%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU556^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:52:11 AM UTC 2026 % Result : Theorem 0.39s 0.65s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU556^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.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 17:41:47 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.52 %----Proving TH0 % 0.39/0.65 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.65 % SZS status Theorem % 0.39/0.65 % SZS output start Proof % 0.39/0.65 ( % 0.39/0.65 (declare-sort $$unsorted 0) % 0.39/0.65 (declare-const tptp.emptyset $$unsorted) % 0.39/0.65 (declare-const tptp.powerset__Cong Bool) % 0.39/0.65 (declare-const tptp.setadjoin__Cong Bool) % 0.39/0.65 (declare-const tptp.emptyset__Cong Bool) % 0.39/0.65 (declare-const tptp.exu__Cong Bool) % 0.39/0.65 (declare-const tptp.in__Cong Bool) % 0.39/0.65 (declare-const tptp.inCongP Bool) % 0.39/0.65 (declare-const tptp.exuI3 Bool) % 0.39/0.65 (declare-const tptp.exuI1 Bool) % 0.39/0.65 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.quantDeMorgan3 Bool) % 0.39/0.65 (declare-const tptp.quantDeMorgan2 Bool) % 0.39/0.65 (declare-const tptp.quantDeMorgan1 Bool) % 0.39/0.65 (declare-const tptp.vacuousDall Bool) % 0.39/0.65 (declare-const tptp.emptyE1 Bool) % 0.39/0.65 (declare-const tptp.setunion__Cong Bool) % 0.39/0.65 (declare-const tptp.upairsetIR Bool) % 0.39/0.65 (declare-const tptp.emptysetE Bool) % 0.39/0.65 (declare-const tptp.omega__Cong Bool) % 0.39/0.65 (declare-const tptp.setadjoinIL Bool) % 0.39/0.65 (declare-const tptp.prop2setE Bool) % 0.39/0.65 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.39/0.65 (declare-const tptp.dsetconstrI Bool) % 0.39/0.65 (declare-const tptp.setext Bool) % 0.39/0.65 (declare-const tptp.nonemptyImpWitness Bool) % 0.39/0.65 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.39/0.65 (declare-const tptp.wellorderingAx Bool) % 0.39/0.65 (declare-const tptp.replAx Bool) % 0.39/0.65 (declare-const tptp.upairsetE Bool) % 0.39/0.65 (declare-const tptp.dsetconstrEL Bool) % 0.39/0.65 (declare-const tptp.prop2setI Bool) % 0.39/0.65 (declare-const tptp.emptyinPowerset Bool) % 0.39/0.65 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.setextAx Bool) % 0.39/0.65 (declare-const tptp.setadjoinOr Bool) % 0.39/0.65 (declare-const tptp.exuE3u Bool) % 0.39/0.65 (declare-const tptp.uniqinunit Bool) % 0.39/0.65 (declare-const tptp.foundationAx Bool) % 0.39/0.65 (declare-const tptp.emptysetimpfalse Bool) % 0.39/0.65 (declare-const tptp.notinemptyset Bool) % 0.39/0.65 (declare-const tptp.setadjoinIR Bool) % 0.39/0.65 (declare-const tptp.exuE2 Bool) % 0.39/0.65 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.notdallE Bool) % 0.39/0.65 (declare-const tptp.dsetconstrER Bool) % 0.39/0.65 (declare-const tptp.emptyInPowerset Bool) % 0.39/0.65 (declare-const tptp.setadjoinAx Bool) % 0.39/0.65 (declare-const tptp.nonemptyE1 Bool) % 0.39/0.65 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.39/0.65 (declare-const tptp.powersetAx Bool) % 0.39/0.65 (declare-const tptp.prop2set2propI Bool) % 0.39/0.65 (declare-const tptp.powersetE Bool) % 0.39/0.65 (declare-const tptp.omegaSAx Bool) % 0.39/0.65 (declare-const tptp.descrp Bool) % 0.39/0.65 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.omega0Ax Bool) % 0.39/0.65 (declare-const tptp.setoftrueEq Bool) % 0.39/0.65 (declare-const tptp.setunionAx Bool) % 0.39/0.65 (declare-const tptp.omega $$unsorted) % 0.39/0.65 (declare-const tptp.omegaIndAx Bool) % 0.39/0.65 (declare-const tptp.quantDeMorgan4 Bool) % 0.39/0.65 (declare-const tptp.powersetI Bool) % 0.39/0.65 (declare-const tptp.exuE3e Bool) % 0.39/0.65 (declare-const tptp.emptyI Bool) % 0.39/0.65 (declare-const tptp.noeltsimpempty Bool) % 0.39/0.65 (declare-const tptp.eqinunit Bool) % 0.39/0.65 (declare-const tptp.upairsetIL Bool) % 0.39/0.65 (declare-const tptp.nonemptyI Bool) % 0.39/0.65 (declare-const tptp.emptysetAx Bool) % 0.39/0.65 (declare-const tptp.nonemptyI1 Bool) % 0.39/0.65 (declare-const tptp.emptyinunitempty Bool) % 0.39/0.65 (declare-const tptp.setadjoinE Bool) % 0.39/0.65 (declare-const tptp.notdexE Bool) % 0.39/0.65 (declare-const tptp.setunionI Bool) % 0.39/0.65 (declare-const tptp.exuE1 Bool) % 0.39/0.65 (declare-const tptp.setunionE Bool) % 0.39/0.65 (declare-const tptp.exuI2 Bool) % 0.39/0.65 (declare-const tptp.subPowSU Bool) % 0.39/0.65 (declare-const tptp.notinsingleton Bool) % 0.39/0.65 (declare-const tptp.setbeta Bool) % 0.39/0.65 (declare-const tptp.singletonsswitch Bool) % 0.39/0.65 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.39/0.65 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.39/0.65 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.65 (define @t2 () (@var "A" $$unsorted)) % 0.39/0.65 (define @t3 () (= @t2 @t1)) % 0.39/0.65 (define @t4 () (@var "Xx" $$unsorted)) % 0.39/0.65 (define @t5 () (_ tptp.in @t4)) % 0.39/0.65 (define @t6 () (_ @t5 @t1)) % 0.39/0.65 (define @t7 () (_ @t5 @t2)) % 0.39/0.65 (define @t8 () (@list @t4)) % 0.39/0.65 (define @t9 () (@list @t2 @t1)) % 0.39/0.65 (define @t10 () (_ @t5 tptp.emptyset)) % 0.39/0.65 (define @t11 () (forall @t8 (not @t10))) % 0.39/0.65 (define @t12 () (@var "Xy" $$unsorted)) % 0.39/0.65 (define @t13 () (_ tptp.in @t12)) % 0.39/0.65 (define @t14 () (_ @t13 @t2)) % 0.39/0.65 (define @t15 () (= @t12 @t4)) % 0.39/0.65 (define @t16 () (or @t15 @t14)) % 0.39/0.65 (define @t17 () (_ tptp.setadjoin @t4)) % 0.39/0.65 (define @t18 () (_ @t13 (_ @t17 @t2))) % 0.39/0.65 (define @t19 () (@list @t4 @t2 @t12)) % 0.39/0.65 (define @t20 () (=> @t6 @t7)) % 0.39/0.65 (define @t21 () (forall @t8 @t20)) % 0.39/0.65 (define @t22 () (_ tptp.powerset @t2)) % 0.39/0.65 (define @t23 () (_ tptp.in @t1)) % 0.39/0.65 (define @t24 () (_ @t23 @t22)) % 0.39/0.65 (define @t25 () (_ @t23 @t2)) % 0.39/0.65 (define @t26 () (@list @t1)) % 0.39/0.65 (define @t27 () (_ tptp.setunion @t2)) % 0.39/0.65 (define @t28 () (_ @t5 @t27)) % 0.39/0.65 (define @t29 () (@list @t2 @t4)) % 0.39/0.65 (define @t30 () (_ tptp.in tptp.emptyset)) % 0.39/0.65 (define @t31 () (_ tptp.in (_ @t17 @t4))) % 0.39/0.65 (define @t32 () (_ @t5 tptp.omega)) % 0.39/0.65 (define @t33 () (@list @t2)) % 0.39/0.65 (define @t34 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.39/0.65 (define @t35 () (@list @t12)) % 0.39/0.65 (define @t36 () (exists @t8 @t7)) % 0.39/0.65 (define @t37 () (@var "E" $$unsorted)) % 0.39/0.65 (define @t38 () (@var "D" $$unsorted)) % 0.39/0.65 (define @t39 () (_ @t13 @t38)) % 0.39/0.65 (define @t40 () (@var "C" $$unsorted)) % 0.39/0.65 (define @t41 () (_ @t13 @t40)) % 0.39/0.65 (define @t42 () (_ @t5 @t40)) % 0.39/0.65 (define @t43 () (_ (_ tptp.in @t38) @t1)) % 0.39/0.65 (define @t44 () (forall @t8 (=> @t42 @t7))) % 0.39/0.65 (define @t45 () (@list @t40)) % 0.39/0.65 (define @t46 () (_ @t5 @t38)) % 0.39/0.65 (define @t47 () (_ (_ tptp.in @t40) @t1)) % 0.39/0.65 (define @t48 () (= @t4 @t12)) % 0.39/0.65 (define @t49 () (@list @t4 @t12)) % 0.39/0.65 (define @t50 () (@var "Xphi" (-> $$unsorted Bool))) % 0.39/0.65 (define @t51 () (_ @t50 @t4)) % 0.39/0.65 (define @t52 () (lambda @t8 @t51)) % 0.39/0.65 (define @t53 () (_ tptp.exu @t52)) % 0.39/0.65 (define @t54 () (@list @t50)) % 0.39/0.65 (define @t55 () (_ @t50 @t12)) % 0.39/0.65 (define @t56 () (_ tptp.dsetconstr @t2)) % 0.39/0.65 (define @t57 () (_ @t56 (lambda @t35 @t55))) % 0.39/0.65 (define @t58 () (_ @t5 @t57)) % 0.39/0.65 (define @t59 () (@list @t2 @t50 @t4)) % 0.39/0.65 (define @t60 () (=> @t55 @t48)) % 0.39/0.65 (define @t61 () (forall @t35 @t60)) % 0.39/0.65 (define @t62 () (and @t51 @t61)) % 0.39/0.65 (define @t63 () (exists @t8 @t62)) % 0.39/0.65 (define @t64 () (@var "Xphi" Bool)) % 0.39/0.65 (define @t65 () (_ tptp.prop2set @t64)) % 0.39/0.65 (define @t66 () (@list @t64)) % 0.39/0.65 (define @t67 () (exists @t8 @t51)) % 0.39/0.65 (define @t68 () (forall @t33 (=> (forall @t8 (not @t7)) (= @t2 tptp.emptyset)))) % 0.39/0.65 (define @t69 () (_ tptp.nonempty @t2)) % 0.39/0.65 (define @t70 () (forall @t33 (_ @t30 @t22))) % 0.39/0.65 (define @t71 () (exists @t8 (forall @t35 (= @t55 @t15)))) % 0.39/0.65 (define @t72 () (_ tptp.setadjoin @t12)) % 0.39/0.65 (define @t73 () (_ @t72 tptp.emptyset)) % 0.39/0.65 (define @t74 () (_ @t5 @t73)) % 0.39/0.65 (define @t75 () (_ @t13 (_ @t17 tptp.emptyset))) % 0.39/0.65 (define @t76 () (@var "Xz" $$unsorted)) % 0.39/0.65 (define @t77 () (_ @t17 @t73)) % 0.39/0.65 (define @t78 () (exists @t8 (and @t7 @t51))) % 0.39/0.65 (define @t79 () (@list @t2 @t50)) % 0.39/0.65 (define @t80 () (not @t51)) % 0.39/0.65 (define @t81 () (exists @t8 (and @t7 @t80))) % 0.39/0.65 (define @t82 () (not (forall @t8 (=> @t7 @t51)))) % 0.39/0.65 (define @t83 () (forall @t79 (=> @t82 @t81))) % 0.39/0.65 (define @t84 () (not @t78)) % 0.39/0.65 (define @t85 () (forall @t8 (=> @t7 @t80))) % 0.39/0.65 (define @t86 () (forall @t79 (=> @t84 @t85))) % 0.39/0.65 (define @t87 () (forall @t49 (=> @t51 @t60))) % 0.39/0.65 (define @t88 () (_ @t13 @t1)) % 0.39/0.65 (define @t89 () (=> @t53 @t87)) % 0.39/0.65 (define @t90 () (forall @t54 @t89)) % 0.39/0.65 (define @t91 () (= tptp.exuE3u @t90)) % 0.39/0.65 (define @t92 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.39/0.65 (define @t93 () (@var "Xu" $$unsorted)) % 0.39/0.65 (define @t94 () (=> tptp.omega__Cong @t90)) % 0.39/0.65 (define @t95 () (=> tptp.setunion__Cong @t94)) % 0.39/0.65 (define @t96 () (=> tptp.powerset__Cong @t95)) % 0.39/0.65 (define @t97 () (=> tptp.setadjoin__Cong @t96)) % 0.39/0.65 (define @t98 () (=> tptp.emptyset__Cong @t97)) % 0.39/0.65 (define @t99 () (=> tptp.exu__Cong @t98)) % 0.39/0.65 (define @t100 () (=> tptp.exuE3u @t99)) % 0.39/0.65 (define @t101 () (=> tptp.in__Cong @t100)) % 0.39/0.65 (define @t102 () (=> tptp.inCongP @t101)) % 0.39/0.65 (define @t103 () (=> tptp.exuI2 @t102)) % 0.39/0.65 (define @t104 () (=> tptp.exuI3 @t103)) % 0.39/0.65 (define @t105 () (=> tptp.exuI1 @t104)) % 0.39/0.65 (define @t106 () (=> tptp.notdallE @t105)) % 0.39/0.65 (define @t107 () (=> tptp.notdexE @t106)) % 0.39/0.65 (define @t108 () (=> tptp.prop2set2propI @t107)) % 0.39/0.65 (define @t109 () (=> tptp.prop2setI @t108)) % 0.39/0.65 (define @t110 () (=> tptp.quantDeMorgan4 @t109)) % 0.39/0.65 (define @t111 () (=> tptp.quantDeMorgan3 @t110)) % 0.39/0.65 (define @t112 () (=> tptp.quantDeMorgan2 @t111)) % 0.39/0.65 (define @t113 () (=> tptp.quantDeMorgan1 @t112)) % 0.39/0.65 (define @t114 () (=> tptp.vacuousDall @t113)) % 0.39/0.65 (define @t115 () (=> tptp.emptyE1 @t114)) % 0.39/0.65 (define @t116 () (=> tptp.upairsetIR @t115)) % 0.39/0.65 (define @t117 () (=> tptp.upairsetIL @t116)) % 0.39/0.65 (define @t118 () (=> tptp.upairsetE @t117)) % 0.39/0.65 (define @t119 () (=> tptp.singletonsswitch @t118)) % 0.39/0.65 (define @t120 () (=> tptp.eqinunit @t119)) % 0.39/0.65 (define @t121 () (=> tptp.notinsingleton @t120)) % 0.39/0.65 (define @t122 () (=> tptp.uniqinunit @t121)) % 0.39/0.65 (define @t123 () (=> tptp.nonemptyImpWitness @t122)) % 0.39/0.65 (define @t124 () (=> tptp.exuE2 @t123)) % 0.39/0.65 (define @t125 () (=> tptp.subPowSU @t124)) % 0.39/0.65 (define @t126 () (=> tptp.setunionE @t125)) % 0.39/0.65 (define @t127 () (=> tptp.setunionI @t126)) % 0.39/0.65 (define @t128 () (=> tptp.powersetE @t127)) % 0.39/0.65 (define @t129 () (=> tptp.emptyInPowerset @t128)) % 0.39/0.65 (define @t130 () (=> tptp.emptyinPowerset @t129)) % 0.39/0.65 (define @t131 () (=> tptp.powersetI @t130)) % 0.39/0.65 (define @t132 () (=> tptp.setoftrueEq @t131)) % 0.39/0.65 (define @t133 () (=> tptp.setadjoinOr @t132)) % 0.39/0.65 (define @t134 () (=> tptp.setadjoinE @t133)) % 0.39/0.65 (define @t135 () (=> tptp.setadjoinIR @t134)) % 0.39/0.65 (define @t136 () (=> tptp.emptyinunitempty @t135)) % 0.39/0.65 (define @t137 () (=> tptp.setadjoinIL @t136)) % 0.39/0.65 (define @t138 () (=> tptp.nonemptyI1 @t137)) % 0.39/0.65 (define @t139 () (=> tptp.nonemptyI @t138)) % 0.39/0.65 (define @t140 () (=> tptp.nonemptyE1 @t139)) % 0.39/0.65 (define @t141 () (=> tptp.setbeta @t140)) % 0.39/0.65 (define @t142 () (=> tptp.noeltsimpempty @t141)) % 0.39/0.65 (define @t143 () (=> tptp.emptyI @t142)) % 0.39/0.65 (define @t144 () (=> tptp.setext @t143)) % 0.39/0.65 (define @t145 () (=> tptp.exuE3e @t144)) % 0.39/0.65 (define @t146 () (=> tptp.notinemptyset @t145)) % 0.39/0.65 (define @t147 () (=> tptp.emptysetimpfalse @t146)) % 0.39/0.65 (define @t148 () (=> tptp.emptysetE @t147)) % 0.39/0.65 (define @t149 () (=> tptp.prop2setE @t148)) % 0.39/0.65 (define @t150 () (=> tptp.exuE1 @t149)) % 0.39/0.65 (define @t151 () (=> tptp.dsetconstrER @t150)) % 0.39/0.65 (define @t152 () (=> tptp.dsetconstrEL @t151)) % 0.39/0.65 (define @t153 () (=> tptp.dsetconstrI @t152)) % 0.39/0.65 (define @t154 () (=> tptp.descrp @t153)) % 0.39/0.65 (define @t155 () (=> tptp.wellorderingAx @t154)) % 0.39/0.65 (define @t156 () (=> tptp.foundationAx @t155)) % 0.39/0.65 (define @t157 () (=> tptp.replAx @t156)) % 0.39/0.65 (define @t158 () (=> tptp.omegaIndAx @t157)) % 0.39/0.65 (define @t159 () (=> tptp.omegaSAx @t158)) % 0.39/0.65 (define @t160 () (=> tptp.omega0Ax @t159)) % 0.39/0.65 (define @t161 () (=> tptp.setunionAx @t160)) % 0.39/0.65 (define @t162 () (=> tptp.powersetAx @t161)) % 0.39/0.65 (define @t163 () (=> tptp.setadjoinAx @t162)) % 0.39/0.65 (define @t164 () (=> tptp.emptysetAx @t163)) % 0.39/0.65 (define @t165 () (=> tptp.setextAx @t164)) % 0.39/0.65 (define @t166 () (not @t165)) % 0.39/0.65 (define @t167 () (lambda @t54 @t63)) % 0.39/0.65 (define @t168 () (lambda @t8 (not (= @t4 tptp.emptyset)))) % 0.39/0.65 (define @t169 () (@var "BOUND_VARIABLE_9195" $$unsorted)) % 0.39/0.65 (define @t170 () (@var "BOUND_VARIABLE_9193" $$unsorted)) % 0.39/0.65 (define @t171 () (= @t170 @t169)) % 0.39/0.65 (define @t172 () (not (_ @t50 @t169))) % 0.39/0.65 (define @t173 () (not (_ @t50 @t170))) % 0.39/0.65 (define @t174 () (@var "BOUND_VARIABLE_9184" $$unsorted)) % 0.39/0.65 (define @t175 () (_ @t50 @t12)) % 0.39/0.65 (define @t176 () (not @t175)) % 0.39/0.65 (define @t177 () (or @t176 (= @t174 @t12))) % 0.39/0.65 (define @t178 () (forall @t35 @t177)) % 0.39/0.65 (define @t179 () (not @t178)) % 0.39/0.65 (define @t180 () (not (_ @t50 @t174))) % 0.39/0.65 (define @t181 () (or @t180 @t179 @t173 @t172 @t171)) % 0.39/0.65 (define @t182 () (or @t173 @t172 @t171)) % 0.39/0.65 (define @t183 () (or @t180 @t179)) % 0.39/0.65 (define @t184 () (or @t183 @t182)) % 0.39/0.65 (define @t185 () (@list @t50 @t174 @t170 @t169)) % 0.39/0.65 (define @t186 () (forall @t185 @t184)) % 0.39/0.65 (define @t187 () (forall (@list @t174 @t170 @t169) @t184)) % 0.39/0.65 (define @t188 () (forall (@list @t170 @t169) @t182)) % 0.39/0.65 (define @t189 () (forall (@list @t174) @t183)) % 0.39/0.65 (define @t190 () (or @t189 @t188)) % 0.39/0.65 (define @t191 () (_ @t50 @t4)) % 0.39/0.65 (define @t192 () (not @t191)) % 0.39/0.65 (define @t193 () (forall @t49 (or @t192 @t176 @t48))) % 0.39/0.65 (define @t194 () (forall @t35 (or @t176 @t48))) % 0.39/0.65 (define @t195 () (not @t194)) % 0.39/0.65 (define @t196 () (forall @t8 (or @t192 @t195))) % 0.39/0.65 (define @t197 () (not @t196)) % 0.39/0.65 (define @t198 () (not @t55)) % 0.39/0.65 (define @t199 () (or @t80 @t198 @t48)) % 0.39/0.65 (define @t200 () (or @t198 @t48)) % 0.39/0.65 (define @t201 () (or @t80 @t195)) % 0.39/0.65 (define @t202 () (_ @t52 @t12)) % 0.39/0.65 (define @t203 () (not @t202)) % 0.39/0.65 (define @t204 () (or @t203 @t48)) % 0.39/0.65 (define @t205 () (forall @t35 @t204)) % 0.39/0.65 (define @t206 () (not @t205)) % 0.39/0.65 (define @t207 () (_ @t52 @t4)) % 0.39/0.65 (define @t208 () (not @t207)) % 0.39/0.65 (define @t209 () (or @t208 @t206)) % 0.39/0.65 (define @t210 () (forall @t8 @t209)) % 0.39/0.65 (define @t211 () (not @t210)) % 0.39/0.65 (define @t212 () (_ (lambda @t54 @t197) @t52)) % 0.39/0.65 (define @t213 () (=> @t212 @t87)) % 0.39/0.65 (define @t214 () (forall @t54 @t213)) % 0.39/0.65 (define @t215 () (=> tptp.omega__Cong @t214)) % 0.39/0.65 (define @t216 () (=> tptp.setunion__Cong @t215)) % 0.39/0.65 (define @t217 () (=> tptp.powerset__Cong @t216)) % 0.39/0.65 (define @t218 () (=> tptp.setadjoin__Cong @t217)) % 0.39/0.65 (define @t219 () (=> tptp.emptyset__Cong @t218)) % 0.39/0.65 (define @t220 () (=> tptp.exu__Cong @t219)) % 0.39/0.65 (define @t221 () (=> tptp.exuE3u @t220)) % 0.39/0.65 (define @t222 () (=> tptp.in__Cong @t221)) % 0.39/0.65 (define @t223 () (=> tptp.inCongP @t222)) % 0.39/0.65 (define @t224 () (=> tptp.exuI2 @t223)) % 0.39/0.65 (define @t225 () (=> tptp.exuI3 @t224)) % 0.39/0.65 (define @t226 () (=> tptp.exuI1 @t225)) % 0.39/0.65 (define @t227 () (=> tptp.notdallE @t226)) % 0.39/0.65 (define @t228 () (=> tptp.notdexE @t227)) % 0.39/0.65 (define @t229 () (=> tptp.prop2set2propI @t228)) % 0.39/0.65 (define @t230 () (=> tptp.prop2setI @t229)) % 0.39/0.65 (define @t231 () (=> tptp.quantDeMorgan4 @t230)) % 0.39/0.65 (define @t232 () (=> tptp.quantDeMorgan3 @t231)) % 0.39/0.65 (define @t233 () (=> tptp.quantDeMorgan2 @t232)) % 0.39/0.65 (define @t234 () (=> tptp.quantDeMorgan1 @t233)) % 0.39/0.65 (define @t235 () (=> tptp.vacuousDall @t234)) % 0.39/0.65 (define @t236 () (=> tptp.emptyE1 @t235)) % 0.39/0.65 (define @t237 () (=> tptp.upairsetIR @t236)) % 0.39/0.65 (define @t238 () (=> tptp.upairsetIL @t237)) % 0.39/0.65 (define @t239 () (=> tptp.upairsetE @t238)) % 0.39/0.65 (define @t240 () (=> tptp.singletonsswitch @t239)) % 0.39/0.65 (define @t241 () (=> tptp.eqinunit @t240)) % 0.39/0.65 (define @t242 () (=> tptp.notinsingleton @t241)) % 0.39/0.65 (define @t243 () (=> tptp.uniqinunit @t242)) % 0.39/0.65 (define @t244 () (=> tptp.nonemptyImpWitness @t243)) % 0.39/0.65 (define @t245 () (=> tptp.exuE2 @t244)) % 0.39/0.65 (define @t246 () (=> tptp.subPowSU @t245)) % 0.39/0.65 (define @t247 () (=> tptp.setunionE @t246)) % 0.39/0.65 (define @t248 () (=> tptp.setunionI @t247)) % 0.39/0.65 (define @t249 () (=> tptp.powersetE @t248)) % 0.39/0.65 (define @t250 () (=> tptp.emptyInPowerset @t249)) % 0.39/0.65 (define @t251 () (=> tptp.emptyinPowerset @t250)) % 0.39/0.65 (define @t252 () (=> tptp.powersetI @t251)) % 0.39/0.65 (define @t253 () (=> tptp.setoftrueEq @t252)) % 0.39/0.65 (define @t254 () (=> tptp.setadjoinOr @t253)) % 0.39/0.65 (define @t255 () (=> tptp.setadjoinE @t254)) % 0.39/0.65 (define @t256 () (=> tptp.setadjoinIR @t255)) % 0.39/0.65 (define @t257 () (=> tptp.emptyinunitempty @t256)) % 0.39/0.65 (define @t258 () (=> tptp.setadjoinIL @t257)) % 0.39/0.65 (define @t259 () (=> tptp.nonemptyI1 @t258)) % 0.39/0.65 (define @t260 () (=> tptp.nonemptyI @t259)) % 0.39/0.65 (define @t261 () (=> tptp.nonemptyE1 @t260)) % 0.39/0.65 (define @t262 () (=> tptp.setbeta @t261)) % 0.39/0.65 (define @t263 () (=> tptp.noeltsimpempty @t262)) % 0.39/0.65 (define @t264 () (=> tptp.emptyI @t263)) % 0.39/0.65 (define @t265 () (=> tptp.setext @t264)) % 0.39/0.65 (define @t266 () (=> tptp.exuE3e @t265)) % 0.39/0.65 (define @t267 () (=> tptp.notinemptyset @t266)) % 0.39/0.65 (define @t268 () (=> tptp.emptysetimpfalse @t267)) % 0.39/0.65 (define @t269 () (=> tptp.emptysetE @t268)) % 0.39/0.65 (define @t270 () (=> tptp.prop2setE @t269)) % 0.39/0.65 (define @t271 () (=> tptp.exuE1 @t270)) % 0.39/0.65 (define @t272 () (=> tptp.dsetconstrER @t271)) % 0.39/0.65 (define @t273 () (=> tptp.dsetconstrEL @t272)) % 0.39/0.65 (define @t274 () (=> tptp.dsetconstrI @t273)) % 0.39/0.65 (define @t275 () (=> tptp.descrp @t274)) % 0.39/0.65 (define @t276 () (=> tptp.wellorderingAx @t275)) % 0.39/0.65 (define @t277 () (=> tptp.foundationAx @t276)) % 0.39/0.65 (define @t278 () (=> tptp.replAx @t277)) % 0.39/0.65 (define @t279 () (=> tptp.omegaIndAx @t278)) % 0.39/0.65 (define @t280 () (=> tptp.omegaSAx @t279)) % 0.39/0.65 (define @t281 () (=> tptp.omega0Ax @t280)) % 0.39/0.65 (define @t282 () (=> tptp.setunionAx @t281)) % 0.39/0.65 (define @t283 () (=> tptp.powersetAx @t282)) % 0.39/0.65 (define @t284 () (=> tptp.setadjoinAx @t283)) % 0.39/0.65 (define @t285 () (=> tptp.emptysetAx @t284)) % 0.39/0.65 (define @t286 () (=> tptp.setextAx @t285)) % 0.39/0.65 (define @t287 () (and @t51 @t194)) % 0.39/0.65 (define @t288 () (forall @t8 (not @t287))) % 0.39/0.65 (define @t289 () (not @t288)) % 0.39/0.65 (define @t290 () (forall @t185 (or @t180 (not (forall @t35 (or @t176 (= @t12 @t174)))) @t173 @t172 @t171))) % 0.39/0.65 (define @t291 () (=> tptp.omega__Cong @t290)) % 0.39/0.65 (define @t292 () (=> tptp.setunion__Cong @t291)) % 0.39/0.65 (assume @p1 (= tptp.setextAx (forall @t9 (=> (forall @t8 (= @t7 @t6)) @t3)))) % 0.39/0.65 (assume @p2 (= tptp.emptysetAx @t11)) % 0.39/0.65 (assume @p3 (= tptp.setadjoinAx (forall @t19 (= @t18 @t16)))) % 0.39/0.65 (assume @p4 (= tptp.powersetAx (forall @t9 (= @t24 @t21)))) % 0.39/0.65 (assume @p5 (= tptp.setunionAx (forall @t29 (= @t28 (exists @t26 (and @t6 @t25)))))) % 0.39/0.65 (assume @p6 (= tptp.omega0Ax (_ @t30 tptp.omega))) % 0.39/0.65 (assume @p7 (= tptp.omegaSAx (forall @t8 (=> @t32 (_ @t31 tptp.omega))))) % 0.39/0.65 (assume @p8 (= tptp.omegaIndAx (forall @t33 (=> (and (_ @t30 @t2) (forall @t8 (=> (and @t32 @t7) (_ @t31 @t2)))) (forall @t8 (=> @t32 @t7)))))) % 0.39/0.65 (assume @p9 (= tptp.replAx (forall (@list @t34 @t2) (=> (forall @t8 (=> @t7 (_ tptp.exu (lambda @t35 (_ (_ @t34 @t4) @t12))))) (exists @t26 (forall @t8 (= @t6 (exists @t35 (and @t14 (_ (_ @t34 @t12) @t4)))))))))) % 0.39/0.65 (assume @p10 (= tptp.foundationAx (forall @t33 (=> @t36 (exists @t26 (and @t25 (not (exists @t8 (and @t6 @t7))))))))) % 0.39/0.65 (assume @p11 (= tptp.wellorderingAx (forall @t33 (exists @t26 (and (forall @t45 (=> @t47 @t44)) (forall @t49 (=> (and @t7 @t14) (=> (forall @t45 (=> @t47 (= @t42 @t41))) @t48))) (forall (@list @t40 @t38) (=> (and @t47 @t43) (or (forall @t8 (=> @t42 @t46)) (forall @t8 (=> @t46 @t42))))) (forall @t45 (=> (and @t44 (exists @t8 @t42)) (exists (@list @t38 @t4) (and @t43 @t42 (not (exists @t35 (and @t39 @t41))) (forall (@list @t37) (=> (_ (_ tptp.in @t37) @t1) (or (forall @t35 (=> (_ @t13 @t37) @t39)) (_ @t5 @t37))))))))))))) % 0.39/0.65 (assume @p12 (= tptp.descrp (forall @t54 (=> @t53 (_ @t50 (_ tptp.descr @t52)))))) % 0.39/0.65 (assume @p13 (= tptp.dsetconstrI (forall @t59 (=> @t7 (=> @t51 @t58))))) % 0.39/0.65 (assume @p14 (= tptp.dsetconstrEL (forall @t59 (=> @t58 @t7)))) % 0.39/0.65 (assume @p15 (= tptp.dsetconstrER (forall @t59 (=> @t58 @t51)))) % 0.39/0.65 (assume @p16 (= tptp.exuE1 (forall @t54 (=> @t53 @t63)))) % 0.39/0.65 (assume @p17 (= tptp.prop2setE (forall (@list @t64 @t4) (=> (_ @t5 @t65) @t64)))) % 0.39/0.65 (assume @p18 (= tptp.emptysetE (forall @t8 (=> @t10 (forall @t66 @t64))))) % 0.39/0.65 (assume @p19 (= tptp.emptysetimpfalse (forall @t8 (=> @t10 false)))) % 0.39/0.65 (assume @p20 (= tptp.notinemptyset @t11)) % 0.39/0.65 (assume @p21 (= tptp.exuE3e (forall @t54 (=> @t53 @t67)))) % 0.39/0.65 (assume @p22 (= tptp.setext (forall @t9 (=> (forall @t8 (=> @t7 @t6)) (=> @t21 @t3))))) % 0.39/0.65 (assume @p23 (= tptp.emptyI @t68)) % 0.39/0.65 (assume @p24 (= tptp.noeltsimpempty @t68)) % 0.39/0.65 (assume @p25 (= tptp.setbeta (forall @t59 (=> @t7 (= @t58 @t51))))) % 0.39/0.65 (assume @p26 (= tptp.nonemptyE1 (forall @t33 (=> @t69 @t36)))) % 0.39/0.65 (assume @p27 (= tptp.nonemptyI (forall @t59 (=> @t7 (=> @t51 (_ tptp.nonempty @t57)))))) % 0.39/0.65 (assume @p28 (= tptp.nonemptyI1 (forall @t33 (=> @t36 @t69)))) % 0.39/0.65 (assume @p29 (= tptp.setadjoinIL (forall @t49 (_ @t5 (_ @t17 @t12))))) % 0.39/0.65 (assume @p30 (= tptp.emptyinunitempty (_ @t30 (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)))) % 0.39/0.65 (assume @p31 (= tptp.setadjoinIR (forall @t19 (=> @t14 @t18)))) % 0.39/0.65 (assume @p32 (= tptp.setadjoinE (forall @t19 (=> @t18 (forall @t66 (=> (=> @t15 @t64) (=> (=> @t14 @t64) @t64))))))) % 0.39/0.65 (assume @p33 (= tptp.setadjoinOr (forall @t19 (=> @t18 @t16)))) % 0.39/0.65 (assume @p34 (= tptp.setoftrueEq (forall @t33 (= (_ @t56 (lambda @t8 true)) @t2)))) % 0.39/0.65 (assume @p35 (= tptp.powersetI (forall @t9 (=> @t21 @t24)))) % 0.39/0.65 (assume @p36 (= tptp.emptyinPowerset @t70)) % 0.39/0.65 (assume @p37 (= tptp.emptyInPowerset @t70)) % 0.39/0.65 (assume @p38 (= tptp.powersetE (forall (@list @t2 @t1 @t4) (=> @t24 @t20)))) % 0.39/0.65 (assume @p39 (= tptp.setunionI (forall (@list @t2 @t4 @t1) (=> @t6 (=> @t25 @t28))))) % 0.39/0.65 (assume @p40 (= tptp.setunionE (forall @t29 (=> @t28 (forall @t66 (=> (forall @t26 (=> @t6 (=> @t25 @t64))) @t64)))))) % 0.39/0.65 (assume @p41 (= tptp.subPowSU (forall @t29 (=> @t7 (_ @t5 (_ tptp.powerset @t27)))))) % 0.39/0.65 (assume @p42 (= tptp.exuE2 (forall @t54 (=> @t53 @t71)))) % 0.39/0.65 (assume @p43 (= tptp.nonemptyImpWitness (forall @t33 (=> @t69 (exists @t8 (and @t7 true)))))) % 0.39/0.65 (assume @p44 (= tptp.uniqinunit (forall @t49 (=> @t74 @t48)))) % 0.39/0.65 (assume @p45 (= tptp.notinsingleton (forall @t49 (=> (not @t48) (not @t75))))) % 0.39/0.65 (assume @p46 (= tptp.eqinunit (forall @t49 (=> @t48 @t74)))) % 0.39/0.65 (assume @p47 (= tptp.singletonsswitch (forall @t49 (=> @t74 @t75)))) % 0.39/0.65 (assume @p48 (= tptp.upairsetE (forall (@list @t4 @t12 @t76) (=> (_ (_ tptp.in @t76) @t77) (or (= @t76 @t4) (= @t76 @t12)))))) % 0.39/0.65 (assume @p49 (= tptp.upairsetIL (forall @t49 (_ @t5 @t77)))) % 0.39/0.65 (assume @p50 (= tptp.upairsetIR (forall @t49 (_ @t13 @t77)))) % 0.39/0.65 (assume @p51 (= tptp.emptyE1 (forall @t79 (=> @t78 (=> (= (_ @t56 @t52) tptp.emptyset) false))))) % 0.39/0.65 (assume @p52 (= tptp.vacuousDall (forall (@list @t50 @t4) (=> @t10 @t51)))) % 0.39/0.65 (assume @p53 (= tptp.quantDeMorgan1 @t83)) % 0.39/0.65 (assume @p54 (= tptp.quantDeMorgan2 (forall @t79 (=> @t85 @t84)))) % 0.39/0.65 (assume @p55 (= tptp.quantDeMorgan3 @t86)) % 0.39/0.65 (assume @p56 (= tptp.quantDeMorgan4 (forall @t79 (=> @t81 @t82)))) % 0.39/0.65 (assume @p57 (= tptp.prop2setI (forall @t66 (=> @t64 (_ @t30 @t65))))) % 0.39/0.65 (assume @p58 (= tptp.prop2set2propI (forall @t66 (=> @t64 (_ tptp.set2prop @t65))))) % 0.39/0.65 (assume @p59 (= tptp.notdexE @t86)) % 0.39/0.65 (assume @p60 (= tptp.notdallE @t83)) % 0.39/0.65 (assume @p61 (= tptp.exuI1 (forall @t54 (=> @t63 @t53)))) % 0.39/0.65 (assume @p62 (= tptp.exuI3 (forall @t54 (=> @t67 (=> @t87 @t53))))) % 0.39/0.65 (assume @p63 (= tptp.exuI2 (forall @t54 (=> @t71 @t53)))) % 0.39/0.65 (assume @p64 (= tptp.inCongP (forall @t9 (=> @t3 (forall @t49 (=> @t48 (=> @t7 @t88))))))) % 0.39/0.65 (assume @p65 (= tptp.in__Cong (forall @t9 (=> @t3 (forall @t49 (=> @t48 (= @t7 @t88))))))) % 0.39/0.65 (assume @p66 @t91) % 0.39/0.65 (assume @p67 (= tptp.exu__Cong (forall (@list @t50 @t92) (=> (forall @t49 (=> @t48 (= @t51 (_ @t92 @t12)))) (= @t53 (_ tptp.exu (lambda @t8 (_ @t92 @t4)))))))) % 0.39/0.65 (assume @p68 (= tptp.emptyset__Cong (= tptp.emptyset tptp.emptyset))) % 0.39/0.65 (assume @p69 (= tptp.setadjoin__Cong (forall @t49 (=> @t48 (forall (@list @t76 @t93) (=> (= @t76 @t93) (= (_ @t17 @t76) (_ @t72 @t93)))))))) % 0.39/0.65 (assume @p70 (= tptp.powerset__Cong (forall @t9 (=> @t3 (= @t22 (_ tptp.powerset @t1)))))) % 0.39/0.65 (assume @p71 (= tptp.setunion__Cong (forall @t9 (=> @t3 (= @t27 (_ tptp.setunion @t1)))))) % 0.39/0.65 (assume @p72 (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.39/0.65 (assume @p73 @t166) % 0.39/0.65 (assume @p74 true) % 0.39/0.65 (step @p75 (= tptp.exu @t167) :rule refl :args (@t167)) % 0.39/0.65 (step @p76 (= tptp.nonempty @t168) :rule refl :args (@t168)) % 0.39/0.65 (step @p77 :rule refl :args (@t171)) % 0.39/0.65 (step @p78 :rule refl :args (@t172)) % 0.39/0.65 (step @p79 :rule refl :args (@t173)) % 0.39/0.65 (step @p80 :rule eq-symm :args (@t174 @t12)) % 0.39/0.65 (step @p81 :rule refl :args (@t176)) % 0.39/0.65 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t177)) % 0.39/0.65 (step @p83 :rule cong :premises (@p82) :args (@t178)) % 0.39/0.65 (step @p84 :rule cong :premises (@p83) :args (@t179)) % 0.39/0.65 (step @p85 :rule refl :args (@t180)) % 0.39/0.65 (step @p86 :rule nary_cong :premises (@p85 @p84 @p79 @p78 @p77) :args (@t181)) % 0.39/0.65 (step @p87 :rule aci_norm :args ((= @t184 @t181))) % 0.39/0.65 (step @p88 :rule trans :premises (@p87 @p86)) % 0.39/0.65 (step @p89 :rule cong :premises (@p88) :args (@t186)) % 0.39/0.65 (step @p90 :rule quant-merge-prenex :args ((= (forall @t54 @t187) @t186))) % 0.39/0.65 (step @p91 :rule alpha_equiv :args (@t188 (@list @t170 @t169) (@list @t4 @t12))) % 0.39/0.65 (step @p92 :rule alpha_equiv :args (@t189 (@list @t174) (@list @t4))) % 0.39/0.65 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t190)) % 0.39/0.65 (step @p94 :rule quant-miniscope-or :args ((= @t187 @t190))) % 0.39/0.65 (step @p95 :rule trans :premises (@p94 @p93)) % 0.39/0.65 (step @p96 :rule symm :premises (@p95)) % 0.39/0.65 (step @p97 :rule cong :premises (@p96) :args ((forall @t54 (or @t196 @t193)))) % 0.39/0.65 (step @p98 :rule trans :premises (@p97 @p90)) % 0.39/0.65 (step @p99 :rule trans :premises (@p98 @p89)) % 0.39/0.65 (step @p100 :rule refl :args (@t193)) % 0.39/0.65 (step @p101 :rule bool-double-not-elim :args (@t196)) % 0.39/0.65 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or (not @t197) @t193))) % 