%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO041^2 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 09:11:51 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO041^2 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n028.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 23:52:35 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.48 %----Proving TH0 % 0.39/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-const tptp.y Bool) % 0.39/0.56 (declare-const tptp.g (-> Bool Bool)) % 0.39/0.56 (declare-const tptp.f (-> Bool Bool)) % 0.39/0.56 (declare-const tptp.x Bool) % 0.39/0.56 (define @t1 () (_ tptp.f tptp.x)) % 0.39/0.56 (define @t2 () (_ tptp.f @t1)) % 0.39/0.56 (define @t3 () (= (_ tptp.f @t2) (_ tptp.g @t1))) % 0.39/0.56 (define @t4 () (_ tptp.g tptp.y)) % 0.39/0.56 (define @t5 () (_ tptp.g tptp.x)) % 0.39/0.56 (define @t6 () (= tptp.x tptp.y)) % 0.39/0.56 (define @t7 () (not @t6)) % 0.39/0.56 (define @t8 () (and @t7 (= @t5 tptp.y) (= @t4 tptp.x) @t3)) % 0.39/0.56 (define @t9 () (@purify @t2)) % 0.39/0.56 (define @t10 () (tptp.f @t9)) % 0.39/0.56 (define @t11 () (@purify @t1)) % 0.39/0.56 (define @t12 () (tptp.g @t11)) % 0.39/0.56 (define @t13 () (_ tptp.g @t11)) % 0.39/0.56 (define @t14 () (= @t1 @t11)) % 0.39/0.56 (define @t15 () (_ tptp.f @t9)) % 0.39/0.56 (define @t16 () (= @t2 @t9)) % 0.39/0.56 (define @t17 () (@purify @t5)) % 0.39/0.56 (define @t18 () (tptp.g @t17)) % 0.39/0.56 (define @t19 () (_ tptp.g @t17)) % 0.39/0.56 (define @t20 () (= @t5 @t17)) % 0.39/0.56 (define @t21 () (= tptp.x (_ tptp.g @t5))) % 0.39/0.56 (define @t22 () (@purify tptp.x)) % 0.39/0.56 (define @t23 () (tptp.g @t22)) % 0.39/0.56 (define @t24 () (_ tptp.g @t22)) % 0.39/0.56 (define @t25 () (= tptp.x @t5)) % 0.39/0.56 (define @t26 () (not @t25)) % 0.39/0.56 (define @t27 () (and @t26 @t21 @t3)) % 0.39/0.56 (define @t28 () (= tptp.x @t4)) % 0.39/0.56 (define @t29 () (= tptp.y @t5)) % 0.39/0.56 (define @t30 () (not tptp.x)) % 0.39/0.56 (define @t31 () (not @t17)) % 0.39/0.56 (define @t32 () (not @t12)) % 0.39/0.56 (define @t33 () (not @t22)) % 0.39/0.56 (define @t34 () (not @t11)) % 0.39/0.56 (define @t35 () (not @t23)) % 0.39/0.56 (define @t36 () (= true false)) % 0.39/0.56 (define @t37 () (and @t35 @t22 @t11 @t12)) % 0.39/0.56 (define @t38 () (tptp.f @t22)) % 0.39/0.56 (define @t39 () (_ tptp.f @t22)) % 0.39/0.56 (define @t40 () (not @t10)) % 0.39/0.56 (define @t41 () (not @t9)) % 0.39/0.56 (define @t42 () (not @t38)) % 0.39/0.56 (define @t43 () (not @t42)) % 0.39/0.56 (define @t44 () (and @t42 @t22 @t9 @t10)) % 0.39/0.56 (define @t45 () (tptp.f @t11)) % 0.39/0.56 (define @t46 () (_ tptp.f @t11)) % 0.39/0.56 (define @t47 () (not @t41)) % 0.39/0.56 (define @t48 () (not @t34)) % 0.39/0.56 (define @t49 () (and @t10 @t34 @t41)) % 0.39/0.56 (define @t50 () (and @t11 @t22 @t38)) % 0.39/0.56 (define @t51 () (not @t40)) % 0.39/0.56 (define @t52 () (= false true)) % 0.39/0.56 (define @t53 () (and @t38 @t22 @t9 @t40)) % 0.39/0.56 (define @t54 () (not @t18)) % 0.39/0.56 (define @t55 () (not @t32)) % 0.39/0.56 (define @t56 () (and @t18 @t31 @t34 @t32)) % 0.39/0.56 (define @t57 () (@list true)) % 0.39/0.56 (define @t58 () (@list tptp.x)) % 0.39/0.56 (define @t59 () (and @t54 @t17 @t11 @t12)) % 0.39/0.56 (define @t60 () (not @t45)) % 0.39/0.56 (define @t61 () (not @t33)) % 0.39/0.56 (define @t62 () (and @t34 @t42 @t33)) % 0.39/0.56 (define @t63 () (and @t11 @t9 @t40)) % 0.39/0.56 (define @t64 () (and @t38 @t33 @t41 @t40)) % 0.39/0.56 (define @t65 () (@list true true true false)) % 0.39/0.56 (define @t66 () (and @t23 @t33 @t34 @t32)) % 0.39/0.56 (assume @p1 (not (not @t8))) % 0.39/0.56 (assume @p2 true) % 0.39/0.56 (step @p3 :rule eq-symm :args (@t10 @t12)) % 0.39/0.56 (step @p4 :rule refl :args (@t12)) % 0.39/0.56 (step @p5 :rule refl :args (@t13)) % 0.39/0.56 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t13 @t12))) % 0.39/0.56 (step @p7 :rule symm :premises (@p6)) % 0.39/0.56 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.39/0.56 (step @p9 :rule eq-refl :args (@t1)) % 0.39/0.56 (step @p10 :rule skolem_intro :args (@t11)) % 0.39/0.56 (step @p11 :rule refl :args (@t1)) % 0.39/0.56 (step @p12 :rule cong :premises (@p11 @p10) :args (@t14)) % 0.39/0.56 (step @p13 :rule trans :premises (@p12 @p9)) % 0.39/0.56 (step @p14 :rule true_elim :premises (@p13)) % 0.39/0.56 (step @p15 :rule refl :args (tptp.g)) % 0.39/0.56 (step @p16 :rule ho_cong :premises (@p15 @p14)) % 0.39/0.56 (step @p17 :rule trans :premises (@p16 @p8)) % 0.39/0.56 (step @p18 :rule refl :args (@t10)) % 0.39/0.56 (step @p19 :rule refl :args (@t15)) % 0.39/0.56 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t15 @t10))) % 0.39/0.56 (step @p21 :rule symm :premises (@p20)) % 0.39/0.56 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.39/0.56 (step @p23 :rule eq-refl :args (@t2)) % 0.39/0.56 (step @p24 :rule skolem_intro :args (@t9)) % 0.39/0.56 (step @p25 :rule refl :args (@t2)) % 0.39/0.56 (step @p26 :rule cong :premises (@p25 @p24) :args (@t16)) % 0.39/0.56 (step @p27 :rule trans :premises (@p26 @p23)) % 0.39/0.56 (step @p28 :rule true_elim :premises (@p27)) % 0.39/0.56 (step @p29 :rule refl :args (tptp.f)) % 0.39/0.56 (step @p30 :rule ho_cong :premises (@p29 @p28)) % 0.39/0.56 (step @p31 :rule trans :premises (@p30 @p22)) % 0.39/0.56 (step @p32 :rule cong :premises (@p31 @p17) :args (@t3)) % 0.39/0.56 (step @p33 :rule trans :premises (@p32 @p3)) % 0.39/0.56 (step @p34 :rule refl :args (@t18)) % 0.39/0.56 (step @p35 :rule refl :args (@t19)) % 0.39/0.56 