%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET957+1 : TPTP v9.2.1. Bugfixed v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:49:03 AM UTC 2026 % Result : Theorem 38.23s 38.44s % Output : Proof 38.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET957+1 : TPTP v9.2.1. Bugfixed v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n020.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:18:55 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 38.23/38.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 38.23/38.44 --- Run --no-e-matching --full-saturate-quant at 6... % 38.23/38.44 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 38.23/38.44 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 38.23/38.44 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 38.23/38.44 % SZS status Theorem % 38.23/38.44 % SZS output start Proof % 38.23/38.44 ( % 38.23/38.44 (declare-sort $$unsorted 0) % 38.23/38.44 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 38.23/38.44 (declare-const tptp.empty (-> $$unsorted Bool)) % 38.23/38.44 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 38.23/38.44 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 38.23/38.44 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 38.23/38.44 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 38.23/38.44 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 38.23/38.44 (define @t1 () (@var "A" $$unsorted)) % 38.23/38.44 (define @t2 () (@var "B" $$unsorted)) % 38.23/38.44 (define @t3 () (@list @t1 @t2)) % 38.23/38.44 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 38.23/38.44 (define @t5 () (tptp.ordered_pair @t1 @t2)) % 38.23/38.44 (define @t6 () (tptp.empty @t1)) % 38.23/38.44 (define @t7 () (@list @t1)) % 38.23/38.44 (define @t8 () (@var "F" $$unsorted)) % 38.23/38.44 (define @t9 () (@var "E" $$unsorted)) % 38.23/38.44 (define @t10 () (tptp.ordered_pair @t9 @t8)) % 38.23/38.44 (define @t11 () (@var "D" $$unsorted)) % 38.23/38.44 (define @t12 () (= @t11 @t10)) % 38.23/38.44 (define @t13 () (@var "C" $$unsorted)) % 38.23/38.44 (define @t14 () (tptp.in @t8 @t13)) % 38.23/38.44 (define @t15 () (tptp.in @t9 @t2)) % 38.23/38.44 (define @t16 () (@list @t9 @t8)) % 38.23/38.44 (define @t17 () (forall @t16 (not (and @t15 @t14 @t12)))) % 38.23/38.44 (define @t18 () (tptp.in @t11 @t1)) % 38.23/38.44 (define @t19 () (tptp.subset @t1 (tptp.cartesian_product2 @t2 @t13))) % 38.23/38.44 (define @t20 () (and @t19 @t18 @t17)) % 38.23/38.44 (define @t21 () (not @t20)) % 38.23/38.44 (define @t22 () (@list @t1 @t2 @t13 @t11)) % 38.23/38.44 (define @t23 () (forall @t22 @t21)) % 38.23/38.44 (define @t24 () (= @t1 @t11)) % 38.23/38.44 (define @t25 () (@var "H" $$unsorted)) % 38.23/38.44 (define @t26 () (@var "G" $$unsorted)) % 38.23/38.44 (define @t27 () (tptp.ordered_pair @t26 @t25)) % 38.23/38.44 (define @t28 () (@list @t26 @t25)) % 38.23/38.44 (define @t29 () (forall @t28 (= (tptp.in @t27 @t1) (tptp.in @t27 @t11)))) % 38.23/38.44 (define @t30 () (tptp.subset @t11 (tptp.cartesian_product2 @t9 @t8))) % 38.23/38.44 (define @t31 () (and @t19 @t30 @t29)) % 38.23/38.44 (define @t32 () (@list @t1 @t2 @t13 @t11 @t9 @t8)) % 38.23/38.44 (define @t33 () (forall @t32 (=> @t31 @t24))) % 38.23/38.44 (define @t34 () (not @t33)) % 38.23/38.44 (define @t35 () (= @t1 @t2)) % 38.23/38.44 (define @t36 () (@list @t13)) % 38.23/38.44 (define @t37 () (forall @t36 (= (tptp.in @t13 @t1) (tptp.in @t13 @t2)))) % 38.23/38.44 (define @t38 () (forall @t3 (=> @t37 @t35))) % 38.23/38.44 (define @t39 () (not @t29)) % 38.23/38.44 (define @t40 () (not @t30)) % 38.23/38.44 (define @t41 () (not @t19)) % 38.23/38.44 (define @t42 () (or @t41 @t40 @t39 @t24)) % 38.23/38.44 (define @t43 () (or @t41 @t40 @t39)) % 38.23/38.44 (define @t44 () (forall @t32 @t42)) % 38.23/38.44 (define @t45 () (@quantifiers_skolemize @t44 3)) % 38.23/38.44 (define @t46 () (@quantifiers_skolemize @t44 0)) % 38.23/38.44 (define @t47 () (forall @t28 (= (tptp.in @t27 @t46) (tptp.in @t27 @t45)))) % 38.23/38.44 (define @t48 () (= @t46 @t45)) % 38.23/38.44 (define @t49 () (not @t47)) % 38.23/38.44 (define @t50 () (@quantifiers_skolemize @t44 5)) % 38.23/38.44 (define @t51 () (@quantifiers_skolemize @t44 4)) % 38.23/38.44 (define @t52 () (tptp.subset @t45 (tptp.cartesian_product2 @t51 @t50))) % 38.23/38.44 (define @t53 () (not @t52)) % 38.23/38.44 (define @t54 () (@quantifiers_skolemize @t44 2)) % 38.23/38.44 (define @t55 () (@quantifiers_skolemize @t44 1)) % 38.23/38.44 (define @t56 () (tptp.subset @t46 (tptp.cartesian_product2 @t55 @t54))) % 38.23/38.44 (define @t57 () (not @t56)) % 38.23/38.44 (define @t58 () (or @t57 @t53 @t49 @t48)) % 38.23/38.44 (define @t59 () (@list true)) % 38.23/38.44 (define @t60 () (@list @t58)) % 38.23/38.44 (define @t61 () (forall @t36 (= (tptp.in @t13 @t46) (tptp.in @t13 @t45)))) % 38.23/38.44 (define @t62 () (@quantifiers_skolemize @t61 0)) % 38.23/38.44 (define @t63 () (not (= @t10 @t62))) % 38.23/38.44 (define @t64 () (not (tptp.in @t8 @t50))) % 38.23/38.44 (define @t65 () (not (tptp.in @t9 @t51))) % 38.23/38.44 (define @t66 () (forall @t16 (or @t65 @t64 @t63))) % 38.23/38.44 (define @t67 () (@quantifiers_skolemize @t66 1)) % 38.23/38.44 (define @t68 () (@quantifiers_skolemize @t66 0)) % 38.23/38.44 (define @t69 () (not @t12)) % 38.23/38.44 (define @t70 () (not @t14)) % 38.23/38.44 (define @t71 () (not @t15)) % 38.23/38.44 (define @t72 () (or @t71 @t70 @t69)) % 38.23/38.44 (define @t73 () (forall @t16 @t72)) % 38.23/38.44 (define @t74 () (not @t73)) % 38.23/38.44 (define @t75 () (not @t18)) % 38.23/38.44 (define @t76 () (or @t41 @t75 @t74)) % 38.23/38.44 (define @t77 () (not (= @t62 @t10))) % 38.23/38.44 (define @t78 () (or @t65 @t64 @t77)) % 38.23/38.44 (define @t79 () (forall @t16 @t78)) % 38.23/38.44 (define @t80 () (not @t79)) % 38.23/38.44 (define @t81 () (tptp.in @t62 @t45)) % 38.23/38.44 (define @t82 () (not @t81)) % 38.23/38.44 (define @t83 () (or @t53 @t82 @t80)) % 38.23/38.44 (define @t84 () (forall @t22 @t76)) % 38.23/38.44 (define @t85 () (not @t66)) % 38.23/38.44 (define @t86 () (or @t53 @t82 @t85)) % 38.23/38.44 (define @t87 () (@list false)) % 38.23/38.44 (define @t88 () (@list @t84)) % 38.23/38.44 (define @t89 () (not @t61)) % 38.23/38.44 (define @t90 () (or @t89 @t48)) % 38.23/38.44 (define @t91 () (@list true false)) % 38.23/38.44 (define @t92 () (tptp.in @t62 @t46)) % 38.23/38.44 (define @t93 () (= @t92 @t81)) % 38.23/38.44 (define @t94 () (not (tptp.in @t8 @t54))) % 38.23/38.44 (define @t95 () (not (tptp.in @t9 @t55))) % 38.23/38.44 (define @t96 () (or @t95 @t94 @t77)) % 38.23/38.44 (define @t97 () (forall @t16 @t96)) % 38.23/38.44 (define @t98 () (not @t97)) % 38.23/38.44 (define @t99 () (not @t92)) % 38.23/38.44 (define @t100 () (or @t57 @t99 @t98)) % 38.23/38.44 (define @t101 () (forall @t16 (or @t95 @t94 @t63))) % 38.23/38.44 (define @t102 () (not @t101)) % 38.23/38.44 (define @t103 () (or @t57 @t99 @t102)) % 38.23/38.44 (define @t104 () (@quantifiers_skolemize @t101 