%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ137^1 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:44:18 AM UTC 2026 % Result : Theorem 0.29s 0.55s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ137^1 : TPTP v9.2.1. Released v5.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.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 13:19:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.48 %----Proving TH0 % 0.29/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.29/0.55 % SZS status Theorem % 0.29/0.55 % SZS output start Proof % 0.29/0.55 ( % 0.29/0.55 (declare-sort $$unsorted 0) % 0.29/0.55 (declare-const tptp.says (-> $$unsorted Bool Bool)) % 0.29/0.55 (declare-const tptp.peter $$unsorted) % 0.29/0.55 (define @t1 () (@var "X" Bool)) % 0.29/0.55 (define @t2 () (not @t1)) % 0.29/0.55 (define @t3 () (_ tptp.says tptp.peter)) % 0.29/0.55 (define @t4 () (_ @t3 @t1)) % 0.29/0.55 (define @t5 () (@list @t1)) % 0.29/0.55 (define @t6 () (forall @t5 (=> @t4 @t2))) % 0.29/0.55 (define @t7 () (forall @t5 @t4)) % 0.29/0.55 (define @t8 () (not @t7)) % 0.29/0.55 (define @t9 () (tptp.says tptp.peter true)) % 0.29/0.55 (define @t10 () (not @t9)) % 0.29/0.55 (define @t11 () (@purify @t10)) % 0.29/0.55 (define @t12 () (tptp.says tptp.peter @t11)) % 0.29/0.55 (define @t13 () (_ @t3 @t11)) % 0.29/0.55 (define @t14 () (= @t10 @t11)) % 0.29/0.55 (define @t15 () (not true)) % 0.29/0.55 (define @t16 () (or @t10 @t15)) % 0.29/0.55 (define @t17 () (tptp.says tptp.peter @t1)) % 0.29/0.55 (define @t18 () (not @t17)) % 0.29/0.55 (define @t19 () (or @t2 @t18 @t2)) % 0.29/0.55 (define @t20 () (or @t18 @t2)) % 0.29/0.55 (define @t21 () (not @t4)) % 0.29/0.55 (define @t22 () (or @t21 @t2)) % 0.29/0.55 (define @t23 () (forall @t5 @t17)) % 0.29/0.55 (define @t24 () (@quantifiers_skolemize @t23 0)) % 0.29/0.55 (define @t25 () (@purify @t24)) % 0.29/0.55 (define @t26 () (tptp.says tptp.peter @t25)) % 0.29/0.55 (define @t27 () (not @t26)) % 0.29/0.55 (define @t28 () (not @t23)) % 0.29/0.55 (define @t29 () (tptp.says tptp.peter @t24)) % 0.29/0.55 (define @t30 () (not @t29)) % 0.29/0.55 (define @t31 () (@list true)) % 0.29/0.55 (define @t32 () (@purify true)) % 0.29/0.55 (define @t33 () (tptp.says tptp.peter @t32)) % 0.29/0.55 (define @t34 () (not @t33)) % 0.29/0.55 (define @t35 () (not @t11)) % 0.29/0.55 (define @t36 () (and @t11 @t12 @t32)) % 0.29/0.55 (define @t37 () (not @t32)) % 0.29/0.55 (define @t38 () (not @t12)) % 0.29/0.55 (define @t39 () (@list false false true)) % 0.29/0.55 (define @t40 () (not @t25)) % 0.29/0.55 (define @t41 () (not @t27)) % 0.29/0.55 (define @t42 () (= false true)) % 0.29/0.55 (define @t43 () (and @t33 @t32 @t25 @t27)) % 0.29/0.55 (define @t44 () (and @t12 @t35 @t40 @t27)) % 0.29/0.55 (assume @p1 (_ @t3 @t6)) % 0.29/0.55 (assume @p2 @t8) % 0.29/0.55 (assume @p3 true) % 0.29/0.55 (step @p4 :rule refl :args (@t12)) % 0.29/0.55 (step @p5 :rule refl :args (@t13)) % 0.29/0.55 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t13 @t12))) % 0.29/0.55 (step @p7 :rule symm :premises (@p6)) % 0.29/0.55 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.29/0.55 (step @p9 :rule eq-refl :args (@t10)) % 0.29/0.55 (step @p10 :rule skolem_intro :args (@t11)) % 0.29/0.55 (step @p11 :rule refl :args (@t10)) % 0.29/0.55 (step @p12 :rule cong :premises (@p11 @p10) :args (@t14)) % 0.29/0.55 (step @p13 :rule trans :premises (@p12 @p9)) % 0.29/0.55 (step @p14 :rule true_elim :premises (@p13)) % 0.29/0.55 (step @p15 :rule refl :args (@t3)) % 0.29/0.55 (step @p16 :rule ho_cong :premises (@p15 @p14)) % 0.29/0.55 (step @p17 :rule trans :premises (@p16 @p8)) % 0.29/0.55 (step @p18 :rule aci_norm :args ((= (or @t10 false) @t10))) % 0.29/0.55 (step @p19 :rule evaluate :args (@t15)) % 0.29/0.55 (step @p20 :rule nary_cong :premises (@p11 @p19) :args (@t16)) % 0.29/0.55 (step @p21 :rule trans :premises (@p20 @p18)) % 0.29/0.55 (step @p22 :rule quant-var-elim-eq :args ((= (forall @t5 (or (not (= @t1 true)) @t18 @t2)) @t16))) % 0.29/0.55 (step @p23 :rule refl :args (@t2)) % 0.29/0.55 (step @p24 :rule refl :args (@t18)) % 0.29/0.55 (step @p25 :rule bool-eq-true :args (@t1)) % 0.29/0.55 (step @p26 :rule symm :premises (@p25)) % 0.29/0.55 (step @p27 :rule cong :premises (@p26) :args (@t2)) % 0.29/0.55 (step @p28 :rule nary_cong :premises (@p27 @p24 @p23) :args (@t19)) % 0.29/0.55 (step @p29 :rule aci_norm :args ((= @t20 @t19))) % 0.29/0.55 (step @p30 :rule trans :premises (@p29 @p28)) % 0.29/0.55 (step @p31 :rule cong :premises (@p30) :args ((forall @t5 @t20))) % 0.29/0.55 (step @p32 :rule trans :premises (@p31 @p22)) % 0.29/0.55 (step @p33 :rule trans :premises (@p32 @p21)) % 0.29/0.55 (step @p34 :rule refl :args (@t17)) % 0.29/0.55 (step @p35 :rule refl :args (@t4)) % 0.29/0.55 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t4 @t17))) % 0.29/0.55 (step @p37 :rule symm :premises (@p36)) % 0.29/0.55 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 0.29/0.55 (step @p39 :rule cong :premises (@p38) :args (@t21)) % 0.29/0.55 (step @p40 :rule nary_cong :premises (@p39 @p23) :args (@t22)) % 0.29/0.55 (step @p41 :rule cong :premises (@p40) :args ((forall @t5 @t22))) % 0.29/0.55 (step @p42 :rule trans :premises (@p41 @p33)) % 0.29/0.55 (step @p43 :rule bool-impl-elim :args (@t4 @t2)) % 0.29/0.55 (step @p44 :rule cong :premises (@p43) :args (@t6)) % 0.29/0.55 (step @p45 :rule trans :premises (@p44 @p42)) % 0.29/0.55 (step @p46 :rule ho_cong :premises (@p15 @p45)) % 0.29/0.55 (step @p47 :rule trans :premises (@p46 @p17)) % 0.29/0.55 (step @p48 :rule eq_resolve :premises (@p1 @p47)) % 0.29/0.55 (step @p49 :rule cong :premises (@p38) :args (@t7)) % 0.29/0.55 (step @p50 :rule cong :premises (@p49) :args (@t8)) % 0.29/0.55 (step @p51 :rule eq_resolve :premises (@p2 @p50)) % 0.29/0.55 (step @p52 :rule refl :args (@t27)) % 0.29/0.55 (step @p53 :rule bool-double-not-elim :args (@t23)) % 0.29/0.55 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or (not @t28) @t27))) % 0.29/0.55 (step @p55 :rule eq-refl :args (@t24)) % 0.29/0.55 (step @p56 :rule skolem_intro :args (@t25)) % 0.29/0.55 (step @p57 :rule refl :args (@t24)) % 0.29/0.55 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t24 @t25))) % 0.29/0.55 (step @p59 :rule trans :premises (@p58 @p55)) % 0.29/0.55 (step @p60 :rule true_elim :premises (@p59)) % 0.29/0.55 (step @p61 :rule refl :args (tptp.peter)) % 0.29/0.55 (step @p62 :rule cong :premises (@p61 @p60) :args (@t29)) % 0.29/0.55 (step @p63 :rule cong :premises (@p62) :args (@t30)) % 0.29/0.55 (step @p64 :rule refl :args (@t28)) % 0.29/0.55 (step @p65 :rule cong :premises (@p64 @p63) :args ((=> @t28 @t30))) % 0.29/0.55 (assume-push @p197 @t28) % 0.29/0.55 (step @p67 :rule skolemize :premises (@p51)) % 0.29/0.55 (step-pop @p198 :rule scope :premises (@p67)) % 0.29/0.55 (step @p68 :rule process_scope :premises (@p198) :args (@t30)) % 0.29/0.55 (step @p70 :rule eq_resolve :premises (@p68 @p65)) % 0.29/0.55 (step @p71 :rule implies_elim :premises (@p70)) % 0.29/0.55 (step @p72 :rule eq_resolve :premises (@p71 @p54)) % 0.29/0.55 (step @p73 :rule chain_m_resolution :premises (@p72 @p51) :args (@t27 @t31 (@list @t23))) % 0.29/0.55 (step @p74 :rule eq-symm :args (@t34 @t11)) % 0.29/0.55 (step @p75 :rule refl :args (@t11)) % 0.29/0.55 (step @p76 :rule skolem_intro :args (@t32)) % 0.29/0.55 (step @p77 :rule symm :premises (@p76)) % 0.29/0.55 (step @p78 :rule cong :premises (@p61 @p77) :args (@t9)) % 0.29/0.55 (step @p79 :rule cong :premises (@p78) :args (@t10)) % 0.29/0.55 (step @p80 :rule cong :premises (@p79 @p75) :args (@t14)) % 0.29/0.55 (step @p81 :rule trans :premises (@p80 @p74)) % 0.29/0.55 (step @p82 :rule eq-symm :args (@t11 @t10)) % 0.29/0.55 (step @p83 :rule trans :premises (@p82 @p81)) % 0.29/0.55 (step @p84 :rule eq_resolve :premises (@p10 @p83)) % 0.29/0.55 (step @p85 :rule equiv_elim1 :premises (@p84)) % 0.29/0.55 (step @p86 :rule reordering :premises (@p85) :args ((or @t34 @t35))) % 0.29/0.55 (step @p87 :rule bool-eq-true :args (@t32)) % 0.29/0.55 (step @p88 :rule eq_resolve :premises (@p76 @p87)) % 0.29/0.55 (assume-push @p199 @t11) % 0.29/0.55 (assume-push @p200 @t12) % 0.29/0.55 (assume-push @p201 @t32) % 0.29/0.55 (assume-push @p202 @t12) % 0.29/0.55 (assume-push @p203 @t11) % 0.29/0.55 (assume-push @p204 @t32) % 0.29/0.55 (step @p95 :rule true_intro :premises (@p48)) % 0.29/0.55 (step @p96 :rule true_intro :premises (@p199)) % 0.29/0.55 (step @p97 :rule symm :premises (@p96)) % 0.29/0.55 (step @p98 :rule trans :premises (@p76 @p97)) % 0.29/0.55 (step @p99 :rule cong :premises (@p61 @p98) :args (@t33)) % 0.29/0.55 (step @p100 :rule trans :premises (@p99 @p95)) % 0.29/0.55 (step @p101 :rule true_elim :premises (@p100)) % 0.29/0.55 (step-pop @p205 :rule scope :premises (@p101)) % 0.29/0.55 (step-pop @p206 :rule scope :premises (@p205)) % 0.29/0.55 (step-pop @p207 :rule scope :premises (@p206)) % 0.29/0.55 (step @p102 :rule process_scope :premises (@p207) :args (@t33)) % 0.29/0.55 (step @p106 :rule and_intro :premises (@p48 @p199 @p88)) % 0.29/0.55 (step @p107 :rule modus_ponens :premises (@p106 @p102)) % 0.29/0.55 (step-pop @p208 :rule scope :premises (@p107)) % 0.29/0.55 (step-pop @p209 :rule scope :premises (@p208)) % 0.29/0.55 (step-pop @p210 :rule scope :premises (@p209)) % 0.29/0.55 (step @p108 :rule process_scope :premises (@p210) :args (@t33)) % 0.29/0.55 (step @p112 :rule implies_elim :premises (@p108)) % 0.29/0.55 (step @p113 :rule cnf_and_neg :args (@t36)) % 0.29/0.55 (step @p114 :rule resolution :premises (@p113 @p112) :args (true @t36)) % 0.29/0.55 (step @p115 :rule reordering :premises (@p114) :args ((or @t33 @t38 @t35 @t37))) % 0.29/0.55 (step @p116 :rule chain_m_resolution :premises (@p115 @p88 @p48 @p86) :args (@t35 @t39 (@list @t32 @t12 @t33))) % 0.29/0.55 (step @p117 :rule bool-double-not-elim :args (@t33)) % 0.29/0.55 (step @p118 :rule nary_cong :premises (@p75 @p117) :args ((or @t11 (not @t34)))) % 0.29/0.55 (step @p119 :rule equiv_elim2 :premises (@p84)) % 0.29/0.55 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 0.29/0.55 (step @p121 :rule chain_m_resolution :premises (@p120 @p116) :args (@t33 @t31 (@list @t11))) % 0.29/0.55 (step @p122 :rule bool-double-not-elim :args (@t26)) % 0.29/0.55 (step @p123 :rule refl :args (@t40)) % 0.29/0.55 (step @p124 :rule refl :args (@t34)) % 0.29/0.55 (step @p125 :rule refl :args (@t37)) % 0.29/0.55 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123 @p122) :args ((or @t37 @t34 @t40 @t41))) % 0.29/0.55 (assume-push @p211 @t33) % 0.29/0.55 (assume-push @p212 @t32) % 0.29/0.55 (assume-push @p213 @t25) % 0.29/0.55 (assume-push @p214 @t27) % 0.29/0.55 (step @p131 :rule evaluate :args (@t42)) % 0.29/0.55 (step @p132 :rule true_intro :premises (@p211)) % 0.29/0.55 (step @p133 :rule true_intro :premises (@p213)) % 0.29/0.55 (step @p134 :rule trans :premises (@p133 @p77)) % 0.29/0.55 (step @p135 :rule cong :premises (@p61 @p134) :args (@t26)) % 0.29/0.55 (step @p136 :rule false_intro :premises (@p73)) % 0.29/0.55 (step @p137 :rule symm :premises (@p136)) % 0.29/0.55 (step @p138 :rule trans :premises (@p137 @p135 @p132)) % 0.29/0.55 (step @p139 false :rule eq_resolve :premises (@p138 @p131)) % 0.29/0.55 (step-pop @p215 :rule scope :premises (@p139)) % 0.29/0.55 (step-pop @p216 :rule scope :premises (@p215)) % 0.29/0.55 (step-pop @p217 :rule scope :premises (@p216)) % 0.29/0.55 (step-pop @p218 :rule scope :premises (@p217)) % 0.29/0.55 (step @p140 :rule process_scope :premises (@p218) :args (false)) % 0.29/0.55 (assume-push @p219 @t32) % 0.29/0.55 (assume-push @p220 @t33) % 0.29/0.55 (assume-push @p221 @t25) % 0.29/0.55 (assume-push @p222 @t27) % 0.29/0.55 (step @p149 :rule and_intro :premises (@p220 @p88 @p221 @p73)) % 0.29/0.55 (step-pop @p223 :rule scope :premises (@p149)) % 0.29/0.55 (step-pop @p224 :rule scope :premises (@p223)) % 0.29/0.55 (step-pop @p225 :rule scope :premises (@p224)) % 0.29/0.55 (step-pop @p226 :rule scope :premises (@p225)) % 0.29/0.55 (step @p150 :rule process_scope :premises (@p226) :args (@t43)) % 0.29/0.55 (step @p155 :rule implies_elim :premises (@p150)) % 0.29/0.55 (step @p156 :rule resolution :premises (@p155 @p140) :args (true @t43)) % 0.29/0.55 (step @p157 :rule not_and :premises (@p156)) % 0.29/0.55 (step @p158 :rule eq_resolve :premises (@p157 @p126)) % 0.29/0.55 (step @p159 :rule reordering :premises (@p158) :args ((or @t34 @t37 @t26 @t40))) % 0.29/0.55 (step @p160 :rule chain_m_resolution :premises (@p159 @p121 @p88 @p73) :args (@t40 @t39 (@list @t33 @t32 @t26))) % 0.29/0.55 (step @p161 :rule bool-double-not-elim :args (@t25)) % 0.29/0.55 (step @p162 :rule bool-double-not-elim :args (@t11)) % 0.29/0.55 (step @p163 :rule refl :args (@t38)) % 0.29/0.55 (step @p164 :rule nary_cong :premises (@p163 @p162 @p122 @p161) :args ((or @t38 (not @t35) @t41 (not @t40)))) % 0.29/0.55 (assume-push @p227 @t12) % 0.29/0.55 (assume-push @p228 @t35) % 0.29/0.55 (assume-push @p229 @t40) % 0.29/0.55 (assume-push @p230 @t27) % 0.29/0.55 (step @p131 :rule evaluate :args (@t42)) % 0.29/0.55 (step @p95 :rule true_intro :premises (@p48)) % 0.29/0.55 (step @p169 :rule false_intro :premises (@p228)) % 0.29/0.55 (step @p170 :rule symm :premises (@p169)) % 0.29/0.55 (step @p171 :rule false_intro :premises (@p229)) % 0.29/0.55 (step @p172 :rule trans :premises (@p171 @p170)) % 0.29/0.55 (step @p173 :rule cong :premises (@p61 @p172) :args (@t26)) % 0.29/0.55 (step @p136 :rule false_intro :premises (@p73)) % 0.29/0.55 (step @p137 :rule symm :premises (@p136)) % 0.29/0.55 (step @p174 :rule trans :premises (@p137 @p173 @p95)) % 0.29/0.55 (step @p175 false :rule eq_resolve :premises (@p174 @p131)) % 0.29/0.55 (step-pop @p231 :rule scope :premises (@p175)) % 0.29/0.55 (step-pop @p232 :rule scope :premises (@p231)) % 0.29/0.55 (step-pop @p233 :rule scope :premises (@p232)) % 0.29/0.55 (step-pop @p234 :rule scope :premises (@p233)) % 0.29/0.55 (step @p176 :rule process_scope :premises (@p234) :args (false)) % 0.29/0.55 (assume-push @p235 @t12) % 0.29/0.55 (assume-push @p236 @t35) % 0.29/0.55 (assume-push @p237 @t27) % 0.29/0.55 (assume-push @p238 @t40) % 0.29/0.55 (step @p185 :rule and_intro :premises (@p48 @p236 @p238 @p73)) % 0.29/0.55 (step-pop @p239 :rule scope :premises (@p185)) % 0.29/0.55 (step-pop @p240 :rule scope :premises (@p239)) % 0.29/0.55 (step-pop @p241 :rule scope :premises (@p240)) % 0.29/0.55 (step-pop @p242 :rule scope :premises (@p241)) % 0.29/0.55 (step @p186 :rule process_scope :premises (@p242) :args (@t44)) % 0.29/0.55 (step @p191 :rule implies_elim :premises (@p186)) % 0.29/0.55 (step @p192 :rule resolution :premises (@p191 @p176) :args (true @t44)) % 0.29/0.55 (step @p193 :rule not_and :premises (@p192)) % 0.29/0.55 (step @p194 :rule eq_resolve :premises (@p193 @p164)) % 0.29/0.55 (step @p195 :rule reordering :premises (@p194) :args ((or @t11 @t38 @t25 @t26))) % 0.29/0.55 (step @p196 false :rule chain_m_resolution :premises (@p195 @p160 @p116 @p73 @p48) :args (false (@list true true true false) (@list @t25 @t11 @t26 @t12))) % 0.29/0.55 ) % 0.29/0.55 % SZS output end Proof % 0.29/0.55 % cvc5 exiting %------------------------------------------------------------------------------