%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO147^5 : 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 : n015.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 09:12:07 AM UTC 2026 % Result : Theorem 0.45s 0.69s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO147^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n015.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:59:49 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.49 %----Proving TH0 % 0.45/0.69 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.69 % SZS status Theorem % 0.45/0.69 % SZS output start Proof % 0.45/0.69 ( % 0.45/0.69 (declare-sort $$unsorted 0) % 0.45/0.69 (declare-const tptp.cP1 (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.cP2 (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.cP3 (-> $$unsorted Bool)) % 0.45/0.69 (define @t1 () (@var "Xy" $$unsorted)) % 0.45/0.69 (define @t2 () (_ tptp.cP3 @t1)) % 0.45/0.69 (define @t3 () (@var "Xx" $$unsorted)) % 0.45/0.69 (define @t4 () (_ tptp.cP3 @t3)) % 0.45/0.69 (define @t5 () (_ tptp.cP2 @t1)) % 0.45/0.69 (define @t6 () (=> @t5 @t4)) % 0.45/0.69 (define @t7 () (_ tptp.cP2 @t3)) % 0.45/0.69 (define @t8 () (_ tptp.cP1 @t1)) % 0.45/0.69 (define @t9 () (=> @t8 @t7)) % 0.45/0.69 (define @t10 () (_ tptp.cP1 @t3)) % 0.45/0.69 (define @t11 () (and @t10 @t9 @t6)) % 0.45/0.69 (define @t12 () (@list @t3)) % 0.45/0.69 (define @t13 () (forall @t12 (=> @t11 @t2))) % 0.45/0.69 (define @t14 () (@list @t1)) % 0.45/0.69 (define @t15 () (exists @t14 @t13)) % 0.45/0.69 (define @t16 () (not @t15)) % 0.45/0.69 (define @t17 () (tptp.cP3 @t3)) % 0.45/0.69 (define @t18 () (not @t17)) % 0.45/0.69 (define @t19 () (@var "BOUND_VARIABLE_7467" $$unsorted)) % 0.45/0.69 (define @t20 () (tptp.cP2 @t3)) % 0.45/0.69 (define @t21 () (not @t20)) % 0.45/0.69 (define @t22 () (tptp.cP1 @t3)) % 0.45/0.69 (define @t23 () (not @t22)) % 0.45/0.69 (define @t24 () (forall (@list @t19) (not (forall @t12 (or @t23 (and (tptp.cP1 @t19) @t21) (and (tptp.cP2 @t19) @t18)))))) % 0.45/0.69 (define @t25 () (@var "BOUND_VARIABLE_7461" $$unsorted)) % 0.45/0.69 (define @t26 () (tptp.cP3 @t25)) % 0.45/0.69 (define @t27 () (@list @t25)) % 0.45/0.69 (define @t28 () (forall @t27 (not @t26))) % 0.45/0.69 (define @t29 () (_ tptp.cP3 @t25)) % 0.45/0.69 (define @t30 () (not @t29)) % 0.45/0.69 (define @t31 () (forall @t27 @t30)) % 0.45/0.69 (define @t32 () (tptp.cP2 @t1)) % 0.45/0.69 (define @t33 () (tptp.cP1 @t1)) % 0.45/0.69 (define @t34 () (forall @t12 (or @t23 (and @t33 @t21) (and @t32 @t18)))) % 0.45/0.69 (define @t35 () (not @t34)) % 0.45/0.69 (define @t36 () (forall @t14 @t35)) % 0.45/0.69 (define @t37 () (@list @t1)) % 0.45/0.69 (define @t38 () (not @t2)) % 0.45/0.69 (define @t39 () (forall @t14 @t38)) % 0.45/0.69 (define @t40 () (and @t39 @t36)) % 0.45/0.69 (define @t41 () (or @t2 @t34)) % 0.45/0.69 (define @t42 () (forall @t14 (not @t41))) % 0.45/0.69 (define @t43 () (not @t42)) % 0.45/0.69 (define @t44 () (not @t4)) % 0.45/0.69 (define @t45 () (and @t5 @t44)) % 0.45/0.69 (define @t46 () (not @t7)) % 0.45/0.69 (define @t47 () (and @t8 @t46)) % 0.45/0.69 (define @t48 () (not @t10)) % 0.45/0.69 (define @t49 () (or @t48 @t47 @t45)) % 0.45/0.69 (define @t50 () (forall @t12 @t49)) % 0.45/0.69 (define @t51 () (or @t2 @t50)) % 0.45/0.69 (define @t52 () (or @t2 @t49)) % 0.45/0.69 (define @t53 () (or @t48 @t47 @t45 @t2)) % 0.45/0.69 (define @t54 () (not @t6)) % 0.45/0.69 (define @t55 () (not @t9)) % 0.45/0.69 (define @t56 () (or @t48 @t55 @t54)) % 0.45/0.69 (define @t57 () (@const 0 $$unsorted)) % 0.45/0.69 (define @t58 () (tptp.cP2 @t57)) % 0.45/0.69 (define @t59 () (tptp.cP1 @t57)) % 0.45/0.69 (define @t60 () (@quantifiers_skolemize (forall @t12 (or @t23 (and @t59 @t21) (and @t58 @t18))) 0)) % 0.45/0.69 (define @t61 () (@list @t60)) % 0.45/0.69 (define @t62 () (tptp.cP2 @t60)) % 0.45/0.69 (define @t63 () (tptp.cP1 @t60)) % 0.45/0.69 (define @t64 () (@quantifiers_skolemize (forall @t12 (or @t23 (and @t63 @t21) (and @t62 @t18))) 0)) % 0.45/0.69 (define @t65 () (tptp.cP3 @t64)) % 0.45/0.69 (define @t66 () (not @t65)) % 0.45/0.69 (define @t67 () (and @t62 @t66)) % 0.45/0.69 (define @t68 () (or (not (tptp.cP1 @t64)) (and @t63 (not (tptp.cP2 @t64))) @t67)) % 0.45/0.69 (define @t69 () (@list true)) % 0.45/0.69 (define @t70 () (@const 1 $$unsorted)) % 0.45/0.69 (define @t71 () (tptp.cP2 @t70)) % 0.45/0.69 (define @t72 () (tptp.cP1 @t70)) % 0.45/0.69 (define @t73 () (@quantifiers_skolemize (forall @t12 (or @t23 (and @t72 @t21) (and @t71 @t18))) 0)) % 0.45/0.69 (define @t74 () (tptp.cP2 @t73)) % 0.45/0.69 (define @t75 () (tptp.cP1 @t73)) % 0.45/0.69 (define @t76 () (@quantifiers_skolemize (forall @t12 (or @t23 (and @t75 @t21) (and @t74 @t18))) 0)) % 0.45/0.69 (define @t77 () (tptp.cP3 @t76)) % 0.45/0.69 (define @t78 () (not @t77)) % 0.45/0.69 (define @t79 () (and @t74 @t78)) % 0.45/0.69 (define @t80 () (or (not (tptp.cP1 @t76)) (and @t75 (not (tptp.cP2 @t76))) @t79)) % 0.45/0.69 (define @t81 () (not @t74)) % 0.45/0.69 (define @t82 () (@list true true)) % 0.45/0.69 (define @t83 () (not @t75)) % 0.45/0.69 (define @t84 () (or @t83 (and @t72 @t81) (and @t71 (not (tptp.cP3 @t73))))) % 0.45/0.69 (define @t85 () (= tptp.cP2 tptp.cP1)) % 0.45/0.69 (define @t86 () (not @t85)) % 0.45/0.69 (define @t87 () (and @t81 @t85 @t75)) % 0.45/0.69 (define @t88 () (@list false true)) % 0.45/0.69 (define @t89 () (= @t58 @t59)) % 0.45/0.69 (define @t90 () (not @t89)) % 0.45/0.69 (define @t91 () (tptp.cP3 @t60)) % 0.45/0.69 (define @t92 () (not @t91)) % 0.45/0.69 (define @t93 () (and @t58 @t92)) % 0.45/0.69 (define @t94 () (not @t62)) % 0.45/0.69 (define @t95 () (and @t59 @t94)) % 0.45/0.69 (define @t96 () (or (not @t63) @t95 @t93)) % 0.45/0.69 (define @t97 () (@list @t96)) % 0.45/0.69 (define @t98 () (not @t58)) % 0.45/0.69 (define @t99 () (not @t59)) % 0.45/0.69 (assume @p1 @t16) % 0.45/0.69 (assume @p2 true) % 0.45/0.69 (step @p3 :rule bool-double-not-elim :args ((and @t28 @t24))) % 0.45/0.69 (step @p4 :rule refl :args (@t24)) % 0.45/0.69 (step @p5 :rule refl :args (@t26)) % 0.45/0.69 (step @p6 :rule refl :args (@t29)) % 0.45/0.69 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t29 @t26))) % 0.45/0.69 (step @p8 :rule symm :premises (@p7)) % 0.45/0.69 