%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU513^1 : 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 : n028.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 0.36s 0.70s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SEU513^1 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n028.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 17:40:05 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.52 %----Proving TH0 % 0.36/0.70 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.70 % SZS status Theorem % 0.36/0.70 % SZS output start Proof % 0.36/0.70 ( % 0.36/0.70 (declare-sort $$unsorted 0) % 0.36/0.70 (declare-const tptp.emptyset $$unsorted) % 0.36/0.70 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.36/0.70 (declare-const tptp.nonemptyI1 Bool) % 0.36/0.70 (declare-const tptp.nonemptyI Bool) % 0.36/0.70 (declare-const tptp.nonemptyE1 Bool) % 0.36/0.70 (declare-const tptp.noeltsimpempty Bool) % 0.36/0.70 (declare-const tptp.emptyI Bool) % 0.36/0.70 (declare-const tptp.omegaIndAx Bool) % 0.36/0.70 (declare-const tptp.omega0Ax Bool) % 0.36/0.70 (declare-const tptp.setadjoinIL Bool) % 0.36/0.70 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.powersetAx Bool) % 0.36/0.70 (declare-const tptp.omegaSAx Bool) % 0.36/0.70 (declare-const tptp.setext Bool) % 0.36/0.70 (declare-const tptp.setadjoinAx Bool) % 0.36/0.70 (declare-const tptp.setbeta Bool) % 0.36/0.70 (declare-const tptp.dsetconstrER Bool) % 0.36/0.70 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.notinemptyset Bool) % 0.36/0.70 (declare-const tptp.foundationAx Bool) % 0.36/0.70 (declare-const tptp.setextAx Bool) % 0.36/0.70 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.emptysetAx Bool) % 0.36/0.70 (declare-const tptp.dsetconstrEL Bool) % 0.36/0.70 (declare-const tptp.replAx Bool) % 0.36/0.70 (declare-const tptp.emptysetimpfalse Bool) % 0.36/0.70 (declare-const tptp.wellorderingAx Bool) % 0.36/0.70 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.36/0.70 (declare-const tptp.exuE1 Bool) % 0.36/0.70 (declare-const tptp.descrp Bool) % 0.36/0.70 (declare-const tptp.dsetconstrI Bool) % 0.36/0.70 (declare-const tptp.omega $$unsorted) % 0.36/0.70 (declare-const tptp.exuE3e Bool) % 0.36/0.70 (declare-const tptp.prop2setE Bool) % 0.36/0.70 (declare-const tptp.setunionAx Bool) % 0.36/0.70 (declare-const tptp.emptysetE Bool) % 0.36/0.70 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.36/0.70 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.36/0.70 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.36/0.70 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.70 (define @t2 () (@var "A" $$unsorted)) % 0.36/0.70 (define @t3 () (= @t2 @t1)) % 0.36/0.70 (define @t4 () (@var "Xx" $$unsorted)) % 0.36/0.70 (define @t5 () (_ tptp.in @t4)) % 0.36/0.70 (define @t6 () (_ @t5 @t1)) % 0.36/0.70 (define @t7 () (_ @t5 @t2)) % 0.36/0.70 (define @t8 () (= @t7 @t6)) % 0.36/0.70 (define @t9 () (@list @t4)) % 0.36/0.70 (define @t10 () (forall @t9 @t8)) % 0.36/0.70 (define @t11 () (=> @t10 @t3)) % 0.36/0.70 (define @t12 () (@list @t2 @t1)) % 0.36/0.70 (define @t13 () (forall @t12 @t11)) % 0.36/0.70 (define @t14 () (= tptp.setextAx @t13)) % 0.36/0.70 (define @t15 () (_ @t5 tptp.emptyset)) % 0.36/0.70 (define @t16 () (not @t15)) % 0.36/0.70 (define @t17 () (forall @t9 @t16)) % 0.36/0.70 (define @t18 () (= tptp.emptysetAx @t17)) % 0.36/0.70 (define @t19 () (@var "Xy" $$unsorted)) % 0.36/0.70 (define @t20 () (_ tptp.in @t19)) % 0.36/0.70 (define @t21 () (_ @t20 @t2)) % 0.36/0.70 (define @t22 () (or (= @t19 @t4) @t21)) % 0.36/0.70 (define @t23 () (_ tptp.setadjoin @t4)) % 0.36/0.70 (define @t24 () (_ @t23 @t2)) % 0.36/0.70 (define @t25 () (_ @t20 @t24)) % 0.36/0.70 (define @t26 () (= @t25 @t22)) % 0.36/0.70 (define @t27 () (@list @t4 @t2 @t19)) % 0.36/0.70 (define @t28 () (forall @t27 @t26)) % 0.36/0.70 (define @t29 () (= tptp.setadjoinAx @t28)) % 0.36/0.70 (define @t30 () (forall @t9 (=> @t6 @t7))) % 0.36/0.70 (define @t31 () (_ tptp.powerset @t2)) % 0.36/0.70 (define @t32 () (_ tptp.in @t1)) % 0.36/0.70 (define @t33 () (_ @t32 @t31)) % 0.36/0.70 (define @t34 () (= @t33 @t30)) % 0.36/0.70 (define @t35 () (forall @t12 @t34)) % 0.36/0.70 (define @t36 () (= tptp.powersetAx @t35)) % 0.36/0.70 (define @t37 () (_ @t32 @t2)) % 0.36/0.70 (define @t38 () (and @t6 @t37)) % 0.36/0.70 (define @t39 () (@list @t1)) % 0.36/0.70 (define @t40 () (exists @t39 @t38)) % 0.36/0.70 (define @t41 () (_ tptp.setunion @t2)) % 0.36/0.70 (define @t42 () (_ @t5 @t41)) % 0.36/0.70 (define @t43 () (= @t42 @t40)) % 0.36/0.70 (define @t44 () (@list @t2 @t4)) % 0.36/0.70 (define @t45 () (forall @t44 @t43)) % 0.36/0.70 (define @t46 () (= tptp.setunionAx @t45)) % 0.36/0.70 (define @t47 () (_ tptp.in tptp.emptyset)) % 0.36/0.70 (define @t48 () (_ @t47 tptp.omega)) % 0.36/0.70 (define @t49 () (_ @t23 @t4)) % 0.36/0.70 (define @t50 () (_ tptp.in @t49)) % 0.36/0.70 (define @t51 () (_ @t50 tptp.omega)) % 0.36/0.70 (define @t52 () (_ @t5 tptp.omega)) % 0.36/0.70 (define @t53 () (forall @t9 (=> @t52 @t51))) % 0.36/0.70 (define @t54 () (= tptp.omegaSAx @t53)) % 0.36/0.70 (define @t55 () (forall @t9 (=> @t52 @t7))) % 0.36/0.70 (define @t56 () (_ @t50 @t2)) % 0.36/0.70 (define @t57 () (and @t52 @t7)) % 0.36/0.70 (define @t58 () (forall @t9 (=> @t57 @t56))) % 0.36/0.70 (define @t59 () (_ @t47 @t2)) % 0.36/0.70 (define @t60 () (and @t59 @t58)) % 0.36/0.70 (define @t61 () (=> @t60 @t55)) % 0.36/0.70 (define @t62 () (@list @t2)) % 0.36/0.70 (define @t63 () (forall @t62 @t61)) % 0.36/0.70 (define @t64 () (= tptp.omegaIndAx @t63)) % 0.36/0.70 (define @t65 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.36/0.70 (define @t66 () (_ (_ @t65 @t19) @t4)) % 0.36/0.70 (define @t67 () (and @t21 @t66)) % 0.36/0.70 (define @t68 () (@list @t19)) % 0.36/0.70 (define @t69 () (exists @t68 @t67)) % 0.36/0.70 (define @t70 () (= @t6 @t69)) % 0.36/0.70 (define @t71 () (forall @t9 @t70)) % 0.36/0.70 (define @t72 () (exists @t39 @t71)) % 0.36/0.70 (define @t73 () (_ @t65 @t4)) % 0.36/0.70 (define @t74 () (_ @t73 @t19)) % 0.36/0.70 (define @t75 () (lambda @t68 @t74)) % 0.36/0.70 (define @t76 () (=> @t7 (_ tptp.exu @t75))) % 0.36/0.70 (define @t77 () (forall @t9 @t76)) % 0.36/0.70 (define @t78 () (=> @t77 @t72)) % 0.36/0.70 (define @t79 () (@list @t65 @t2)) % 0.36/0.70 (define @t80 () (forall @t79 @t78)) % 0.36/0.70 (define @t81 () (= tptp.replAx @t80)) % 0.36/0.70 (define @t82 () (and @t6 @t7)) % 0.36/0.70 (define @t83 () (exists @t9 @t82)) % 0.36/0.70 (define @t84 () (not @t83)) % 0.36/0.70 (define @t85 () (and @t37 @t84)) % 0.36/0.70 (define @t86 () (exists @t39 @t85)) % 0.36/0.70 (define @t87 () (exists @t9 @t7)) % 0.36/0.70 (define @t88 () (=> @t87 @t86)) % 0.36/0.70 (define @t89 () (forall @t62 @t88)) % 0.36/0.70 (define @t90 () (= tptp.foundationAx @t89)) % 0.36/0.70 (define @t91 () (@var "E" $$unsorted)) % 0.36/0.70 (define @t92 () (_ @t5 @t91)) % 0.36/0.70 (define @t93 () (@var "D" $$unsorted)) % 0.36/0.70 (define @t94 () (_ @t20 @t93)) % 0.36/0.70 (define @t95 () (_ @t20 @t91)) % 0.36/0.70 (define @t96 () (forall @t68 (=> @t95 @t94))) % 0.36/0.70 (define @t97 () (or @t96 @t92)) % 0.36/0.70 (define @t98 () (_ (_ tptp.in @t91) @t1)) % 0.36/0.70 (define @t99 () (=> @t98 @t97)) % 0.36/0.70 (define @t100 () (@list @t91)) % 0.36/0.70 (define @t101 () (forall @t100 @t99)) % 0.36/0.70 (define @t102 () (@var "C" $$unsorted)) % 0.36/0.70 (define @t103 () (_ @t20 @t102)) % 0.36/0.70 (define @t104 () (and @t94 @t103)) % 0.36/0.70 (define @t105 () (exists @t68 @t104)) % 0.36/0.70 (define @t106 () (not @t105)) % 0.36/0.70 (define @t107 () (_ @t5 @t102)) % 0.36/0.70 (define @t108 () (_ (_ tptp.in @t93) @t1)) % 0.36/0.70 (define @t109 () (and @t108 @t107 @t106 @t101)) % 0.36/0.70 (define @t110 () (@list @t93 @t4)) % 0.36/0.70 (define @t111 () (exists @t110 @t109)) % 0.36/0.70 (define @t112 () (exists @t9 @t107)) % 0.36/0.70 (define @t113 () (forall @t9 (=> @t107 @t7))) % 0.36/0.70 (define @t114 () (and @t113 @t112)) % 0.36/0.70 (define @t115 () (=> @t114 @t111)) % 0.36/0.70 (define @t116 () (@list @t102)) % 0.36/0.70 (define @t117 () (forall @t116 @t115)) % 0.36/0.70 (define @t118 () (_ @t5 @t93)) % 0.36/0.70 (define @t119 () (forall @t9 (=> @t118 @t107))) % 0.36/0.70 (define @t120 () (forall @t9 (=> @t107 @t118))) % 0.36/0.70 (define @t121 () (or @t120 @t119)) % 0.36/0.70 (define @t122 () (_ (_ tptp.in @t102) @t1)) % 0.36/0.70 (define @t123 () (and @t122 @t108)) % 0.36/0.70 (define @t124 () (=> @t123 @t121)) % 0.36/0.70 (define @t125 () (@list @t102 @t93)) % 0.36/0.70 (define @t126 () (forall @t125 @t124)) % 0.36/0.70 (define @t127 () (= @t4 @t19)) % 0.36/0.70 (define @t128 () (= @t107 @t103)) % 0.36/0.70 (define @t129 () (forall @t116 (=> @t122 @t128))) % 0.36/0.70 (define @t130 () (=> @t129 @t127)) % 0.36/0.70 (define @t131 () (and @t7 @t21)) % 0.36/0.70 (define @t132 () (=> @t131 @t130)) % 0.36/0.70 (define @t133 () (@list @t4 @t19)) % 0.36/0.70 (define @t134 () (forall @t133 @t132)) % 0.36/0.70 (define @t135 () (=> @t122 @t113)) % 0.36/0.70 (define @t136 () (forall @t116 @t135)) % 0.36/0.70 (define @t137 () (and @t136 @t134 @t126 @t117)) % 0.36/0.70 (define @t138 () (exists @t39 @t137)) % 0.36/0.70 (define @t139 () (forall @t62 @t138)) % 0.36/0.70 (define @t140 () (= tptp.wellorderingAx @t139)) % 0.36/0.70 (define @t141 () (@var "Xphi" (-> $$unsorted Bool))) % 0.36/0.70 (define @t142 () (_ @t141 @t4)) % 0.36/0.70 (define @t143 () (lambda @t9 @t142)) % 0.36/0.70 (define @t144 () (_ tptp.descr @t143)) % 0.36/0.70 (define @t145 () (_ @t141 @t144)) % 0.36/0.70 (define @t146 () (_ tptp.exu @t143)) % 0.36/0.70 (define @t147 () (=> @t146 @t145)) % 0.36/0.70 (define @t148 () (@list @t141)) % 0.36/0.70 (define @t149 () (forall @t148 @t147)) % 0.36/0.70 (define @t150 () (= tptp.descrp @t149)) % 0.36/0.70 (define @t151 () (_ @t141 @t19)) % 0.36/0.70 (define @t152 () (lambda @t68 @t151)) % 0.36/0.70 (define @t153 () (_ tptp.dsetconstr @t2)) % 0.36/0.70 (define @t154 () (_ @t153 @t152)) % 0.36/0.70 (define @t155 () (_ @t5 @t154)) % 0.36/0.70 (define @t156 () (=> @t142 @t155)) % 0.36/0.70 (define @t157 () (@list @t2 @t141 @t4)) % 0.36/0.70 (define @t158 () (forall @t157 (=> @t7 @t156))) % 0.36/0.70 (define @t159 () (= tptp.dsetconstrI @t158)) % 0.36/0.70 (define @t160 () (forall @t157 (=> @t155 @t7))) % 0.36/0.70 (define @t161 () (= tptp.dsetconstrEL @t160)) % 0.36/0.70 (define @t162 () (forall @t157 (=> @t155 @t142))) % 0.36/0.70 (define @t163 () (= tptp.dsetconstrER @t162)) % 0.36/0.70 (define @t164 () (forall @t68 (=> @t151 @t127))) % 0.36/0.70 (define @t165 () (and @t142 @t164)) % 0.36/0.70 (define @t166 () (exists @t9 @t165)) % 0.36/0.70 (define @t167 () (=> @t146 @t166)) % 0.36/0.70 (define @t168 () (forall @t148 @t167)) % 0.36/0.70 (define @t169 () (= tptp.exuE1 @t168)) % 0.36/0.70 (define @t170 () (@var "Xphi" Bool)) % 0.36/0.70 (define @t171 () (=> (_ @t5 (_ tptp.prop2set @t170)) @t170)) % 0.36/0.70 (define @t172 () (@list @t170 @t4)) % 0.36/0.70 (define @t173 () (forall @t172 @t171)) % 0.36/0.70 (define @t174 () (= tptp.prop2setE @t173)) % 0.36/0.70 (define @t175 () (@list @t170)) % 0.36/0.70 (define @t176 () (forall @t175 @t170)) % 0.36/0.70 (define @t177 () (=> @t15 @t176)) % 0.36/0.70 (define @t178 () (forall @t9 @t177)) % 0.36/0.70 (define @t179 () (= tptp.emptysetE @t178)) % 0.36/0.70 (define @t180 () (forall @t9 (=> @t15 false))) % 0.36/0.70 (define @t181 () (= tptp.emptysetimpfalse @t180)) % 0.36/0.70 (define @t182 () (exists @t9 @t142)) % 0.36/0.70 (define @t183 () (=> @t146 @t182)) % 0.36/0.70 (define @t184 () (forall @t148 @t183)) % 0.36/0.70 (define @t185 () (= tptp.exuE3e @t184)) % 0.36/0.70 (define @t186 () (=> @t30 @t3)) % 0.36/0.70 (define @t187 () (forall @t9 (=> @t7 @t6))) % 0.36/0.70 (define @t188 () (=> @t187 @t186)) % 0.36/0.70 (define @t189 () (forall @t12 @t188)) % 0.36/0.70 (define @t190 () (= tptp.setext @t189)) % 0.36/0.70 (define @t191 () (= @t2 tptp.emptyset)) % 0.36/0.70 (define @t192 () (not @t7)) % 0.36/0.70 (define @t193 () (forall @t9 @t192)) % 0.36/0.70 (define @t194 () (=> @t193 @t191)) % 0.36/0.70 (define @t195 () (forall @t62 @t194)) % 0.36/0.70 (define @t196 () (= tptp.emptyI @t195)) % 0.36/0.70 (define @t197 () (=> @t7 (= @t155 @t142))) % 0.36/0.70 (define @t198 () (forall @t157 @t197)) % 0.36/0.70 (define @t199 () (= tptp.setbeta @t198)) % 0.36/0.70 (define @t200 () (_ tptp.nonempty @t2)) % 0.36/0.70 (define @t201 () (=> @t200 @t87)) % 0.36/0.70 (define @t202 () (forall @t62 @t201)) % 0.36/0.70 (define @t203 () (= tptp.nonemptyE1 @t202)) % 0.36/0.70 (define @t204 () (=> @t142 (_ tptp.nonempty @t154))) % 0.36/0.70 (define @t205 () (=> @t7 @t204)) % 0.36/0.70 (define @t206 () (forall @t157 @t205)) % 0.36/0.70 (define @t207 () (= tptp.nonemptyI @t206)) % 0.36/0.70 (define @t208 () (=> @t87 @t200)) % 0.36/0.70 (define @t209 () (forall @t62 @t208)) % 0.36/0.70 (define @t210 () (= tptp.nonemptyI1 @t209)) % 0.36/0.70 (define @t211 () (_ @t23 @t19)) % 0.36/0.70 (define @t212 () (_ @t5 @t211)) % 0.36/0.70 (define @t213 () (forall @t133 @t212)) % 0.36/0.70 (define @t214 () (= tptp.setadjoinIL @t213)) % 0.36/0.70 (define @t215 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.36/0.70 (define @t216 () (_ @t47 @t215)) % 0.36/0.70 (define @t217 () (=> tptp.setadjoinIL @t216)) % 0.36/0.70 (define @t218 () (=> tptp.nonemptyI1 @t217)) % 0.36/0.70 (define @t219 () (=> tptp.nonemptyI @t218)) % 0.36/0.70 (define @t220 () (=> tptp.nonemptyE1 @t219)) % 0.36/0.70 (define @t221 () (=> tptp.setbeta @t220)) % 0.36/0.70 (define @t222 () (=> tptp.noeltsimpempty @t221)) % 0.36/0.70 (define @t223 () (=> tptp.emptyI @t222)) % 0.36/0.70 (define @t224 () (=> tptp.setext @t223)) % 0.36/0.70 (define @t225 () (=> tptp.exuE3e @t224)) % 0.36/0.70 (define @t226 () (=> tptp.notinemptyset @t225)) % 0.36/0.70 (define @t227 () (=> tptp.emptysetimpfalse @t226)) % 0.36/0.70 (define @t228 () (=> tptp.emptysetE @t227)) % 0.36/0.70 (define @t229 () (=> tptp.prop2setE @t228)) % 0.36/0.70 (define @t230 () (=> tptp.exuE1 @t229)) % 0.36/0.70 (define @t231 () (=> tptp.dsetconstrER @t230)) % 0.36/0.70 (define @t232 () (=> tptp.dsetconstrEL @t231)) % 0.36/0.70 (define @t233 () (=> tptp.dsetconstrI @t232)) % 0.36/0.70 (define @t234 () (=> tptp.descrp @t233)) % 0.36/0.70 (define @t235 () (=> tptp.wellorderingAx @t234)) % 0.36/0.70 (define @t236 () (=> tptp.foundationAx @t235)) % 0.36/0.70 (define @t237 () (=> tptp.replAx @t236)) % 0.36/0.70 (define @t238 () (=> tptp.omegaIndAx @t237)) % 0.36/0.70 (define @t239 () (=> tptp.omegaSAx @t238)) % 0.36/0.70 (define @t240 () (=> tptp.omega0Ax @t239)) % 0.36/0.70 (define @t241 () (=> tptp.setunionAx @t240)) % 0.36/0.70 (define @t242 () (=> tptp.powersetAx @t241)) % 0.36/0.70 (define @t243 () (=> tptp.setadjoinAx @t242)) % 0.36/0.70 (define @t244 () (=> tptp.emptysetAx @t243)) % 0.36/0.70 (define @t245 () (=> tptp.setextAx @t244)) % 0.36/0.70 (define @t246 () (not @t245)) % 0.36/0.70 (define @t247 () (lambda @t148 @t166)) % 0.36/0.70 (define @t248 () (lambda @t9 @t170)) % 0.36/0.70 (define @t249 () (_ tptp.powerset tptp.emptyset)) % 0.36/0.70 (define @t250 () (_ tptp.dsetconstr @t249)) % 0.36/0.70 (define @t251 () (_ @t250 @t248)) % 0.36/0.70 (define @t252 () (lambda @t175 @t251)) % 0.36/0.70 (define @t253 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.36/0.70 (define @t254 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.36/0.70 (define @t255 () (tptp.in tptp.emptyset @t254)) % 0.36/0.70 (define @t256 () (tptp.setadjoin @t4 @t19)) % 0.36/0.70 (define @t257 () (tptp.in @t4 @t256)) % 0.36/0.70 (define @t258 () (forall @t133 @t257)) % 0.36/0.70 (define @t259 () (=> @t258 @t216)) % 0.36/0.70 (define @t260 () (@var "BOUND_VARIABLE_8452" $$unsorted)) % 0.36/0.70 (define @t261 () (not (tptp.in @t260 tptp.emptyset))) % 0.36/0.70 (define @t262 () (@list @t260)) % 0.36/0.70 (define @t263 () (forall @t262 @t261)) % 0.36/0.70 (define @t264 () (=> @t263 @t259)) % 0.36/0.70 (define @t265 () (tptp.dsetconstr @t2 @t141)) % 0.36/0.70 (define @t266 () (_ @t141 @t4)) % 0.36/0.70 (define @t267 () (not @t266)) % 0.36/0.70 (define @t268 () (tptp.in @t4 @t2)) % 0.36/0.70 (define @t269 () (not @t268)) % 0.36/0.70 (define @t270 () (forall @t157 (or @t269 @t267 (not (= tptp.emptyset @t265))))) % 0.36/0.70 (define @t271 () (=> @t270 @t264)) % 0.36/0.70 (define @t272 () (forall @t9 @t269)) % 0.36/0.70 (define @t273 () (not @t272)) % 0.36/0.70 (define @t274 () (forall @t62 (or @t191 @t273))) % 0.36/0.70 (define @t275 () (=> @t274 @t271)) % 0.36/0.70 (define @t276 () (tptp.in @t4 @t265)) % 0.36/0.70 (define @t277 () (forall @t157 (or @t269 (= @t266 @t276)))) % 0.36/0.70 (define @t278 () (=> @t277 @t275)) % 0.36/0.70 (define @t279 () (forall @t62 (or @t273 @t191))) % 0.36/0.70 (define @t280 () (=> @t279 @t278)) % 0.36/0.70 (define @t281 () (=> @t279 @t280)) % 0.36/0.70 (define @t282 () (tptp.in @t4 @t1)) % 0.36/0.70 (define @t283 () (not @t282)) % 0.36/0.70 (define @t284 () (forall @t9 (or @t283 @t268))) % 0.36/0.70 (define @t285 () (not @t284)) % 0.36/0.70 (define @t286 () (forall @t9 (or @t269 @t282))) % 0.36/0.70 (define @t287 () (not @t286)) % 0.36/0.70 (define @t288 () (or @t287 @t285 @t3)) % 0.36/0.70 (define @t289 () (forall @t12 @t288)) % 0.36/0.70 (define @t290 () (=> @t289 @t281)) % 0.36/0.70 (define @t291 () (@var "BOUND_VARIABLE_8349" $$unsorted)) % 0.36/0.70 (define @t292 () (_ @t141 @t19)) % 0.36/0.70 (define @t293 () (not @t292)) % 0.36/0.70 (define @t294 () (not (_ @t141 @t291))) % 0.36/0.70 (define @t295 () (not (forall @t9 @t267))) % 0.36/0.70 (define @t296 () (@list @t141 @t291)) % 0.36/0.70 (define @t297 () (forall @t296 (or @t295 @t294 (not (forall @t68 (or @t293 (= @t19 @t291))))))) % 0.36/0.70 (define @t298 () (=> @t297 @t290)) % 0.36/0.70 (define @t299 () (tptp.in @t4 tptp.emptyset)) % 0.36/0.70 (define @t300 () (forall @t9 (not @t299))) % 0.36/0.70 (define @t301 () (=> @t300 @t298)) % 0.36/0.70 (define @t302 () (=> @t300 @t301)) % 0.36/0.70 (define @t303 () (=> @t300 @t302)) % 0.36/0.70 (define @t304 () (@var "BOUND_VARIABLE_13615" $$unsorted)) % 0.36/0.70 (define @t305 () (lambda (@list @t304) false)) % 0.36/0.70 (define @t306 () (tptp.powerset tptp.emptyset)) % 0.36/0.70 (define @t307 () (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t306 @t305))))) % 0.36/0.70 (define @t308 () (=> @t307 @t303)) % 0.36/0.70 (define @t309 () (not @t276)) % 0.36/0.70 (define @t310 () (forall @t157 (or @t309 @t266))) % 0.36/0.70 (define @t311 () (=> @t310 @t308)) % 0.36/0.70 (define @t312 () (forall @t157 (or @t309 @t268))) % 0.36/0.70 (define @t313 () (=> @t312 @t311)) % 0.36/0.70 (define @t314 () (forall @t157 (or @t269 @t267 @t276))) % 0.36/0.70 (define @t315 () (=> @t314 @t313)) % 0.36/0.70 (define @t316 () (@var "BOUND_VARIABLE_8220" $$unsorted)) % 0.36/0.70 (define @t317 () (not (_ @t141 @t316))) % 0.36/0.70 (define @t318 () (_ @t141 (tptp.descr @t141))) % 0.36/0.70 (define @t319 () (@list @t141 @t316)) % 0.36/0.70 (define @t320 () (forall @t319 (or @t318 @t317 (not (forall @t68 (or @t293 (= @t19 @t316))))))) % 0.36/0.70 (define @t321 () (=> @t320 @t315)) % 0.36/0.70 (define @t322 () (@var "BOUND_VARIABLE_8140" $$unsorted)) % 0.36/0.70 (define @t323 () (tptp.in @t322 @t93)) % 0.36/0.70 (define @t324 () (not (tptp.in @t322 @t91))) % 0.36/0.70 (define @t325 () (tptp.in @t4 @t91)) % 0.36/0.70 (define @t326 () (tptp.in @t91 @t1)) % 0.36/0.70 (define @t327 () (not @t326)) % 0.36/0.70 (define @t328 () (or @t327 @t325 @t324 @t323)) % 0.36/0.70 (define @t329 () (@list @t91 @t322)) % 0.36/0.70 (define @t330 () (forall @t329 @t328)) % 0.36/0.70 (define @t331 () (not @t330)) % 0.36/0.70 (define @t332 () (tptp.in @t19 @t102)) % 0.36/0.70 (define @t333 () (tptp.in @t19 @t93)) % 0.36/0.70 (define @t334 () (forall @t68 (or (not @t333) (not @t332)))) % 0.36/0.70 (define @t335 () (not @t334)) % 0.36/0.70 (define @t336 () (tptp.in @t4 @t102)) % 0.36/0.70 (define @t337 () (not @t336)) % 0.36/0.70 (define @t338 () (tptp.in @t93 @t1)) % 0.36/0.70 (define @t339 () (not @t338)) % 0.36/0.70 (define @t340 () (not (forall @t110 (or @t339 @t337 @t335 @t331)))) % 0.36/0.70 (define @t341 () (@var "BOUND_VARIABLE_8169" $$unsorted)) % 0.36/0.70 (define @t342 () (not (tptp.in @t341 @t102))) % 0.36/0.70 (define @t343 () (forall @t9 (or @t337 @t268))) % 0.36/0.70 (define @t344 () (not @t343)) % 0.36/0.70 (define @t345 () (or @t344 @t342 @t340)) % 0.36/0.70 (define @t346 () (forall (@list @t102 @t341) @t345)) % 0.36/0.70 (define @t347 () (not @t346)) % 0.36/0.70 (define @t348 () (@var "BOUND_VARIABLE_8092" $$unsorted)) % 0.36/0.70 (define @t349 () (tptp.in @t348 @t102)) % 0.36/0.70 (define @t350 () (not (tptp.in @t348 @t93))) % 0.36/0.70 (define @t351 () (@var "BOUND_VARIABLE_8086" $$unsorted)) % 0.36/0.70 (define @t352 () (tptp.in @t351 @t93)) % 0.36/0.70 (define @t353 () (not (tptp.in @t351 @t102))) % 0.36/0.70 (define @t354 () (tptp.in @t102 @t1)) % 0.36/0.70 (define @t355 () (not @t354)) % 0.36/0.70 (define @t356 () (or @t355 @t339 @t353 @t352 @t350 @t349)) % 0.36/0.70 (define @t357 () (@list @t102 @t93 @t351 @t348)) % 0.36/0.70 (define @t358 () (forall @t357 @t356)) % 0.36/0.70 (define @t359 () (not @t358)) % 0.36/0.70 (define @t360 () (forall @t116 (or @t355 (= @t336 @t332)))) % 0.36/0.70 (define @t361 () (not @t360)) % 0.36/0.70 (define @t362 () (tptp.in @t19 @t2)) % 0.36/0.70 (define @t363 () (not @t362)) % 0.36/0.70 (define @t364 () (forall @t133 (or @t269 @t363 @t361 @t127))) % 0.36/0.70 (define @t365 () (not @t364)) % 0.36/0.70 (define @t366 () (@var "BOUND_VARIABLE_8035" $$unsorted)) % 0.36/0.70 (define @t367 () (tptp.in @t366 @t2)) % 0.36/0.70 (define @t368 () (not (tptp.in @t366 @t102))) % 0.36/0.70 (define @t369 () (or @t355 @t368 @t367)) % 0.36/0.70 (define @t370 () (@list @t102 @t366)) % 0.36/0.70 (define @t371 () (forall @t370 @t369)) % 0.36/0.70 (define @t372 () (not @t371)) % 0.36/0.70 (define @t373 () (or @t372 @t365 @t359 @t347)) % 0.36/0.70 (define @t374 () (forall @t62 (not (forall @t39 @t373)))) % 0.36/0.70 (define @t375 () (=> @t374 @t321)) % 0.36/0.70 (define @t376 () (forall @t9 (or @t283 @t269))) % 0.36/0.70 (define @t377 () (not @t376)) % 0.36/0.70 (define @t378 () (tptp.in @t1 @t2)) % 0.36/0.70 (define @t379 () (not @t378)) % 0.36/0.70 (define @t380 () (not (forall @t39 (or @t379 @t377)))) % 0.36/0.70 (define @t381 () (@var "BOUND_VARIABLE_8010" $$unsorted)) % 0.36/0.70 (define @t382 () (not (tptp.in @t381 @t2))) % 0.36/0.70 (define @t383 () (or @t382 @t380)) % 0.36/0.70 (define @t384 () (forall (@list @t2 @t381) @t383)) % 0.36/0.70 (define @t385 () (=> @t384 @t375)) % 0.36/0.70 (define @t386 () (_ @t65 @t19 @t4)) % 0.36/0.70 (define @t387 () (not (forall @t68 (or @t363 (not @t386))))) % 0.36/0.70 (define @t388 () (forall @t9 (= @t282 @t387))) % 0.36/0.70 (define @t389 () (not (forall @t39 (not @t388)))) % 0.36/0.70 (define @t390 () (@var "BOUND_VARIABLE_7900" $$unsorted)) % 0.36/0.70 (define @t391 () (= @t19 @t390)) % 0.36/0.70 (define @t392 () (_ @t65 @t4 @t19)) % 0.36/0.70 (define @t393 () (not (forall @t68 (or (not @t392) @t391)))) % 0.36/0.70 (define @t394 () (_ @t65 @t4 @t390)) % 0.36/0.70 (define @t395 () (@list @t390)) % 0.36/0.70 (define @t396 () (not (forall @t395 (or (not @t394) @t393)))) % 0.36/0.70 (define @t397 () (forall @t9 (or @t269 @t396))) % 0.36/0.70 (define @t398 () (forall @t79 (or (not @t397) @t389))) % 0.36/0.70 (define @t399 () (=> @t398 @t385)) % 0.36/0.70 (define @t400 () (@var "BOUND_VARIABLE_7881" $$unsorted)) % 0.36/0.70 (define @t401 () (tptp.in @t400 @t2)) % 0.36/0.70 (define @t402 () (not (tptp.in @t400 tptp.omega))) % 0.36/0.70 (define @t403 () (tptp.setadjoin @t4 @t4)) % 0.36/0.70 (define @t404 () (tptp.in @t403 @t2)) % 0.36/0.70 (define @t405 () (tptp.in @t4 tptp.omega)) % 0.36/0.70 (define @t406 () (not @t405)) % 0.36/0.70 (define @t407 () (forall @t9 (or @t406 @t269 @t404))) % 0.36/0.70 (define @t408 () (not @t407)) % 0.36/0.70 (define @t409 () (tptp.in tptp.emptyset @t2)) % 0.36/0.70 (define @t410 () (not @t409)) % 0.36/0.70 (define @t411 () (or @t410 @t408 @t402 @t401)) % 0.36/0.70 (define @t412 () (@list @t2 @t400)) % 0.36/0.70 (define @t413 () (forall @t412 @t411)) % 0.36/0.70 (define @t414 () (=> @t413 @t399)) % 0.36/0.70 (define @t415 () (tptp.in @t403 tptp.omega)) % 0.36/0.70 (define @t416 () (forall @t9 (or @t406 @t415))) % 0.36/0.70 (define @t417 () (=> @t416 @t414)) % 0.36/0.70 (define @t418 () (tptp.in tptp.emptyset tptp.omega)) % 0.36/0.70 (define @t419 () (=> @t48 @t417)) % 0.36/0.70 (define @t420 () (tptp.setunion @t2)) % 0.36/0.70 (define @t421 () (tptp.in @t4 @t420)) % 0.36/0.70 (define @t422 () (not (forall @t39 (or @t283 @t379)))) % 0.36/0.70 (define @t423 () (forall @t44 (= @t422 @t421))) % 0.36/0.70 (define @t424 () (=> @t423 @t419)) % 0.36/0.70 (define @t425 () (tptp.powerset @t2)) % 0.36/0.70 (define @t426 () (tptp.in @t1 @t425)) % 0.36/0.70 (define @t427 () (forall @t12 (= @t284 @t426))) % 0.36/0.70 (define @t428 () (=> @t427 @t424)) % 0.36/0.70 (define @t429 () (tptp.setadjoin @t4 @t2)) % 0.36/0.70 (define @t430 () (tptp.in @t19 @t429)) % 0.36/0.70 (define @t431 () (forall @t27 (= @t430 (or @t127 @t362)))) % 0.36/0.70 (define @t432 () (=> @t431 @t428)) % 0.36/0.70 (define @t433 () (=> @t300 @t432)) % 0.36/0.70 (define @t434 () (forall @t9 (= @t268 @t282))) % 0.36/0.70 (define @t435 () (forall @t12 (or (not @t434) @t3))) % 0.36/0.70 (define @t436 () (=> @t435 @t433)) % 0.36/0.70 (define @t437 () (=> @t310 (=> true @t308))) % 0.36/0.70 (define @t438 () (=> @t312 @t437)) % 0.36/0.70 (define @t439 () (=> @t314 @t438)) % 0.36/0.70 (define @t440 () (=> @t320 @t439)) % 0.36/0.70 (define @t441 () (=> @t374 @t440)) % 0.36/0.70 (define @t442 () (=> @t384 @t441)) % 0.36/0.70 (define @t443 () (=> @t398 @t442)) % 0.36/0.70 (define @t444 () (=> @t413 @t443)) % 0.36/0.70 (define @t445 () (=> @t416 @t444)) % 0.36/0.70 (define @t446 () (=> @t48 @t445)) % 0.36/0.70 (define @t447 () (=> @t423 @t446)) % 0.36/0.70 (define @t448 () (=> @t427 @t447)) % 0.36/0.70 (define @t449 () (=> @t431 @t448)) % 0.36/0.70 (define @t450 () (=> @t300 @t449)) % 0.36/0.70 (define @t451 () (=> @t435 @t450)) % 0.36/0.70 (define @t452 () (= tptp.emptyset tptp.emptyset)) % 0.36/0.70 (define @t453 () (not @t452)) % 0.36/0.70 (define @t454 () (or @t261 @t453)) % 0.36/0.70 (define @t455 () (not @t191)) % 0.36/0.70 (define @t456 () (not (tptp.in @t260 @t2))) % 0.36/0.70 (define @t457 () (or @t455 @t456 @t455)) % 0.36/0.70 (define @t458 () (or @t456 @t455)) % 0.36/0.70 (define @t459 () (forall @t62 @t458)) % 0.36/0.70 (define @t460 () (forall @t262 @t459)) % 0.36/0.70 (define @t461 () (forall (@list @t260 @t2) @t458)) % 0.36/0.70 (define @t462 () (forall (@list @t2 @t260) @t458)) % 0.36/0.70 (define @t463 () (forall @t262 @t458)) % 0.36/0.70 (define @t464 () (forall @t262 @t456)) % 0.36/0.70 (define @t465 () (@list @t4)) % 0.36/0.70 (define @t466 () (or @t464 @t455)) % 0.36/0.70 (define @t467 () (not @t273)) % 0.36/0.70 (define @t468 () (_ @t253 @t2)) % 0.36/0.70 (define @t469 () (not @t193)) % 