%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET886+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:48:55 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.12 % Problem : SET886+1 : TPTP v9.2.1. Released v3.2.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n004.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:17:08 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t3 () (tptp.unordered_pair @t1 @t2)) % 0.37/0.57 (define @t4 () (@list @t1 @t2)) % 0.37/0.57 (define @t5 () (tptp.empty @t1)) % 0.37/0.57 (define @t6 () (@list @t1)) % 0.37/0.57 (define @t7 () (@var "C" $$unsorted)) % 0.37/0.57 (define @t8 () (= @t1 @t7)) % 0.37/0.57 (define @t9 () (tptp.singleton @t7)) % 0.37/0.57 (define @t10 () (tptp.subset @t3 @t9)) % 0.37/0.57 (define @t11 () (@list @t1 @t2 @t7)) % 0.37/0.57 (define @t12 () (forall @t11 (=> @t10 @t8))) % 0.37/0.57 (define @t13 () (= @t3 @t9)) % 0.37/0.57 (define @t14 () (forall @t11 (=> @t10 @t13))) % 0.37/0.57 (define @t15 () (not @t14)) % 0.37/0.57 (define @t16 () (forall @t6 (= (tptp.unordered_pair @t1 @t1) (tptp.singleton @t1)))) % 0.37/0.57 (define @t17 () (forall @t11 (or (not @t10) @t13))) % 0.37/0.57 (define @t18 () (@quantifiers_skolemize @t17 2)) % 0.37/0.57 (define @t19 () (tptp.singleton @t18)) % 0.37/0.57 (define @t20 () (@quantifiers_skolemize @t17 1)) % 0.37/0.57 (define @t21 () (@quantifiers_skolemize @t17 0)) % 0.37/0.57 (define @t22 () (tptp.unordered_pair @t21 @t20)) % 0.37/0.57 (define @t23 () (= @t22 @t19)) % 0.37/0.57 (define @t24 () (tptp.subset @t22 @t19)) % 0.37/0.57 (define @t25 () (not @t24)) % 0.37/0.57 (define @t26 () (or @t25 @t23)) % 0.37/0.57 (define @t27 () (@list true)) % 0.37/0.57 (define @t28 () (@list @t26)) % 0.37/0.57 (define @t29 () (tptp.unordered_pair @t18 @t18)) % 0.37/0.57 (define @t30 () (= @t29 @t19)) % 0.37/0.57 (define @t31 () (@list @t18)) % 0.37/0.57 (define @t32 () (= @t19 @t29)) % 0.37/0.57 (define @t33 () (= @t21 @t18)) % 0.37/0.57 (define @t34 () (or @t25 @t33)) % 0.37/0.57 (define @t35 () (@list false false)) % 0.37/0.57 (define @t36 () (tptp.subset (tptp.unordered_pair @t20 @t21) @t19)) % 0.37/0.57 (define @t37 () (= @t20 @t18)) % 0.37/0.57 (define @t38 () (not @t36)) % 0.37/0.57 (define @t39 () (or @t38 @t37)) % 0.37/0.57 (define @t40 () (and @t33 @t32 @t37)) % 0.37/0.57 (assume @p1 (forall @t4 (= @t3 (tptp.unordered_pair @t2 @t1)))) % 0.37/0.57 (assume @p2 (exists @t6 @t5)) % 0.37/0.57 (assume @p3 (exists @t6 (not @t5))) % 0.37/0.57 (assume @p4 (forall @t4 (tptp.subset @t1 @t1))) % 0.37/0.57 (assume @p5 @t12) % 0.37/0.57 (assume @p6 @t15) % 0.37/0.57 (assume @p7 @t16) % 0.37/0.57 (assume @p8 true) % 0.37/0.57 (step @p9 :rule bool-impl-elim :args (@t10 @t13)) % 0.37/0.57 (step @p10 :rule cong :premises (@p9) :args (@t14)) % 0.37/0.57 (step @p11 :rule cong :premises (@p10) :args (@t15)) % 0.37/0.57 (step @p12 :rule eq_resolve :premises (@p6 @p11)) % 0.37/0.57 (step @p13 :rule skolemize :premises (@p12)) % 0.37/0.57 (step @p14 :rule cnf_or_neg :args (@t26 1)) % 0.37/0.57 (step @p15 :rule chain_m_resolution :premises (@p14 @p13) :args ((not @t23) @t27 @t28)) % 0.37/0.57 (step @p16 :rule eq-symm :args (@t29 @t19)) % 0.37/0.57 (step @p17 :rule refl :args (@t16)) % 0.37/0.57 (step @p18 :rule cong :premises (@p17 @p16) :args ((=> @t16 @t30))) % 0.37/0.57 (assume-push @p65 @t16) % 0.37/0.57 (step @p20 :rule instantiate :premises (@p7) :args (@t31)) % 0.37/0.57 (step-pop @p66 :rule scope :premises (@p20)) % 0.37/0.57 (step @p21 :rule process_scope :premises (@p66) :args (@t30)) % 0.37/0.57 (step @p23 :rule eq_resolve :premises (@p21 @p18)) % 0.37/0.57 (step @p24 :rule implies_elim :premises (@p23)) % 0.37/0.57 (step @p25 :rule chain_m_resolution :premises (@p24 @p7) :args (@t32 (@list false) (@list @t16))) % 0.37/0.57 (step @p26 :rule bool-impl-elim :args (@t10 @t8)) % 0.37/0.57 (step @p27 :rule cong :premises (@p26) :args (@t12)) % 0.37/0.57 (step @p28 :rule eq_resolve :premises (@p5 @p27)) % 0.37/0.57 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t21 @t20 @t18))) % 0.37/0.57 (step @p30 :rule bool-double-not-elim :args (@t24)) % 0.37/0.57 (step @p31 :rule refl :args (@t26)) % 0.37/0.57 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or @t26 (not @t25)))) % 0.37/0.57 (step @p33 :rule cnf_or_neg :args (@t26 0)) % 0.37/0.57 (step @p34 :rule eq_resolve :premises (@p33 @p32)) % 0.37/0.57 (step @p35 :rule reordering :premises (@p34) :args ((or @t24 @t26))) % 0.37/0.57 (step @p36 :rule chain_m_resolution :premises (@p35 @p13) :args (@t24 @t27 @t28)) % 0.37/0.57 (step @p37 :rule cnf_or_pos :args (@t34)) % 0.37/0.57 (step @p38 :rule reordering :premises (@p37) :args ((or @t25 @t33 (not @t34)))) % 0.37/0.57 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p29) :args (@t33 @t35 (@list @t24 @t34))) % 0.37/0.57 (step @p40 :rule instantiate :premises (@p28) :args ((@list @t20 @t21 @t18))) % 0.37/0.57 (step @p41 :rule true_intro :premises (@p36)) % 0.37/0.57 (step @p42 :rule refl :args (@t19)) % 0.37/0.57 (step @p43 :rule instantiate :premises (@p1) :args ((@list @t21 @t20))) % 0.37/0.57 (step @p44 :rule symm :premises (@p43)) % 0.37/0.57 (step @p45 :rule cong :premises (@p44 @p42) :args (@t36)) % 0.37/0.57 (step @p46 :rule trans :premises (@p45 @p41)) % 0.37/0.57 (step @p47 :rule true_elim :premises (@p46)) % 0.37/0.57 (step @p48 :rule cnf_or_pos :args (@t39)) % 0.37/0.57 (step @p49 :rule reordering :premises (@p48) :args ((or @t38 @t37 (not @t39)))) % 0.37/0.57 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p40) :args (@t37 @t35 (@list @t36 @t39))) % 0.37/0.57 (assume-push @p67 @t33) % 0.37/0.57 (assume-push @p68 @t32) % 0.37/0.57 (assume-push @p69 @t37) % 0.37/0.57 (step @p20 :rule instantiate :premises (@p7) :args (@t31)) % 0.37/0.57 (step @p54 :rule cong :premises (@p39 @p50) :args (@t22)) % 0.37/0.57 (step @p55 :rule trans :premises (@p54 @p20)) % 0.37/0.57 (step-pop @p70 :rule scope :premises (@p55)) % 0.37/0.57 (step-pop @p71 :rule scope :premises (@p70)) % 0.37/0.57 (step-pop @p72 :rule scope :premises (@p71)) % 0.37/0.57 (step @p56 :rule process_scope :premises (@p72) :args (@t23)) % 0.37/0.57 (step @p60 :rule implies_elim :premises (@p56)) % 0.37/0.57 (step @p61 :rule cnf_and_neg :args (@t40)) % 0.37/0.57 (step @p62 :rule resolution :premises (@p61 @p60) :args (true @t40)) % 0.37/0.57 (step @p63 :rule reordering :premises (@p62) :args ((or @t23 (not @t33) (not @t32) (not @t37)))) % 0.37/0.57 (step @p64 false :rule chain_m_resolution :premises (@p63 @p50 @p39 @p25 @p15) :args (false (@list false false false true) (@list @t37 @t33 @t32 @t23))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------