%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU525^1 : 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 : n022.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:52:03 AM UTC 2026 % Result : Theorem 168.92s 169.57s % Output : Proof 168.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU525^1 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:40:38 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.51 %----Proving TH0 % 168.92/169.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 168.92/169.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 168.92/169.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 168.92/169.57 --- Run --ho-elim --full-saturate-quant at 18s... % 168.92/169.57 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 168.92/169.57 % SZS status Theorem % 168.92/169.57 % SZS output start Proof % 168.92/169.57 ( % 168.92/169.57 (declare-sort $$unsorted 0) % 168.92/169.57 (declare-const tptp.emptyset $$unsorted) % 168.92/169.57 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 168.92/169.57 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 168.92/169.57 (declare-const tptp.subPowSU Bool) % 168.92/169.57 (declare-const tptp.setunionE Bool) % 168.92/169.57 (declare-const tptp.setunionI Bool) % 168.92/169.57 (declare-const tptp.powersetE Bool) % 168.92/169.57 (declare-const tptp.emptyInPowerset Bool) % 168.92/169.57 (declare-const tptp.setoftrueEq Bool) % 168.92/169.57 (declare-const tptp.setadjoinOr Bool) % 168.92/169.57 (declare-const tptp.setadjoinE Bool) % 168.92/169.57 (declare-const tptp.emptyinunitempty Bool) % 168.92/169.57 (declare-const tptp.nonemptyI1 Bool) % 168.92/169.57 (declare-const tptp.nonemptyI Bool) % 168.92/169.57 (declare-const tptp.nonemptyE1 Bool) % 168.92/169.57 (declare-const tptp.noeltsimpempty Bool) % 168.92/169.57 (declare-const tptp.emptyI Bool) % 168.92/169.57 (declare-const tptp.omegaIndAx Bool) % 168.92/169.57 (declare-const tptp.emptysetE Bool) % 168.92/169.57 (declare-const tptp.setunionAx Bool) % 168.92/169.57 (declare-const tptp.omega0Ax Bool) % 168.92/169.57 (declare-const tptp.setadjoinIR Bool) % 168.92/169.57 (declare-const tptp.notinemptyset Bool) % 168.92/169.57 (declare-const tptp.setadjoinIL Bool) % 168.92/169.57 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 168.92/169.57 (declare-const tptp.setadjoinAx Bool) % 168.92/169.57 (declare-const tptp.powersetI Bool) % 168.92/169.57 (declare-const tptp.setbeta Bool) % 168.92/169.57 (declare-const tptp.dsetconstrER Bool) % 168.92/169.57 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 168.92/169.57 (declare-const tptp.foundationAx Bool) % 168.92/169.57 (declare-const tptp.setextAx Bool) % 168.92/169.57 (declare-const tptp.powersetAx Bool) % 168.92/169.57 (declare-const tptp.omegaSAx Bool) % 168.92/169.57 (declare-const tptp.setext Bool) % 168.92/169.57 (declare-const tptp.replAx Bool) % 168.92/169.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 168.92/169.57 (declare-const tptp.emptysetimpfalse Bool) % 168.92/169.57 (declare-const tptp.wellorderingAx Bool) % 168.92/169.57 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 168.92/169.57 (declare-const tptp.emptyinPowerset Bool) % 168.92/169.57 (declare-const tptp.exuE1 Bool) % 168.92/169.57 (declare-const tptp.descrp Bool) % 168.92/169.57 (declare-const tptp.dsetconstrI Bool) % 168.92/169.57 (declare-const tptp.emptysetAx Bool) % 168.92/169.57 (declare-const tptp.dsetconstrEL Bool) % 168.92/169.57 (declare-const tptp.omega $$unsorted) % 168.92/169.57 (declare-const tptp.exuE3e Bool) % 168.92/169.57 (declare-const tptp.prop2setE Bool) % 168.92/169.57 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 168.92/169.57 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 168.92/169.57 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 168.92/169.57 (define @t1 () (@var "B" $$unsorted)) % 168.92/169.57 (define @t2 () (@var "A" $$unsorted)) % 168.92/169.57 (define @t3 () (= @t2 @t1)) % 168.92/169.57 (define @t4 () (@var "Xx" $$unsorted)) % 168.92/169.57 (define @t5 () (_ tptp.in @t4)) % 168.92/169.57 (define @t6 () (_ @t5 @t1)) % 168.92/169.57 (define @t7 () (_ @t5 @t2)) % 168.92/169.57 (define @t8 () (= @t7 @t6)) % 168.92/169.57 (define @t9 () (@list @t4)) % 168.92/169.57 (define @t10 () (forall @t9 @t8)) % 168.92/169.57 (define @t11 () (=> @t10 @t3)) % 168.92/169.57 (define @t12 () (@list @t2 @t1)) % 168.92/169.57 (define @t13 () (forall @t12 @t11)) % 168.92/169.57 (define @t14 () (= tptp.setextAx @t13)) % 168.92/169.57 (define @t15 () (_ @t5 tptp.emptyset)) % 168.92/169.57 (define @t16 () (not @t15)) % 168.92/169.57 (define @t17 () (forall @t9 @t16)) % 168.92/169.57 (define @t18 () (= tptp.emptysetAx @t17)) % 168.92/169.57 (define @t19 () (@var "Xy" $$unsorted)) % 168.92/169.57 (define @t20 () (_ tptp.in @t19)) % 168.92/169.57 (define @t21 () (_ @t20 @t2)) % 168.92/169.57 (define @t22 () (= @t19 @t4)) % 168.92/169.57 (define @t23 () (or @t22 @t21)) % 168.92/169.57 (define @t24 () (_ tptp.setadjoin @t4)) % 168.92/169.57 (define @t25 () (_ @t24 @t2)) % 168.92/169.57 (define @t26 () (_ @t20 @t25)) % 168.92/169.57 (define @t27 () (= @t26 @t23)) % 168.92/169.57 (define @t28 () (@list @t4 @t2 @t19)) % 168.92/169.57 (define @t29 () (forall @t28 @t27)) % 168.92/169.57 (define @t30 () (= tptp.setadjoinAx @t29)) % 168.92/169.57 (define @t31 () (=> @t6 @t7)) % 168.92/169.57 (define @t32 () (forall @t9 @t31)) % 168.92/169.57 (define @t33 () (_ tptp.powerset @t2)) % 168.92/169.57 (define @t34 () (_ tptp.in @t1)) % 168.92/169.57 (define @t35 () (_ @t34 @t33)) % 168.92/169.57 (define @t36 () (= @t35 @t32)) % 168.92/169.57 (define @t37 () (forall @t12 @t36)) % 168.92/169.57 (define @t38 () (= tptp.powersetAx @t37)) % 168.92/169.57 (define @t39 () (_ @t34 @t2)) % 168.92/169.57 (define @t40 () (and @t6 @t39)) % 168.92/169.57 (define @t41 () (@list @t1)) % 168.92/169.57 (define @t42 () (exists @t41 @t40)) % 168.92/169.57 (define @t43 () (_ tptp.setunion @t2)) % 168.92/169.57 (define @t44 () (_ @t5 @t43)) % 168.92/169.57 (define @t45 () (= @t44 @t42)) % 168.92/169.57 (define @t46 () (@list @t2 @t4)) % 168.92/169.57 (define @t47 () (forall @t46 @t45)) % 168.92/169.57 (define @t48 () (= tptp.setunionAx @t47)) % 168.92/169.57 (define @t49 () (_ tptp.in tptp.emptyset)) % 168.92/169.57 (define @t50 () (_ @t49 tptp.omega)) % 168.92/169.57 (define @t51 () (_ @t24 @t4)) % 168.92/169.57 (define @t52 () (_ tptp.in @t51)) % 168.92/169.57 (define @t53 () (_ @t52 tptp.omega)) % 168.92/169.57 (define @t54 () (_ @t5 tptp.omega)) % 168.92/169.57 (define @t55 () (forall @t9 (=> @t54 @t53))) % 168.92/169.57 (define @t56 () (= tptp.omegaSAx @t55)) % 168.92/169.57 (define @t57 () (forall @t9 (=> @t54 @t7))) % 168.92/169.57 (define @t58 () (_ @t52 @t2)) % 168.92/169.57 (define @t59 () (and @t54 @t7)) % 168.92/169.57 (define @t60 () (forall @t9 (=> @t59 @t58))) % 168.92/169.57 (define @t61 () (_ @t49 @t2)) % 168.92/169.57 (define @t62 () (and @t61 @t60)) % 168.92/169.57 (define @t63 () (=> @t62 @t57)) % 168.92/169.57 (define @t64 () (@list @t2)) % 168.92/169.57 (define @t65 () (forall @t64 @t63)) % 168.92/169.57 (define @t66 () (= tptp.omegaIndAx @t65)) % 168.92/169.57 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 168.92/169.57 (define @t68 () (_ (_ @t67 @t19) @t4)) % 168.92/169.57 (define @t69 () (and @t21 @t68)) % 168.92/169.57 (define @t70 () (@list @t19)) % 168.92/169.57 (define @t71 () (exists @t70 @t69)) % 168.92/169.57 (define @t72 () (= @t6 @t71)) % 168.92/169.57 (define @t73 () (forall @t9 @t72)) % 168.92/169.57 (define @t74 () (exists @t41 @t73)) % 168.92/169.57 (define @t75 () (_ @t67 @t4)) % 168.92/169.57 (define @t76 () (_ @t75 @t19)) % 168.92/169.57 (define @t77 () (lambda @t70 @t76)) % 168.92/169.57 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 168.92/169.57 (define @t79 () (forall @t9 @t78)) % 168.92/169.57 (define @t80 () (=> @t79 @t74)) % 168.92/169.57 (define @t81 () (@list @t67 @t2)) % 168.92/169.57 (define @t82 () (forall @t81 @t80)) % 168.92/169.57 (define @t83 () (= tptp.replAx @t82)) % 168.92/169.57 (define @t84 () (and @t6 @t7)) % 168.92/169.57 (define @t85 () (exists @t9 @t84)) % 168.92/169.57 (define @t86 () (not @t85)) % 168.92/169.57 (define @t87 () (and @t39 @t86)) % 168.92/169.57 (define @t88 () (exists @t41 @t87)) % 168.92/169.57 (define @t89 () (exists @t9 @t7)) % 168.92/169.57 (define @t90 () (=> @t89 @t88)) % 168.92/169.57 (define @t91 () (forall @t64 @t90)) % 168.92/169.57 (define @t92 () (= tptp.foundationAx @t91)) % 168.92/169.57 (define @t93 () (@var "E" $$unsorted)) % 168.92/169.57 (define @t94 () (_ @t5 @t93)) % 168.92/169.57 (define @t95 () (@var "D" $$unsorted)) % 168.92/169.57 (define @t96 () (_ @t20 @t95)) % 168.92/169.57 (define @t97 () (_ @t20 @t93)) % 168.92/169.57 (define @t98 () (forall @t70 (=> @t97 @t96))) % 168.92/169.57 (define @t99 () (or @t98 @t94)) % 168.92/169.57 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 168.92/169.57 (define @t101 () (=> @t100 @t99)) % 168.92/169.57 (define @t102 () (@list @t93)) % 168.92/169.57 (define @t103 () (forall @t102 @t101)) % 168.92/169.57 (define @t104 () (@var "C" $$unsorted)) % 168.92/169.57 (define @t105 () (_ @t20 @t104)) % 168.92/169.57 (define @t106 () (and @t96 @t105)) % 168.92/169.57 (define @t107 () (exists @t70 @t106)) % 168.92/169.57 (define @t108 () (not @t107)) % 168.92/169.57 (define @t109 () (_ @t5 @t104)) % 168.92/169.57 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 168.92/169.57 (define @t111 () (and @t110 @t109 @t108 @t103)) % 168.92/169.57 (define @t112 () (@list @t95 @t4)) % 168.92/169.57 (define @t113 () (exists @t112 @t111)) % 168.92/169.57 (define @t114 () (exists @t9 @t109)) % 168.92/169.57 (define @t115 () (forall @t9 (=> @t109 @t7))) % 168.92/169.57 (define @t116 () (and @t115 @t114)) % 168.92/169.57 (define @t117 () (=> @t116 @t113)) % 168.92/169.57 (define @t118 () (@list @t104)) % 168.92/169.57 (define @t119 () (forall @t118 @t117)) % 168.92/169.57 (define @t120 () (_ @t5 @t95)) % 168.92/169.57 (define @t121 () (forall @t9 (=> @t120 @t109))) % 168.92/169.57 (define @t122 () (forall @t9 (=> @t109 @t120))) % 168.92/169.57 (define @t123 () (or @t122 @t121)) % 168.92/169.57 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 168.92/169.57 (define @t125 () (and @t124 @t110)) % 168.92/169.57 (define @t126 () (=> @t125 @t123)) % 168.92/169.57 (define @t127 () (@list @t104 @t95)) % 168.92/169.57 (define @t128 () (forall @t127 @t126)) % 168.92/169.57 (define @t129 () (= @t4 @t19)) % 168.92/169.57 (define @t130 () (= @t109 @t105)) % 168.92/169.57 (define @t131 () (forall @t118 (=> @t124 @t130))) % 168.92/169.57 (define @t132 () (=> @t131 @t129)) % 168.92/169.57 (define @t133 () (and @t7 @t21)) % 168.92/169.57 (define @t134 () (=> @t133 @t132)) % 168.92/169.57 (define @t135 () (@list @t4 @t19)) % 168.92/169.57 (define @t136 () (forall @t135 @t134)) % 168.92/169.57 (define @t137 () (=> @t124 @t115)) % 168.92/169.57 (define @t138 () (forall @t118 @t137)) % 168.92/169.57 (define @t139 () (and @t138 @t136 @t128 @t119)) % 