%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET926+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:49:00 AM UTC 2026 % Result : Theorem 0.15s 0.36s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET926+1 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 16:17:48 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.36 % SZS status Theorem % 0.15/0.36 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (declare-sort $$unsorted 0) % 0.15/0.36 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.empty_set $$unsorted) % 0.15/0.36 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.15/0.36 (define @t1 () (@var "A" $$unsorted)) % 0.15/0.36 (define @t2 () (@var "B" $$unsorted)) % 0.15/0.36 (define @t3 () (tptp.in @t1 @t2)) % 0.15/0.36 (define @t4 () (@list @t1 @t2)) % 0.15/0.36 (define @t5 () (not @t3)) % 0.15/0.36 (define @t6 () (tptp.singleton @t1)) % 0.15/0.36 (define @t7 () (tptp.set_difference @t6 @t2)) % 0.15/0.36 (define @t8 () (= @t7 @t6)) % 0.15/0.36 (define @t9 () (= @t8 @t5)) % 0.15/0.36 (define @t10 () (forall @t4 @t9)) % 0.15/0.36 (define @t11 () (= @t7 tptp.empty_set)) % 0.15/0.36 (define @t12 () (forall @t4 (= @t11 @t3))) % 0.15/0.36 (define @t13 () (tptp.empty @t1)) % 0.15/0.36 (define @t14 () (@list @t1)) % 0.15/0.36 (define @t15 () (or @t11 @t8)) % 0.15/0.36 (define @t16 () (forall @t4 @t15)) % 0.15/0.36 (define @t17 () (not @t16)) % 0.15/0.36 (define @t18 () (= @t6 @t7)) % 0.15/0.36 (define @t19 () (= tptp.empty_set @t7)) % 0.15/0.36 (define @t20 () (forall @t4 (or @t19 @t18))) % 0.15/0.36 (define @t21 () (@quantifiers_skolemize @t20 1)) % 0.15/0.36 (define @t22 () (@quantifiers_skolemize @t20 0)) % 0.15/0.36 (define @t23 () (tptp.singleton @t22)) % 0.15/0.36 (define @t24 () (tptp.set_difference @t23 @t21)) % 0.15/0.36 (define @t25 () (= @t23 @t24)) % 0.15/0.36 (define @t26 () (= tptp.empty_set @t24)) % 0.15/0.36 (define @t27 () (or @t26 @t25)) % 0.15/0.36 (define @t28 () (@list true)) % 0.15/0.36 (define @t29 () (@list @t27)) % 0.15/0.36 (define @t30 () (tptp.in @t22 @t21)) % 0.15/0.36 (define @t31 () (forall @t4 (= @t3 @t19))) % 0.15/0.36 (define @t32 () (= @t30 @t26)) % 0.15/0.36 (define @t33 () (@list @t22 @t21)) % 0.15/0.36 (define @t34 () (= @t26 @t30)) % 0.15/0.36 (define @t35 () (@list false)) % 0.15/0.36 (define @t36 () (not @t30)) % 0.15/0.36 (define @t37 () (forall @t4 (= @t5 @t18))) % 0.15/0.36 (define @t38 () (= @t36 @t25)) % 0.15/0.36 (define @t39 () (= @t25 @t36)) % 0.15/0.36 (define @t40 () (not @t39)) % 0.15/0.36 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.15/0.36 (assume @p2 (tptp.empty tptp.empty_set)) % 0.15/0.36 (assume @p3 @t10) % 0.15/0.36 (assume @p4 @t12) % 0.15/0.36 (assume @p5 (exists @t14 @t13)) % 0.15/0.36 (assume @p6 (exists @t14 (not @t13))) % 0.15/0.36 (assume @p7 @t17) % 0.15/0.36 (assume @p8 true) % 0.15/0.36 (step @p9 :rule eq-symm :args (@t7 @t6)) % 0.15/0.36 (step @p10 :rule eq-symm :args (@t7 tptp.empty_set)) % 0.15/0.36 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t15)) % 0.15/0.36 (step @p12 :rule cong :premises (@p11) :args (@t16)) % 0.15/0.36 (step @p13 :rule cong :premises (@p12) :args (@t17)) % 0.15/0.36 (step @p14 :rule eq_resolve :premises (@p7 @p13)) % 0.15/0.36 (step @p15 :rule skolemize :premises (@p14)) % 