0.39/0.65 (step @p103 :rule bool-impl-elim :args (@t197 @t193)) % 0.39/0.65 (step @p104 :rule trans :premises (@p103 @p102)) % 0.39/0.65 (step @p105 :rule cong :premises (@p104) :args ((forall @t54 (=> @t197 @t193)))) % 0.39/0.65 (step @p106 :rule trans :premises (@p105 @p99)) % 0.39/0.65 (step @p107 :rule refl :args (@t48)) % 0.39/0.65 (step @p108 :rule refl :args (@t175)) % 0.39/0.65 (step @p109 :rule refl :args (@t55)) % 0.39/0.65 (step @p110 :rule cong :premises (@p109 @p108) :args ((= @t55 @t175))) % 0.39/0.65 (step @p111 :rule symm :premises (@p110)) % 0.39/0.65 (step @p112 :rule eq_resolve :premises (@p109 @p111)) % 0.39/0.65 (step @p113 :rule cong :premises (@p112) :args (@t198)) % 0.39/0.65 (step @p114 :rule refl :args (@t191)) % 0.39/0.65 (step @p115 :rule refl :args (@t51)) % 0.39/0.65 (step @p116 :rule cong :premises (@p115 @p114) :args ((= @t51 @t191))) % 0.39/0.65 (step @p117 :rule symm :premises (@p116)) % 0.39/0.65 (step @p118 :rule eq_resolve :premises (@p115 @p117)) % 0.39/0.65 (step @p119 :rule cong :premises 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% 0.39/0.65 (step @p354 :rule cong :premises (@p226 @p353) :args (@t130)) % 0.39/0.65 (step @p355 :rule cong :premises (@p228 @p354) :args (@t131)) % 0.39/0.65 (step @p356 :rule cong :premises (@p230 @p355) :args (@t132)) % 0.39/0.65 (step @p357 :rule cong :premises (@p232 @p356) :args (@t133)) % 0.39/0.65 (step @p358 :rule cong :premises (@p234 @p357) :args (@t134)) % 0.39/0.65 (step @p359 :rule cong :premises (@p236 @p358) :args (@t135)) % 0.39/0.65 (step @p360 :rule cong :premises (@p238 @p359) :args (@t136)) % 0.39/0.65 (step @p361 :rule cong :premises (@p240 @p360) :args (@t137)) % 0.39/0.65 (step @p362 :rule cong :premises (@p242 @p361) :args (@t138)) % 0.39/0.65 (step @p363 :rule cong :premises (@p244 @p362) :args (@t139)) % 0.39/0.65 (step @p364 :rule cong :premises (@p246 @p363) :args (@t140)) % 0.39/0.65 (step @p365 :rule cong :premises (@p248 @p364) :args (@t141)) % 0.39/0.65 (step @p366 :rule cong :premises (@p250 @p365) :args (@t142)) % 0.39/0.65 (step @p367 :rule cong :premises (@p252 @p366) :args (@t143)) % 0.39/0.65 (step @p368 :rule cong :premises (@p254 @p367) :args (@t144)) % 0.39/0.65 (step @p369 :rule cong :premises (@p256 @p368) :args (@t145)) % 0.39/0.65 (step @p370 :rule cong :premises (@p258 @p369) :args (@t146)) % 0.39/0.65 (step @p371 :rule cong :premises (@p260 @p370) :args (@t147)) % 0.39/0.65 (step @p372 :rule cong :premises (@p262 @p371) :args (@t148)) % 0.39/0.65 (step @p373 :rule cong :premises (@p264 @p372) :args (@t149)) % 0.39/0.65 (step @p374 :rule cong :premises (@p266 @p373) :args (@t150)) % 0.39/0.65 (step @p375 :rule cong :premises (@p268 @p374) :args (@t151)) % 0.39/0.65 (step @p376 :rule cong :premises (@p270 @p375) :args (@t152)) % 0.39/0.65 (step @p377 :rule cong :premises (@p272 @p376) :args (@t153)) % 0.39/0.65 (step @p378 :rule cong :premises (@p274 @p377) :args (@t154)) % 0.39/0.65 (step @p379 :rule cong :premises (@p276 @p378) :args (@t155)) % 0.39/0.65 (step @p380 :rule cong :premises (@p278 @p379) :args (@t156)) % 0.39/0.65 (step @p381 :rule cong :premises (@p280 @p380) :args (@t157)) % 0.39/0.65 (step @p382 :rule cong :premises (@p282 @p381) :args (@t158)) % 0.39/0.65 (step @p383 :rule cong :premises (@p284 @p382) :args (@t159)) % 0.39/0.65 (step @p384 :rule cong :premises (@p286 @p383) :args (@t160)) % 0.39/0.65 (step @p385 :rule cong :premises (@p288 @p384) :args (@t161)) % 0.39/0.65 (step @p386 :rule cong :premises (@p290 @p385) :args (@t162)) % 0.39/0.65 (step @p387 :rule cong :premises (@p292 @p386) :args (@t163)) % 0.39/0.65 (step @p388 :rule cong :premises (@p294 @p387) :args (@t164)) % 0.39/0.65 (step @p389 :rule cong :premises (@p296 @p388) :args (@t165)) % 0.39/0.65 (step @p390 :rule cong :premises (@p389) :args (@t166)) % 0.39/0.65 (step @p391 :rule trans :premises (@p390 @p298)) % 0.39/0.65 (step @p392 :rule eq_resolve :premises (@p73 @p391)) % 0.39/0.65 (step @p393 :rule not_implies_elim2 :premises (@p392)) % 0.39/0.65 (step @p394 :rule not_implies_elim2 :premises (@p393)) % 0.39/0.65 (step @p395 :rule not_implies_elim2 :premises (@p394)) % 0.39/0.65 (step @p396 :rule not_implies_elim2 :premises (@p395)) % 0.39/0.65 (step @p397 :rule not_implies_elim2 :premises (@p396)) % 0.39/0.65 (step @p398 :rule not_implies_elim2 :premises (@p397)) % 0.39/0.65 (step @p399 :rule not_implies_elim2 :premises (@p398)) % 0.39/0.65 (step @p400 :rule not_implies_elim2 :premises (@p399)) % 0.39/0.65 (step @p401 :rule not_implies_elim2 :premises (@p400)) % 0.39/0.65 (step @p402 :rule not_implies_elim2 :premises (@p401)) % 0.39/0.65 (step @p403 :rule not_implies_elim2 :premises (@p402)) % 0.39/0.65 (step @p404 :rule not_implies_elim2 :premises (@p403)) % 0.39/0.65 (step @p405 :rule not_implies_elim2 :premises (@p404)) % 0.39/0.65 (step @p406 :rule not_implies_elim2 :premises (@p405)) % 0.39/0.65 (step @p407 :rule not_implies_elim2 :premises (@p406)) % 0.39/0.65 (step @p408 :rule not_implies_elim2 :premises (@p407)) % 0.39/0.65 (step @p409 :rule not_implies_elim2 :premises (@p408)) % 0.39/0.65 (step @p410 :rule not_implies_elim2 :premises (@p409)) % 0.39/0.65 (step @p411 :rule not_implies_elim2 :premises (@p410)) % 0.39/0.65 (step @p412 :rule not_implies_elim2 :premises (@p411)) % 0.39/0.65 (step @p413 :rule not_implies_elim2 :premises (@p412)) % 0.39/0.65 (step @p414 :rule not_implies_elim2 :premises (@p413)) % 0.39/0.65 (step @p415 :rule not_implies_elim2 :premises (@p414)) % 0.39/0.65 (step @p416 :rule not_implies_elim2 :premises (@p415)) % 0.39/0.65 (step @p417 :rule not_implies_elim2 :premises (@p416)) % 0.39/0.65 (step @p418 :rule not_implies_elim2 :premises (@p417)) % 0.39/0.65 (step @p419 :rule not_implies_elim2 :premises (@p418)) % 0.39/0.65 (step @p420 :rule not_implies_elim2 :premises (@p419)) % 0.39/0.65 (step @p421 :rule not_implies_elim2 :premises (@p420)) % 0.39/0.65 (step @p422 :rule not_implies_elim2 :premises (@p421)) % 0.39/0.65 (step @p423 :rule not_implies_elim2 :premises (@p422)) % 0.39/0.65 (step @p424 :rule not_implies_elim2 :premises (@p423)) % 0.39/0.65 (step @p425 :rule not_implies_elim2 :premises (@p424)) % 0.39/0.65 (step @p426 :rule not_implies_elim2 :premises (@p425)) % 0.39/0.65 (step @p427 :rule not_implies_elim2 :premises (@p426)) % 0.39/0.65 (step @p428 :rule not_implies_elim2 :premises (@p427)) % 0.39/0.65 (step @p429 :rule not_implies_elim2 :premises (@p428)) % 0.39/0.65 (step @p430 :rule not_implies_elim2 :premises (@p429)) % 0.39/0.65 (step @p431 :rule not_implies_elim2 :premises (@p430)) % 0.39/0.65 (step @p432 :rule not_implies_elim2 :premises (@p431)) % 0.39/0.65 (step @p433 :rule not_implies_elim2 :premises (@p432)) % 0.39/0.65 (step @p434 :rule not_implies_elim2 :premises (@p433)) % 0.39/0.65 (step @p435 :rule not_implies_elim2 :premises (@p434)) % 0.39/0.65 (step @p436 :rule not_implies_elim2 :premises (@p435)) % 0.39/0.65 (step @p437 :rule not_implies_elim2 :premises (@p436)) % 0.39/0.65 (step @p438 :rule not_implies_elim2 :premises (@p437)) % 0.39/0.65 (step @p439 :rule not_implies_elim2 :premises (@p438)) % 0.39/0.65 (step @p440 :rule not_implies_elim2 :premises (@p439)) % 0.39/0.65 (step @p441 :rule not_implies_elim2 :premises (@p440)) % 0.39/0.65 (step @p442 :rule not_implies_elim2 :premises (@p441)) % 0.39/0.65 (step @p443 :rule not_implies_elim2 :premises (@p442)) % 0.39/0.65 (step @p444 :rule not_implies_elim2 :premises (@p443)) % 0.39/0.65 (step @p445 :rule not_implies_elim2 :premises (@p444)) % 0.39/0.65 (step @p446 :rule not_implies_elim2 :premises (@p445)) % 0.39/0.65 (step @p447 :rule not_implies_elim2 :premises (@p446)) % 0.39/0.65 (step @p448 :rule not_implies_elim2 :premises (@p447)) % 0.39/0.65 (step @p449 :rule not_implies_elim2 :premises (@p448)) % 0.39/0.65 (step @p450 :rule not_implies_elim2 :premises (@p449)) % 0.39/0.65 (step @p451 :rule not_implies_elim2 :premises (@p450)) % 0.39/0.65 (step @p452 :rule not_implies_elim2 :premises (@p451)) % 0.39/0.65 (step @p453 :rule not_implies_elim2 :premises (@p452)) % 0.39/0.65 (step @p454 :rule not_implies_elim2 :premises (@p453)) % 0.39/0.65 (step @p455 :rule not_implies_elim2 :premises (@p454)) % 0.39/0.65 (step @p456 :rule not_implies_elim2 :premises (@p455)) % 0.39/0.65 (step @p457 :rule not_implies_elim2 :premises (@p456)) % 0.39/0.65 (step @p458 :rule not_implies_elim2 :premises (@p457)) % 0.39/0.65 (step @p459 :rule not_implies_elim2 :premises (@p458)) % 0.39/0.65 (step @p460 :rule not_implies_elim2 :premises (@p459)) % 0.39/0.65 (step @p461 :rule not_implies_elim2 :premises (@p460)) % 0.39/0.65 (step @p462 :rule cong :premises (@p166 @p153) :args ((= tptp.exuE3u @t214))) % 0.39/0.65 (step @p463 :rule cong :premises (@p166 @p317) :args (@t91)) % 0.39/0.65 (step @p464 :rule trans :premises (@p463 @p462)) % 0.39/0.65 (step @p465 :rule eq_resolve :premises (@p66 @p464)) % 0.39/0.65 (step @p466 :rule not_implies_elim1 :premises (@p457)) % 0.39/0.65 (step @p467 :rule eq_resolve :premises (@p466 @p465)) % 0.39/0.65 (step @p468 :rule cnf_implies_neg2 :args (@t291)) % 0.39/0.65 (step @p469 :rule resolution :premises (@p468 @p467) :args (false @t290)) % 0.39/0.65 (step @p470 :rule cnf_implies_neg2 :args (@t292)) % 0.39/0.65 (step @p471 :rule resolution :premises (@p470 @p469) :args (false @t291)) % 0.39/0.65 (step @p472 :rule cnf_implies_neg2 :args ((=> tptp.powerset__Cong @t292))) % 0.39/0.65 (step @p473 :rule resolution :premises (@p472 @p471) :args (false @t292)) % 0.39/0.65 (step @p474 false :rule contra :premises (@p473 @p461)) % 0.39/0.65 ) % 0.39/0.65 % SZS output end Proof % 0.39/0.65 % cvc5 exiting %------------------------------------------------------------------------------