%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET012-4 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:46:54 AM UTC 2026 % Result : Unsatisfiable 0.45s 0.70s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET012-4 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n010.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 14:40:10 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.70 % SZS status Unsatisfiable % 0.45/0.70 % SZS output start Proof % 0.51/0.70 ( % 0.51/0.70 (declare-sort $$unsorted 0) % 0.51/0.70 (declare-const tptp.as $$unsorted) % 0.51/0.70 (declare-const tptp.cs $$unsorted) % 0.51/0.70 (declare-const tptp.empty_set $$unsorted) % 0.51/0.70 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.bs $$unsorted) % 0.51/0.70 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.universal_set $$unsorted) % 0.51/0.70 (declare-const tptp.little_set (-> $$unsorted Bool)) % 0.51/0.70 (define @t1 () (@var "X" $$unsorted)) % 0.51/0.70 (define @t2 () (@var "Y" $$unsorted)) % 0.51/0.70 (define @t3 () (@list @t1 @t2)) % 0.51/0.70 (define @t4 () (= @t1 @t2)) % 0.51/0.70 (define @t5 () (tptp.f1 @t1 @t2)) % 0.51/0.70 (define @t6 () (tptp.member @t5 @t2)) % 0.51/0.70 (define @t7 () (tptp.member @t5 @t1)) % 0.51/0.70 (define @t8 () (@var "Z" $$unsorted)) % 0.51/0.70 (define @t9 () (tptp.member @t8 @t1)) % 0.51/0.70 (define @t10 () (tptp.member @t8 (tptp.complement @t1))) % 0.51/0.70 (define @t11 () (@list @t8 @t1)) % 0.51/0.70 (define @t12 () (forall @t11 (or (not @t10) (not @t9)))) % 0.51/0.70 (define @t13 () (not (tptp.little_set @t8))) % 0.51/0.70 (define @t14 () (@list @t8)) % 0.51/0.70 (define @t15 () (tptp.complement tptp.as)) % 0.51/0.70 (define @t16 () (tptp.complement tptp.bs)) % 0.51/0.70 (define @t17 () (tptp.f1 tptp.as @t16)) % 0.51/0.70 (define @t18 () (@list @t17 tptp.bs)) % 0.51/0.70 (define @t19 () (@list tptp.as @t16)) % 0.51/0.70 (define @t20 () (= tptp.as @t16)) % 0.51/0.70 (define @t21 () (tptp.little_set @t17)) % 0.51/0.70 (define @t22 () (or @t21 @t20)) % 0.51/0.70 (define @t23 () (@list true false)) % 0.51/0.70 (define @t24 () (tptp.member @t17 @t16)) % 0.51/0.70 (define @t25 () (not @t24)) % 0.51/0.70 (define @t26 () (tptp.member @t17 tptp.as)) % 0.51/0.70 (define @t27 () (not @t26)) % 0.51/0.70 (define @t28 () (or @t27 @t25 @t20)) % 0.51/0.70 (define @t29 () (tptp.member @t17 tptp.bs)) % 0.51/0.70 (define @t30 () (not @t29)) % 0.51/0.70 (define @t31 () (or @t25 @t30)) % 0.51/0.70 (define @t32 () (@list @t17 tptp.as)) % 0.51/0.70 (define @t33 () (not @t21)) % 0.51/0.70 (define @t34 () (tptp.member @t17 @t15)) % 0.51/0.70 (define @t35 () (or @t34 @t33 @t26)) % 0.51/0.70 (define @t36 () (not @t34)) % 0.51/0.70 (define @t37 () (= tptp.bs @t15)) % 0.51/0.70 (define @t38 () (not @t37)) % 0.51/0.70 (define @t39 () (and @t37 @t30)) % 0.51/0.70 (define @t40 () (or @t24 @t33 @t29)) % 0.51/0.70 (define @t41 () (and @t37 @t29)) % 0.51/0.70 (define @t42 () (@list false false)) % 0.51/0.70 (define @t43 () (or @t26 @t24 @t20)) % 0.51/0.70 (define @t44 () (or @t36 @t27)) % 0.51/0.70 (define @t45 () (not @t44)) % 0.51/0.70 (assume @p1 (forall @t3 (or (not (tptp.member @t1 @t2)) (tptp.little_set @t1)))) % 0.51/0.70 (assume @p2 (forall @t3 (or (tptp.little_set @t5) @t4))) % 0.51/0.70 (assume @p3 (forall @t3 (or @t7 @t6 @t4))) % 0.51/0.70 (assume @p4 (forall @t3 (or (not @t7) (not @t6) @t4))) % 0.51/0.70 (assume @p5 @t12) % 0.51/0.70 (assume @p6 (forall @t11 (or @t10 @t13 @t9))) % 0.51/0.70 (assume @p7 (forall @t14 (not (tptp.member @t8 tptp.empty_set)))) % 0.51/0.70 (assume @p8 (forall @t14 (or (tptp.member @t8 tptp.universal_set) @t13))) % 0.51/0.70 (assume @p9 (= @t15 tptp.bs)) % 0.51/0.70 (assume @p10 (= @t16 tptp.cs)) % 0.51/0.70 (assume @p11 (not (= tptp.as tptp.cs))) % 0.51/0.70 (step @p12 :rule instantiate :premises (@p6) :args (@t18)) % 0.51/0.70 (step @p13 :rule instantiate :premises (@p2) :args (@t19)) % 0.51/0.70 (step @p14 :rule false_intro :premises (@p11)) % 0.51/0.70 (step @p15 :rule refl :args (tptp.as)) % 0.51/0.70 (step @p16 :rule cong :premises (@p15 @p10) :args (@t20)) % 0.51/0.70 (step @p17 :rule trans :premises (@p16 @p14)) % 0.51/0.70 (step @p18 :rule false_elim :premises (@p17)) % 0.51/0.70 (step @p19 :rule cnf_or_pos :args (@t22)) % 0.51/0.70 (step @p20 :rule reordering :premises (@p19) :args ((or @t21 @t20 (not @t22)))) % 0.51/0.70 (step @p21 :rule chain_m_resolution :premises (@p20 @p18 @p13) :args (@t21 @t23 (@list @t20 @t22))) % 0.51/0.70 (step @p22 :rule instantiate :premises (@p4) :args (@t19)) % 0.51/0.70 (step @p23 :rule cnf_or_pos :args (@t28)) % 0.51/0.70 (step @p24 :rule reordering :premises (@p23) :args ((or @t20 @t27 @t25 (not @t28)))) % 0.51/0.70 (step @p25 :rule instantiate :premises (@p5) :args (@t18)) % 0.51/0.70 (step @p26 :rule cnf_or_pos :args (@t31)) % 0.51/0.70 (step @p27 :rule reordering :premises (@p26) :args ((or @t25 @t30 (not @t31)))) % 0.51/0.70 (step @p28 :rule instantiate :premises (@p6) :args (@t32)) % 0.51/0.70 (step @p29 :rule cnf_or_pos :args (@t35)) % 0.51/0.70 (step @p30 :rule reordering :premises (@p29) :args ((or @t26 @t33 @t34 (not @t35)))) % 0.51/0.70 (step @p31 :rule symm :premises (@p9)) % 0.51/0.70 (step @p32 :rule refl :args (@t36)) % 0.51/0.70 (step @p33 :rule bool-double-not-elim :args (@t29)) % 0.51/0.70 (step @p34 :rule refl :args (@t38)) % 0.51/0.70 (step @p35 :rule nary_cong :premises (@p34 @p33 @p32) :args ((or @t38 (not @t30) @t36))) % 0.51/0.70 (assume-push @p93 @t37) % 0.51/0.70 (assume-push @p94 @t30) % 0.51/0.70 (assume-push @p95 @t30) % 0.51/0.70 (assume-push @p96 @t37) % 0.51/0.70 (step @p40 :rule false_intro :premises (@p94)) % 0.51/0.70 (step @p41 :rule refl :args (@t17)) % 0.51/0.70 (step @p42 :rule cong :premises (@p41 @p9) :args (@t34)) % 0.51/0.70 (step @p43 :rule trans :premises (@p42 @p40)) % 0.51/0.70 (step @p44 :rule false_elim :premises (@p43)) % 0.51/0.70 (step-pop @p97 :rule scope :premises (@p44)) % 0.51/0.70 (step-pop @p98 :rule scope :premises (@p97)) % 0.51/0.70 (step @p45 :rule process_scope :premises (@p98) :args (@t36)) % 0.51/0.70 (step @p48 :rule and_intro :premises (@p94 @p31)) % 0.51/0.70 (step @p49 :rule modus_ponens :premises (@p48 @p45)) % 0.51/0.70 (step-pop @p99 :rule scope :premises (@p49)) % 0.51/0.70 (step-pop @p100 :rule scope :premises (@p99)) % 0.51/0.70 (step @p50 :rule process_scope :premises (@p100) :args (@t36)) % 0.51/0.70 (step @p53 :rule implies_elim :premises (@p50)) % 0.51/0.70 (step @p54 :rule cnf_and_neg :args (@t39)) % 0.51/0.70 (step @p55 :rule resolution :premises (@p54 @p53) :args (true @t39)) % 0.51/0.70 (step @p56 :rule eq_resolve :premises (@p55 @p35)) % 0.51/0.70 (step @p57 :rule chain_m_resolution :premises (@p56 @p31 @p30 @p28 @p21 @p27 @p25 @p24 @p22 @p18) :args (@t25 (@list false false false false true false true false true) (@list @t37 @t34 @t35 @t21 @t29 @t31 @t26 @t28 @t20))) % 0.51/0.70 (step @p58 :rule cnf_or_pos :args (@t40)) % 0.51/0.70 (step @p59 :rule reordering :premises (@p58) :args ((or @t24 @t33 @t29 (not @t40)))) % 0.51/0.70 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p21 @p12) :args (@t29 (@list true false false) (@list @t24 @t21 @t40))) % 0.51/0.70 (assume-push @p101 @t37) % 0.51/0.70 (assume-push @p102 @t29) % 0.51/0.70 (assume-push @p103 @t29) % 0.51/0.70 (assume-push @p104 @t37) % 0.51/0.70 (step @p65 :rule true_intro :premises (@p102)) % 0.51/0.70 (step @p41 :rule refl :args (@t17)) % 0.51/0.70 (step @p42 :rule cong :premises (@p41 @p9) :args (@t34)) % 0.51/0.70 (step @p66 :rule trans :premises (@p42 @p65)) % 0.51/0.70 (step @p67 :rule true_elim :premises (@p66)) % 0.51/0.70 (step-pop @p105 :rule scope :premises (@p67)) % 0.51/0.70 (step-pop @p106 :rule scope :premises (@p105)) % 0.51/0.70 (step @p68 :rule process_scope :premises (@p106) :args (@t34)) % 0.51/0.70 (step @p71 :rule and_intro :premises (@p102 @p31)) % 0.51/0.70 (step @p72 :rule modus_ponens :premises (@p71 @p68)) % 0.51/0.70 (step-pop @p107 :rule scope :premises (@p72)) % 0.51/0.70 (step-pop @p108 :rule scope :premises (@p107)) % 0.51/0.70 (step @p73 :rule process_scope :premises (@p108) :args (@t34)) % 0.51/0.70 (step @p76 :rule implies_elim :premises (@p73)) % 0.51/0.70 (step @p77 :rule cnf_and_neg :args (@t41)) % 0.51/0.70 (step @p78 :rule resolution :premises (@p77 @p76) :args (true @t41)) % 0.51/0.70 (step @p79 :rule chain_m_resolution :premises (@p78 @p31 @p60) :args (@t34 @t42 (@list @t37 @t29))) % 0.51/0.70 (step @p80 :rule instantiate :premises (@p3) :args (@t19)) % 0.51/0.70 (step @p81 :rule cnf_or_pos :args (@t43)) % 0.51/0.70 (step @p82 :rule reordering :premises (@p81) :args ((or @t20 @t26 @t24 (not @t43)))) % 0.51/0.70 (step @p83 :rule chain_m_resolution :premises (@p82 @p18 @p57 @p80) :args (@t26 (@list true true false) (@list @t20 @t24 @t43))) % 0.51/0.70 (step @p84 :rule cnf_or_pos :args (@t44)) % 0.51/0.70 (step @p85 :rule reordering :premises (@p84) :args ((or @t27 @t36 @t45))) % 0.51/0.70 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p79) :args (@t45 @t42 (@list @t26 @t34))) % 0.51/0.70 (assume-push @p109 @t12) % 0.51/0.70 (step @p88 :rule instantiate :premises (@p5) :args (@t32)) % 0.51/0.70 (step-pop @p110 :rule scope :premises (@p88)) % 0.51/0.70 (step @p89 :rule process_scope :premises (@p110) :args (@t44)) % 0.51/0.70 (step @p91 :rule implies_elim :premises (@p89)) % 0.51/0.70 (step @p92 false :rule chain_m_resolution :premises (@p91 @p86 @p5) :args (false @t23 (@list @t44 @t12))) % 0.51/0.70 ) % 0.51/0.70 % SZS output end Proof % 0.51/0.70 % cvc5 exiting %------------------------------------------------------------------------------