%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO039^2 : 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 : n012.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 09:11:50 AM UTC 2026 % Result : Theorem 0.17s 0.36s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYO039^2 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 23:52:03 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TH0 % 0.17/0.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.17/0.36 % SZS status Theorem % 0.17/0.36 % SZS output start Proof % 0.17/0.36 ( % 0.17/0.36 (declare-sort $$unsorted 0) % 0.17/0.36 (declare-const tptp.h (-> Bool $$unsorted)) % 0.17/0.36 (define @t1 () (_ tptp.h false)) % 0.17/0.36 (define @t2 () (not false)) % 0.17/0.36 (define @t3 () (= @t1 (_ tptp.h @t2))) % 0.17/0.36 (define @t4 () (= (_ tptp.h @t3) @t1)) % 0.17/0.36 (define @t5 () (not @t4)) % 0.17/0.36 (define @t6 () (@purify false)) % 0.17/0.36 (define @t7 () (tptp.h @t6)) % 0.17/0.36 (define @t8 () (= @t1 (_ tptp.h true))) % 0.17/0.36 (define @t9 () (@purify @t8)) % 0.17/0.36 (define @t10 () (tptp.h @t9)) % 0.17/0.36 (define @t11 () (_ tptp.h @t9)) % 0.17/0.36 (define @t12 () (= @t8 @t9)) % 0.17/0.36 (define @t13 () (_ tptp.h @t6)) % 0.17/0.36 (define @t14 () (not @t6)) % 0.17/0.36 (define @t15 () (_ tptp.h @t8)) % 0.17/0.36 (define @t16 () (= @t1 @t15)) % 0.17/0.36 (define @t17 () (@purify true)) % 0.17/0.36 (define @t18 () (tptp.h @t17)) % 0.17/0.36 (define @t19 () (= @t7 @t18)) % 0.17/0.36 (define @t20 () (_ tptp.h @t17)) % 0.17/0.36 (define @t21 () (not @t9)) % 0.17/0.36 (define @t22 () (= @t10 @t7)) % 0.17/0.36 (define @t23 () (and @t9 @t17 @t19)) % 0.17/0.36 (define @t24 () (and @t14 @t21)) % 0.17/0.36 (assume @p1 @t5) % 0.17/0.36 (assume @p2 true) % 0.17/0.36 (step @p3 :rule eq-symm :args (@t7 @t10)) % 0.17/0.36 (step @p4 :rule refl :args (@t10)) % 0.17/0.36 (step @p5 :rule refl :args (@t11)) % 0.17/0.36 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t11 @t10))) % 0.17/0.36 (step @p7 :rule symm :premises (@p6)) % 0.17/0.36 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.17/0.36 (step @p9 :rule eq-refl :args (@t8)) % 0.17/0.36 (step @p10 :rule skolem_intro :args (@t9)) % 0.17/0.36 (step @p11 :rule refl :args (@t8)) % 0.17/0.36 (step @p12 :rule cong :premises (@p11 @p10) :args (@t12)) % 0.17/0.36 (step @p13 :rule trans :premises (@p12 @p9)) % 0.17/0.36 (step @p14 :rule true_elim :premises (@p13)) % 0.17/0.36 (step @p15 :rule refl :args (tptp.h)) % 0.17/0.36 (step @p16 :rule ho_cong :premises (@p15 @p14)) % 0.17/0.36 (step @p17 :rule trans :premises (@p16 @p8)) % 0.17/0.36 (step @p18 :rule refl :args (@t7)) % 0.17/0.36 (step @p19 :rule refl :args (@t13)) % 0.17/0.36 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t13 @t7))) % 0.17/0.36 (step @p21 :rule symm :premises (@p20)) % 0.17/0.36 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.17/0.36 (step @p23 :rule evaluate :args (@t2)) % 0.17/0.36 (step @p24 :rule skolem_intro :args (@t6)) % 