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t19 @t18))) % 0.39/0.56 (step @p37 :rule symm :premises (@p36)) % 0.39/0.56 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 0.39/0.56 (step @p39 :rule eq-refl :args (@t5)) % 0.39/0.56 (step @p40 :rule skolem_intro :args (@t17)) % 0.39/0.56 (step @p41 :rule refl :args (@t5)) % 0.39/0.56 (step @p42 :rule cong :premises (@p41 @p40) :args (@t20)) % 0.39/0.56 (step @p43 :rule trans :premises (@p42 @p39)) % 0.39/0.56 (step @p44 :rule true_elim :premises (@p43)) % 0.39/0.56 (step @p45 :rule ho_cong :premises (@p15 @p44)) % 0.39/0.56 (step @p46 :rule trans :premises (@p45 @p38)) % 0.39/0.56 (step @p47 :rule refl :args (tptp.x)) % 0.39/0.56 (step @p48 :rule cong :premises (@p47 @p46) :args (@t21)) % 0.39/0.56 (step @p49 :rule refl :args (@t23)) % 0.39/0.56 (step @p50 :rule refl :args (@t24)) % 0.39/0.56 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t24 @t23))) % 0.39/0.56 (step @p52 :rule symm :premises (@p51)) % 0.39/0.56 (step @p53 :rule eq_resolve :premises (@p50 @p52)) % 0.39/0.56 (step @p54 :rule eq-refl :args (tptp.x)) % 0.39/0.56 (step @p55 :rule skolem_intro :args (@t22)) % 0.39/0.56 (step @p56 :rule cong :premises (@p47 @p55) :args ((= tptp.x @t22))) % 0.39/0.56 (step @p57 :rule trans :premises (@p56 @p54)) % 0.39/0.56 (step @p58 :rule true_elim :premises (@p57)) % 0.39/0.56 (step @p59 :rule ho_cong :premises (@p15 @p58)) % 0.39/0.56 (step @p60 :rule trans :premises (@p59 @p53)) % 0.39/0.56 (step @p61 :rule cong :premises (@p47 @p60) :args (@t25)) % 0.39/0.56 (step @p62 :rule cong :premises (@p61) :args (@t26)) % 0.39/0.56 (step @p63 :rule nary_cong :premises (@p62 @p48 @p33) :args (@t27)) % 0.39/0.56 (step @p64 :rule aci_norm :args ((= (and @t26 true @t21 @t3) @t27))) % 0.39/0.56 (step @p65 :rule refl :args (@t3)) % 0.39/0.56 (step @p66 :rule refl :args (@t21)) % 0.39/0.56 (step @p67 :rule refl :args (@t26)) % 0.39/0.56 (step @p68 :rule nary_cong :premises (@p67 @p39 @p66 @p65) :args ((and @t26 (= @t5 @t5) @t21 @t3))) % 0.39/0.56 (step @p69 :rule trans :premises (@p68 @p64)) % 0.39/0.56 (step @p70 :rule eq-symm :args (@t4 tptp.x)) % 0.39/0.56 (step @p71 :rule eq-symm :args (@t5 tptp.y)) % 0.39/0.56 (step @p72 :rule refl :args (@t7)) % 0.39/0.56 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70 @p65) :args (@t8)) % 0.39/0.56 (step @p74 :rule bool-double-not-elim :args (@t8)) % 0.39/0.56 (step @p75 :rule trans :premises (@p74 @p73)) % 0.39/0.56 (step @p76 :rule eq_resolve :premises (@p1 @p75)) % 0.39/0.56 (step @p77 :rule and_elim :premises (@p76) :args (1)) % 0.39/0.56 (step @p78 :rule ho_cong :premises (@p15 @p77)) % 0.39/0.56 (step @p79 :rule cong :premises (@p47 @p78) :args (@t28)) % 0.39/0.56 (step @p80 :rule cong :premises (@p77 @p41) :args (@t29)) % 0.39/0.56 (step @p81 :rule