1)) % 38.23/38.44 (define @t105 () (@quantifiers_skolemize @t101 0)) % 38.23/38.44 (define @t106 () (tptp.ordered_pair @t105 @t104)) % 38.23/38.44 (define @t107 () (= @t62 @t106)) % 38.23/38.44 (define @t108 () (not @t107)) % 38.23/38.44 (define @t109 () (not (tptp.in @t104 @t54))) % 38.23/38.44 (define @t110 () (not (tptp.in @t105 @t55))) % 38.23/38.44 (define @t111 () (or @t110 @t109 @t108)) % 38.23/38.44 (define @t112 () (not @t111)) % 38.23/38.44 (define @t113 () (not (= @t106 @t62))) % 38.23/38.44 (define @t114 () (or @t110 @t109 @t113)) % 38.23/38.44 (define @t115 () (not @t114)) % 38.23/38.44 (define @t116 () (tptp.in @t106 @t45)) % 38.23/38.44 (define @t117 () (not @t116)) % 38.23/38.44 (define @t118 () (and @t82 @t107)) % 38.23/38.44 (define @t119 () (tptp.in @t106 @t46)) % 38.23/38.44 (define @t120 () (and @t92 @t107)) % 38.23/38.44 (define @t121 () (= @t119 @t116)) % 38.23/38.44 (define @t122 () (tptp.ordered_pair @t68 @t67)) % 38.23/38.44 (define @t123 () (= @t62 @t122)) % 38.23/38.44 (define @t124 () (not @t123)) % 38.23/38.44 (define @t125 () (not (tptp.in @t67 @t50))) % 38.23/38.44 (define @t126 () (not (tptp.in @t68 @t51))) % 38.23/38.44 (define @t127 () (or @t126 @t125 @t124)) % 38.23/38.44 (define @t128 () (not @t127)) % 38.23/38.44 (define @t129 () (not (= @t122 @t62))) % 38.23/38.44 (define @t130 () (or @t126 @t125 @t129)) % 38.23/38.44 (define @t131 () (not @t130)) % 38.23/38.44 (define @t132 () (tptp.in @t122 @t45)) % 38.23/38.44 (define @t133 () (and @t81 @t123)) % 38.23/38.44 (define @t134 () (tptp.in @t122 @t46)) % 38.23/38.44 (define @t135 () (not @t134)) % 38.23/38.44 (define @t136 () (and @t99 @t123)) % 38.23/38.44 (define @t137 () (= @t134 @t132)) % 38.23/38.44 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 38.23/38.44 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 38.23/38.44 (assume @p3 (forall @t3 (= @t5 (tptp.unordered_pair @t4 (tptp.singleton @t1))))) % 38.23/38.44 (assume @p4 (forall @t3 (not (tptp.empty @t5)))) % 38.23/38.44 (assume @p5 (exists @t7 @t6)) % 38.23/38.44 (assume @p6 (exists @t7 (not @t6))) % 38.23/38.44 (assume @p7 (forall @t3 (tptp.subset @t1 @t1))) % 38.23/38.44 (assume @p8 @t23) % 38.23/38.44 (assume @p9 @t34) % 38.23/38.44 (assume @p10 @t38) % 38.23/38.44 (assume @p11 true) % 38.23/38.44 (step @p12 :rule aci_norm :args ((= (or @t43 @t24) @t42))) % 38.23/38.44 (step @p13 :rule refl :args (@t24)) % 38.23/38.44 (step @p14 :rule aci_norm :args ((= (or @t41 (or @t40 @t39)) @t43))) % 38.23/38.44 (step @p15 :rule bool-and-de-morgan :args (@t30 @t29 true)) % 38.23/38.44 (step @p16 :rule refl :args (@t41)) % 38.23/38.44 (step @p17 :rule nary_cong :premises (@p16 @p15) :args ((or @t41 (not (and @t30 @t29))))) % 38.23/38.44 (step @p18 :rule bool-and-de-morgan :args (@t19 @t30 (and @t29))) % 38.23/38.44 (step @p19 :rule trans :premises (@p18 @p17)) % 38.23/38.44 (step @p20 :rule trans :premises (@p19 @p14)) % 38.23/38.44 (step @p21 :rule nary_cong :premises (@p20 @p13) :args ((or (not @t31) @t24))) % 38.23/38.44 (step @p22 :rule trans :premises (@p21 @p12)) % 38.23/38.44 (step @p23 :rule bool-impl-elim :args (@t31 @t24)) % 38.23/38.44 (step @p24 :rule trans :premises (@p23 @p22)) % 38.23/38.44 (step @p25 :rule cong :premises (@p24) :args (@t33)) % 38.23/38.44 (step @p26 :rule cong :premises (@p25) :args (@t34)) % 38.23/38.44 (step @p27 :rule eq_resolve :premises (@p9 @p26)) % 38.23/38.44 (step @p28 :rule skolemize :premises (@p27)) % 38.23/38.44 (step @p29 :rule