0.17/0.36 (step @p25 :rule cong :premises (@p24) :args (@t14)) % 0.17/0.36 (step @p26 :rule bool-eq-false :args (@t6)) % 0.17/0.36 (step @p27 :rule eq-symm :args (false @t6)) % 0.17/0.36 (step @p28 :rule trans :premises (@p27 @p26)) % 0.17/0.36 (step @p29 :rule trans :premises (@p28 @p25 @p23)) % 0.17/0.36 (step @p30 :rule true_elim :premises (@p29)) % 0.17/0.36 (step @p31 :rule ho_cong :premises (@p15 @p30)) % 0.17/0.36 (step @p32 :rule trans :premises (@p31 @p22)) % 0.17/0.36 (step @p33 :rule cong :premises (@p32 @p17) :args (@t16)) % 0.17/0.36 (step @p34 :rule trans :premises (@p33 @p3)) % 0.17/0.36 (step @p35 :rule cong :premises (@p34) :args ((not @t16))) % 0.17/0.36 (step @p36 :rule eq-symm :args (@t15 @t1)) % 0.17/0.36 (step @p37 :rule refl :args (@t1)) % 0.17/0.36 (step @p38 :rule ho_cong :premises (@p15 @p23)) % 0.17/0.36 (step @p39 :rule cong :premises (@p37 @p38) :args (@t3)) % 0.17/0.36 (step @p40 :rule ho_cong :premises (@p15 @p39)) % 0.17/0.36 (step @p41 :rule cong :premises (@p40 @p37) :args (@t4)) % 0.17/0.36 (step @p42 :rule trans :premises (@p41 @p36)) % 0.17/0.36 (step @p43 :rule cong :premises (@p42) :args (@t5)) % 0.17/0.36 (step @p44 :rule trans :premises (@p43 @p35)) % 0.17/0.36 (step @p45 :rule eq_resolve :premises (@p1 @p44)) % 0.17/0.36 (step @p46 :rule eq_resolve :premises (@p24 @p26)) % 0.17/0.36 (step @p47 :rule eq-symm :args (@t19 @t9)) % 0.17/0.36 (step @p48 :rule refl :args (@t9)) % 0.17/0.36 (step @p49 :rule refl :args (@t18)) % 0.17/0.36 (step @p50 :rule refl :args (@t20)) % 0.17/0.36 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t20 @t18))) % 0.17/0.36 (step @p52 :rule symm :premises (@p51)) % 0.17/0.36 (step @p53 :rule eq_resolve :premises (@p50 @p52)) % 0.17/0.36 (step @p54 :rule skolem_intro :args (@t17)) % 0.17/0.36 (step @p55 :rule symm :premises (@p54)) % 0.17/0.36 (step @p56 :rule ho_cong :premises (@p15 @p55)) % 0.17/0.36 (step @p57 :rule trans :premises (@p56 @p53)) % 0.17/0.36 (step @p58 :rule cong :premises (@p32 @p57) :args (@t8)) % 0.17/0.36 (step @p59 :rule cong :premises (@p58 @p48) :args (@t12)) % 0.17/0.36 (step @p60 :rule trans :premises (@p59 @p47)) % 0.17/0.36 (step @p61 :rule eq-symm :args (@t9 @t8)) % 0.17/0.36 (step @p62 :rule trans :premises (@p61 @p60)) % 0.17/0.36 (step @p63 :rule eq_resolve :premises (@p10 @p62)) % 0.17/0.36 (step @p64 :rule equiv_elim1 :premises (@p63)) % 0.17/0.36 (step @p65 :rule reordering :premises (@p64) :args ((or @t19 @t21))) % 0.17/0.36 (step @p66 :rule bool-eq-true :args (@t17)) % 0.17/0.36 (step @p67 :rule eq_resolve :premises (@p54 @p66)) % 0.17/0.36 (assume-push @p119 @t9) % 0.17/0.36 (assume-push @p120 @t17) % 0.17/0.36 (assume-push @p121 @t19) % 0.17/0.36 (assume-push @p122 @t19) % 0.17/0.36 (assume-push @p123 @t17) % 0.17/0.36 (assume-push @p124 @t9) % 0.17/0.36 (step @p74 :rule symm :premises (@p121)) % 0.17/0.36 (step @p75 :rule true_intro :premises (@p119)) % 0.17/0.36 (step @p76 :rule trans :premises (@p75 @p55)) % 0.17/0.36 (step @p77 :rule cong :premises (@p76) :args (@t10)) % 0.17/0.36 (step @p78 :rule trans :premises (@p77 @p74)) % 0.17/0.36 (step-pop @p125 :rule scope :premises (@p78)) % 0.17/0.36 (step-pop @p126 :rule scope :premises (@p125)) % 0.17/0.36 (step-pop @p127 :rule scope :premises (@p126)) % 0.17/0.36 (step @p79 :rule process_scope :premises (@p127) :args (@t22)) % 0.17/0.36 (step @p83 :rule and_intro :premises (@p121 @p67 @p119)) % 0.17/0.36 (step @p84 :rule modus_ponens :premises (@p83 @p79)) % 0.17/0.36 (step-pop @p128 :rule scope :premises (@p84)) % 0.17/0.36 (step-pop @p129 :rule scope :premises (@p128)) % 0.17/0.36 (step-pop @p130 :rule scope :premises (@p129)) % 0.17/0.36 (step @p85 :rule process_scope :premises (@p130) :args (@t22)) % 0.17/0.36 (step @p89 :rule implies_elim :premises (@p85)) % 0.17/0.36 (step @p90 :rule cnf_and_neg :args (@t23)) % 0.17/0.36 (step @p91 :rule resolution :premises (@p90 @p89) :args (true @t23)) % 0.17/0.36 (step @p92 :rule reordering :premises (@p91) :args ((or @t22 @t21 (not @t19) (not @t17)))) % 0.17/0.36 (step @p93 :rule chain_m_resolution :premises (@p92 @p67 @p45 @p65) :args (@t21 (@list false true false) (@list @t17 @t22 @t19))) % 0.17/0.36 (step @p94 :rule refl :args (@t22)) % 0.17/0.36 (step @p95 :rule bool-double-not-elim :args (@t9)) % 0.17/0.36 (step @p96 :rule bool-double-not-elim :args (@t6)) % 0.17/0.36 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94) :args ((or (not @t14) (not @t21) @t22))) % 0.17/0.36 (assume-push @p131 @t14) % 0.17/0.36 (assume-push @p132 @t21) % 0.17/0.36 (assume-push @p133 @t14) % 0.17/0.36 (assume-push @p134 @t21) % 0.17/0.36 (step @p102 :rule false_intro :premises (@p132)) % 0.17/0.36 (step @p103 :rule trans :premises (@p102 @p30)) % 0.17/0.36 (step @p104 :rule cong :premises (@p103) :args (@t10)) % 0.17/0.36 (step-pop @p135 :rule scope :premises (@p104)) % 0.17/0.36 (step-pop @p136 :rule scope :premises (@p135)) % 0.17/0.36 (step @p105 :rule process_scope :premises (@p136) :args (@t22)) % 0.17/0.36 (step @p108 :rule and_intro :premises (@p46 @p132)) % 0.17/0.36 (step @p109 :rule modus_ponens :premises (@p108 @p105)) % 0.17/0.36 (step-pop @p137 :rule scope :premises (@p109)) % 0.17/0.36 (step-pop @p138 :rule scope :premises (@p137)) % 0.17/0.36 (step @p110 :rule process_scope :premises (@p138) :args (@t22)) % 0.17/0.36 (step @p113 :rule implies_elim :premises (@p110)) % 0.17/0.36 (step @p114 :rule cnf_and_neg :args (@t24)) % 0.17/0.36 (step @p115 :rule resolution :premises (@p114 @p113) :args (true @t24)) % 0.17/0.36 (step @p116 :rule eq_resolve :premises (@p115 @p97)) % 0.17/0.36 (step @p117 :rule reordering :premises (@p116) :args ((or @t9 @t6 @t22))) % 0.17/0.36 (step @p118 false :rule chain_m_resolution :premises (@p117 @p93 @p46 @p45) :args (false (@list true true true) (@list @t9 @t6 @t22))) % 0.17/0.36 ) % 0.17/0.36 % SZS output end Proof % 0.17/0.36 % cvc5 exiting %------------------------------------------------------------------------------