%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET987+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 : n021.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 08:49:06 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET987+1 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.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 16:23:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort $$unsorted 0) % 0.30/0.55 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (define @t1 () (@var "A" $$unsorted)) % 0.30/0.55 (define @t2 () (@var "B" $$unsorted)) % 0.30/0.55 (define @t3 () (not (tptp.in @t2 @t1))) % 0.30/0.55 (define @t4 () (tptp.in @t1 @t2)) % 0.30/0.55 (define @t5 () (@list @t1 @t2)) % 0.30/0.55 (define @t6 () (tptp.set_union2 @t2 @t1)) % 0.30/0.55 (define @t7 () (tptp.set_union2 @t1 @t2)) % 0.30/0.55 (define @t8 () (tptp.empty @t1)) % 0.30/0.55 (define @t9 () (not @t8)) % 0.30/0.55 (define @t10 () (@list @t1)) % 0.30/0.55 (define @t11 () (tptp.singleton @t1)) % 0.30/0.55 (define @t12 () (tptp.set_difference (tptp.set_union2 @t2 @t11) @t11)) % 0.30/0.55 (define @t13 () (not @t4)) % 0.30/0.55 (define @t14 () (=> @t13 (= @t12 @t2))) % 0.30/0.55 (define @t15 () (forall @t5 @t14)) % 0.30/0.55 (define @t16 () (not @t15)) % 0.30/0.55 (define @t17 () (tptp.set_difference @t1 (tptp.singleton @t2))) % 0.30/0.55 (define @t18 () (= @t17 @t1)) % 0.30/0.55 (define @t19 () (forall @t5 (= @t18 @t3))) % 0.30/0.55 (define @t20 () (= @t2 @t12)) % 0.30/0.55 (define @t21 () (forall @t5 (or @t4 @t20))) % 0.30/0.55 (define @t22 () (@quantifiers_skolemize @t21 0)) % 0.30/0.55 (define @t23 () (tptp.singleton @t22)) % 0.30/0.55 (define @t24 () (@quantifiers_skolemize @t21 1)) % 0.30/0.55 (define @t25 () (tptp.set_difference (tptp.set_union2 @t24 @t23) @t23)) % 0.30/0.55 (define @t26 () (= @t24 @t25)) % 0.30/0.55 (define @t27 () (tptp.in @t22 @t24)) % 0.30/0.55 (define @t28 () (or @t27 @t26)) % 0.30/0.55 (define @t29 () (not @t26)) % 0.30/0.55 (define @t30 () (@list true)) % 0.30/0.55 (define @t31 () (@list @t28)) % 0.30/0.55 (define @t32 () (not @t27)) % 0.30/0.55 (define @t33 () (tptp.set_difference @t24 @t23)) % 0.30/0.55 (define @t34 () (= @t24 @t33)) % 0.30/0.55 (define @t35 () (= @t32 @t34)) % 0.30/0.55 (define @t36 () (not @t35)) % 0.30/0.55 (define @t37 () (not @t34)) % 0.30/0.55 (define @t38 () (= @t25 @t33)) % 0.30/0.55 (define @t39 () (not @t38)) % 0.30/0.55 (define @t40 () (and @t29 @t38)) % 0.30/0.55 (assume @p1 (forall @t5 (=> @t4 @t3))) % 0.30/0.55 (assume @p2 (forall @t5 (= @t7 @t6))) % 0.30/0.55 (assume @p3 (forall @t5 (=> @t9 (not (tptp.empty @t7))))) % 0.30/0.55 (assume @p4 (forall @t5 (=> @t9 (not (tptp.empty @t6))))) % 0.30/0.55 (assume @p5 (forall @t5 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.30/0.55 (assume @p6 (exists @t10 @t8)) % 0.30/0.55 (assume @p7 (exists @t10 @t9)) % 0.30/0.55 (assume @p8 @t16) % 0.30/0.55 (assume @p9 (forall @t5 (= (tptp.set_difference @t7 @t2) (tptp.set_difference @t1 @t2)))) % 0.30/0.55 (assume @p10 @t19) % 0.30/0.55 (assume @p11 true) % 0.30/0.55 (step @p12 :rule refl :args (@t20)) % 0.30/0.55 (step @p13 :rule bool-double-not-elim :args (@t4)) % 0.30/0.55 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or (not @t13) @t20))) % 0.30/0.55 (step @p15 :rule bool-impl-elim :args (@t13 @t20)) % 0.30/0.55 (step @p16 :rule trans :premises (@p15 @p14)) % 0.30/0.55 (step @p17 :rule cong :premises (@p16) :args ((forall @t5 (=> @t13 @t20)))) % 0.30/0.55 (step @p18 :rule eq-symm :args (@t12 @t2)) % 0.30/0.55 (step @p19 :rule refl :args (@t13)) % 0.30/0.55 (step @p20 :rule cong :premises (@p19 @p18) :args (@t14)) % 0.30/0.55 (step @p21 :rule cong :premises (@p20) :args (@t15)) % 0.30/0.55 (step @p22 :rule trans :premises (@p21 @p17)) % 0.30/0.55 (step @p23 :rule cong :premises (@p22) :args (@t16)) % 0.30/0.55 (step @p24 :rule eq_resolve :premises (@p8 @p23)) % 0.30/0.55 (step @p25 :rule skolemize :premises (@p24)) % 0.30/0.55 (step @p26 :rule cnf_or_neg :args (@t28 1)) % 0.30/0.55 (step @p27 :rule chain_m_resolution :premises (@p26 @p25) :args (@t29 @t30 @t31)) % 0.30/0.55 (step @p28 :rule instantiate :premises (@p9) :args ((@list @t24 @t23))) % 0.30/0.55 (step @p29 :rule eq-symm :args (@t17 @t1)) % 0.30/0.55 (step @p30 :rule refl :args (@t3)) % 0.30/0.55 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t3 @t18))) % 0.30/0.55 (step @p32 :rule eq-symm :args (@t18 @t3)) % 0.30/0.55 (step @p33 :rule trans :premises (@p32 @p31)) % 0.30/0.55 (step @p34 :rule cong :premises (@p33) :args (@t19)) % 0.30/0.55 (step @p35 :rule eq_resolve :premises (@p10 @p34)) % 0.30/0.55 (step @p36 :rule instantiate :premises (@p35) :args ((@list @t24 @t22))) % 0.30/0.55 (step @p37 :rule cnf_or_neg :args (@t28 0)) % 0.30/0.55 (step @p38 :rule chain_m_resolution :premises (@p37 @p25) :args (@t32 @t30 @t31)) % 0.30/0.55 (step @p39 :rule refl :args (@t34)) % 0.30/0.55 (step @p40 :rule bool-double-not-elim :args (@t27)) % 0.30/0.55 (step @p41 :rule refl :args (@t36)) % 0.30/0.55 (step @p42 :rule nary_cong :premises (@p41 @p40 @p39) :args ((or @t36 (not @t32) @t34))) % 0.30/0.55 (step @p43 :rule cnf_equiv_pos1 :args (@t35)) % 0.30/0.55 (step @p44 :rule eq_resolve :premises (@p43 @p42)) % 0.30/0.55 (step @p45 :rule reordering :premises (@p44) :args ((or @t27 @t34 @t36))) % 0.30/0.55 (step @p46 :rule chain_m_resolution :premises (@p45 @p38 @p36) :args (@t34 (@list true false) (@list @t27 @t35))) % 0.30/0.55 (step @p47 :rule refl :args (@t37)) % 0.30/0.55 (step @p48 :rule refl :args (@t39)) % 0.30/0.55 (step @p49 :rule bool-double-not-elim :args (@t26)) % 0.30/0.55 (step @p50 :rule nary_cong :premises (@p49 @p48 @p47) :args ((or (not @t29) @t39 @t37))) % 0.30/0.55 (assume-push @p67 @t29) % 0.30/0.55 (assume-push @p68 @t38) % 0.30/0.55 (step @p53 :rule false_intro :premises (@p27)) % 0.30/0.55 (step @p54 :rule symm :premises (@p28)) % 0.30/0.55 (step @p55 :rule refl :args (@t24)) % 0.30/0.55 (step @p56 :rule cong :premises (@p55 @p54) :args (@t34)) % 0.30/0.55 (step @p57 :rule trans :premises (@p56 @p53)) % 0.30/0.55 (step @p58 :rule false_elim :premises (@p57)) % 0.30/0.55 (step-pop @p69 :rule scope :premises (@p58)) % 0.30/0.55 (step-pop @p70 :rule scope :premises (@p69)) % 0.30/0.55 (step @p59 :rule process_scope :premises (@p70) :args (@t37)) % 0.30/0.55 (step @p62 :rule implies_elim :premises (@p59)) % 0.32/0.55 (step @p63 :rule cnf_and_neg :args (@t40)) % 0.32/0.55 (step @p64 :rule resolution :premises (@p63 @p62) :args (true @t40)) % 0.32/0.55 (step @p65 :rule eq_resolve :premises (@p64 @p50)) % 0.32/0.55 (step @p66 false :rule chain_m_resolution :premises (@p65 @p46 @p28 @p27) :args (false (@list false false true) (@list @t34 @t38 @t26))) % 0.32/0.55 ) % 0.32/0.55 % SZS output end Proof % 0.32/0.55 % cvc5 exiting %------------------------------------------------------------------------------