cong :premises (@p47 @p77) :args (@t6)) % 0.39/0.56 (step @p82 :rule cong :premises (@p81) :args (@t7)) % 0.39/0.56 (step @p83 :rule nary_cong :premises (@p82 @p80 @p79 @p65) :args ((and @t7 @t29 @t28 @t3))) % 0.39/0.56 (step @p84 :rule trans :premises (@p83 @p69)) % 0.39/0.56 (step @p85 :rule trans :premises (@p75 @p84 @p63)) % 0.39/0.56 (step @p86 :rule eq_resolve :premises (@p1 @p85)) % 0.39/0.56 (step @p87 :rule and_elim :premises (@p86) :args (0)) % 0.39/0.56 (step @p88 :rule not_equiv_elim2 :premises (@p87)) % 0.39/0.56 (step @p89 :rule and_elim :premises (@p86) :args (1)) % 0.39/0.56 (step @p90 :rule equiv_elim1 :premises (@p89)) % 0.39/0.56 (step @p91 :rule reordering :premises (@p90) :args ((or @t18 @t30))) % 0.39/0.56 (step @p92 :rule equiv_elim1 :premises (@p58)) % 0.39/0.56 (step @p93 :rule reordering :premises (@p92) :args ((or @t22 @t30))) % 0.39/0.56 (step @p94 :rule eq-symm :args (@t23 @t17)) % 0.39/0.56 (step @p95 :rule refl :args (@t17)) % 0.39/0.56 (step @p96 :rule cong :premises (@p60 @p95) :args (@t20)) % 0.39/0.56 (step @p97 :rule trans :premises (@p96 @p94)) % 0.39/0.56 (step @p98 :rule eq-symm :args (@t17 @t5)) % 0.39/0.56 (step @p99 :rule trans :premises (@p98 @p97)) % 0.39/0.56 (step @p100 :rule eq_resolve :premises (@p40 @p99)) % 0.39/0.56 (step @p101 :rule equiv_elim1 :premises (@p100)) % 0.39/0.56 (step @p102 :rule reordering :premises (@p101) :args ((or @t23 @t31))) % 0.39/0.56 (step @p103 :rule and_elim :premises (@p86) :args (2)) % 0.39/0.56 (step @p104 :rule equiv_elim1 :premises (@p103)) % 0.39/0.56 (step @p105 :rule reordering :premises (@p104) :args ((or @t10 @t32))) % 0.39/0.56 (step @p106 :rule bool-double-not-elim :args (@t23)) % 0.39/0.56 (step @p107 :rule refl :args (@t33)) % 0.39/0.56 (step @p108 :rule refl :args (@t32)) % 0.39/0.56 (step @p109 :rule refl :args (@t34)) % 0.39/0.56 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107 @p106) :args ((or @t34 @t32 @t33 (not @t35)))) % 0.39/0.56 (assume-push @p542 @t35) % 0.39/0.56 (assume-push @p543 @t22) % 0.39/0.56 (assume-push @p544 @t11) % 0.39/0.56 (assume-push @p545 @t12) % 0.39/0.56 (step @p115 :rule evaluate :args (@t36)) % 0.39/0.56 (step @p116 :rule false_intro :premises (@p542)) % 0.39/0.56 (step @p117 :rule true_intro :premises (@p543)) % 0.39/0.56 (step @p118 :rule symm :premises (@p117)) % 0.39/0.56 (step @p119 :rule true_intro :premises (@p544)) % 0.39/0.56 (step @p120 :rule trans :premises (@p119 @p118)) % 0.39/0.56 (step @p121 :rule cong :premises (@p120) :args (@t12)) % 0.39/0.56 (step @p122 :rule true_intro :premises (@p545)) % 0.39/0.56 (step @p123 :rule symm :premises (@p122)) % 0.39/0.56 (step @p124 :rule trans :premises (@p123 @p121 @p116)) % 0.39/0.56 (step @p125 false :rule eq_resolve :premises (@p124 @p115)) % 