bool-double-not-elim :args (@t47)) % 38.23/38.44 (step @p30 :rule refl :args (@t58)) % 38.23/38.44 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t58 (not @t49)))) % 38.23/38.44 (step @p32 :rule cnf_or_neg :args (@t58 2)) % 38.23/38.44 (step @p33 :rule eq_resolve :premises (@p32 @p31)) % 38.23/38.44 (step @p34 :rule reordering :premises (@p33) :args ((or @t47 @t58))) % 38.23/38.44 (step @p35 :rule chain_m_resolution :premises (@p34 @p28) :args (@t47 @t59 @t60)) % 38.23/38.44 (step @p36 :rule instantiate :premises (@p35) :args ((@list @t68 @t67))) % 38.23/38.44 (step @p37 :rule aci_norm :args ((= (or @t41 (or @t75 @t74)) @t76))) % 38.23/38.44 (step @p38 :rule bool-and-de-morgan :args (@t18 @t73 true)) % 38.23/38.44 (step @p39 :rule nary_cong :premises (@p16 @p38) :args ((or @t41 (not (and @t18 @t73))))) % 38.23/38.44 (step @p40 :rule bool-and-de-morgan :args (@t19 @t18 (and @t73))) % 38.23/38.44 (step @p41 :rule trans :premises (@p40 @p39)) % 38.23/38.44 (step @p42 :rule trans :premises (@p41 @p37)) % 38.23/38.44 (step @p43 :rule cong :premises (@p42) :args ((forall @t22 (not (and @t19 @t18 @t73))))) % 38.23/38.44 (step @p44 :rule aci_norm :args ((= (or @t71 (or @t70 @t69)) @t72))) % 38.23/38.44 (step @p45 :rule bool-and-de-morgan :args (@t14 @t12 true)) % 38.23/38.44 (step @p46 :rule refl :args (@t71)) % 38.23/38.44 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t71 (not (and @t14 @t12))))) % 38.23/38.44 (step @p48 :rule bool-and-de-morgan :args (@t15 @t14 (and @t12))) % 38.23/38.44 (step @p49 :rule trans :premises (@p48 @p47)) % 38.23/38.44 (step @p50 :rule trans :premises (@p49 @p44)) % 38.23/38.44 (step @p51 :rule cong :premises (@p50) :args (@t17)) % 38.23/38.44 (step @p52 :rule refl :args (@t18)) % 38.23/38.44 (step @p53 :rule refl :args (@t19)) % 38.23/38.44 (step @p54 :rule nary_cong :premises (@p53 @p52 @p51) :args (@t20)) % 38.23/38.44 (step @p55 :rule cong :premises (@p54) :args (@t21)) % 38.23/38.44 (step @p56 :rule cong :premises (@p55) :args (@t23)) % 38.23/38.44 (step @p57 :rule trans :premises (@p56 @p43)) % 38.23/38.44 (step @p58 :rule eq_resolve :premises (@p8 @p57)) % 38.23/38.44 (step @p59 :rule eq-symm :args (@t62 @t10)) % 38.23/38.44 (step @p60 :rule cong :premises (@p59) :args (@t77)) % 38.23/38.44 (step @p61 :rule refl :args (@t64)) % 38.23/38.44 (step @p62 :rule refl :args (@t65)) % 38.23/38.44 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60) :args (@t78)) % 38.23/38.44 (step @p64 :rule cong :premises (@p63) :args (@t79)) % 38.23/38.44 (step @p65 :rule cong :premises (@p64) :args (@t80)) % 38.23/38.44 (step @p66 :rule refl :args (@t82)) % 38.23/38.44 (step @p67 :rule refl :args (@t53)) % 38.23/38.44 (step @p68 :rule nary_cong :premises (@p67 @p66 @p65) :args (@t83)) % 38.23/38.44 (step @p69 :rule refl :args (@t84)) % 38.23/38.44 (step @p70 :rule cong :premises (@p69 @p68) :args ((=> @t84 @t83))) % 38.23/38.44 (assume-push @p276 @t84) % 38.23/38.44 (step @p72 :rule instantiate :premises (@p58) :args ((@list @t45 @t51 @t50 @t62))) % 38.23/38.44 (step-pop @p277 :rule scope :premises (@p72)) % 38.23/38.44 (step @p73 :rule process_scope :premises (@p277) :args (@t83)) % 38.23/38.44 (step @p75 :rule eq_resolve :premises (@p73 @p70)) % 38.23/38.44 (step @p76 :rule implies_elim :premises (@p75)) % 38.23/38.44 (step @p77 :rule chain_m_resolution :premises (@p76 @p58) :args (@t86 @t87 @t88)) % 38.23/38.44 (step @p78 :rule bool-impl-elim :args (@t37 @t35)) % 38.23/38.44 (step @p79 :rule cong :premises (@p78) :args (@t38)) % 38.23/38.44 (step @p80 :rule eq_resolve :premises (@p10 @p79)) % 38.23/38.44 (step @p81 :rule instantiate :premises (@p80) :args ((@list @t46 @t45))) % 38.23/38.44 (step @p82 :rule cnf_or_neg :args (@t58 3)) % 38.23/38.44 (step @p83 :rule chain_m_resolution :premises (@p82 @p28) :args ((not @t48) @t59 @t60)) % 38.23/38.44 (step @p84 :rule cnf_or_pos :args (@t90)) % 38.23/38.44 (step @p85 :rule reordering :premises (@p84) :args ((or @t48 @t89 (not @t90)))) % 38.23/38.44 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p81) :args (@t89 @t91 (@list @t48 @t90))) % 38.23/38.44 (step @p87 :rule skolemize :premises (@p86)) % 38.23/38.44 (step @p88 :rule cnf_equiv_neg2 :args (@t93)) % 38.23/38.44 (step @p89 :rule bool-double-not-elim :args (@t56)) % 38.23/38.44 (step @p90 :rule nary_cong :premises (@p30 @p89) :args ((or @t58 (not @t57)))) % 38.23/38.44 (step @p91 :rule cnf_or_neg :args (@t58 0)) % 38.23/38.44 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 38.23/38.44 (step @p93 :rule reordering :premises (@p92) :args ((or @t56 @t58))) % 38.23/38.44 (step @p94 :rule chain_m_resolution :premises (@p93 @p28) :args (@t56 @t59 @t60)) % 38.23/38.44 (step @p95 :rule refl :args (@t94)) % 38.23/38.44 (step @p96 :rule refl :args (@t95)) % 38.23/38.44 (step @p97 :rule nary_cong :premises (@p96 @p95 @p60) :args (@t96)) % 38.23/38.44 (step @p98 :rule cong :premises (@p97) :args (@t97)) % 38.23/38.44 (step @p99 :rule cong :premises (@p98) :args (@t98)) % 38.23/38.44 (step @p100 :rule refl :args (@t99)) % 38.23/38.44 (step @p101 :rule refl :args (@t57)) % 38.23/38.44 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99) :args (@t100)) % 38.23/38.44 (step @p103 :rule cong :premises (@p69 @p102) :args ((=> @t84 @t100))) % 38.23/38.44 (assume-push @p278 @t84) % 38.23/38.44 (step @p105 :rule instantiate :premises (@p58) :args ((@list @t46 @t55 @t54 @t62))) % 38.23/38.44 (step-pop @p279 :rule scope :premises (@p105)) % 38.23/38.44 (step @p106 :rule process_scope :premises (@p279) :args (@t100)) % 38.23/38.44 (step @p108 :rule eq_resolve :premises (@p106 @p103)) % 38.23/38.44 (step @p109 :rule implies_elim :premises (@p108)) % 38.23/38.44 (step @p110 :rule chain_m_resolution :premises (@p109 @p58) :args (@t103 @t87 @t88)) % 38.23/38.44 (step @p111 :rule cnf_or_pos :args (@t103)) % 38.23/38.44 (step @p112 :rule reordering :premises (@p111) :args ((or @t57 @t99 @t102 (not @t103)))) % 38.23/38.44 (step @p113 :rule refl :args (@t112)) % 38.23/38.44 (step @p114 :rule bool-double-not-elim :args (@t101)) % 38.23/38.44 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or (not @t102) @t112))) % 38.23/38.44 (step @p116 :rule eq-symm :args (@t106 @t62)) % 38.23/38.44 (step @p117 :rule cong :premises (@p116) :args (@t113)) % 38.23/38.44 (step @p118 :rule refl :args (@t109)) % 38.23/38.44 (step @p119 :rule refl :args (@t110)) % 38.23/38.44 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args (@t114)) % 38.23/38.44 (step @p121 :rule cong :premises (@p120) :args (@t115)) % 38.23/38.44 (step @p122 :rule refl :args (@t102)) % 38.23/38.44 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t102 @t115))) % 38.23/38.44 (assume-push @p280 @t102) % 38.23/38.44 (step @p125 :rule skolemize :premises (@p280)) % 38.23/38.44 (step-pop @p281 :rule scope :premises (@p125)) % 38.23/38.44 (step @p126 :rule process_scope :premises (@p281) :args (@t115)) % 38.23/38.44 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 38.23/38.44 (step @p129 :rule implies_elim :premises (@p128)) % 38.23/38.44 (step @p130 :rule eq_resolve :premises (@p129 @p115)) % 38.23/38.44 (step @p131 :rule bool-double-not-elim :args (@t107)) % 38.23/38.44 (step @p132 :rule refl :args (@t111)) % 38.23/38.44 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or @t111 (not @t108)))) % 38.23/38.44 (step @p134 :rule cnf_or_neg :args (@t111 2)) % 38.23/38.44 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 38.23/38.44 (step @p136 :rule reordering :premises (@p135) :args ((or @t107 @t111))) % 38.23/38.44 (step @p137 :rule refl :args (@t117)) % 38.23/38.44 (step @p138 :rule refl :args (@t108)) % 38.23/38.44 (step @p139 :rule bool-double-not-elim :args (@t81)) % 38.23/38.44 (step @p140 :rule nary_cong :premises (@p139 @p138 @p137) :args ((or (not @t82) @t108 @t117))) % 38.23/38.44 (assume-push @p282 @t82) % 38.23/38.44 (assume-push @p283 @t107) % 38.23/38.44 (assume-push @p284 @t82) % 38.23/38.44 (assume-push @p285 @t107) % 38.23/38.44 (step @p145 :rule false_intro :premises (@p282)) % 38.23/38.44 (step @p146 :rule refl :args (@t45)) % 38.23/38.44 (step @p147 :rule symm :premises (@p283)) % 38.23/38.44 (step @p148 :rule cong :premises (@p147 @p146) :args (@t116)) % 38.23/38.44 (step @p149 :rule trans :premises (@p148 @p145)) % 38.23/38.44 (step @p150 :rule false_elim :premises (@p149)) % 38.23/38.44 (step-pop @p286 :rule scope :premises (@p150)) % 38.23/38.44 (step-pop @p287 :rule scope :premises (@p286)) % 38.23/38.44 (step @p151 :rule process_scope :premises (@p287) :args (@t117)) % 38.23/38.44 (step @p154 :rule and_intro :premises (@p282 @p283)) % 38.23/38.44 (step @p155 :rule modus_ponens :premises (@p154 @p151)) % 38.23/38.44 (step-pop @p288 :rule scope :premises (@p155)) % 38.23/38.44 (step-pop @p289 :rule scope :premises (@p288)) % 38.23/38.44 (step @p156 :rule process_scope :premises (@p289) :args (@t117)) % 38.23/38.44 (step @p159 :rule implies_elim :premises (@p156)) % 38.23/38.44 (step @p160 :rule cnf_and_neg :args (@t118)) % 38.23/38.44 (step @p161 :rule resolution :premises (@p160 @p159) :args (true @t118)) % 38.23/38.44 (step @p162 :rule eq_resolve :premises (@p161 @p140)) % 38.23/38.44 (assume-push @p290 @t92) % 38.23/38.44 (assume-push @p291 @t107) % 38.23/38.44 (assume-push @p292 @t92) % 38.23/38.44 (assume-push @p293 @t107) % 38.23/38.44 (step @p167 :rule true_intro :premises (@p290)) % 38.23/38.44 (step @p168 :rule refl :args (@t46)) % 38.23/38.44 (step @p169 :rule symm :premises (@p291)) % 38.23/38.44 (step @p170 :rule cong :premises (@p169 @p168) :args (@t119)) % 38.23/38.44 (step @p171 :rule trans :premises (@p170 @p167)) % 38.23/38.44 (step @p172 :rule true_elim :premises (@p171)) % 38.23/38.44 (step-pop @p294 :rule scope :premises (@p172)) % 38.23/38.44 (step-pop @p295 :rule scope :premises (@p294)) % 38.23/38.44 (step @p173 :rule process_scope :premises (@p295) :args (@t119)) % 38.23/38.44 (step @p176 :rule and_intro :premises (@p290 @p291)) % 38.23/38.44 (step @p177 :rule modus_ponens :premises (@p176 @p173)) % 38.23/38.44 (step-pop @p296 :rule scope :premises (@p177)) % 38.23/38.44 (step-pop @p297 :rule scope :premises (@p296)) % 38.23/38.44 (step @p178 :rule process_scope :premises (@p297) :args (@t119)) % 38.23/38.44 (step @p181 :rule implies_elim :premises (@p178)) % 38.23/38.44 (step @p182 :rule cnf_and_neg :args (@t120)) % 38.23/38.44 (step @p183 :rule resolution :premises (@p182 @p181) :args (true @t120)) % 38.23/38.44 (step @p184 :rule instantiate :premises (@p35) :args ((@list @t105 @t104))) % 38.23/38.44 (step @p185 :rule cnf_equiv_pos1 :args (@t121)) % 38.23/38.44 (step @p186 :rule reordering :premises (@p185) :args ((or @t116 (not @t119) (not @t121)))) % 38.23/38.44 (step @p187 :rule chain_m_resolution :premises (@p186 @p184 @p183 @p162 @p136 @p130 @p112 @p110 @p94 @p88 @p87) :args (@t99 (@list false false true false true true false false true true) (@list @t121 @t119 @t116 @t107 @t111 @t101 @t103 @t56 @t81 @t93))) % 38.23/38.44 (step @p188 :rule cnf_equiv_neg1 :args (@t93)) % 38.23/38.44 (step @p189 :rule reordering :premises (@p188) :args ((or @t92 @t81 @t93))) % 38.23/38.44 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p87) :args (@t81 (@list true true) (@list @t92 @t93))) % 38.23/38.44 (step @p191 :rule bool-double-not-elim :args (@t52)) % 38.23/38.44 (step @p192 :rule nary_cong :premises (@p30 @p191) :args ((or @t58 (not @t53)))) % 38.23/38.44 (step @p193 :rule cnf_or_neg :args (@t58 1)) % 38.23/38.44 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 38.23/38.44 (step @p195 :rule reordering :premises (@p194) :args ((or @t52 @t58))) % 38.23/38.44 (step @p196 :rule chain_m_resolution :premises (@p195 @p28) :args (@t52 @t59 @t60)) % 38.23/38.44 (step @p197 :rule cnf_or_pos :args (@t86)) % 38.23/38.44 (step @p198 :rule reordering :premises (@p197) :args ((or @t53 @t82 @t85 (not @t86)))) % 38.23/38.44 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p190 @p77) :args (@t85 (@list false false false) (@list @t52 @t81 @t86))) % 38.23/38.44 (step @p200 :rule refl :args (@t128)) % 38.23/38.44 (step @p201 :rule bool-double-not-elim :args (@t66)) % 38.23/38.44 (step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or (not @t85) @t128))) % 38.23/38.44 (step @p203 :rule eq-symm :args (@t122 @t62)) % 38.23/38.44 (step @p204 :rule cong :premises (@p203) :args (@t129)) % 38.23/38.44 (step @p205 :rule refl :args (@t125)) % 38.23/38.44 (step @p206 :rule refl :args (@t126)) % 38.23/38.44 (step @p207 :rule nary_cong :premises (@p206 @p205 @p204) :args (@t130)) % 38.23/38.44 (step @p208 :rule cong :premises (@p207) :args (@t131)) % 38.23/38.44 (step @p209 :rule refl :args (@t85)) % 38.23/38.44 (step @p210 :rule cong :premises (@p209 @p208) :args ((=> @t85 @t131))) % 38.23/38.44 (assume-push @p298 @t85) % 38.23/38.44 (step @p212 :rule skolemize :premises (@p298)) % 38.23/38.44 (step-pop @p299 :rule scope :premises (@p212)) % 38.23/38.44 (step @p213 :rule process_scope :premises (@p299) :args (@t131)) % 38.23/38.44 (step @p215 :rule eq_resolve :premises (@p213 @p210)) % 38.23/38.44 (step @p216 :rule implies_elim :premises (@p215)) % 38.23/38.44 (step @p217 :rule eq_resolve :premises (@p216 @p202)) % 38.23/38.44 (step @p218 :rule chain_m_resolution :premises (@p217 @p199) :args (@t128 @t59 (@list @t66))) % 38.23/38.44 (step @p219 :rule bool-double-not-elim :args (@t123)) % 38.23/38.44 (step @p220 :rule refl :args (@t127)) % 38.23/38.44 (step @p221 :rule nary_cong :premises (@p220 @p219) :args ((or @t127 (not @t124)))) % 38.23/38.44 (step @p222 :rule cnf_or_neg :args (@t127 2)) % 38.23/38.44 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 38.23/38.44 (step @p224 :rule reordering :premises (@p223) :args ((or @t123 @t127))) % 38.23/38.44 (step @p225 :rule chain_m_resolution :premises (@p224 @p218) :args (@t123 @t59 (@list @t127))) % 38.23/38.44 (assume-push @p300 @t81) % 38.23/38.44 (assume-push @p301 @t123) % 38.23/38.44 (assume-push @p302 @t81) % 38.23/38.44 (assume-push @p303 @t123) % 38.23/38.44 (step @p230 :rule true_intro :premises (@p300)) % 38.23/38.44 (step @p146 :rule refl :args (@t45)) % 38.23/38.44 (step @p231 :rule symm :premises (@p301)) % 38.23/38.44 (step @p232 :rule cong :premises (@p231 @p146) :args (@t132)) % 38.23/38.44 (step @p233 :rule trans :premises (@p232 @p230)) % 38.23/38.44 (step @p234 :rule true_elim :premises (@p233)) % 38.23/38.44 (step-pop @p304 :rule scope :premises (@p234)) % 38.23/38.44 (step-pop @p305 :rule scope :premises (@p304)) % 38.23/38.44 (step @p235 :rule process_scope :premises (@p305) :args (@t132)) % 38.23/38.44 (step @p238 :rule and_intro :premises (@p300 @p301)) % 38.23/38.44 (step @p239 :rule modus_ponens :premises (@p238 @p235)) % 38.23/38.44 (step-pop @p306 :rule scope :premises (@p239)) % 38.23/38.44 (step-pop @p307 :rule scope :premises (@p306)) % 38.23/38.44 (step @p240 :rule process_scope :premises (@p307) :args (@t132)) % 38.23/38.44 (step @p243 :rule implies_elim :premises (@p240)) % 38.23/38.44 (step @p244 :rule cnf_and_neg :args (@t133)) % 38.23/38.44 (step @p245 :rule resolution :premises (@p244 @p243) :args (true @t133)) % 38.23/38.44 (step @p246 :rule chain_m_resolution :premises (@p245 @p190 @p225) :args (@t132 (@list false false) (@list @t81 @t123))) % 38.23/38.44 (step @p247 :rule refl :args (@t135)) % 38.23/38.44 (step @p248 :rule refl :args (@t124)) % 38.23/38.44 (step @p249 :rule bool-double-not-elim :args (@t92)) % 38.23/38.44 (step @p250 :rule nary_cong :premises (@p249 @p248 @p247) :args ((or (not @t99) @t124 @t135))) % 38.23/38.44 (assume-push @p308 @t99) % 38.23/38.44 (assume-push @p309 @t123) % 38.23/38.44 (assume-push @p310 @t99) % 38.23/38.44 (assume-push @p311 @t123) % 38.23/38.44 (step @p255 :rule false_intro :premises (@p308)) % 38.23/38.44 (step @p168 :rule refl :args (@t46)) % 38.23/38.44 (step @p256 :rule symm :premises (@p309)) % 38.23/38.44 (step @p257 :rule cong :premises (@p256 @p168) :args (@t134)) % 38.23/38.44 (step @p258 :rule trans :premises (@p257 @p255)) % 38.23/38.44 (step @p259 :rule false_elim :premises (@p258)) % 38.23/38.44 (step-pop @p312 :rule scope :premises (@p259)) % 38.23/38.44 (step-pop @p313 :rule scope :premises (@p312)) % 38.23/38.44 (step @p260 :rule process_scope :premises (@p313) :args (@t135)) % 38.23/38.44 (step @p263 :rule and_intro :premises (@p308 @p309)) % 38.23/38.44 (step @p264 :rule modus_ponens :premises (@p263 @p260)) % 38.23/38.44 (step-pop @p314 :rule scope :premises (@p264)) % 38.23/38.44 (step-pop @p315 :rule scope :premises (@p314)) % 38.23/38.44 (step @p265 :rule process_scope :premises (@p315) :args (@t135)) % 38.23/38.44 (step @p268 :rule implies_elim :premises (@p265)) % 38.23/38.44 (step @p269 :rule cnf_and_neg :args (@t136)) % 38.23/38.44 (step @p270 :rule resolution :premises (@p269 @p268) :args (true @t136)) % 38.23/38.44 (step @p271 :rule eq_resolve :premises (@p270 @p250)) % 38.23/38.44 (step @p272 :rule chain_m_resolution :premises (@p271 @p187 @p225) :args (@t135 @t91 (@list @t92 @t123))) % 38.23/38.44 (step @p273 :rule cnf_equiv_pos2 :args (@t137)) % 38.23/38.44 (step @p274 :rule reordering :premises (@p273) :args ((or @t134 (not @t132) (not @t137)))) % 38.23/38.44 (step @p275 false :rule chain_m_resolution :premises (@p274 @p272 @p246 @p36) :args (false (@list true false false) (@list @t134 @t132 @t137))) % 38.23/38.44 ) % 38.23/38.44 % SZS output end Proof % 38.23/38.44 % cvc5 exiting %------------------------------------------------------------------------------