%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM388+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:39:18 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM388+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:16:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.function (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.empty_set $$unsorted) % 0.38/0.59 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.relation_non_empty (-> $$unsorted Bool)) % 0.38/0.59 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.59 (define @t3 () (tptp.in @t2 @t1)) % 0.38/0.59 (define @t4 () (tptp.in @t1 @t2)) % 0.38/0.59 (define @t5 () (@list @t1 @t2)) % 0.38/0.59 (define @t6 () (tptp.function @t1)) % 0.38/0.59 (define @t7 () (tptp.empty @t1)) % 0.38/0.59 (define @t8 () (@list @t1)) % 0.38/0.59 (define @t9 () (tptp.epsilon_connected @t1)) % 0.38/0.59 (define @t10 () (tptp.epsilon_transitive @t1)) % 0.38/0.59 (define @t11 () (and @t10 @t9)) % 0.38/0.59 (define @t12 () (tptp.ordinal @t1)) % 0.38/0.59 (define @t13 () (forall @t8 (=> @t12 @t11))) % 0.38/0.59 (define @t14 () (tptp.relation @t1)) % 0.38/0.59 (define @t15 () (and @t14 @t6 (tptp.one_to_one @t1))) % 0.38/0.59 (define @t16 () (and @t14 @t7 @t6)) % 0.38/0.59 (define @t17 () (tptp.subset @t2 @t1)) % 0.38/0.59 (define @t18 () (@list @t2)) % 0.38/0.59 (define @t19 () (forall @t18 (=> @t3 @t17))) % 0.38/0.59 (define @t20 () (= @t10 @t19)) % 0.38/0.59 (define @t21 () (forall @t8 @t20)) % 0.38/0.59 (define @t22 () (tptp.relation tptp.empty_set)) % 0.38/0.59 (define @t23 () (tptp.empty tptp.empty_set)) % 0.38/0.59 (define @t24 () (not @t7)) % 0.38/0.59 (define @t25 () (tptp.relation_empty_yielding @t1)) % 0.38/0.59 (define @t26 () (@var "C" $$unsorted)) % 0.38/0.59 (define @t27 () (tptp.in @t26 @t2)) % 0.38/0.59 (define @t28 () (tptp.in @t26 @t1)) % 0.38/0.59 (define @t29 () (and @t28 @t4)) % 0.38/0.59 (define @t30 () (=> @t29 @t27)) % 0.38/0.59 (define @t31 () (tptp.epsilon_transitive @t26)) % 0.38/0.59 (define @t32 () (@list @t26)) % 0.38/0.59 (define @t33 () (forall @t32 (=> @t31 @t30))) % 0.38/0.59 (define @t34 () (tptp.ordinal @t2)) % 0.38/0.59 (define @t35 () (=> @t34 @t33)) % 0.38/0.59 (define @t36 () (forall @t18 @t35)) % 0.38/0.59 (define @t37 () (=> @t12 @t36)) % 0.38/0.59 (define @t38 () (forall @t8 @t37)) % 0.38/0.59 (define @t39 () (not @t38)) % 0.38/0.59 (define @t40 () (tptp.element @t1 @t2)) % 0.38/0.59 (define @t41 () (tptp.empty @t2)) % 0.38/0.59 (define @t42 () (or @t41 @t4)) % 0.38/0.59 (define @t43 () (forall @t5 (=> @t40 @t42))) % 0.38/0.59 (define @t44 () (forall @t5 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.38/0.59 (define @t45 () (tptp.element @t1 @t26)) % 0.38/0.59 (define @t46 () (tptp.element @t2 (tptp.powerset @t26))) % 0.38/0.59 (define @t47 () (and @t4 @t46)) % 