0.39/0.56 (step-pop @p546 :rule scope :premises (@p125)) % 0.39/0.56 (step-pop @p547 :rule scope :premises (@p546)) % 0.39/0.56 (step-pop @p548 :rule scope :premises (@p547)) % 0.39/0.56 (step-pop @p549 :rule scope :premises (@p548)) % 0.39/0.56 (step @p126 :rule process_scope :premises (@p549) :args (false)) % 0.39/0.56 (assume-push @p550 @t11) % 0.39/0.56 (assume-push @p551 @t12) % 0.39/0.56 (assume-push @p552 @t22) % 0.39/0.56 (assume-push @p553 @t35) % 0.39/0.56 (step @p135 :rule and_intro :premises (@p553 @p552 @p550 @p551)) % 0.39/0.56 (step-pop @p554 :rule scope :premises (@p135)) % 0.39/0.56 (step-pop @p555 :rule scope :premises (@p554)) % 0.39/0.56 (step-pop @p556 :rule scope :premises (@p555)) % 0.39/0.56 (step-pop @p557 :rule scope :premises (@p556)) % 0.39/0.56 (step @p136 :rule process_scope :premises (@p557) :args (@t37)) % 0.39/0.56 (step @p141 :rule implies_elim :premises (@p136)) % 0.39/0.56 (step @p142 :rule resolution :premises (@p141 @p126) :args (true @t37)) % 0.39/0.56 (step @p143 :rule not_and :premises (@p142)) % 0.39/0.56 (step @p144 :rule eq_resolve :premises (@p143 @p110)) % 0.39/0.56 (step @p145 :rule reordering :premises (@p144) :args ((or @t23 @t32 @t34 @t33))) % 0.39/0.56 (step @p146 :rule eq-symm :args (@t38 @t11)) % 0.39/0.56 (step @p147 :rule refl :args (@t11)) % 0.39/0.56 (step @p148 :rule refl :args (@t38)) % 0.39/0.56 (step @p149 :rule refl :args (@t39)) % 0.39/0.56 (step @p150 :rule cong :premises (@p149 @p148) :args ((= @t39 @t38))) % 0.39/0.56 (step @p151 :rule symm :premises (@p150)) % 0.39/0.56 (step @p152 :rule eq_resolve :premises (@p149 @p151)) % 0.39/0.56 (step @p153 :rule ho_cong :premises (@p29 @p58)) % 0.39/0.56 (step @p154 :rule trans :premises (@p153 @p152)) % 0.39/0.56 (step @p155 :rule cong :premises (@p154 @p147) :args (@t14)) % 0.39/0.56 (step @p156 :rule trans :premises (@p155 @p146)) % 0.39/0.56 (step @p157 :rule eq-symm :args (@t11 @t1)) % 0.39/0.56 (step @p158 :rule trans :premises (@p157 @p156)) % 0.39/0.56 (step @p159 :rule eq_resolve :premises (@p10 @p158)) % 0.39/0.56 (step @p160 :rule equiv_elim2 :premises (@p159)) % 0.39/0.56 (step @p161 :rule bool-double-not-elim :args (@t38)) % 0.39/0.56 (step @p162 :rule refl :args (@t40)) % 0.39/0.56 (step @p163 :rule refl :args (@t41)) % 0.39/0.56 (step @p164 :rule nary_cong :premises (@p163 @p162 @p107 @p161) :args ((or @t41 @t40 @t33 @t43))) % 0.39/0.56 (assume-push @p558 @t42) % 0.39/0.56 (assume-push @p559 @t22) % 0.39/0.56 (assume-push @p560 @t9) 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:rule scope :premises (@p452)) % 0.39/0.56 (step-pop @p665 :rule scope :premises (@p664)) % 0.39/0.56 (step-pop @p666 :rule scope :premises (@p665)) % 0.39/0.56 (step @p453 :rule process_scope :premises (@p666) :args (@t60)) % 