%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN983^1 : TPTP v9.2.1. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 09:10:11 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 : SYN983^1 : TPTP v9.2.1. Released v3.6.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n008.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 : Tue Jun 2 23:50:48 EDT 2026 % 0.16/0.34 % 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.p (-> Bool Bool)) % 0.30/0.55 (declare-const tptp.a Bool) % 0.30/0.55 (declare-const tptp.b Bool) % 0.30/0.55 (define @t1 () (and tptp.a tptp.b)) % 0.30/0.55 (define @t2 () (and (_ tptp.p tptp.a) (_ tptp.p tptp.b))) % 0.30/0.55 (define @t3 () (=> @t2 (_ tptp.p @t1))) % 0.30/0.55 (define @t4 () (not @t3)) % 0.30/0.55 (define @t5 () (@purify @t1)) % 0.30/0.55 (define @t6 () (tptp.p @t5)) % 0.30/0.55 (define @t7 () (_ tptp.p @t5)) % 0.30/0.55 (define @t8 () (@purify tptp.b)) % 0.30/0.55 (define @t9 () (tptp.p @t8)) % 0.30/0.55 (define @t10 () (_ tptp.p @t8)) % 0.30/0.55 (define @t11 () (@purify tptp.a)) % 0.30/0.55 (define @t12 () (tptp.p @t11)) % 0.30/0.55 (define @t13 () (_ tptp.p @t11)) % 0.30/0.55 (define @t14 () (not tptp.a)) % 0.30/0.55 (define @t15 () (not @t12)) % 0.30/0.55 (define @t16 () (not @t11)) % 0.30/0.55 (define @t17 () (not @t5)) % 0.30/0.55 (define @t18 () (not @t6)) % 0.30/0.55 (define @t19 () (not @t18)) % 0.30/0.55 (define @t20 () (= false true)) % 0.30/0.55 (define @t21 () (and @t12 @t11 @t5 @t18)) % 0.30/0.55 (define @t22 () (not @t1)) % 0.30/0.55 (define @t23 () (not @t9)) % 0.30/0.55 (define @t24 () (not @t8)) % 0.30/0.55 (define @t25 () (not @t17)) % 0.30/0.55 (define @t26 () (and @t18 @t17 @t24 @t9)) % 0.30/0.55 (define @t27 () (@list true)) % 0.30/0.55 (define @t28 () (@list tptp.a)) % 0.30/0.55 (define @t29 () (and @t12 @t16 @t17 @t18)) % 0.30/0.55 (assume @p1 @t4) % 0.30/0.55 (assume @p2 true) % 0.30/0.55 (step @p3 :rule refl :args (@t6)) % 0.30/0.55 (step @p4 :rule refl :args (@t7)) % 0.30/0.55 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t7 @t6))) % 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 (@t1)) % 0.30/0.55 (step @p9 :rule skolem_intro :args (@t5)) % 0.30/0.55 (step @p10 :rule refl :args (@t1)) % 0.30/0.55 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t1 @t5))) % 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.p)) % 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 (@t9)) % 0.30/0.55 (step @p18 :rule refl :args (@t10)) % 0.30/0.55 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t10 @t9))) % 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 (tptp.b)) % 0.30/0.55 (step @p23 :rule skolem_intro :args (@t8)) % 0.30/0.55 (step @p24 :rule refl :args (tptp.b)) % 0.30/0.55 (step @p25 :rule cong :premises (@p24 @p23) :args ((= tptp.b @t8))) % 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 refl :args (@t12)) % 0.30/0.55 (step @p31 :rule refl :args (@t13)) % 0.30/0.55 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t13 @t12))) % 0.30/0.55 (step @p33 :rule symm :premises (@p32)) % 0.30/0.55 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.30/0.55 (step @p35 :rule eq-refl :args (tptp.a)) % 0.30/0.55 (step @p36 :rule skolem_intro :args (@t11)) % 0.30/0.55 (step @p37 :rule refl :args (tptp.a)) % 0.30/0.55 (step @p38 :rule cong :premises (@p37 @p36) :args ((= tptp.a @t11))) % 0.30/0.55 (step @p39 :rule trans :premises (@p38 @p35)) % 0.30/0.55 (step @p40 :rule true_elim :premises (@p39)) % 0.30/0.55 (step @p41 :rule ho_cong :premises (@p14 @p40)) % 0.30/0.55 (step @p42 :rule trans :premises (@p41 @p34)) % 0.30/0.55 (step @p43 :rule nary_cong :premises (@p42 @p29) :args (@t2)) % 0.30/0.55 (step @p44 :rule cong :premises (@p43 @p16) :args (@t3)) % 0.30/0.55 (step @p45 :rule cong :premises (@p44) :args (@t4)) % 0.30/0.55 (step @p46 :rule eq_resolve :premises (@p1 @p45)) % 0.30/0.55 (step @p47 :rule not_implies_elim1 :premises (@p46)) % 0.30/0.55 (step @p48 :rule and_elim :premises (@p47) :args (0)) % 0.30/0.55 (step @p49 :rule not_implies_elim2 :premises (@p46)) % 0.30/0.55 (step @p50 :rule equiv_elim1 :premises (@p40)) % 0.30/0.55 (step @p51 :rule reordering :premises (@p50) :args ((or @t11 @t14))) % 0.30/0.55 (step @p52 :rule bool-double-not-elim :args (@t6)) % 0.30/0.55 (step @p53 :rule refl :args (@t15)) % 0.30/0.55 (step @p54 :rule refl :args (@t16)) % 0.30/0.55 (step @p55 :rule refl :args (@t17)) % 0.30/0.55 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53 @p52) :args ((or @t17 @t16 @t15 @t19))) % 0.30/0.55 (assume-push @p177 @t12) % 0.30/0.55 (assume-push @p178 @t11) % 0.30/0.55 (assume-push @p179 @t5) % 0.30/0.55 (assume-push @p180 @t18) % 0.30/0.55 (step @p61 :rule evaluate :args (@t20)) % 0.30/0.55 (step @p62 :rule true_intro :premises (@p48)) % 0.30/0.55 (step @p63 :rule true_intro :premises (@p178)) % 0.30/0.55 (step @p64 :rule symm :premises (@p63)) % 0.30/0.55 (step @p65 :rule true_intro :premises (@p179)) % 0.30/0.55 (step @p66 :rule trans :premises (@p65 @p64)) % 0.30/0.55 (step @p67 :rule cong :premises (@p66) :args (@t6)) % 0.30/0.55 (step @p68 :rule false_intro :premises (@p49)) % 0.30/0.55 (step @p69 :rule symm :premises (@p68)) % 0.30/0.55 (step @p70 :rule trans :premises (@p69 @p67 @p62)) % 0.30/0.55 (step @p71 false :rule eq_resolve :premises (@p70 @p61)) % 0.30/0.55 (step-pop @p181 :rule scope :premises (@p71)) % 0.30/0.55 (step-pop @p182 :rule scope :premises (@p181)) % 0.30/0.55 (step-pop @p183 :rule scope :premises (@p182)) % 0.30/0.55 (step-pop @p184 :rule scope :premises (@p183)) % 0.30/0.55 (step @p72 :rule process_scope :premises (@p184) :args (false)) % 0.30/0.55 (assume-push @p185 @t5) % 0.30/0.55 (assume-push @p186 @t11) % 0.30/0.55 (assume-push @p187 @t12) % 0.30/0.55 (assume-push @p188 @t18) % 0.30/0.55 (step @p81 :rule and_intro :premises (@p48 @p186 @p185 @p49)) % 0.30/0.55 (step-pop @p189 :rule scope :premises (@p81)) % 0.30/0.55 (step-pop @p190 :rule scope :premises (@p189)) % 0.30/0.55 (step-pop @p191 :rule scope :premises (@p190)) % 0.30/0.55 (step-pop @p192 :rule scope :premises (@p191)) % 0.30/0.55 (step @p82 :rule process_scope :premises (@p192) :args (@t21)) % 0.30/0.55 (step @p87 :rule implies_elim :premises (@p82)) % 0.30/0.55 (step @p88 :rule resolution :premises (@p87 @p72) :args (true @t21)) % 0.30/0.55 (step @p89 :rule not_and :premises (@p88)) % 0.30/0.55 (step @p90 :rule eq_resolve :premises (@p89 @p56)) % 0.30/0.55 (step @p91 :rule reordering :premises (@p90) :args ((or @t6 @t15 @t17 @t16))) % 0.30/0.55 (step @p92 :rule equiv_elim1 :premises (@p13)) % 0.30/0.55 (step @p93 :rule reordering :premises (@p92) :args ((or @t5 @t22))) % 0.30/0.55 (step @p94 :rule cnf_and_neg :args (@t1)) % 0.30/0.55 (step @p95 :rule equiv_elim2 :premises (@p27)) % 0.30/0.55 (step @p96 :rule and_elim :premises (@p47) :args (1)) % 0.30/0.55 (step @p97 :rule bool-double-not-elim :args (@t8)) % 0.30/0.55 (step @p98 :rule bool-double-not-elim :args (@t5)) % 0.30/0.55 (step @p99 :rule refl :args (@t23)) % 0.30/0.55 (step @p100 :rule nary_cong :premises (@p99 @p52 @p98 @p97) :args ((or @t23 @t19 @t25 (not @t24)))) % 0.30/0.55 (assume-push @p193 @t18) % 0.30/0.55 (assume-push @p194 @t17) % 0.30/0.55 (assume-push @p195 @t24) % 0.30/0.55 (assume-push @p196 @t9) % 0.30/0.55 (step @p105 :rule evaluate :args ((= true false))) % 0.30/0.55 (step @p68 :rule false_intro :premises (@p49)) % 0.30/0.55 (step @p106 :rule false_intro :premises (@p194)) % 0.30/0.55 (step @p107 :rule symm :premises (@p106)) % 0.30/0.55 (step @p108 :rule false_intro :premises (@p195)) % 0.30/0.55 (step @p109 :rule trans :premises (@p108 @p107)) % 0.30/0.55 (step @p110 :rule cong :premises (@p109) :args (@t9)) % 0.30/0.55 (step @p111 :rule true_intro :premises (@p96)) % 0.30/0.55 (step @p112 :rule symm :premises (@p111)) % 0.30/0.55 (step @p113 :rule trans :premises (@p112 @p110 @p68)) % 0.30/0.55 (step @p114 false :rule eq_resolve :premises (@p113 @p105)) % 0.30/0.55 (step-pop @p197 :rule scope :premises (@p114)) % 0.30/0.55 (step-pop @p198 :rule scope :premises (@p197)) % 0.30/0.55 (step-pop @p199 :rule scope :premises (@p198)) % 0.30/0.55 (step-pop @p200 :rule scope :premises (@p199)) % 0.30/0.55 (step @p115 :rule process_scope :premises (@p200) :args (false)) % 0.30/0.55 (assume-push @p201 @t9) % 0.30/0.55 (assume-push @p202 @t18) % 0.30/0.55 (assume-push @p203 @t17) % 0.30/0.55 (assume-push @p204 @t24) % 0.30/0.55 (step @p124 :rule and_intro :premises (@p49 @p203 @p204 @p96)) % 0.30/0.55 (step-pop @p205 :rule scope :premises (@p124)) % 0.30/0.55 (step-pop @p206 :rule scope :premises (@p205)) % 0.30/0.55 (step-pop @p207 :rule scope :premises (@p206)) % 0.30/0.55 (step-pop @p208 :rule scope :premises (@p207)) % 0.30/0.55 (step @p125 :rule process_scope :premises (@p208) :args (@t26)) % 0.30/0.55 (step @p130 :rule implies_elim :premises (@p125)) % 0.30/0.55 (step @p131 :rule resolution :premises (@p130 @p115) :args (true @t26)) % 0.30/0.55 (step @p132 :rule not_and :premises (@p131)) % 0.30/0.55 (step @p133 :rule eq_resolve :premises (@p132 @p100)) % 0.30/0.55 (step @p134 :rule reordering :premises (@p133) :args ((or @t5 @t6 @t8 @t23))) % 0.30/0.55 (step @p135 :rule chain_m_resolution :premises (@p134 @p49 @p96 @p95 @p94 @p93 @p91 @p49 @p48 @p51) :args (@t14 (@list true false true true true true true false false) (@list @t6 @t9 @t8 