0.38/0.59 (define @t48 () (@list @t1 @t2 @t26)) % 0.38/0.59 (define @t49 () (forall @t48 (=> @t47 @t45))) % 0.38/0.59 (define @t50 () (forall @t5 (not (and @t4 @t41)))) % 0.38/0.59 (define @t51 () (@var "BOUND_VARIABLE_7684" $$unsorted)) % 0.38/0.59 (define @t52 () (@var "BOUND_VARIABLE_7686" $$unsorted)) % 0.38/0.59 (define @t53 () (tptp.in @t52 @t51)) % 0.38/0.59 (define @t54 () (not (tptp.in @t52 @t1))) % 0.38/0.59 (define @t55 () (not (tptp.epsilon_transitive @t52))) % 0.38/0.59 (define @t56 () (not (tptp.in @t1 @t51))) % 0.38/0.59 (define @t57 () (not (tptp.ordinal @t51))) % 0.38/0.59 (define @t58 () (not @t12)) % 0.38/0.59 (define @t59 () (or @t58 @t57 @t56 @t55 @t54 @t53)) % 0.38/0.59 (define @t60 () (or @t57 @t56 @t55 @t54 @t53)) % 0.38/0.59 (define @t61 () (or @t58 @t60)) % 0.38/0.59 (define @t62 () (@list @t1 @t51 @t52)) % 0.38/0.59 (define @t63 () (forall @t62 @t61)) % 0.38/0.59 (define @t64 () (@list @t51 @t52)) % 0.38/0.59 (define @t65 () (forall @t64 @t61)) % 0.38/0.59 (define @t66 () (forall @t64 @t60)) % 0.38/0.59 (define @t67 () (@var "BOUND_VARIABLE_7667" $$unsorted)) % 0.38/0.59 (define @t68 () (or @t58 @t66)) % 0.38/0.59 (define @t69 () (tptp.in @t67 @t2)) % 0.38/0.59 (define @t70 () (not (tptp.in @t67 @t1))) % 0.38/0.59 (define @t71 () (not (tptp.epsilon_transitive @t67))) % 0.38/0.59 (define @t72 () (not @t4)) % 0.38/0.59 (define @t73 () (not @t34)) % 0.38/0.59 (define @t74 () (or @t73 @t72 @t71 @t70 @t69)) % 0.38/0.59 (define @t75 () (@list @t2 @t67)) % 0.38/0.59 (define @t76 () (forall @t75 @t74)) % 0.38/0.59 (define @t77 () (or @t71 @t70 @t69)) % 0.38/0.59 (define @t78 () (or @t73 @t72 @t77)) % 0.38/0.59 (define @t79 () (forall @t75 @t78)) % 0.38/0.59 (define @t80 () (@list @t67)) % 0.38/0.59 (define @t81 () (forall @t80 @t78)) % 0.38/0.59 (define @t82 () (forall @t80 @t77)) % 0.38/0.59 (define @t83 () (or @t73 @t72 @t82)) % 0.38/0.59 (define @t84 () (not @t28)) % 0.38/0.59 (define @t85 () (not @t31)) % 0.38/0.59 (define @t86 () (or @t85 @t84 @t27)) % 0.38/0.59 (define @t87 () (forall @t32 @t86)) % 0.38/0.59 (define @t88 () (or @t73 @t72 @t87)) % 0.38/0.59 (define @t89 () (or @t72 @t87)) % 0.38/0.59 (define @t90 () (or @t72 @t86)) % 0.38/0.59 (define @t91 () (or @t85 @t84 @t72 @t27)) % 0.38/0.59 (define @t92 () (or @t84 @t72 @t27)) % 0.38/0.59 (define @t93 () (forall @t62 @t59)) % 0.38/0.59 (define @t94 () (@quantifiers_skolemize @t93 0)) % 0.38/0.59 (define @t95 () (@quantifiers_skolemize @t93 2)) % 0.38/0.59 (define @t96 () (tptp.in @t95 @t94)) % 0.38/0.59 (define @t97 () (@quantifiers_skolemize @t93 1)) % 0.38/0.59 (define @t98 () (tptp.in @t95 @t97)) % 0.38/0.59 (define @t99 () (not @t96)) % 0.38/0.59 (define @t100 () (tptp.in @t94 @t97)) % 0.38/0.59 (define @t101 () (not @t100)) % 0.38/0.59 (define @t102 () (tptp.ordinal @t97)) % 0.38/0.59 (define @t103 () (not @t102)) % 0.38/0.59 (define @t104 () (or (not (tptp.ordinal @t94)) @t103 @t101 (not (tptp.epsilon_transitive @t95)) @t99 @t98)) % 0.38/0.59 (define @t105 () (@list true)) % 0.38/0.59 (define @t106 () (@list @t104)) % 0.38/0.59 (define @t107 () (not @t40)) % 0.38/0.59 (define @t108 () (@list @t94 @t97)) % 0.38/0.59 (define @t109 () (tptp.empty @t97)) % 0.38/0.59 (define @t110 () (not @t109)) % 0.38/0.59 (define @t111 () (or @t101 @t110)) % 0.38/0.59 (define @t112 () (@list false false)) % 0.38/0.59 (define @t113 () (tptp.element @t95 @t97)) % 0.38/0.59 (define @t114 () (not @t113)) % 0.38/0.59 (define @t115 () (or @t114 @t109 @t98)) % 0.38/0.59 (define @t116 () (not @t46)) % 0.38/0.59 (define @t117 () (tptp.element @t94 (tptp.powerset @t97))) % 0.38/0.59 (define @t118 () (tptp.subset @t94 @t97)) % 0.38/0.59 (define @t119 () (= @t117 @t118)) % 0.38/0.59 (define @t120 () (= @t118 @t117)) % 0.38/0.59 (define @t121 () (@list false)) % 0.38/0.59 (define @t122 () (@list @t97)) % 0.38/0.59 (define @t123 () (tptp.epsilon_transitive @t97)) % 0.38/0.59 (define @t124 () (and @t123 (tptp.epsilon_connected @t97))) % 0.38/0.59 (define @t125 () (or @t103 @t124)) % 0.38/0.59 (define @t126 () (forall @t18 (or (not (tptp.in @t2 @t97)) (tptp.subset @t2 @t97)))) % 0.38/0.59 (define @t127 () (= @t123 @t126)) % 0.38/0.59 (define @t128 () (or @t101 @t118)) % 0.38/0.59 (define @t129 () (not @t117)) % 0.38/0.59 (define @t130 () (or @t99 @t129 @t113)) % 0.38/0.59 (assume @p1 (forall @t5 (=> @t4 (not @t3)))) % 0.38/0.59 (assume @p2 (forall @t8 (=> @t7 @t6))) % 0.38/0.59 (assume @p3 @t13) % 0.38/0.59 (assume @p4 (forall @t8 (=> @t7 @t14))) % 0.38/0.59 (assume @p5 (forall @t8 (=> @t16 @t15))) % 0.38/0.59 (assume @p6 (forall @t8 (=> @t11 @t12))) % 0.38/0.59 (assume @p7 @t21) % 0.38/0.59 (assume @p8 (forall @t8 (exists @t18 (tptp.element @t2 @t1)))) % 0.38/0.59 (assume @p9 (and @t23 @t22 (tptp.relation_empty_yielding tptp.empty_set))) % 0.38/0.59 (assume @p10 @t23) % 0.38/0.59 (assume @p11 (and @t23 @t22)) % 0.38/0.59 (assume @p12 (exists @t8 (and @t14 @t6))) % 0.38/0.59 (assume @p13 (exists @t8 (and @t10 @t9 @t12))) % 0.38/0.59 (assume @p14 (exists @t8 (and @t7 @t14))) % 0.38/0.59 (assume @p15 (exists @t8 @t7)) % 0.38/0.59 (assume @p16 (exists @t8 @t16)) % 0.38/0.59 (assume @p17 (exists @t8 (and @t24 @t14))) % 0.38/0.59 (assume @p18 (exists @t8 @t24)) % 0.38/0.59 (assume @p19 (exists @t8 @t15)) % 0.38/0.59 (assume @p20 (exists @t8 (and @t14 @t25))) % 0.38/0.59 (assume @p21 (exists @t8 (and @t14 @t25 @t6))) % 0.38/0.59 (assume @p22 (exists @t8 (and @t14 (tptp.relation_non_empty @t1) @t6))) % 0.38/0.59 (assume @p23 (forall @t5 (tptp.subset @t1 @t1))) % 0.38/0.59 (assume @p24 @t39) % 0.38/0.59 (assume @p25 (forall @t5 (=> @t4 @t40))) % 0.38/0.59 (assume @p26 @t43) % 0.38/0.59 (assume @p27 @t44) % 0.38/0.59 (assume @p28 @t49) % 0.38/0.59 (assume @p29 (forall @t48 (not (and @t4 @t46 (tptp.empty @t26))))) % 0.38/0.59 (assume @p30 (forall @t8 (=> @t7 (= @t1 tptp.empty_set)))) % 0.38/0.59 (assume @p31 @t50) % 0.38/0.59 (assume @p32 (forall @t5 (not (and @t7 (not (= @t1 @t2)) @t41)))) % 0.38/0.59 (assume @p33 true) % 0.38/0.59 (step @p34 :rule aci_norm :args ((= @t61 @t59))) % 0.38/0.59 (step @p35 :rule cong :premises (@p34) :args (@t63)) % 0.38/0.59 (step @p36 :rule quant-merge-prenex :args ((= (forall @t8 @t65) @t63))) % 0.38/0.59 (step @p37 :rule alpha_equiv :args (@t66 (@list @t51 @t52) (@list @t2 @t67))) % 0.38/0.59 (step @p38 :rule refl :args (@t58)) % 0.38/0.59 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t68)) % 0.38/0.59 (step @p40 :rule quant-miniscope-or :args ((= @t65 @t68))) % 0.38/0.59 (step @p41 :rule trans :premises (@p40 @p39)) % 0.38/0.59 (step @p42 :rule symm :premises (@p41)) % 0.38/0.59 (step @p43 :rule cong :premises (@p42) :args ((forall @t8 (or @t58 @t76)))) % 0.38/0.59 (step @p44 :rule trans :premises (@p43 @p36)) % 0.38/0.59 (step @p45 :rule trans :premises (@p44 @p35)) % 0.38/0.59 (step @p46 :rule bool-impl-elim :args (@t12 @t76)) % 0.38/0.59 (step @p47 :rule cong :premises (@p46) :args ((forall @t8 (=> @t12 @t76)))) % 0.38/0.59 (step @p48 :rule trans :premises (@p47 @p45)) % 0.38/0.59 (step @p49 :rule aci_norm :args ((= @t78 @t74))) % 0.38/0.59 (step @p50 :rule cong :premises (@p49) :args (@t79)) % 0.38/0.59 (step @p51 :rule quant-merge-prenex :args ((= (forall @t18 @t81) @t79))) % 0.38/0.59 (step @p52 :rule alpha_equiv :args (@t82 (@list @t67) (@list @t26))) % 0.38/0.59 (step @p53 :rule refl :args (@t72)) % 0.38/0.59 (step @p54 :rule refl :args (@t73)) % 0.38/0.59 (step @p55 :rule nary_cong :premises (@p54 @p53 @p52) :args (@t83)) % 0.38/0.59 (step @p56 :rule quant-miniscope-or :args ((= @t81 @t83))) % 0.38/0.59 (step @p57 :rule trans :premises (@p56 @p55)) % 0.38/0.59 (step @p58 :rule symm :premises (@p57)) % 0.38/0.59 (step @p59 :rule cong :premises (@p58) :args ((forall @t18 @t88))) % 0.38/0.59 (step @p60 :rule trans :premises (@p59 @p51)) % 0.38/0.59 (step @p61 :rule trans :premises (@p60 @p50)) % 0.38/0.59 (step @p62 :rule aci_norm :args ((= (or @t73 @t89) @t88))) % 0.38/0.59 (step @p63 :rule bool-impl-elim :args (@t34 @t89)) % 0.38/0.59 (step @p64 :rule trans :premises (@p63 @p62)) % 0.38/0.59 (step @p65 :rule cong :premises (@p64) :args ((forall @t18 (=> @t34 @t89)))) % 0.38/0.59 (step @p66 :rule trans :premises (@p65 @p61)) % 0.38/0.59 (step @p67 :rule quant-miniscope-or :args ((= (forall @t32 @t90) @t89))) % 0.38/0.59 (step @p68 :rule aci_norm :args ((= @t91 @t90))) % 0.38/0.59 (step @p69 :rule cong :premises (@p68) :args ((forall @t32 @t91))) % 0.38/0.59 (step @p70 :rule trans :premises (@p69 @p67)) % 