%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET047+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:47:08 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET047+1 : TPTP v9.2.1. Released v2.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n014.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 14:48:13 EDT 2026 % 0.18/0.34 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.set_equal (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (define @t1 () (@var "Y" $$unsorted)) % 0.39/0.56 (define @t2 () (@var "Z" $$unsorted)) % 0.39/0.56 (define @t3 () (@var "X" $$unsorted)) % 0.39/0.56 (define @t4 () (@list @t2)) % 0.39/0.56 (define @t5 () (tptp.set_equal @t3 @t1)) % 0.39/0.56 (define @t6 () (@list @t3 @t1)) % 0.39/0.56 (define @t7 () (forall @t6 (= @t5 (forall @t4 (= (tptp.element @t2 @t3) (tptp.element @t2 @t1)))))) % 0.39/0.56 (define @t8 () (forall @t6 (= @t5 (tptp.set_equal @t1 @t3)))) % 0.39/0.56 (define @t9 () (@quantifiers_skolemize @t8 1)) % 0.39/0.56 (define @t10 () (@quantifiers_skolemize @t8 0)) % 0.39/0.56 (define @t11 () (tptp.element @t2 @t9)) % 0.39/0.56 (define @t12 () (tptp.element @t2 @t10)) % 0.39/0.56 (define @t13 () (forall @t4 (= @t12 @t11))) % 0.39/0.56 (define @t14 () (tptp.set_equal @t10 @t9)) % 0.39/0.56 (define @t15 () (= @t14 @t13)) % 0.39/0.56 (define @t16 () (not @t15)) % 0.39/0.56 (define @t17 () (forall @t4 (= @t11 @t12))) % 0.39/0.56 (define @t18 () (tptp.set_equal @t9 @t10)) % 0.39/0.56 (define @t19 () (= @t18 @t17)) % 0.39/0.56 (define @t20 () (= @t18 @t13)) % 0.39/0.56 (define @t21 () (not @t20)) % 0.39/0.56 (define @t22 () (= @t14 @t18)) % 0.39/0.56 (define @t23 () (not @t13)) % 0.39/0.56 (define @t24 () (@list false false)) % 0.39/0.56 (assume @p1 @t7) % 0.39/0.56 (assume @p2 (not @t8)) % 0.39/0.56 (assume @p3 true) % 0.39/0.56 (step @p4 :rule skolemize :premises (@p2)) % 0.39/0.56 (step @p5 :rule instantiate :premises (@p1) :args ((@list @t10 @t9))) % 0.39/0.56 (step @p6 :rule cnf_equiv_pos1 :args (@t15)) % 0.39/0.56 (step @p7 :rule reordering :premises (@p6) :args ((or (not @t14) @t13 @t16))) % 0.39/0.56 (step @p8 :rule eq-symm :args (@t11 @t12)) % 0.39/0.56 (step @p9 :rule cong :premises (@p8) :args (@t17)) % 0.39/0.56 (step @p10 :rule refl :args (@t18)) % 0.39/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args (@t19)) % 0.39/0.56 (step @p12 :rule refl :args (@t7)) % 0.39/0.56 (step @p13 :rule cong :premises (@p12 @p11) :args ((=> @t7 @t19))) % 0.39/0.56 (assume-push @p34 @t7) % 0.39/0.56 (step @p15 :rule instantiate :premises (@p1) :args ((@list @t9 @t10))) % 0.39/0.56 (step-pop @p35 :rule scope :premises (@p15)) % 0.39/0.56 (step @p16 :rule process_scope :premises (@p35) :args (@t19)) % 0.39/0.56 (step @p18 :rule eq_resolve :premises (@p16 @p13)) % 0.39/0.56 (step @p19 :rule implies_elim :premises (@p18)) % 0.39/0.56 (step @p20 :rule chain_m_resolution :premises (@p19 @p1) :args (@t20 (@list false) (@list @t7))) % 0.39/0.56 (step @p21 :rule cnf_equiv_pos1 :args (@t20)) % 0.39/0.56 (step @p22 :rule reordering :premises (@p21) :args ((or (not @t18) @t13 @t21))) % 0.39/0.56 (step @p23 :rule cnf_equiv_neg1 :args (@t22)) % 0.39/0.56 (step @p24 :rule reordering :premises (@p23) :args ((or @t14 @t18 @t22))) % 0.39/0.56 (step @p25 :rule chain_m_resolution :premises (@p24 @p4 @p22 @p20 @p7 @p5) :args (@t13 (@list true true false true false) (@list @t22 @t18 @t20 @t14 @t15))) % 0.39/0.56 (step @p26 :rule cnf_equiv_pos2 :args (@t15)) % 0.39/0.56 (step @p27 :rule reordering :premises (@p26) :args ((or @t14 @t23 @t16))) % 0.39/0.56 (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p5) :args (@t14 @t24 (@list @t13 @t15))) % 0.39/0.56 (step @p29 :rule cnf_equiv_pos2 :args (@t20)) % 0.39/0.56 (step @p30 :rule reordering :premises (@p29) :args ((or @t18 @t23 @t21))) % 0.39/0.56 (step @p31 :rule chain_m_resolution :premises (@p30 @p25 @p20) :args (@t18 @t24 (@list @t13 @t20))) % 0.39/0.56 (step @p32 :rule cnf_equiv_neg2 :args (@t22)) % 0.39/0.56 (step @p33 false :rule chain_m_resolution :premises (@p32 @p31 @p28 @p4) :args (false (@list false false true) (@list @t18 @t14 @t22))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------