tptp.b @t1 @t5 @t6 @t12 @t11))) % 0.30/0.55 (step @p136 :rule equiv_elim2 :premises (@p40)) % 0.30/0.55 (step @p137 :rule chain_m_resolution :premises (@p136 @p135) :args (@t16 @t27 @t28)) % 0.30/0.55 (step @p138 :rule cnf_and_pos :args (@t1 0)) % 0.30/0.55 (step @p139 :rule reordering :premises (@p138) :args ((or tptp.a @t22))) % 0.30/0.55 (step @p140 :rule chain_m_resolution :premises (@p139 @p135) :args (@t22 @t27 @t28)) % 0.30/0.55 (step @p141 :rule equiv_elim2 :premises (@p13)) % 0.30/0.55 (step @p142 :rule chain_m_resolution :premises (@p141 @p140) :args (@t17 @t27 (@list @t1))) % 0.30/0.56 (step @p143 :rule bool-double-not-elim :args (@t11)) % 0.30/0.56 (step @p144 :rule nary_cong :premises (@p53 @p52 @p98 @p143) :args ((or @t15 @t19 @t25 (not @t16)))) % 0.30/0.56 (assume-push @p209 @t12) % 0.30/0.56 (assume-push @p210 @t16) % 0.30/0.56 (assume-push @p211 @t17) % 0.30/0.56 (assume-push @p212 @t18) % 0.30/0.56 (step @p61 :rule evaluate :args (@t20)) % 0.30/0.56 (step @p62 :rule true_intro :premises (@p48)) % 0.30/0.56 (step @p149 :rule false_intro :premises (@p210)) % 0.30/0.56 (step @p150 :rule symm :premises (@p149)) % 0.30/0.56 (step @p151 :rule false_intro :premises (@p211)) % 0.30/0.56 (step @p152 :rule trans :premises (@p151 @p150)) % 0.30/0.56 (step @p153 :rule cong :premises (@p152) :args (@t6)) % 0.30/0.56 (step @p68 :rule false_intro :premises (@p49)) % 0.30/0.56 (step @p69 :rule symm :premises (@p68)) % 0.30/0.56 (step @p154 :rule trans :premises (@p69 @p153 @p62)) % 0.30/0.56 (step @p155 false :rule eq_resolve :premises (@p154 @p61)) % 0.30/0.56 (step-pop @p213 :rule scope :premises (@p155)) % 0.30/0.56 (step-pop @p214 :rule scope :premises (@p213)) % 0.30/0.56 (step-pop @p215 :rule scope :premises (@p214)) % 0.30/0.56 (step-pop @p216 :rule scope :premises (@p215)) % 0.30/0.56 (step @p156 :rule process_scope :premises (@p216) :args (false)) % 0.30/0.56 (assume-push @p217 @t12) % 0.30/0.56 (assume-push @p218 @t18) % 0.30/0.56 (assume-push @p219 @t17) % 0.30/0.56 (assume-push @p220 @t16) % 0.30/0.56 (step @p165 :rule and_intro :premises (@p48 @p220 @p219 @p49)) % 0.30/0.56 (step-pop @p221 :rule scope :premises (@p165)) % 0.30/0.56 (step-pop @p222 :rule scope :premises (@p221)) % 0.30/0.56 (step-pop @p223 :rule scope :premises (@p222)) % 0.30/0.56 (step-pop @p224 :rule scope :premises (@p223)) % 0.30/0.56 (step @p166 :rule process_scope :premises (@p224) :args (@t29)) % 0.30/0.56 (step @p171 :rule implies_elim :premises (@p166)) % 0.30/0.56 (step @p172 :rule resolution :premises (@p171 @p156) :args (true @t29)) % 0.30/0.56 (step @p173 :rule not_and :premises (@p172)) % 0.30/0.56 (step @p174 :rule eq_resolve :premises (@p173 @p144)) % 0.30/0.56 (step @p175 :rule reordering :premises (@p174) :args ((or @t5 @t6 @t11 @t15))) % 0.30/0.56 (step @p176 false :rule chain_m_resolution :premises (@p175 @p142 @p137 @p49 @p48) :args (false (@list true true true false) (@list @t5 @t11 @t6 @t12))) % 0.30/0.56 ) % 0.30/0.56 % SZS output end Proof % 0.34/0.56 % cvc5 exiting %------------------------------------------------------------------------------