168.92/169.57 (define @t140 () (exists @t41 @t139)) % 168.92/169.57 (define @t141 () (forall @t64 @t140)) % 168.92/169.57 (define @t142 () (= tptp.wellorderingAx @t141)) % 168.92/169.57 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 168.92/169.57 (define @t144 () (_ @t143 @t4)) % 168.92/169.57 (define @t145 () (lambda @t9 @t144)) % 168.92/169.57 (define @t146 () (_ tptp.descr @t145)) % 168.92/169.57 (define @t147 () (_ @t143 @t146)) % 168.92/169.57 (define @t148 () (_ tptp.exu @t145)) % 168.92/169.57 (define @t149 () (=> @t148 @t147)) % 168.92/169.57 (define @t150 () (@list @t143)) % 168.92/169.57 (define @t151 () (forall @t150 @t149)) % 168.92/169.57 (define @t152 () (= tptp.descrp @t151)) % 168.92/169.57 (define @t153 () (_ @t143 @t19)) % 168.92/169.57 (define @t154 () (lambda @t70 @t153)) % 168.92/169.57 (define @t155 () (_ tptp.dsetconstr @t2)) % 168.92/169.57 (define @t156 () (_ @t155 @t154)) % 168.92/169.57 (define @t157 () (_ @t5 @t156)) % 168.92/169.57 (define @t158 () (=> @t144 @t157)) % 168.92/169.57 (define @t159 () (@list @t2 @t143 @t4)) % 168.92/169.57 (define @t160 () (forall @t159 (=> @t7 @t158))) % 168.92/169.57 (define @t161 () (= tptp.dsetconstrI @t160)) % 168.92/169.57 (define @t162 () (forall @t159 (=> @t157 @t7))) % 168.92/169.57 (define @t163 () (= tptp.dsetconstrEL @t162)) % 168.92/169.57 (define @t164 () (forall @t159 (=> @t157 @t144))) % 168.92/169.57 (define @t165 () (= tptp.dsetconstrER @t164)) % 168.92/169.57 (define @t166 () (forall @t70 (=> @t153 @t129))) % 168.92/169.57 (define @t167 () (and @t144 @t166)) % 168.92/169.57 (define @t168 () (exists @t9 @t167)) % 168.92/169.57 (define @t169 () (=> @t148 @t168)) % 168.92/169.57 (define @t170 () (forall @t150 @t169)) % 168.92/169.57 (define @t171 () (= tptp.exuE1 @t170)) % 168.92/169.57 (define @t172 () (@var "Xphi" Bool)) % 168.92/169.57 (define @t173 () (=> (_ @t5 (_ tptp.prop2set @t172)) @t172)) % 168.92/169.57 (define @t174 () (@list @t172 @t4)) % 168.92/169.57 (define @t175 () (forall @t174 @t173)) % 168.92/169.57 (define @t176 () (= tptp.prop2setE @t175)) % 168.92/169.57 (define @t177 () (@list @t172)) % 168.92/169.57 (define @t178 () (forall @t177 @t172)) % 168.92/169.57 (define @t179 () (=> @t15 @t178)) % 168.92/169.57 (define @t180 () (forall @t9 @t179)) % 168.92/169.57 (define @t181 () (= tptp.emptysetE @t180)) % 168.92/169.57 (define @t182 () (forall @t9 (=> @t15 false))) % 168.92/169.57 (define @t183 () (= tptp.emptysetimpfalse @t182)) % 168.92/169.57 (define @t184 () (exists @t9 @t144)) % 168.92/169.57 (define @t185 () (=> @t148 @t184)) % 168.92/169.57 (define @t186 () (forall @t150 @t185)) % 168.92/169.57 (define @t187 () (= tptp.exuE3e @t186)) % 168.92/169.57 (define @t188 () (=> @t32 @t3)) % 168.92/169.57 (define @t189 () (forall @t9 (=> @t7 @t6))) % 168.92/169.57 (define @t190 () (=> @t189 @t188)) % 168.92/169.57 (define @t191 () (forall @t12 @t190)) % 168.92/169.57 (define @t192 () (= tptp.setext @t191)) % 168.92/169.57 (define @t193 () (= @t2 tptp.emptyset)) % 168.92/169.57 (define @t194 () (not @t7)) % 168.92/169.57 (define @t195 () (forall @t9 @t194)) % 168.92/169.57 (define @t196 () (=> @t195 @t193)) % 168.92/169.57 (define @t197 () (forall @t64 @t196)) % 168.92/169.57 (define @t198 () (= tptp.emptyI @t197)) % 168.92/169.57 (define @t199 () (=> @t7 (= @t157 @t144))) % 168.92/169.57 (define @t200 () (forall @t159 @t199)) % 168.92/169.57 (define @t201 () (= tptp.setbeta @t200)) % 168.92/169.57 (define @t202 () (_ tptp.nonempty @t2)) % 168.92/169.57 (define @t203 () (=> @t202 @t89)) % 168.92/169.57 (define @t204 () (forall @t64 @t203)) % 168.92/169.57 (define @t205 () (= tptp.nonemptyE1 @t204)) % 168.92/169.57 (define @t206 () (=> @t144 (_ tptp.nonempty @t156))) % 168.92/169.57 (define @t207 () (=> @t7 @t206)) % 168.92/169.57 (define @t208 () (forall @t159 @t207)) % 168.92/169.57 (define @t209 () (= tptp.nonemptyI @t208)) % 168.92/169.57 (define @t210 () (=> @t89 @t202)) % 168.92/169.57 (define @t211 () (forall @t64 @t210)) % 168.92/169.57 (define @t212 () (= tptp.nonemptyI1 @t211)) % 168.92/169.57 (define @t213 () (_ @t24 @t19)) % 168.92/169.57 (define @t214 () (_ @t5 @t213)) % 168.92/169.57 (define @t215 () (forall @t135 @t214)) % 168.92/169.57 (define @t216 () (= tptp.setadjoinIL @t215)) % 168.92/169.57 (define @t217 () (_ @t49 (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset))) % 168.92/169.57 (define @t218 () (forall @t28 (=> @t21 @t26))) % 168.92/169.57 (define @t219 () (= tptp.setadjoinIR @t218)) % 168.92/169.57 (define @t220 () (=> @t21 @t172)) % 168.92/169.57 (define @t221 () (=> @t220 @t172)) % 168.92/169.57 (define @t222 () (=> @t22 @t172)) % 168.92/169.57 (define @t223 () (=> @t222 @t221)) % 168.92/169.57 (define @t224 () (forall @t177 @t223)) % 168.92/169.57 (define @t225 () (=> @t26 @t224)) % 168.92/169.57 (define @t226 () (forall @t28 @t225)) % 168.92/169.57 (define @t227 () (= tptp.setadjoinE @t226)) % 168.92/169.57 (define @t228 () (=> @t26 @t23)) % 168.92/169.57 (define @t229 () (forall @t28 @t228)) % 168.92/169.57 (define @t230 () (= tptp.setadjoinOr @t229)) % 168.92/169.57 (define @t231 () (lambda @t9 true)) % 168.92/169.57 (define @t232 () (= (_ @t155 @t231) @t2)) % 168.92/169.57 (define @t233 () (forall @t64 @t232)) % 168.92/169.57 (define @t234 () (= tptp.setoftrueEq @t233)) % 168.92/169.57 (define @t235 () (=> @t32 @t35)) % 168.92/169.57 (define @t236 () (forall @t12 @t235)) % 168.92/169.57 (define @t237 () (= tptp.powersetI @t236)) % 168.92/169.57 (define @t238 () (_ @t49 @t33)) % 168.92/169.57 (define @t239 () (forall @t64 @t238)) % 168.92/169.57 (define @t240 () (= tptp.emptyinPowerset @t239)) % 168.92/169.57 (define @t241 () (@list @t2 @t1 @t4)) % 168.92/169.57 (define @t242 () (forall @t241 (=> @t35 @t31))) % 168.92/169.57 (define @t243 () (= tptp.powersetE @t242)) % 168.92/169.57 (define @t244 () (=> @t39 @t44)) % 168.92/169.57 (define @t245 () (@list @t2 @t4 @t1)) % 168.92/169.57 (define @t246 () (forall @t245 (=> @t6 @t244))) % 168.92/169.57 (define @t247 () (= tptp.setunionI @t246)) % 168.92/169.57 (define @t248 () (=> @t39 @t172)) % 168.92/169.57 (define @t249 () (forall @t41 (=> @t6 @t248))) % 168.92/169.57 (define @t250 () (=> @t249 @t172)) % 168.92/169.57 (define @t251 () (forall @t177 @t250)) % 168.92/169.57 (define @t252 () (=> @t44 @t251)) % 168.92/169.57 (define @t253 () (forall @t46 @t252)) % 168.92/169.57 (define @t254 () (= tptp.setunionE @t253)) % 168.92/169.57 (define @t255 () (_ tptp.powerset @t43)) % 168.92/169.57 (define @t256 () (_ @t5 @t255)) % 168.92/169.57 (define @t257 () (forall @t46 (=> @t7 @t256))) % 168.92/169.57 (define @t258 () (= tptp.subPowSU @t257)) % 168.92/169.57 (define @t259 () (= @t153 @t22)) % 168.92/169.57 (define @t260 () (forall @t70 @t259)) % 168.92/169.57 (define @t261 () (exists @t9 @t260)) % 168.92/169.57 (define @t262 () (=> @t148 @t261)) % 168.92/169.57 (define @t263 () (forall @t150 @t262)) % 168.92/169.57 (define @t264 () (=> tptp.subPowSU @t263)) % 168.92/169.57 (define @t265 () (=> tptp.setunionE @t264)) % 168.92/169.57 (define @t266 () (=> tptp.setunionI @t265)) % 168.92/169.57 (define @t267 () (=> tptp.powersetE @t266)) % 168.92/169.57 (define @t268 () (=> tptp.emptyInPowerset @t267)) % 168.92/169.57 (define @t269 () (=> tptp.emptyinPowerset @t268)) % 168.92/169.57 (define @t270 () (=> tptp.powersetI @t269)) % 168.92/169.57 (define @t271 () (=> tptp.setoftrueEq @t270)) % 168.92/169.57 (define @t272 () (=> tptp.setadjoinOr @t271)) % 168.92/169.57 (define @t273 () (=> tptp.setadjoinE @t272)) % 168.92/169.57 (define @t274 () (=> tptp.setadjoinIR @t273)) % 168.92/169.57 (define @t275 () (=> tptp.emptyinunitempty @t274)) % 168.92/169.57 (define @t276 () (=> tptp.setadjoinIL @t275)) % 168.92/169.57 (define @t277 () (=> tptp.nonemptyI1 @t276)) % 168.92/169.57 (define @t278 () (=> tptp.nonemptyI @t277)) % 168.92/169.57 (define @t279 () (=> tptp.nonemptyE1 @t278)) % 168.92/169.57 (define @t280 () (=> tptp.setbeta @t279)) % 168.92/169.57 (define @t281 () (=> tptp.noeltsimpempty @t280)) % 168.92/169.57 (define @t282 () (=> tptp.emptyI @t281)) % 168.92/169.57 (define @t283 () (=> tptp.setext @t282)) % 168.92/169.57 (define @t284 () (=> tptp.exuE3e @t283)) % 168.92/169.57 (define @t285 () (=> tptp.notinemptyset @t284)) % 168.92/169.57 (define @t286 () (=> tptp.emptysetimpfalse @t285)) % 168.92/169.57 (define @t287 () (=> tptp.emptysetE @t286)) % 168.92/169.57 (define @t288 () (=> tptp.prop2setE @t287)) % 168.92/169.57 (define @t289 () (=> tptp.exuE1 @t288)) % 168.92/169.57 (define @t290 () (=> tptp.dsetconstrER @t289)) % 168.92/169.57 (define @t291 () (=> tptp.dsetconstrEL @t290)) % 168.92/169.57 (define @t292 () (=> tptp.dsetconstrI @t291)) % 168.92/169.57 (define @t293 () (=> tptp.descrp @t292)) % 168.92/169.57 (define @t294 () (=> tptp.wellorderingAx @t293)) % 168.92/169.57 (define @t295 () (=> tptp.foundationAx @t294)) % 168.92/169.57 (define @t296 () (=> tptp.replAx @t295)) % 168.92/169.57 (define @t297 () (=> tptp.omegaIndAx @t296)) % 168.92/169.57 (define @t298 () (=> tptp.omegaSAx @t297)) % 168.92/169.57 (define @t299 () (=> tptp.omega0Ax @t298)) % 168.92/169.57 (define @t300 () (=> tptp.setunionAx @t299)) % 168.92/169.57 (define @t301 () (=> tptp.powersetAx @t300)) % 168.92/169.57 (define @t302 () (=> tptp.setadjoinAx @t301)) % 168.92/169.57 (define @t303 () (=> tptp.emptysetAx @t302)) % 168.92/169.57 (define @t304 () (=> tptp.setextAx @t303)) % 168.92/169.57 (define @t305 () (not @t304)) % 168.92/169.57 (define @t306 () (lambda @t150 @t168)) % 168.92/169.57 (define @t307 () (lambda @t9 @t172)) % 168.92/169.57 (define @t308 () (_ tptp.powerset tptp.emptyset)) % 168.92/169.57 (define @t309 () (_ tptp.dsetconstr @t308)) % 168.92/169.57 (define @t310 () (_ @t309 @t307)) % 168.92/169.57 (define @t311 () (lambda @t177 @t310)) % 168.92/169.57 (define @t312 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 168.92/169.57 (define @t313 () (@var "BOUND_VARIABLE_8731" $$unsorted)) % 168.92/169.57 (define @t314 () (= @t19 @t313)) % 168.92/169.57 (define @t315 () (@var "BOUND_VARIABLE_9281" (@ho-elim-sort (-> $$unsorted Bool)))) % 168.92/169.57 (define @t316 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 168.92/169.57 (define @t317 () (_ @t316 @t315 @t19)) % 168.92/169.57 (define @t318 () (not @t317)) % 168.92/169.57 (define @t319 () (forall (@list @t315 @t313) (or (not (forall @t9 (not (forall @t70 (= @t129 @t317))))) (not (_ @t316 @t315 @t313)) (not (forall @t70 (or @t318 @t314)))))) % 168.92/169.57 (define @t320 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 168.92/169.57 (define @t321 () (_ @t320 (@const 1 (@ho-elim-sort (-> $$unsorted $$unsorted))) @t2)) % 168.92/169.57 (define @t322 () (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 168.92/169.57 (define @t323 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 168.92/169.57 (define @t324 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 168.92/169.57 (define @t325 () (_ @t324 @t323 @t4)) % 168.92/169.57 (define @t326 () (_ @t316 @t325 @t2)) % 168.92/169.57 (define @t327 () (not @t326)) % 168.92/169.57 (define @t328 () (_ @t324 @t323 @t1)) % 168.92/169.57 (define @t329 () (not (_ @t316 @t328 @t2))) % 168.92/169.57 (define @t330 () (_ @t316 @t325 @t1)) % 168.92/169.57 (define @t331 () (not @t330)) % 168.92/169.57 (define @t332 () (not (forall @t41 (or @t331 @t329)))) % 168.92/169.57 (define @t333 () (_ @t316 @t325 @t321)) % 168.92/169.57 (define @t334 () (_ @t320 @t322 @t2)) % 168.92/169.57 (define @t335 () (_ @t316 @t328 @t334)) % 168.92/169.57 (define @t336 () (_ @t324 @t323 tptp.emptyset)) % 168.92/169.57 (define @t337 () (forall @t64 (_ @t316 @t336 @t334))) % 168.92/169.57 (define @t338 () (forall @t9 (or @t331 @t326))) % 168.92/169.57 (define @t339 () (not @t338)) % 168.92/169.57 (define @t340 () (@const 7 (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)))) % 168.92/169.57 (define @t341 () (@const 8 (-> (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) $$unsorted (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))))) % 168.92/169.57 (define @t342 () (_ @t341 @t340 @t2)) % 168.92/169.57 (define @t343 () (@const 9 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))) % 168.92/169.57 (define @t344 () (_ @t324 @t323 @t19)) % 168.92/169.57 (define @t345 () (_ @t316 @t344 @t2)) % 168.92/169.57 (define @t346 () (@const 10 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)))) % 168.92/169.57 (define @t347 () (@const 11 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted))))) % 168.92/169.57 (define @t348 () (_ @t347 @t346 @t4)) % 168.92/169.57 (define @t349 () (_ @t316 @t344 (_ @t320 @t348 @t2))) % 168.92/169.57 (define @t350 () (forall @t28 (or (not @t349) @t129 @t345))) % 168.92/169.57 (define @t351 () (not @t345)) % 168.92/169.57 (define @t352 () (@var "BOUND_VARIABLE_8531" $$unsorted)) % 168.92/169.57 (define @t353 () (@list @t352)) % 168.92/169.57 (define @t354 () (_ @t343 @t342 @t315)) % 168.92/169.57 (define @t355 () (_ @t316 @t315 @t4)) % 168.92/169.57 (define @t356 () (not @t355)) % 168.92/169.57 (define @t357 () (@list @t2 @t315 @t4)) % 168.92/169.57 (define @t358 () (not (forall @t9 @t327))) % 168.92/169.57 (define @t359 () (_ @t316 @t325 @t354)) % 168.92/169.57 (define @t360 () (forall @t64 (or @t358 @t193))) % 168.92/169.57 (define @t361 () (@var "BOUND_VARIABLE_8428" $$unsorted)) % 168.92/169.57 (define @t362 () (= @t19 @t361)) % 168.92/169.57 (define @t363 () (forall @t9 (not (_ @t316 @t325 tptp.emptyset)))) % 168.92/169.57 (define @t364 () (not @t359)) % 168.92/169.57 (define @t365 () (@var "BOUND_VARIABLE_8299" $$unsorted)) % 168.92/169.57 (define @t366 () (= @t19 @t365)) % 168.92/169.57 (define @t367 () (=> (forall (@list @t315 @t365) (or (_ @t316 @t315 (_ @t343 (@const 13 (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))) @t315)) (not (_ @t316 @t315 @t365)) (not (forall @t70 (or @t318 @t366))))) (=> (forall @t357 (or @t327 @t356 @t359)) (=> (forall @t357 (or @t364 @t326)) (=> (forall @t357 (or @t364 @t355)) (=> (forall @t9 (not (_ @t316 @t325 (_ @t343 (_ @t341 @t340 (_ @t320 @t322 tptp.emptyset)) (@const 12 (@ho-elim-sort (-> $$unsorted Bool))))))) (=> @t363 (=> @t363 (=> @t363 (=> (forall (@list @t315 @t361) (or (not (forall @t9 @t356)) (not (_ @t316 @t315 @t361)) (not (forall @t70 (or @t318 @t362))))) (=> (forall @t12 (or (not (forall @t9 (or @t327 @t330))) @t339 @t3)) (=> @t360 (=> @t360 (=> (forall @t357 (or @t327 (= @t355 @t359))) (=> (forall @t64 (or @t193 @t358)) (=> (forall @t357 (or @t327 @t356 (not (= tptp.emptyset @t354)))) (=> (forall @t353 (not (_ @t316 (_ @t324 @t323 @t352) tptp.emptyset))) (=> (forall @t135 (_ @t316 @t325 (_ @t320 @t348 @t19))) (=> (_ @t316 @t336 (_ @t320 (_ @t347 @t346 tptp.emptyset) tptp.emptyset)) (=> (forall @t28 (or @t351 @t349)) (=> @t350 (=> @t350 (=> (forall @t64 (= @t2 (_ @t343 @t342 (@const 6 (@ho-elim-sort (-> $$unsorted Bool)))))) (=> (forall @t12 (or @t339 @t335)) (=> @t337 (=> @t337 (=> (forall @t241 (or (not @t335) @t331 @t326)) (=> (forall @t245 (or @t331 @t329 @t333)) (=> (forall @t46 (or (not @t333) @t332)) (=> (forall @t46 (or @t327 (_ @t316 @t325 (_ @t320 @t322 @t321)))) @t319)))))))))))))))))))))))))))))) % 168.92/169.57 (define @t368 () (@var "BOUND_VARIABLE_8219" $$unsorted)) % 168.92/169.57 (define @t369 () (_ @t324 @t323 @t368)) % 168.92/169.57 (define @t370 () (@list @t93 @t368)) % 168.92/169.57 (define @t371 () (_ @t316 @t344 @t104)) % 168.92/169.57 (define @t372 () (_ @t316 @t325 @t104)) % 168.92/169.57 (define @t373 () (not @t372)) % 168.92/169.57 (define @t374 () (not (_ @t316 (_ @t324 @t323 @t95) @t1))) % 168.92/169.57 (define @t375 () (@var "BOUND_VARIABLE_8248" $$unsorted)) % 168.92/169.57 (define @t376 () (@list @t104 @t375)) % 168.92/169.57 (define @t377 () (not (forall @t376 (or (not (forall @t9 (or @t373 @t326))) (not (_ @t316 (_ @t324 @t323 @t375) @t104)) (not (forall @t112 (or @t374 @t373 (not (forall @t70 (or (not (_ @t316 @t344 @t95)) (not @t371)))) (not (forall @t370 (or (not (_ @t316 (_ @t324 @t323 @t93) @t1)) (_ @t316 @t325 @t93) (not (_ @t316 @t369 @t93)) (_ @t316 @t369 @t95))))))))))) % 168.92/169.57 (define @t378 () (@var "BOUND_VARIABLE_8171" $$unsorted)) % 168.92/169.57 (define @t379 () (_ @t324 @t323 @t378)) % 168.92/169.57 (define @t380 () (@var "BOUND_VARIABLE_8165" $$unsorted)) % 168.92/169.57 (define @t381 () (_ @t324 @t323 @t380)) % 168.92/169.57 (define @t382 () (not (_ @t316 (_ @t324 @t323 @t104) @t1))) % 168.92/169.57 (define @t383 () (@list @t104 @t95 @t380 @t378)) % 168.92/169.57 (define @t384 () (not (forall @t383 (or @t382 @t374 (not (_ @t316 @t381 @t104)) (_ @t316 @t381 @t95) (not (_ @t316 @t379 @t95)) (_ @t316 @t379 @t104))))) % 168.92/169.57 (define @t385 () (or @t382 (= @t372 @t371))) % 168.92/169.57 (define @t386 () (forall @t118 @t385)) % 168.92/169.57 (define @t387 () (not @t386)) % 168.92/169.57 (define @t388 () (or @t327 @t351 @t387 @t129)) % 168.92/169.57 (define @t389 () (forall @t135 @t388)) % 168.92/169.57 (define @t390 () (not @t389)) % 168.92/169.57 (define @t391 () (@var "BOUND_VARIABLE_8114" $$unsorted)) % 168.92/169.57 (define @t392 () (_ @t324 @t323 @t391)) % 168.92/169.57 (define @t393 () (@list @t104 @t391)) % 168.92/169.57 (define @t394 () (not (forall @t393 (or @t382 (not (_ @t316 @t392 @t104)) (_ @t316 @t392 @t2))))) % 168.92/169.57 (define @t395 () (or @t394 @t390 @t384 @t377)) % 168.92/169.57 (define @t396 () (forall @t41 @t395)) % 168.92/169.57 (define @t397 () (not @t396)) % 168.92/169.57 (define @t398 () (forall @t64 @t397)) % 168.92/169.57 (define @t399 () (=> @t398 @t367)) % 168.92/169.57 (define @t400 () (@var "BOUND_VARIABLE_8089" $$unsorted)) % 168.92/169.57 (define @t401 () (@list @t2 @t400)) % 168.92/169.57 (define @t402 () (forall @t401 (or (not (_ @t316 (_ @t324 @t323 @t400) @t2)) (not (forall @t41 (or @t329 (not (forall @t9 (or @t331 @t327))))))))) % 168.92/169.57 (define @t403 () (=> @t402 @t399)) % 168.92/169.57 (define @t404 () (@var "BOUND_VARIABLE_9580" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 168.92/169.57 (define @t405 () (@var "BOUND_VARIABLE_7979" $$unsorted)) % 168.92/169.57 (define @t406 () (= @t19 @t405)) % 168.92/169.57 (define @t407 () (_ @t324 @t404 @t4)) % 168.92/169.57 (define @t408 () (@list @t405)) % 168.92/169.57 (define @t409 () (forall (@list @t404 @t2) (or (not (forall @t9 (or @t327 (not (forall @t408 (or (not (_ @t316 @t407 @t405)) (not (forall @t70 (or (not (_ @t316 @t407 @t19)) @t406))))))))) (not (forall @t41 (not (forall @t9 (= @t330 (not (forall @t70 (or @t351 (not (_ @t316 (_ @t324 @t404 @t19) @t4))))))))))))) % 168.92/169.57 (define @t410 () (=> @t409 @t403)) % 168.92/169.57 (define @t411 () (@var "BOUND_VARIABLE_7960" $$unsorted)) % 168.92/169.57 (define @t412 () (_ @t324 @t323 @t411)) % 168.92/169.57 (define @t413 () (_ @t324 @t323 (_ @t320 @t348 @t4))) % 168.92/169.57 (define @t414 () (not (_ @t316 @t325 tptp.omega))) % 168.92/169.57 (define @t415 () (@list @t2 @t411)) % 168.92/169.57 (define @t416 () (forall @t415 (or (not (_ @t316 @t336 @t2)) (not (forall @t9 (or @t414 @t327 (_ @t316 @t413 @t2)))) (not (_ @t316 @t412 tptp.omega)) (_ @t316 @t412 @t2)))) % 168.92/169.57 (define @t417 () (=> @t416 @t410)) % 168.92/169.57 (define @t418 () (forall @t9 (or @t414 (_ @t316 @t413 tptp.omega)))) % 168.92/169.57 (define @t419 () (=> @t418 @t417)) % 168.92/169.57 (define @t420 () (_ @t316 @t336 tptp.omega)) % 168.92/169.57 (define @t421 () (=> @t420 @t419)) % 168.92/169.57 (define @t422 () (forall @t46 (= @t332 @t333))) % 168.92/169.57 (define @t423 () (=> @t422 @t421)) % 168.92/169.57 (define @t424 () (forall @t12 (= @t338 @t335))) % 168.92/169.57 (define @t425 () (=> @t424 @t423)) % 168.92/169.57 (define @t426 () (forall @t28 (= @t349 (or @t129 @t345)))) % 168.92/169.57 (define @t427 () (=> @t426 @t425)) % 168.92/169.57 (define @t428 () (=> @t363 @t427)) % 168.92/169.57 (define @t429 () (forall @t12 (or (not (forall @t9 (= @t326 @t330))) @t3))) % 168.92/169.57 (define @t430 () (=> @t429 @t428)) % 168.92/169.57 (define @t431 () (not @t430)) % 168.92/169.57 (define @t432 () (_ @t143 @t19)) % 168.92/169.57 (define @t433 () (not @t432)) % 168.92/169.57 (define @t434 () (not (_ @t143 @t313))) % 168.92/169.57 (define @t435 () (forall @t70 (= @t129 @t432))) % 168.92/169.57 (define @t436 () (not (forall @t9 (not @t435)))) % 168.92/169.57 (define @t437 () (@list @t143 @t313)) % 168.92/169.57 (define @t438 () (forall @t437 (or @t436 @t434 (not (forall @t70 (or @t433 @t314)))))) % 168.92/169.57 (define @t439 () (tptp.setunion @t2)) % 168.92/169.57 (define @t440 () (tptp.powerset @t439)) % 168.92/169.57 (define @t441 () (tptp.in @t4 @t440)) % 168.92/169.57 (define @t442 () (tptp.in @t4 @t2)) % 168.92/169.57 (define @t443 () (not @t442)) % 168.92/169.57 (define @t444 () (tptp.in @t1 @t2)) % 168.92/169.57 (define @t445 () (not @t444)) % 168.92/169.57 (define @t446 () (tptp.in @t4 @t1)) % 168.92/169.57 (define @t447 () (not @t446)) % 168.92/169.57 (define @t448 () (forall @t41 (or @t447 @t445))) % 168.92/169.57 (define @t449 () (not @t448)) % 168.92/169.57 (define @t450 () (tptp.in @t4 @t439)) % 168.92/169.57 (define @t451 () (tptp.powerset @t2)) % 168.92/169.57 (define @t452 () (tptp.in @t1 @t451)) % 168.92/169.57 (define @t453 () (tptp.in tptp.emptyset @t451)) % 168.92/169.57 (define @t454 () (forall @t64 @t453)) % 168.92/169.57 (define @t455 () (forall @t9 (or @t447 @t442))) % 168.92/169.57 (define @t456 () (not @t455)) % 168.92/169.57 (define @t457 () (=> (forall @t12 (or @t456 @t452)) (=> @t454 (=> @t454 (=> (forall @t241 (or (not @t452) @t447 @t442)) (=> (forall @t245 (or @t447 @t445 @t450)) (=> (forall @t46 (or (not @t450) @t449)) (=> (forall @t46 (or @t443 @t441)) @t438)))))))) % 168.92/169.57 (define @t458 () (tptp.in @t19 @t2)) % 168.92/169.57 (define @t459 () (tptp.setadjoin @t4 @t2)) % 168.92/169.57 (define @t460 () (tptp.in @t19 @t459)) % 168.92/169.57 (define @t461 () (forall @t28 (or (not @t460) @t129 @t458))) % 168.92/169.57 (define @t462 () (not @t458)) % 168.92/169.57 (define @t463 () (forall @t28 (or @t462 @t460))) % 168.92/169.57 (define @t464 () (tptp.setadjoin @t4 @t19)) % 168.92/169.57 (define @t465 () (tptp.in @t4 @t464)) % 168.92/169.57 (define @t466 () (forall @t135 @t465)) % 168.92/169.57 (define @t467 () (not (tptp.in @t352 tptp.emptyset))) % 168.92/169.57 (define @t468 () (forall @t353 @t467)) % 168.92/169.57 (define @t469 () (tptp.dsetconstr @t2 @t143)) % 168.92/169.57 (define @t470 () (_ @t143 @t4)) % 168.92/169.57 (define @t471 () (not @t470)) % 168.92/169.57 (define @t472 () (forall @t159 (or @t443 @t471 (not (= tptp.emptyset @t469))))) % 168.92/169.57 (define @t473 () (forall @t9 @t443)) % 168.92/169.57 (define @t474 () (not @t473)) % 168.92/169.57 (define @t475 () (forall @t64 (or @t193 @t474))) % 168.92/169.57 (define @t476 () (tptp.in @t4 @t469)) % 168.92/169.57 (define @t477 () (forall @t159 (or @t443 (= @t470 @t476)))) % 168.92/169.57 (define @t478 () (forall @t64 (or @t474 @t193))) % 168.92/169.57 (define @t479 () (forall @t9 (or @t443 @t446))) % 168.92/169.57 (define @t480 () (not @t479)) % 168.92/169.57 (define @t481 () (or @t480 @t456 @t3)) % 168.92/169.57 (define @t482 () (forall @t12 @t481)) % 168.92/169.57 (define @t483 () (not (_ @t143 @t361))) % 168.92/169.57 (define @t484 () (not (forall @t9 @t471))) % 168.92/169.57 (define @t485 () (@list @t143 @t361)) % 168.92/169.57 (define @t486 () (forall @t485 (or @t484 @t483 (not (forall @t70 (or @t433 @t362)))))) % 168.92/169.57 (define @t487 () (tptp.in @t4 tptp.emptyset)) % 168.92/169.57 (define @t488 () (forall @t9 (not @t487))) % 168.92/169.57 (define @t489 () (tptp.powerset tptp.emptyset)) % 168.92/169.57 (define @t490 () (not @t476)) % 168.92/169.57 (define @t491 () (forall @t159 (or @t490 @t470))) % 168.92/169.57 (define @t492 () (forall @t159 (or @t490 @t442))) % 168.92/169.57 (define @t493 () (forall @t159 (or @t443 @t471 @t476))) % 168.92/169.57 (define @t494 () (not (_ @t143 @t365))) % 168.92/169.57 (define @t495 () (_ @t143 (tptp.descr @t143))) % 168.92/169.57 (define @t496 () (@list @t143 @t365)) % 168.92/169.57 (define @t497 () (forall @t496 (or @t495 @t494 (not (forall @t70 (or @t433 @t366)))))) % 168.92/169.57 (define @t498 () (tptp.in @t368 @t95)) % 168.92/169.57 (define @t499 () (not (tptp.in @t368 @t93))) % 168.92/169.57 (define @t500 () (tptp.in @t4 @t93)) % 168.92/169.57 (define @t501 () (tptp.in @t93 @t1)) % 168.92/169.57 (define @t502 () (not @t501)) % 168.92/169.57 (define @t503 () (or @t502 @t500 @t499 @t498)) % 168.92/169.57 (define @t504 () (forall @t370 @t503)) % 168.92/169.57 (define @t505 () (not @t504)) % 168.92/169.57 (define @t506 () (tptp.in @t19 @t104)) % 168.92/169.57 (define @t507 () (tptp.in @t19 @t95)) % 168.92/169.57 (define @t508 () (forall @t70 (or (not @t507) (not @t506)))) % 168.92/169.57 (define @t509 () (not @t508)) % 168.92/169.57 (define @t510 () (tptp.in @t4 @t104)) % 168.92/169.57 (define @t511 () (not @t510)) % 168.92/169.57 (define @t512 () (tptp.in @t95 @t1)) % 168.92/169.57 (define @t513 () (not @t512)) % 168.92/169.57 (define @t514 () (not (forall @t112 (or @t513 @t511 @t509 @t505)))) % 168.92/169.57 (define @t515 () (not (tptp.in @t375 @t104))) % 168.92/169.57 (define @t516 () (forall @t9 (or @t511 @t442))) % 168.92/169.57 (define @t517 () (not @t516)) % 168.92/169.57 (define @t518 () (or @t517 @t515 @t514)) % 168.92/169.57 (define @t519 () (forall @t376 @t518)) % 168.92/169.57 (define @t520 () (not @t519)) % 168.92/169.57 (define @t521 () (tptp.in @t378 @t104)) % 168.92/169.57 (define @t522 () (not (tptp.in @t378 @t95))) % 168.92/169.57 (define @t523 () (tptp.in @t380 @t95)) % 168.92/169.57 (define @t524 () (not (tptp.in @t380 @t104))) % 168.92/169.57 (define @t525 () (tptp.in @t104 @t1)) % 168.92/169.57 (define @t526 () (not @t525)) % 168.92/169.57 (define @t527 () (or @t526 @t513 @t524 @t523 @t522 @t521)) % 168.92/169.57 (define @t528 () (forall @t383 @t527)) % 168.92/169.57 (define @t529 () (not @t528)) % 168.92/169.57 (define @t530 () (forall @t118 (or @t526 (= @t510 @t506)))) % 168.92/169.57 (define @t531 () (not @t530)) % 168.92/169.57 (define @t532 () (forall @t135 (or @t443 @t462 @t531 @t129))) % 168.92/169.57 (define @t533 () (not @t532)) % 168.92/169.57 (define @t534 () (tptp.in @t391 @t2)) % 168.92/169.57 (define @t535 () (not (tptp.in @t391 @t104))) % 168.92/169.57 (define @t536 () (or @t526 @t535 @t534)) % 168.92/169.57 (define @t537 () (forall @t393 @t536)) % 168.92/169.57 (define @t538 () (not @t537)) % 168.92/169.57 (define @t539 () (or @t538 @t533 @t529 @t520)) % 168.92/169.57 (define @t540 () (forall @t64 (not (forall @t41 @t539)))) % 168.92/169.57 (define @t541 () (forall @t9 (or @t447 @t443))) % 168.92/169.57 (define @t542 () (not @t541)) % 168.92/169.57 (define @t543 () (not (forall @t41 (or @t445 @t542)))) % 168.92/169.57 (define @t544 () (not (tptp.in @t400 @t2))) % 168.92/169.57 (define @t545 () (or @t544 @t543)) % 168.92/169.57 (define @t546 () (forall @t401 @t545)) % 168.92/169.57 (define @t547 () (_ @t67 @t19 @t4)) % 168.92/169.57 (define @t548 () (not (forall @t70 (or @t462 (not @t547))))) % 168.92/169.57 (define @t549 () (forall @t9 (= @t446 @t548))) % 168.92/169.57 (define @t550 () (not (forall @t41 (not @t549)))) % 168.92/169.57 (define @t551 () (_ @t67 @t4 @t19)) % 168.92/169.57 (define @t552 () (not (forall @t70 (or (not @t551) @t406)))) % 168.92/169.57 (define @t553 () (_ @t67 @t4 @t405)) % 168.92/169.57 (define @t554 () (not (forall @t408 (or (not @t553) @t552)))) % 168.92/169.57 (define @t555 () (forall @t9 (or @t443 @t554))) % 168.92/169.57 (define @t556 () (forall @t81 (or (not @t555) @t550))) % 168.92/169.57 (define @t557 () (tptp.in @t411 @t2)) % 168.92/169.57 (define @t558 () (not (tptp.in @t411 tptp.omega))) % 168.92/169.57 (define @t559 () (tptp.setadjoin @t4 @t4)) % 168.92/169.57 (define @t560 () (tptp.in @t559 @t2)) % 168.92/169.57 (define @t561 () (tptp.in @t4 tptp.omega)) % 168.92/169.57 (define @t562 () (not @t561)) % 168.92/169.57 (define @t563 () (forall @t9 (or @t562 @t443 @t560))) % 168.92/169.57 (define @t564 () (not @t563)) % 168.92/169.57 (define @t565 () (tptp.in tptp.emptyset @t2)) % 168.92/169.57 (define @t566 () (not @t565)) % 168.92/169.57 (define @t567 () (or @t566 @t564 @t558 @t557)) % 168.92/169.57 (define @t568 () (forall @t415 @t567)) % 168.92/169.57 (define @t569 () (tptp.in @t559 tptp.omega)) % 168.92/169.57 (define @t570 () (forall @t9 (or @t562 @t569))) % 168.92/169.57 (define @t571 () (forall @t46 (= @t449 @t450))) % 168.92/169.57 (define @t572 () (forall @t12 (= @t455 @t452))) % 168.92/169.57 (define @t573 () (or @t129 @t458)) % 168.92/169.57 (define @t574 () (forall @t28 (= @t460 @t573))) % 168.92/169.57 (define @t575 () (forall @t9 (= @t442 @t446))) % 168.92/169.57 (define @t576 () (forall @t12 (or (not @t575) @t3))) % 168.92/169.57 (define @t577 () (not (=> @t576 (=> @t488 (=> @t574 (=> @t572 (=> @t571 (=> @t50 (=> @t570 (=> @t568 (=> @t556 (=> @t546 (=> @t540 (=> @t497 (=> @t493 (=> @t492 (=> @t491 (=> (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t489 (@const 15 (-> $$unsorted Bool)))))) (=> @t488 (=> @t488 (=> @t488 (=> @t486 (=> @t482 (=> @t478 (=> @t478 (=> @t477 (=> @t475 (=> @t472 (=> @t468 (=> @t466 (=> @t217 (=> @t463 (=> @t461 (=> @t461 (=> (forall @t64 (= @t2 (tptp.dsetconstr @t2 (@const 14 (-> $$unsorted Bool))))) @t457))))))))))))))))))))))))))))))))))) % 168.92/169.57 (define @t578 () (@var "BOUND_VARIABLE_9209" $$unsorted)) % 168.92/169.57 (define @t579 () (lambda (@list @t578) true)) % 168.92/169.57 (define @t580 () (tptp.dsetconstr @t2 @t579)) % 168.92/169.57 (define @t581 () (@var "BOUND_VARIABLE_9234" $$unsorted)) % 168.92/169.57 (define @t582 () (lambda (@list @t581) false)) % 168.92/169.57 (define @t583 () (=> (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t489 @t582)))) (=> @t488 (=> @t488 (=> @t488 (=> @t486 (=> @t482 (=> @t478 (=> @t478 (=> @t477 (=> @t475 (=> @t472 (=> @t468 (=> @t466 (=> @t217 (=> @t463 (=> @t461 (=> @t461 (=> (forall @t64 (= @t2 @t580)) @t457))))))))))))))))))) % 168.92/169.57 (define @t584 () (=> @t491 (=> true @t583))) % 168.92/169.57 (define @t585 () (=> @t492 @t584)) % 168.92/169.57 (define @t586 () (=> @t493 @t585)) % 168.92/169.57 (define @t587 () (=> @t497 @t586)) % 168.92/169.57 (define @t588 () (=> @t540 @t587)) % 168.92/169.57 (define @t589 () (=> @t546 @t588)) % 168.92/169.57 (define @t590 () (=> @t556 @t589)) % 168.92/169.57 (define @t591 () (=> @t568 @t590)) % 168.92/169.57 (define @t592 () (=> @t570 @t591)) % 168.92/169.57 (define @t593 () (=> @t50 @t592)) % 168.92/169.57 (define @t594 () (=> @t571 @t593)) % 168.92/169.57 (define @t595 () (=> @t572 @t594)) % 168.92/169.57 (define @t596 () (=> @t574 @t595)) % 168.92/169.57 (define @t597 () (=> @t488 @t596)) % 168.92/169.57 (define @t598 () (=> @t576 @t597)) % 168.92/169.57 (define @t599 () (or @t194 @t256)) % 168.92/169.57 (define @t600 () (=> tptp.subPowSU @t438)) % 168.92/169.57 (define @t601 () (not @t44)) % 168.92/169.57 (define @t602 () (or @t601 @t449)) % 168.92/169.57 (define @t603 () (not false)) % 168.92/169.57 (define @t604 () (and @t603 @t449)) % 168.92/169.57 (define @t605 () (or @t604 false)) % 168.92/169.57 (define @t606 () (not @t172)) % 168.92/169.57 (define @t607 () (and @t606 @t449)) % 168.92/169.57 (define @t608 () (not (= @t172 false))) % 168.92/169.57 (define @t609 () (or @t172 @t607 @t172)) % 168.92/169.57 (define @t610 () (or @t607 @t172)) % 168.92/169.57 (define @t611 () (or @t172 @t448)) % 168.92/169.57 (define @t612 () (not @t39)) % 168.92/169.57 (define @t613 () (not @t6)) % 168.92/169.57 (define @t614 () (or @t613 @t612)) % 168.92/169.57 (define @t615 () (forall @t41 @t614)) % 168.92/169.57 (define @t616 () (or @t172 @t615)) % 168.92/169.57 (define @t617 () (or @t172 @t614)) % 168.92/169.57 (define @t618 () (or @t613 @t612 @t172)) % 168.92/169.57 (define @t619 () (=> tptp.setunionE @t600)) % 168.92/169.57 (define @t620 () (or @t613 @t612 @t44)) % 168.92/169.57 (define @t621 () (=> tptp.setunionI @t619)) % 168.92/169.57 (define @t622 () (not @t35)) % 168.92/169.57 (define @t623 () (or @t622 @t613 @t7)) % 168.92/169.57 (define @t624 () (or @t613 @t7)) % 168.92/169.57 (define @t625 () (=> tptp.powersetE @t621)) % 168.92/169.57 (define @t626 () (=> tptp.emptyInPowerset @t625)) % 168.92/169.57 (define @t627 () (=> tptp.emptyinPowerset @t626)) % 168.92/169.57 (define @t628 () (or @t456 @t35)) % 168.92/169.57 (define @t629 () (=> tptp.powersetI @t627)) % 168.92/169.57 (define @t630 () (_ @t155 @t579)) % 168.92/169.57 (define @t631 () (= @t2 @t630)) % 168.92/169.57 (define @t632 () (@list @t4)) % 168.92/169.57 (define @t633 () (=> tptp.setoftrueEq @t629)) % 168.92/169.57 (define @t634 () (not @t26)) % 168.92/169.57 (define @t635 () (or @t634 @t129 @t21)) % 168.92/169.57 (define @t636 () (or @t129 @t21)) % 168.92/169.57 (define @t637 () (=> tptp.setadjoinOr @t633)) % 168.92/169.57 (define @t638 () (or @t634 @t129 @t458)) % 168.92/169.57 (define @t639 () (and @t458 @t603)) % 168.92/169.57 (define @t640 () (and @t129 @t603)) % 168.92/169.57 (define @t641 () (or @t640 @t639)) % 168.92/169.57 (define @t642 () (or @t640 @t639 false)) % 