%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET912+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 : n013.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 08:48:58 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET912+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n013.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:17:15 EDT 2026 % 0.18/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.56 (define @t3 () (tptp.in @t1 @t2)) % 0.38/0.56 (define @t4 () (@list @t1 @t2)) % 0.38/0.56 (define @t5 () (tptp.unordered_pair @t1 @t2)) % 0.38/0.56 (define @t6 () (tptp.set_intersection2 @t1 @t2)) % 0.38/0.56 (define @t7 () (tptp.empty @t1)) % 0.38/0.56 (define @t8 () (@list @t1)) % 0.38/0.56 (define @t9 () (tptp.subset @t1 @t2)) % 0.38/0.56 (define @t10 () (=> @t9 (= @t6 @t1))) % 0.38/0.56 (define @t11 () (forall @t4 @t10)) % 0.38/0.56 (define @t12 () (@var "C" $$unsorted)) % 0.38/0.56 (define @t13 () (@list @t1 @t2 @t12)) % 0.38/0.56 (define @t14 () (tptp.unordered_pair @t1 @t12)) % 0.38/0.56 (define @t15 () (tptp.set_intersection2 @t14 @t2)) % 0.38/0.56 (define @t16 () (tptp.in @t12 @t2)) % 0.38/0.56 (define @t17 () (and @t3 @t16)) % 0.38/0.56 (define @t18 () (=> @t17 (= @t15 @t14))) % 0.38/0.56 (define @t19 () (forall @t13 @t18)) % 0.38/0.56 (define @t20 () (not @t19)) % 0.38/0.56 (define @t21 () (= @t1 @t6)) % 0.38/0.56 (define @t22 () (= @t14 @t15)) % 0.38/0.56 (define @t23 () (not @t16)) % 0.38/0.56 (define @t24 () (not @t3)) % 0.38/0.56 (define @t25 () (or @t24 @t23 @t22)) % 0.38/0.56 (define @t26 () (forall @t13 @t25)) % 0.38/0.56 (define @t27 () (@quantifiers_skolemize @t26 1)) % 0.38/0.56 (define @t28 () (@quantifiers_skolemize @t26 2)) % 0.38/0.56 (define @t29 () (@quantifiers_skolemize @t26 0)) % 0.38/0.56 (define @t30 () (tptp.unordered_pair @t29 @t28)) % 0.38/0.56 (define @t31 () (= @t30 (tptp.set_intersection2 @t30 @t27))) % 0.38/0.56 (define @t32 () (tptp.in @t28 @t27)) % 0.38/0.56 (define @t33 () (not @t32)) % 0.38/0.56 (define @t34 () (tptp.in @t29 @t27)) % 0.38/0.56 (define @t35 () (not @t34)) % 0.38/0.56 (define @t36 () (or @t35 @t33 @t31)) % 0.38/0.56 (define @t37 () (@list true)) % 0.38/0.56 (define @t38 () (@list @t36)) % 0.38/0.56 (define @t39 () (tptp.subset @t30 @t27)) % 0.38/0.56 (define @t40 () (not @t39)) % 0.38/0.56 (define @t41 () (or @t40 @t31)) % 0.38/0.56 (define @t42 () (and @t34 @t32)) % 0.38/0.56 (define @t43 () (= @t39 @t42)) % 0.38/0.56 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.38/0.56 (assume @p2 (forall @t4 (= @t5 (tptp.unordered_pair @t2 @t1)))) % 0.38/0.56 (assume @p3 (forall @t4 (= @t6 (tptp.set_intersection2 @t2 @t1)))) % 0.38/0.56 (assume @p4 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.38/0.56 (assume @p5 (exists @t8 @t7)) % 0.38/0.56 (assume @p6 (exists @t8 (not @t7))) % 0.38/0.56 (assume @p7 (forall @t4 (tptp.subset @t1 @t1))) % 0.38/0.56 (assume @p8 @t11) % 0.38/0.56 (assume @p9 (forall @t13 (= (tptp.subset @t5 @t12) (and (tptp.in @t1 @t12) (tptp.in @t2 @t12))))) % 0.38/0.56 (assume @p10 @t20) % 0.38/0.56 (assume @p11 true) % 0.38/0.56 (step @p12 :rule bool-impl-elim :args (@t9 @t21)) % 0.38/0.56 (step @p13 :rule cong :premises (@p12) :args ((forall @t4 (=> @t9 @t21)))) % 0.38/0.56 (step @p14 :rule eq-symm :args (@t6 @t1)) % 0.38/0.56 (step @p15 :rule refl :args (@t9)) % 0.38/0.56 (step @p16 :rule cong :premises (@p15 @p14) :args (@t10)) % 0.38/0.56 (step @p17 :rule cong :premises (@p16) :args (@t11)) % 0.38/0.56 (step @p18 :rule trans :premises (@p17 @p13)) % 0.38/0.56 (step @p19 :rule eq_resolve :premises (@p8 @p18)) % 0.38/0.56 (step @p20 :rule instantiate :premises (@p19) :args ((@list @t30 @t27))) % 0.38/0.56 (step @p21 :rule aci_norm :args ((= (or (or @t24 @t23) @t22) @t25))) % 0.38/0.56 (step @p22 :rule refl :args (@t22)) % 0.38/0.56 (step @p23 :rule bool-and-de-morgan :args (@t3 @t16 true)) % 0.38/0.56 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t17) @t22))) % 0.38/0.56 (step @p25 :rule trans :premises (@p24 @p21)) % 0.38/0.56 (step @p26 :rule bool-impl-elim :args (@t17 @t22)) % 0.38/0.56 (step @p27 :rule trans :premises (@p26 @p25)) % 0.38/0.56 (step @p28 :rule cong :premises (@p27) :args ((forall @t13 (=> @t17 @t22)))) % 0.38/0.56 (step @p29 :rule eq-symm :args (@t15 @t14)) % 0.38/0.56 (step @p30 :rule refl :args (@t17)) % 0.38/0.56 (step @p31 :rule cong :premises (@p30 @p29) :args (@t18)) % 0.38/0.56 (step @p32 :rule cong :premises (@p31) :args (@t19)) % 0.38/0.56 (step @p33 :rule trans :premises (@p32 @p28)) % 0.38/0.56 (step @p34 :rule cong :premises (@p33) :args (@t20)) % 0.38/0.56 (step @p35 :rule eq_resolve :premises (@p10 @p34)) % 0.38/0.56 (step @p36 :rule skolemize :premises (@p35)) % 0.38/0.56 (step @p37 :rule cnf_or_neg :args (@t36 2)) % 0.38/0.56 (step @p38 :rule chain_m_resolution :premises (@p37 @p36) :args ((not @t31) @t37 @t38)) % 0.38/0.56 (step @p39 :rule cnf_or_pos :args (@t41)) % 0.38/0.56 (step @p40 :rule reordering :premises (@p39) :args ((or @t31 @t40 (not @t41)))) % 0.38/0.56 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p20) :args (@t40 (@list true false) (@list @t31 @t41))) % 0.38/0.56 (step @p42 :rule bool-double-not-elim :args (@t32)) % 0.38/0.56 (step @p43 :rule refl :args (@t36)) % 0.38/0.56 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t36 (not @t33)))) % 0.38/0.56 (step @p45 :rule cnf_or_neg :args (@t36 1)) % 0.38/0.56 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 0.38/0.56 (step @p47 :rule reordering :premises (@p46) :args ((or @t32 @t36))) % 0.38/0.56 (step @p48 :rule chain_m_resolution :premises (@p47 @p36) :args (@t32 @t37 @t38)) % 0.38/0.56 (step @p49 :rule bool-double-not-elim :args (@t34)) % 0.38/0.56 (step @p50 :rule nary_cong :premises (@p43 @p49) :args ((or @t36 (not @t35)))) % 0.38/0.56 (step @p51 :rule cnf_or_neg :args (@t36 0)) % 0.38/0.56 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.38/0.56 (step @p53 :rule reordering :premises (@p52) :args ((or @t34 @t36))) % 0.38/0.56 (step @p54 :rule chain_m_resolution :premises (@p53 @p36) :args (@t34 @t37 @t38)) % 0.38/0.56 (step @p55 :rule cnf_and_neg :args (@t42)) % 0.38/0.56 (step @p56 :rule reordering :premises (@p55) :args ((or @t35 @t33 @t42))) % 0.38/0.56 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p48) :args (@t42 (@list false false) (@list @t34 @t32))) % 0.38/0.56 (step @p58 :rule instantiate :premises (@p9) :args ((@list @t29 @t28 @t27))) % 0.38/0.56 (step @p59 :rule cnf_equiv_pos2 :args (@t43)) % 0.38/0.56 (step @p60 :rule reordering :premises (@p59) :args ((or @t39 (not @t42) (not @t43)))) % 0.38/0.56 (step @p61 false :rule chain_m_resolution :premises (@p60 @p58 @p57 @p41) :args (false (@list false false true) (@list @t43 @t42 @t39))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------