%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ083^1 : TPTP v9.2.1. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:44:10 AM UTC 2026 % Result : Theorem 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ083^1 : TPTP v9.2.1. Released v3.6.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.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 13:17:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.30/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.54 % SZS status Theorem % 0.30/0.54 % SZS output start Proof % 0.30/0.54 ( % 0.30/0.54 (declare-sort $$unsorted 0) % 0.30/0.54 (declare-const tptp.says (-> $$unsorted Bool Bool)) % 0.30/0.54 (declare-const tptp.peter $$unsorted) % 0.30/0.54 (define @t1 () (@var "X" Bool)) % 0.30/0.54 (define @t2 () (not @t1)) % 0.30/0.54 (define @t3 () (_ tptp.says tptp.peter)) % 0.30/0.54 (define @t4 () (_ @t3 @t1)) % 0.30/0.54 (define @t5 () (@list @t1)) % 0.30/0.54 (define @t6 () (forall @t5 (=> @t4 @t2))) % 0.30/0.54 (define @t7 () (forall @t5 (=> @t4 @t1))) % 0.30/0.54 (define @t8 () (tptp.says tptp.peter true)) % 0.30/0.54 (define @t9 () (not @t8)) % 0.30/0.54 (define @t10 () (@purify @t9)) % 0.30/0.54 (define @t11 () (tptp.says tptp.peter @t10)) % 0.30/0.54 (define @t12 () (_ @t3 @t10)) % 0.30/0.54 (define @t13 () (= @t9 @t10)) % 0.30/0.54 (define @t14 () (not true)) % 0.30/0.54 (define @t15 () (or @t9 @t14)) % 0.30/0.54 (define @t16 () (tptp.says tptp.peter @t1)) % 0.30/0.54 (define @t17 () (not @t16)) % 0.30/0.54 (define @t18 () (or @t2 @t17 @t2)) % 0.30/0.54 (define @t19 () (or @t17 @t2)) % 0.30/0.54 (define @t20 () (not @t4)) % 0.30/0.54 (define @t21 () (or @t20 @t2)) % 0.30/0.54 (define @t22 () (@purify false)) % 0.30/0.54 (define @t23 () (not @t22)) % 0.30/0.54 (define @t24 () (tptp.says tptp.peter false)) % 0.30/0.54 (define @t25 () (not @t24)) % 0.30/0.54 (define @t26 () (or @t25 false)) % 0.30/0.54 (define @t27 () (or @t1 @t17 @t1)) % 0.30/0.54 (define @t28 () (or @t17 @t1)) % 0.30/0.54 (define @t29 () (or @t20 @t1)) % 0.30/0.54 (define @t30 () (@purify true)) % 0.30/0.54 (define @t31 () (tptp.says tptp.peter @t30)) % 0.30/0.54 (define @t32 () (not @t31)) % 0.30/0.54 (define @t33 () (not @t10)) % 0.30/0.54 (define @t34 () (and @t10 @t11 @t30)) % 0.30/0.54 (define @t35 () (not @t11)) % 0.30/0.54 (define @t36 () (tptp.says tptp.peter @t22)) % 0.30/0.54 (define @t37 () (not @t36)) % 0.30/0.54 (define @t38 () (and @t37 @t23 @t33 @t11)) % 0.30/0.54 (assume @p1 (_ @t3 @t6)) % 0.30/0.54 (assume @p2 (not (not @t7))) % 0.30/0.54 (assume @p3 true) % 0.30/0.54 (step @p4 :rule refl :args (@t11)) % 0.30/0.54 (step @p5 :rule refl :args (@t12)) % 0.30/0.54 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t12 @t11))) % 0.30/0.54 (step @p7 :rule symm :premises (@p6)) % 0.30/0.54 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.30/0.54 (step @p9 :rule eq-refl :args (@t9)) % 0.30/0.54 (step @p10 :rule skolem_intro :args (@t10)) % 0.30/0.54 (step @p11 :rule refl :args (@t9)) % 0.30/0.54 (step @p12 :rule cong :premises (@p11 @p10) :args (@t13)) % 0.30/0.54 (step @p13 :rule trans :premises (@p12 @p9)) % 0.30/0.54 (step @p14 :rule true_elim :premises (@p13)) % 0.30/0.54 (step @p15 :rule refl :args (@t3)) % 0.30/0.54 (step @p16 :rule ho_cong :premises (@p15 @p14)) % 0.30/0.54 (step @p17 :rule trans :premises (@p16 @p8)) % 0.30/0.54 (step @p18 :rule aci_norm :args ((= (or @t9 false) @t9))) % 0.30/0.54 (step @p19 :rule evaluate :args (@t14)) % 0.30/0.54 (step @p20 :rule nary_cong :premises (@p11 @p19) :args (@t15)) % 0.30/0.54 (step @p21 :rule trans :premises (@p20 @p18)) % 0.30/0.54 (step @p22 :rule quant-var-elim-eq :args ((= (forall @t5 (or (not (= @t1 true)) @t17 @t2)) @t15))) % 0.30/0.54 (step @p23 :rule refl :args (@t2)) % 0.30/0.54 (step @p24 :rule refl :args (@t17)) % 0.30/0.54 (step @p25 :rule bool-eq-true :args (@t1)) % 0.30/0.54 (step @p26 :rule symm :premises (@p25)) % 0.30/0.54 (step @p27 :rule cong :premises (@p26) :args (@t2)) % 0.30/0.54 (step @p28 :rule nary_cong :premises (@p27 @p24 @p23) :args (@t18)) % 0.30/0.54 (step @p29 :rule aci_norm :args ((= @t19 @t18))) % 0.30/0.54 (step @p30 :rule trans :premises (@p29 @p28)) % 0.30/0.54 (step @p31 :rule cong :premises (@p30) :args ((forall @t5 @t19))) % 0.30/0.54 (step @p32 :rule trans :premises (@p31 @p22)) % 0.30/0.54 (step @p33 :rule trans :premises (@p32 @p21)) % 0.30/0.54 (step @p34 :rule refl :args (@t16)) % 0.30/0.54 (step @p35 :rule refl :args (@t4)) % 0.30/0.54 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t4 @t16))) % 0.30/0.54 (step @p37 :rule symm :premises (@p36)) % 0.30/0.54 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 0.30/0.54 (step @p39 :rule cong :premises (@p38) :args (@t20)) % 0.30/0.54 (step @p40 :rule nary_cong :premises (@p39 @p23) :args (@t21)) % 0.30/0.54 (step @p41 :rule cong :premises (@p40) :args ((forall @t5 @t21))) % 0.30/0.54 (step @p42 :rule trans :premises (@p41 @p33)) % 0.30/0.54 (step @p43 :rule bool-impl-elim :args (@t4 @t2)) % 0.30/0.54 (step @p44 :rule cong :premises (@p43) :args (@t6)) % 0.30/0.54 (step @p45 :rule trans :premises (@p44 @p42)) % 0.30/0.54 (step @p46 :rule ho_cong :premises (@p15 @p45)) % 0.30/0.54 (step @p47 :rule trans :premises (@p46 @p17)) % 0.30/0.54 (step @p48 :rule eq_resolve :premises (@p1 @p47)) % 0.30/0.54 (step @p49 :rule evaluate :args ((not false))) % 0.30/0.54 (step @p50 :rule skolem_intro :args (@t22)) % 0.30/0.54 (step @p51 :rule cong :premises (@p50) :args (@t23)) % 0.30/0.54 (step @p52 :rule bool-eq-false :args (@t22)) % 0.30/0.54 (step @p53 :rule eq-symm :args (false @t22)) % 0.30/0.54 (step @p54 :rule trans :premises (@p53 @p52)) % 0.30/0.54 (step @p55 :rule trans :premises (@p54 @p51 @p49)) % 0.30/0.54 (step @p56 :rule true_elim :premises (@p55)) % 0.30/0.54 (step @p57 :rule refl :args (tptp.peter)) % 0.30/0.54 (step @p58 :rule cong :premises (@p57 @p56) :args (@t24)) % 0.30/0.54 (step @p59 :rule cong :premises (@p58) :args (@t25)) % 0.30/0.54 (step @p60 :rule aci_norm :args ((= @t26 @t25))) % 0.30/0.54 (step @p61 :rule quant-var-elim-eq :args ((= (forall @t5 (or (not (= @t1 false)) @t17 @t1)) @t26))) % 0.30/0.54 (step @p62 :rule refl :args (@t1)) % 0.30/0.54 (step @p63 :rule bool-eq-false :args (@t1)) % 0.30/0.54 (step @p64 :rule symm :premises (@p63)) % 0.30/0.54 (step @p65 :rule cong :premises (@p64) :args ((not @t2))) % 0.30/0.54 (step @p66 :rule bool-double-not-elim :args (@t1)) % 0.30/0.54 (step @p67 :rule symm :premises (@p66)) % 0.30/0.54 (step @p68 :rule trans :premises (@p67 @p65)) % 0.30/0.54 (step @p69 :rule nary_cong :premises (@p68 @p24 @p62) :args (@t27)) % 0.30/0.54 (step @p70 :rule aci_norm :args ((= @t28 @t27))) % 0.30/0.54 (step @p71 :rule trans :premises (@p70 @p69)) % 0.30/0.54 (step @p72 :rule cong :premises (@p71) :args ((forall @t5 @t28))) % 0.30/0.54 (step @p73 :rule trans :premises (@p72 @p61)) % 0.30/0.54 (step @p74 :rule trans :premises (@p73 @p60)) % 0.30/0.54 (step @p75 :rule nary_cong :premises (@p39 @p62) :args (@t29)) % 0.30/0.54 (step @p76 :rule cong :premises (@p75) :args ((forall @t5 @t29))) % 0.30/0.54 (step @p77 :rule trans :premises (@p76 @p74)) % 0.30/0.54 (step @p78 :rule bool-impl-elim :args (@t4 @t1)) % 0.30/0.54 (step @p79 :rule cong :premises (@p78) :args (@t7)) % 0.30/0.54 (step @p80 :rule trans :premises (@p79 @p77)) % 0.30/0.54 (step @p81 :rule bool-double-not-elim :args (@t7)) % 0.30/0.54 (step @p82 :rule trans :premises (@p81 @p80)) % 0.30/0.54 (step @p83 :rule trans :premises (@p82 @p59)) % 0.30/0.54 (step @p84 :rule eq_resolve :premises (@p2 @p83)) % 0.30/0.54 (step @p85 :rule eq_resolve :premises (@p50 @p52)) % 0.30/0.54 (step @p86 :rule eq-symm :args (@t32 @t10)) % 0.30/0.54 (step @p87 :rule refl :args (@t10)) % 0.30/0.54 (step @p88 :rule skolem_intro :args (@t30)) % 0.30/0.54 (step @p89 :rule symm :premises (@p88)) % 0.30/0.54 (step @p90 :rule cong :premises (@p57 @p89) :args (@t8)) % 0.30/0.54 (step @p91 :rule cong :premises (@p90) :args (@t9)) % 0.30/0.54 (step @p92 :rule cong :premises (@p91 @p87) :args (@t13)) % 0.30/0.54 (step @p93 :rule trans :premises (@p92 @p86)) % 0.30/0.54 (step @p94 :rule eq-symm :args (@t10 @t9)) % 0.30/0.54 (step @p95 :rule trans :premises (@p94 @p93)) % 0.30/0.54 (step @p96 :rule eq_resolve :premises (@p10 @p95)) % 0.30/0.54 (step @p97 :rule equiv_elim1 :premises (@p96)) % 0.30/0.54 (step @p98 :rule reordering :premises (@p97) :args ((or @t32 @t33))) % 0.30/0.54 (step @p99 :rule bool-eq-true :args (@t30)) % 0.30/0.54 (step @p100 :rule eq_resolve :premises (@p88 @p99)) % 0.30/0.54 (assume-push @p167 @t10) % 0.30/0.54 (assume-push @p168 @t11) % 0.30/0.54 (assume-push @p169 @t30) % 0.30/0.54 (assume-push @p170 @t11) % 0.30/0.54 (assume-push @p171 @t10) % 0.30/0.54 (assume-push @p172 @t30) % 0.30/0.54 (step @p107 :rule true_intro :premises (@p48)) % 0.30/0.54 (step @p108 :rule true_intro :premises (@p167)) % 0.30/0.54 (step @p109 :rule symm :premises (@p108)) % 0.30/0.54 (step @p110 :rule trans :premises (@p88 @p109)) % 0.30/0.54 (step @p111 :rule cong :premises (@p57 @p110) :args (@t31)) % 0.30/0.54 (step @p112 :rule trans :premises (@p111 @p107)) % 0.30/0.54 (step @p113 :rule true_elim :premises (@p112)) % 0.30/0.54 (step-pop @p173 :rule scope :premises (@p113)) % 0.30/0.54 (step-pop @p174 :rule scope :premises (@p173)) % 0.30/0.54 (step-pop @p175 :rule scope :premises (@p174)) % 0.30/0.54 (step @p114 :rule process_scope :premises (@p175) :args (@t31)) % 0.30/0.54 (step @p118 :rule and_intro :premises (@p48 @p167 @p100)) % 0.30/0.54 (step @p119 :rule modus_ponens :premises (@p118 @p114)) % 0.30/0.54 (step-pop @p176 :rule scope :premises (@p119)) % 0.30/0.54 (step-pop @p177 :rule scope :premises (@p176)) % 0.30/0.54 (step-pop @p178 :rule scope :premises (@p177)) % 0.30/0.54 (step @p120 :rule process_scope :premises (@p178) :args (@t31)) % 0.30/0.54 (step @p124 :rule implies_elim :premises (@p120)) % 0.30/0.54 (step @p125 :rule cnf_and_neg :args (@t34)) % 0.30/0.54 (step @p126 :rule resolution :premises (@p125 @p124) :args (true @t34)) % 0.30/0.54 (step @p127 :rule reordering :premises (@p126) :args ((or @t31 @t35 @t33 (not @t30)))) % 0.30/0.54 (step @p128 :rule chain_m_resolution :premises (@p127 @p100 @p48 @p98) :args (@t33 (@list false false true) (@list @t30 @t11 @t31))) % 0.30/0.54 (step @p129 :rule bool-double-not-elim :args (@t10)) % 0.30/0.54 (step @p130 :rule bool-double-not-elim :args (@t22)) % 0.30/0.54 (step @p131 :rule bool-double-not-elim :args (@t36)) % 0.30/0.54 (step @p132 :rule refl :args (@t35)) % 0.30/0.54 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130 @p129) :args ((or @t35 (not @t37) (not @t23) (not @t33)))) % 0.30/0.54 (assume-push @p179 @t37) % 0.30/0.55 (assume-push @p180 @t23) % 0.30/0.55 (assume-push @p181 @t33) % 0.30/0.55 (assume-push @p182 @t11) % 0.30/0.55 (step @p138 :rule evaluate :args ((= true false))) % 0.30/0.55 (step @p139 :rule false_intro :premises (@p84)) % 0.30/0.55 (step @p140 :rule false_intro :premises (@p181)) % 0.30/0.55 (step @p141 :rule trans :premises (@p140 @p56)) % 0.30/0.55 (step @p142 :rule cong :premises (@p57 @p141) :args (@t11)) % 0.30/0.55 (step @p107 :rule true_intro :premises (@p48)) % 0.30/0.55 (step @p143 :rule symm :premises (@p107)) % 0.30/0.55 (step @p144 :rule trans :premises (@p143 @p142 @p139)) % 0.30/0.55 (step @p145 false :rule eq_resolve :premises (@p144 @p138)) % 0.30/0.55 (step-pop @p183 :rule scope :premises (@p145)) % 0.30/0.55 (step-pop @p184 :rule scope :premises (@p183)) % 0.30/0.55 (step-pop @p185 :rule scope :premises (@p184)) % 0.30/0.55 (step-pop @p186 :rule scope :premises (@p185)) % 0.30/0.55 (step @p146 :rule process_scope :premises (@p186) :args (false)) % 0.30/0.55 (assume-push @p187 @t11) % 0.30/0.55 (assume-push @p188 @t37) % 0.30/0.55 (assume-push @p189 @t23) % 0.30/0.55 (assume-push @p190 @t33) % 0.30/0.55 (step @p155 :rule and_intro :premises (@p84 @p85 @p190 @p48)) % 0.30/0.55 (step-pop @p191 :rule scope :premises (@p155)) % 0.30/0.55 (step-pop @p192 :rule scope :premises (@p191)) % 0.30/0.55 (step-pop @p193 :rule scope :premises (@p192)) % 0.30/0.55 (step-pop @p194 :rule scope :premises (@p193)) % 0.30/0.55 (step @p156 :rule process_scope :premises (@p194) :args (@t38)) % 0.30/0.55 (step @p161 :rule implies_elim :premises (@p156)) % 0.30/0.55 (step @p162 :rule resolution :premises (@p161 @p146) :args (true @t38)) % 0.30/0.55 (step @p163 :rule not_and :premises (@p162)) % 0.30/0.55 (step @p164 :rule eq_resolve :premises (@p163 @p133)) % 0.30/0.55 (step @p165 :rule reordering :premises (@p164) :args ((or @t10 @t22 @t36 @t35))) % 0.30/0.55 (step @p166 false :rule chain_m_resolution :premises (@p165 @p128 @p85 @p84 @p48) :args (false (@list true true true false) (@list @t10 @t22 @t36 @t11))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------