0.36/0.70 (define @t470 () (=> @t87 @t468)) % 0.36/0.70 (define @t471 () (forall @t62 @t470)) % 0.36/0.70 (define @t472 () (lambda @t68 @t292)) % 0.36/0.70 (define @t473 () (tptp.dsetconstr @t2 @t472)) % 0.36/0.70 (define @t474 () (= tptp.emptyset @t473)) % 0.36/0.70 (define @t475 () (not @t474)) % 0.36/0.70 (define @t476 () (or @t269 @t267 @t475)) % 0.36/0.70 (define @t477 () (= tptp.emptyset @t154)) % 0.36/0.70 (define @t478 () (not @t477)) % 0.36/0.70 (define @t479 () (not @t142)) % 0.36/0.70 (define @t480 () (or @t192 @t479 @t478)) % 0.36/0.70 (define @t481 () (=> @t142 @t478)) % 0.36/0.70 (define @t482 () (not (= @t154 tptp.emptyset))) % 0.36/0.70 (define @t483 () (_ @t253 @t154)) % 0.36/0.70 (define @t484 () (=> @t142 @t483)) % 0.36/0.70 (define @t485 () (=> @t7 @t484)) % 0.36/0.70 (define @t486 () (forall @t157 @t485)) % 0.36/0.70 (define @t487 () (=> @t468 @t87)) % 0.36/0.70 (define @t488 () (forall @t62 @t487)) % 0.36/0.70 (define @t489 () (tptp.in @t4 @t473)) % 0.36/0.70 (define @t490 () (= @t266 @t489)) % 0.36/0.70 (define @t491 () (or @t269 @t490)) % 0.36/0.70 (define @t492 () (= @t142 @t155)) % 0.36/0.70 (define @t493 () (or @t192 @t492)) % 0.36/0.70 (define @t494 () (=> @t284 @t3)) % 0.36/0.70 (define @t495 () (not @t6)) % 0.36/0.70 (define @t496 () (or @t495 @t7)) % 0.36/0.70 (define @t497 () (or @t192 @t6)) % 0.36/0.70 (define @t498 () (or @t293 (= @t291 @t19))) % 0.36/0.70 (define @t499 () (forall @t68 @t498)) % 0.36/0.70 (define @t500 () (not @t499)) % 0.36/0.70 (define @t501 () (or @t295 @t294 @t500)) % 0.36/0.70 (define @t502 () (or @t294 @t500)) % 0.36/0.70 (define @t503 () (or @t502 @t295)) % 0.36/0.70 (define @t504 () (forall @t296 @t503)) % 0.36/0.70 (define @t505 () (@list @t291)) % 0.36/0.70 (define @t506 () (forall @t505 @t503)) % 0.36/0.70 (define @t507 () (forall @t505 @t502)) % 0.36/0.70 (define @t508 () (or @t507 @t295)) % 0.36/0.70 (define @t509 () (forall @t68 (or @t293 @t127))) % 0.36/0.70 (define @t510 () (not @t509)) % 0.36/0.70 (define @t511 () (forall @t9 (or @t267 @t510))) % 0.36/0.70 (define @t512 () (not @t511)) % 0.36/0.70 (define @t513 () (not @t512)) % 0.36/0.70 (define @t514 () (forall @t9 @t479)) % 0.36/0.70 (define @t515 () (not @t514)) % 0.36/0.70 (define @t516 () (or @t479 @t510)) % 0.36/0.70 (define @t517 () (not @t151)) % 0.36/0.70 (define @t518 () (or @t517 @t127)) % 0.36/0.70 (define @t519 () (_ @t143 @t19)) % 0.36/0.70 (define @t520 () (not @t519)) % 0.36/0.70 (define @t521 () (or @t520 @t127)) % 0.36/0.70 (define @t522 () (forall @t68 @t521)) % 0.36/0.70 (define @t523 () (not @t522)) % 0.36/0.70 (define @t524 () (_ @t143 @t4)) % 0.36/0.70 (define @t525 () (not @t524)) % 0.36/0.70 (define @t526 () (or @t525 @t523)) % 0.36/0.70 (define @t527 () (forall @t9 @t526)) % 0.36/0.70 (define @t528 () (not @t527)) % 0.36/0.70 (define @t529 () (lambda @t148 @t512)) % 0.36/0.70 (define @t530 () (_ @t529 @t143)) % 0.36/0.70 (define @t531 () (=> @t530 @t182)) % 0.36/0.70 (define @t532 () (forall @t148 @t531)) % 0.36/0.70 (define @t533 () (and @t142 @t509)) % 0.36/0.70 (define @t534 () (forall @t9 (not @t533))) % 0.36/0.70 (define @t535 () (not @t534)) % 0.36/0.70 (define @t536 () (not (= @t170 false))) % 0.36/0.70 (define @t537 () (or @t170 @t170)) % 0.36/0.70 (define @t538 () (@var "BOUND_VARIABLE_8294" $$unsorted)) % 0.36/0.70 (define @t539 () (@list @t538)) % 0.36/0.70 (define @t540 () (lambda @t539 false)) % 0.36/0.70 (define @t541 () (@list @t538)) % 0.36/0.70 (define @t542 () (tptp.dsetconstr @t306 @t540)) % 0.36/0.70 (define @t543 () (tptp.in @t4 @t542)) % 0.36/0.70 (define @t544 () (not @t543)) % 0.36/0.70 (define @t545 () (or @t544 false)) % 0.36/0.70 (define @t546 () (lambda @t539 @t170)) % 0.36/0.70 (define @t547 () (tptp.dsetconstr @t306 @t546)) % 0.36/0.70 (define @t548 () (tptp.in @t4 @t547)) % 0.36/0.70 (define @t549 () (not @t548)) % 0.36/0.70 (define @t550 () (or @t170 @t549 @t170)) % 0.36/0.70 (define @t551 () (or @t549 @t170)) % 0.36/0.70 (define @t552 () (forall @t175 @t551)) % 0.36/0.70 (define @t553 () (forall @t9 @t552)) % 0.36/0.70 (define @t554 () (forall (@list @t4 @t170) @t551)) % 0.36/0.70 (define @t555 () (_ @t250 @t546)) % 0.36/0.70 (define @t556 () (_ @t5 @t555)) % 0.36/0.70 (define @t557 () (not @t556)) % 0.36/0.70 (define @t558 () (or @t557 @t170)) % 0.36/0.70 (define @t559 () (=> (_ @t5 @t251) @t170)) % 0.36/0.70 (define @t560 () (_ @t252 @t170)) % 0.36/0.70 (define @t561 () (=> (_ @t5 @t560) @t170)) % 0.36/0.70 (define @t562 () (forall @t172 @t561)) % 0.36/0.70 (define @t563 () (=> @t530 @t166)) % 0.36/0.70 (define @t564 () (forall @t148 @t563)) % 0.36/0.70 (define @t565 () (not @t489)) % 0.36/0.70 (define @t566 () (or @t565 @t266)) % 0.36/0.70 (define @t567 () (not @t155)) % 0.36/0.70 (define @t568 () (or @t567 @t142)) % 0.36/0.70 (define @t569 () (or @t565 @t268)) % 0.36/0.70 (define @t570 () (or @t567 @t7)) % 0.36/0.70 (define @t571 () (or @t269 @t267 @t489)) % 0.36/0.70 (define @t572 () (or @t192 @t479 @t155)) % 0.36/0.70 (define @t573 () (or @t293 (= @t316 @t19))) % 0.36/0.70 (define @t574 () (forall @t68 @t573)) % 0.36/0.70 (define @t575 () (not @t574)) % 0.36/0.70 (define @t576 () (or @t318 @t317 @t575)) % 0.36/0.70 (define @t577 () (or @t317 @t575)) % 0.36/0.70 (define @t578 () (or @t577 @t318)) % 0.36/0.70 (define @t579 () (forall @t319 @t578)) % 0.36/0.70 (define @t580 () (@list @t316)) % 0.36/0.70 (define @t581 () (forall @t580 @t578)) % 0.36/0.70 (define @t582 () (forall @t580 @t577)) % 0.36/0.70 (define @t583 () (or @t582 @t318)) % 0.36/0.70 (define @t584 () (lambda @t9 @t266)) % 0.36/0.70 (define @t585 () (tptp.descr @t584)) % 0.36/0.70 (define @t586 () (_ @t141 @t585)) % 0.36/0.70 (define @t587 () (or @t511 @t586)) % 0.36/0.70 (define @t588 () (or @t511 @t145)) % 0.36/0.70 (define @t589 () (=> @t530 @t145)) % 0.36/0.70 (define @t590 () (forall @t148 @t589)) % 0.36/0.70 (define @t591 () (and @t371 @t364 @t358 @t346)) % 0.36/0.70 (define @t592 () (forall @t39 (not @t591))) % 0.36/0.70 (define @t593 () (not @t592)) % 0.36/0.70 (define @t594 () (@list @t341)) % 0.36/0.70 (define @t595 () (forall @t594 @t345)) % 0.36/0.70 (define @t596 () (forall @t594 @t342)) % 0.36/0.70 (define @t597 () (or @t344 @t596 @t340)) % 0.36/0.70 (define @t598 () (forall @t9 @t337)) % 0.36/0.70 (define @t599 () (or @t344 @t598 @t340)) % 0.36/0.70 (define @t600 () (not @t598)) % 0.36/0.70 (define @t601 () (and @t343 @t600)) % 0.36/0.70 (define @t602 () (not @t107)) % 0.36/0.70 (define @t603 () (not @t108)) % 0.36/0.70 (define @t604 () (or @t603 @t602 @t335 @t331)) % 0.36/0.70 (define @t605 () (and @t108 @t107 @t334 @t330)) % 0.36/0.70 (define @t606 () (forall @t110 (not @t605))) % 0.36/0.70 (define @t607 () (not @t606)) % 0.36/0.70 (define @t608 () (or @t324 @t323)) % 0.36/0.70 (define @t609 () (or @t327 @t608 @t325)) % 0.36/0.70 (define @t610 () (forall @t329 @t609)) % 0.36/0.70 (define @t611 () (@list @t322)) % 0.36/0.70 (define @t612 () (forall @t611 @t609)) % 0.36/0.70 (define @t613 () (forall @t611 @t608)) % 0.36/0.70 (define @t614 () (or @t327 @t613 @t325)) % 0.36/0.70 (define @t615 () (tptp.in @t19 @t91)) % 0.36/0.70 (define @t616 () (forall @t68 (or (not @t615) @t333))) % 0.36/0.70 (define @t617 () (not @t98)) % 0.36/0.70 (define @t618 () (or @t617 @t616 @t92)) % 0.36/0.70 (define @t619 () (or @t616 @t92)) % 0.36/0.70 (define @t620 () (not @t95)) % 0.36/0.70 (define @t621 () (or @t620 @t94)) % 0.36/0.70 (define @t622 () (not @t103)) % 0.36/0.70 (define @t623 () (not @t94)) % 0.36/0.70 (define @t624 () (or @t623 @t622)) % 0.36/0.70 (define @t625 () (forall @t68 (not @t104))) % 0.36/0.70 (define @t626 () (not @t625)) % 0.36/0.70 (define @t627 () (forall @t9 @t602)) % 0.36/0.70 (define @t628 () (not @t627)) % 0.36/0.70 (define @t629 () (or @t602 @t7)) % 0.36/0.70 (define @t630 () (or @t350 @t349)) % 0.36/0.70 (define @t631 () (or @t353 @t352)) % 0.36/0.70 (define @t632 () (or @t355 @t339 @t631 @t630)) % 0.36/0.70 (define @t633 () (forall @t357 @t632)) % 0.36/0.70 (define @t634 () (forall (@list @t351 @t348) @t632)) % 0.36/0.70 (define @t635 () (forall (@list @t348) @t630)) % 0.36/0.70 (define @t636 () (forall (@list @t351) @t631)) % 0.36/0.70 (define @t637 () (or @t355 @t339 @t636 @t635)) % 0.36/0.70 (define @t638 () (tptp.in @t4 @t93)) % 0.36/0.70 (define @t639 () (forall @t9 (or (not @t638) @t336))) % 0.36/0.70 (define @t640 () (forall @t9 (or @t337 @t638))) % 0.36/0.70 (define @t641 () (not @t122)) % 0.36/0.70 (define @t642 () (or @t641 @t603 @t640 @t639)) % 0.36/0.70 (define @t643 () (or @t640 @t639)) % 0.36/0.70 (define @t644 () (not @t118)) % 0.36/0.70 (define @t645 () (or @t644 @t107)) % 0.36/0.70 (define @t646 () (or @t602 @t118)) % 0.36/0.70 (define @t647 () (not @t21)) % 0.36/0.70 (define @t648 () (or @t192 @t647 @t361 @t127)) % 0.36/0.70 (define @t649 () (=> @t360 @t127)) % 0.36/0.70 (define @t650 () (or @t641 @t128)) % 0.36/0.70 (define @t651 () (or @t368 @t367)) % 0.36/0.70 (define @t652 () (or @t355 @t651)) % 0.36/0.70 (define @t653 () (forall @t370 @t652)) % 0.36/0.70 (define @t654 () (@list @t366)) % 0.36/0.70 (define @t655 () (forall @t654 @t652)) % 0.36/0.70 (define @t656 () (forall @t654 @t651)) % 0.36/0.70 (define @t657 () (or @t355 @t656)) % 0.36/0.70 (define @t658 () (or @t641 @t343)) % 0.36/0.70 (define @t659 () (@list @t381)) % 0.36/0.70 (define @t660 () (forall @t659 @t383)) % 0.36/0.70 (define @t661 () (forall @t659 @t382)) % 0.36/0.70 (define @t662 () (or @t661 @t380)) % 0.36/0.70 (define @t663 () (not @t37)) % 0.36/0.70 (define @t664 () (or @t663 @t377)) % 0.36/0.70 (define @t665 () (and @t37 @t376)) % 0.36/0.70 (define @t666 () (forall @t39 (not @t665))) % 0.36/0.70 (define @t667 () (not @t666)) % 0.36/0.70 (define @t668 () (or @t495 @t192)) % 0.36/0.70 (define @t669 () (forall @t9 (not @t82))) % 0.36/0.70 (define @t670 () (not @t669)) % 0.36/0.70 (define @t671 () (= @t6 @t387)) % 0.36/0.70 (define @t672 () (not @t66)) % 0.36/0.70 (define @t673 () (or @t647 @t672)) % 0.36/0.70 (define @t674 () (forall @t68 (not @t67))) % 0.36/0.70 (define @t675 () (not @t674)) % 0.36/0.70 (define @t676 () (or @t192 @t396)) % 0.36/0.70 (define @t677 () (_ @t73 @t390)) % 0.36/0.70 (define @t678 () (not @t677)) % 0.36/0.70 (define @t679 () (or @t678 @t393)) % 0.36/0.70 (define @t680 () (not @t74)) % 0.36/0.70 (define @t681 () (or @t680 @t391)) % 0.36/0.70 (define @t682 () (_ @t75 @t19)) % 0.36/0.70 (define @t683 () (not @t682)) % 0.36/0.70 (define @t684 () (or @t683 @t391)) % 0.36/0.70 (define @t685 () (forall @t68 @t684)) % 0.36/0.70 (define @t686 () (not @t685)) % 0.36/0.70 (define @t687 () (_ @t75 @t390)) % 0.36/0.70 (define @t688 () (not @t687)) % 0.36/0.70 (define @t689 () (or @t688 @t686)) % 0.36/0.70 (define @t690 () (forall @t395 @t689)) % 0.36/0.70 (define @t691 () (not @t690)) % 0.36/0.70 (define @t692 () (not (_ @t141 @t390))) % 0.36/0.70 (define @t693 () (or @t293 (= @t390 @t19))) % 0.36/0.70 (define @t694 () (forall @t68 @t693)) % 0.36/0.70 (define @t695 () (not @t694)) % 0.36/0.70 (define @t696 () (or @t692 @t695)) % 0.36/0.70 (define @t697 () (forall @t395 @t696)) % 0.36/0.70 (define @t698 () (not @t697)) % 0.36/0.70 (define @t699 () (=> @t7 (_ @t529 @t75))) % 0.36/0.70 (define @t700 () (forall @t9 @t699)) % 0.36/0.70 (define @t701 () (=> @t700 @t72)) % 0.36/0.70 (define @t702 () (forall @t79 @t701)) % 0.36/0.70 (define @t703 () (or @t402 @t401)) % 0.36/0.70 (define @t704 () (or @t410 @t408 @t703)) % 0.36/0.70 (define @t705 () (forall @t412 @t704)) % 0.36/0.70 (define @t706 () (@list @t400)) % 0.36/0.70 (define @t707 () (forall @t706 @t704)) % 0.36/0.70 (define @t708 () (forall @t706 @t703)) % 0.36/0.70 (define @t709 () (or @t410 @t408 @t708)) % 0.36/0.70 (define @t710 () (forall @t9 (or @t406 @t268))) % 0.36/0.70 (define @t711 () (not @t59)) % 0.36/0.70 (define @t712 () (or @t711 @t408 @t710)) % 0.36/0.70 (define @t713 () (and @t59 @t407)) % 0.36/0.70 (define @t714 () (not @t52)) % 0.36/0.70 (define @t715 () (or @t714 @t7)) % 0.36/0.70 (define @t716 () (_ tptp.in @t403)) % 0.36/0.70 (define @t717 () (or @t714 @t192 @t56)) % 0.36/0.70 (define @t718 () (or @t714 @t51)) % 0.36/0.70 (define @t719 () (= @t42 @t422)) % 0.36/0.70 (define @t720 () (or @t495 @t663)) % 0.36/0.70 (define @t721 () (forall @t39 (not @t38))) % 0.36/0.70 (define @t722 () (not @t721)) % 0.36/0.70 (define @t723 () (= @t33 @t284)) % 0.36/0.70 (define @t724 () (or @t127 @t21)) % 0.36/0.70 (define @t725 () (= @t25 @t724)) % 0.36/0.70 (define @t726 () (tptp.in tptp.emptyset tptp.emptyset)) % 0.36/0.70 (define @t727 () (or @t452 @t726)) % 0.36/0.70 (define @t728 () (= @t255 @t727)) % 0.36/0.70 (assume @p1 @t14) % 0.36/0.70 (assume @p2 @t18) % 0.36/0.70 (assume @p3 @t29) % 0.36/0.70 (assume @p4 @t36) % 0.36/0.70 (assume @p5 @t46) % 0.36/0.70 (assume @p6 (= tptp.omega0Ax @t48)) % 0.36/0.70 (assume @p7 @t54) % 0.36/0.70 (assume @p8 @t64) % 0.36/0.70 (assume @p9 @t81) % 0.36/0.70 (assume @p10 @t90) % 0.36/0.70 (assume @p11 @t140) % 0.36/0.70 (assume @p12 @t150) % 0.36/0.70 (assume @p13 @t159) % 0.36/0.70 (assume @p14 @t161) % 0.36/0.70 (assume @p15 @t163) % 0.36/0.70 (assume @p16 @t169) % 0.36/0.70 (assume @p17 @t174) % 0.36/0.70 (assume @p18 @t179) % 0.36/0.70 (assume @p19 @t181) % 0.36/0.70 (assume @p20 (= tptp.notinemptyset @t17)) % 0.36/0.70 (assume @p21 @t185) % 0.36/0.70 (assume @p22 @t190) % 0.36/0.70 (assume @p23 @t196) % 0.36/0.70 (assume @p24 (= tptp.noeltsimpempty @t195)) % 0.36/0.70 (assume @p25 @t199) % 0.36/0.70 (assume @p26 @t203) % 0.36/0.70 (assume @p27 @t207) % 0.36/0.70 (assume @p28 @t210) % 0.36/0.70 (assume @p29 @t214) % 0.36/0.70 (assume @p30 @t246) % 0.36/0.70 (assume @p31 true) % 0.36/0.70 (step @p32 (= tptp.exu @t247) :rule refl :args (@t247)) % 0.36/0.70 (step @p33 (= tptp.prop2set @t252) :rule refl :args (@t252)) % 0.36/0.70 (step @p34 (= tptp.nonempty @t253) :rule refl :args (@t253)) % 0.36/0.70 (step @p35 :rule refl :args ((tptp.in tptp.emptyset @t215))) % 0.36/0.70 (step @p36 :rule refl :args (@t254)) % 0.36/0.70 (step @p37 :rule refl :args (tptp.emptyset)) % 0.36/0.70 (step @p38 :rule cong :premises (@p37 @p36) :args (@t255)) % 0.36/0.70 (step @p39 :rule trans :premises (@p38 @p35)) % 0.36/0.70 (step @p40 :rule refl :args (@t47)) % 0.36/0.70 (step @p41 :rule ho_cong :premises (@p40 @p36)) % 0.36/0.70 (step @p42 :rule cong :premises (@p41 @p39) :args ((= (_ @t47 @t254) @t255))) % 0.36/0.70 (step @p43 :rule symm :premises (@p42)) % 0.36/0.70 (step @p44 :rule refl :args (@t216)) % 0.36/0.70 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.36/0.70 (step @p46 :rule refl :args (@t215)) % 0.36/0.70 (step @p47 :rule cong :premises (@p46 @p36) :args ((= @t215 @t254))) % 0.36/0.70 (step @p48 :rule symm :premises (@p47)) % 0.36/0.70 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.36/0.70 (step @p50 :rule refl :args (@t47)) % 0.36/0.70 (step @p51 :rule ho_cong :premises (@p50 @p49)) % 0.36/0.70 (step @p52 :rule trans :premises (@p51 @p45)) % 0.36/0.70 (step @p53 :rule refl :args (@t258)) % 0.36/0.70 (step @p54 :rule cong :premises (@p53 @p52) :args (@t259)) % 0.36/0.70 (step @p55 :rule refl :args (@t263)) % 0.36/0.70 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0.36/0.71 (step @p1246 :rule bool-impl-elim :args (@t52 @t51)) % 0.36/0.71 (step @p1247 :rule cong :premises (@p1246) :args (@t53)) % 0.36/0.71 (step @p1248 :rule trans :premises (@p1247 @p1245)) % 0.36/0.71 (step @p1249 :rule refl :args (tptp.omegaSAx)) % 0.36/0.71 (step @p1250 :rule cong :premises (@p1249 @p1248) :args (@t54)) % 0.36/0.71 (step @p1251 :rule eq_resolve :premises (@p7 @p1250)) % 0.36/0.71 (step @p1252 :rule cong :premises (@p1251 @p1232) :args (@t239)) % 0.36/0.71 (step @p1253 :rule cong :premises (@p6 @p1252) :args (@t240)) % 0.36/0.71 (step @p1254 :rule eq-symm :args (@t421 @t422)) % 0.36/0.71 (step @p1255 :rule cong :premises (@p1254) :args ((forall @t44 (= @t421 @t422)))) % 0.36/0.71 (step @p1256 :rule refl :args (@t422)) % 0.36/0.71 (step @p1257 :rule refl :args ((tptp.in @t4 @t41))) % 0.36/0.71 (step @p1258 :rule refl :args (@t420)) % 0.36/0.71 (step @p1259 :rule cong :premises (@p131 @p1258) :args (@t421)) % 0.36/0.71 (step @p1260 :rule trans :premises (@p1259 @p1257)) % 0.36/0.71 (step @p1261 :rule ho_cong :premises (@p134 @p1258)) % 0.36/0.71 (step @p1262 :rule cong :premises (@p1261 @p1260) :args ((= (_ @t5 @t420) @t421))) % 0.36/0.71 (step @p1263 :rule symm :premises (@p1262)) % 0.36/0.71 (step @p1264 :rule refl :args (@t42)) % 0.36/0.71 (step @p1265 :rule eq_resolve :premises (@p1264 @p1263)) % 0.36/0.71 (step @p1266 :rule refl :args (@t41)) % 0.36/0.71 (step @p1267 :rule cong :premises (@p1266 @p1258) :args ((= @t41 @t420))) % 0.36/0.71 (step @p1268 :rule symm :premises (@p1267)) % 0.36/0.71 (step @p1269 :rule eq_resolve :premises (@p1266 @p1268)) % 0.36/0.71 (step @p1270 :rule ho_cong :premises (@p134 @p1269)) % 0.36/0.71 (step @p1271 :rule trans :premises (@p1270 @p1265)) % 0.36/0.71 (step @p1272 :rule cong :premises (@p1271 @p1256) :args (@t719)) % 0.36/0.71 (step @p1273 :rule cong :premises (@p1272) :args ((forall @t44 @t719))) % 0.36/0.71 (step @p1274 :rule trans :premises (@p1273 @p1255)) % 0.36/0.71 (step @p1275 :rule nary_cong :premises (@p360 @p1022) :args (@t720)) % 0.36/0.71 (step @p1276 :rule cong :premises (@p1275) :args ((forall @t39 @t720))) % 0.36/0.71 (step @p1277 :rule bool-and-de-morgan :args (@t6 @t37 true)) % 0.36/0.71 (step @p1278 :rule cong :premises (@p1277) :args (@t721)) % 0.36/0.71 (step @p1279 :rule trans :premises (@p1278 @p1276)) % 0.36/0.71 (step @p1280 :rule cong :premises (@p1279) :args (@t722)) % 0.36/0.71 (step @p1281 :rule exists-elim :args ((= @t40 @t722))) % 0.36/0.71 (step @p1282 :rule trans :premises (@p1281 @p1280)) % 0.36/0.71 (step @p1283 :rule refl :args (@t42)) % 0.36/0.71 (step @p1284 :rule cong :premises (@p1283 @p1282) :args (@t43)) % 0.36/0.71 (step @p1285 :rule cong :premises (@p1284) :args (@t45)) % 0.36/0.71 (step @p1286 :rule trans :premises (@p1285 @p1274)) % 0.36/0.71 (step @p1287 :rule refl :args (tptp.setunionAx)) % 0.36/0.71 (step @p1288 :rule cong :premises (@p1287 @p1286) :args (@t46)) % 0.36/0.71 (step @p1289 :rule eq_resolve :premises (@p5 @p1288)) % 0.36/0.71 (step @p1290 :rule cong :premises (@p1289 @p1253) :args (@t241)) % 0.36/0.71 (step @p1291 :rule eq-symm :args (@t426 @t284)) % 0.36/0.71 (step @p1292 :rule cong :premises (@p1291) :args ((forall @t12 (= @t426 @t284)))) % 0.36/0.71 (step @p1293 :rule refl :args (@t284)) % 0.36/0.71 (step @p1294 :rule refl :args ((tptp.in @t1 @t31))) % 0.36/0.71 (step @p1295 :rule refl :args (@t425)) % 0.36/0.71 (step @p1296 :rule refl :args (@t1)) % 0.36/0.71 (step @p1297 :rule cong :premises (@p1296 @p1295) :args (@t426)) % 0.36/0.71 (step @p1298 :rule trans :premises (@p1297 @p1294)) % 0.36/0.71 (step @p1299 :rule refl :args (@t32)) % 0.36/0.71 (step @p1300 :rule ho_cong :premises (@p1299 @p1295)) % 0.36/0.71 (step @p1301 :rule cong :premises (@p1300 @p1298) :args ((= (_ @t32 @t425) @t426))) % 0.36/0.71 (step @p1302 :rule symm :premises (@p1301)) % 0.36/0.71 (step @p1303 :rule refl :args (@t33)) % 0.36/0.71 (step @p1304 :rule eq_resolve :premises (@p1303 @p1302)) % 0.36/0.71 (step @p1305 :rule refl :args (@t31)) % 0.36/0.71 (step @p1306 :rule cong :premises (@p1305 @p1295) :args ((= @t31 @t425))) % 0.36/0.71 (step @p1307 :rule symm :premises (@p1306)) % 0.36/0.71 (step @p1308 :rule eq_resolve :premises (@p1305 @p1307)) % 0.36/0.71 (step @p1309 :rule ho_cong :premises (@p1299 @p1308)) % 0.36/0.71 (step @p1310 :rule trans :premises (@p1309 @p1304)) % 0.36/0.71 (step @p1311 :rule cong :premises (@p1310 @p1293) :args (@t723)) % 0.36/0.71 (step @p1312 :rule cong :premises (@p1311) :args ((forall @t12 @t723))) % 0.36/0.71 (step @p1313 :rule trans :premises (@p1312 @p1292)) % 0.36/0.71 (step @p1314 :rule refl :args (@t33)) % 0.36/0.71 (step @p1315 :rule cong :premises (@p1314 @p365) :args (@t34)) % 0.36/0.71 (step @p1316 :rule cong :premises (@p1315) :args (@t35)) % 0.36/0.71 (step @p1317 :rule trans :premises (@p1316 @p1313)) % 0.36/0.71 (step @p1318 :rule refl :args (tptp.powersetAx)) % 0.36/0.71 (step @p1319 :rule cong :premises (@p1318 @p1317) :args (@t36)) % 0.36/0.71 (step @p1320 :rule eq_resolve :premises (@p4 @p1319)) % 0.36/0.71 (step @p1321 :rule cong :premises (@p1320 @p1290) :args (@t242)) % 0.36/0.71 (step @p1322 :rule nary_cong :premises (@p413 @p948) :args (@t724)) % 0.36/0.71 (step @p1323 :rule refl :args ((tptp.in @t19 @t24))) % 0.36/0.71 (step @p1324 :rule refl :args (@t429)) % 0.36/0.71 (step @p1325 :rule refl :args (@t19)) % 0.36/0.71 (step @p1326 :rule cong :premises (@p1325 @p1324) :args (@t430)) % 0.36/0.71 (step @p1327 :rule trans :premises (@p1326 @p1323)) % 0.36/0.71 (step @p1328 :rule refl :args (@t20)) % 0.36/0.71 (step @p1329 :rule ho_cong :premises (@p1328 @p1324)) % 0.36/0.71 (step @p1330 :rule cong :premises (@p1329 @p1327) :args ((= (_ @t20 @t429) @t430))) % 0.36/0.71 (step @p1331 :rule symm :premises (@p1330)) % 0.36/0.71 (step @p1332 :rule refl :args (@t25)) % 0.36/0.71 (step @p1333 :rule eq_resolve :premises (@p1332 @p1331)) % 0.36/0.71 (step @p1334 :rule refl :args (@t24)) % 0.36/0.71 (step @p1335 :rule cong :premises (@p1334 @p1324) :args ((= @t24 @t429))) % 0.36/0.71 (step @p1336 :rule symm :premises (@p1335)) % 0.36/0.71 (step @p1337 :rule eq_resolve :premises (@p1334 @p1336)) % 0.36/0.71 (step @p1338 :rule ho_cong :premises (@p1328 @p1337)) % 0.36/0.71 (step @p1339 :rule trans :premises (@p1338 @p1333)) % 0.36/0.71 (step @p1340 :rule cong :premises (@p1339 @p1322) :args (@t725)) % 0.36/0.71 (step @p1341 :rule cong :premises (@p1340) :args ((forall @t27 @t725))) % 0.36/0.71 (step @p1342 :rule refl :args (@t21)) % 0.36/0.71 (step @p1343 :rule eq-symm :args (@t19 @t4)) % 0.36/0.71 (step @p1344 :rule nary_cong :premises (@p1343 @p1342) :args (@t22)) % 0.36/0.71 (step @p1345 :rule refl :args (@t25)) % 0.36/0.71 (step @p1346 :rule cong :premises (@p1345 @p1344) :args (@t26)) % 0.36/0.71 (step @p1347 :rule cong :premises (@p1346) :args (@t28)) % 0.36/0.71 (step @p1348 :rule trans :premises (@p1347 @p1341)) % 0.36/0.71 (step @p1349 :rule refl :args (tptp.setadjoinAx)) % 0.36/0.71 (step @p1350 :rule cong :premises (@p1349 @p1348) :args (@t29)) % 0.36/0.71 (step @p1351 :rule eq_resolve :premises (@p3 @p1350)) % 0.36/0.71 (step @p1352 :rule cong :premises (@p1351 @p1321) :args (@t243)) % 0.36/0.71 (step @p1353 :rule refl :args (tptp.emptysetAx)) % 0.36/0.71 (step @p1354 :rule cong :premises (@p1353 @p468) :args (@t18)) % 0.36/0.71 (step @p1355 :rule eq_resolve :premises (@p2 @p1354)) % 0.36/0.71 (step @p1356 :rule cong :premises (@p1355 @p1352) :args (@t244)) % 0.36/0.71 (step @p1357 :rule bool-impl-elim :args (@t434 @t3)) % 0.36/0.71 (step @p1358 :rule cong :premises (@p1357) :args ((forall @t12 (=> @t434 @t3)))) % 0.36/0.71 (step @p1359 :rule cong :premises (@p191 @p359) :args (@t8)) % 0.36/0.71 (step @p1360 :rule cong :premises (@p1359) :args (@t10)) % 0.36/0.71 (step @p1361 :rule cong :premises (@p1360 @p354) :args (@t11)) % 0.36/0.71 (step @p1362 :rule cong :premises (@p1361) :args (@t13)) % 0.36/0.71 (step @p1363 :rule trans :premises (@p1362 @p1358)) % 0.36/0.71 (step @p1364 :rule refl :args (tptp.setextAx)) % 0.36/0.71 (step @p1365 :rule cong :premises (@p1364 @p1363) :args (@t14)) % 0.36/0.71 (step @p1366 :rule eq_resolve :premises (@p1 @p1365)) % 0.36/0.71 (step @p1367 :rule cong :premises (@p1366 @p1356) :args (@t245)) % 0.36/0.71 (step @p1368 :rule cong :premises (@p1367) :args (@t246)) % 0.36/0.71 (step @p1369 :rule trans :premises (@p1368 @p127)) % 0.36/0.71 (step @p1370 :rule trans :premises (@p1369 @p109)) % 0.36/0.71 (step @p1371 :rule eq_resolve :premises (@p30 @p1370)) % 0.36/0.71 (step @p1372 :rule not_implies_elim2 :premises (@p1371)) % 0.36/0.71 (step @p1373 :rule not_implies_elim2 :premises (@p1372)) % 0.36/0.71 (step @p1374 :rule not_implies_elim1 :premises (@p1373)) % 0.36/0.71 (step @p1375 :rule not_implies_elim2 :premises (@p1373)) % 0.36/0.71 (step @p1376 :rule not_implies_elim2 :premises (@p1375)) % 0.36/0.71 (step @p1377 :rule not_implies_elim2 :premises (@p1376)) % 0.36/0.71 (step @p1378 :rule not_implies_elim2 :premises (@p1377)) % 0.36/0.71 (step @p1379 :rule not_implies_elim2 :premises (@p1378)) % 0.36/0.71 (step @p1380 :rule not_implies_elim2 :premises (@p1379)) % 0.36/0.71 (step @p1381 :rule not_implies_elim2 :premises (@p1380)) % 0.36/0.71 (step @p1382 :rule not_implies_elim2 :premises (@p1381)) % 0.36/0.71 (step @p1383 :rule not_implies_elim2 :premises (@p1382)) % 0.36/0.71 (step @p1384 :rule not_implies_elim2 :premises (@p1383)) % 0.36/0.71 (step @p1385 :rule not_implies_elim2 :premises (@p1384)) % 0.36/0.71 (step @p1386 :rule not_implies_elim2 :premises (@p1385)) % 0.36/0.71 (step @p1387 :rule not_implies_elim2 :premises (@p1386)) % 0.36/0.71 (step @p1388 :rule not_implies_elim2 :premises (@p1387)) % 0.36/0.71 (step @p1389 :rule not_implies_elim2 :premises (@p1388)) % 0.36/0.71 (step @p1390 :rule not_implies_elim2 :premises (@p1389)) % 0.36/0.71 (step @p1391 :rule not_implies_elim2 :premises (@p1390)) % 0.36/0.71 (step @p1392 :rule not_implies_elim2 :premises (@p1391)) % 0.36/0.71 (step @p1393 :rule not_implies_elim2 :premises (@p1392)) % 0.36/0.71 (step @p1394 :rule not_implies_elim2 :premises (@p1393)) % 0.36/0.71 (step @p1395 :rule not_implies_elim2 :premises (@p1394)) % 0.36/0.71 (step @p1396 :rule not_implies_elim2 :premises (@p1395)) % 0.36/0.71 (step @p1397 :rule not_implies_elim2 :premises (@p1396)) % 0.36/0.71 (step @p1398 :rule not_implies_elim2 :premises (@p1397)) % 0.36/0.71 (step @p1399 :rule not_implies_elim2 :premises (@p1398)) % 0.36/0.71 (step @p1400 :rule not_implies_elim2 :premises (@p1399)) % 0.36/0.71 (step @p1401 :rule bool-eq-true :args (@t255)) % 0.36/0.71 (step @p1402 :rule absorb :args ((= (or true @t726) true))) % 0.36/0.71 (step @p1403 :rule refl :args (@t726)) % 0.36/0.71 (step @p1404 :rule nary_cong :premises (@p153 @p1403) :args (@t727)) % 0.36/0.71 (step @p1405 :rule trans :premises (@p1404 @p1402)) % 0.36/0.71 (step @p1406 :rule refl :args (@t255)) % 0.36/0.71 (step @p1407 :rule cong :premises (@p1406 @p1405) :args (@t728)) % 0.36/0.71 (step @p1408 :rule trans :premises (@p1407 @p1401)) % 0.36/0.71 (step @p1409 :rule cong :premises (@p104 @p1408) :args ((=> @t431 @t728))) % 0.36/0.71 (assume-push @p1417 @t431) % 0.36/0.71 (step @p1411 :rule instantiate :premises (@p1374) :args ((@list tptp.emptyset tptp.emptyset tptp.emptyset))) % 0.36/0.71 (step-pop @p1418 :rule scope :premises (@p1411)) % 0.36/0.71 (step @p1412 :rule process_scope :premises (@p1418) :args (@t728)) % 0.36/0.71 (step @p1414 :rule eq_resolve :premises (@p1412 @p1409)) % 0.36/0.71 (step @p1415 :rule implies_elim :premises (@p1414)) % 0.36/0.71 (step @p1416 false :rule chain_m_resolution :premises (@p1415 @p1400 @p1374) :args (false (@list true false) (@list @t255 @t431))) % 0.36/0.71 ) % 0.36/0.71 % SZS output end Proof % 0.36/0.71 % cvc5 exiting %------------------------------------------------------------------------------