168.92/169.57 (define @t643 () (and @t458 @t606)) % 168.92/169.57 (define @t644 () (and @t129 @t606)) % 168.92/169.57 (define @t645 () (or @t172 @t644 @t643 @t172)) % 168.92/169.57 (define @t646 () (or @t644 @t643 @t172)) % 168.92/169.57 (define @t647 () (and @t21 @t606)) % 168.92/169.57 (define @t648 () (or @t644 @t647 @t172)) % 168.92/169.57 (define @t649 () (=> @t129 @t172)) % 168.92/169.57 (define @t650 () (=> tptp.setadjoinE @t637)) % 168.92/169.57 (define @t651 () (not @t21)) % 168.92/169.57 (define @t652 () (or @t651 @t26)) % 168.92/169.57 (define @t653 () (=> tptp.setadjoinIR @t650)) % 168.92/169.57 (define @t654 () (=> tptp.emptyinunitempty @t653)) % 168.92/169.57 (define @t655 () (=> tptp.setadjoinIL @t654)) % 168.92/169.57 (define @t656 () (not (= tptp.emptyset tptp.emptyset))) % 168.92/169.57 (define @t657 () (or @t467 @t656)) % 168.92/169.57 (define @t658 () (not @t193)) % 168.92/169.57 (define @t659 () (not (tptp.in @t352 @t2))) % 168.92/169.57 (define @t660 () (or @t658 @t659 @t658)) % 168.92/169.57 (define @t661 () (or @t659 @t658)) % 168.92/169.57 (define @t662 () (forall @t64 @t661)) % 168.92/169.57 (define @t663 () (forall @t353 @t662)) % 168.92/169.57 (define @t664 () (forall (@list @t352 @t2) @t661)) % 168.92/169.57 (define @t665 () (forall (@list @t2 @t352) @t661)) % 168.92/169.57 (define @t666 () (forall @t353 @t661)) % 168.92/169.57 (define @t667 () (forall @t353 @t659)) % 168.92/169.57 (define @t668 () (or @t667 @t658)) % 168.92/169.57 (define @t669 () (not @t474)) % 168.92/169.57 (define @t670 () (_ @t312 @t2)) % 168.92/169.57 (define @t671 () (not @t195)) % 168.92/169.57 (define @t672 () (=> @t89 @t670)) % 168.92/169.57 (define @t673 () (forall @t64 @t672)) % 168.92/169.57 (define @t674 () (=> tptp.nonemptyI1 @t655)) % 168.92/169.57 (define @t675 () (lambda @t70 @t432)) % 168.92/169.57 (define @t676 () (tptp.dsetconstr @t2 @t675)) % 168.92/169.57 (define @t677 () (= tptp.emptyset @t676)) % 168.92/169.57 (define @t678 () (not @t677)) % 168.92/169.57 (define @t679 () (or @t443 @t471 @t678)) % 168.92/169.57 (define @t680 () (= tptp.emptyset @t156)) % 168.92/169.57 (define @t681 () (not @t680)) % 168.92/169.57 (define @t682 () (not @t144)) % 168.92/169.57 (define @t683 () (or @t194 @t682 @t681)) % 168.92/169.57 (define @t684 () (=> @t144 @t681)) % 168.92/169.57 (define @t685 () (not (= @t156 tptp.emptyset))) % 168.92/169.57 (define @t686 () (_ @t312 @t156)) % 168.92/169.57 (define @t687 () (=> @t144 @t686)) % 168.92/169.57 (define @t688 () (=> @t7 @t687)) % 168.92/169.57 (define @t689 () (forall @t159 @t688)) % 168.92/169.57 (define @t690 () (=> tptp.nonemptyI @t674)) % 168.92/169.57 (define @t691 () (=> @t670 @t89)) % 168.92/169.57 (define @t692 () (forall @t64 @t691)) % 168.92/169.57 (define @t693 () (=> tptp.nonemptyE1 @t690)) % 168.92/169.57 (define @t694 () (tptp.in @t4 @t676)) % 168.92/169.57 (define @t695 () (= @t470 @t694)) % 168.92/169.57 (define @t696 () (or @t443 @t695)) % 168.92/169.57 (define @t697 () (= @t144 @t157)) % 168.92/169.57 (define @t698 () (or @t194 @t697)) % 168.92/169.57 (define @t699 () (=> tptp.setbeta @t693)) % 168.92/169.57 (define @t700 () (=> tptp.noeltsimpempty @t699)) % 168.92/169.57 (define @t701 () (=> tptp.emptyI @t700)) % 168.92/169.57 (define @t702 () (=> @t455 @t3)) % 168.92/169.57 (define @t703 () (or @t194 @t6)) % 168.92/169.57 (define @t704 () (=> tptp.setext @t701)) % 168.92/169.57 (define @t705 () (or @t433 (= @t361 @t19))) % 168.92/169.57 (define @t706 () (forall @t70 @t705)) % 168.92/169.57 (define @t707 () (not @t706)) % 168.92/169.57 (define @t708 () (or @t484 @t483 @t707)) % 168.92/169.57 (define @t709 () (or @t483 @t707)) % 168.92/169.57 (define @t710 () (or @t709 @t484)) % 168.92/169.57 (define @t711 () (forall @t485 @t710)) % 168.92/169.57 (define @t712 () (@list @t361)) % 168.92/169.57 (define @t713 () (forall @t712 @t710)) % 168.92/169.57 (define @t714 () (forall @t712 @t709)) % 168.92/169.57 (define @t715 () (or @t714 @t484)) % 168.92/169.57 (define @t716 () (forall @t70 (or @t433 @t129))) % 168.92/169.57 (define @t717 () (not @t716)) % 168.92/169.57 (define @t718 () (forall @t9 (or @t471 @t717))) % 168.92/169.57 (define @t719 () (not @t718)) % 168.92/169.57 (define @t720 () (not @t719)) % 168.92/169.57 (define @t721 () (forall @t9 @t682)) % 168.92/169.57 (define @t722 () (not @t721)) % 168.92/169.57 (define @t723 () (or @t682 @t717)) % 168.92/169.57 (define @t724 () (not @t153)) % 168.92/169.57 (define @t725 () (or @t724 @t129)) % 168.92/169.57 (define @t726 () (_ @t145 @t19)) % 168.92/169.57 (define @t727 () (not @t726)) % 168.92/169.57 (define @t728 () (or @t727 @t129)) % 168.92/169.57 (define @t729 () (forall @t70 @t728)) % 168.92/169.57 (define @t730 () (not @t729)) % 168.92/169.57 (define @t731 () (_ @t145 @t4)) % 168.92/169.57 (define @t732 () (not @t731)) % 168.92/169.57 (define @t733 () (or @t732 @t730)) % 168.92/169.57 (define @t734 () (forall @t9 @t733)) % 168.92/169.57 (define @t735 () (not @t734)) % 168.92/169.57 (define @t736 () (lambda @t150 @t719)) % 168.92/169.57 (define @t737 () (_ @t736 @t145)) % 168.92/169.57 (define @t738 () (=> @t737 @t184)) % 168.92/169.57 (define @t739 () (forall @t150 @t738)) % 168.92/169.57 (define @t740 () (and @t144 @t716)) % 168.92/169.57 (define @t741 () (forall @t9 (not @t740))) % 168.92/169.57 (define @t742 () (not @t741)) % 168.92/169.57 (define @t743 () (=> tptp.exuE3e @t704)) % 168.92/169.57 (define @t744 () (=> tptp.notinemptyset @t743)) % 168.92/169.57 (define @t745 () (=> tptp.emptysetimpfalse @t744)) % 168.92/169.57 (define @t746 () (or @t172 @t172)) % 168.92/169.57 (define @t747 () (=> tptp.emptysetE @t745)) % 168.92/169.57 (define @t748 () (@var "BOUND_VARIABLE_8373" $$unsorted)) % 168.92/169.57 (define @t749 () (@list @t748)) % 168.92/169.57 (define @t750 () (lambda @t749 false)) % 168.92/169.57 (define @t751 () (@list @t748)) % 168.92/169.57 (define @t752 () (tptp.dsetconstr @t489 @t750)) % 168.92/169.57 (define @t753 () (tptp.in @t4 @t752)) % 168.92/169.57 (define @t754 () (not @t753)) % 168.92/169.57 (define @t755 () (or @t754 false)) % 168.92/169.57 (define @t756 () (lambda @t749 @t172)) % 168.92/169.57 (define @t757 () (tptp.dsetconstr @t489 @t756)) % 168.92/169.57 (define @t758 () (tptp.in @t4 @t757)) % 168.92/169.57 (define @t759 () (not @t758)) % 168.92/169.57 (define @t760 () (or @t172 @t759 @t172)) % 168.92/169.57 (define @t761 () (or @t759 @t172)) % 168.92/169.57 (define @t762 () (forall @t177 @t761)) % 168.92/169.57 (define @t763 () (forall @t9 @t762)) % 168.92/169.57 (define @t764 () (forall (@list @t4 @t172) @t761)) % 168.92/169.57 (define @t765 () (_ @t309 @t756)) % 168.92/169.57 (define @t766 () (_ @t5 @t765)) % 168.92/169.57 (define @t767 () (not @t766)) % 168.92/169.57 (define @t768 () (or @t767 @t172)) % 168.92/169.57 (define @t769 () (=> (_ @t5 @t310) @t172)) % 168.92/169.57 (define @t770 () (_ @t311 @t172)) % 168.92/169.57 (define @t771 () (=> (_ @t5 @t770) @t172)) % 168.92/169.57 (define @t772 () (forall @t174 @t771)) % 168.92/169.57 (define @t773 () (=> tptp.prop2setE @t747)) % 168.92/169.57 (define @t774 () (=> @t737 @t168)) % 168.92/169.57 (define @t775 () (forall @t150 @t774)) % 168.92/169.57 (define @t776 () (=> tptp.exuE1 @t773)) % 168.92/169.57 (define @t777 () (not @t694)) % 168.92/169.57 (define @t778 () (or @t777 @t470)) % 168.92/169.57 (define @t779 () (not @t157)) % 168.92/169.57 (define @t780 () (or @t779 @t144)) % 168.92/169.57 (define @t781 () (=> tptp.dsetconstrER @t776)) % 168.92/169.57 (define @t782 () (or @t777 @t442)) % 168.92/169.57 (define @t783 () (or @t779 @t7)) % 168.92/169.57 (define @t784 () (=> tptp.dsetconstrEL @t781)) % 168.92/169.57 (define @t785 () (or @t443 @t471 @t694)) % 168.92/169.57 (define @t786 () (or @t194 @t682 @t157)) % 168.92/169.57 (define @t787 () (=> tptp.dsetconstrI @t784)) % 168.92/169.57 (define @t788 () (or @t433 (= @t365 @t19))) % 168.92/169.57 (define @t789 () (forall @t70 @t788)) % 168.92/169.57 (define @t790 () (not @t789)) % 168.92/169.57 (define @t791 () (or @t495 @t494 @t790)) % 168.92/169.57 (define @t792 () (or @t494 @t790)) % 168.92/169.57 (define @t793 () (or @t792 @t495)) % 168.92/169.57 (define @t794 () (forall @t496 @t793)) % 168.92/169.57 (define @t795 () (@list @t365)) % 168.92/169.57 (define @t796 () (forall @t795 @t793)) % 168.92/169.57 (define @t797 () (forall @t795 @t792)) % 168.92/169.57 (define @t798 () (or @t797 @t495)) % 168.92/169.57 (define @t799 () (lambda @t9 @t470)) % 168.92/169.57 (define @t800 () (tptp.descr @t799)) % 168.92/169.57 (define @t801 () (_ @t143 @t800)) % 168.92/169.57 (define @t802 () (or @t718 @t801)) % 168.92/169.57 (define @t803 () (or @t718 @t147)) % 168.92/169.57 (define @t804 () (=> @t737 @t147)) % 168.92/169.57 (define @t805 () (forall @t150 @t804)) % 168.92/169.57 (define @t806 () (=> tptp.descrp @t787)) % 168.92/169.57 (define @t807 () (and @t537 @t532 @t528 @t519)) % 168.92/169.57 (define @t808 () (forall @t41 (not @t807))) % 168.92/169.57 (define @t809 () (not @t808)) % 168.92/169.57 (define @t810 () (@list @t375)) % 168.92/169.57 (define @t811 () (forall @t810 @t518)) % 168.92/169.57 (define @t812 () (forall @t810 @t515)) % 168.92/169.57 (define @t813 () (or @t517 @t812 @t514)) % 168.92/169.57 (define @t814 () (forall @t9 @t511)) % 168.92/169.57 (define @t815 () (or @t517 @t814 @t514)) % 168.92/169.57 (define @t816 () (not @t814)) % 168.92/169.57 (define @t817 () (and @t516 @t816)) % 168.92/169.57 (define @t818 () (not @t109)) % 168.92/169.57 (define @t819 () (not @t110)) % 168.92/169.57 (define @t820 () (or @t819 @t818 @t509 @t505)) % 168.92/169.57 (define @t821 () (and @t110 @t109 @t508 @t504)) % 168.92/169.57 (define @t822 () (forall @t112 (not @t821))) % 168.92/169.57 (define @t823 () (not @t822)) % 168.92/169.57 (define @t824 () (or @t499 @t498)) % 168.92/169.57 (define @t825 () (or @t502 @t824 @t500)) % 168.92/169.57 (define @t826 () (forall @t370 @t825)) % 168.92/169.57 (define @t827 () (@list @t368)) % 168.92/169.57 (define @t828 () (forall @t827 @t825)) % 168.92/169.57 (define @t829 () (forall @t827 @t824)) % 168.92/169.57 (define @t830 () (or @t502 @t829 @t500)) % 168.92/169.57 (define @t831 () (tptp.in @t19 @t93)) % 168.92/169.57 (define @t832 () (forall @t70 (or (not @t831) @t507))) % 168.92/169.57 (define @t833 () (not @t100)) % 168.92/169.57 (define @t834 () (or @t833 @t832 @t94)) % 168.92/169.57 (define @t835 () (or @t832 @t94)) % 168.92/169.57 (define @t836 () (not @t97)) % 168.92/169.57 (define @t837 () (or @t836 @t96)) % 168.92/169.57 (define @t838 () (not @t105)) % 168.92/169.57 (define @t839 () (not @t96)) % 168.92/169.57 (define @t840 () (or @t839 @t838)) % 168.92/169.57 (define @t841 () (forall @t70 (not @t106))) % 168.92/169.57 (define @t842 () (not @t841)) % 168.92/169.57 (define @t843 () (forall @t9 @t818)) % 168.92/169.57 (define @t844 () (not @t843)) % 168.92/169.57 (define @t845 () (or @t818 @t7)) % 168.92/169.57 (define @t846 () (or @t522 @t521)) % 168.92/169.57 (define @t847 () (or @t524 @t523)) % 168.92/169.57 (define @t848 () (or @t526 @t513 @t847 @t846)) % 168.92/169.57 (define @t849 () (forall @t383 @t848)) % 168.92/169.57 (define @t850 () (forall (@list @t380 @t378) @t848)) % 168.92/169.57 (define @t851 () (forall (@list @t378) @t846)) % 168.92/169.57 (define @t852 () (forall (@list @t380) @t847)) % 168.92/169.57 (define @t853 () (or @t526 @t513 @t852 @t851)) % 168.92/169.57 (define @t854 () (tptp.in @t4 @t95)) % 168.92/169.57 (define @t855 () (forall @t9 (or (not @t854) @t510))) % 168.92/169.57 (define @t856 () (forall @t9 (or @t511 @t854))) % 168.92/169.57 (define @t857 () (not @t124)) % 168.92/169.57 (define @t858 () (or @t857 @t819 @t856 @t855)) % 168.92/169.57 (define @t859 () (or @t856 @t855)) % 168.92/169.57 (define @t860 () (not @t120)) % 168.92/169.57 (define @t861 () (or @t860 @t109)) % 168.92/169.57 (define @t862 () (or @t818 @t120)) % 168.92/169.57 (define @t863 () (or @t194 @t651 @t531 @t129)) % 168.92/169.57 (define @t864 () (=> @t530 @t129)) % 168.92/169.57 (define @t865 () (or @t857 @t130)) % 168.92/169.57 (define @t866 () (or @t535 @t534)) % 168.92/169.57 (define @t867 () (or @t526 @t866)) % 168.92/169.57 (define @t868 () (forall @t393 @t867)) % 168.92/169.57 (define @t869 () (@list @t391)) % 168.92/169.57 (define @t870 () (forall @t869 @t867)) % 168.92/169.57 (define @t871 () (forall @t869 @t866)) % 168.92/169.57 (define @t872 () (or @t526 @t871)) % 168.92/169.57 (define @t873 () (or @t857 @t516)) % 168.92/169.57 (define @t874 () (=> tptp.wellorderingAx @t806)) % 168.92/169.57 (define @t875 () (@list @t400)) % 168.92/169.57 (define @t876 () (forall @t875 @t545)) % 168.92/169.57 (define @t877 () (forall @t875 @t544)) % 168.92/169.57 (define @t878 () (or @t877 @t543)) % 168.92/169.57 (define @t879 () (or @t612 @t542)) % 168.92/169.57 (define @t880 () (and @t39 @t541)) % 168.92/169.57 (define @t881 () (forall @t41 (not @t880))) % 168.92/169.57 (define @t882 () (not @t881)) % 168.92/169.57 (define @t883 () (or @t613 @t194)) % 168.92/169.57 (define @t884 () (forall @t9 (not @t84))) % 168.92/169.57 (define @t885 () (not @t884)) % 168.92/169.57 (define @t886 () (=> tptp.foundationAx @t874)) % 168.92/169.57 (define @t887 () (= @t6 @t548)) % 168.92/169.57 (define @t888 () (not @t68)) % 168.92/169.57 (define @t889 () (or @t651 @t888)) % 168.92/169.57 (define @t890 () (forall @t70 (not @t69))) % 168.92/169.57 (define @t891 () (not @t890)) % 168.92/169.57 (define @t892 () (or @t194 @t554)) % 168.92/169.57 (define @t893 () (_ @t75 @t405)) % 168.92/169.57 (define @t894 () (not @t893)) % 168.92/169.57 (define @t895 () (or @t894 @t552)) % 168.92/169.57 (define @t896 () (not @t76)) % 168.92/169.57 (define @t897 () (or @t896 @t406)) % 168.92/169.57 (define @t898 () (_ @t77 @t19)) % 168.92/169.57 (define @t899 () (not @t898)) % 168.92/169.57 (define @t900 () (or @t899 @t406)) % 168.92/169.57 (define @t901 () (forall @t70 @t900)) % 168.92/169.57 (define @t902 () (not @t901)) % 168.92/169.57 (define @t903 () (_ @t77 @t405)) % 168.92/169.57 (define @t904 () (not @t903)) % 168.92/169.57 (define @t905 () (or @t904 @t902)) % 168.92/169.57 (define @t906 () (forall @t408 @t905)) % 168.92/169.57 (define @t907 () (not @t906)) % 168.92/169.57 (define @t908 () (not (_ @t143 @t405))) % 168.92/169.57 (define @t909 () (or @t433 (= @t405 @t19))) % 168.92/169.57 (define @t910 () (forall @t70 @t909)) % 168.92/169.57 (define @t911 () (not @t910)) % 168.92/169.57 (define @t912 () (or @t908 @t911)) % 168.92/169.57 (define @t913 () (forall @t408 @t912)) % 168.92/169.57 (define @t914 () (not @t913)) % 168.92/169.57 (define @t915 () (=> @t7 (_ @t736 @t77))) % 168.92/169.57 (define @t916 () (forall @t9 @t915)) % 168.92/169.57 (define @t917 () (=> @t916 @t74)) % 168.92/169.57 (define @t918 () (forall @t81 @t917)) % 168.92/169.57 (define @t919 () (=> tptp.replAx @t886)) % 168.92/169.57 (define @t920 () (or @t558 @t557)) % 168.92/169.57 (define @t921 () (or @t566 @t564 @t920)) % 168.92/169.57 (define @t922 () (forall @t415 @t921)) % 168.92/169.57 (define @t923 () (@list @t411)) % 168.92/169.57 (define @t924 () (forall @t923 @t921)) % 168.92/169.57 (define @t925 () (forall @t923 @t920)) % 168.92/169.57 (define @t926 () (or @t566 @t564 @t925)) % 168.92/169.57 (define @t927 () (forall @t9 (or @t562 @t442))) % 168.92/169.57 (define @t928 () (not @t61)) % 168.92/169.57 (define @t929 () (or @t928 @t564 @t927)) % 168.92/169.57 (define @t930 () (and @t61 @t563)) % 168.92/169.57 (define @t931 () (not @t54)) % 168.92/169.57 (define @t932 () (or @t931 @t7)) % 168.92/169.57 (define @t933 () (_ tptp.in @t559)) % 168.92/169.57 (define @t934 () (or @t931 @t194 @t58)) % 168.92/169.57 (define @t935 () (=> tptp.omegaIndAx @t919)) % 168.92/169.57 (define @t936 () (or @t931 @t53)) % 168.92/169.57 (define @t937 () (=> tptp.omegaSAx @t935)) % 168.92/169.57 (define @t938 () (=> tptp.omega0Ax @t937)) % 168.92/169.57 (define @t939 () (= @t44 @t449)) % 168.92/169.57 (define @t940 () (forall @t41 (not @t40))) % 168.92/169.57 (define @t941 () (not @t940)) % 168.92/169.57 (define @t942 () (=> tptp.setunionAx @t938)) % 168.92/169.57 (define @t943 () (= @t35 @t455)) % 168.92/169.57 (define @t944 () (=> tptp.powersetAx @t942)) % 168.92/169.57 (define @t945 () (= @t26 @t636)) % 168.92/169.57 (define @t946 () (=> tptp.setadjoinAx @t944)) % 168.92/169.57 (define @t947 () (=> tptp.emptysetAx @t946)) % 168.92/169.57 (define @t948 () (=> tptp.setextAx @t947)) % 168.92/169.57 (define @t949 () (or @t433 (= @t313 @t19))) % 168.92/169.57 (define @t950 () (forall @t70 @t949)) % 168.92/169.57 (define @t951 () (not @t950)) % 168.92/169.57 (define @t952 () (or @t436 @t434 @t951)) % 168.92/169.57 (define @t953 () (or @t434 @t951)) % 168.92/169.57 (define @t954 () (or @t953 @t436)) % 168.92/169.57 (define @t955 () (forall @t437 @t954)) % 168.92/169.57 (define @t956 () (@list @t313)) % 168.92/169.57 (define @t957 () (forall @t956 @t954)) % 168.92/169.57 (define @t958 () (forall @t956 @t953)) % 168.92/169.57 (define @t959 () (or @t958 @t436)) % 168.92/169.57 (define @t960 () (= @t153 @t129)) % 168.92/169.57 (define @t961 () (=> @t737 @t261)) % 168.92/169.57 (define @t962 () (forall @t150 @t961)) % 168.92/169.57 (define @t963 () (=> tptp.subPowSU @t962)) % 168.92/169.57 (define @t964 () (=> tptp.setunionE @t963)) % 168.92/169.57 (define @t965 () (=> tptp.setunionI @t964)) % 168.92/169.57 (define @t966 () (=> tptp.powersetE @t965)) % 168.92/169.57 (define @t967 () (=> tptp.emptyInPowerset @t966)) % 168.92/169.57 (define @t968 () (=> tptp.emptyinPowerset @t967)) % 168.92/169.57 (define @t969 () (=> tptp.powersetI @t968)) % 168.92/169.57 (define @t970 () (=> tptp.setoftrueEq @t969)) % 168.92/169.57 (define @t971 () (=> tptp.setadjoinOr @t970)) % 168.92/169.57 (define @t972 () (=> tptp.setadjoinE @t971)) % 168.92/169.57 (define @t973 () (=> tptp.setadjoinIR @t972)) % 168.92/169.57 (define @t974 () (=> tptp.emptyinunitempty @t973)) % 168.92/169.57 (define @t975 () (=> tptp.setadjoinIL @t974)) % 168.92/169.57 (define @t976 () (=> tptp.nonemptyI1 @t975)) % 168.92/169.57 (define @t977 () (=> tptp.nonemptyI @t976)) % 168.92/169.57 (define @t978 () (=> tptp.nonemptyE1 @t977)) % 168.92/169.57 (define @t979 () (=> tptp.setbeta @t978)) % 168.92/169.57 (define @t980 () (=> tptp.noeltsimpempty @t979)) % 168.92/169.57 (define @t981 () (=> tptp.emptyI @t980)) % 168.92/169.57 (define @t982 () (=> tptp.setext @t981)) % 168.92/169.57 (define @t983 () (=> tptp.exuE3e @t982)) % 168.92/169.57 (define @t984 () (=> tptp.notinemptyset @t983)) % 168.92/169.57 (define @t985 () (=> tptp.emptysetimpfalse @t984)) % 168.92/169.57 (define @t986 () (=> tptp.emptysetE @t985)) % 168.92/169.57 (define @t987 () (=> tptp.prop2setE @t986)) % 168.92/169.57 (define @t988 () (=> tptp.exuE1 @t987)) % 168.92/169.57 (define @t989 () (=> tptp.dsetconstrER @t988)) % 168.92/169.57 (define @t990 () (=> tptp.dsetconstrEL @t989)) % 168.92/169.57 (define @t991 () (=> tptp.dsetconstrI @t990)) % 168.92/169.57 (define @t992 () (=> tptp.descrp @t991)) % 168.92/169.57 (define @t993 () (=> tptp.wellorderingAx @t992)) % 168.92/169.57 (define @t994 () (=> tptp.foundationAx @t993)) % 168.92/169.57 (define @t995 () (=> tptp.replAx @t994)) % 168.92/169.57 (define @t996 () (=> tptp.omegaIndAx @t995)) % 168.92/169.57 (define @t997 () (=> tptp.omegaSAx @t996)) % 168.92/169.57 (define @t998 () (=> tptp.omega0Ax @t997)) % 168.92/169.57 (define @t999 () (=> tptp.setunionAx @t998)) % 168.92/169.57 (define @t1000 () (=> tptp.powersetAx @t999)) % 168.92/169.57 (define @t1001 () (=> tptp.setadjoinAx @t1000)) % 168.92/169.57 (define @t1002 () (=> tptp.emptysetAx @t1001)) % 168.92/169.57 (define @t1003 () (=> tptp.setextAx @t1002)) % 168.92/169.57 (define @t1004 () (@quantifiers_skolemize @t319 1)) % 168.92/169.57 (define @t1005 () (@quantifiers_skolemize @t319 0)) % 168.92/169.57 (define @t1006 () (_ @t316 @t1005 @t1004)) % 168.92/169.57 (define @t1007 () (= @t19 @t1004)) % 168.92/169.57 (define @t1008 () (_ @t316 @t1005 @t19)) % 168.92/169.57 (define @t1009 () (forall @t70 (or (not @t1008) @t1007))) % 168.92/169.57 (define @t1010 () (not @t1009)) % 168.92/169.57 (define @t1011 () (not @t1006)) % 168.92/169.57 (define @t1012 () (forall @t9 (not (forall @t70 (= @t129 @t1008))))) % 168.92/169.57 (define @t1013 () (not @t1012)) % 168.92/169.57 (define @t1014 () (or @t1013 @t1011 @t1010)) % 168.92/169.57 (define @t1015 () (@list true)) % 168.92/169.57 (define @t1016 () (@list @t1014)) % 168.92/169.57 (define @t1017 () (= @t1004 @t19)) % 168.92/169.57 (define @t1018 () (forall @t70 (= @t1017 @t1008))) % 168.92/169.57 (define @t1019 () (not @t1018)) % 168.92/169.57 (define @t1020 () (forall @t70 (= @t1008 @t1007))) % 168.92/169.57 (define @t1021 () (not @t1020)) % 168.92/169.57 (define @t1022 () (@list false)) % 168.92/169.57 (define @t1023 () (@quantifiers_skolemize @t1020 0)) % 168.92/169.57 (define @t1024 () (= @t1004 @t1023)) % 168.92/169.57 (define @t1025 () (_ @t316 @t1005 @t1023)) % 168.92/169.57 (define @t1026 () (= @t1025 @t1024)) % 168.92/169.57 (define @t1027 () (not @t1026)) % 168.92/169.57 (define @t1028 () (= @t1023 @t1004)) % 168.92/169.57 (define @t1029 () (= @t1025 @t1028)) % 168.92/169.57 (define @t1030 () (not @t1029)) % 168.92/169.57 (define @t1031 () (not @t1025)) % 168.92/169.57 (define @t1032 () (or @t1031 @t1028)) % 168.92/169.57 (define @t1033 () (or @t1031 @t1024)) % 168.92/169.57 (assume @p1 @t14) % 168.92/169.57 (assume @p2 @t18) % 168.92/169.57 (assume @p3 @t30) % 168.92/169.57 (assume @p4 @t38) % 168.92/169.57 (assume @p5 @t48) % 168.92/169.57 (assume @p6 (= tptp.omega0Ax @t50)) % 168.92/169.57 (assume @p7 @t56) % 168.92/169.57 (assume @p8 @t66) % 168.92/169.57 (assume @p9 @t83) % 168.92/169.57 (assume @p10 @t92) % 168.92/169.57 (assume @p11 @t142) % 168.92/169.57 (assume @p12 @t152) % 168.92/169.57 (assume @p13 @t161) % 168.92/169.57 (assume @p14 @t163) % 168.92/169.57 (assume @p15 @t165) % 168.92/169.57 (assume @p16 @t171) % 168.92/169.57 (assume @p17 @t176) % 168.92/169.57 (assume @p18 @t181) % 168.92/169.57 (assume @p19 @t183) % 168.92/169.57 (assume @p20 (= tptp.notinemptyset @t17)) % 168.92/169.57 (assume @p21 @t187) % 168.92/169.57 (assume @p22 @t192) % 168.92/169.57 (assume @p23 @t198) % 168.92/169.57 (assume @p24 (= tptp.noeltsimpempty @t197)) % 168.92/169.57 (assume @p25 @t201) % 168.92/169.57 (assume @p26 @t205) % 168.92/169.57 (assume @p27 @t209) % 168.92/169.57 (assume @p28 @t212) % 168.92/169.57 (assume @p29 @t216) % 168.92/169.57 (assume @p30 (= tptp.emptyinunitempty @t217)) % 168.92/169.57 (assume @p31 @t219) % 168.92/169.57 (assume @p32 @t227) % 168.92/169.57 (assume @p33 @t230) % 168.92/169.57 (assume @p34 @t234) % 168.92/169.57 (assume @p35 @t237) % 168.92/169.57 (assume @p36 @t240) % 168.92/169.57 (assume @p37 (= tptp.emptyInPowerset @t239)) % 168.92/169.57 (assume @p38 @t243) % 168.92/169.57 (assume @p39 @t247) % 168.92/169.57 (assume @p40 @t254) % 168.92/169.57 (assume @p41 @t258) % 168.92/169.57 (assume @p42 @t305) % 168.92/169.57 (assume @p43 true) % 168.92/169.57 (step @p44 (= tptp.exu @t306) :rule refl :args (@t306)) % 168.92/169.57 (step @p45 (= tptp.prop2set @t311) :rule refl :args (@t311)) % 168.92/169.57 (step @p46 (= tptp.nonempty @t312) :rule refl :args (@t312)) % 168.92/169.57 (step @p47 :rule evaluate :args ((= false true))) % 168.92/169.57 (step @p48 :rule refl :args (@t367)) % 168.92/169.57 (step @p49 :rule refl :args (@t377)) % 168.92/169.57 (step @p50 :rule refl :args (@t384)) % 168.92/169.57 (step @p51 :rule refl :args (@t129)) % 168.92/169.57 (step @p52 :rule eq-symm :args (@t372 @t371)) % 168.92/169.57 (step @p53 :rule refl :args (@t382)) % 168.92/169.57 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t385)) % 168.92/169.57 (step @p55 :rule cong :premises (@p54) :args (@t386)) % 168.92/169.57 (step @p56 :rule cong :premises (@p55) :args (@t387)) % 168.92/169.57 (step @p57 :rule refl :args (@t351)) % 168.92/169.57 (step @p58 :rule refl :args (@t327)) % 168.92/169.57 (step @p59 :rule nary_cong :premises (@p58 @p57 @p56 @p51) :args (@t388)) % 168.92/169.57 (step @p60 :rule cong :premises (@p59) :args (@t389)) % 168.92/169.57 (step @p61 :rule cong :premises (@p60) :args (@t390)) % 168.92/169.57 (step @p62 :rule refl :args (@t394)) % 168.92/169.57 (step @p63 :rule nary_cong :premises (@p62 @p61 @p50 @p49) :args (@t395)) % 168.92/169.57 (step @p64 :rule cong :premises (@p63) :args (@t396)) % 168.92/169.57 (step @p65 :rule cong :premises (@p64) :args (@t397)) % 168.92/169.57 (step @p66 :rule cong :premises (@p65) :args (@t398)) % 168.92/169.57 (step @p67 :rule cong :premises (@p66 @p48) :args (@t399)) % 168.92/169.57 (step @p68 :rule refl :args (@t402)) % 168.92/169.57 (step @p69 :rule cong :premises (@p68 @p67) :args (@t403)) % 168.92/169.57 (step @p70 :rule refl :args (@t409)) % 168.92/169.57 (step @p71 :rule cong :premises (@p70 @p69) :args (@t410)) % 168.92/169.57 (step @p72 :rule refl :args (@t416)) % 168.92/169.57 (step @p73 :rule cong :premises (@p72 @p71) :args (@t417)) % 168.92/169.57 (step @p74 :rule refl :args (@t418)) % 168.92/169.57 (step @p75 :rule cong :premises (@p74 @p73) :args (@t419)) % 168.92/169.57 (step @p76 :rule refl :args (@t420)) % 168.92/169.57 (step @p77 :rule cong :premises (@p76 @p75) :args (@t421)) % 168.92/169.57 (step @p78 :rule refl :args (@t422)) % 168.92/169.57 (step @p79 :rule cong :premises (@p78 @p77) :args (@t423)) % 168.92/169.57 (step @p80 :rule eq-symm :args (@t338 @t335)) % 168.92/169.57 (step @p81 :rule cong :premises (@p80) :args (@t424)) % 168.92/169.57 (step @p82 :rule cong :premises (@p81 @p79) :args (@t425)) % 168.92/169.57 (step @p83 :rule refl :args (@t426)) % 168.92/169.57 (step @p84 :rule cong :premises (@p83 @p82) :args (@t427)) % 168.92/169.57 (step @p85 :rule refl :args (@t363)) % 168.92/169.57 (step @p86 :rule cong :premises (@p85 @p84) :args (@t428)) % 168.92/169.57 (step @p87 :rule refl :args (@t429)) % 168.92/169.57 (step @p88 :rule cong :premises (@p87 @p86) :args (@t430)) % 168.92/169.57 (step @p89 :rule cong :premises (@p88) :args (@t431)) % 168.92/169.57 ; WARNING: add trust step for TRUST % 168.92/169.57 ; trust TRUST PREPROCESS_HO_ELIM % 168.92/169.57 (step @p90 :rule trust :premises () :args ((= @t577 @t431))) % 168.92/169.57 ; trust TRUST PREPROCESS_HO_ELIM % 168.92/169.57 (step @p91 :rule trust :premises () :args ((= (not (=> @t576 (=> @t488 (=> @t574 (=> @t572 (=> @t571 (=> @t50 (=> @t570 (=> @t568 (=> @t556 (=> @t546 (=> @t540 (=> @t497 (=> @t493 (=> @t492 (=> @t491 @t583)))))))))))))))) @t577))) % 168.92/169.57 (step @p92 :rule bool-impl-true2 :args (@t583)) % 168.92/169.57 (step @p93 :rule refl :args (@t491)) % 168.92/169.57 (step @p94 :rule cong :premises (@p93 @p92) :args (@t584)) % 168.92/169.57 (step @p95 :rule refl :args (@t492)) % 168.92/169.57 (step @p96 :rule cong :premises (@p95 @p94) :args (@t585)) % 168.92/169.57 (step @p97 :rule refl :args (@t493)) % 168.92/169.57 (step @p98 :rule cong :premises (@p97 @p96) :args (@t586)) % 168.92/169.57 (step @p99 :rule refl :args (@t497)) % 168.92/169.57 (step @p100 :rule cong :premises (@p99 @p98) :args (@t587)) % 168.92/169.57 (step @p101 :rule refl :args (@t540)) % 168.92/169.57 (step @p102 :rule cong :premises (@p101 @p100) :args (@t588)) % 168.92/169.57 (step @p103 :rule refl :args (@t546)) % 168.92/169.57 (step @p104 :rule cong :premises (@p103 @p102) :args (@t589)) % 168.92/169.57 (step @p105 :rule refl :args (@t556)) % 168.92/169.57 (step @p106 :rule cong :premises (@p105 @p104) :args (@t590)) % 168.92/169.57 (step @p107 :rule refl :args (@t568)) % 168.92/169.57 (step @p108 :rule cong :premises (@p107 @p106) :args (@t591)) % 168.92/169.57 (step @p109 :rule refl :args (@t570)) % 168.92/169.57 (step @p110 :rule cong :premises (@p109 @p108) :args (@t592)) % 168.92/169.57 (step @p111 :rule refl :args (@t50)) % 168.92/169.57 (step @p112 :rule cong :premises (@p111 @p110) :args (@t593)) % 168.92/169.57 (step @p113 :rule refl :args (@t571)) % 168.92/169.57 (step @p114 :rule cong :premises (@p113 @p112) :args (@t594)) % 168.92/169.57 (step @p115 :rule refl :args (@t572)) % 168.92/169.57 (step @p116 :rule cong :premises (@p115 @p114) :args (@t595)) % 168.92/169.57 (step @p117 :rule refl :args (@t574)) % 168.92/169.57 (step @p118 :rule cong :premises (@p117 @p116) :args (@t596)) % 168.92/169.57 (step @p119 :rule refl :args (@t488)) % 168.92/169.57 (step @p120 :rule cong :premises (@p119 @p118) :args (@t597)) % 168.92/169.57 (step @p121 :rule refl :args (@t576)) % 168.92/169.57 (step @p122 :rule cong :premises (@p121 @p120) :args (@t598)) % 168.92/169.57 (step @p123 :rule cong :premises (@p122) :args ((not @t598))) % 168.92/169.57 (step @p124 :rule refl :args (@t438)) % 168.92/169.57 (step @p125 :rule refl :args ((tptp.in @t4 @t255))) % 168.92/169.57 (step @p126 :rule refl :args ((tptp.powerset @t43))) % 168.92/169.57 (step @p127 :rule refl :args (@t439)) % 168.92/169.57 (step @p128 :rule cong :premises (@p127) :args (@t440)) % 168.92/169.57 (step @p129 :rule trans :premises (@p128 @p126)) % 168.92/169.57 (step @p130 :rule refl :args (@t4)) % 168.92/169.57 (step @p131 :rule cong :premises (@p130 @p129) :args (@t441)) % 168.92/169.57 (step @p132 :rule trans :premises (@p131 @p125)) % 168.92/169.57 (step @p133 :rule refl :args (@t5)) % 168.92/169.57 (step @p134 :rule ho_cong :premises (@p133 @p129)) % 168.92/169.57 (step @p135 :rule cong :premises (@p134 @p132) :args ((= (_ @t5 @t440) @t441))) % 168.92/169.57 (step @p136 :rule symm :premises (@p135)) % 168.92/169.57 (step @p137 :rule refl :args (@t256)) % 168.92/169.57 (step @p138 :rule eq_resolve :premises (@p137 @p136)) % 168.92/169.57 (step @p139 :rule refl :args (tptp.powerset)) % 168.92/169.57 (step @p140 :rule ho_cong :premises (@p139 @p127)) % 168.92/169.57 (step @p141 :rule cong :premises (@p140 @p129) :args ((= (_ tptp.powerset @t439) @t440))) % 168.92/169.57 (step @p142 :rule symm :premises (@p141)) % 168.92/169.57 (step @p143 :rule refl :args (@t255)) % 168.92/169.57 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 168.92/169.57 (step @p145 :rule refl :args (@t43)) % 168.92/169.57 (step @p146 :rule cong :premises (@p145 @p127) :args ((= @t43 @t439))) % 168.92/169.57 (step @p147 :rule symm :premises (@p146)) % 168.92/169.57 (step @p148 :rule eq_resolve :premises (@p145 @p147)) % 168.92/169.57 (step @p149 :rule ho_cong :premises (@p139 @p148)) % 168.92/169.57 (step @p150 :rule trans :premises (@p149 @p144)) % 168.92/169.57 (step @p151 :rule ho_cong :premises (@p133 @p150)) % 168.92/169.57 (step @p152 :rule trans :premises (@p151 @p138)) % 168.92/169.57 (step @p153 :rule refl :args (@t442)) % 168.92/169.57 (step @p154 :rule refl :args (@t7)) % 168.92/169.57 (step @p155 :rule cong :premises (@p154 @p153) :args ((= @t7 @t442))) % 168.92/169.57 (step @p156 :rule symm :premises (@p155)) % 168.92/169.57 (step @p157 :rule eq_resolve :premises (@p154 @p156)) % 168.92/169.57 (step @p158 :rule cong :premises (@p157) :args (@t194)) % 168.92/169.57 (step @p159 :rule nary_cong :premises (@p158 @p152) :args (@t599)) % 168.92/169.57 (step @p160 :rule cong :premises (@p159) :args ((forall @t46 @t599))) % 168.92/169.57 (step @p161 :rule bool-impl-elim :args (@t7 @t256)) % 168.92/169.57 (step @p162 :rule cong :premises (@p161) :args (@t257)) % 168.92/169.57 (step @p163 :rule trans :premises (@p162 @p160)) % 168.92/169.57 (step @p164 :rule refl :args (tptp.subPowSU)) % 168.92/169.57 (step @p165 :rule cong :premises (@p164 @p163) :args (@t258)) % 168.92/169.57 (step @p166 :rule eq_resolve :premises (@p41 @p165)) % 168.92/169.57 (step @p167 :rule cong :premises (@p166 @p124) :args (@t600)) % 168.92/169.57 (step @p168 :rule refl :args (@t449)) % 168.92/169.57 (step @p169 :rule refl :args ((tptp.in @t4 @t43))) % 168.92/169.57 (step @p170 :rule cong :premises (@p130 @p127) :args (@t450)) % 168.92/169.57 (step @p171 :rule trans :premises (@p170 @p169)) % 168.92/169.57 (step @p172 :rule ho_cong :premises (@p133 @p127)) % 168.92/169.57 (step @p173 :rule cong :premises (@p172 @p171) :args ((= (_ @t5 @t439) @t450))) % 168.92/169.57 (step @p174 :rule symm :premises (@p173)) % 168.92/169.57 (step @p175 :rule refl :args (@t44)) % 168.92/169.57 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 168.92/169.57 (step @p177 :rule ho_cong :premises (@p133 @p148)) % 168.92/169.57 (step @p178 :rule trans :premises (@p177 @p176)) % 168.92/169.57 (step @p179 :rule cong :premises (@p178) :args (@t601)) % 168.92/169.57 (step @p180 :rule nary_cong :premises (@p179 @p168) :args (@t602)) % 168.92/169.57 (step @p181 :rule cong :premises (@p180) :args ((forall @t46 @t602))) % 168.92/169.57 (step @p182 :rule bool-impl-elim :args (@t44 @t449)) % 168.92/169.57 (step @p183 :rule cong :premises (@p182) :args ((forall @t46 (=> @t44 @t449)))) % 168.92/169.57 (step @p184 :rule trans :premises (@p183 @p181)) % 168.92/169.57 (step @p185 :rule aci_norm :args ((= (and true @t449) @t449))) % 168.92/169.57 (step @p186 :rule refl :args (@t449)) % 168.92/169.57 (step @p187 :rule evaluate :args (@t603)) % 168.92/169.57 (step @p188 :rule nary_cong :premises (@p187 @p186) :args (@t604)) % 168.92/169.57 (step @p189 :rule trans :premises (@p188 @p185)) % 168.92/169.57 (step @p190 :rule aci_norm :args ((= @t605 @t604))) % 168.92/169.57 (step @p191 :rule trans :premises (@p190 @p189)) % 168.92/169.57 (step @p192 :rule quant-var-elim-eq :args ((= (forall @t177 (or @t608 @t607 @t172)) @t605))) % 168.92/169.57 (step @p193 :rule refl :args (@t172)) % 168.92/169.57 (step @p194 :rule refl :args (@t607)) % 168.92/169.57 (step @p195 :rule bool-eq-false :args (@t172)) % 168.92/169.57 (step @p196 :rule symm :premises (@p195)) % 168.92/169.57 (step @p197 :rule cong :premises (@p196) :args ((not @t606))) % 168.92/169.57 (step @p198 :rule bool-double-not-elim :args (@t172)) % 168.92/169.57 (step @p199 :rule symm :premises (@p198)) % 168.92/169.57 (step @p200 :rule trans :premises (@p199 @p197)) % 168.92/169.57 (step @p201 :rule nary_cong :premises (@p200 @p194 @p193) :args (@t609)) % 168.92/169.57 (step @p202 :rule aci_norm :args ((= @t610 @t609))) % 168.92/169.57 (step @p203 :rule trans :premises (@p202 @p201)) % 168.92/169.57 (step @p204 :rule cong :premises (@p203) :args ((forall @t177 @t610))) % 168.92/169.57 (step @p205 :rule trans :premises (@p204 @p192)) % 168.92/169.57 (step @p206 :rule trans :premises (@p205 @p191)) % 168.92/169.57 (step @p207 :rule bool-or-de-morgan :args (@t172 @t448 false)) % 168.92/169.57 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(@p1603 @p1745) :args (@t303)) % 168.92/169.58 (step @p1747 :rule cong :premises (@p1614 @p1746) :args (@t304)) % 168.92/169.58 (step @p1748 :rule cong :premises (@p1747) :args (@t305)) % 168.92/169.58 (step @p1749 :rule trans :premises (@p1748 @p1703)) % 168.92/169.58 (step @p1750 :rule trans :premises (@p1749 @p1619 @p91 @p90 @p89)) % 168.92/169.58 (step @p1751 :rule eq_resolve :premises (@p42 @p1750)) % 168.92/169.58 (step @p1752 :rule not_implies_elim2 :premises (@p1751)) % 168.92/169.58 (step @p1753 :rule not_implies_elim2 :premises (@p1752)) % 168.92/169.58 (step @p1754 :rule not_implies_elim2 :premises (@p1753)) % 168.92/169.58 (step @p1755 :rule not_implies_elim2 :premises (@p1754)) % 168.92/169.58 (step @p1756 :rule not_implies_elim2 :premises (@p1755)) % 168.92/169.58 (step @p1757 :rule not_implies_elim2 :premises (@p1756)) % 168.92/169.58 (step @p1758 :rule not_implies_elim2 :premises (@p1757)) % 168.92/169.58 (step @p1759 :rule not_implies_elim2 :premises (@p1758)) % 168.92/169.58 (step @p1760 :rule not_implies_elim2 :premises (@p1759)) % 168.92/169.58 (step @p1761 :rule not_implies_elim2 :premises (@p1760)) % 168.92/169.58 (step @p1762 :rule not_implies_elim2 :premises (@p1761)) % 168.92/169.58 (step @p1763 :rule not_implies_elim2 :premises (@p1762)) % 168.92/169.58 (step @p1764 :rule not_implies_elim2 :premises (@p1763)) % 168.92/169.58 (step @p1765 :rule not_implies_elim2 :premises (@p1764)) % 168.92/169.58 (step @p1766 :rule not_implies_elim2 :premises (@p1765)) % 168.92/169.58 (step @p1767 :rule not_implies_elim2 :premises (@p1766)) % 168.92/169.58 (step @p1768 :rule not_implies_elim2 :premises (@p1767)) % 168.92/169.58 (step @p1769 :rule not_implies_elim2 :premises (@p1768)) % 168.92/169.58 (step @p1770 :rule not_implies_elim2 :premises (@p1769)) % 168.92/169.58 (step @p1771 :rule not_implies_elim2 :premises (@p1770)) % 168.92/169.58 (step @p1772 :rule not_implies_elim2 :premises (@p1771)) % 168.92/169.58 (step @p1773 :rule not_implies_elim2 :premises (@p1772)) % 168.92/169.58 (step @p1774 :rule not_implies_elim2 :premises (@p1773)) % 168.92/169.58 (step @p1775 :rule not_implies_elim2 :premises (@p1774)) % 168.92/169.58 (step @p1776 :rule not_implies_elim2 :premises (@p1775)) % 168.92/169.58 (step @p1777 :rule not_implies_elim2 :premises (@p1776)) % 168.92/169.58 (step @p1778 :rule not_implies_elim2 :premises (@p1777)) % 168.92/169.58 (step @p1779 :rule not_implies_elim2 :premises (@p1778)) % 168.92/169.58 (step @p1780 :rule not_implies_elim2 :premises (@p1779)) % 168.92/169.58 (step @p1781 :rule not_implies_elim2 :premises (@p1780)) % 168.92/169.58 (step @p1782 :rule not_implies_elim2 :premises (@p1781)) % 168.92/169.58 (step @p1783 :rule not_implies_elim2 :premises (@p1782)) % 168.92/169.58 (step @p1784 :rule not_implies_elim2 :premises (@p1783)) % 168.92/169.58 (step @p1785 :rule not_implies_elim2 :premises (@p1784)) % 168.92/169.58 (step @p1786 :rule not_implies_elim2 :premises (@p1785)) % 168.92/169.58 (step @p1787 :rule not_implies_elim2 :premises (@p1786)) % 168.92/169.58 (step @p1788 :rule not_implies_elim2 :premises (@p1787)) % 168.92/169.58 (step @p1789 :rule not_implies_elim2 :premises (@p1788)) % 168.92/169.58 (step @p1790 :rule not_implies_elim2 :premises (@p1789)) % 168.92/169.58 (step @p1791 :rule not_implies_elim2 :premises (@p1790)) % 168.92/169.58 (step @p1792 :rule skolemize :premises (@p1791)) % 168.92/169.58 (step @p1793 :rule bool-double-not-elim :args (@t1006)) % 168.92/169.58 (step @p1794 :rule refl :args (@t1014)) % 168.92/169.58 (step @p1795 :rule nary_cong :premises (@p1794 @p1793) :args ((or @t1014 (not @t1011)))) % 168.92/169.58 (step @p1796 :rule cnf_or_neg :args (@t1014 1)) % 168.92/169.58 (step @p1797 :rule eq_resolve :premises (@p1796 @p1795)) % 168.92/169.58 (step @p1798 :rule reordering :premises (@p1797) :args ((or @t1006 @t1014))) % 168.92/169.58 (step @p1799 :rule chain_m_resolution :premises (@p1798 @p1792) :args (@t1006 @t1015 @t1016)) % 168.92/169.58 (step @p1800 :rule true_intro :premises (@p1799)) % 168.92/169.58 (step @p1801 :rule bool-double-not-elim :args (@t1012)) % 168.92/169.58 (step @p1802 :rule nary_cong :premises (@p1794 @p1801) :args ((or @t1014 (not @t1013)))) % 168.92/169.58 (step @p1803 :rule cnf_or_neg :args (@t1014 0)) % 168.92/169.58 (step @p1804 :rule eq_resolve :premises (@p1803 @p1802)) % 168.92/169.58 (step @p1805 :rule reordering :premises (@p1804) :args ((or @t1012 @t1014))) % 168.92/169.58 (step @p1806 :rule chain_m_resolution :premises (@p1805 @p1792) :args (@t1012 @t1015 @t1016)) % 168.92/169.58 (step @p1807 :rule eq-symm :args (@t1004 @t19)) % 168.92/169.58 (step @p1808 :rule refl :args (@t1008)) % 168.92/169.58 (step @p1809 :rule cong :premises (@p1808 @p1807) :args ((= @t1008 @t1017))) % 168.92/169.58 (step @p1810 :rule eq-symm :args (@t1017 @t1008)) % 168.92/169.58 (step @p1811 :rule trans :premises (@p1810 @p1809)) % 168.92/169.58 (step @p1812 :rule cong :premises (@p1811) :args (@t1018)) % 168.92/169.58 (step @p1813 :rule cong :premises (@p1812) :args (@t1019)) % 168.92/169.58 (step @p1814 :rule refl :args (@t1012)) % 168.92/169.58 (step @p1815 :rule cong :premises (@p1814 @p1813) :args ((=> @t1012 @t1019))) % 168.92/169.58 (assume-push @p1871 @t1012) % 168.92/169.58 (step @p1817 :rule instantiate :premises (@p1806) :args ((@list @t1004))) % 168.92/169.58 (step-pop @p1872 :rule scope :premises (@p1817)) % 168.92/169.58 (step @p1818 :rule process_scope :premises (@p1872) :args (@t1019)) % 168.92/169.58 (step @p1820 :rule eq_resolve :premises (@p1818 @p1815)) % 168.92/169.58 (step @p1821 :rule implies_elim :premises (@p1820)) % 168.92/169.58 (step @p1822 :rule chain_m_resolution :premises (@p1821 @p1806) :args (@t1021 @t1022 (@list @t1012))) % 168.92/169.58 (step @p1823 :rule refl :args (@t1027)) % 168.92/169.58 (step @p1824 :rule bool-double-not-elim :args (@t1020)) % 168.92/169.58 (step @p1825 :rule nary_cong :premises (@p1824 @p1823) :args ((or (not @t1021) @t1027))) % 168.92/169.58 (step @p1826 :rule eq-symm :args (@t1023 @t1004)) % 168.92/169.58 (step @p1827 :rule refl :args (@t1025)) % 168.92/169.58 (step @p1828 :rule cong :premises (@p1827 @p1826) :args (@t1029)) % 168.92/169.58 (step @p1829 :rule cong :premises (@p1828) :args (@t1030)) % 168.92/169.58 (step @p1830 :rule refl :args (@t1021)) % 168.92/169.58 (step @p1831 :rule cong :premises (@p1830 @p1829) :args ((=> @t1021 @t1030))) % 168.92/169.58 (assume-push @p1873 @t1021) % 168.92/169.58 (step @p1833 :rule skolemize :premises (@p1822)) % 168.92/169.58 (step-pop @p1874 :rule scope :premises (@p1833)) % 168.92/169.58 (step @p1834 :rule process_scope :premises (@p1874) :args (@t1030)) % 168.92/169.58 (step @p1836 :rule eq_resolve :premises (@p1834 @p1831)) % 168.92/169.58 (step @p1837 :rule implies_elim :premises (@p1836)) % 168.92/169.58 (step @p1838 :rule eq_resolve :premises (@p1837 @p1825)) % 168.92/169.58 (step @p1839 :rule chain_m_resolution :premises (@p1838 @p1822) :args (@t1027 @t1015 (@list @t1020))) % 168.92/169.58 (step @p1840 :rule cnf_equiv_neg2 :args (@t1026)) % 168.92/169.58 (step @p1841 :rule bool-double-not-elim :args (@t1009)) % 168.92/169.58 (step @p1842 :rule nary_cong :premises (@p1794 @p1841) :args ((or @t1014 (not @t1010)))) % 168.92/169.58 (step @p1843 :rule cnf_or_neg :args (@t1014 2)) % 168.92/169.58 (step @p1844 :rule eq_resolve :premises (@p1843 @p1842)) % 168.92/169.58 (step @p1845 :rule reordering :premises (@p1844) :args ((or @t1009 @t1014))) % 168.92/169.58 (step @p1846 :rule chain_m_resolution :premises (@p1845 @p1792) :args (@t1009 @t1015 @t1016)) % 168.92/169.58 (step @p1847 :rule refl :args (@t1031)) % 168.92/169.58 (step @p1848 :rule nary_cong :premises (@p1847 @p1826) :args (@t1032)) % 168.92/169.58 (step @p1849 :rule refl :args (@t1009)) % 168.92/169.58 (step @p1850 :rule cong :premises (@p1849 @p1848) :args ((=> @t1009 @t1032))) % 168.92/169.58 (assume-push @p1875 @t1009) % 168.92/169.58 (step @p1852 :rule instantiate :premises (@p1846) :args ((@list @t1023))) % 168.92/169.58 (step-pop @p1876 :rule scope :premises (@p1852)) % 168.92/169.58 (step @p1853 :rule process_scope :premises (@p1876) :args (@t1032)) % 168.92/169.58 (step @p1855 :rule eq_resolve :premises (@p1853 @p1850)) % 168.92/169.58 (step @p1856 :rule implies_elim :premises (@p1855)) % 168.92/169.58 (step @p1857 :rule chain_m_resolution :premises (@p1856 @p1846) :args (@t1033 @t1022 (@list @t1009))) % 168.92/169.58 (step @p1858 :rule cnf_or_pos :args (@t1033)) % 168.92/169.58 (step @p1859 :rule reordering :premises (@p1858) :args ((or @t1024 @t1031 (not @t1033)))) % 168.92/169.58 (step @p1860 :rule chain_m_resolution :premises (@p1859 @p1857 @p1840 @p1839) :args (@t1031 (@list false true true) (@list @t1033 @t1024 @t1026))) % 168.92/169.58 (step @p1861 :rule cnf_equiv_neg1 :args (@t1026)) % 168.92/169.58 (step @p1862 :rule reordering :premises (@p1861) :args ((or @t1025 @t1024 @t1026))) % 168.92/169.58 (step @p1863 :rule chain_m_resolution :premises (@p1862 @p1860 @p1839) :args (@t1024 (@list true true) (@list @t1025 @t1026))) % 168.92/169.58 (step @p1864 :rule symm :premises (@p1863)) % 168.92/169.58 (step @p1865 :rule refl :args (@t1005)) % 168.92/169.58 (step @p1866 :rule cong :premises (@p1865 @p1864) :args (@t1025)) % 168.92/169.58 (step @p1867 :rule false_intro :premises (@p1860)) % 168.92/169.58 (step @p1868 :rule symm :premises (@p1867)) % 168.92/169.58 (step @p1869 :rule trans :premises (@p1868 @p1866 @p1800)) % 168.92/169.58 (step @p1870 false :rule eq_resolve :premises (@p1869 @p47)) % 168.92/169.58 ) % 168.92/169.58 % SZS output end Proof % 168.92/169.58 % cvc5 exiting %------------------------------------------------------------------------------