%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET592^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:48:08 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET592^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.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 16:03:52 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.38/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort tptp.a 0) % 0.38/0.56 (define @t1 () (@var "Xx" tptp.a)) % 0.38/0.56 (define @t2 () (@list @t1)) % 0.38/0.56 (define @t3 () (lambda @t2 false)) % 0.38/0.56 (define @t4 () (@var "X" (-> tptp.a Bool))) % 0.38/0.56 (define @t5 () (= @t4 @t3)) % 0.38/0.56 (define @t6 () (@var "Z" (-> tptp.a Bool))) % 0.38/0.56 (define @t7 () (_ @t6 @t1)) % 0.38/0.56 (define @t8 () (@var "Y" (-> tptp.a Bool))) % 0.38/0.56 (define @t9 () (_ @t8 @t1)) % 0.38/0.56 (define @t10 () (and @t9 @t7)) % 0.38/0.56 (define @t11 () (lambda @t2 @t10)) % 0.38/0.56 (define @t12 () (= @t11 @t3)) % 0.38/0.56 (define @t13 () (_ @t4 @t1)) % 0.38/0.56 (define @t14 () (forall @t2 (=> @t13 @t7))) % 0.38/0.56 (define @t15 () (forall @t2 (=> @t13 @t9))) % 0.38/0.56 (define @t16 () (and @t15 @t14 @t12)) % 0.38/0.56 (define @t17 () (=> @t16 @t5)) % 0.38/0.56 (define @t18 () (@list @t4 @t8 @t6)) % 0.38/0.56 (define @t19 () (forall @t18 @t17)) % 0.38/0.56 (define @t20 () (not @t19)) % 0.38/0.56 (define @t21 () (@var "BOUND_VARIABLE_7526" tptp.a)) % 0.38/0.56 (define @t22 () (@list @t21)) % 0.38/0.56 (define @t23 () (lambda @t22 false)) % 0.38/0.56 (define @t24 () (= @t4 @t23)) % 0.38/0.56 (define @t25 () (_ @t6 @t1)) % 0.38/0.56 (define @t26 () (_ @t8 @t1)) % 0.38/0.56 (define @t27 () (lambda @t2 (and @t26 @t25))) % 0.38/0.56 (define @t28 () (not (= @t27 @t23))) % 0.38/0.56 (define @t29 () (_ @t4 @t1)) % 0.38/0.56 (define @t30 () (not @t29)) % 0.38/0.56 (define @t31 () (forall @t2 (or @t30 @t25))) % 0.38/0.56 (define @t32 () (not @t31)) % 0.38/0.56 (define @t33 () (forall @t2 (or @t30 @t26))) % 0.38/0.56 (define @t34 () (not @t33)) % 0.38/0.56 (define @t35 () (or @t34 @t32 @t28 @t24)) % 0.38/0.56 (define @t36 () (= @t11 @t23)) % 0.38/0.56 (define @t37 () (not @t36)) % 0.38/0.56 (define @t38 () (or @t34 @t32 @t37 @t24)) % 0.38/0.56 (define @t39 () (or @t34 @t32 @t37)) % 0.38/0.56 (define @t40 () (and @t33 @t31 @t36)) % 0.38/0.56 (define @t41 () (not @t13)) % 0.38/0.56 (define @t42 () (or @t41 @t7)) % 0.38/0.56 (define @t43 () (or @t41 @t9)) % 0.38/0.56 (define @t44 () (@purify @t23)) % 0.38/0.56 (define @t45 () (forall @t18 (or @t34 @t32 (not (= @t23 @t27)) @t24))) % 0.38/0.56 (define @t46 () (@quantifiers_skolemize @t45 0)) % 0.38/0.56 (define @t47 () (= @t46 @t44)) % 0.38/0.56 (define @t48 () (@quantifiers_skolemize @t45 2)) % 0.38/0.56 (define @t49 () (_ @t48 @t1)) % 0.38/0.56 (define @t50 () (@quantifiers_skolemize @t45 1)) % 0.38/0.56 (define @t51 () (_ @t50 @t1)) % 0.38/0.56 (define @t52 () (lambda @t2 (and @t51 @t49))) % 0.38/0.56 (define @t53 () (@purify @t52)) % 0.38/0.56 (define @t54 () (= @t44 @t53)) % 0.38/0.56 (define @t55 () (not @t54)) % 0.38/0.56 (define @t56 () (not (_ @t46 @t1))) % 0.38/0.56 (define @t57 () (forall @t2 (or @t56 @t49))) % 0.38/0.56 (define @t58 () (not @t57)) % 0.38/0.56 (define @t59 () (forall @t2 (or @t56 @t51))) % 0.38/0.56 (define @t60 () (not @t59)) % 0.38/0.56 (define @t61 () (or @t60 @t58 @t55 @t47)) % 0.38/0.56 (define @t62 () (not @t61)) % 0.38/0.56 (define @t63 () (not @t45)) % 0.38/0.56 (define @t64 () (= @t23 @t46)) % 0.38/0.56 (define @t65 () (= @t23 @t52)) % 0.38/0.56 (define @t66 () (not @t65)) % 0.38/0.56 (define @t67 () (or @t60 @t58 @t66 @t64)) % 0.38/0.56 (define @t68 () (not @t67)) % 0.38/0.56 (define @t69 () (or @t60 @t58 @t66 (= @t46 @t23))) % 0.38/0.56 (define @t70 () (not @t69)) % 0.38/0.56 (define @t71 () (@list true)) % 0.38/0.56 (define @t72 () (@list @t61)) % 0.38/0.56 (define @t73 () (_ @t50 @t21)) % 0.38/0.56 (define @t74 () (_ @t48 @t21)) % 0.38/0.56 (define @t75 () (and @t73 @t74)) % 0.38/0.56 (define @t76 () (forall @t22 (= false @t75))) % 0.38/0.56 (define @t77 () (=> @t54 @t76)) % 0.38/0.56 (define @t78 () (forall @t22 (or (not @t73) (not @t74)))) % 0.38/0.56 (define @t79 () (@const 0 tptp.a)) % 0.38/0.56 (define @t80 () (@list @t79)) % 0.38/0.56 (define @t81 () (_ @t46 @t79)) % 0.38/0.56 (define @t82 () (_ @t23 @t79)) % 0.38/0.56 (define @t83 () (_ @t44 @t79)) % 0.38/0.56 (define @t84 () (= @t81 @t83)) % 0.38/0.56 (define @t85 () (not @t84)) % 0.38/0.56 (define @t86 () (or @t47 @t85)) % 0.38/0.56 (define @t87 () (_ @t48 @t79)) % 0.38/0.56 (define @t88 () (not @t81)) % 0.38/0.56 (define @t89 () (or @t88 @t87)) % 0.38/0.56 (define @t90 () (@list false false)) % 0.38/0.56 (define @t91 () (_ @t50 @t79)) % 0.38/0.56 (define @t92 () (or @t88 @t91)) % 0.38/0.56 (define @t93 () (not @t87)) % 0.38/0.56 (define @t94 () (not @t91)) % 0.38/0.56 (define @t95 () (or @t94 @t93)) % 0.38/0.56 (define @t96 () (not @t95)) % 0.38/0.56 (assume @p1 @t20) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 :rule refl :args (@t24)) % 0.38/0.56 (step @p4 :rule eq-symm :args (@t27 @t23)) % 0.38/0.56 (step @p5 :rule cong :premises (@p4) :args (@t28)) % 0.38/0.56 (step @p6 :rule refl :args (@t32)) % 0.38/0.56 (step @p7 :rule refl :args (@t34)) % 0.38/0.56 (step @p8 :rule nary_cong :premises (@p7 @p6 @p5 @p3) :args (@t35)) % 0.38/0.56 (step @p9 :rule cong :premises (@p8) :args ((forall @t18 @t35))) % 0.38/0.56 (step @p10 :rule refl :args (@t24)) % 0.38/0.56 (step @p11 :rule refl :args (@t23)) % 0.38/0.56 (step @p12 :rule refl :args (@t25)) % 0.38/0.56 (step @p13 :rule refl :args (@t7)) % 0.38/0.56 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t7 @t25))) % 0.38/0.56 (step @p15 :rule symm :premises (@p14)) % 0.38/0.56 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 0.38/0.56 (step @p17 :rule refl :args (@t26)) % 0.38/0.56 (step @p18 :rule refl :args (@t9)) % 0.38/0.56 