%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO345^5 : 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 : n001.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 09:12:27 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO345^5 : 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 % 0.18/0.35 % Computer : n001.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 00:05:05 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.37/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.cH (-> Bool $$unsorted)) % 0.37/0.56 (define @t1 () (_ tptp.cH false)) % 0.37/0.56 (define @t2 () (_ tptp.cH true)) % 0.37/0.56 (define @t3 () (= (_ tptp.cH (= @t2 @t1)) @t1)) % 0.37/0.56 (define @t4 () (not @t3)) % 0.37/0.56 (define @t5 () (@purify false)) % 0.37/0.56 (define @t6 () (tptp.cH @t5)) % 0.37/0.56 (define @t7 () (= @t1 @t2)) % 0.37/0.56 (define @t8 () (@purify @t7)) % 0.37/0.56 (define @t9 () (tptp.cH @t8)) % 0.37/0.56 (define @t10 () (_ tptp.cH @t8)) % 0.37/0.56 (define @t11 () (= @t7 @t8)) % 0.37/0.56 (define @t12 () (_ tptp.cH @t5)) % 0.37/0.56 (define @t13 () (not @t5)) % 0.37/0.56 (define @t14 () (_ tptp.cH @t7)) % 0.37/0.56 (define @t15 () (= @t1 @t14)) % 0.37/0.56 (define @t16 () (@purify true)) % 0.37/0.56 (define @t17 () (tptp.cH @t16)) % 0.37/0.56 (define @t18 () (= @t6 @t17)) % 0.37/0.56 (define @t19 () (_ tptp.cH @t16)) % 0.37/0.56 (define @t20 () (not @t8)) % 0.37/0.56 (define @t21 () (= @t9 @t6)) % 0.37/0.56 (define @t22 () (and @t8 @t16 @t18)) % 0.37/0.56 (define @t23 () (and @t13 @t20)) % 0.37/0.56 (assume @p1 @t4) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule eq-symm :args (@t6 @t9)) % 0.37/0.56 (step @p4 :rule refl :args (@t9)) % 0.37/0.56 (step @p5 :rule refl :args (@t10)) % 0.37/0.56 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t10 @t9))) % 0.37/0.56 (step @p7 :rule symm :premises (@p6)) % 0.37/0.56 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.37/0.56 (step @p9 :rule eq-refl :args (@t7)) % 0.37/0.56 (step @p10 :rule skolem_intro :args (@t8)) % 0.37/0.56 (step @p11 :rule refl :args (@t7)) % 0.37/0.56 (step @p12 :rule cong :premises (@p11 @p10) :args (@t11)) % 0.37/0.56 (step @p13 :rule trans :premises (@p12 @p9)) % 0.37/0.56 (step @p14 :rule true_elim :premises (@p13)) % 0.37/0.56 (step @p15 :rule refl :args (tptp.cH)) % 0.37/0.56 (step @p16 :rule ho_cong :premises (@p15 @p14)) % 0.37/0.56 (step @p17 :rule trans :premises (@p16 @p8)) % 0.37/0.56 (step @p18 :rule refl :args (@t6)) % 0.37/0.56 (step @p19 :rule refl :args (@t12)) % 0.37/0.56 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t12 @t6))) % 0.37/0.56 (step @p21 :rule symm :premises (@p20)) % 0.37/0.56 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.37/0.56 (step @p23 :rule evaluate :args ((not false))) % 0.37/0.56 (step @p24 :rule skolem_intro :args (@t5)) % 0.37/0.56 (step @p25 :rule cong :premises (@p24) :args (@t13)) % 0.37/0.56 (step @p26 :rule bool-eq-false :args (@t5)) % 0.37/0.56 (step @p27 :rule eq-symm :args (false @t5)) % 0.37/0.56 (step @p28 :rule trans :premises (@p27 @p26)) % 0.37/0.56 (step @p29 :rule trans :premises (@p28 @p25 @p23)) % 0.37/0.56 (step @p30 :rule true_elim :premises (@p29)) % 0.37/0.56 (step @p31 :rule ho_cong :premises (@p15 @p30)) % 0.37/0.56 (step @p32 :rule trans :premises (@p31 @p22)) % 0.37/0.56 (step @p33 :rule cong :premises (@p32 @p17) :args (@t15)) % 0.37/0.56 (step @p34 :rule trans :premises (@p33 @p3)) % 0.37/0.56 (step @p35 :rule cong :premises (@p34) :args ((not @t15))) % 0.37/0.56 (step @p36 :rule eq-symm :args (@t14 @t1)) % 0.37/0.56 (step @p37 :rule refl :args (@t1)) % 0.37/0.56 (step @p38 :rule eq-symm :args (@t2 @t1)) % 0.37/0.56 (step @p39 :rule ho_cong :premises (@p15 @p38)) % 0.37/0.56 (step @p40 :rule cong :premises (@p39 @p37) :args (@t3)) % 0.37/0.56 (step @p41 :rule trans :premises (@p40 @p36)) % 0.37/0.56 (step @p42 :rule cong :premises (@p41) :args (@t4)) % 0.37/0.56 (step @p43 :rule trans :premises (@p42 @p35)) % 0.37/0.56 (step @p44 :rule eq_resolve :premises (@p1 @p43)) % 0.37/0.56 (step @p45 :rule eq_resolve :premises (@p24 @p26)) % 0.37/0.56 (step @p46 :rule eq-symm :args (@t18 @t8)) % 0.37/0.56 (step @p47 :rule refl :args (@t8)) % 0.37/0.56 (step @p48 :rule refl :args (@t17)) % 0.37/0.56 (step @p49 :rule refl :args (@t19)) % 0.37/0.56 (step @p50 :rule cong :premises (@p49 @p48) :args ((= @t19 @t17))) % 0.37/0.56 (step @p51 :rule symm :premises (@p50)) % 0.37/0.56 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.37/0.56 (step @p53 :rule skolem_intro :args (@t16)) % 0.37/0.56 (step @p54 :rule symm :premises (@p53)) % 0.37/0.56 (step @p55 :rule ho_cong :premises (@p15 @p54)) % 0.37/0.56 (step @p56 :rule trans :premises (@p55 @p52)) % 0.37/0.56 (step @p57 :rule cong :premises (@p32 @p56) :args (@t7)) % 0.37/0.56 (step @p58 :rule cong :premises (@p57 @p47) :args (@t11)) % 0.37/0.56 (step @p59 :rule trans :premises (@p58 @p46)) % 0.37/0.56 (step @p60 :rule eq-symm :args (@t8 @t7)) % 0.37/0.56 (step @p61 :rule trans :premises (@p60 @p59)) % 0.37/0.56 (step @p62 :rule eq_resolve :premises (@p10 @p61)) % 0.37/0.56 (step @p63 :rule equiv_elim1 :premises (@p62)) % 0.37/0.56 (step @p64 :rule reordering :premises (@p63) :args ((or @t18 @t20))) % 0.37/0.56 (step @p65 :rule bool-eq-true :args (@t16)) % 0.37/0.56 (step @p66 :rule eq_resolve :premises (@p53 @p65)) % 0.37/0.56 (assume-push @p118 @t8) % 0.37/0.56 (assume-push @p119 @t16) % 0.37/0.56 (assume-push @p120 @t18) % 0.37/0.56 (assume-push @p121 @t18) % 0.37/0.56 (assume-push @p122 @t16) % 0.37/0.56 (assume-push @p123 @t8) % 0.37/0.56 (step @p73 :rule symm :premises (@p120)) % 0.37/0.56 (step @p74 :rule true_intro :premises (@p118)) % 0.37/0.56 (step @p75 :rule trans :premises (@p74 @p54)) % 0.37/0.56 (step @p76 :rule cong :premises (@p75) :args (@t9)) % 0.37/0.56 (step @p77 :rule trans :premises (@p76 @p73)) % 0.37/0.56 (step-pop @p124 :rule scope :premises (@p77)) % 0.37/0.56 (step-pop @p125 :rule scope :premises (@p124)) % 0.37/0.56 (step-pop @p126 :rule scope :premises (@p125)) % 0.37/0.56 (step @p78 :rule process_scope :premises (@p126) :args (@t21)) % 0.37/0.56 (step @p82 :rule and_intro :premises (@p120 @p66 @p118)) % 0.37/0.56 (step @p83 :rule modus_ponens :premises (@p82 @p78)) % 0.37/0.56 (step-pop @p127 :rule scope :premises (@p83)) % 0.37/0.56 (step-pop @p128 :rule scope :premises (@p127)) % 0.37/0.56 (step-pop @p129 :rule scope :premises (@p128)) % 0.37/0.56 (step @p84 :rule process_scope :premises (@p129) :args (@t21)) % 0.37/0.56 (step @p88 :rule implies_elim :premises (@p84)) % 0.37/0.56 (step @p89 :rule cnf_and_neg :args (@t22)) % 0.37/0.56 (step @p90 :rule resolution :premises (@p89 @p88) :args (true @t22)) % 0.37/0.56 (step @p91 :rule reordering :premises (@p90) :args ((or @t21 @t20 (not @t18) (not @t16)))) % 0.37/0.56 (step @p92 :rule chain_m_resolution :premises (@p91 @p66 @p44 @p64) :args (@t20 (@list false true false) (@list @t16 @t21 @t18))) % 0.37/0.56 (step @p93 :rule refl :args (@t21)) % 0.37/0.56 (step @p94 :rule bool-double-not-elim :args (@t8)) % 0.37/0.56 (step @p95 :rule bool-double-not-elim :args (@t5)) % 0.37/0.56 (step @p96 :rule nary_cong :premises (@p95 @p94 @p93) :args ((or (not @t13) (not @t20) @t21))) % 0.37/0.56 (assume-push @p130 @t13) % 0.37/0.56 (assume-push @p131 @t20) % 0.37/0.56 (assume-push @p132 @t13) % 0.37/0.56 (assume-push @p133 @t20) % 0.37/0.56 (step @p101 :rule false_intro :premises (@p131)) % 0.37/0.56 (step @p102 :rule trans :premises (@p101 @p30)) % 0.37/0.56 (step @p103 :rule cong :premises (@p102) :args (@t9)) % 0.37/0.56 (step-pop @p134 :rule scope :premises (@p103)) % 0.37/0.56 (step-pop @p135 :rule scope :premises (@p134)) % 0.37/0.56 (step @p104 :rule process_scope :premises (@p135) :args (@t21)) % 0.37/0.56 (step @p107 :rule and_intro :premises (@p45 @p131)) % 0.37/0.56 (step @p108 :rule modus_ponens :premises (@p107 @p104)) % 0.37/0.56 (step-pop @p136 :rule scope :premises (@p108)) % 0.37/0.56 (step-pop @p137 :rule scope :premises (@p136)) % 0.37/0.56 (step @p109 :rule process_scope :premises (@p137) :args (@t21)) % 0.37/0.56 (step @p112 :rule implies_elim :premises (@p109)) % 0.37/0.56 (step @p113 :rule cnf_and_neg :args (@t23)) % 0.37/0.56 (step @p114 :rule resolution :premises (@p113 @p112) :args (true @t23)) % 0.37/0.56 (step @p115 :rule eq_resolve :premises (@p114 @p96)) % 0.37/0.56 (step @p116 :rule reordering :premises (@p115) :args ((or @t8 @t5 @t21))) % 0.37/0.56 (step @p117 false :rule chain_m_resolution :premises (@p116 @p92 @p45 @p44) :args (false (@list true true true) (@list @t8 @t5 @t21))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------