0.39/0.56 (step @p457 :rule and_intro :premises (@p660 @p659 @p658)) % 0.39/0.56 (step @p458 :rule modus_ponens :premises (@p457 @p453)) % 0.39/0.56 (step-pop @p667 :rule scope :premises (@p458)) % 0.39/0.56 (step-pop @p668 :rule scope :premises (@p667)) % 0.39/0.56 (step-pop @p669 :rule scope :premises (@p668)) % 0.39/0.56 (step @p459 :rule process_scope :premises (@p669) :args (@t60)) % 0.39/0.56 (step @p463 :rule implies_elim :premises (@p459)) % 0.39/0.56 (step @p464 :rule cnf_and_neg :args (@t63)) % 0.39/0.56 (step @p465 :rule resolution :premises (@p464 @p463) :args (true @t63)) % 0.39/0.56 (step @p466 :rule eq_resolve :premises (@p465 @p438)) % 0.39/0.56 (step @p467 :rule reordering :premises (@p466) :args ((or @t10 @t34 @t41 @t60))) % 0.39/0.56 (step @p468 :rule chain_m_resolution :premises (@p467 @p437 @p435) :args ((or @t34 @t41) (@list true false) (@list @t10 @t45))) % 0.39/0.56 (step @p469 :rule nary_cong :premises (@p280 @p279 @p215 @p403) :args ((or @t42 @t51 @t47 @t61))) % 0.39/0.56 (assume-push @p670 @t38) % 0.39/0.56 (assume-push @p671 @t33) % 0.39/0.56 (assume-push @p672 @t41) % 0.39/0.56 (assume-push @p673 @t40) % 0.39/0.56 (step @p286 :rule evaluate :args (@t52)) % 0.39/0.56 (step @p474 :rule true_intro :premises (@p670)) % 0.39/0.56 (step @p475 :rule false_intro :premises (@p671)) % 0.39/0.56 (step @p476 :rule symm :premises (@p475)) % 0.39/0.56 (step @p477 :rule false_intro :premises (@p672)) % 0.39/0.56 (step @p478 :rule trans :premises (@p477 @p476)) % 0.39/0.56 (step @p479 :rule cong :premises (@p478) :args (@t10)) % 0.39/0.56 (step @p480 :rule false_intro :premises (@p673)) % 0.39/0.56 (step @p481 :rule symm :premises (@p480)) % 0.39/0.56 (step @p482 :rule trans :premises (@p481 @p479 @p474)) % 0.39/0.56 (step @p483 false :rule eq_resolve :premises (@p482 @p286)) % 0.39/0.56 (step-pop @p674 :rule scope :premises (@p483)) % 0.39/0.56 (step-pop @p675 :rule scope :premises (@p674)) % 0.39/0.56 (step-pop @p676 :rule scope :premises (@p675)) % 0.39/0.56 (step-pop @p677 :rule scope :premises (@p676)) % 0.39/0.56 (step @p484 :rule process_scope :premises (@p677) :args (false)) % 0.39/0.56 (assume-push @p678 @t38) % 0.39/0.56 (assume-push @p679 @t40) % 0.39/0.56 (assume-push @p680 @t41) % 0.39/0.56 (assume-push @p681 @t33) % 0.39/0.56 (step @p493 :rule and_intro :premises (@p678 @p681 @p680 @p679)) % 0.39/0.56 (step-pop @p682 :rule scope :premises (@p493)) % 0.39/0.56 (step-pop @p683 :rule scope :premises (@p682)) % 0.39/0.56 (step-pop @p684 :rule scope :premises (@p683)) % 0.39/0.56 (step-pop @p685 :rule scope :premises (@p684)) % 0.39/0.56 (step @p494 :rule process_scope :premises (@p685) :args (@t64)) % 0.39/0.56 (step @p499 :rule implies_elim :premises (@p494)) % 0.39/0.56 (step @p500 :rule resolution :premises (@p499 @p484) :args (true @t64)) % 0.39/0.56 (step @p501 :rule not_and :premises (@p500)) % 0.39/0.56 (step @p502 :rule eq_resolve :premises (@p501 @p469)) % 0.39/0.56 (step @p503 :rule reordering :premises (@p502) :args ((or @t9 @t10 @t22 @t42))) % 0.39/0.56 (step @p504 :rule chain_m_resolution :premises (@p503 @p437 @p360 @p468 @p250) :args (@t34 @t65 (@list @t10 @t22 @t9 @t38))) % 0.39/0.56 (step @p505 :rule refl :args (@t35)) % 0.39/0.56 (step @p506 :rule nary_cong :premises (@p505 @p319 @p216 @p403) :args ((or @t35 @t55 @t48 @t61))) % 0.39/0.56 (assume-push @p686 @t23) % 0.39/0.56 (assume-push @p687 @t33) % 0.39/0.56 (assume-push @p688 @t34) % 0.39/0.56 (assume-push @p689 @t32) % 0.39/0.56 (step @p286 :rule evaluate :args (@t52)) % 0.39/0.56 (step @p511 :rule true_intro :premises (@p686)) % 0.39/0.56 (step @p512 :rule false_intro :premises (@p687)) % 0.39/0.56 (step @p513 :rule symm :premises (@p512)) % 0.39/0.56 (step @p514 :rule false_intro :premises (@p688)) % 0.39/0.56 (step @p515 :rule trans :premises (@p514 @p513)) % 0.39/0.56 (step @p516 :rule cong :premises (@p515) :args (@t12)) % 0.39/0.56 (step @p517 :rule false_intro :premises (@p689)) % 0.39/0.56 (step @p518 :rule symm :premises (@p517)) % 0.39/0.56 (step @p519 :rule trans :premises (@p518 @p516 @p511)) % 0.39/0.56 (step @p520 false :rule eq_resolve :premises (@p519 @p286)) % 0.39/0.56 (step-pop @p690 :rule scope :premises (@p520)) % 0.39/0.56 (step-pop @p691 :rule scope :premises (@p690)) % 0.39/0.56 (step-pop @p692 :rule scope :premises (@p691)) % 0.39/0.56 (step-pop @p693 :rule scope :premises (@p692)) % 0.39/0.56 (step @p521 :rule process_scope :premises (@p693) :args (false)) % 0.39/0.56 (assume-push @p694 @t23) % 0.39/0.56 (assume-push @p695 @t32) % 0.39/0.56 (assume-push @p696 @t34) % 0.39/0.56 (assume-push @p697 @t33) % 0.39/0.56 (step @p530 :rule and_intro :premises (@p694 @p697 @p696 @p695)) % 0.39/0.56 (step-pop @p698 :rule scope :premises (@p530)) % 0.39/0.56 (step-pop @p699 :rule scope :premises (@p698)) % 0.39/0.56 (step-pop @p700 :rule scope :premises (@p699)) % 0.39/0.56 (step-pop @p701 :rule scope :premises (@p700)) % 0.39/0.56 (step @p531 :rule process_scope :premises (@p701) :args (@t66)) % 0.39/0.56 (step @p536 :rule implies_elim :premises (@p531)) % 0.39/0.56 (step @p537 :rule resolution :premises (@p536 @p521) :args (true @t66)) % 0.39/0.56 (step @p538 :rule not_and :premises (@p537)) % 0.39/0.56 (step @p539 :rule eq_resolve :premises (@p538 @p506)) % 0.39/0.56 (step @p540 :rule reordering :premises (@p539) :args ((or @t11 @t12 @t22 @t35))) % 0.39/0.56 (step @p541 false :rule chain_m_resolution :premises (@p540 @p504 @p436 @p360 @p358) :args (false @t65 (@list @t11 @t12 @t22 @t23))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------