%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET891+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 : n023.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 08:48:56 AM UTC 2026 % Result : Theorem 0.32s 0.57s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SET891+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n023.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:17:58 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.57 % SZS status Theorem % 0.32/0.57 % SZS output start Proof % 0.32/0.57 ( % 0.32/0.57 (declare-sort $$unsorted 0) % 0.32/0.57 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.32/0.57 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.32/0.57 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.32/0.57 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.57 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.32/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.32/0.57 (define @t3 () (tptp.unordered_pair @t1 @t2)) % 0.32/0.57 (define @t4 () (@list @t1 @t2)) % 0.32/0.57 (define @t5 () (tptp.set_union2 @t2 @t1)) % 0.32/0.57 (define @t6 () (tptp.set_union2 @t1 @t2)) % 0.32/0.57 (define @t7 () (tptp.empty @t1)) % 0.32/0.57 (define @t8 () (not @t7)) % 0.32/0.57 (define @t9 () (tptp.union @t3)) % 0.32/0.57 (define @t10 () (forall @t4 (= @t9 @t6))) % 0.32/0.57 (define @t11 () (@list @t1)) % 0.32/0.57 (define @t12 () (tptp.singleton @t2)) % 0.32/0.57 (define @t13 () (tptp.singleton @t1)) % 0.32/0.57 (define @t14 () (tptp.union (tptp.unordered_pair @t13 @t12))) % 0.32/0.57 (define @t15 () (forall @t4 (= @t14 @t3))) % 0.32/0.57 (define @t16 () (not @t15)) % 0.32/0.57 (define @t17 () (forall @t4 (= @t3 @t14))) % 0.32/0.57 (define @t18 () (@quantifiers_skolemize @t17 1)) % 0.32/0.57 (define @t19 () (tptp.singleton @t18)) % 0.32/0.57 (define @t20 () (@quantifiers_skolemize @t17 0)) % 0.32/0.57 (define @t21 () (tptp.singleton @t20)) % 0.32/0.57 (define @t22 () (tptp.set_union2 @t21 @t19)) % 0.32/0.57 (define @t23 () (tptp.union (tptp.unordered_pair @t21 @t19))) % 0.32/0.57 (define @t24 () (forall @t4 (= @t6 @t9))) % 0.32/0.57 (define @t25 () (= @t22 @t23)) % 0.32/0.57 (define @t26 () (@list @t21 @t19)) % 0.32/0.57 (define @t27 () (= @t23 @t22)) % 0.32/0.57 (define @t28 () (tptp.unordered_pair @t20 @t18)) % 0.32/0.57 (define @t29 () (= @t28 @t22)) % 0.32/0.57 (define @t30 () (not @t29)) % 0.32/0.57 (define @t31 () (not @t27)) % 0.32/0.57 (define @t32 () (= @t28 @t23)) % 0.32/0.57 (define @t33 () (not @t32)) % 0.32/0.57 (define @t34 () (and @t33 @t27)) % 0.32/0.57 (assume @p1 (forall @t4 (= @t3 (tptp.unordered_pair @t2 @t1)))) % 0.32/0.57 (assume @p2 (forall @t4 (= @t6 @t5))) % 0.32/0.57 (assume @p3 (forall @t4 (=> @t8 (not (tptp.empty @t6))))) % 0.32/0.57 (assume @p4 (forall @t4 (=> @t8 (not (tptp.empty @t5))))) % 0.32/0.57 (assume @p5 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.32/0.57 (assume @p6 @t10) % 0.32/0.57 (assume @p7 (exists @t11 @t7)) % 0.32/0.57 (assume @p8 (exists @t11 @t8)) % 0.32/0.57 (assume @p9 @t16) % 0.32/0.57 (assume @p10 (forall @t4 (= @t3 (tptp.set_union2 @t13 @t12)))) % 0.32/0.57 (assume @p11 true) % 0.32/0.57 (step @p12 :rule eq-symm :args (@t14 @t3)) % 0.32/0.57 (step @p13 :rule cong :premises (@p12) :args (@t15)) % 0.32/0.57 (step @p14 :rule cong :premises (@p13) :args (@t16)) % 0.32/0.57 (step @p15 :rule eq_resolve :premises (@p9 @p14)) % 0.32/0.57 (step @p16 :rule skolemize :premises (@p15)) % 0.32/0.57 (step @p17 :rule eq-symm :args (@t9 @t6)) % 0.32/0.57 (step @p18 :rule cong :premises (@p17) :args (@t10)) % 0.32/0.57 (step @p19 :rule eq_resolve :premises (@p6 @p18)) % 0.32/0.57 (step @p20 :rule eq-symm :args (@t22 @t23)) % 0.32/0.57 (step @p21 :rule refl :args (@t24)) % 0.32/0.57 (step @p22 :rule cong :premises (@p21 @p20) :args ((=> @t24 @t25))) % 0.32/0.57 (assume-push @p50 @t24) % 0.32/0.57 (step @p24 :rule instantiate :premises (@p19) :args (@t26)) % 0.32/0.57 (step-pop @p51 :rule scope :premises (@p24)) % 0.32/0.57 (step @p25 :rule process_scope :premises (@p51) :args (@t25)) % 0.32/0.57 (step @p27 :rule eq_resolve :premises (@p25 @p22)) % 0.32/0.57 (step @p28 :rule implies_elim :premises (@p27)) % 0.32/0.57 (step @p29 :rule chain_m_resolution :premises (@p28 @p19) :args (@t27 (@list false) (@list @t24))) % 0.32/0.57 (step @p30 :rule instantiate :premises (@p10) :args ((@list @t20 @t18))) % 0.32/0.57 (step @p31 :rule refl :args (@t30)) % 0.32/0.57 (step @p32 :rule refl :args (@t31)) % 0.32/0.57 (step @p33 :rule bool-double-not-elim :args (@t32)) % 0.32/0.57 (step @p34 :rule nary_cong :premises (@p33 @p32 @p31) :args ((or (not @t33) @t31 @t30))) % 0.32/0.57 (assume-push @p52 @t33) % 0.32/0.57 (assume-push @p53 @t27) % 0.32/0.57 (step @p37 :rule false_intro :premises (@p16)) % 0.32/0.57 (step @p24 :rule instantiate :premises (@p19) :args (@t26)) % 0.32/0.57 (step @p38 :rule refl :args (@t28)) % 0.32/0.57 (step @p39 :rule cong :premises (@p38 @p24) :args (@t29)) % 0.32/0.57 (step @p40 :rule trans :premises (@p39 @p37)) % 0.32/0.57 (step @p41 :rule false_elim :premises (@p40)) % 0.32/0.57 (step-pop @p54 :rule scope :premises (@p41)) % 0.32/0.57 (step-pop @p55 :rule scope :premises (@p54)) % 0.32/0.57 (step @p42 :rule process_scope :premises (@p55) :args (@t30)) % 0.32/0.57 (step @p45 :rule implies_elim :premises (@p42)) % 0.32/0.57 (step @p46 :rule cnf_and_neg :args (@t34)) % 0.32/0.57 (step @p47 :rule resolution :premises (@p46 @p45) :args (true @t34)) % 0.32/0.57 (step @p48 :rule eq_resolve :premises (@p47 @p34)) % 0.32/0.57 (step @p49 false :rule chain_m_resolution :premises (@p48 @p30 @p29 @p16) :args (false (@list false false true) (@list @t29 @t27 @t32))) % 0.32/0.57 ) % 0.32/0.57 % SZS output end Proof % 0.32/0.57 % cvc5 exiting %------------------------------------------------------------------------------