0.38/0.59 (step @p71 :rule aci_norm :args ((= (or @t85 @t92) @t91))) % 0.38/0.59 (step @p72 :rule aci_norm :args ((= (or (or @t84 @t72) @t27) @t92))) % 0.38/0.59 (step @p73 :rule refl :args (@t27)) % 0.38/0.59 (step @p74 :rule bool-and-de-morgan :args (@t28 @t4 true)) % 0.38/0.59 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or (not @t29) @t27))) % 0.38/0.59 (step @p76 :rule trans :premises (@p75 @p72)) % 0.38/0.59 (step @p77 :rule bool-impl-elim :args (@t29 @t27)) % 0.38/0.59 (step @p78 :rule trans :premises (@p77 @p76)) % 0.38/0.59 (step @p79 :rule refl :args (@t85)) % 0.38/0.59 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t85 @t30))) % 0.38/0.59 (step @p81 :rule trans :premises (@p80 @p71)) % 0.38/0.59 (step @p82 :rule bool-impl-elim :args (@t31 @t30)) % 0.38/0.59 (step @p83 :rule trans :premises (@p82 @p81)) % 0.38/0.59 (step @p84 :rule cong :premises (@p83) :args (@t33)) % 0.38/0.59 (step @p85 :rule trans :premises (@p84 @p70)) % 0.38/0.59 (step @p86 :rule refl :args (@t34)) % 0.38/0.59 (step @p87 :rule cong :premises (@p86 @p85) :args (@t35)) % 0.38/0.59 (step @p88 :rule cong :premises (@p87) :args (@t36)) % 0.38/0.59 (step @p89 :rule trans :premises (@p88 @p66)) % 0.38/0.59 (step @p90 :rule refl :args (@t12)) % 0.38/0.59 (step @p91 :rule cong :premises (@p90 @p89) :args (@t37)) % 0.38/0.59 (step @p92 :rule cong :premises (@p91) :args (@t38)) % 0.38/0.59 (step @p93 :rule trans :premises (@p92 @p48)) % 0.38/0.59 (step @p94 :rule cong :premises (@p93) :args (@t39)) % 0.38/0.59 (step @p95 :rule eq_resolve :premises (@p24 @p94)) % 0.38/0.59 (step @p96 :rule skolemize :premises (@p95)) % 0.38/0.59 (step @p97 :rule bool-double-not-elim :args (@t96)) % 0.38/0.59 (step @p98 :rule refl :args (@t104)) % 0.38/0.59 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or @t104 (not @t99)))) % 0.38/0.59 (step @p100 :rule cnf_or_neg :args (@t104 4)) % 0.38/0.59 (step @p101 :rule eq_resolve :premises (@p100 @p99)) % 0.38/0.59 (step @p102 :rule reordering :premises (@p101) :args ((or @t96 @t104))) % 0.38/0.59 (step @p103 :rule chain_m_resolution :premises (@p102 @p96) :args (@t96 @t105 @t106)) % 0.38/0.59 (step @p104 :rule aci_norm :args ((= (or @t107 @t42) (or @t107 @t41 @t4)))) % 0.38/0.59 (step @p105 :rule bool-impl-elim :args (@t40 @t42)) % 0.38/0.59 (step @p106 :rule trans :premises (@p105 @p104)) % 0.38/0.59 (step @p107 :rule cong :premises (@p106) :args (@t43)) % 0.38/0.59 (step @p108 :rule eq_resolve :premises (@p26 @p107)) % 0.38/0.59 (step @p109 :rule instantiate :premises (@p108) :args ((@list @t95 @t97))) % 0.38/0.59 (step @p110 :rule bool-and-de-morgan :args (@t4 @t41 true)) % 0.38/0.59 (step @p111 :rule cong :premises (@p110) :args (@t50)) % 0.38/0.59 (step @p112 :rule eq_resolve :premises (@p31 @p111)) % 0.38/0.59 (step @p113 :rule instantiate :premises (@p112) :args (@t108)) % 0.38/0.59 (step @p114 :rule bool-double-not-elim :args (@t100)) % 0.38/0.59 (step @p115 :rule nary_cong :premises (@p98 @p114) :args ((or @t104 (not @t101)))) % 0.38/0.59 (step @p116 :rule cnf_or_neg :args (@t104 2)) % 0.38/0.59 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 0.38/0.59 (step @p118 :rule reordering :premises (@p117) :args ((or @t100 @t104))) % 0.38/0.59 (step @p119 :rule chain_m_resolution :premises (@p118 @p96) :args (@t100 @t105 @t106)) % 0.38/0.59 (step @p120 :rule cnf_or_pos :args (@t111)) % 0.38/0.59 (step @p121 :rule reordering :premises (@p120) :args ((or @t101 @t110 (not @t111)))) % 0.38/0.59 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p113) :args (@t110 @t112 (@list @t100 @t111))) % 0.38/0.59 (step @p123 :rule cnf_or_neg :args (@t104 5)) % 0.38/0.59 (step @p124 :rule chain_m_resolution :premises (@p123 @p96) :args ((not @t98) @t105 @t106)) % 0.38/0.59 (step @p125 :rule cnf_or_pos :args (@t115)) % 0.38/0.59 (step @p126 :rule reordering :premises (@p125) :args ((or @t98 @t114 @t109 (not @t115)))) % 0.38/0.59 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p122 @p109) :args (@t114 (@list true true false) (@list @t98 @t109 @t115))) % 0.38/0.59 (step @p128 :rule aci_norm :args ((= (or (or @t72 @t116) @t45) (or @t72 @t116 @t45)))) % 0.38/0.59 (step @p129 :rule refl :args (@t45)) % 0.38/0.59 (step @p130 :rule bool-and-de-morgan :args (@t4 @t46 true)) % 0.38/0.59 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or (not @t47) @t45))) % 0.38/0.59 (step @p132 :rule trans :premises (@p131 @p128)) % 0.38/0.59 (step @p133 :rule bool-impl-elim :args (@t47 @t45)) % 0.38/0.59 (step @p134 :rule trans :premises (@p133 @p132)) % 0.38/0.59 (step @p135 :rule cong :premises (@p134) :args (@t49)) % 0.38/0.59 (step @p136 :rule eq_resolve :premises (@p28 @p135)) % 0.38/0.59 (step @p137 :rule instantiate :premises (@p136) :args ((@list @t95 @t94 @t97))) % 0.38/0.59 (step @p138 :rule eq-symm :args (@t117 @t118)) % 0.38/0.59 (step @p139 :rule refl :args (@t44)) % 0.38/0.59 (step @p140 :rule cong :premises (@p139 @p138) :args ((=> @t44 @t119))) % 0.38/0.59 (assume-push @p184 @t44) % 0.38/0.59 (step @p142 :rule instantiate :premises (@p27) :args (@t108)) % 0.38/0.59 (step-pop @p185 :rule scope :premises (@p142)) % 0.38/0.59 (step @p143 :rule process_scope :premises (@p185) :args (@t119)) % 0.38/0.59 (step @p145 :rule eq_resolve :premises (@p143 @p140)) % 0.38/0.59 (step @p146 :rule implies_elim :premises (@p145)) % 0.38/0.59 (step @p147 :rule chain_m_resolution :premises (@p146 @p27) :args (@t120 @t121 (@list @t44))) % 0.38/0.59 (step @p148 :rule bool-impl-elim :args (@t3 @t17)) % 0.38/0.59 (step @p149 :rule cong :premises (@p148) :args (@t19)) % 0.38/0.59 (step @p150 :rule refl :args (@t10)) % 0.38/0.59 (step @p151 :rule cong :premises (@p150 @p149) :args (@t20)) % 0.38/0.59 (step @p152 :rule cong :premises (@p151) :args (@t21)) % 0.38/0.59 (step @p153 :rule eq_resolve :premises (@p7 @p152)) % 0.38/0.59 (step @p154 :rule instantiate :premises (@p153) :args (@t122)) % 0.38/0.59 (step @p155 :rule bool-impl-elim :args (@t12 @t11)) % 0.38/0.59 (step @p156 :rule cong :premises (@p155) :args (@t13)) % 0.38/0.59 (step @p157 :rule eq_resolve :premises (@p3 @p156)) % 0.38/0.59 (step @p158 :rule instantiate :premises (@p157) :args (@t122)) % 0.38/0.59 (step @p159 :rule bool-double-not-elim :args (@t102)) % 0.38/0.59 (step @p160 :rule nary_cong :premises (@p98 @p159) :args ((or @t104 (not @t103)))) % 0.38/0.59 (step @p161 :rule cnf_or_neg :args (@t104 1)) % 0.38/0.59 (step @p162 :rule eq_resolve :premises (@p161 @p160)) % 0.38/0.59 (step @p163 :rule reordering :premises (@p162) :args ((or @t102 @t104))) % 0.38/0.59 (step @p164 :rule chain_m_resolution :premises (@p163 @p96) :args (@t102 @t105 @t106)) % 0.38/0.59 (step @p165 :rule cnf_or_pos :args (@t125)) % 0.38/0.59 (step @p166 :rule reordering :premises (@p165) :args ((or @t103 @t124 (not @t125)))) % 0.38/0.59 (step @p167 :rule chain_m_resolution :premises (@p166 @p164 @p158) :args (@t124 @t112 (@list @t102 @t125))) % 0.38/0.59 (step @p168 :rule cnf_and_pos :args (@t124 0)) % 0.38/0.59 (step @p169 :rule reordering :premises (@p168) :args ((or @t123 (not @t124)))) % 0.38/0.59 (step @p170 :rule chain_m_resolution :premises (@p169 @p167) :args (@t123 @t121 (@list @t124))) % 0.38/0.59 (step @p171 :rule cnf_equiv_pos1 :args (@t127)) % 0.38/0.59 (step @p172 :rule reordering :premises (@p171) :args ((or (not @t123) @t126 (not @t127)))) % 0.38/0.59 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p154) :args (@t126 @t112 (@list @t123 @t127))) % 0.38/0.59 (step @p174 :rule instantiate :premises (@p173) :args ((@list @t94))) % 0.38/0.59 (step @p175 :rule cnf_or_pos :args (@t128)) % 0.38/0.59 (step @p176 :rule reordering :premises (@p175) :args ((or @t101 @t118 (not @t128)))) % 0.38/0.59 (step @p177 :rule chain_m_resolution :premises (@p176 @p119 @p174) :args (@t118 @t112 (@list @t100 @t128))) % 0.38/0.59 (step @p178 :rule cnf_equiv_pos1 :args (@t120)) % 0.38/0.59 (step @p179 :rule reordering :premises (@p178) :args ((or (not @t118) @t117 (not @t120)))) % 0.38/0.59 (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p147) :args (@t117 @t112 (@list @t118 @t120))) % 0.38/0.59 (step @p181 :rule cnf_or_pos :args (@t130)) % 0.38/0.59 (step @p182 :rule reordering :premises (@p181) :args ((or @t99 @t113 @t129 (not @t130)))) % 0.38/0.59 (step @p183 false :rule chain_m_resolution :premises (@p182 @p180 @p137 @p127 @p103) :args (false (@list false false true false) (@list @t117 @t130 @t113 @t96))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------