%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO369^5 : 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 : 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 09:12:31 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO369^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 00:06:19 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.30/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-const tptp.cP (-> Bool Bool)) % 0.30/0.55 (declare-const tptp.cA Bool) % 0.30/0.55 (declare-const tptp.cB Bool) % 0.30/0.55 (define @t1 () (not tptp.cA)) % 0.30/0.55 (define @t2 () (or @t1 tptp.cB)) % 0.30/0.55 (define @t3 () (=> tptp.cA tptp.cB)) % 0.30/0.55 (define @t4 () (=> (_ tptp.cP @t3) (_ tptp.cP @t2))) % 0.30/0.55 (define @t5 () (not @t4)) % 0.30/0.55 (define @t6 () (@purify @t2)) % 0.30/0.55 (define @t7 () (tptp.cP @t6)) % 0.30/0.55 (define @t8 () (_ tptp.cP @t6)) % 0.30/0.55 (define @t9 () (@purify @t3)) % 0.30/0.55 (define @t10 () (tptp.cP @t9)) % 0.30/0.55 (define @t11 () (_ tptp.cP @t9)) % 0.30/0.55 (define @t12 () (not @t2)) % 0.30/0.55 (define @t13 () (not @t3)) % 0.30/0.55 (define @t14 () (not @t10)) % 0.30/0.55 (define @t15 () (not @t9)) % 0.30/0.55 (define @t16 () (not @t6)) % 0.30/0.55 (define @t17 () (not @t7)) % 0.30/0.55 (define @t18 () (not @t17)) % 0.30/0.55 (define @t19 () (= true false)) % 0.30/0.55 (define @t20 () (and @t17 @t6 @t9 @t10)) % 0.30/0.55 (define @t21 () (@list true false false false false false)) % 0.30/0.55 (define @t22 () (@list @t7 @t10 @t9 @t6 @t3 @t2)) % 0.30/0.55 (define @t23 () (@list true false)) % 0.30/0.55 (define @t24 () (@list tptp.cB tptp.cA)) % 0.30/0.55 (define @t25 () (@list true)) % 0.30/0.55 (define @t26 () (and @t17 @t16 @t15 @t10)) % 0.30/0.55 (assume @p1 @t5) % 0.30/0.55 (assume @p2 true) % 0.30/0.55 (step @p3 :rule refl :args (@t7)) % 0.30/0.55 (step @p4 :rule refl :args (@t8)) % 0.30/0.55 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t8 @t7))) % 0.30/0.55 (step @p6 :rule symm :premises (@p5)) % 0.30/0.55 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.30/0.55 (step @p8 :rule eq-refl :args (@t2)) % 0.30/0.55 (step @p9 :rule skolem_intro :args (@t6)) % 0.30/0.55 (step @p10 :rule refl :args (@t2)) % 0.30/0.55 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t2 @t6))) % 0.30/0.55 (step @p12 :rule trans :premises (@p11 @p8)) % 0.30/0.55 (step @p13 :rule true_elim :premises (@p12)) % 0.30/0.55 (step @p14 :rule refl :args (tptp.cP)) % 0.30/0.55 (step @p15 :rule ho_cong :premises (@p14 @p13)) % 0.30/0.55 (step @p16 :rule trans :premises (@p15 @p7)) % 0.30/0.55 (step @p17 :rule refl :args (@t10)) % 0.30/0.55 (step @p18 :rule refl :args (@t11)) % 0.30/0.55 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t11 @t10))) % 0.30/0.55 (step @p20 :rule symm :premises (@p19)) % 0.30/0.55 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.30/0.55 (step @p22 :rule eq-refl :args (@t3)) % 0.30/0.55 (step @p23 :rule skolem_intro :args (@t9)) % 0.30/0.55 (step @p24 :rule refl :args (@t3)) % 0.30/0.55 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t3 @t9))) % 0.30/0.55 (step @p26 :rule trans :premises (@p25 @p22)) % 0.30/0.55 (step @p27 :rule true_elim :premises (@p26)) % 0.30/0.55 (step @p28 :rule ho_cong :premises (@p14 @p27)) % 0.30/0.55 (step @p29 :rule trans :premises (@p28 @p21)) % 0.30/0.55 (step @p30 :rule cong :premises (@p29 @p16) :args (@t4)) % 0.30/0.55 (step @p31 :rule cong :premises (@p30) :args (@t5)) % 