/0.71 (define @t564 () (tptp.in @t4 @t563)) % 0.35/0.71 (define @t565 () (not @t564)) % 0.35/0.71 (define @t566 () (or @t170 @t565 @t170)) % 0.35/0.71 (define @t567 () (or @t565 @t170)) % 0.35/0.71 (define @t568 () (forall @t175 @t567)) % 0.35/0.71 (define @t569 () (forall @t9 @t568)) % 0.35/0.71 (define @t570 () (forall (@list @t4 @t170) @t567)) % 0.35/0.71 (define @t571 () (_ @t252 @t562)) % 0.35/0.71 (define @t572 () (_ @t5 @t571)) % 0.35/0.71 (define @t573 () (not @t572)) % 0.35/0.71 (define @t574 () (or @t573 @t170)) % 0.35/0.71 (define @t575 () (=> (_ @t5 @t253) @t170)) % 0.35/0.71 (define @t576 () (_ @t254 @t170)) % 0.35/0.71 (define @t577 () (=> (_ @t5 @t576) @t170)) % 0.35/0.71 (define @t578 () (forall @t172 @t577)) % 0.35/0.71 (define @t579 () (=> tptp.prop2setE @t553)) % 0.35/0.71 (define @t580 () (=> @t542 @t166)) % 0.35/0.71 (define @t581 () (forall @t148 @t580)) % 0.35/0.71 (define @t582 () (=> tptp.exuE1 @t579)) % 0.35/0.71 (define @t583 () (not @t497)) % 0.35/0.71 (define @t584 () (or @t583 @t274)) % 0.35/0.71 (define @t585 () (not @t155)) % 0.35/0.71 (define @t586 () (or @t585 @t142)) % 0.35/0.71 (define @t587 () (=> tptp.dsetconstrER @t582)) % 0.35/0.71 (define @t588 () (or @t583 @t276)) % 0.35/0.71 (define @t589 () (or @t585 @t7)) % 0.35/0.71 (define @t590 () (=> tptp.dsetconstrEL @t587)) % 0.35/0.71 (define @t591 () (or @t277 @t275 @t497)) % 0.35/0.71 (define @t592 () (or @t192 @t485 @t155)) % 0.35/0.71 (define @t593 () (=> tptp.dsetconstrI @t590)) % 0.35/0.71 (define @t594 () (or @t301 (= @t324 @t19))) % 0.35/0.71 (define @t595 () (forall @t68 @t594)) % 0.35/0.71 (define @t596 () (not @t595)) % 0.35/0.71 (define @t597 () (or @t326 @t325 @t596)) % 0.35/0.71 (define @t598 () (or @t325 @t596)) % 0.35/0.71 (define @t599 () (or @t598 @t326)) % 0.35/0.71 (define @t600 () (forall @t327 @t599)) % 0.35/0.71 (define @t601 () (@list @t324)) % 0.35/0.71 (define @t602 () (forall @t601 @t599)) % 0.35/0.71 (define @t603 () (forall @t601 @t598)) % 0.35/0.71 (define @t604 () (or @t603 @t326)) % 0.35/0.71 (define @t605 () (lambda @t9 @t274)) % 0.35/0.71 (define @t606 () (tptp.descr @t605)) % 0.35/0.71 (define @t607 () (_ @t141 @t606)) % 0.35/0.71 (define @t608 () (or @t523 @t607)) % 0.35/0.71 (define @t609 () (or @t523 @t145)) % 0.35/0.71 (define @t610 () (=> @t542 @t145)) % 0.35/0.71 (define @t611 () (forall @t148 @t610)) % 0.35/0.71 (define @t612 () (=> tptp.descrp @t593)) % 0.35/0.71 (define @t613 () (and @t377 @t370 @t366 @t354)) % 0.35/0.71 (define @t614 () (forall @t39 (not @t613))) % 0.35/0.71 (define @t615 () (not @t614)) % 0.35/0.71 (define @t616 () (@list @t349)) % 0.35/0.71 (define @t617 () (forall @t616 @t353)) % 0.35/0.71 (define @t618 () (forall @t616 @t350)) % 0.35/0.71 (define @t619 () (or @t352 @t618 @t348)) % 0.35/0.71 (define @t620 () (forall @t9 @t345)) % 0.35/0.71 (define @t621 () (or @t352 @t620 @t348)) % 0.35/0.71 (define @t622 () (not @t620)) % 0.35/0.71 (define @t623 () (and @t351 @t622)) % 0.35/0.71 (define @t624 () (not @t107)) % 0.35/0.71 (define @t625 () (not @t108)) % 0.35/0.71 (define @t626 () (or @t625 @t624 @t343 @t339)) % 0.35/0.71 (define @t627 () (and @t108 @t107 @t342 @t338)) % 0.35/0.71 (define @t628 () (forall @t110 (not @t627))) % 0.35/0.71 (define @t629 () (not @t628)) % 0.35/0.71 (define @t630 () (or @t332 @t331)) % 0.35/0.71 (define @t631 () (or @t335 @t630 @t333)) % 0.35/0.71 (define @t632 () (forall @t337 @t631)) % 0.35/0.71 (define @t633 () (@list @t330)) % 0.35/0.71 (define @t634 () (forall @t633 @t631)) % 0.35/0.71 (define @t635 () (forall @t633 @t630)) % 0.35/0.71 (define @t636 () (or @t335 @t635 @t333)) % 0.35/0.71 (define @t637 () (tptp.in @t19 @t91)) % 0.35/0.71 (define @t638 () (forall @t68 (or (not @t637) @t341))) % 0.35/0.71 (define @t639 () (not @t98)) % 0.35/0.71 (define @t640 () (or @t639 @t638 @t92)) % 0.35/0.71 (define @t641 () (or @t638 @t92)) % 0.35/0.71 (define @t642 () (not @t95)) % 0.35/0.71 (define @t643 () (or @t642 @t94)) % 0.35/0.71 (define @t644 () (not @t103)) % 0.35/0.71 (define @t645 () (not @t94)) % 0.35/0.71 (define @t646 () (or @t645 @t644)) % 0.35/0.71 (define @t647 () (forall @t68 (not @t104))) % 0.35/0.71 (define @t648 () (not @t647)) % 0.35/0.71 (define @t649 () (forall @t9 @t624)) % 0.35/0.71 (define @t650 () (not @t649)) % 0.35/0.71 (define @t651 () (or @t624 @t7)) % 0.35/0.71 (define @t652 () (or @t358 @t357)) % 0.35/0.71 (define @t653 () (or @t361 @t360)) % 0.35/0.71 (define @t654 () (or @t363 @t347 @t653 @t652)) % 0.35/0.71 (define @t655 () (forall @t365 @t654)) % 0.35/0.71 (define @t656 () (forall (@list @t359 @t356) @t654)) % 0.35/0.71 (define @t657 () (forall (@list @t356) @t652)) % 0.35/0.71 (define @t658 () (forall (@list @t359) @t653)) % 0.35/0.71 (define @t659 () (or @t363 @t347 @t658 @t657)) % 0.35/0.71 (define @t660 () (tptp.in @t4 @t93)) % 0.35/0.71 (define @t661 () (forall @t9 (or (not @t660) @t344))) % 0.35/0.71 (define @t662 () (forall @t9 (or @t345 @t660))) % 0.35/0.71 (define @t663 () (not @t122)) % 0.35/0.71 (define @t664 () (or @t663 @t625 @t662 @t661)) % 0.35/0.71 (define @t665 () (or @t662 @t661)) % 0.35/0.71 (define @t666 () (not @t118)) % 0.35/0.71 (define @t667 () (or @t666 @t107)) % 0.35/0.71 (define @t668 () (or @t624 @t118)) % 0.35/0.71 (define @t669 () (not @t21)) % 0.35/0.71 (define @t670 () (or @t192 @t669 @t369 @t127)) % 0.35/0.71 (define @t671 () (=> @t368 @t127)) % 0.35/0.71 (define @t672 () (or @t663 @t128)) % 0.35/0.71 (define @t673 () (or @t374 @t373)) % 0.35/0.71 (define @t674 () (or @t363 @t673)) % 0.35/0.71 (define @t675 () (forall @t376 @t674)) % 0.35/0.71 (define @t676 () (@list @t372)) % 0.35/0.71 (define @t677 () (forall @t676 @t674)) % 0.35/0.71 (define @t678 () (forall @t676 @t673)) % 0.35/0.71 (define @t679 () (or @t363 @t678)) % 0.35/0.71 (define @t680 () (or @t663 @t351)) % 0.35/0.71 (define @t681 () (=> tptp.wellorderingAx @t612)) % 0.35/0.71 (define @t682 () (@list @t387)) % 0.35/0.71 (define @t683 () (forall @t682 @t389)) % 0.35/0.71 (define @t684 () (forall @t682 @t388)) % 0.35/0.71 (define @t685 () (or @t684 @t386)) % 0.35/0.71 (define @t686 () (not @t37)) % 0.35/0.71 (define @t687 () (or @t686 @t383)) % 0.35/0.71 (define @t688 () (and @t37 @t382)) % 0.35/0.71 (define @t689 () (forall @t39 (not @t688))) % 0.35/0.71 (define @t690 () (not @t689)) % 0.35/0.71 (define @t691 () (or @t506 @t192)) % 0.35/0.71 (define @t692 () (forall @t9 (not @t82))) % 0.35/0.71 (define @t693 () (not @t692)) % 0.35/0.71 (define @t694 () (=> tptp.foundationAx @t681)) % 0.35/0.71 (define @t695 () (= @t6 @t393)) % 0.35/0.71 (define @t696 () (not @t66)) % 0.35/0.71 (define @t697 () (or @t669 @t696)) % 0.35/0.71 (define @t698 () (forall @t68 (not @t67))) % 0.35/0.71 (define @t699 () (not @t698)) % 0.35/0.71 (define @t700 () (or @t192 @t402)) % 0.35/0.71 (define @t701 () (_ @t73 @t396)) % 0.35/0.71 (define @t702 () (not @t701)) % 0.35/0.71 (define @t703 () (or @t702 @t399)) % 0.35/0.71 (define @t704 () (not @t74)) % 0.35/0.71 (define @t705 () (or @t704 @t397)) % 0.35/0.71 (define @t706 () (_ @t75 @t19)) % 0.35/0.71 (define @t707 () (not @t706)) % 0.35/0.71 (define @t708 () (or @t707 @t397)) % 0.35/0.71 (define @t709 () (forall @t68 @t708)) % 0.35/0.71 (define @t710 () (not @t709)) % 0.35/0.71 (define @t711 () (_ @t75 @t396)) % 0.35/0.71 (define @t712 () (not @t711)) % 0.35/0.71 (define @t713 () (or @t712 @t710)) % 0.35/0.71 (define @t714 () (forall @t401 @t713)) % 0.35/0.71 (define @t715 () (not @t714)) % 0.35/0.71 (define @t716 () (not (_ @t141 @t396))) % 0.35/0.71 (define @t717 () (or @t301 (= @t396 @t19))) % 0.35/0.71 (define @t718 () (forall @t68 @t717)) % 0.35/0.71 (define @t719 () (not @t718)) % 0.35/0.71 (define @t720 () (or @t716 @t719)) % 0.35/0.71 (define @t721 () (forall @t401 @t720)) % 0.35/0.71 (define @t722 () (not @t721)) % 0.35/0.71 (define @t723 () (=> @t7 (_ @t541 @t75))) % 0.35/0.71 (define @t724 () (forall @t9 @t723)) % 0.35/0.71 (define @t725 () (=> @t724 @t72)) % 0.35/0.71 (define @t726 () (forall @t79 @t725)) % 0.35/0.71 (define @t727 () (=> tptp.replAx @t694)) % 0.35/0.71 (define @t728 () (or @t408 @t407)) % 0.35/0.71 (define @t729 () (or @t416 @t414 @t728)) % 0.35/0.71 (define @t730 () (forall @t418 @t729)) % 0.35/0.71 (define @t731 () (@list @t406)) % 0.35/0.71 (define @t732 () (forall @t731 @t729)) % 0.35/0.71 (define @t733 () (forall @t731 @t728)) % 0.35/0.71 (define @t734 () (or @t416 @t414 @t733)) % 0.35/0.71 (define @t735 () (forall @t9 (or @t412 @t276))) % 0.35/0.71 (define @t736 () (not @t59)) % 0.35/0.71 (define @t737 () (or @t736 @t414 @t735)) % 0.35/0.71 (define @t738 () (and @t59 @t413)) % 0.35/0.71 (define @t739 () (not @t52)) % 0.35/0.71 (define @t740 () (or @t739 @t7)) % 0.35/0.71 (define @t741 () (_ tptp.in @t409)) % 0.35/0.71 (define @t742 () (or @t739 @t192 @t56)) % 0.35/0.71 (define @t743 () (=> tptp.omegaIndAx @t727)) % 0.35/0.71 (define @t744 () (or @t739 @t51)) % 0.35/0.71 (define @t745 () (=> tptp.omegaSAx @t743)) % 0.35/0.71 (define @t746 () (=> tptp.omega0Ax @t745)) % 0.35/0.71 (define @t747 () (= @t42 @t428)) % 0.35/0.71 (define @t748 () (or @t506 @t686)) % 0.35/0.71 (define @t749 () (forall @t39 (not @t38))) % 0.35/0.71 (define @t750 () (not @t749)) % 0.35/0.71 (define @t751 () (=> tptp.setunionAx @t746)) % 0.35/0.71 (define @t752 () (= @t33 @t292)) % 0.35/0.71 (define @t753 () (=> tptp.powersetAx @t751)) % 0.35/0.71 (define @t754 () (or @t127 @t21)) % 0.35/0.71 (define @t755 () (= @t25 @t754)) % 0.35/0.71 (define @t756 () (=> tptp.setadjoinAx @t753)) % 0.35/0.71 (define @t757 () (=> tptp.emptysetAx @t756)) % 0.35/0.71 (define @t758 () (=> tptp.setextAx @t757)) % 0.35/0.71 (define @t759 () (or @t669 @t25)) % 0.35/0.71 (define @t760 () (@quantifiers_skolemize @t260 1)) % 0.35/0.71 (define @t761 () (@quantifiers_skolemize @t260 0)) % 0.35/0.71 (define @t762 () (@quantifiers_skolemize @t260 2)) % 0.35/0.71 (define @t763 () (tptp.in @t762 (tptp.setadjoin @t761 @t760))) % 0.35/0.71 (define @t764 () (tptp.in @t762 @t760)) % 0.35/0.71 (define @t765 () (not @t764)) % 0.35/0.71 (define @t766 () (or @t765 @t763)) % 0.35/0.71 (define @t767 () (@list true)) % 0.35/0.71 (define @t768 () (@list @t766)) % 0.35/0.71 (define @t769 () (or (= @t761 @t762) @t764)) % 0.35/0.71 (define @t770 () (= @t763 @t769)) % 0.35/0.71 (assume @p1 @t14) % 0.35/0.71 (assume @p2 @t18) % 0.35/0.71 (assume @p3 @t29) % 0.35/0.71 (assume @p4 @t36) % 0.35/0.71 (assume @p5 @t46) % 0.35/0.71 (assume @p6 (= tptp.omega0Ax @t48)) % 0.35/0.71 (assume @p7 @t54) % 0.35/0.71 (assume @p8 @t64) % 0.35/0.71 (assume @p9 @t81) % 0.35/0.71 (assume @p10 @t90) % 0.35/0.71 (assume @p11 @t140) % 0.35/0.71 (assume @p12 @t150) % 0.35/0.71 (assume @p13 @t159) % 0.35/0.71 (assume @p14 @t161) % 0.35/0.71 (assume @p15 @t163) % 0.35/0.71 (assume @p16 @t169) % 0.35/0.71 (assume @p17 @t174) % 0.35/0.71 (assume @p18 @t179) % 0.35/0.71 (assume @p19 @t181) % 0.35/0.71 (assume @p20 (= tptp.notinemptyset @t17)) % 0.35/0.71 (assume @p21 @t185) % 0.35/0.71 (assume @p22 @t190) % 0.35/0.71 (assume @p23 @t196) % 0.35/0.71 (assume @p24 (= tptp.noeltsimpempty @t195)) % 0.35/0.71 (assume @p25 @t199) % 0.35/0.71 (assume @p26 @t203) % 0.35/0.71 (assume @p27 @t207) % 0.35/0.71 (assume @p28 @t210) % 0.35/0.71 (assume @p29 @t214) % 0.35/0.71 (assume @p30 (= tptp.emptyinunitempty @t216)) % 0.35/0.71 (assume @p31 @t248) % 0.35/0.71 (assume @p32 true) % 0.35/0.71 (step @p33 (= tptp.exu @t249) :rule refl :args (@t249)) % 0.35/0.71 (step @p34 (= tptp.prop2set @t254) :rule refl :args (@t254)) % 0.35/0.71 (step @p35 (= tptp.nonempty @t255) :rule refl :args (@t255)) % 0.35/0.71 (step @p36 :rule refl :args (@t260)) % 0.35/0.71 (step @p37 :rule refl :args ((tptp.in tptp.emptyset @t215))) % 0.35/0.71 (step @p38 :rule refl :args (@t261)) % 0.35/0.71 (step @p39 :rule refl :args (tptp.emptyset)) % 0.35/0.71 (step @p40 :rule cong :premises (@p39 @p38) :args (@t262)) % 0.35/0.71 (step @p41 :rule trans :premises (@p40 @p37)) % 0.35/0.71 (step @p42 :rule refl :args (@t47)) % 0.35/0.71 (step @p43 :rule ho_cong :premises (@p42 @p38)) % 0.35/0.71 (step @p44 :rule cong :premises (@p43 @p41) :args ((= (_ @t47 @t261) @t262))) % 0.35/0.71 (step @p45 :rule symm :premises (@p44)) % 0.35/0.71 (step @p46 :rule refl :args (@t216)) % 0.35/0.71 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.35/0.71 (step @p48 :rule refl 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:rule cong :premises (@p64 @p63) :args (@t286)) % 0.35/0.71 (step @p66 :rule refl :args (@t287)) % 0.35/0.71 (step @p67 :rule cong :premises (@p66 @p65) :args (@t288)) % 0.35/0.71 (step @p68 :rule cong :premises (@p66 @p67) :args (@t289)) % 0.35/0.71 (step @p69 :rule refl :args (@t297)) % 0.35/0.71 (step @p70 :rule cong :premises (@p69 @p68) :args (@t298)) % 0.35/0.71 (step @p71 :rule refl :args (@t305)) % 0.35/0.71 (step @p72 :rule cong :premises (@p71 @p70) :args (@t306)) % 0.35/0.71 (step @p73 :rule refl :args (@t308)) % 0.35/0.71 (step @p74 :rule cong :premises (@p73 @p72) :args (@t309)) % 0.35/0.71 (step @p75 :rule cong :premises (@p73 @p74) :args (@t310)) % 0.35/0.71 (step @p76 :rule cong :premises (@p73 @p75) :args (@t311)) % 0.35/0.71 (step @p77 :rule refl :args (@t315)) % 0.35/0.71 (step @p78 :rule cong :premises (@p77 @p76) :args (@t316)) % 0.35/0.71 (step @p79 :rule refl :args (@t318)) % 0.35/0.71 (step @p80 :rule cong :premises (@p79 @p78) :args (@t319)) % 0.35/0.71 (step 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0.35/0.71 (step @p98 :rule refl :args (@t48)) % 0.35/0.71 (step @p99 :rule cong :premises (@p98 @p97) :args ((= @t48 @t424))) % 0.35/0.71 (step @p100 :rule symm :premises (@p99)) % 0.35/0.71 (step @p101 :rule eq_resolve :premises (@p98 @p100)) % 0.35/0.71 (step @p102 :rule cong :premises (@p101 @p96) :args (@t425)) % 0.35/0.71 (step @p103 :rule refl :args (@t429)) % 0.35/0.71 (step @p104 :rule cong :premises (@p103 @p102) :args (@t430)) % 0.35/0.71 (step @p105 :rule refl :args (@t433)) % 0.35/0.71 (step @p106 :rule cong :premises (@p105 @p104) :args (@t434)) % 0.35/0.71 (step @p107 :rule refl :args (@t435)) % 0.35/0.71 (step @p108 :rule cong :premises (@p107 @p106) :args (@t436)) % 0.35/0.71 (step @p109 :rule cong :premises (@p73 @p108) :args (@t437)) % 0.35/0.71 (step @p110 :rule refl :args (@t439)) % 0.35/0.71 (step @p111 :rule cong :premises (@p110 @p109) :args (@t440)) % 0.35/0.71 (step @p112 :rule cong :premises (@p111) :args ((not @t440))) % 0.35/0.71 (step @p113 :rule 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:premises (@p107 @p126) :args (@t453)) % 0.35/0.71 (step @p128 :rule cong :premises (@p73 @p127) :args (@t454)) % 0.35/0.71 (step @p129 :rule cong :premises (@p110 @p128) :args (@t455)) % 0.35/0.71 (step @p130 :rule cong :premises (@p129) :args ((not @t455))) % 0.35/0.71 (step @p131 :rule cong :premises (@p30 @p36) :args (@t456)) % 0.35/0.71 (step @p132 :rule refl :args ((tptp.in @t4 @t211))) % 0.35/0.71 (step @p133 :rule refl :args (@t264)) % 0.35/0.71 (step @p134 :rule refl :args (@t4)) % 0.35/0.71 (step @p135 :rule cong :premises (@p134 @p133) :args (@t265)) % 0.35/0.71 (step @p136 :rule trans :premises (@p135 @p132)) % 0.35/0.71 (step @p137 :rule refl :args (@t5)) % 0.35/0.71 (step @p138 :rule ho_cong :premises (@p137 @p133)) % 0.35/0.71 (step @p139 :rule cong :premises (@p138 @p136) :args ((= (_ @t5 @t264) @t265))) % 0.35/0.71 (step @p140 :rule symm :premises (@p139)) % 0.35/0.71 (step @p141 :rule refl :args (@t212)) % 0.35/0.71 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 0.35/0.71 (step @p143 :rule refl :args (@t211)) % 0.35/0.71 (step @p144 :rule cong :premises (@p143 @p133) :args ((= @t211 @t264))) % 0.35/0.71 (step @p145 :rule symm :premises (@p144)) % 0.35/0.71 (step @p146 :rule eq_resolve :premises (@p143 @p145)) % 0.35/0.71 (step @p147 :rule ho_cong :premises (@p137 @p146)) % 0.35/0.71 (step @p148 :rule trans :premises (@p147 @p142)) % 0.35/0.71 (step @p149 :rule cong :premises (@p148) :args (@t213)) % 0.35/0.71 (step @p150 :rule refl :args (tptp.setadjoinIL)) % 0.35/0.71 (step @p151 :rule cong :premises (@p150 @p149) :args (@t214)) % 0.35/0.71 (step @p152 :rule eq_resolve :premises (@p29 @p151)) % 0.35/0.71 (step @p153 :rule cong :premises (@p152 @p131) :args (@t457)) % 0.35/0.71 (step @p154 :rule aci_norm :args ((= (or @t269 false) @t269))) % 0.35/0.71 (step @p155 :rule evaluate :args ((not true))) % 0.35/0.71 (step @p156 :rule eq-refl :args (tptp.emptyset)) % 0.35/0.71 (step @p157 :rule cong :premises (@p156) :args (@t458)) % 0.35/0.71 (step @p158 :rule trans :premises (@p157 @p155)) % 0.35/0.71 (step @p159 :rule refl :args (@t269)) % 0.35/0.71 (step @p160 :rule nary_cong :premises (@p159 @p158) :args (@t459)) % 0.35/0.71 (step @p161 :rule trans :premises (@p160 @p154)) % 0.35/0.71 (step @p162 :rule cong :premises (@p161) :args ((forall @t270 @t459))) % 0.35/0.71 (step @p163 :rule quant-var-elim-eq :args ((= (forall @t62 @t462) @t459))) % 0.35/0.71 (step @p164 :rule aci_norm :args ((= @t463 @t462))) % 0.35/0.71 (step @p165 :rule cong :premises (@p164) :args (@t464)) % 0.35/0.71 (step @p166 :rule trans :premises (@p165 @p163)) % 0.35/0.71 (step @p167 :rule cong :premises (@p166) :args (@t465)) % 0.35/0.71 (step @p168 :rule quant-merge-prenex :args ((= @t465 @t466))) % 0.35/0.71 (step @p169 :rule symm :premises (@p168)) % 0.35/0.71 (step @p170 :rule quant_var_reordering :args ((= @t467 @t466))) % 0.35/0.71 (step @p171 :rule trans :premises (@p170 @p169 @p167)) % 0.35/0.71 (step @p172 :rule trans :premises (@p171 @p162)) % 0.35/0.71 (step @p173 :rule quant-merge-prenex :args ((= (forall @t62 @t468) @t467))) % 0.35/0.71 (step @p174 :rule refl :args (@t460)) % 0.35/0.71 (step @p175 :rule alpha_equiv :args (@t469 (@list @t268) @t470)) % 0.35/0.71 (step @p176 :rule nary_cong :premises (@p175 @p174) :args (@t471)) % 0.35/0.71 (step @p177 :rule quant-miniscope-or :args ((= @t468 @t471))) % 0.35/0.71 (step @p178 :rule trans :premises (@p177 @p176)) % 0.35/0.71 (step @p179 :rule symm :premises (@p178)) % 0.35/0.71 (step @p180 :rule cong :premises (@p179) :args ((forall @t62 (or @t280 @t460)))) % 0.35/0.71 (step @p181 :rule trans :premises (@p180 @p173)) % 0.35/0.71 (step @p182 :rule trans :premises (@p181 @p172)) % 0.35/0.71 (step @p183 :rule bool-double-not-elim :args (@t280)) % 0.35/0.71 (step @p184 :rule nary_cong :premises (@p183 @p174) :args ((or @t472 @t460))) % 0.35/0.71 (step @p185 :rule bool-impl-elim :args (@t281 @t460)) % 0.35/0.71 (step @p186 :rule trans :premises (@p185 @p184)) % 0.35/0.71 (step @p187 :rule cong :premises (@p186) :args ((forall @t62 (=> @t281 @t460)))) % 0.35/0.71 (step @p188 :rule trans :premises (@p187 @p182)) % 0.35/0.71 (step @p189 :rule beta-reduce :args ((= @t473 @t460))) % 0.35/0.71 (step @p190 :rule refl :args (@t276)) % 0.35/0.71 (step @p191 :rule refl :args (@t7)) % 0.35/0.71 (step @p192 :rule cong :premises (@p191 @p190) :args ((= @t7 @t276))) % 0.35/0.71 (step @p193 :rule symm :premises (@p192)) % 0.35/0.71 (step @p194 :rule eq_resolve :premises (@p191 @p193)) % 0.35/0.71 (step @p195 :rule cong :premises (@p194) :args (@t192)) % 0.35/0.71 (step @p196 :rule cong :premises (@p195) :args (@t193)) % 0.35/0.71 (step @p197 :rule cong :premises (@p196) :args (@t474)) % 0.35/0.71 (step @p198 :rule exists-elim :args ((= @t87 @t474))) % 0.35/0.71 (step @p199 :rule trans :premises (@p198 @p197)) % 0.35/0.71 (step @p200 :rule cong :premises (@p199 @p189) :args (@t475)) % 0.35/0.71 (step @p201 :rule cong :premises (@p200) :args (@t476)) % 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(step @p217 :rule cong :premises (@p216 @p215) :args (@t480)) % 0.35/0.71 (step @p218 :rule cong :premises (@p217) :args (@t481)) % 0.35/0.71 (step @p219 :rule refl :args (@t275)) % 0.35/0.71 (step @p220 :rule refl :args (@t277)) % 0.35/0.71 (step @p221 :rule nary_cong :premises (@p220 @p219 @p218) :args (@t482)) % 0.35/0.71 (step @p222 :rule cong :premises (@p221) :args ((forall @t157 @t482))) % 0.35/0.71 (step @p223 :rule refl :args ((tptp.dsetconstr @t2 @t152))) % 0.35/0.71 (step @p224 :rule refl :args (@t300)) % 0.35/0.71 (step @p225 :rule cong :premises (@p224) :args (@t478)) % 0.35/0.71 (step @p226 :rule refl :args (@t2)) % 0.35/0.71 (step @p227 :rule cong :premises (@p226 @p225) :args (@t479)) % 0.35/0.71 (step @p228 :rule trans :premises (@p227 @p223)) % 0.35/0.71 (step @p229 :rule refl :args (@t153)) % 0.35/0.71 (step @p230 :rule ho_cong :premises (@p229 @p225)) % 0.35/0.71 (step @p231 :rule cong :premises (@p230 @p228) :args ((= (_ @t153 @t478) @t479))) % 0.35/0.71 (step @p232 :rule symm :premises (@p231)) % 0.35/0.71 (step @p233 :rule refl :args (@t154)) % 0.35/0.71 (step @p234 :rule eq_resolve :premises (@p233 @p232)) % 0.35/0.71 (step @p235 :rule refl :args (@t151)) % 0.35/0.71 (step @p236 :rule cong :premises (@p235 @p224) :args ((= @t151 @t300))) % 0.35/0.71 (step @p237 :rule symm :premises (@p236)) % 0.35/0.71 (step @p238 :rule eq_resolve :premises (@p235 @p237)) % 0.35/0.72 (step @p239 :rule cong :premises (@p238) :args (@t152)) % 0.35/0.72 (step @p240 :rule ho_cong :premises (@p229 @p239)) % 0.35/0.72 (step @p241 :rule trans :premises (@p240 @p234)) % 0.35/0.72 (step @p242 :rule cong :premises (@p39 @p241) :args (@t483)) % 0.35/0.72 (step @p243 :rule cong :premises (@p242) :args (@t484)) % 0.35/0.72 (step @p244 :rule refl :args (@t274)) % 0.35/0.72 (step @p245 :rule refl :args (@t142)) % 0.35/0.72 (step @p246 :rule cong :premises (@p245 @p244) :args ((= @t142 @t274))) % 0.35/0.72 (step @p247 :rule symm :premises (@p246)) % 0.35/0.72 (step @p248 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(step @p1398 :rule cong :premises (@p1001 @p1397) :args (@t237)) % 0.35/0.72 (step @p1399 :rule cong :premises (@p1052 @p1398) :args (@t238)) % 0.35/0.72 (step @p1400 :rule cong :premises (@p1145 @p1399) :args (@t239)) % 0.35/0.72 (step @p1401 :rule cong :premises (@p1232 @p1400) :args (@t240)) % 0.35/0.72 (step @p1402 :rule cong :premises (@p1252 @p1401) :args (@t241)) % 0.35/0.72 (step @p1403 :rule refl :args (tptp.omega0Ax)) % 0.35/0.72 (step @p1404 :rule cong :premises (@p1403 @p1402) :args (@t242)) % 0.35/0.72 (step @p1405 :rule cong :premises (@p1290 @p1404) :args (@t243)) % 0.35/0.72 (step @p1406 :rule cong :premises (@p1321 @p1405) :args (@t244)) % 0.35/0.72 (step @p1407 :rule cong :premises (@p1352 @p1406) :args (@t245)) % 0.35/0.72 (step @p1408 :rule cong :premises (@p1356 @p1407) :args (@t246)) % 0.35/0.72 (step @p1409 :rule cong :premises (@p1367 @p1408) :args (@t247)) % 0.35/0.72 (step @p1410 :rule cong :premises (@p1409) :args (@t248)) % 0.35/0.72 (step @p1411 :rule trans :premises (@p1410 @p1372 @p112)) % 0.35/0.72 (step @p1412 :rule eq_resolve :premises (@p31 @p1411)) % 0.35/0.72 (step @p1413 :rule not_implies_elim2 :premises (@p1412)) % 0.35/0.72 (step @p1414 :rule not_implies_elim2 :premises (@p1413)) % 0.35/0.72 (step @p1415 :rule not_implies_elim2 :premises (@p1414)) % 0.35/0.72 (step @p1416 :rule not_implies_elim2 :premises (@p1415)) % 0.35/0.72 (step @p1417 :rule not_implies_elim2 :premises (@p1416)) % 0.35/0.72 (step @p1418 :rule not_implies_elim2 :premises (@p1417)) % 0.35/0.72 (step @p1419 :rule not_implies_elim2 :premises (@p1418)) % 0.35/0.72 (step @p1420 :rule not_implies_elim2 :premises (@p1419)) % 0.35/0.72 (step @p1421 :rule not_implies_elim2 :premises (@p1420)) % 0.35/0.72 (step @p1422 :rule not_implies_elim2 :premises (@p1421)) % 0.35/0.72 (step @p1423 :rule not_implies_elim2 :premises (@p1422)) % 0.35/0.72 (step @p1424 :rule not_implies_elim2 :premises (@p1423)) % 0.35/0.72 (step @p1425 :rule not_implies_elim2 :premises (@p1424)) % 0.35/0.72 (step @p1426 :rule not_implies_elim2 :premises (@p1425)) % 0.35/0.72 (step @p1427 :rule not_implies_elim2 :premises (@p1426)) % 0.35/0.72 (step @p1428 :rule not_implies_elim2 :premises (@p1427)) % 0.35/0.72 (step @p1429 :rule not_implies_elim2 :premises (@p1428)) % 0.35/0.72 (step @p1430 :rule not_implies_elim2 :premises (@p1429)) % 0.35/0.72 (step @p1431 :rule not_implies_elim2 :premises (@p1430)) % 0.35/0.72 (step @p1432 :rule not_implies_elim2 :premises (@p1431)) % 0.35/0.72 (step @p1433 :rule not_implies_elim2 :premises (@p1432)) % 0.35/0.72 (step @p1434 :rule not_implies_elim2 :premises (@p1433)) % 0.35/0.72 (step @p1435 :rule not_implies_elim2 :premises (@p1434)) % 0.35/0.72 (step @p1436 :rule not_implies_elim2 :premises (@p1435)) % 0.35/0.72 (step @p1437 :rule not_implies_elim2 :premises (@p1436)) % 0.35/0.72 (step @p1438 :rule not_implies_elim2 :premises (@p1437)) % 0.35/0.72 (step @p1439 :rule not_implies_elim2 :premises (@p1438)) % 0.35/0.72 (step @p1440 :rule not_implies_elim2 :premises (@p1439)) % 0.35/0.72 (step @p1441 :rule not_implies_elim2 :premises (@p1440)) % 0.35/0.72 (step @p1442 :rule skolemize :premises (@p1441)) % 0.35/0.72 (step @p1443 :rule cnf_or_neg :args (@t766 1)) % 0.35/0.72 (step @p1444 :rule chain_m_resolution :premises (@p1443 @p1442) :args ((not @t763) @t767 @t768)) % 0.35/0.72 (step @p1445 :rule bool-double-not-elim :args (@t764)) % 0.35/0.72 (step @p1446 :rule refl :args (@t766)) % 0.35/0.72 (step @p1447 :rule nary_cong :premises (@p1446 @p1445) :args ((or @t766 (not @t765)))) % 0.35/0.72 (step @p1448 :rule cnf_or_neg :args (@t766 0)) % 0.35/0.72 (step @p1449 :rule eq_resolve :premises (@p1448 @p1447)) % 0.35/0.72 (step @p1450 :rule reordering :premises (@p1449) :args ((or @t764 @t766))) % 0.35/0.72 (step @p1451 :rule chain_m_resolution :premises (@p1450 @p1442) :args (@t764 @t767 @t768)) % 0.35/0.72 (step @p1452 :rule cnf_or_neg :args (@t769 1)) % 0.35/0.72 (step @p1453 :rule reordering :premises (@p1452) :args ((or @t765 @t769))) % 0.35/0.72 (step @p1454 :rule chain_m_resolution :premises (@p1453 @p1451) :args (@t769 (@list false) (@list @t764))) % 0.35/0.72 (step @p1455 :rule not_implies_elim1 :premises (@p1414)) % 0.35/0.72 (step @p1456 :rule instantiate :premises (@p1455) :args ((@list @t761 @t760 @t762))) % 0.35/0.72 (step @p1457 :rule cnf_equiv_pos2 :args (@t770)) % 0.35/0.72 (step @p1458 :rule reordering :premises (@p1457) :args ((or @t763 (not @t769) (not @t770)))) % 0.35/0.72 (step @p1459 false :rule chain_m_resolution :premises (@p1458 @p1456 @p1454 @p1444) :args (false (@list false false true) (@list @t770 @t769 @t763))) % 0.35/0.72 ) % 0.35/0.72 % SZS output end Proof % 0.35/0.72 % cvc5 exiting %------------------------------------------------------------------------------