%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET016-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:46:57 AM UTC 2026 % Result : Unsatisfiable 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET016-1 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:40:34 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.55 % SZS status Unsatisfiable % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.m1 $$unsorted) % 0.31/0.55 (declare-const tptp.r1 $$unsorted) % 0.31/0.55 (declare-const tptp.m2 $$unsorted) % 0.31/0.55 (declare-const tptp.r2 $$unsorted) % 0.31/0.55 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.singleton_set (-> $$unsorted $$unsorted)) % 0.31/0.55 (define @t1 () (@var "X" $$unsorted)) % 0.31/0.55 (define @t2 () (tptp.singleton_set @t1)) % 0.31/0.55 (define @t3 () (@var "Y" $$unsorted)) % 0.31/0.55 (define @t4 () (= @t1 @t3)) % 0.31/0.55 (define @t5 () (@list @t1 @t3)) % 0.31/0.55 (define @t6 () (tptp.unordered_pair @t1 @t3)) % 0.31/0.55 (define @t7 () (@var "Z" $$unsorted)) % 0.31/0.55 (define @t8 () (forall (@list @t1 @t3 @t7) (or (not (tptp.member @t1 (tptp.unordered_pair @t3 @t7))) @t4 (= @t1 @t7)))) % 0.31/0.55 (define @t9 () (= tptp.m1 tptp.m2)) % 0.31/0.55 (define @t10 () (tptp.singleton_set tptp.m2)) % 0.31/0.55 (define @t11 () (tptp.member tptp.m1 @t10)) % 0.31/0.55 (define @t12 () (not @t11)) % 0.31/0.55 (define @t13 () (or @t12 @t9)) % 0.31/0.55 (define @t14 () (tptp.unordered_pair tptp.m1 tptp.r1)) % 0.31/0.55 (define @t15 () (tptp.singleton_set tptp.m1)) % 0.31/0.55 (define @t16 () (tptp.member @t10 (tptp.unordered_pair @t15 @t14))) % 0.31/0.55 (define @t17 () (not @t16)) % 0.31/0.55 (define @t18 () (or @t17 (= @t10 @t15) (= @t10 @t14))) % 0.31/0.55 (define @t19 () (= @t14 @t10)) % 0.31/0.55 (define @t20 () (= @t15 @t10)) % 0.31/0.55 (define @t21 () (or @t17 @t20 @t19)) % 0.31/0.55 (define @t22 () (@list tptp.m1 tptp.r1)) % 0.31/0.55 (define @t23 () (not @t19)) % 0.31/0.55 (define @t24 () (tptp.member tptp.m1 @t14)) % 0.31/0.55 (define @t25 () (not @t24)) % 0.31/0.55 (define @t26 () (not @t12)) % 0.31/0.55 (define @t27 () (= false true)) % 0.31/0.55 (define @t28 () (@list false true false)) % 0.31/0.55 (define @t29 () (not @t20)) % 0.31/0.55 (define @t30 () (tptp.member tptp.m1 @t15)) % 0.31/0.55 (define @t31 () (not @t30)) % 0.31/0.55 (assume @p1 (forall (@list @t1) (tptp.member @t1 @t2))) % 0.31/0.55 (assume @p2 (forall @t5 (or (not (tptp.member @t1 (tptp.singleton_set @t3))) @t4))) % 0.31/0.55 (assume @p3 (forall @t5 (tptp.member @t1 @t6))) % 0.31/0.55 (assume @p4 (forall (@list @t3 @t1) (tptp.member @t3 @t6))) % 0.31/0.55 (assume @p5 @t8) % 0.31/0.55 (assume @p6 (forall @t5 (= (tptp.ordered_pair @t1 @t3) (tptp.unordered_pair @t2 @t6)))) % 0.31/0.55 (assume @p7 (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) % 0.31/0.55 (assume @p8 (not @t9)) % 0.31/0.55 (step @p9 :rule instantiate :premises (@p1) :args ((@list tptp.m1))) % 0.31/0.55 (step @p10 :rule instantiate :premises (@p2) :args ((@list tptp.m1 tptp.m2))) % 0.31/0.55 (step @p11 :rule cnf_or_pos :args (@t13)) % 0.31/0.55 (step @p12 :rule reordering :premises (@p11) :args ((or @t9 @t12 (not @t13)))) % 0.31/0.55 (step @p13 :rule chain_m_resolution :premises (@p12 @p8 @p10) :args (@t12 (@list true false) (@list @t9 @t13))) % 0.31/0.55 (step @p14 :rule eq-symm :args (@t10 @t14)) % 0.31/0.55 (step @p15 :rule eq-symm :args (@t10 @t15)) % 0.31/0.55 (step @p16 :rule refl :args (@t17)) % 0.31/0.55 (step @p17 :rule nary_cong :premises (@p16 @p15 @p14) :args (@t18)) % 0.31/0.55 (step @p18 :rule refl :args (@t8)) % 0.31/0.55 (step @p19 :rule cong :premises (@p18 @p17) :args ((=> @t8 @t18))) % 0.31/0.55 (assume-push @p82 @t8) % 0.31/0.55 (step @p21 :rule instantiate :premises (@p5) :args ((@list @t10 @t15 @t14))) % 0.31/0.55 (step-pop @p83 :rule scope :premises (@p21)) % 0.31/0.55 (step @p22 :rule process_scope :premises (@p83) :args (@t18)) % 0.31/0.55 (step @p24 :rule eq_resolve :premises (@p22 @p19)) % 0.31/0.55 (step @p25 :rule implies_elim :premises (@p24)) % 0.31/0.55 (step @p26 :rule chain_m_resolution :premises (@p25 @p5) :args (@t21 (@list false) (@list @t8))) % 0.31/0.55 (step @p27 :rule instantiate :premises (@p3) :args (@t22)) % 0.31/0.55 (step @p28 :rule bool-double-not-elim :args (@t11)) % 0.31/0.55 (step @p29 :rule refl :args (@t23)) % 0.31/0.55 (step @p30 :rule refl :args (@t25)) % 0.31/0.55 (step @p31 :rule nary_cong :premises (@p30 @p29 @p28) :args ((or @t25 @t23 @t26))) % 0.31/0.55 (assume-push @p84 @t24) % 0.31/0.55 (assume-push @p85 @t19) % 0.31/0.55 (assume-push @p86 @t12) % 0.31/0.55 (step @p35 :rule evaluate :args (@t27)) % 0.31/0.55 (step @p36 :rule true_intro :premises (@p27)) % 0.31/0.55 (step @p37 :rule symm :premises (@p85)) % 0.31/0.55 (step @p38 :rule refl :args (tptp.m1)) % 0.31/0.55 (step @p39 :rule cong :premises (@p38 @p37) :args (@t11)) % 0.31/0.55 (step @p40 :rule false_intro :premises (@p13)) % 0.31/0.55 (step @p41 :rule symm :premises (@p40)) % 0.31/0.55 (step @p42 :rule trans :premises (@p41 @p39 @p36)) % 0.31/0.55 (step @p43 false :rule eq_resolve :premises (@p42 @p35)) % 0.31/0.55 (step-pop @p87 :rule scope :premises (@p43)) % 0.31/0.55 (step-pop @p88 :rule scope :premises (@p87)) % 0.31/0.55 (step-pop @p89 :rule scope :premises (@p88)) % 0.31/0.55 (step @p44 :rule process_scope :premises (@p89) :args (false)) % 0.31/0.55 (step @p48 :rule not_and :premises (@p44)) % 0.31/0.55 (step @p49 :rule eq_resolve :premises (@p48 @p31)) % 0.31/0.55 (step @p50 :rule chain_m_resolution :premises (@p49 @p27 @p13) :args (@t23 (@list false true) (@list @t24 @t11))) % 0.31/0.55 (step @p51 :rule instantiate :premises (@p3) :args ((@list @t10 (tptp.unordered_pair tptp.m2 tptp.r2)))) % 0.31/0.55 (step @p52 :rule true_intro :premises (@p51)) % 0.31/0.55 (step @p53 :rule instantiate :premises (@p6) :args ((@list tptp.m2 tptp.r2))) % 0.31/0.55 (step @p54 :rule instantiate :premises (@p6) :args (@t22)) % 0.31/0.55 (step @p55 :rule symm :premises (@p54)) % 0.31/0.55 (step @p56 :rule trans :premises (@p55 @p7 @p53)) % 0.31/0.55 (step @p57 :rule refl :args (@t10)) % 0.31/0.55 (step @p58 :rule cong :premises (@p57 @p56) :args (@t16)) % 0.31/0.55 (step @p59 :rule trans :premises (@p58 @p52)) % 0.31/0.55 (step @p60 :rule true_elim :premises (@p59)) % 0.31/0.55 (step @p61 :rule cnf_or_pos :args (@t21)) % 0.31/0.55 (step @p62 :rule reordering :premises (@p61) :args ((or @t20 @t17 @t19 (not @t21)))) % 0.31/0.55 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p50 @p26) :args (@t20 @t28 (@list @t16 @t19 @t21))) % 0.31/0.55 (step @p64 :rule refl :args (@t29)) % 0.31/0.55 (step @p65 :rule refl :args (@t31)) % 0.31/0.55 (step @p66 :rule nary_cong :premises (@p65 @p64 @p28) :args ((or @t31 @t29 @t26))) % 0.31/0.55 (assume-push @p90 @t30) % 0.31/0.55 (assume-push @p91 @t20) % 0.31/0.55 (assume-push @p92 @t12) % 0.31/0.55 (step @p35 :rule evaluate :args (@t27)) % 0.31/0.55 (step @p70 :rule true_intro :premises (@p9)) % 0.31/0.55 (step @p71 :rule symm :premises (@p91)) % 0.31/0.55 (step @p38 :rule refl :args (tptp.m1)) % 0.31/0.55 (step @p72 :rule cong :premises (@p38 @p71) :args (@t11)) % 0.31/0.55 (step @p40 :rule false_intro :premises (@p13)) % 0.31/0.55 (step @p41 :rule symm :premises (@p40)) % 0.31/0.55 (step @p73 :rule trans :premises (@p41 @p72 @p70)) % 0.31/0.55 (step @p74 false :rule eq_resolve :premises (@p73 @p35)) % 0.31/0.55 (step-pop @p93 :rule scope :premises (@p74)) % 0.31/0.55 (step-pop @p94 :rule scope :premises (@p93)) % 0.31/0.55 (step-pop @p95 :rule scope :premises (@p94)) % 0.31/0.55 (step @p75 :rule process_scope :premises (@p95) :args (false)) % 0.31/0.55 (step @p79 :rule not_and :premises (@p75)) % 0.31/0.55 (step @p80 :rule eq_resolve :premises (@p79 @p66)) % 0.31/0.55 (step @p81 false :rule chain_m_resolution :premises (@p80 @p63 @p13 @p9) :args (false @t28 (@list @t20 @t11 @t30))) % 0.31/0.55 ) % 0.31/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------