0.30/0.55 (step @p32 :rule eq_resolve :premises (@p1 @p31)) % 0.30/0.55 (step @p33 :rule not_implies_elim1 :premises (@p32)) % 0.30/0.55 (step @p34 :rule not_implies_elim2 :premises (@p32)) % 0.30/0.55 (step @p35 :rule bool-double-not-elim :args (tptp.cA)) % 0.30/0.55 (step @p36 :rule nary_cong :premises (@p10 @p35) :args ((or @t2 (not @t1)))) % 0.30/0.55 (step @p37 :rule cnf_or_neg :args (@t2 0)) % 0.30/0.55 (step @p38 :rule eq_resolve :premises (@p37 @p36)) % 0.30/0.55 (step @p39 :rule reordering :premises (@p38) :args ((or tptp.cA @t2))) % 0.30/0.55 (step @p40 :rule cnf_implies_neg1 :args (@t3)) % 0.30/0.55 (step @p41 :rule reordering :premises (@p40) :args ((or tptp.cA @t3))) % 0.30/0.55 (step @p42 :rule equiv_elim1 :premises (@p13)) % 0.30/0.55 (step @p43 :rule reordering :premises (@p42) :args ((or @t6 @t12))) % 0.30/0.55 (step @p44 :rule equiv_elim1 :premises (@p27)) % 0.30/0.55 (step @p45 :rule reordering :premises (@p44) :args ((or @t9 @t13))) % 0.30/0.55 (step @p46 :rule bool-double-not-elim :args (@t7)) % 0.30/0.55 (step @p47 :rule refl :args (@t14)) % 0.30/0.55 (step @p48 :rule refl :args (@t15)) % 0.30/0.55 (step @p49 :rule refl :args (@t16)) % 0.30/0.55 (step @p50 :rule nary_cong :premises (@p49 @p48 @p47 @p46) :args ((or @t16 @t15 @t14 @t18))) % 0.30/0.55 (assume-push @p135 @t17) % 0.30/0.55 (assume-push @p136 @t6) % 0.30/0.55 (assume-push @p137 @t9) % 0.30/0.55 (assume-push @p138 @t10) % 0.30/0.55 (step @p55 :rule evaluate :args (@t19)) % 0.30/0.55 (step @p56 :rule false_intro :premises (@p34)) % 0.30/0.55 (step @p57 :rule true_intro :premises (@p136)) % 0.30/0.55 (step @p58 :rule symm :premises (@p57)) % 0.30/0.55 (step @p59 :rule true_intro :premises (@p137)) % 0.30/0.55 (step @p60 :rule trans :premises (@p59 @p58)) % 0.30/0.55 (step @p61 :rule cong :premises (@p60) :args (@t10)) % 0.30/0.55 (step @p62 :rule true_intro :premises (@p33)) % 0.30/0.55 (step @p63 :rule symm :premises (@p62)) % 0.30/0.55 (step @p64 :rule trans :premises (@p63 @p61 @p56)) % 0.30/0.55 (step @p65 false :rule eq_resolve :premises (@p64 @p55)) % 0.30/0.55 (step-pop @p139 :rule scope :premises (@p65)) % 0.30/0.55 (step-pop @p140 :rule scope :premises (@p139)) % 0.30/0.55 (step-pop @p141 :rule scope :premises (@p140)) % 0.30/0.55 (step-pop @p142 :rule scope :premises (@p141)) % 0.30/0.55 (step @p66 :rule process_scope :premises (@p142) :args (false)) % 0.30/0.55 (assume-push @p143 @t6) % 0.30/0.55 (assume-push @p144 @t9) % 0.30/0.55 (assume-push @p145 @t10) % 0.30/0.55 (assume-push @p146 @t17) % 0.30/0.55 (step @p75 :rule and_intro :premises (@p34 @p143 @p144 @p33)) % 0.30/0.55 (step-pop @p147 :rule scope :premises (@p75)) % 0.30/0.55 (step-pop @p148 :rule scope :premises (@p147)) % 0.30/0.55 (step-pop @p149 :rule scope :premises (@p148)) % 0.30/0.55 (step-pop @p150 :rule scope :premises (@p149)) % 0.30/0.55 (step @p76 :rule process_scope :premises (@p150) :args (@t20)) % 0.30/0.55 (step @p81 :rule implies_elim :premises (@p76)) % 0.30/0.55 (step @p82 :rule resolution :premises (@p81 @p66) :args (true @t20)) % 0.30/0.55 (step @p83 :rule not_and :premises (@p82)) % 0.30/0.55 (step @p84 :rule eq_resolve :premises (@p83 @p50)) % 0.30/0.55 (step @p85 :rule reordering :premises (@p84) :args ((or @t7 @t14 @t16 @t15))) % 0.30/0.55 (step @p86 :rule chain_m_resolution :premises (@p85 @p34 @p33 @p45 @p43 @p41 @p39) :args (tptp.cA @t21 @t22)) % 0.30/0.55 (step @p87 :rule cnf_or_neg :args (@t2 1)) % 0.30/0.55 (step @p88 :rule cnf_implies_neg2 :args (@t3)) % 0.30/0.55 (step @p89 :rule chain_m_resolution :premises (@p85 @p34 @p33 @p45 @p43 @p88 @p87) :args ((not tptp.cB) @t21 @t22)) % 0.30/0.55 (step @p90 :rule cnf_or_pos :args (@t2)) % 0.30/0.55 (step @p91 :rule reordering :premises (@p90) :args ((or tptp.cB @t1 @t12))) % 0.30/0.55 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p86) :args (@t12 @t23 @t24)) % 0.30/0.55 (step @p93 :rule equiv_elim2 :premises (@p13)) % 0.30/0.55 (step @p94 :rule chain_m_resolution :premises (@p93 @p92) :args (@t16 @t25 (@list @t2))) % 0.30/0.55 (step @p95 :rule cnf_implies_pos :args (@t3)) % 0.30/0.55 (step @p96 :rule reordering :premises (@p95) :args ((or tptp.cB @t1 @t13))) % 0.30/0.55 (step @p97 :rule chain_m_resolution :premises (@p96 @p89 @p86) :args (@t13 @t23 @t24)) % 0.30/0.55 (step @p98 :rule equiv_elim2 :premises (@p27)) % 0.30/0.55 (step @p99 :rule chain_m_resolution :premises (@p98 @p97) :args (@t15 @t25 (@list @t3))) % 0.30/0.55 (step @p100 :rule bool-double-not-elim :args (@t9)) % 0.30/0.55 (step @p101 :rule bool-double-not-elim :args (@t6)) % 0.30/0.55 (step @p102 :rule nary_cong :premises (@p47 @p46 @p101 @p100) :args ((or @t14 @t18 (not @t16) (not @t15)))) % 0.30/0.55 (assume-push @p151 @t17) % 0.30/0.55 (assume-push @p152 @t16) % 0.30/0.55 (assume-push @p153 @t15) % 0.30/0.55 (assume-push @p154 @t10) % 0.30/0.55 (step @p55 :rule evaluate :args (@t19)) % 0.30/0.55 (step @p56 :rule false_intro :premises (@p34)) % 0.30/0.55 (step @p107 :rule false_intro :premises (@p152)) % 0.30/0.55 (step @p108 :rule symm :premises (@p107)) % 0.30/0.55 (step @p109 :rule false_intro :premises (@p153)) % 0.30/0.55 (step @p110 :rule trans :premises (@p109 @p108)) % 0.30/0.55 (step @p111 :rule cong :premises (@p110) :args (@t10)) % 0.30/0.55 (step @p62 :rule true_intro :premises (@p33)) % 0.30/0.55 (step @p63 :rule symm :premises (@p62)) % 0.30/0.55 (step @p112 :rule trans :premises (@p63 @p111 @p56)) % 0.30/0.55 (step @p113 false :rule eq_resolve :premises (@p112 @p55)) % 0.30/0.55 (step-pop @p155 :rule scope :premises (@p113)) % 0.30/0.55 (step-pop @p156 :rule scope :premises (@p155)) % 0.30/0.55 (step-pop @p157 :rule scope :premises (@p156)) % 0.30/0.55 (step-pop @p158 :rule scope :premises (@p157)) % 0.30/0.55 (step @p114 :rule process_scope :premises (@p158) :args (false)) % 0.30/0.55 (assume-push @p159 @t10) % 0.30/0.55 (assume-push @p160 @t17) % 0.30/0.55 (assume-push @p161 @t16) % 0.30/0.55 (assume-push @p162 @t15) % 0.30/0.55 (step @p123 :rule and_intro :premises (@p34 @p161 @p162 @p33)) % 0.30/0.55 (step-pop @p163 :rule scope :premises (@p123)) % 0.30/0.55 (step-pop @p164 :rule scope :premises (@p163)) % 0.30/0.55 (step-pop @p165 :rule scope :premises (@p164)) % 0.30/0.55 (step-pop @p166 :rule scope :premises (@p165)) % 0.30/0.55 (step @p124 :rule process_scope :premises (@p166) :args (@t26)) % 0.30/0.55 (step @p129 :rule implies_elim :premises (@p124)) % 0.30/0.55 (step @p130 :rule resolution :premises (@p129 @p114) :args (true @t26)) % 0.30/0.55 (step @p131 :rule not_and :premises (@p130)) % 0.30/0.55 (step @p132 :rule eq_resolve :premises (@p131 @p102)) % 0.30/0.55 (step @p133 :rule reordering :premises (@p132) :args ((or @t6 @t7 @t9 @t14))) % 0.30/0.55 (step @p134 false :rule chain_m_resolution :premises (@p133 @p99 @p94 @p34 @p33) :args (false (@list true true true false) (@list @t9 @t6 @t7 @t10))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------