%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM012+3 : TPTP v9.2.1. Released 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 : n007.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 08:10:24 AM UTC 2026 % Result : Theorem 0.36s 0.61s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : COM012+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n007.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 : Mon Jun 1 20:27:26 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.61 % SZS status Theorem % 0.36/0.61 % SZS output start Proof % 0.36/0.61 ( % 0.36/0.61 (declare-sort $$unsorted 0) % 0.36/0.61 (declare-const tptp.xx $$unsorted) % 0.36/0.61 (declare-const tptp.xR $$unsorted) % 0.36/0.61 (declare-const tptp.xy $$unsorted) % 0.36/0.61 (declare-const tptp.xz $$unsorted) % 0.36/0.61 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.aReductOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.sdtmndtasgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.sdtmndtplgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.aRewritingSystem0 (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.36/0.61 (define @t1 () (@var "W0" $$unsorted)) % 0.36/0.61 (define @t2 () (tptp.aElement0 @t1)) % 0.36/0.61 (define @t3 () (@list @t1)) % 0.36/0.61 (define @t4 () (@var "W2" $$unsorted)) % 0.36/0.61 (define @t5 () (tptp.aElement0 @t4)) % 0.36/0.61 (define @t6 () (@var "W1" $$unsorted)) % 0.36/0.61 (define @t7 () (tptp.aReductOfIn0 @t4 @t1 @t6)) % 0.36/0.61 (define @t8 () (tptp.aRewritingSystem0 @t6)) % 0.36/0.61 (define @t9 () (@list @t1 @t6)) % 0.36/0.61 (define @t10 () (tptp.sdtmndtplgtdt0 @t1 @t6 @t4)) % 0.36/0.61 (define @t11 () (and @t2 @t8 @t5)) % 0.36/0.61 (define @t12 () (@list @t1 @t6 @t4)) % 0.36/0.61 (define @t13 () (@var "W3" $$unsorted)) % 0.36/0.61 (define @t14 () (tptp.aElement0 @t13)) % 0.36/0.61 (define @t15 () (tptp.sdtmndtplgtdt0 @t1 @t6 @t13)) % 0.36/0.61 (define @t16 () (tptp.sdtmndtplgtdt0 @t4 @t6 @t13)) % 0.36/0.61 (define @t17 () (and @t10 @t16)) % 0.36/0.61 (define @t18 () (=> @t17 @t15)) % 0.36/0.61 (define @t19 () (and @t2 @t8 @t5 @t14)) % 0.36/0.61 (define @t20 () (forall (@list @t1 @t6 @t4 @t13) (=> @t19 @t18))) % 0.36/0.61 (define @t21 () (tptp.aElement0 tptp.xz)) % 0.36/0.61 (define @t22 () (tptp.aElement0 tptp.xy)) % 0.36/0.61 (define @t23 () (tptp.aRewritingSystem0 tptp.xR)) % 0.36/0.61 (define @t24 () (tptp.aElement0 tptp.xx)) % 0.36/0.61 (define @t25 () (tptp.sdtmndtasgtdt0 tptp.xx tptp.xR tptp.xz)) % 0.36/0.61 (define @t26 () (tptp.sdtmndtplgtdt0 tptp.xx tptp.xR tptp.xz)) % 0.36/0.61 (define @t27 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR tptp.xz)) % 0.36/0.61 (define @t28 () (tptp.aReductOfIn0 @t1 tptp.xx tptp.xR)) % 0.36/0.61 (define @t29 () (and @t2 @t28 @t27)) % 0.36/0.61 (define @t30 () (exists @t3 @t29)) % 0.36/0.61 (define @t31 () (tptp.aReductOfIn0 tptp.xz tptp.xx tptp.xR)) % 0.36/0.61 (define @t32 () (= tptp.xx tptp.xz)) % 0.36/0.61 (define @t33 () (or @t32 @t31 @t30 @t26 @t25)) % 0.36/0.61 (define @t34 () (tptp.sdtmndtasgtdt0 tptp.xy tptp.xR tptp.xz)) % 0.36/0.61 (define @t35 () (tptp.sdtmndtplgtdt0 tptp.xy tptp.xR tptp.xz)) % 0.36/0.61 (define @t36 () (tptp.aReductOfIn0 @t1 tptp.xy tptp.xR)) % 0.36/0.61 (define @t37 () (and @t2 @t36 @t27)) % 0.36/0.61 (define @t38 () (exists @t3 @t37)) % 0.36/0.61 (define @t39 () (tptp.aReductOfIn0 tptp.xz tptp.xy tptp.xR)) % 0.36/0.61 (define @t40 () (or @t39 @t38)) % 0.36/0.61 (define @t41 () (and @t40 @t35)) % 0.36/0.61 (define @t42 () (= tptp.xy tptp.xz)) % 0.36/0.61 (define @t43 () (or @t42 @t41)) % 0.36/0.61 (define @t44 () (tptp.sdtmndtasgtdt0 tptp.xx tptp.xR tptp.xy)) % 0.36/0.61 (define @t45 () (tptp.sdtmndtplgtdt0 tptp.xx tptp.xR tptp.xy)) % 0.36/0.61 (define @t46 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR tptp.xy)) % 0.36/0.61 (define @t47 () (and @t2 @t28 @t46)) % 0.36/0.61 (define @t48 () (exists @t3 @t47)) % 0.36/0.61 (define @t49 () (tptp.aReductOfIn0 tptp.xy tptp.xx tptp.xR)) % 0.36/0.61 (define @t50 () (or @t49 @t48)) % 0.36/0.61 (define @t51 () (and @t50 @t45)) % 0.36/0.61 (define @t52 () (= tptp.xx tptp.xy)) % 0.36/0.61 (define @t53 () (or @t52 @t51)) % 0.36/0.61 (define @t54 () (and @t53 @t44 @t43 @t34)) % 0.36/0.61 (define @t55 () (=> @t54 @t33)) % 0.36/0.61 (define @t56 () (not @t55)) % 0.36/0.61 (define @t57 () (not @t27)) % 0.36/0.61 (define @t58 () (not @t28)) % 0.36/0.61 (define @t59 () (not @t2)) % 0.36/0.61 (define @t60 () (forall @t3 (not @t29))) % 0.36/0.61 (define @t61 () (not @t60)) % 0.36/0.61 (define @t62 () (not @t36)) % 0.36/0.61 (define @t63 () (or @t59 @t62 @t57)) % 0.36/0.61 (define @t64 () (forall @t3 (not @t37))) % 0.36/0.61 (define @t65 () (not @t64)) % 0.36/0.61 (define @t66 () (not @t46)) % 0.36/0.61 (define @t67 () (or @t59 @t58 @t66)) % 0.36/0.61 (define @t68 () (forall @t3 (not @t47))) % 0.36/0.61 (define @t69 () (not @t68)) % 0.36/0.61 (define @t70 () (not @t42)) % 0.36/0.61 (define @t71 () (not @t44)) % 0.36/0.61 (define @t72 () (not @t25)) % 0.36/0.61 (define @t73 () (and (or @t39 (not (forall @t3 @t63))) @t35)) % 0.36/0.61 (define @t74 () (@list true)) % 0.36/0.61 (define @t75 () (not @t16)) % 0.36/0.61 (define @t76 () (not @t10)) % 0.36/0.61 (define @t77 () (not @t14)) % 0.36/0.61 (define @t78 () (not @t5)) % 0.36/0.61 (define @t79 () (not @t8)) % 0.36/0.61 (define @t80 () (or @t76 @t75 @t15)) % 0.36/0.61 (define @t81 () (or @t59 @t79 @t78 @t77)) % 0.36/0.61 (define @t82 () (not @t35)) % 0.36/0.61 (define @t83 () (not @t45)) % 0.36/0.61 (define @t84 () (not @t21)) % 0.36/0.61 (define @t85 () (not @t22)) % 0.36/0.61 (define @t86 () (not @t23)) % 0.36/0.61 (define @t87 () (not @t24)) % 0.36/0.61 (define @t88 () (or @t87 @t86 @t85 @t84 @t83 @t82 @t26)) % 0.36/0.61 (define @t89 () (and (or @t49 (not (forall @t3 @t67))) @t45)) % 0.36/0.61 (define @t90 () (not @t89)) % 0.36/0.61 (define @t91 () (not @t52)) % 0.36/0.61 (define @t92 () (not @t26)) % 0.36/0.61 (define @t93 () (and @t92 @t52 @t35)) % 