%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU590^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:52:19 AM UTC 2026 % Result : Theorem 0.47s 0.68s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU590^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n002.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:42:48 EDT 2026 % 0.18/0.35 % CPUTime : % 0.34/0.49 %----Proving TH0 % 0.47/0.68 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.47/0.68 % SZS status Theorem % 0.47/0.68 % SZS output start Proof % 0.47/0.68 ( % 0.47/0.68 (declare-sort $$unsorted 0) % 0.47/0.68 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.47/0.68 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.47/0.68 (declare-const tptp.binintersectI Bool) % 0.47/0.68 (declare-const tptp.subsetE Bool) % 0.47/0.68 (declare-const tptp.subsetI1 Bool) % 0.47/0.68 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.47/0.68 (define tptp.binintersect () (let ((_let_1 (@var "B" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_1) (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_2) (_ (_ tptp.in _let_2) _let_1)))))))) % 0.47/0.68 (define @t1 () (@var "B" $$unsorted)) % 0.47/0.68 (define @t2 () (@var "A" $$unsorted)) % 0.47/0.68 (define @t3 () (_ (_ tptp.subset @t2) @t1)) % 0.47/0.68 (define @t4 () (@var "Xx" $$unsorted)) % 0.47/0.68 (define @t5 () (_ tptp.in @t4)) % 0.47/0.68 (define @t6 () (_ @t5 @t1)) % 0.47/0.68 (define @t7 () (_ @t5 @t2)) % 0.47/0.68 (define @t8 () (=> @t7 @t6)) % 0.47/0.68 (define @t9 () (@list @t4)) % 0.47/0.68 (define @t10 () (forall @t9 @t8)) % 0.47/0.68 (define @t11 () (=> @t10 @t3)) % 0.47/0.68 (define @t12 () (@list @t2 @t1)) % 0.47/0.68 (define @t13 () (forall @t12 @t11)) % 0.47/0.68 (define @t14 () (= tptp.subsetI1 @t13)) % 0.47/0.68 (define @t15 () (@list @t2 @t1 @t4)) % 0.47/0.68 (define @t16 () (forall @t15 (=> @t3 @t8))) % 0.47/0.68 (define @t17 () (= tptp.subsetE @t16)) % 0.47/0.68 (define @t18 () (_ (_ tptp.binintersect @t2) @t1)) % 0.47/0.68 (define @t19 () (=> @t6 (_ @t5 @t18))) % 0.47/0.68 (define @t20 () (=> @t7 @t19)) % 0.47/0.68 (define @t21 () (forall @t15 @t20)) % 0.47/0.68 (define @t22 () (= tptp.binintersectI @t21)) % 0.47/0.68 (define @t23 () (@var "C" $$unsorted)) % 0.47/0.68 (define @t24 () (_ tptp.subset @t23)) % 0.47/0.68 (define @t25 () (_ @t24 @t1)) % 0.47/0.68 (define @t26 () (=> @t25 (_ @t24 @t18))) % 0.47/0.68 (define @t27 () (_ @t24 @t2)) % 0.47/0.68 (define @t28 () (=> @t27 @t26)) % 0.47/0.68 (define @t29 () (@list @t2 @t1 @t23)) % 0.47/0.68 (define @t30 () (forall @t29 @t28)) % 0.47/0.68 (define @t31 () (=> tptp.binintersectI @t30)) % 0.47/0.68 (define @t32 () (=> tptp.subsetE @t31)) % 0.47/0.68 (define @t33 () (=> tptp.subsetI1 @t32)) % 0.47/0.68 (define @t34 () (not @t33)) % 0.47/0.68 (define @t35 () (lambda @t9 @t6)) % 0.47/0.68 (define @t36 () (_ tptp.dsetconstr @t2)) % 0.47/0.68 (define @t37 () (_ @t36 @t35)) % 0.47/0.68 (define @t38 () (lambda @t12 @t37)) % 0.47/0.68 (define @t39 () (@var "BOUND_VARIABLE_7506" $$unsorted)) % 