%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO017^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 09:11:47 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO017^1 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:52:09 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.38/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-const tptp.h (-> Bool Bool)) % 0.38/0.56 (define @t1 () (_ tptp.h false)) % 0.38/0.56 (define @t2 () (_ tptp.h true)) % 0.38/0.56 (define @t3 () (_ tptp.h (= @t2 @t1))) % 0.38/0.56 (define @t4 () (not (= @t3 @t1))) % 0.38/0.56 (define @t5 () (@purify false)) % 0.38/0.56 (define @t6 () (tptp.h @t5)) % 0.38/0.56 (define @t7 () (= @t1 @t2)) % 0.38/0.56 (define @t8 () (@purify @t7)) % 0.38/0.56 (define @t9 () (tptp.h @t8)) % 0.38/0.56 (define @t10 () (_ tptp.h @t8)) % 0.38/0.56 (define @t11 () (= @t7 @t8)) % 0.38/0.56 (define @t12 () (_ tptp.h @t5)) % 0.38/0.56 (define @t13 () (not @t5)) % 0.38/0.56 (define @t14 () (= @t1 (_ tptp.h @t7))) % 0.38/0.56 (define @t15 () (@purify true)) % 0.38/0.56 (define @t16 () (tptp.h @t15)) % 0.38/0.56 (define @t17 () (= @t6 @t16)) % 0.38/0.56 (define @t18 () (_ tptp.h @t15)) % 0.38/0.56 (define @t19 () (not @t8)) % 0.38/0.56 (define @t20 () (not @t17)) % 0.38/0.56 (define @t21 () (not @t16)) % 0.38/0.56 (define @t22 () (and @t8 @t9 @t15)) % 0.38/0.56 (define @t23 () (not @t15)) % 0.38/0.56 (define @t24 () (not @t9)) % 0.38/0.56 (define @t25 () (not @t19)) % 0.38/0.56 (define @t26 () (not @t6)) % 0.38/0.56 (define @t27 () (not @t13)) % 0.38/0.56 (define @t28 () (and @t26 @t13 @t19 @t9)) % 0.38/0.56 (define @t29 () (not @t24)) % 0.38/0.56 (define @t30 () (and @t8 @t15 @t24)) % 0.38/0.56 (define @t31 () (and @t6 @t13 @t19 @t24)) % 0.38/0.56 (assume @p1 @t4) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 :rule bool-eq-false :args (@t5)) % 0.38/0.56 (step @p4 :rule skolem_intro :args (@t5)) % 0.38/0.56 (step @p5 :rule eq_resolve :premises (@p4 @p3)) % 0.38/0.56 (step @p6 :rule eq-symm :args (@t6 @t9)) % 0.38/0.56 (step @p7 :rule refl :args (@t9)) % 0.38/0.56 (step @p8 :rule refl :args (@t10)) % 0.38/0.56 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t10 @t9))) % 0.38/0.56 (step @p10 :rule symm :premises (@p9)) % 0.38/0.56 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 0.38/0.56 (step @p12 :rule eq-refl :args (@t7)) % 0.38/0.56 (step @p13 :rule skolem_intro :args (@t8)) % 0.38/0.56 (step @p14 :rule refl :args (@t7)) % 0.38/0.56 (step @p15 :rule cong :premises (@p14 @p13) :args (@t11)) % 0.38/0.56 (step @p16 :rule trans :premises (@p15 @p12)) % 0.38/0.56 (step @p17 :rule true_elim :premises (@p16)) % 0.38/0.56 (step @p18 :rule refl :args (tptp.h)) % 0.38/0.56 (step @p19 :rule ho_cong :premises (@p18 @p17)) % 0.38/0.56 (step @p20 :rule trans :premises (@p19 @p11)) % 0.38/0.56 (step @p21 :rule refl :args (@t6)) % 0.38/0.56 (step @p22 :rule refl :args (@t12)) % 0.38/0.56 