%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET185+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:47:35 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET185+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.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 15:08:30 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "D" $$unsorted)) % 0.38/0.57 (define @t3 () (tptp.member @t2 @t1)) % 0.38/0.57 (define @t4 () (@var "B" $$unsorted)) % 0.38/0.57 (define @t5 () (tptp.member @t2 @t4)) % 0.38/0.57 (define @t6 () (tptp.union @t4 @t1)) % 0.38/0.57 (define @t7 () (@list @t2)) % 0.38/0.57 (define @t8 () (forall @t7 (=> @t5 @t3))) % 0.38/0.57 (define @t9 () (tptp.subset @t4 @t1)) % 0.38/0.57 (define @t10 () (= @t9 @t8)) % 0.38/0.57 (define @t11 () (@list @t4 @t1)) % 0.38/0.57 (define @t12 () (forall @t11 @t10)) % 0.38/0.57 (define @t13 () (= @t4 @t1)) % 0.38/0.57 (define @t14 () (=> @t9 (= @t6 @t1))) % 0.38/0.57 (define @t15 () (forall @t11 @t14)) % 0.38/0.57 (define @t16 () (not @t15)) % 0.38/0.57 (define @t17 () (= @t1 @t6)) % 0.38/0.57 (define @t18 () (forall @t11 (or (not @t9) @t17))) % 0.38/0.57 (define @t19 () (@quantifiers_skolemize @t18 1)) % 0.38/0.57 (define @t20 () (@quantifiers_skolemize @t18 0)) % 0.38/0.57 (define @t21 () (tptp.union @t20 @t19)) % 0.38/0.57 (define @t22 () (tptp.member @t2 @t19)) % 0.38/0.57 (define @t23 () (forall @t7 (= @t22 (tptp.member @t2 @t21)))) % 0.38/0.57 (define @t24 () (@quantifiers_skolemize @t23 0)) % 0.38/0.57 (define @t25 () (= @t19 @t21)) % 0.38/0.57 (define @t26 () (tptp.subset @t20 @t19)) % 0.38/0.57 (define @t27 () (not @t26)) % 0.38/0.57 (define @t28 () (or @t27 @t25)) % 0.38/0.57 (define @t29 () (@list true)) % 0.38/0.57 (define @t30 () (@list @t28)) % 0.38/0.57 (define @t31 () (= @t25 @t23)) % 0.38/0.57 (define @t32 () (not @t23)) % 0.38/0.57 (define @t33 () (@list true false)) % 0.38/0.57 (define @t34 () (tptp.member @t24 @t21)) % 0.38/0.57 (define @t35 () (tptp.member @t24 @t19)) % 0.38/0.57 (define @t36 () (= @t35 @t34)) % 0.38/0.57 (define @t37 () (forall @t7 (or (not (tptp.member @t2 @t20)) @t22))) % 0.38/0.57 (define @t38 () (= @t26 @t37)) % 0.38/0.57 (define @t39 () (tptp.member @t24 @t20)) % 0.38/0.57 (define @t40 () (not @t39)) % 0.38/0.57 (define @t41 () (or @t40 @t35)) % 0.38/0.57 (define @t42 () (or @t39 @t35)) % 0.38/0.57 (define @t43 () (= @t34 @t42)) % 0.38/0.57 (define @t44 () (not @t43)) % 0.38/0.57 (define @t45 () (not @t34)) % 0.38/0.57 (define @t46 () (not @t42)) % 0.38/0.57 (assume @p1 (forall (@list @t4 @t1 @t2) (= (tptp.member @t2 @t6) (or @t5 @t3)))) % 0.38/0.57 (assume @p2 @t12) % 0.38/0.57 (assume @p3 (forall @t11 (= @t13 (and @t9 (tptp.subset @t1 @t4))))) % 0.38/0.57 (assume @p4 (forall @t11 (= @t6 (tptp.union @t1 @t4)))) % 0.38/0.57 (assume @p5 (forall (@list @t4) (tptp.subset @t4 @t4))) % 0.38/0.57 (assume @p6 (forall @t11 (= @t13 (forall @t7 (= @t5 @t3))))) % 0.38/0.57 (assume @p7 @t16) % 0.38/0.57 (assume @p8 true) % 0.38/0.57 (step @p9 :rule instantiate :premises (@p1) :args ((@list @t20 @t19 @t24))) % 0.38/0.57 (step @p10 :rule instantiate :premises (@p6) :args ((@list @t19 @t21))) % 0.38/0.57 (step @p11 :rule bool-impl-elim :args (@t9 @t17)) % 0.38/0.57 (step @p12 :rule cong :premises (@p11) :args ((forall @t11 (=> @t9 @t17)))) % 0.38/0.57 (step @p13 :rule eq-symm :args (@t6 @t1)) % 0.38/0.57 (step @p14 :rule refl :args (@t9)) % 0.38/0.57 (step @p15 :rule cong :premises (@p14 @p13) :args (@t14)) % 0.38/0.57 (step @p16 :rule cong :premises (@p15) :args (@t15)) % 0.38/0.57 (step @p17 :rule trans :premises (@p16 @p12)) % 0.38/0.57 (step @p18 :rule cong :premises (@p17) :args (@t16)) % 0.38/0.57 (step @p19 :rule eq_resolve :premises (@p7 @p18)) % 0.38/0.57 (step @p20 :rule skolemize :premises (@p19)) % 0.38/0.57 (step @p21 :rule cnf_or_neg :args (@t28 1)) % 0.38/0.57 (step @p22 :rule chain_m_resolution :premises (@p21 @p20) :args ((not @t25) @t29 @t30)) % 0.38/0.57 (step @p23 :rule cnf_equiv_pos2 :args (@t31)) % 0.38/0.57 (step @p24 :rule reordering :premises (@p23) :args ((or @t25 @t32 (not @t31)))) % 0.38/0.57 (step @p25 :rule chain_m_resolution :premises (@p24 @p22 @p10) :args (@t32 @t33 (@list @t25 @t31))) % 0.38/0.57 (step @p26 :rule skolemize :premises (@p25)) % 0.38/0.57 (step @p27 :rule cnf_equiv_neg1 :args (@t36)) % 0.38/0.57 (step @p28 :rule reordering :premises (@p27) :args ((or @t35 @t34 @t36))) % 0.38/0.57 (step @p29 :rule bool-impl-elim :args (@t5 @t3)) % 0.38/0.57 (step @p30 :rule cong :premises (@p29) :args (@t8)) % 0.38/0.57 (step @p31 :rule cong :premises (@p14 @p30) :args (@t10)) % 0.38/0.57 (step @p32 :rule cong :premises (@p31) :args (@t12)) % 0.38/0.57 (step @p33 :rule eq_resolve :premises (@p2 @p32)) % 0.38/0.57 (step @p34 :rule instantiate :premises (@p33) :args ((@list @t20 @t19))) % 0.38/0.57 (step @p35 :rule bool-double-not-elim :args (@t26)) % 0.38/0.57 (step @p36 :rule refl :args (@t28)) % 0.38/0.57 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t28 (not @t27)))) % 0.38/0.57 (step @p38 :rule cnf_or_neg :args (@t28 0)) % 0.38/0.57 (step @p39 :rule eq_resolve :premises (@p38 @p37)) % 0.38/0.57 (step @p40 :rule reordering :premises (@p39) :args ((or @t26 @t28))) % 0.38/0.57 (step @p41 :rule chain_m_resolution :premises (@p40 @p20) :args (@t26 @t29 @t30)) % 0.38/0.57 (step @p42 :rule cnf_equiv_pos1 :args (@t38)) % 0.38/0.57 (step @p43 :rule reordering :premises (@p42) :args ((or @t27 @t37 (not @t38)))) % 0.38/0.57 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p34) :args (@t37 (@list false false) (@list @t26 @t38))) % 0.38/0.57 (step @p45 :rule instantiate :premises (@p44) :args ((@list @t24))) % 0.38/0.57 (step @p46 :rule cnf_or_pos :args (@t41)) % 0.38/0.57 (step @p47 :rule reordering :premises (@p46) :args ((or @t35 @t40 (not @t41)))) % 0.38/0.57 (step @p48 :rule cnf_equiv_pos1 :args (@t43)) % 0.38/0.57 (step @p49 :rule reordering :premises (@p48) :args ((or @t45 @t42 @t44))) % 0.38/0.57 (step @p50 :rule cnf_or_pos :args (@t42)) % 0.38/0.57 (step @p51 :rule reordering :premises (@p50) :args ((or @t35 @t39 @t46))) % 0.38/0.57 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p9 @p47 @p45 @p28 @p26) :args (@t35 (@list false false true false false true) (@list @t42 @t43 @t39 @t41 @t34 @t36))) % 0.38/0.57 (step @p53 :rule cnf_equiv_neg2 :args (@t36)) % 0.38/0.57 (step @p54 :rule chain_m_resolution :premises (@p53 @p26 @p52) :args (@t45 @t33 (@list @t36 @t35))) % 0.38/0.57 (step @p55 :rule cnf_or_neg :args (@t42 1)) % 0.38/0.57 (step @p56 :rule reordering :premises (@p55) :args ((or (not @t35) @t42))) % 0.38/0.57 (step @p57 :rule chain_m_resolution :premises (@p56 @p52) :args (@t42 (@list false) (@list @t35))) % 0.38/0.57 (step @p58 :rule cnf_equiv_pos2 :args (@t43)) % 0.38/0.57 (step @p59 :rule reordering :premises (@p58) :args ((or @t34 @t46 @t44))) % 0.38/0.57 (step @p60 false :rule chain_m_resolution :premises (@p59 @p57 @p54 @p9) :args (false (@list false true false) (@list @t42 @t34 @t43))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------