0.47/0.68 (define @t40 () (tptp.in @t4 @t1)) % 0.47/0.68 (define @t41 () (lambda @t9 @t40)) % 0.47/0.68 (define @t42 () (tptp.dsetconstr @t2 @t41)) % 0.47/0.68 (define @t43 () (tptp.subset @t23 @t42)) % 0.47/0.68 (define @t44 () (tptp.subset @t23 @t1)) % 0.47/0.68 (define @t45 () (tptp.subset @t23 @t2)) % 0.47/0.68 (define @t46 () (forall @t29 (or (not @t45) (not @t44) @t43))) % 0.47/0.68 (define @t47 () (@quantifiers_skolemize @t46 1)) % 0.47/0.68 (define @t48 () (tptp.in @t39 @t47)) % 0.47/0.68 (define @t49 () (@list @t39)) % 0.47/0.68 (define @t50 () (lambda @t49 @t48)) % 0.47/0.68 (define @t51 () (@purify @t50)) % 0.47/0.68 (define @t52 () (_ @t51 @t39)) % 0.47/0.68 (define @t53 () (_ @t50 @t39)) % 0.47/0.68 (define @t54 () (= @t52 @t53)) % 0.47/0.68 (define @t55 () (forall @t49 @t54)) % 0.47/0.68 (define @t56 () (@const 0 $$unsorted)) % 0.47/0.68 (define @t57 () (tptp.in @t56 @t47)) % 0.47/0.68 (define @t58 () (_ @t51 @t56)) % 0.47/0.68 (define @t59 () (forall @t49 (= @t48 @t52))) % 0.47/0.68 (define @t60 () (= @t57 @t58)) % 0.47/0.68 (define @t61 () (@list @t56)) % 0.47/0.68 (define @t62 () (= @t58 @t57)) % 0.47/0.68 (define @t63 () (@list false)) % 0.47/0.68 (define @t64 () (_ (_ tptp.in @t39) @t1)) % 0.47/0.68 (define @t65 () (lambda @t49 @t64)) % 0.47/0.68 (define @t66 () (_ @t36 @t65)) % 0.47/0.68 (define @t67 () (tptp.in @t39 @t1)) % 0.47/0.68 (define @t68 () (lambda @t49 @t67)) % 0.47/0.68 (define @t69 () (tptp.dsetconstr @t2 @t68)) % 0.47/0.68 (define @t70 () (tptp.in @t4 @t69)) % 0.47/0.68 (define @t71 () (_ @t5 @t66)) % 0.47/0.68 (define @t72 () (not @t6)) % 0.47/0.68 (define @t73 () (tptp.in @t4 @t2)) % 0.47/0.68 (define @t74 () (not @t7)) % 0.47/0.68 (define @t75 () (or @t74 @t72 @t71)) % 0.47/0.68 (define @t76 () (=> @t6 @t71)) % 0.47/0.68 (define @t77 () (=> @t6 (_ @t5 @t37))) % 0.47/0.68 (define @t78 () (=> @t7 @t77)) % 0.47/0.68 (define @t79 () (lambda (@list @t1) @t37)) % 0.47/0.68 (define @t80 () (_ @t38 @t2)) % 0.47/0.68 (define @t81 () (_ @t80 @t1)) % 0.47/0.68 (define @t82 () (=> @t6 (_ @t5 @t81))) % 0.47/0.68 (define @t83 () (=> @t7 @t82)) % 0.47/0.68 (define @t84 () (forall @t15 @t83)) % 0.47/0.68 (define @t85 () (=> tptp.binintersectI @t46)) % 0.47/0.68 (define @t86 () (tptp.subset @t2 @t1)) % 0.47/0.68 (define @t87 () (not @t3)) % 0.47/0.68 (define @t88 () (or @t87 @t74 @t6)) % 0.47/0.68 (define @t89 () (or @t74 @t6)) % 0.47/0.68 (define @t90 () (=> tptp.subsetE @t85)) % 0.47/0.68 (define @t91 () (not @t73)) % 0.47/0.68 (define @t92 () (forall @t9 (or @t91 @t40))) % 0.47/0.68 (define @t93 () (not @t92)) % 0.47/0.68 (define @t94 () (or @t93 @t3)) % 0.47/0.68 (define @t95 () (=> tptp.subsetI1 @t90)) % 0.47/0.68 (define @t96 () (_ @t24 @t37)) % 0.47/0.68 (define @t97 () (not @t25)) % 0.47/0.68 (define @t98 () (not @t27)) % 0.47/0.68 (define @t99 () (or @t98 @t97 @t96)) % 0.47/0.68 (define @t100 () (=> @t25 @t96)) % 0.47/0.68 (define @t101 () (=> @t25 (_ @t24 @t81))) % 0.47/0.68 (define @t102 () (=> @t27 @t101)) % 0.47/0.68 (define @t103 () (forall @t29 @t102)) % 0.47/0.68 (define @t104 () (=> tptp.binintersectI @t103)) % 0.47/0.68 (define @t105 () (=> tptp.subsetE @t104)) % 0.47/0.68 (define @t106 () (=> tptp.subsetI1 @t105)) % 0.47/0.68 (define @t107 () (@quantifiers_skolemize @t46 0)) % 0.47/0.68 (define @t108 () (tptp.dsetconstr @t107 @t50)) % 0.47/0.68 (define @t109 () (tptp.in @t4 @t47)) % 0.47/0.68 (define @t110 () (lambda @t9 @t109)) % 0.47/0.68 (define @t111 () (@purify @t110)) % 0.47/0.68 (define @t112 () (tptp.dsetconstr @t107 @t111)) % 0.47/0.68 (define @t113 () (@quantifiers_skolemize @t46 2)) % 0.47/0.68 (define @t114 () (forall @t9 (or (not (tptp.in @t4 @t113)) (tptp.in @t4 @t112)))) % 0.47/0.68 (define @t115 () (@quantifiers_skolemize @t114 0)) % 0.47/0.68 (define @t116 () (tptp.in @t115 @t108)) % 0.47/0.68 (define @t117 () (tptp.in @t115 @t47)) % 0.47/0.68 (define @t118 () (not @t117)) % 0.47/0.68 (define @t119 () (tptp.in @t115 @t107)) % 0.47/0.68 (define @t120 () (not @t119)) % 0.47/0.68 (define @t121 () (or @t120 @t118 @t116)) % 0.47/0.68 (define @t122 () (forall @t15 (or @t91 (not @t40) @t70))) % 0.47/0.68 (define @t123 () (tptp.dsetconstr @t107 @t51)) % 0.47/0.68 (define @t124 () (tptp.in @t115 @t123)) % 0.47/0.68 (define @t125 () (or @t120 @t118 @t124)) % 0.47/0.68 (define @t126 () (tptp.subset @t113 @t112)) % 0.47/0.68 (define @t127 () (tptp.subset @t113 @t47)) % 0.47/0.68 (define @t128 () (not @t127)) % 0.47/0.68 (define @t129 () (tptp.subset @t113 @t107)) % 0.47/0.68 (define @t130 () (not @t129)) % 0.47/0.68 (define @t131 () (or @t130 @t128 @t126)) % 0.47/0.68 (define @t132 () (not @t131)) % 0.47/0.68 (define @t133 () (not @t46)) % 0.47/0.68 (define @t134 () (tptp.dsetconstr @t107 @t110)) % 0.47/0.68 (define @t135 () (tptp.subset @t113 @t134)) % 0.47/0.68 (define @t136 () (or @t130 @t128 @t135)) % 0.47/0.68 (define @t137 () (not @t136)) % 0.47/0.68 (define @t138 () (@list true)) % 0.47/0.68 (define @t139 () (@list @t131)) % 0.47/0.68 (define @t140 () (not @t114)) % 0.47/0.68 (define @t141 () (or @t140 @t126)) % 0.47/0.68 (define @t142 () (@list true false)) % 0.47/0.68 (define @t143 () (tptp.in @t115 @t113)) % 0.47/0.68 (define @t144 () (tptp.in @t115 @t112)) % 0.47/0.68 (define @t145 () (not @t143)) % 0.47/0.68 (define @t146 () (or @t145 @t144)) % 0.47/0.68 (define @t147 () (@list @t146)) % 0.47/0.68 (define @t148 () (or @t128 @t145 @t117)) % 0.47/0.68 (define @t149 () (@list false false false)) % 0.47/0.68 (define @t150 () (or @t130 @t145 @t119)) % 0.47/0.68 (define @t151 () (not @t144)) % 0.47/0.68 (define @t152 () (not @t124)) % 0.47/0.68 (define @t153 () (= @t111 @t51)) % 0.47/0.68 (define @t154 () (not @t153)) % 0.47/0.68 (define @t155 () (_ @t111 @t56)) % 0.47/0.68 (define @t156 () (= @t155 @t58)) % 0.47/0.68 (define @t157 () (not @t156)) % 0.47/0.68 (define @t158 () (_ @t111 @t4)) % 0.47/0.68 (define @t159 () (_ @t110 @t4)) % 0.47/0.68 (define @t160 () (= @t158 @t159)) % 0.47/0.68 (define @t161 () (forall @t9 @t160)) % 0.47/0.68 (define @t162 () (forall @t9 (= @t109 @t158))) % 0.47/0.68 (define @t163 () (= @t57 @t155)) % 0.47/0.68 (define @t164 () (= @t155 @t57)) % 0.47/0.68 (define @t165 () (not @t164)) % 0.47/0.68 (define @t166 () (not @t155)) % 0.47/0.68 (define @t167 () (not @t62)) % 0.47/0.68 (define @t168 () (not @t57)) % 0.47/0.68 (assume @p1 @t14) % 0.47/0.68 (assume @p2 @t17) % 0.47/0.68 (assume @p3 @t22) % 0.47/0.68 (assume @p4 @t34) % 0.47/0.68 (assume @p5 true) % 0.47/0.68 (step @p6 (= tptp.binintersect @t38) :rule refl :args (@t38)) % 0.47/0.68 (step @p7 :rule eq-symm :args (@t52 @t48)) % 0.47/0.68 (step @p8 :rule beta-reduce :args ((= @t53 @t48))) % 0.47/0.68 (step @p9 :rule refl :args (@t52)) % 0.47/0.68 (step @p10 :rule cong :premises (@p9 @p8) :args (@t54)) % 0.47/0.68 (step @p11 :rule trans :premises (@p10 @p7)) % 0.47/0.68 (step @p12 :rule cong :premises (@p11) :args (@t55)) % 0.47/0.68 (step @p13 :rule quant-unused-vars :args ((= (forall @t49 true) true))) % 0.47/0.68 (step @p14 :rule eq-refl :args (@t53)) % 0.47/0.68 (step @p15 :rule cong :premises (@p14) :args ((forall @t49 (= @t53 @t53)))) % 0.47/0.68 (step @p16 :rule trans :premises (@p15 @p13)) % 0.47/0.68 (step @p17 :rule refl :args (@t53)) % 0.47/0.68 (step @p18 :rule refl :args (@t39)) % 0.47/0.68 (step @p19 :rule skolem_intro :args (@t51)) % 0.47/0.68 (step @p20 :rule ho_cong :premises (@p19 @p18)) % 0.47/0.68 (step @p21 :rule cong :premises (@p20 @p17) :args (@t54)) % 0.47/0.68 (step @p22 :rule cong :premises (@p21) :args (@t55)) % 0.47/0.68 (step @p23 :rule trans :premises (@p22 @p16)) % 0.47/0.68 (step @p24 :rule true_elim :premises (@p23)) % 0.47/0.68 (step @p25 :rule eq_resolve :premises (@p24 @p12)) % 0.47/0.68 (step @p26 :rule eq-symm :args (@t57 @t58)) % 0.47/0.68 (step @p27 :rule refl :args (@t59)) % 0.47/0.68 (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t59 @t60))) % 0.47/0.68 (assume-push @p395 @t59) % 0.47/0.68 (step @p30 :rule instantiate :premises (@p25) :args (@t61)) % 0.47/0.68 (step-pop @p396 :rule scope :premises (@p30)) % 0.47/0.68 (step @p31 :rule process_scope :premises (@p396) :args (@t60)) % 0.47/0.68 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 0.47/0.68 (step @p34 :rule implies_elim :premises (@p33)) % 0.47/0.68 (step @p35 :rule chain_m_resolution :premises (@p34 @p25) :args (@t62 @t63 (@list @t59))) % 0.47/0.68 (step @p36 :rule refl :args (@t46)) % 0.47/0.68 (step @p37 :rule refl :args ((tptp.in @t4 @t66))) % 0.47/0.68 (step @p38 :rule refl :args ((tptp.dsetconstr @t2 @t65))) % 0.47/0.68 (step @p39 :rule refl :args (@t67)) % 0.47/0.68 (step @p40 :rule cong :premises (@p39) :args (@t68)) % 0.47/0.68 (step @p41 :rule refl :args (@t2)) % 0.47/0.68 (step @p42 :rule cong :premises (@p41 @p40) :args (@t69)) % 0.47/0.68 (step @p43 :rule trans :premises (@p42 @p38)) % 0.47/0.68 (step @p44 :rule refl :args (@t4)) % 0.47/0.68 (step @p45 :rule cong :premises (@p44 @p43) :args (@t70)) % 0.47/0.68 (step @p46 :rule trans :premises (@p45 @p37)) % 0.47/0.68 (step @p47 :rule refl :args (@t5)) % 0.47/0.68 (step @p48 :rule