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t12 @t6))) % 0.38/0.56 (step @p24 :rule symm :premises (@p23)) % 0.38/0.56 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.38/0.56 (step @p26 :rule evaluate :args ((not false))) % 0.38/0.56 (step @p27 :rule cong :premises (@p4) :args (@t13)) % 0.38/0.56 (step @p28 :rule bool-eq-false :args (@t5)) % 0.38/0.56 (step @p29 :rule eq-symm :args (false @t5)) % 0.38/0.56 (step @p30 :rule trans :premises (@p29 @p28)) % 0.38/0.56 (step @p31 :rule trans :premises (@p30 @p27 @p26)) % 0.38/0.56 (step @p32 :rule true_elim :premises (@p31)) % 0.38/0.56 (step @p33 :rule ho_cong :premises (@p18 @p32)) % 0.38/0.56 (step @p34 :rule trans :premises (@p33 @p25)) % 0.38/0.56 (step @p35 :rule cong :premises (@p34 @p20) :args (@t14)) % 0.38/0.56 (step @p36 :rule trans :premises (@p35 @p6)) % 0.38/0.56 (step @p37 :rule cong :premises (@p36) :args ((not @t14))) % 0.38/0.56 (step @p38 :rule eq-symm :args (@t2 @t1)) % 0.38/0.56 (step @p39 :rule ho_cong :premises (@p18 @p38)) % 0.38/0.56 (step @p40 :rule refl :args (@t1)) % 0.38/0.56 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t1 @t3))) % 0.38/0.56 (step @p42 :rule eq-symm :args (@t3 @t1)) % 0.38/0.56 (step @p43 :rule trans :premises (@p42 @p41)) % 0.38/0.56 (step @p44 :rule cong :premises (@p43) :args (@t4)) % 0.38/0.56 (step @p45 :rule trans :premises (@p44 @p37)) % 0.38/0.56 (step @p46 :rule eq_resolve :premises (@p1 @p45)) % 0.38/0.56 (step @p47 :rule not_equiv_elim2 :premises (@p46)) % 0.38/0.56 (step @p48 :rule eq-symm :args (@t17 @t8)) % 0.38/0.56 (step @p49 :rule refl :args (@t8)) % 0.38/0.56 (step @p50 :rule refl :args (@t16)) % 0.38/0.56 (step @p51 :rule refl :args (@t18)) % 0.38/0.56 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t18 @t16))) % 0.38/0.56 (step @p53 :rule symm :premises (@p52)) % 0.38/0.56 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.38/0.56 (step @p55 :rule skolem_intro :args (@t15)) % 0.38/0.56 (step @p56 :rule symm :premises (@p55)) % 0.38/0.56 (step @p57 :rule ho_cong :premises (@p18 @p56)) % 0.38/0.56 (step @p58 :rule trans :premises (@p57 @p54)) % 0.38/0.56 (step @p59 :rule cong :premises (@p34 @p58) :args (@t7)) % 0.38/0.56 (step @p60 :rule cong :premises (@p59 @p49) :args (@t11)) % 0.38/0.56 (step @p61 :rule trans :premises (@p60 @p48)) % 0.38/0.56 (step @p62 :rule eq-symm :args (@t8 @t7)) % 0.38/0.56 (step @p63 :rule trans :premises (@p62 @p61)) % 0.38/0.56 (step @p64 :rule eq_resolve :premises (@p13 @p63)) % 0.38/0.56 (step @p65 :rule equiv_elim1 :premises (@p64)) % 0.38/0.56 (step @p66 :rule reordering :premises (@p65) :args ((or @t17 @t19))) % 0.38/0.56 (step @p67 :rule cnf_equiv_pos2 :args (@t17)) % 0.38/0.56 (step @p68 :rule reordering :premises (@p67) :args ((or @t6 @t21 @t20))) % 0.38/0.56 (step @p69 :rule bool-eq-true :args (@t15)) % 0.38/0.56 (step @p70 :rule eq_resolve :premises (@p55 @p69)) % 0.38/0.56 (assume-push @p212 @t8) % 0.38/0.56 (assume-push @p213 @t9) % 