0.36/0.61 (assume @p1 (forall @t3 (=> @t2 true))) % 0.36/0.61 (assume @p2 (forall @t3 (=> (tptp.aRewritingSystem0 @t1) true))) % 0.36/0.61 (assume @p3 (forall @t9 (=> (and @t2 @t8) (forall (@list @t4) (=> @t7 @t5))))) % 0.36/0.61 (assume @p4 (forall @t9 (=> (and @t2 (tptp.aElement0 @t6)) (=> (tptp.iLess0 @t1 @t6) true)))) % 0.36/0.61 (assume @p5 (forall @t12 (=> @t11 (=> @t10 true)))) % 0.36/0.61 (assume @p6 (forall @t12 (=> @t11 (= @t10 (or @t7 (exists (@list @t13) (and @t14 (tptp.aReductOfIn0 @t13 @t1 @t6) (tptp.sdtmndtplgtdt0 @t13 @t6 @t4)))))))) % 0.36/0.61 (assume @p7 @t20) % 0.36/0.61 (assume @p8 (forall @t12 (=> @t11 (= (tptp.sdtmndtasgtdt0 @t1 @t6 @t4) (or (= @t1 @t4) @t10))))) % 0.36/0.61 (assume @p9 (and @t24 @t23 @t22 @t21)) % 0.36/0.61 (assume @p10 @t56) % 0.36/0.61 (assume @p11 true) % 0.36/0.61 (step @p12 :rule refl :args (@t25)) % 0.36/0.61 (step @p13 :rule refl :args (@t26)) % 0.36/0.61 (step @p14 :rule aci_norm :args ((= (or @t59 (or @t58 @t57)) (or @t59 @t58 @t57)))) % 0.36/0.61 (step @p15 :rule bool-and-de-morgan :args (@t28 @t27 true)) % 0.36/0.61 (step @p16 :rule refl :args (@t59)) % 0.36/0.61 (step @p17 :rule nary_cong :premises (@p16 @p15) :args ((or @t59 (not (and @t28 @t27))))) % 0.36/0.61 (step @p18 :rule bool-and-de-morgan :args (@t2 @t28 (and @t27))) % 0.36/0.61 (step @p19 :rule trans :premises (@p18 @p17)) % 0.36/0.61 (step @p20 :rule trans :premises (@p19 @p14)) % 0.36/0.61 (step @p21 :rule cong :premises (@p20) :args (@t60)) % 0.36/0.61 (step @p22 :rule cong :premises (@p21) :args (@t61)) % 0.36/0.61 (step @p23 :rule exists-elim :args ((= @t30 @t61))) % 0.36/0.61 (step @p24 :rule trans :premises (@p23 @p22)) % 0.36/0.61 (step @p25 :rule refl :args (@t31)) % 0.36/0.61 (step @p26 :rule refl :args (@t32)) % 0.36/0.61 (step @p27 :rule nary_cong :premises (@p26 @p25 @p24 @p13 @p12) :args (@t33)) % 0.36/0.61 (step @p28 :rule refl :args (@t34)) % 0.36/0.61 (step @p29 :rule refl :args (@t35)) % 0.36/0.61 (step @p30 :rule aci_norm :args ((= (or @t59 (or @t62 @t57)) @t63))) % 0.36/0.61 (step @p31 :rule bool-and-de-morgan :args (@t36 @t27 true)) % 0.36/0.61 (step @p32 :rule nary_cong :premises (@p16 @p31) :args ((or @t59 (not (and @t36 @t27))))) % 0.36/0.61 (step @p33 :rule bool-and-de-morgan :args (@t2 @t36 (and @t27))) % 0.36/0.61 (step @p34 :rule trans :premises (@p33 @p32)) % 0.36/0.61 (step @p35 :rule trans :premises (@p34 @p30)) % 0.36/0.61 (step @p36 :rule cong :premises (@p35) :args (@t64)) % 0.36/0.61 (step @p37 :rule cong :premises (@p36) :args (@t65)) % 0.36/0.61 (step @p38 :rule exists-elim :args ((= @t38 @t65))) % 0.36/0.61 (step @p39 :rule trans :premises (@p38 @p37)) % 0.36/0.61 (step @p40 :rule refl :args (@t39)) % 0.36/0.61 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t40)) % 0.36/0.61 (step @p42 :rule nary_cong :premises (@p41 @p29) :args (@t41)) % 0.36/0.61 (step @p43 :rule refl :args (@t42)) % 0.36/0.61 (step @p44 :rule nary_cong :premises (@p43 @p42) :args (@t43)) % 0.36/0.61 (step @p45 :rule refl :args (@t44)) % 0.36/0.61 (step @p46 :rule refl :args (@t45)) % 0.36/0.61 (step @p47 :rule aci_norm :args ((= (or @t59 (or @t58 @t66)) @t67))) % 0.36/0.61 (step @p48 :rule bool-and-de-morgan :args (@t28 @t46 true)) % 0.36/0.61 (step @p49 :rule nary_cong :premises (@p16 @p48) :args ((or @t59 (not (and @t28 @t46))))) % 0.36/0.61 (step @p50 :rule bool-and-de-morgan :args (@t2 @t28 (and @t46))) % 0.36/0.61 (step @p51 :rule trans :premises (@p50 @p49)) % 0.36/0.61 (step @p52 :rule trans :premises (@p51 @p47)) % 0.36/0.61 (step @p53 :rule cong :premises (@p52) :args (@t68)) % 0.36/0.61 (step @p54 :rule cong :premises (@p53) :args (@t69)) % 0.36/0.61 (step @p55 :rule exists-elim :args ((= @t48 @t69))) % 0.36/0.61 (step @p56 :rule trans :premises (@p55 @p54)) % 0.36/0.61 (step @p57 :rule refl :args (@t49)) % 0.36/0.61 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t50)) % 0.36/0.61 (step @p59 :rule nary_cong :premises (@p58 @p46) :args (@t51)) % 0.36/0.61 (step @p60 :rule refl :args (@t52)) % 0.36/0.61 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t53)) % 0.36/0.61 (step @p62 :rule nary_cong :premises (@p61 @p45 @p44 @p28) :args (@t54)) % 0.36/0.61 (step @p63 :rule cong :premises (@p62 @p27) :args (@t55)) % 0.36/0.61 (step @p64 :rule cong :premises (@p63) :args (@t56)) % 0.36/0.61 (step @p65 :rule eq_resolve :premises (@p10 @p64)) % 0.36/0.61 (step @p66 :rule not_implies_elim2 :premises (@p65)) % 0.36/0.61 (step @p67 :rule not_or_elim :premises (@p66) :args (3)) % 0.36/0.61 (step @p68 :rule not_implies_elim1 :premises (@p65)) % 0.36/0.61 (step @p69 :rule and_elim :premises (@p68) :args (1)) % 0.36/0.61 (step @p70 :rule not_or_elim :premises (@p66) :args (4)) % 0.36/0.61 (step @p71 :rule bool-double-not-elim :args (@t25)) % 0.36/0.61 (step @p72 :rule refl :args (@t70)) % 0.36/0.61 (step @p73 :rule refl :args (@t71)) % 0.36/0.61 (step @p74 :rule nary_cong :premises (@p73 @p72 @p71) :args ((or @t71 @t70 (not @t72)))) % 0.36/0.61 (assume-push @p172 @t44) % 0.36/0.61 (assume-push @p173 @t42) % 0.36/0.61 (assume-push @p174 @t72) % 0.36/0.61 (step @p78 :rule evaluate :args ((= false true))) % 0.36/0.61 (step @p79 :rule true_intro :premises (@p69)) % 0.36/0.61 (step @p80 :rule symm :premises (@p173)) % 0.36/0.61 (step @p81 :rule refl :args (tptp.xR)) % 0.36/0.61 (step @p82 :rule refl :args (tptp.xx)) % 0.36/0.61 (step @p83 :rule cong :premises (@p82 @p81 @p80) :args (@t25)) % 0.36/0.61 (step @p84 :rule false_intro :premises (@p70)) % 0.36/0.61 (step @p85 :rule symm :premises (@p84)) % 0.36/0.61 (step @p86 :rule trans :premises (@p85 @p83 @p79)) % 0.36/0.61 (step @p87 false :rule eq_resolve :premises (@p86 @p78)) % 0.36/0.61 (step-pop @p175 :rule scope :premises (@p87)) % 0.36/0.61 (step-pop @p176 :rule scope :premises (@p175)) % 0.36/0.61 (step-pop @p177 :rule scope :premises (@p176)) % 0.36/0.61 (step @p88 :rule process_scope :premises (@p177) :args (false)) % 0.36/0.61 (step @p92 :rule not_and :premises (@p88)) % 