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.45/0.69 (step @p10 :rule cong :premises (@p9) :args (@t30)) % 0.45/0.69 (step @p11 :rule cong :premises (@p10) :args (@t31)) % 0.45/0.69 (step @p12 :rule nary_cong :premises (@p11 @p4) :args ((and @t31 @t24))) % 0.45/0.69 (step @p13 :rule alpha_equiv :args (@t36 @t37 (@list @t19))) % 0.45/0.69 (step @p14 :rule alpha_equiv :args (@t39 @t37 (@list @t25))) % 0.45/0.69 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t40)) % 0.45/0.69 (step @p16 :rule quant-miniscope-and :args ((= (forall @t14 (and @t38 @t35)) @t40))) % 0.45/0.69 (step @p17 :rule trans :premises (@p16 @p15)) % 0.45/0.69 (step @p18 :rule trans :premises (@p17 @p12)) % 0.45/0.69 (step @p19 :rule bool-or-de-morgan :args (@t2 @t34 false)) % 0.45/0.69 (step @p20 :rule cong :premises (@p19) :args (@t42)) % 0.45/0.69 (step @p21 :rule trans :premises (@p20 @p18)) % 0.45/0.69 (step @p22 :rule cong :premises (@p21) :args (@t43)) % 0.45/0.69 (step @p23 :rule exists-elim :args ((= (exists @t14 @t41) @t43))) % 0.45/0.69 (step @p24 :rule trans :premises (@p23 @p22)) % 0.45/0.69 (step @p25 :rule refl :args (@t17)) % 0.45/0.69 (step @p26 :rule refl :args (@t4)) % 0.45/0.69 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t4 @t17))) % 0.45/0.69 (step @p28 :rule symm :premises (@p27)) % 0.45/0.69 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.45/0.69 (step @p30 :rule cong :premises (@p29) :args (@t44)) % 0.45/0.69 (step @p31 :rule refl :args (@t32)) % 0.45/0.69 (step @p32 :rule refl :args (@t5)) % 0.45/0.69 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t5 @t32))) % 0.45/0.69 (step @p34 :rule symm :premises (@p33)) % 0.45/0.69 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.45/0.69 (step @p36 :rule nary_cong :premises (@p35 @p30) :args (@t45)) % 0.45/0.69 (step @p37 :rule refl :args (@t20)) % 0.45/0.69 (step @p38 :rule refl :args (@t7)) % 0.45/0.69 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t7 @t20))) % 0.45/0.69 (step @p40 :rule symm :premises (@p39)) % 0.45/0.69 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.45/0.69 (step @p42 :rule cong :premises (@p41) :args (@t46)) % 0.45/0.69 (step @p43 :rule refl :args (@t33)) % 0.45/0.69 (step @p44 :rule refl :args (@t8)) % 0.45/0.69 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t8 @t33))) % 0.45/0.69 (step @p46 :rule symm :premises (@p45)) % 0.45/0.69 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.45/0.69 (step @p48 :rule nary_cong :premises (@p47 @p42) :args (@t47)) % 0.45/0.69 (step @p49 :rule refl :args (@t22)) % 0.45/0.69 (step @p50 :rule refl :args (@t10)) % 0.45/0.69 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t10 @t22))) % 0.45/0.69 (step @p52 :rule symm :premises (@p51)) % 0.45/0.69 (step @p53 :rule eq_resolve :premises (@p50 @p52)) % 0.45/0.69 (step @p54 :rule cong :premises (@p53) :args (@t48)) % 0.45/0.69 (step @p55 :rule nary_cong :premises (@p54 @p48 @p36) :args (@t49)) % 0.45/0.69 (step @p56 :rule cong :premises (@p55) :args (@t50)) % 0.45/0.69 (step @p57 :rule refl :args (@t2)) % 0.45/0.69 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t51)) % 0.45/0.69 (step @p59 :rule quant-miniscope-or :args ((= (forall @t12 @t52) @t51))) % 0.45/0.69 (step @p60 :rule aci_norm :args ((= @t53 @t52))) % 0.45/0.69 (step @p61 :rule cong :premises (@p60) :args ((forall @t12 @t53))) % 0.45/0.69 (step @p62 :rule trans :premises (@p61 @p59)) % 0.45/0.69 (step @p63 :rule trans :premises (@p62 @p58)) % 0.45/0.69 (step @p64 :rule aci_norm :args ((= (or @t49 @t2) @t53))) % 0.45/0.69 (step @p65 :rule refl :args (@t2)) % 0.45/0.69 (step @p66 :rule bool-implies-de-morgan :args (@t5 @t4)) % 0.45/0.69 (step @p67 :rule bool-implies-de-morgan :args (@t8 @t7)) % 0.45/0.69 (step @p68 :rule refl :args (@t48)) % 0.45/0.69 (step @p69 :rule nary_cong :premises (@p68 @p67 @p66) :args (@t56)) % 0.45/0.69 (step @p70 :rule aci_norm :args ((= (or @t48 (or @t55 @t54)) @t56))) % 0.45/0.69 (step @p71 :rule bool-and-de-morgan :args (@t9 @t6 true)) % 0.45/0.69 (step @p72 :rule nary_cong :premises (@p68 @p71) :args ((or @t48 (not (and @t9 @t6))))) % 0.45/0.69 (step @p73 :rule bool-and-de-morgan :args (@t10 @t9 (and @t6))) % 0.45/0.69 (step @p74 :rule trans :premises (@p73 @p72)) % 0.45/0.69 (step @p75 :rule trans :premises (@p74 @p70)) % 0.45/0.69 (step @p76 :rule trans :premises (@p75 @p69)) % 0.45/0.69 (step @p77 :rule nary_cong :premises (@p76 @p65) :args ((or (not @t11) @t2))) % 0.45/0.69 (step @p78 :rule trans :premises (@p77 @p64)) % 0.45/0.69 (step @p79 :rule bool-impl-elim :args (@t11 @t2)) % 0.45/0.69 (step @p80 :rule trans :premises (@p79 @p78)) % 0.45/0.69 (step @p81 :rule cong :premises (@p80) :args (@t13)) % 0.45/0.69 (step @p82 :rule trans :premises (@p81 @p63)) % 0.45/0.69 (step @p83 :rule cong :premises (@p82) :args (@t15)) % 0.45/0.69 (step @p84 :rule trans :premises (@p83 @p24)) % 0.45/0.69 (step @p85 :rule cong :premises (@p84) :args (@t16)) % 0.45/0.69 (step @p86 :rule trans :premises (@p85 @p3)) % 0.45/0.69 (step @p87 :rule eq_resolve :premises (@p1 @p86)) % 0.45/0.69 (step @p88 :rule and_elim :premises (@p87) :args (0)) % 0.45/0.69 (step @p89 :rule and_elim :premises (@p87) :args (1)) % 0.45/0.69 (step @p90 :rule instantiate :premises (@p89) :args (@t61)) % 0.45/0.69 (step @p91 :rule skolemize :premises (@p90)) % 0.45/0.69 (step @p92 :rule cnf_or_neg :args (@t68 2)) % 0.45/0.69 (step @p93 :rule chain_m_resolution :premises (@p92 @p91) :args ((not @t67) @t69 (@list @t68))) % 0.45/0.69 (step @p94 :rule instantiate :premises (@p89) :args ((@list @t73))) % 0.45/0.69 (step @p95 :rule skolemize :premises (@p94)) % 0.45/0.69 (step @p96 :rule cnf_or_neg :args (@t80 2)) % 0.45/0.69 (step @p97 :rule chain_m_resolution :premises (@p96 @p95) :args ((not @t79) @t69 (@list @t80))) % 0.45/0.69 (step @p98 :rule instantiate :premises (@p88) :args ((@list @t76))) % 0.45/0.69 (step @p99 :rule bool-double-not-elim :args (@t77)) % 0.45/0.69 (step @p100 :rule refl :args (@t81)) % 0.45/0.69 (step @p101 :rule refl :args (@t79)) % 0.45/0.69 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99) :args ((or @t79 @t81 (not @t78)))) % 0.45/0.69 (step @p103 :rule cnf_and_neg :args (@t79)) % 0.45/0.69 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.45/0.69 (step @p105 :rule reordering :premises (@p104) :args ((or @t81 @t77 @t79))) % 0.45/0.69 (step @p106 :rule chain_m_resolution :premises (@p105 @p98 @p97) :args (@t81 @t82 (@list @t77 @t79))) % 0.45/0.69 (step @p107 :rule instantiate :premises (@p89) :args ((@list @t70))) % 0.45/0.69 (step @p108 :rule skolemize :premises (@p107)) % 0.45/0.69 (step @p109 :rule bool-double-not-elim :args (@t75)) % 0.45/0.69 (step @p110 :rule refl :args (@t84)) % 0.45/0.69 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t84 (not @t83)))) % 0.45/0.69 (step @p112 :rule cnf_or_neg :args (@t84 0)) % 0.45/0.69 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 0.45/0.69 (step @p114 :rule reordering :premises (@p113) :args ((or @t75 @t84))) % 0.45/0.69 (step @p115 :rule chain_m_resolution :premises (@p114 @p108) :args (@t75 @t69 (@list @t84))) % 0.45/0.69 (step @p116 :rule refl :args (@t86)) % 0.45/0.69 (step @p117 :rule bool-double-not-elim :args (@t74)) % 0.45/0.69 (step @p118 :rule refl :args (@t83)) % 0.45/0.69 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116) :args ((or @t83 (not @t81) @t86))) % 0.45/0.69 (assume-push @p191 @t81) % 0.45/0.69 (assume-push @p192 @t85) % 0.45/0.69 (assume-push @p193 @t75) % 0.45/0.69 (step @p123 :rule evaluate :args ((= true false))) % 0.45/0.69 (step @p124 :rule false_intro :premises (@p106)) % 0.45/0.69 (step @p125 :rule refl :args (@t73)) % 0.45/0.69 (step @p126 :rule symm :premises (@p192)) % 0.45/0.69 (step @p127 :rule ho_cong :premises (@p126 @p125)) % 0.45/0.69 (step @p128 :rule true_intro :premises (@p115)) % 0.45/0.69 (step @p129 :rule symm :premises (@p128)) % 0.45/0.69 (step @p130 :rule trans :premises (@p129 @p127 @p124)) % 0.45/0.69 (step @p131 false :rule eq_resolve :premises (@p130 @p123)) % 0.45/0.69 (step-pop @p194 :rule scope :premises (@p131)) % 0.45/0.69 (step-pop @p195 :rule scope :premises (@p194)) % 0.45/0.69 (step-pop @p196 :rule scope :premises (@p195)) % 0.45/0.69 (step @p132 :rule process_scope :premises (@p196) :args (false)) % 0.45/0.69 (assume-push @p197 @t75) % 0.45/0.69 (assume-push @p198 @t81) % 0.45/0.69 (assume-push @p199 @t85) % 0.45/0.69 (step @p139 :rule and_intro :premises (@p106 @p199 @p115)) % 0.45/0.69 (step-pop @p200 :rule scope :premises (@p139)) % 0.45/0.69 (step-pop @p201 :rule scope :premises (@p200)) % 0.45/0.69 (step-pop @p202 :rule scope :premises (@p201)) % 0.45/0.69 (step @p140 :rule process_scope :premises (@p202) :args (@t87)) % 0.45/0.69 (step @p144 :rule implies_elim :premises (@p140)) % 0.45/0.69 (step @p145 :rule resolution :premises (@p144 @p132) :args (true @t87)) % 0.45/0.69 (step @p146 :rule not_and :premises (@p145)) % 0.45/0.69 (step @p147 :rule eq_resolve :premises (@p146 @p119)) % 0.45/0.69 (step @p148 :rule chain_m_resolution :premises (@p147 @p115 @p106) :args (@t86 @t88 (@list @t75 @t74))) % 0.45/0.69 ; WARNING: add trust step for TRUST % 0.45/0.69 ; trust TRUST THEORY_LEMMA % 0.45/0.69 (step @p149 :rule trust :premises () :args ((or @t85 @t90))) % 0.45/0.69 (step @p150 :rule chain_m_resolution :premises (@p149 @p148) :args (@t90 @t69 (@list @t85))) % 0.45/0.69 (step @p151 :rule instantiate :premises (@p89) :args ((@list @t57))) % 0.45/0.69 (step @p152 :rule skolemize :premises (@p151)) % 0.45/0.69 (step @p153 :rule cnf_or_neg :args (@t96 2)) % 0.45/0.69 (step @p154 :rule chain_m_resolution :premises (@p153 @p152) :args ((not @t93) @t69 @t97)) % 0.45/0.69 (step @p155 :rule instantiate :premises (@p88) :args (@t61)) % 0.45/0.69 (step @p156 :rule bool-double-not-elim :args (@t91)) % 0.45/0.69 (step @p157 :rule refl :args (@t98)) % 0.45/0.69 (step @p158 :rule refl :args (@t93)) % 0.45/0.69 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156) :args ((or @t93 @t98 (not @t92)))) % 0.45/0.69 (step @p160 :rule cnf_and_neg :args (@t93)) % 0.45/0.69 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 0.45/0.69 (step @p162 :rule reordering :premises (@p161) :args ((or @t91 @t93 @t98))) % 0.45/0.69 (step @p163 :rule chain_m_resolution :premises (@p162 @p155 @p154) :args (@t98 @t82 (@list @t91 @t93))) % 0.45/0.69 (step @p164 :rule cnf_equiv_neg1 :args (@t89)) % 0.45/0.69 (step @p165 :rule reordering :premises (@p164) :args ((or @t58 @t59 @t89))) % 0.45/0.69 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p150) :args (@t59 @t82 (@list @t58 @t89))) % 0.45/0.69 (step @p167 :rule cnf_or_neg :args (@t96 1)) % 0.45/0.69 (step @p168 :rule chain_m_resolution :premises (@p167 @p152) :args ((not @t95) @t69 @t97)) % 0.45/0.69 (step @p169 :rule bool-double-not-elim :args (@t62)) % 0.45/0.69 (step @p170 :rule refl :args (@t99)) % 0.45/0.69 (step @p171 :rule refl :args (@t95)) % 0.45/0.69 (step @p172 :rule nary_cong :premises (@p171 @p170 @p169) :args ((or @t95 @t99 (not @t94)))) % 0.45/0.69 (step @p173 :rule cnf_and_neg :args (@t95)) % 0.45/0.69 (step @p174 :rule eq_resolve :premises (@p173 @p172)) % 0.45/0.69 (step @p175 :rule reordering :premises (@p174) :args ((or @t62 @t95 @t99))) % 0.45/0.69 (step @p176 :rule chain_m_resolution :premises (@p175 @p168 @p166) :args (@t62 (@list true false) (@list @t95 @t59))) % 0.45/0.69 (step @p177 :rule bool-double-not-elim :args (@t65)) % 0.45/0.69 (step @p178 :rule refl :args (@t94)) % 0.45/0.69 (step @p179 :rule refl :args (@t67)) % 0.45/0.69 (step @p180 :rule nary_cong :premises (@p179 @p178 @p177) :args ((or @t67 @t94 (not @t66)))) % 0.45/0.69 (step @p181 :rule cnf_and_neg :args (@t67)) % 0.45/0.69 (step @p182 :rule eq_resolve :premises (@p181 @p180)) % 0.45/0.69 (step @p183 :rule reordering :premises (@p182) :args ((or @t94 @t65 @t67))) % 0.45/0.69 (step @p184 :rule chain_m_resolution :premises (@p183 @p176 @p93) :args (@t65 @t88 (@list @t62 @t67))) % 0.45/0.69 (assume-push @p203 @t28) % 0.45/0.69 (step @p186 :rule instantiate :premises (@p88) :args ((@list @t64))) % 0.45/0.69 (step-pop @p204 :rule scope :premises (@p186)) % 0.45/0.69 (step @p187 :rule process_scope :premises (@p204) :args (@t66)) % 0.45/0.69 (step @p189 :rule implies_elim :premises (@p187)) % 0.45/0.69 (step @p190 false :rule chain_m_resolution :premises (@p189 @p184 @p88) :args (false (@list false false) (@list @t65 @t28))) % 0.45/0.69 ) % 0.45/0.69 % SZS output end Proof % 0.45/0.69 % cvc5 exiting %------------------------------------------------------------------------------