%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO012^1 : TPTP v9.2.1. Released v3.7.0. % 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 09:11:46 AM UTC 2026 % Result : Theorem 0.15s 0.36s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYO012^1 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 23:51:18 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.33 %----Proving TH0 % 0.15/0.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.36 % SZS status Theorem % 0.15/0.36 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (declare-const tptp.p (-> Bool Bool)) % 0.15/0.36 (declare-const tptp.b Bool) % 0.15/0.36 (declare-const tptp.a Bool) % 0.15/0.36 (define @t1 () (and tptp.b tptp.a)) % 0.15/0.36 (define @t2 () (and tptp.a tptp.b)) % 0.15/0.36 (define @t3 () (=> (_ tptp.p @t2) (_ tptp.p @t1))) % 0.15/0.36 (define @t4 () (not @t3)) % 0.15/0.36 (define @t5 () (@purify @t1)) % 0.15/0.36 (define @t6 () (tptp.p @t5)) % 0.15/0.36 (define @t7 () (_ tptp.p @t5)) % 0.15/0.36 (define @t8 () (@purify @t2)) % 0.15/0.36 (define @t9 () (tptp.p @t8)) % 0.15/0.36 (define @t10 () (_ tptp.p @t8)) % 0.15/0.36 (define @t11 () (not @t1)) % 0.15/0.36 (define @t12 () (not @t2)) % 0.15/0.36 (define @t13 () (not @t9)) % 0.15/0.36 (define @t14 () (not @t8)) % 0.15/0.36 (define @t15 () (not @t5)) % 0.15/0.36 (define @t16 () (not @t6)) % 0.15/0.36 (define @t17 () (not @t16)) % 0.15/0.36 (define @t18 () (= true false)) % 0.15/0.36 (define @t19 () (and @t16 @t15 @t14 @t9)) % 0.15/0.36 (define @t20 () (@list @t6 @t9 @t8 @t5 @t2 @t1)) % 0.15/0.36 (define @t21 () (not tptp.a)) % 0.15/0.36 (define @t22 () (not tptp.b)) % 0.15/0.36 (define @t23 () (and @t16 @t5 @t8 @t9)) % 0.15/0.36 (define @t24 () (@list true)) % 0.15/0.36 (define @t25 () (@list tptp.a)) % 0.15/0.36 (assume @p1 @t4) % 0.15/0.36 (assume @p2 true) % 0.15/0.36 (step @p3 :rule refl :args (@t6)) % 0.15/0.36 (step @p4 :rule refl :args (@t7)) % 0.15/0.36 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t7 @t6))) % 0.15/0.36 (step @p6 :rule symm :premises (@p5)) % 0.15/0.36 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.15/0.36 (step @p8 :rule eq-refl :args (@t1)) % 0.15/0.36 (step @p9 :rule skolem_intro :args (@t5)) % 0.15/0.36 (step @p10 :rule refl :args (@t1)) % 0.15/0.36 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t1 @t5))) % 0.15/0.36 (step @p12 :rule trans :premises (@p11 @p8)) % 0.15/0.36 (step @p13 :rule true_elim :premises (@p12)) % 0.15/0.36 (step @p14 :rule refl :args (tptp.p)) % 0.15/0.36 (step @p15 :rule ho_cong :premises (@p14 @p13)) % 0.15/0.36 (step @p16 :rule trans :premises (@p15 @p7)) % 0.15/0.36 (step @p17 :rule refl :args (@t9)) % 0.15/0.36 (step @p18 :rule refl :args (@t10)) % 0.15/0.36 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t10 @t9))) % 0.15/0.36 (step @p20 :rule symm :premises (@p19)) % 0.15/0.36 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.15/0.36 (step @p22 :rule eq-refl :args (@t2)) % 0.15/0.36 (step @p23 :rule skolem_intro :args (@t8)) % 0.15/0.36 (step @p24 :rule refl :args (@t2)) % 0.15/0.36 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t2 @t8))) % 0.15/0.36 (step @p26 :rule trans :premises (@p25 @p22)) % 0.15/0.36 (step @p27 :rule true_elim :premises (@p26)) % 0.15/0.36 (step @p28 :rule ho_cong :premises (@p14 @p27)) % 0.15/0.36 (step @p29 :rule trans :premises (@p28 @p21)) % 0.15/0.36 (step @p30 :rule cong :premises (@p29 @p16) :args (@t3)) % 0.15/0.36 (step @p31 :rule cong :premises (@p30) :args (@t4)) % 0.15/0.36 (step @p32 :rule eq_resolve :premises (@p1 @p31)) % 0.15/0.36 (step @p33 :rule not_implies_elim1 :premises (@p32)) % 0.15/0.36 (step @p34 :rule not_implies_elim2 :premises (@p32)) % 0.15/0.36 (step @p35 :rule cnf_and_pos :args (@t1 0)) % 0.15/0.36 (step @p36 :rule reordering :premises (@p35) :args ((or tptp.b @t11))) % 0.15/0.36 (step @p37 :rule cnf_and_pos :args (@t2 1)) % 0.15/0.36 (step @p38 :rule reordering :premises (@p37) :args ((or tptp.b @t12))) % 0.15/0.36 (step @p39 :rule equiv_elim2 :premises (@p13)) % 0.15/0.36 (step @p40 :rule equiv_elim2 :premises (@p27)) % 0.15/0.36 (step @p41 :rule bool-double-not-elim :args (@t8)) % 0.15/0.36 (step @p42 :rule bool-double-not-elim :args (@t5)) % 0.15/0.36 (step @p43 :rule bool-double-not-elim :args (@t6)) % 0.15/0.36 (step @p44 :rule refl :args (@t13)) % 0.15/0.36 (step @p45 :rule nary_cong :premises (@p44 @p43 @p42 @p41) :args ((or @t13 @t17 (not @t15) (not @t14)))) % 0.15/0.36 (assume-push @p134 @t16) % 0.15/0.36 (assume-push @p135 @t15) % 0.15/0.36 (assume-push @p136 @t14) % 0.15/0.36 (assume-push @p137 @t9) % 0.15/0.36 (step @p50 :rule evaluate :args (@t18)) % 0.15/0.36 (step @p51 :rule false_intro :premises (@p34)) % 0.15/0.36 (step @p52 :rule false_intro :premises (@p135)) % 0.15/0.36 (step @p53 :rule symm :premises (@p52)) % 0.15/0.36 (step @p54 :rule false_intro :premises (@p136)) % 0.15/0.36 (step @p55 :rule trans :premises (@p54 @p53)) % 0.15/0.36 (step @p56 :rule cong :premises (@p55) :args (@t9)) % 0.15/0.36 (step @p57 :rule true_intro :premises (@p33)) % 0.15/0.36 (step @p58 :rule symm :premises (@p57)) % 0.15/0.36 (step @p59 :rule trans :premises (@p58 @p56 @p51)) % 0.15/0.36 (step @p60 false :rule eq_resolve :premises (@p59 @p50)) % 0.15/0.36 (step-pop @p138 :rule scope :premises (@p60)) % 0.15/0.36 (step-pop @p139 :rule scope :premises (@p138)) % 0.15/0.36 (step-pop @p140 :rule scope :premises (@p139)) % 0.15/0.36 (step-pop @p141 :rule scope :premises (@p140)) % 0.15/0.36 (step @p61 :rule process_scope :premises (@p141) :args (false)) % 0.15/0.36 (assume-push @p142 @t9) % 0.15/0.36 (assume-push @p143 @t16) % 0.15/0.36 (assume-push @p144 @t15) % 0.15/0.36 (assume-push @p145 @t14) % 0.15/0.36 (step @p70 :rule and_intro :premises (@p34 @p144 @p145 @p33)) % 0.15/0.36 (step-pop @p146 :rule scope :premises (@p70)) % 0.15/0.36 (step-pop @p147 :rule scope :premises (@p146)) % 0.15/0.36 (step-pop @p148 :rule scope :premises (@p147)) % 0.15/0.36 (step-pop @p149 :rule scope :premises (@p148)) % 0.15/0.36 (step @p71 :rule process_scope :premises (@p149) :args (@t19)) % 0.15/0.36 (step @p76 :rule implies_elim :premises (@p71)) % 0.15/0.36 (step @p77 :rule resolution :premises (@p76 @p61) :args (true @t19)) % 0.15/0.36 (step @p78 :rule not_and :premises (@p77)) % 0.15/0.36 (step @p79 :rule eq_resolve :premises (@p78 @p45)) % 0.15/0.36 (step @p80 :rule reordering :premises (@p79) :args ((or @t5 @t6 @t8 @t13))) % 0.15/0.36 (step @p81 :rule chain_m_resolution :premises (@p80 @p34 @p33 @p40 @p39 @p38 @p36) :args (tptp.b (@list true false true true true true) @t20)) % 0.15/0.36 (step @p82 :rule cnf_and_neg :args (@t1)) % 0.15/0.36 (step @p83 :rule cnf_and_neg :args (@t2)) % 0.15/0.36 (step @p84 :rule reordering :premises (@p83) :args ((or @t2 @t22 @t21))) % 0.15/0.36 (step @p85 :rule equiv_elim1 :premises (@p13)) % 0.15/0.36 (step @p86 :rule reordering :premises (@p85) :args ((or @t5 @t11))) % 0.15/0.36 (step @p87 :rule equiv_elim1 :premises (@p27)) % 0.15/0.36 (step @p88 :rule reordering :premises (@p87) :args ((or @t8 @t12))) % 0.15/0.36 (step @p89 :rule refl :args (@t14)) % 0.15/0.36 (step @p90 :rule refl :args (@t15)) % 0.15/0.36 (step @p91 :rule nary_cong :premises (@p90 @p89 @p44 @p43) :args ((or @t15 @t14 @t13 @t17))) % 0.15/0.36 (assume-push @p150 @t16) % 0.15/0.36 (assume-push @p151 @t5) % 0.15/0.36 (assume-push @p152 @t8) % 0.15/0.36 (assume-push @p153 @t9) % 0.15/0.36 (step @p50 :rule evaluate :args (@t18)) % 0.15/0.36 (step @p51 :rule false_intro :premises (@p34)) % 0.15/0.36 (step @p96 :rule true_intro :premises (@p151)) % 0.15/0.36 (step @p97 :rule symm :premises (@p96)) % 0.15/0.36 (step @p98 :rule true_intro :premises (@p152)) % 0.15/0.36 (step @p99 :rule trans :premises (@p98 @p97)) % 0.15/0.36 (step @p100 :rule cong :premises (@p99) :args (@t9)) % 0.15/0.36 (step @p57 :rule true_intro :premises (@p33)) % 0.15/0.36 (step @p58 :rule symm :premises (@p57)) % 0.15/0.36 (step @p101 :rule trans :premises (@p58 @p100 @p51)) % 0.15/0.36 (step @p102 false :rule eq_resolve :premises (@p101 @p50)) % 0.15/0.36 (step-pop @p154 :rule scope :premises (@p102)) % 0.15/0.36 (step-pop @p155 :rule scope :premises (@p154)) % 0.15/0.36 (step-pop @p156 :rule scope :premises (@p155)) % 0.15/0.36 (step-pop @p157 :rule scope :premises (@p156)) % 0.15/0.36 (step @p103 :rule process_scope :premises (@p157) :args (false)) % 0.15/0.36 (assume-push @p158 @t5) % 0.15/0.36 (assume-push @p159 @t8) % 0.15/0.36 (assume-push @p160 @t9) % 0.15/0.36 (assume-push @p161 @t16) % 0.15/0.36 (step @p112 :rule and_intro :premises (@p34 @p158 @p159 @p33)) % 0.15/0.36 (step-pop @p162 :rule scope :premises (@p112)) % 0.15/0.36 (step-pop @p163 :rule scope :premises (@p162)) % 0.15/0.36 (step-pop @p164 :rule scope :premises (@p163)) % 0.15/0.36 (step-pop @p165 :rule scope :premises (@p164)) % 0.15/0.36 (step @p113 :rule process_scope :premises (@p165) :args (@t23)) % 0.15/0.36 (step @p118 :rule implies_elim :premises (@p113)) % 0.15/0.36 (step @p119 :rule resolution :premises (@p118 @p103) :args (true @t23)) % 0.15/0.36 (step @p120 :rule not_and :premises (@p119)) % 0.15/0.36 (step @p121 :rule eq_resolve :premises (@p120 @p91)) % 0.15/0.36 (step @p122 :rule reordering :premises (@p121) :args ((or @t6 @t13 @t15 @t14))) % 0.15/0.36 (step @p123 :rule chain_m_resolution :premises (@p122 @p34 @p33 @p88 @p86 @p84 @p82) :args ((or @t22 @t21) (@list true false false false false false) @t20)) % 0.15/0.36 (step @p124 :rule chain_m_resolution :premises (@p123 @p81) :args (@t21 (@list false) (@list tptp.b))) % 0.15/0.36 (step @p125 :rule cnf_and_pos :args (@t1 1)) % 0.15/0.36 (step @p126 :rule reordering :premises (@p125) :args ((or tptp.a @t11))) % 0.15/0.36 (step @p127 :rule chain_m_resolution :premises (@p126 @p124) :args (@t11 @t24 @t25)) % 0.15/0.36 (step @p128 :rule chain_m_resolution :premises (@p39 @p127) :args (@t15 @t24 (@list @t1))) % 0.15/0.36 (step @p129 :rule cnf_and_pos :args (@t2 0)) % 0.15/0.36 (step @p130 :rule reordering :premises (@p129) :args ((or tptp.a @t12))) % 0.15/0.36 (step @p131 :rule chain_m_resolution :premises (@p130 @p124) :args (@t12 @t24 @t25)) % 0.15/0.36 (step @p132 :rule chain_m_resolution :premises (@p40 @p131) :args (@t14 @t24 (@list @t2))) % 0.15/0.36 (step @p133 false :rule chain_m_resolution :premises (@p80 @p132 @p128 @p34 @p33) :args (false (@list true true true false) (@list @t8 @t5 @t6 @t9))) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------