0.15/0.36 (step @p16 :rule cnf_or_neg :args (@t27 0)) % 0.15/0.36 (step @p17 :rule chain_m_resolution :premises (@p16 @p15) :args ((not @t26) @t28 @t29)) % 0.15/0.36 (step @p18 :rule refl :args (@t3)) % 0.15/0.36 (step @p19 :rule cong :premises (@p18 @p10) :args ((= @t3 @t11))) % 0.15/0.36 (step @p20 :rule eq-symm :args (@t11 @t3)) % 0.15/0.36 (step @p21 :rule trans :premises (@p20 @p19)) % 0.15/0.36 (step @p22 :rule cong :premises (@p21) :args (@t12)) % 0.15/0.36 (step @p23 :rule eq_resolve :premises (@p4 @p22)) % 0.15/0.36 (step @p24 :rule eq-symm :args (@t30 @t26)) % 0.15/0.36 (step @p25 :rule refl :args (@t31)) % 0.15/0.36 (step @p26 :rule cong :premises (@p25 @p24) :args ((=> @t31 @t32))) % 0.15/0.36 (assume-push @p63 @t31) % 0.15/0.36 (step @p28 :rule instantiate :premises (@p23) :args (@t33)) % 0.15/0.36 (step-pop @p64 :rule scope :premises (@p28)) % 0.15/0.36 (step @p29 :rule process_scope :premises (@p64) :args (@t32)) % 0.15/0.36 (step @p31 :rule eq_resolve :premises (@p29 @p26)) % 0.15/0.36 (step @p32 :rule implies_elim :premises (@p31)) % 0.15/0.36 (step @p33 :rule chain_m_resolution :premises (@p32 @p23) :args (@t34 @t35 (@list @t31))) % 0.15/0.36 (step @p34 :rule eq-symm :args (@t18 @t5)) % 0.15/0.36 (step @p35 :rule refl :args (@t5)) % 0.15/0.36 (step @p36 :rule cong :premises (@p9 @p35) :args (@t9)) % 0.15/0.36 (step @p37 :rule trans :premises (@p36 @p34)) % 0.15/0.36 (step @p38 :rule cong :premises (@p37) :args (@t10)) % 0.15/0.36 (step @p39 :rule eq_resolve :premises (@p3 @p38)) % 0.15/0.36 (step @p40 :rule eq-symm :args (@t36 @t25)) % 0.15/0.36 (step @p41 :rule refl :args (@t37)) % 0.15/0.36 (step @p42 :rule cong :premises (@p41 @p40) :args ((=> @t37 @t38))) % 0.15/0.36 (assume-push @p65 @t37) % 0.15/0.36 (step @p44 :rule instantiate :premises (@p39) :args (@t33)) % 0.15/0.36 (step-pop @p66 :rule scope :premises (@p44)) % 0.15/0.36 (step @p45 :rule process_scope :premises (@p66) :args (@t38)) % 0.15/0.36 (step @p47 :rule eq_resolve :premises (@p45 @p42)) % 0.15/0.36 (step @p48 :rule implies_elim :premises (@p47)) % 0.15/0.36 (step @p49 :rule chain_m_resolution :premises (@p48 @p39) :args (@t39 @t35 (@list @t37))) % 0.15/0.36 (step @p50 :rule cnf_or_neg :args (@t27 1)) % 0.15/0.36 (step @p51 :rule chain_m_resolution :premises (@p50 @p15) :args ((not @t25) @t28 @t29)) % 0.15/0.36 (step @p52 :rule bool-double-not-elim :args (@t30)) % 0.15/0.36 (step @p53 :rule refl :args (@t25)) % 0.15/0.36 (step @p54 :rule refl :args (@t40)) % 0.15/0.36 (step @p55 :rule nary_cong :premises (@p54 @p53 @p52) :args ((or @t40 @t25 (not @t36)))) % 0.15/0.36 (step @p56 :rule cnf_equiv_pos2 :args (@t39)) % 0.15/0.36 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.15/0.36 (step @p58 :rule reordering :premises (@p57) :args ((or @t25 @t30 @t40))) % 0.15/0.36 (step @p59 :rule chain_m_resolution :premises (@p58 @p51 @p49) :args (@t30 (@list true false) (@list @t25 @t39))) % 0.15/0.36 (step @p60 :rule cnf_equiv_pos2 :args (@t34)) % 0.15/0.36 (step @p61 :rule reordering :premises (@p60) :args ((or @t26 @t36 (not @t34)))) % 0.15/0.36 (step @p62 false :rule chain_m_resolution :premises (@p61 @p59 @p33 @p17) :args (false (@list false false true) (@list @t30 @t34 @t26))) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------