%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO043^1 : 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 09:11:51 AM UTC 2026 % Result : Unsatisfiable 0.29s 0.53s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SYO043^1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.14/0.33 % Computer : n015.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Tue Jun 2 23:52:34 EDT 2026 % 0.14/0.33 % CPUTime : % 0.29/0.47 %----Proving TH0 % 0.29/0.49 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.29/0.53 % SZS status Unsatisfiable % 0.29/0.53 % SZS output start Proof % 0.29/0.54 ( % 0.29/0.54 (declare-const tptp.q (-> (-> Bool Bool) Bool Bool)) % 0.29/0.54 (declare-const tptp.f (-> Bool Bool)) % 0.29/0.54 (declare-const tptp.x Bool) % 0.29/0.54 (define @t1 () (_ tptp.f tptp.x)) % 0.29/0.54 (define @t2 () (_ tptp.q tptp.f)) % 0.29/0.54 (define @t3 () (_ @t2 tptp.x)) % 0.29/0.54 (define @t4 () (_ tptp.f @t3)) % 0.29/0.54 (define @t5 () (not (= @t4 @t1))) % 0.29/0.54 (define @t6 () (@purify @t1)) % 0.29/0.54 (define @t7 () (tptp.f @t6)) % 0.29/0.54 (define @t8 () (_ tptp.f @t6)) % 0.29/0.54 (define @t9 () (= @t1 @t6)) % 0.29/0.54 (define @t10 () (@purify tptp.x)) % 0.29/0.54 (define @t11 () (tptp.f @t10)) % 0.29/0.54 (define @t12 () (_ tptp.f @t10)) % 0.29/0.54 (define @t13 () (not @t6)) % 0.29/0.54 (define @t14 () (@purify @t3)) % 0.29/0.54 (define @t15 () (tptp.f @t14)) % 0.29/0.54 (define @t16 () (_ tptp.f @t14)) % 0.29/0.54 (define @t17 () (= @t3 @t14)) % 0.29/0.54 (define @t18 () (= @t1 @t4)) % 0.29/0.54 (define @t19 () (tptp.q tptp.f @t10)) % 0.29/0.54 (define @t20 () (_ @t2 @t10)) % 0.29/0.54 (define @t21 () (and @t6 @t7 @t14)) % 0.29/0.54 (define @t22 () (not @t14)) % 0.29/0.54 (define @t23 () (not @t7)) % 0.29/0.54 (define @t24 () (not @t11)) % 0.29/0.54 (define @t25 () (@list true)) % 0.29/0.54 (define @t26 () (not @t15)) % 0.29/0.54 (define @t27 () (not @t10)) % 0.29/0.54 (define @t28 () (not @t24)) % 0.29/0.54 (define @t29 () (= false true)) % 0.29/0.54 (define @t30 () (and @t15 @t14 @t10 @t24)) % 0.29/0.54 (define @t31 () (and @t7 @t13 @t27 @t24)) % 0.29/0.54 (assume @p1 (and @t3 (_ tptp.f @t1) @t5)) % 0.29/0.54 (step @p2 :rule refl :args (@t7)) % 0.29/0.54 (step @p3 :rule refl :args (@t8)) % 0.29/0.54 (step @p4 :rule cong :premises (@p3 @p2) :args ((= @t8 @t7))) % 0.29/0.54 (step @p5 :rule symm :premises (@p4)) % 0.29/0.54 (step @p6 :rule eq_resolve :premises (@p3 @p5)) % 0.29/0.54 (step @p7 :rule eq-refl :args (@t1)) % 0.29/0.54 (step @p8 :rule skolem_intro :args (@t6)) % 0.29/0.54 (step @p9 :rule refl :args (@t1)) % 0.29/0.54 (step @p10 :rule cong :premises (@p9 @p8) :args (@t9)) % 0.29/0.54 (step @p11 :rule trans :premises (@p10 @p7)) % 0.29/0.54 (step @p12 :rule true_elim :premises (@p11)) % 0.29/0.54 (step @p13 :rule