0.38/0.56 (assume-push @p214 @t15) % 0.38/0.56 (assume-push @p215 @t9) % 0.38/0.56 (assume-push @p216 @t8) % 0.38/0.56 (assume-push @p217 @t15) % 0.38/0.56 (step @p77 :rule true_intro :premises (@p213)) % 0.38/0.56 (step @p78 :rule true_intro :premises (@p212)) % 0.38/0.56 (step @p79 :rule symm :premises (@p78)) % 0.38/0.56 (step @p80 :rule trans :premises (@p55 @p79)) % 0.38/0.56 (step @p81 :rule cong :premises (@p80) :args (@t16)) % 0.38/0.56 (step @p82 :rule trans :premises (@p81 @p77)) % 0.38/0.56 (step @p83 :rule true_elim :premises (@p82)) % 0.38/0.56 (step-pop @p218 :rule scope :premises (@p83)) % 0.38/0.56 (step-pop @p219 :rule scope :premises (@p218)) % 0.38/0.56 (step-pop @p220 :rule scope :premises (@p219)) % 0.38/0.56 (step @p84 :rule process_scope :premises (@p220) :args (@t16)) % 0.38/0.56 (step @p88 :rule and_intro :premises (@p213 @p212 @p70)) % 0.38/0.56 (step @p89 :rule modus_ponens :premises (@p88 @p84)) % 0.38/0.56 (step-pop @p221 :rule scope :premises (@p89)) % 0.38/0.56 (step-pop @p222 :rule scope :premises (@p221)) % 0.38/0.56 (step-pop @p223 :rule scope :premises (@p222)) % 0.38/0.56 (step @p90 :rule process_scope :premises (@p223) :args (@t16)) % 0.38/0.56 (step @p94 :rule implies_elim :premises (@p90)) % 0.38/0.56 (step @p95 :rule cnf_and_neg :args (@t22)) % 0.38/0.56 (step @p96 :rule resolution :premises (@p95 @p94) :args (true @t22)) % 0.38/0.56 (step @p97 :rule reordering :premises (@p96) :args ((or @t16 @t24 @t19 @t23))) % 0.38/0.56 (step @p98 :rule chain_m_resolution :premises (@p97 @p70 @p68 @p66 @p47) :args ((or @t24 @t19) (@list false true false true) (@list @t15 @t16 @t17 @t6))) % 0.38/0.56 (step @p99 :rule bool-double-not-elim :args (@t8)) % 0.38/0.56 (step @p100 :rule bool-double-not-elim :args (@t6)) % 0.38/0.56 (step @p101 :rule bool-double-not-elim :args (@t5)) % 0.38/0.56 (step @p102 :rule refl :args (@t24)) % 0.38/0.56 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100 @p99) :args ((or @t24 @t27 (not @t26) @t25))) % 0.38/0.56 (assume-push @p224 @t26) % 0.38/0.56 (assume-push @p225 @t13) % 0.38/0.56 (assume-push @p226 @t19) % 0.38/0.56 (assume-push @p227 @t9) % 0.38/0.56 (step @p108 :rule evaluate :args ((= true false))) % 0.38/0.56 (step @p109 :rule false_intro :premises (@p224)) % 0.38/0.56 (step @p110 :rule false_intro :premises (@p226)) % 0.38/0.56 (step @p111 :rule trans :premises (@p110 @p32)) % 0.38/0.56 (step @p112 :rule cong :premises (@p111) :args (@t9)) % 0.38/0.56 (step @p113 :rule true_intro :premises (@p227)) % 0.38/0.56 (step @p114 :rule symm :premises (@p113)) % 0.38/0.56 (step @p115 :rule trans :premises (@p114 @p112 @p109)) % 0.38/0.56 (step @p116 false :rule eq_resolve :premises (@p115 @p108)) % 0.38/0.56 (step-pop @p228 :rule scope :premises (@p116)) % 0.38/0.56 (step-pop @p229 :rule scope :premises (@p228)) % 0.38/0.56 (step-pop @p230 :rule scope :premises (@p229)) % 0.38/0.56 (step-pop @p231 :rule scope :premises (@p230)) % 0.38/0.56 (step @p117 :rule process_scope :premises (@p231) :args (false)) % 0.38/0.56 (assume-push @p232 @t9) % 0.38/0.56 (assume-push @p233 @t13) % 0.38/0.56 (assume-push @p234 @t26) % 0.38/0.56 (assume-push @p235 @t19) % 0.38/0.56 (step @p126 :rule and_intro :premises (@p234 @p5 @p235 @p232)) % 0.38/0.56 (step-pop @p236 :rule scope :premises (@p126)) % 0.38/0.56 (step-pop @p237 :rule scope :premises (@p236)) % 0.38/0.56 (step-pop @p238 :rule scope :premises (@p237)) % 0.38/0.56 (step-pop @p239 :rule scope :premises (@p238)) % 0.38/0.56 (step @p127 :rule process_scope :premises (@p239) :args (@t28)) % 0.38/0.56 (step @p132 :rule implies_elim :premises (@p127)) % 0.38/0.56 (step @p133 :rule resolution :premises (@p132 @p117) :args (true @t28)) % 0.38/0.56 (step @p134 :rule not_and :premises (@p133)) % 0.38/0.56 (step @p135 :rule eq_resolve :premises (@p134 @p103)) % 0.38/0.56 (step @p136 :rule reordering :premises (@p135) :args ((or @t8 @t5 @t6 @t24))) % 0.38/0.56 (step @p137 :rule chain_m_resolution :premises (@p136 @p5 @p98 @p47) :args (@t24 (@list true true true) (@list @t5 @t8 @t6))) % 0.38/0.56 (step @p138 :rule not_equiv_elim1 :premises (@p46)) % 0.38/0.56 (step @p139 :rule chain_m_resolution :premises (@p138 @p137) :args (@t6 (@list true) (@list @t9))) % 0.38/0.56 (step @p140 :rule cnf_equiv_pos1 :args (@t17)) % 0.38/0.56 (step @p141 :rule reordering :premises (@p140) :args ((or @t16 @t26 @t20))) % 0.38/0.56 (step @p142 :rule refl :args (@t21)) % 0.38/0.56 (step @p143 :rule bool-double-not-elim :args (@t9)) % 0.38/0.56 (step @p144 :rule refl :args (@t23)) % 0.38/0.56 (step @p145 :rule refl :args (@t19)) % 0.38/0.56 (step @p146 :rule nary_cong :premises (@p145 @p144 @p143 @p142) :args ((or @t19 @t23 @t29 @t21))) % 0.38/0.56 (assume-push @p240 @t8) % 0.38/0.56 (assume-push @p241 @t15) % 0.38/0.56 (assume-push @p242 @t24) % 0.38/0.56 (assume-push @p243 @t24) % 0.38/0.56 (assume-push @p244 @t8) % 0.38/0.56 (assume-push @p245 @t15) % 0.38/0.56 (step @p153 :rule false_intro :premises (@p242)) % 0.38/0.56 (step @p154 :rule true_intro :premises (@p240)) % 0.38/0.56 (step @p155 :rule symm :premises (@p154)) % 0.38/0.56 (step @p156 :rule trans :premises (@p55 @p155)) % 0.38/0.56 (step @p157 :rule cong :premises (@p156) :args (@t16)) % 0.38/0.56 (step @p158 :rule trans :premises (@p157 @p153)) % 0.38/0.56 (step @p159 :rule false_elim :premises (@p158)) % 0.38/0.56 (step-pop @p246 :rule scope :premises (@p159)) % 0.38/0.56 (step-pop @p247 :rule scope :premises (@p246)) % 0.38/0.56 (step-pop @p248 :rule scope :premises (@p247)) % 0.38/0.56 (step @p160 :rule process_scope :premises (@p248) :args (@t21)) % 0.38/0.56 (step @p164 :rule and_intro :premises (@p242 @p240 @p70)) % 0.38/0.56 (step @p165 :rule modus_ponens :premises (@p164 @p160)) % 0.38/0.56 (step-pop @p249 :rule scope :premises (@p165)) % 0.38/0.56 (step-pop @p250 :rule scope :premises (@p249)) % 0.38/0.56 (step-pop @p251 :rule scope :premises (@p250)) % 0.38/0.56 (step @p166 :rule process_scope :premises (@p251) :args (@t21)) % 0.38/0.56 (step @p170 :rule implies_elim :premises (@p166)) % 0.38/0.56 (step @p171 :rule cnf_and_neg :args (@t30)) % 0.38/0.56 (step @p172 :rule resolution :premises (@p171 @p170) :args (true @t30)) % 0.38/0.56 (step @p173 :rule eq_resolve :premises (@p172 @p146)) % 0.38/0.56 (step @p174 :rule reordering :premises (@p173) :args ((or @t9 @t19 @t21 @t23))) % 0.38/0.56 (step @p175 :rule chain_m_resolution :premises (@p174 @p137 @p70 @p141 @p139 @p66) :args (@t19 (@list true false false false false) (@list @t9 @t15 @t16 @t6 @t17))) % 0.38/0.56 (step @p176 :rule refl :args (@t26)) % 0.38/0.56 (step @p177 :rule nary_cong :premises (@p176 @p101 @p143 @p99) :args ((or @t26 @t27 @t29 @t25))) % 0.38/0.56 (assume-push @p252 @t6) % 0.38/0.56 (assume-push @p253 @t13) % 0.38/0.56 (assume-push @p254 @t19) % 0.38/0.56 (assume-push @p255 @t24) % 0.38/0.56 (step @p182 :rule evaluate :args ((= false true))) % 0.38/0.56 (step @p183 :rule true_intro :premises (@p252)) % 0.38/0.56 (step @p184 :rule false_intro :premises (@p254)) % 0.38/0.56 (step @p185 :rule trans :premises (@p184 @p32)) % 0.38/0.56 (step @p186 :rule cong :premises (@p185) :args (@t9)) % 0.38/0.56 (step @p187 :rule false_intro :premises (@p255)) % 0.38/0.56 (step @p188 :rule symm :premises (@p187)) % 0.38/0.56 (step @p189 :rule trans :premises (@p188 @p186 @p183)) % 0.38/0.56 (step @p190 false :rule eq_resolve :premises (@p189 @p182)) % 0.38/0.56 (step-pop @p256 :rule scope :premises (@p190)) % 0.38/0.56 (step-pop @p257 :rule scope :premises (@p256)) % 0.38/0.56 (step-pop @p258 :rule scope :premises (@p257)) % 0.38/0.56 (step-pop @p259 :rule scope :premises (@p258)) % 0.38/0.56 (step @p191 :rule process_scope :premises (@p259) :args (false)) % 0.38/0.56 (assume-push @p260 @t6) % 0.38/0.56 (assume-push @p261 @t13) % 0.38/0.56 (assume-push @p262 @t24) % 0.38/0.56 (assume-push @p263 @t19) % 0.38/0.56 (step @p200 :rule and_intro :premises (@p260 @p5 @p263 @p262)) % 0.38/0.56 (step-pop @p264 :rule scope :premises (@p200)) % 0.38/0.56 (step-pop @p265 :rule scope :premises (@p264)) % 0.38/0.56 (step-pop @p266 :rule scope :premises (@p265)) % 0.38/0.56 (step-pop @p267 :rule scope :premises (@p266)) % 0.38/0.56 (step @p201 :rule process_scope :premises (@p267) :args (@t31)) % 0.38/0.56 (step @p206 :rule implies_elim :premises (@p201)) % 0.38/0.56 (step @p207 :rule resolution :premises (@p206 @p191) :args (true @t31)) % 0.38/0.56 (step @p208 :rule not_and :premises (@p207)) % 0.38/0.56 (step @p209 :rule eq_resolve :premises (@p208 @p177)) % 0.38/0.56 (step @p210 :rule reordering :premises (@p209) :args ((or @t8 @t9 @t5 @t26))) % 0.38/0.56 (step @p211 false :rule chain_m_resolution :premises (@p210 @p175 @p139 @p137 @p5) :args (false (@list true false true true) (@list @t8 @t6 @t9 @t5))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------