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t9 @t26))) % 0.38/0.56 (step @p20 :rule symm :premises (@p19)) % 0.38/0.56 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.38/0.56 (step @p22 :rule nary_cong :premises (@p21 @p16) :args (@t10)) % 0.38/0.56 (step @p23 :rule cong :premises (@p22) :args (@t11)) % 0.38/0.56 (step @p24 :rule cong :premises (@p23 @p11) :args (@t36)) % 0.38/0.56 (step @p25 :rule cong :premises (@p24) :args (@t37)) % 0.38/0.56 (step @p26 :rule refl :args (@t32)) % 0.38/0.56 (step @p27 :rule refl :args (@t34)) % 0.38/0.56 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25 @p10) :args (@t38)) % 0.38/0.56 (step @p29 :rule cong :premises (@p28) :args ((forall @t18 @t38))) % 0.38/0.56 (step @p30 :rule trans :premises (@p29 @p9)) % 0.38/0.56 (step @p31 :rule aci_norm :args ((= (or @t39 @t24) @t38))) % 0.38/0.56 (step @p32 :rule aci_norm :args ((= (or @t34 (or @t32 @t37)) @t39))) % 0.38/0.56 (step @p33 :rule bool-and-de-morgan :args (@t31 @t36 true)) % 0.38/0.57 (step @p34 :rule nary_cong :premises (@p27 @p33) :args ((or @t34 (not (and @t31 @t36))))) % 0.38/0.57 (step @p35 :rule bool-and-de-morgan :args (@t33 @t31 (and @t36))) % 0.38/0.57 (step @p36 :rule trans :premises (@p35 @p34)) % 0.38/0.57 (step @p37 :rule trans :premises (@p36 @p32)) % 0.38/0.57 (step @p38 :rule nary_cong :premises (@p37 @p10) :args ((or (not @t40) @t24))) % 0.38/0.57 (step @p39 :rule trans :premises (@p38 @p31)) % 0.38/0.57 (step @p40 :rule bool-impl-elim :args (@t40 @t24)) % 0.38/0.57 (step @p41 :rule trans :premises (@p40 @p39)) % 0.38/0.57 (step @p42 :rule cong :premises (@p41) :args ((forall @t18 (=> @t40 @t24)))) % 0.38/0.57 (step @p43 :rule trans :premises (@p42 @p30)) % 0.38/0.57 (step @p44 :rule refl :args (@t23)) % 0.38/0.57 (step @p45 :rule symm :premises (@p44)) % 0.38/0.57 (step @p46 :rule alpha_equiv :args (@t3 (@list @t1) (@list @t21))) % 0.38/0.57 (step @p47 :rule trans :premises (@p46 @p45)) % 0.38/0.57 (step @p48 :rule refl :args (@t4)) % 0.38/0.57 (step @p49 :rule cong :premises (@p48 @p47) :args (@t5)) % 0.38/0.57 (step @p50 :rule refl :args (@t11)) % 0.38/0.57 (step @p51 :rule cong :premises (@p50 @p47) :args (@t12)) % 0.38/0.57 (step @p52 :rule refl :args (@t29)) % 0.38/0.57 (step @p53 :rule refl :args (@t13)) % 0.38/0.57 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t13 @t29))) % 0.38/0.57 (step @p55 :rule symm :premises (@p54)) % 0.38/0.57 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.38/0.57 (step @p57 :rule cong :premises (@p56) :args (@t41)) % 0.38/0.57 (step @p58 :rule nary_cong :premises (@p57 @p16) :args (@t42)) % 0.38/0.57 (step @p59 :rule cong :premises (@p58) :args ((forall @t2 @t42))) % 0.38/0.57 (step @p60 :rule bool-impl-elim :args (@t13 @t7)) % 0.38/0.57 (step @p61 :rule cong :premises (@p60) :args (@t14)) % 0.38/0.57 (step @p62 :rule trans :premises (@p61 @p59)) % 0.38/0.57 (step @p63 :rule nary_cong :premises (@p57 @p21) :args (@t43)) % 0.38/0.57 (step @p64 :rule cong :premises (@p63) :args ((forall @t2 @t43))) % 0.38/0.57 (step @p65 :rule bool-impl-elim :args (@t13 @t9)) % 0.38/0.57 (step @p66 :rule cong :premises (@p65) :args (@t15)) % 0.38/0.57 (step @p67 :rule trans :premises (@p66 @p64)) % 0.38/0.57 (step @p68 :rule nary_cong :premises (@p67 @p62 @p51) :args (@t16)) % 0.38/0.57 (step @p69 :rule cong :premises (@p68 @p49) :args (@t17)) % 0.38/0.57 (step @p70 :rule cong :premises (@p69) :args (@t19)) % 0.38/0.57 (step @p71 :rule trans :premises (@p70 @p43)) % 0.38/0.57 (step @p72 :rule cong :premises (@p71) :args (@t20)) % 0.38/0.57 (step @p73 :rule eq_resolve :premises (@p1 @p72)) % 0.38/0.57 (step @p74 :rule refl :args (@t62)) % 0.38/0.57 (step @p75 :rule bool-double-not-elim :args (@t45)) % 0.38/0.57 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or (not @t63) @t62))) % 0.38/0.57 (step @p77 :rule eq-symm :args (@t44 @t46)) % 0.38/0.57 (step @p78 :rule refl :args (@t46)) % 0.38/0.57 (step @p79 :rule eq-refl :args (@t23)) % 0.38/0.57 (step @p80 :rule refl :args (@t23)) % 0.38/0.57 (step @p81 :rule cong :premises (@p80 @p45) :args ((= @t23 @t23))) % 0.38/0.57 (step @p82 :rule trans :premises (@p81 @p79)) % 0.38/0.57 (step @p83 :rule skolem_intro :args (@t44)) % 0.38/0.57 (step @p84 :rule cong :premises (@p80 @p83) :args ((= @t23 @t44))) % 0.38/0.57 (step @p85 :rule trans :premises (@p84 @p82)) % 0.38/0.57 (step @p86 :rule true_elim :premises (@p85)) % 0.38/0.57 (step @p87 :rule cong :premises (@p86 @p78) :args (@t64)) % 0.38/0.57 (step @p88 :rule trans :premises (@p87 @p77)) % 0.38/0.57 (step @p89 :rule eq-refl :args (@t52)) % 0.38/0.57 (step @p90 :rule skolem_intro :args (@t53)) % 0.38/0.57 (step @p91 :rule refl :args (@t52)) % 0.38/0.57 (step @p92 :rule cong :premises (@p91 @p90) :args ((= @t52 @t53))) % 0.38/0.57 (step @p93 :rule trans :premises (@p92 @p89)) % 0.38/0.57 (step @p94 :rule true_elim :premises (@p93)) % 0.38/0.57 (step @p95 :rule cong :premises (@p86 @p94) :args (@t65)) % 0.38/0.57 (step @p96 :rule cong :premises (@p95) :args (@t66)) % 0.38/0.57 (step @p97 :rule refl :args (@t58)) % 0.38/0.57 (step @p98 :rule refl :args (@t60)) % 0.38/0.57 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96 @p88) :args (@t67)) % 0.38/0.57 (step @p100 :rule cong :premises (@p99) :args (@t68)) % 0.38/0.57 (step @p101 :rule refl :args (@t63)) % 0.38/0.57 (step @p102 :rule cong :premises (@p101 @p100) :args ((=> @t63 @t68))) % 0.38/0.57 (step @p103 :rule eq-symm :args (@t46 @t23)) % 0.38/0.57 (step @p104 :rule refl :args (@t66)) % 0.38/0.57 (step @p105 :rule nary_cong :premises (@p98 @p97 @p104 @p103) :args (@t69)) % 0.38/0.57 (step @p106 :rule cong :premises (@p105) :args (@t70)) % 0.38/0.57 (step @p107 :rule cong :premises (@p101 @p106) :args ((=> @t63 @t70))) % 0.38/0.57 (step @p108 :rule trans :premises (@p107 @p102)) % 0.38/0.57 (assume-push @p190 @t63) % 0.38/0.57 (step @p110 :rule skolemize :premises (@p73)) % 0.38/0.57 (step-pop @p191 :rule scope :premises (@p110)) % 0.38/0.57 (step @p111 :rule process_scope :premises (@p191) :args (@t70)) % 0.38/0.57 (step @p113 :rule eq_resolve :premises (@p111 @p108)) % 0.38/0.57 (step @p114 :rule implies_elim :premises (@p113)) % 0.38/0.57 (step @p115 :rule eq_resolve :premises (@p114 @p76)) % 0.38/0.57 (step @p116 :rule chain_m_resolution :premises (@p115 @p73) :args (@t62 @t71 (@list @t45))) % 0.38/0.57 (step @p117 :rule bool-double-not-elim :args (@t54)) % 0.38/0.57 (step @p118 :rule refl :args (@t61)) % 0.38/0.57 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or @t61 (not @t55)))) % 0.38/0.57 (step @p120 :rule cnf_or_neg :args (@t61 2)) % 0.38/0.57 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 0.38/0.57 (step @p122 :rule reordering :premises (@p121) :args ((or @t54 @t61))) % 0.38/0.57 (step @p123 :rule chain_m_resolution :premises (@p122 @p116) :args (@t54 @t71 @t72)) % 0.38/0.57 (step @p124 :rule bool-and-de-morgan :args (@t73 @t74 true)) % 0.38/0.57 (step @p125 :rule cong :premises (@p124) :args ((forall @t22 (not @t75)))) % 0.38/0.57 (step @p126 :rule bool-eq-false :args (@t75)) % 0.38/0.57 (step @p127 :rule eq-symm :args (false @t75)) % 0.38/0.57 (step @p128 :rule trans :premises (@p127 @p126)) % 0.38/0.57 (step @p129 :rule cong :premises (@p128) :args (@t76)) % 0.38/0.57 (step @p130 :rule trans :premises (@p129 @p125)) % 0.38/0.57 (step @p131 :rule refl :args (@t54)) % 0.38/0.57 (step @p132 :rule cong :premises (@p131 @p130) :args (@t77)) % 0.38/0.57 ; WARNING: add trust step for TRUST % 0.38/0.57 ; trust TRUST THEORY_LEMMA % 0.38/0.57 (step @p133 :rule trust :premises () :args (@t77)) % 0.38/0.57 (step @p134 :rule eq_resolve :premises (@p133 @p132)) % 0.38/0.57 (step @p135 :rule implies_elim :premises (@p134)) % 0.38/0.57 (step @p136 :rule chain_m_resolution :premises (@p135 @p123) :args (@t78 (@list false) (@list @t54))) % 0.38/0.57 (step @p137 :rule bool-double-not-elim :args (@t57)) % 0.38/0.57 (step @p138 :rule nary_cong :premises (@p118 @p137) :args ((or @t61 (not @t58)))) % 0.38/0.57 (step @p139 :rule cnf_or_neg :args (@t61 1)) % 0.38/0.57 (step @p140 :rule eq_resolve :premises (@p139 @p138)) % 0.38/0.57 (step @p141 :rule reordering :premises (@p140) :args ((or @t57 @t61))) % 0.38/0.57 (step @p142 :rule chain_m_resolution :premises (@p141 @p116) :args (@t57 @t71 @t72)) % 0.38/0.57 (step @p143 :rule instantiate :premises (@p142) :args (@t80)) % 0.38/0.57 (step @p144 :rule cnf_or_neg :args (@t61 3)) % 0.38/0.57 (step @p145 :rule chain_m_resolution :premises (@p144 @p116) :args ((not @t47) @t71 @t72)) % 0.38/0.57 (step @p146 :rule bool-double-not-elim :args (@t81)) % 0.38/0.57 (step @p147 :rule bool-eq-false :args (@t81)) % 0.38/0.57 (step @p148 :rule evaluate :args ((not false))) % 0.38/0.57 (step @p149 :rule beta-reduce :args ((= @t82 false))) % 0.38/0.57 (step @p150 :rule cong :premises (@p149) :args ((not @t82))) % 0.38/0.57 (step @p151 :rule trans :premises (@p150 @p148)) % 0.38/0.57 (step @p152 :rule refl :args (@t79)) % 0.38/0.57 (step @p153 :rule ho_cong :premises (@p83 @p152)) % 0.38/0.57 (step @p154 :rule cong :premises (@p153) :args ((not @t83))) % 0.38/0.57 (step @p155 :rule bool-eq-false :args (@t83)) % 0.38/0.57 (step @p156 :rule trans :premises (@p155 @p154 @p151)) % 0.38/0.57 (step @p157 :rule true_elim :premises (@p156)) % 0.38/0.57 (step @p158 :rule refl :args (@t81)) % 0.38/0.57 (step @p159 :rule cong :premises (@p158 @p157) :args (@t84)) % 0.38/0.57 (step @p160 :rule trans :premises (@p159 @p147)) % 0.38/0.57 (step @p161 :rule cong :premises (@p160) :args (@t85)) % 0.38/0.57 (step @p162 :rule trans :premises (@p161 @p146)) % 0.38/0.57 (step @p163 :rule refl :args (@t47)) % 0.38/0.57 (step @p164 :rule nary_cong :premises (@p163 @p162) :args (@t86)) % 0.38/0.57 ; trust TRUST THEORY_LEMMA % 0.38/0.57 (step @p165 :rule trust :premises () :args (@t86)) % 0.38/0.57 (step @p166 :rule eq_resolve :premises (@p165 @p164)) % 0.38/0.57 (step @p167 :rule chain_m_resolution :premises (@p166 @p145) :args (@t81 @t71 (@list @t47))) % 0.38/0.57 (step @p168 :rule cnf_or_pos :args (@t89)) % 0.38/0.57 (step @p169 :rule reordering :premises (@p168) :args ((or @t88 @t87 (not @t89)))) % 0.38/0.57 (step @p170 :rule chain_m_resolution :premises (@p169 @p167 @p143) :args (@t87 @t90 (@list @t81 @t89))) % 0.38/0.57 (step @p171 :rule bool-double-not-elim :args (@t59)) % 0.38/0.57 (step @p172 :rule nary_cong :premises (@p118 @p171) :args ((or @t61 (not @t60)))) % 0.38/0.57 (step @p173 :rule cnf_or_neg :args (@t61 0)) % 0.38/0.57 (step @p174 :rule eq_resolve :premises (@p173 @p172)) % 0.38/0.57 (step @p175 :rule reordering :premises (@p174) :args ((or @t59 @t61))) % 0.38/0.57 (step @p176 :rule chain_m_resolution :premises (@p175 @p116) :args (@t59 @t71 @t72)) % 0.38/0.57 (step @p177 :rule instantiate :premises (@p176) :args (@t80)) % 0.38/0.57 (step @p178 :rule cnf_or_pos :args (@t92)) % 0.38/0.57 (step @p179 :rule reordering :premises (@p178) :args ((or @t88 @t91 (not @t92)))) % 0.38/0.57 (step @p180 :rule chain_m_resolution :premises (@p179 @p167 @p177) :args (@t91 @t90 (@list @t81 @t92))) % 0.38/0.57 (step @p181 :rule cnf_or_pos :args (@t95)) % 0.38/0.57 (step @p182 :rule reordering :premises (@p181) :args ((or @t94 @t93 @t96))) % 0.38/0.57 (step @p183 :rule chain_m_resolution :premises (@p182 @p180 @p170) :args (@t96 @t90 (@list @t91 @t87))) % 0.38/0.57 (assume-push @p192 @t78) % 0.38/0.57 (step @p185 :rule instantiate :premises (@p136) :args (@t80)) % 0.38/0.57 (step-pop @p193 :rule scope :premises (@p185)) % 0.38/0.57 (step @p186 :rule process_scope :premises (@p193) :args (@t95)) % 0.38/0.57 (step @p188 :rule implies_elim :premises (@p186)) % 0.38/0.57 (step @p189 false :rule chain_m_resolution :premises (@p188 @p183 @p136) :args (false (@list true false) (@list @t95 @t78))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------