0.36/0.61 (step @p93 :rule eq_resolve :premises (@p92 @p74)) % 0.36/0.61 (step @p94 :rule reordering :premises (@p93) :args ((or @t25 @t71 @t70))) % 0.36/0.61 (step @p95 :rule chain_m_resolution :premises (@p94 @p70 @p69) :args (@t70 (@list true false) (@list @t25 @t44))) % 0.36/0.61 (step @p96 :rule and_elim :premises (@p68) :args (2)) % 0.36/0.61 (step @p97 :rule chain_m_resolution :premises (@p96 @p95) :args (@t73 @t74 (@list @t42))) % 0.36/0.61 (step @p98 :rule cnf_and_pos :args (@t73 1)) % 0.36/0.61 (step @p99 :rule reordering :premises (@p98) :args ((or @t35 (not @t73)))) % 0.36/0.61 (step @p100 :rule chain_m_resolution :premises (@p99 @p97) :args (@t35 (@list false) (@list @t73))) % 0.36/0.61 (step @p101 :rule aci_norm :args ((= (or @t81 @t80) (or @t59 @t79 @t78 @t77 @t76 @t75 @t15)))) % 0.36/0.61 (step @p102 :rule aci_norm :args ((= (or (or @t76 @t75) @t15) @t80))) % 0.36/0.61 (step @p103 :rule refl :args (@t15)) % 0.36/0.61 (step @p104 :rule bool-and-de-morgan :args (@t10 @t16 true)) % 0.36/0.61 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or (not @t17) @t15))) % 0.36/0.61 (step @p106 :rule trans :premises (@p105 @p102)) % 0.36/0.61 (step @p107 :rule bool-impl-elim :args (@t17 @t15)) % 0.36/0.61 (step @p108 :rule trans :premises (@p107 @p106)) % 0.36/0.61 (step @p109 :rule aci_norm :args ((= (or @t59 (or @t79 (or @t78 @t77))) @t81))) % 0.36/0.61 (step @p110 :rule bool-and-de-morgan :args (@t5 @t14 true)) % 0.36/0.61 (step @p111 :rule refl :args (@t79)) % 0.36/0.61 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t79 (not (and @t5 @t14))))) % 0.36/0.61 (step @p113 :rule bool-and-de-morgan :args (@t8 @t5 (and @t14))) % 0.36/0.61 (step @p114 :rule trans :premises (@p113 @p112)) % 0.36/0.61 (step @p115 :rule nary_cong :premises (@p16 @p114) :args ((or @t59 (not (and @t8 @t5 @t14))))) % 0.36/0.61 (step @p116 :rule bool-and-de-morgan :args (@t2 @t8 (and @t5 @t14))) % 0.36/0.61 (step @p117 :rule trans :premises (@p116 @p115)) % 0.36/0.61 (step @p118 :rule trans :premises (@p117 @p109)) % 0.36/0.61 (step @p119 :rule nary_cong :premises (@p118 @p108) :args ((or (not @t19) @t18))) % 0.36/0.61 (step @p120 :rule trans :premises (@p119 @p101)) % 0.36/0.61 (step @p121 :rule bool-impl-elim :args (@t19 @t18)) % 0.36/0.61 (step @p122 :rule trans :premises (@p121 @p120)) % 0.36/0.61 (step @p123 :rule cong :premises (@p122) :args (@t20)) % 0.36/0.61 (step @p124 :rule eq_resolve :premises (@p7 @p123)) % 0.36/0.61 (step @p125 :rule instantiate :premises (@p124) :args ((@list tptp.xx tptp.xR tptp.xy tptp.xz))) % 0.36/0.61 (step @p126 :rule and_elim :premises (@p9) :args (3)) % 0.36/0.61 (step @p127 :rule and_elim :premises (@p9) :args (2)) % 0.36/0.61 (step @p128 :rule and_elim :premises (@p9) :args (1)) % 0.36/0.61 (step @p129 :rule and_elim :premises (@p9) :args (0)) % 0.36/0.61 (step @p130 :rule cnf_or_pos :args (@t88)) % 0.36/0.61 (step @p131 :rule reordering :premises (@p130) :args ((or @t26 @t87 @t86 @t85 @t84 @t83 @t82 (not @t88)))) % 0.36/0.61 (step @p132 :rule chain_m_resolution :premises (@p131 @p67 @p129 @p128 @p127 @p126 @p100 @p125) :args (@t83 (@list true false false false false false false) (@list @t26 @t24 @t23 @t22 @t21 @t35 @t88))) % 0.36/0.61 (step @p133 :rule cnf_and_pos :args (@t89 1)) % 0.36/0.61 (step @p134 :rule reordering :premises (@p133) :args ((or @t45 @t90))) % 0.36/0.61 (step @p135 :rule chain_m_resolution :premises (@p134 @p132) :args (@t90 @t74 (@list @t45))) % 0.36/0.61 (step @p136 :rule and_elim :premises (@p68) :args (0)) % 0.36/0.62 (step @p137 :rule chain_m_resolution :premises (@p136 @p135) :args (@t52 @t74 (@list @t89))) % 0.36/0.62 (step @p138 :rule bool-double-not-elim :args (@t26)) % 0.36/0.62 (step @p139 :rule refl :args (@t82)) % 0.36/0.62 (step @p140 :rule refl :args (@t91)) % 0.36/0.62 (step @p141 :rule nary_cong :premises (@p140 @p139 @p138) :args ((or @t91 @t82 (not @t92)))) % 0.36/0.62 (assume-push @p178 @t92) % 0.36/0.62 (assume-push @p179 @t52) % 0.36/0.62 (assume-push @p180 @t35) % 0.36/0.62 (step @p145 :rule evaluate :args ((= true false))) % 0.36/0.62 (step @p146 :rule false_intro :premises (@p67)) % 0.36/0.62 (step @p147 :rule refl :args (tptp.xz)) % 0.36/0.62 (step @p81 :rule refl :args (tptp.xR)) % 0.36/0.62 (step @p148 :rule symm :premises (@p179)) % 0.36/0.62 (step @p149 :rule cong :premises (@p148 @p81 @p147) :args (@t35)) % 0.36/0.62 (step @p150 :rule true_intro :premises (@p180)) % 0.36/0.62 (step @p151 :rule symm :premises (@p150)) % 0.36/0.62 (step @p152 :rule trans :premises (@p151 @p149 @p146)) % 0.36/0.62 (step @p153 false :rule eq_resolve :premises (@p152 @p145)) % 0.36/0.62 (step-pop @p181 :rule scope :premises (@p153)) % 0.36/0.62 (step-pop @p182 :rule scope :premises (@p181)) % 0.36/0.62 (step-pop @p183 :rule scope :premises (@p182)) % 0.36/0.62 (step @p154 :rule process_scope :premises (@p183) :args (false)) % 0.36/0.62 (assume-push @p184 @t52) % 0.36/0.62 (assume-push @p185 @t35) % 0.36/0.62 (assume-push @p186 @t92) % 0.36/0.62 (step @p161 :rule and_intro :premises (@p67 @p184 @p185)) % 0.36/0.62 (step-pop @p187 :rule scope :premises (@p161)) % 0.36/0.62 (step-pop @p188 :rule scope :premises (@p187)) % 0.36/0.62 (step-pop @p189 :rule scope :premises (@p188)) % 0.36/0.62 (step @p162 :rule process_scope :premises (@p189) :args (@t93)) % 0.36/0.62 (step @p166 :rule implies_elim :premises (@p162)) % 0.36/0.62 (step @p167 :rule resolution :premises (@p166 @p154) :args (true @t93)) % 0.36/0.62 (step @p168 :rule not_and :premises (@p167)) % 0.36/0.62 (step @p169 :rule eq_resolve :premises (@p168 @p141)) % 0.36/0.62 (step @p170 :rule reordering :premises (@p169) :args ((or @t26 @t91 @t82))) % 0.36/0.62 (step @p171 false :rule chain_m_resolution :premises (@p170 @p137 @p100 @p67) :args (false (@list false false true) (@list @t52 @t35 @t26))) % 0.36/0.62 ) % 0.36/0.62 % SZS output end Proof % 0.36/0.62 % cvc5 exiting %------------------------------------------------------------------------------