ho_cong :premises (@p47 @p43)) % 0.47/0.68 (step @p49 :rule cong :premises (@p48 @p46) :args ((= (_ @t5 @t69) @t70))) % 0.47/0.68 (step @p50 :rule symm :premises (@p49)) % 0.47/0.68 (step @p51 :rule refl :args (@t71)) % 0.47/0.68 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.47/0.68 (step @p53 :rule refl :args (@t36)) % 0.47/0.68 (step @p54 :rule ho_cong :premises (@p53 @p40)) % 0.47/0.68 (step @p55 :rule cong :premises (@p54 @p43) :args ((= (_ @t36 @t68) @t69))) % 0.47/0.68 (step @p56 :rule symm :premises (@p55)) % 0.47/0.68 (step @p57 :rule refl :args (@t66)) % 0.47/0.68 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.47/0.68 (step @p59 :rule refl :args (@t64)) % 0.47/0.68 (step @p60 :rule cong :premises (@p59 @p39) :args ((= @t64 @t67))) % 0.47/0.68 (step @p61 :rule symm :premises (@p60)) % 0.47/0.68 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 0.47/0.68 (step @p63 :rule cong :premises (@p62) :args (@t65)) % 0.47/0.68 (step @p64 :rule ho_cong :premises (@p53 @p63)) % 0.47/0.68 (step @p65 :rule trans :premises (@p64 @p58)) % 0.47/0.68 (step @p66 :rule ho_cong :premises (@p47 @p65)) % 0.47/0.68 (step @p67 :rule trans :premises (@p66 @p52)) % 0.47/0.68 (step @p68 :rule refl :args (@t40)) % 0.47/0.68 (step @p69 :rule refl :args (@t6)) % 0.47/0.68 (step @p70 :rule cong :premises (@p69 @p68) :args ((= @t6 @t40))) % 0.47/0.68 (step @p71 :rule symm :premises (@p70)) % 0.47/0.68 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 0.47/0.68 (step @p73 :rule cong :premises (@p72) :args 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@p338 :rule cong :premises (@p244 @p337) :args (@t124)) % 0.47/0.68 (step @p339 :rule true_intro :premises (@p324)) % 0.47/0.68 (step @p340 :rule symm :premises (@p339)) % 0.47/0.68 (step @p341 :rule trans :premises (@p340 @p338 @p335)) % 0.47/0.68 (step @p342 false :rule eq_resolve :premises (@p341 @p334)) % 0.47/0.68 (step-pop @p404 :rule scope :premises (@p342)) % 0.47/0.68 (step-pop @p405 :rule scope :premises (@p404)) % 0.47/0.68 (step-pop @p406 :rule scope :premises (@p405)) % 0.47/0.68 (step @p343 :rule process_scope :premises (@p406) :args (false)) % 0.47/0.68 (step @p347 :rule not_and :premises (@p343)) % 0.47/0.68 (step @p348 :rule eq_resolve :premises (@p347 @p330)) % 0.47/0.68 (step @p349 :rule chain_m_resolution :premises (@p348 @p326 @p324) :args (@t154 @t142 (@list @t144 @t124))) % 0.47/0.68 ; WARNING: add trust step for TRUST % 0.47/0.68 ; trust TRUST THEORY_LEMMA % 0.47/0.68 (step @p350 :rule trust :premises () :args ((or @t153 @t157))) % 0.47/0.68 (step @p351 :rule chain_m_resolution :premises (@p350 @p349) :args (@t157 @t138 (@list @t153))) % 0.47/0.68 (step @p352 :rule eq-symm :args (@t158 @t109)) % 0.47/0.68 (step @p353 :rule beta-reduce :args ((= @t159 @t109))) % 0.47/0.68 (step @p354 :rule refl :args (@t158)) % 0.47/0.68 (step @p355 :rule cong :premises (@p354 @p353) :args (@t160)) % 0.47/0.68 (step @p356 :rule trans :premises (@p355 @p352)) % 0.47/0.68 (step @p357 :rule cong :premises (@p356) :args (@t161)) % 0.47/0.68 (step @p358 :rule quant-unused-vars :args ((= (forall @t9 true) true))) % 0.47/0.68 (step @p359 :rule eq-refl :args (@t159)) % 0.47/0.68 (step @p360 :rule cong :premises (@p359) :args ((forall @t9 (= @t159 @t159)))) % 0.47/0.68 (step @p361 :rule trans :premises (@p360 @p358)) % 0.47/0.68 (step @p362 :rule refl :args (@t159)) % 0.47/0.68 (step @p363 :rule refl :args (@t4)) % 0.47/0.68 (step @p364 :rule ho_cong :premises (@p267 @p363)) % 0.47/0.68 (step @p365 :rule cong :premises (@p364 @p362) :args (@t160)) % 0.47/0.68 (step @p366 :rule cong :premises (@p365) :args (@t161)) % 0.47/0.68 (step @p367 :rule trans :premises (@p366 @p361)) % 0.47/0.68 (step @p368 :rule true_elim :premises (@p367)) % 0.47/0.68 (step @p369 :rule eq_resolve :premises (@p368 @p357)) % 0.47/0.68 (step @p370 :rule eq-symm :args (@t57 @t155)) % 0.47/0.68 (step @p371 :rule refl :args (@t162)) % 0.47/0.68 (step @p372 :rule cong :premises (@p371 @p370) :args ((=> @t162 @t163))) % 0.47/0.68 (assume-push @p407 @t162) % 0.47/0.68 (step @p374 :rule instantiate :premises (@p369) :args (@t61)) % 0.47/0.68 (step-pop @p408 :rule scope :premises (@p374)) % 0.47/0.68 (step @p375 :rule process_scope :premises (@p408) :args (@t163)) % 0.47/0.68 (step @p377 :rule eq_resolve :premises (@p375 @p372)) % 0.47/0.68 (step @p378 :rule implies_elim :premises (@p377)) % 0.47/0.68 (step @p379 :rule chain_m_resolution :premises (@p378 @p369) :args (@t164 @t63 (@list @t162))) % 0.47/0.68 (step @p380 :rule cnf_equiv_pos1 :args (@t164)) % 0.47/0.68 (step @p381 :rule reordering :premises (@p380) :args ((or @t166 @t57 @t165))) % 0.47/0.68 (step @p382 :rule cnf_equiv_neg2 :args (@t156)) % 0.47/0.68 (step @p383 :rule cnf_equiv_pos2 :args (@t62)) % 0.47/0.68 (step @p384 :rule reordering :premises (@p383) :args ((or @t58 @t168 @t167))) % 0.47/0.68 (step @p385 :rule chain_m_resolution :premises (@p384 @p35 @p382 @p351 @p381 @p379) :args (@t166 (@list false true true false false) (@list @t62 @t58 @t156 @t57 @t164))) % 0.47/0.68 (step @p386 :rule cnf_equiv_neg1 :args (@t156)) % 0.47/0.68 (step @p387 :rule reordering :premises (@p386) :args ((or @t155 @t58 @t156))) % 0.47/0.68 (step @p388 :rule chain_m_resolution :premises (@p387 @p385 @p351) :args (@t58 (@list true true) (@list @t155 @t156))) % 0.47/0.68 (step @p389 :rule cnf_equiv_pos2 :args (@t164)) % 0.47/0.68 (step @p390 :rule reordering :premises (@p389) :args ((or @t155 @t168 @t165))) % 0.47/0.68 (step @p391 :rule chain_m_resolution :premises (@p390 @p385 @p379) :args (@t168 @t142 (@list @t155 @t164))) % 0.47/0.68 (step @p392 :rule cnf_equiv_pos1 :args (@t62)) % 0.47/0.68 (step @p393 :rule reordering :premises (@p392) :args ((or (not @t58) @t57 @t167))) % 0.47/0.68 (step @p394 false :rule chain_m_resolution :premises (@p393 @p391 @p388 @p35) :args (false (@list true false false) (@list @t57 @t58 @t62))) % 0.47/0.68 ) % 0.47/0.68 % SZS output end Proof % 0.47/0.68 % cvc5 exiting %------------------------------------------------------------------------------