refl :args (tptp.f)) % 0.29/0.54 (step @p14 :rule ho_cong :premises (@p13 @p12)) % 0.29/0.54 (step @p15 :rule trans :premises (@p14 @p6)) % 0.29/0.54 (step @p16 :rule and_elim :premises (@p1) :args (1)) % 0.29/0.54 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 0.29/0.54 (step @p18 :rule eq-symm :args (@t11 @t6)) % 0.29/0.54 (step @p19 :rule refl :args (@t6)) % 0.29/0.54 (step @p20 :rule refl :args (@t11)) % 0.29/0.54 (step @p21 :rule refl :args (@t12)) % 0.29/0.54 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t12 @t11))) % 0.29/0.54 (step @p23 :rule symm :premises (@p22)) % 0.29/0.54 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.29/0.54 (step @p25 :rule eq-refl :args (tptp.x)) % 0.29/0.54 (step @p26 :rule skolem_intro :args (@t10)) % 0.29/0.54 (step @p27 :rule refl :args (tptp.x)) % 0.29/0.54 (step @p28 :rule cong :premises (@p27 @p26) :args ((= tptp.x @t10))) % 0.29/0.54 (step @p29 :rule trans :premises (@p28 @p25)) % 0.29/0.54 (step @p30 :rule true_elim :premises (@p29)) % 0.29/0.54 (step @p31 :rule ho_cong :premises (@p13 @p30)) % 0.29/0.54 (step @p32 :rule trans :premises (@p31 @p24)) % 0.29/0.54 (step @p33 :rule cong :premises (@p32 @p19) :args (@t9)) % 0.29/0.54 (step @p34 :rule trans :premises (@p33 @p18)) % 0.29/0.54 (step @p35 :rule eq-symm :args (@t6 @t1)) % 0.29/0.54 (step @p36 :rule trans :premises (@p35 @p34)) % 0.29/0.54 (step @p37 :rule eq_resolve :premises (@p8 @p36)) % 0.29/0.54 (step @p38 :rule equiv_elim1 :premises (@p37)) % 0.29/0.54 (step @p39 :rule reordering :premises (@p38) :args ((or @t11 @t13))) % 0.29/0.54 (step @p40 :rule refl :args (@t15)) % 0.29/0.54 (step @p41 :rule refl :args (@t16)) % 0.29/0.54 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t16 @t15))) % 0.29/0.54 (step @p43 :rule symm :premises (@p42)) % 0.29/0.54 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.29/0.54 (step @p45 :rule eq-refl :args (@t3)) % 0.29/0.54 (step @p46 :rule skolem_intro :args (@t14)) % 0.29/0.54 (step @p47 :rule refl :args (@t3)) % 0.29/0.54 (step @p48 :rule cong :premises (@p47 @p46) :args (@t17)) % 0.29/0.54 (step @p49 :rule trans :premises (@p48 @p45)) % 0.29/0.54 (step @p50 :rule true_elim :premises (@p49)) % 0.29/0.54 (step @p51 :rule ho_cong :premises (@p13 @p50)) % 0.29/0.54 (step @p52 :rule trans :premises (@p51 @p44)) % 0.29/0.54 (step @p53 :rule cong :premises (@p32 @p52) :args (@t18)) % 0.29/0.54 (step @p54 :rule cong :premises (@p53) :args ((not @t18))) % 0.29/0.54 (step @p55 :rule eq-symm :args (@t4 @t1)) % 0.29/0.54 (step @p56 :rule cong :premises (@p55) :args (@t5)) % 0.29/0.54 (step @p57 :rule trans :premises (@p56 @p54)) % 0.29/0.54 (step @p58 :rule and_elim :premises (@p1) :args (2)) % 0.29/0.54 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.29/0.54 (step @p60 :rule not_equiv_elim2 :premises (@p59)) % 0.29/0.54 (step @p61 :rule refl :args (@t19)) % 0.29/0.54 (step @p62 :rule refl :args (@t20)) % 0.29/0.54 (step @p63 :rule cong :premises (@p62 @p61) :args ((= @t20 @t19))) % 0.29/0.54 (step @p64 :rule symm :premises (@p63)) % 0.29/0.54 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 0.29/0.54 (step @p66 :rule refl :args (@t2)) % 0.29/0.54 (step @p67 :rule ho_cong :premises (@p66 @p30)) % 0.29/0.54 (step @p68 :rule trans :premises (@p67 @p65)) % 0.29/0.54 (step @p69 :rule and_elim :premises (@p1) :args (0)) % 0.29/0.54 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.29/0.54 (step @p71 :rule refl :args (@t14)) % 0.29/0.54 (step @p72 :rule cong :premises (@p68 @p71) :args (@t17)) % 0.29/0.54 (step @p73 :rule eq-symm :args (@t14 @t3)) % 0.29/0.54 (step @p74 :rule trans :premises (@p73 @p72)) % 0.29/0.54 (step @p75 :rule eq_resolve :premises (@p46 @p74)) % 0.29/0.54 (step @p76 :rule equiv_elim1 :premises (@p75)) % 0.29/0.54 (step @p77 :rule reordering :premises (@p76) :args ((or @t14 (not @t19)))) % 0.29/0.54 (step @p78 :rule chain_m_resolution :premises (@p77 @p70) :args (@t14 (@list false) (@list @t19))) % 0.29/0.54 (assume-push @p190 @t6) % 0.29/0.54 (assume-push @p191 @t7) % 0.29/0.54 (assume-push @p192 @t14) % 0.29/0.54 (assume-push @p193 @t7) % 0.29/0.54 (assume-push @p194 @t6) % 0.29/0.54 (assume-push @p195 @t14) % 0.29/0.54 (step @p85 :rule true_intro :premises (@p17)) % 0.29/0.54 (step @p86 :rule true_intro :premises (@p190)) % 0.29/0.54 (step @p87 :rule symm :premises (@p86)) % 0.29/0.54 (step @p88 :rule true_intro :premises (@p78)) % 0.29/0.54 (step @p89 :rule trans :premises (@p88 @p87)) % 0.29/0.54 (step @p90 :rule cong :premises (@p89) :args (@t15)) % 0.29/0.54 (step @p91 :rule trans :premises (@p90 @p85)) % 0.29/0.54 (step @p92 :rule true_elim :premises (@p91)) % 0.29/0.54 (step-pop @p196 :rule scope :premises (@p92)) % 0.29/0.54 (step-pop @p197 :rule scope :premises (@p196)) % 0.29/0.54 (step-pop @p198 :rule scope :premises (@p197)) % 0.29/0.54 (step @p93 :rule process_scope :premises (@p198) :args (@t15)) % 0.29/0.54 (step @p97 :rule and_intro :premises (@p17 @p190 @p78)) % 0.29/0.54 (step @p98 :rule modus_ponens :premises (@p97 @p93)) % 0.29/0.54 (step-pop @p199 :rule scope :premises (@p98)) % 0.29/0.54 (step-pop @p200 :rule scope :premises (@p199)) % 0.29/0.54 (step-pop @p201 :rule scope :premises (@p200)) % 0.29/0.54 (step @p99 :rule process_scope :premises (@p201) :args (@t15)) % 0.29/0.54 (step @p103 :rule implies_elim :premises (@p99)) % 0.29/0.54 (step @p104 :rule cnf_and_neg :args (@t21)) % 0.29/0.54 (step @p105 :rule resolution :premises (@p104 @p103) :args (true @t21)) % 0.29/0.54 (step @p106 :rule reordering :premises (@p105) :args ((or @t15 @t23 @t13 @t22))) % 0.29/0.54 (step @p107 :rule chain_m_resolution :premises (@p106 @p78 @p17 @p60 @p39) :args (@t13 (@list false false true false) (@list @t14 @t7 @t15 @t11))) % 0.29/0.54 (step @p108 :rule equiv_elim2 :premises (@p37)) % 0.29/0.54 (step @p109 :rule chain_m_resolution :premises (@p108 @p107) :args (@t24 @t25 (@list @t6))) % 0.29/0.54 (step @p110 :rule not_equiv_elim1 :premises (@p59)) % 0.29/0.54 (step @p111 :rule chain_m_resolution :premises (@p110 @p109) :args (@t15 @t25 (@list @t11))) % 0.29/0.54 (step @p112 :rule bool-double-not-elim :args (@t11)) % 0.29/0.54 (step @p113 :rule refl :args (@t26)) % 0.29/0.54 (step @p114 :rule refl :args (@t22)) % 0.29/0.54 (step @p115 :rule refl :args (@t27)) % 0.29/0.54 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113 @p112) :args ((or @t27 @t22 @t26 @t28))) % 0.29/0.54 (assume-push @p202 @t15) % 0.29/0.54 (assume-push @p203 @t14) % 0.29/0.54 (assume-push @p204 @t10) % 0.29/0.54 (assume-push @p205 @t24) % 0.29/0.54 (step @p121 :rule evaluate :args (@t29)) % 0.29/0.54 (step @p122 :rule true_intro :premises (@p202)) % 0.29/0.54 (step @p88 :rule true_intro :premises (@p78)) % 0.29/0.54 (step @p123 :rule symm :premises (@p88)) % 0.29/0.54 (step @p124 :rule true_intro :premises (@p204)) % 0.29/0.54 (step @p125 :rule trans :premises (@p124 @p123)) % 0.29/0.54 (step @p126 :rule cong :premises (@p125) :args (@t11)) % 0.29/0.54 (step @p127 :rule false_intro :premises (@p205)) % 0.29/0.54 (step @p128 :rule symm :premises (@p127)) % 0.29/0.54 (step @p129 :rule trans :premises (@p128 @p126 @p122)) % 0.29/0.54 (step @p130 false :rule eq_resolve :premises (@p129 @p121)) % 0.29/0.54 (step-pop @p206 :rule scope :premises (@p130)) % 0.29/0.54 (step-pop @p207 :rule scope :premises (@p206)) % 0.29/0.54 (step-pop @p208 :rule scope :premises (@p207)) % 0.29/0.54 (step-pop @p209 :rule scope :premises (@p208)) % 0.29/0.54 (step @p131 :rule process_scope :premises (@p209) :args (false)) % 0.29/0.54 (assume-push @p210 @t10) % 0.29/0.54 (assume-push @p211 @t14) % 0.29/0.54 (assume-push @p212 @t15) % 0.29/0.54 (assume-push @p213 @t24) % 0.29/0.54 (step @p140 :rule and_intro :premises (@p212 @p78 @p210 @p213)) % 0.29/0.54 (step-pop @p214 :rule scope :premises (@p140)) % 0.29/0.54 (step-pop @p215 :rule scope :premises (@p214)) % 0.29/0.54 (step-pop @p216 :rule scope :premises (@p215)) % 0.29/0.54 (step-pop @p217 :rule scope :premises (@p216)) % 0.29/0.54 (step @p141 :rule process_scope :premises (@p217) :args (@t30)) % 0.29/0.54 (step @p146 :rule implies_elim :premises (@p141)) % 0.29/0.54 (step @p147 :rule resolution :premises (@p146 @p131) :args (true @t30)) % 0.29/0.54 (step @p148 :rule not_and :premises (@p147)) % 0.29/0.54 (step @p149 :rule eq_resolve :premises (@p148 @p116)) % 0.29/0.54 (step @p150 :rule reordering :premises (@p149) :args ((or @t11 @t26 @t27 @t22))) % 0.29/0.54 (step @p151 :rule chain_m_resolution :premises (@p150 @p109 @p111 @p78) :args (@t27 (@list true false false) (@list @t11 @t15 @t14))) % 0.29/0.54 (step @p152 :rule bool-double-not-elim :args (@t6)) % 0.29/0.54 (step @p153 :rule bool-double-not-elim :args (@t10)) % 0.29/0.54 (step @p154 :rule refl :args (@t23)) % 0.29/0.54 (step @p155 :rule nary_cong :premises (@p154 @p112 @p153 @p152) :args ((or @t23 @t28 (not @t27) (not @t13)))) % 0.29/0.54 (assume-push @p218 @t7) % 0.29/0.54 (assume-push @p219 @t13) % 0.29/0.54 (assume-push @p220 @t27) % 0.29/0.54 (assume-push @p221 @t24) % 0.29/0.54 (step @p121 :rule evaluate :args (@t29)) % 0.29/0.54 (step @p85 :rule true_intro :premises (@p17)) % 0.29/0.54 (step @p160 :rule false_intro :premises (@p219)) % 0.29/0.54 (step @p161 :rule symm :premises (@p160)) % 0.29/0.54 (step @p162 :rule false_intro :premises (@p220)) % 0.29/0.54 (step @p163 :rule trans :premises (@p162 @p161)) % 0.29/0.54 (step @p164 :rule cong :premises (@p163) :args (@t11)) % 0.29/0.54 (step @p165 :rule false_intro :premises (@p221)) % 0.29/0.54 (step @p166 :rule symm :premises (@p165)) % 0.29/0.54 (step @p167 :rule trans :premises (@p166 @p164 @p85)) % 0.29/0.54 (step @p168 false :rule eq_resolve :premises (@p167 @p121)) % 0.29/0.54 (step-pop @p222 :rule scope :premises (@p168)) % 0.29/0.54 (step-pop @p223 :rule scope :premises (@p222)) % 0.29/0.54 (step-pop @p224 :rule scope :premises (@p223)) % 0.29/0.54 (step-pop @p225 :rule scope :premises (@p224)) % 0.29/0.54 (step @p169 :rule process_scope :premises (@p225) :args (false)) % 0.29/0.54 (assume-push @p226 @t7) % 0.29/0.54 (assume-push @p227 @t24) % 0.29/0.54 (assume-push @p228 @t27) % 0.29/0.54 (assume-push @p229 @t13) % 0.29/0.54 (step @p178 :rule and_intro :premises (@p17 @p229 @p228 @p227)) % 0.29/0.54 (step-pop @p230 :rule scope :premises (@p178)) % 0.29/0.54 (step-pop @p231 :rule scope :premises (@p230)) % 0.29/0.54 (step-pop @p232 :rule scope :premises (@p231)) % 0.29/0.54 (step-pop @p233 :rule scope :premises (@p232)) % 0.29/0.54 (step @p179 :rule process_scope :premises (@p233) :args (@t31)) % 0.29/0.54 (step @p184 :rule implies_elim :premises (@p179)) % 0.29/0.54 (step @p185 :rule resolution :premises (@p184 @p169) :args (true @t31)) % 0.29/0.54 (step @p186 :rule not_and :premises (@p185)) % 0.29/0.54 (step @p187 :rule eq_resolve :premises (@p186 @p155)) % 0.29/0.54 (step @p188 :rule reordering :premises (@p187) :args ((or @t10 @t6 @t11 @t23))) % 0.29/0.54 (step @p189 false :rule chain_m_resolution :premises (@p188 @p151 @p109 @p107 @p17) :args (false (@list true true true false) (@list @t10 @t11 @t6 @t7))) % 0.29/0.54 ) % 0.29/0.54 % SZS output end Proof % 0.29/0.54 % cvc5 exiting %------------------------------------------------------------------------------