%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET788+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:48:39 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET788+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n005.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 16:12:18 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.a_member_of (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t2 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t3 () (tptp.equalish @t1 @t2)) % 0.37/0.56 (define @t4 () (@list @t1 @t2)) % 0.37/0.56 (define @t5 () (forall @t4 (= @t3 (tptp.equalish @t2 @t1)))) % 0.37/0.56 (define @t6 () (@var "Z" $$unsorted)) % 0.37/0.56 (define @t7 () (@list @t6)) % 0.37/0.56 (define @t8 () (forall @t4 (= @t3 (forall @t7 (= (tptp.a_member_of @t6 @t1) (tptp.a_member_of @t6 @t2)))))) % 0.37/0.56 (define @t9 () (@quantifiers_skolemize @t5 1)) % 0.37/0.56 (define @t10 () (@quantifiers_skolemize @t5 0)) % 0.37/0.56 (define @t11 () (tptp.a_member_of @t6 @t9)) % 0.37/0.56 (define @t12 () (tptp.a_member_of @t6 @t10)) % 0.37/0.56 (define @t13 () (forall @t7 (= @t12 @t11))) % 0.37/0.56 (define @t14 () (tptp.equalish @t10 @t9)) % 0.37/0.56 (define @t15 () (= @t14 @t13)) % 0.37/0.56 (define @t16 () (not @t15)) % 0.37/0.56 (define @t17 () (forall @t7 (= @t11 @t12))) % 0.37/0.56 (define @t18 () (tptp.equalish @t9 @t10)) % 0.37/0.56 (define @t19 () (= @t18 @t17)) % 0.37/0.56 (define @t20 () (= @t18 @t13)) % 0.37/0.56 (define @t21 () (not @t20)) % 0.37/0.56 (define @t22 () (= @t14 @t18)) % 0.37/0.56 (define @t23 () (not @t13)) % 0.37/0.56 (define @t24 () (@list false false)) % 0.37/0.56 (assume @p1 (not (=> @t8 @t5))) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule not_implies_elim2 :premises (@p1)) % 0.37/0.56 (step @p4 :rule skolemize :premises (@p3)) % 0.37/0.56 (step @p5 :rule not_implies_elim1 :premises (@p1)) % 0.37/0.56 (step @p6 :rule instantiate :premises (@p5) :args ((@list @t10 @t9))) % 0.37/0.56 (step @p7 :rule cnf_equiv_pos1 :args (@t15)) % 0.37/0.56 (step @p8 :rule reordering :premises (@p7) :args ((or (not @t14) @t13 @t16))) % 0.37/0.56 (step @p9 :rule eq-symm :args (@t11 @t12)) % 0.37/0.56 (step @p10 :rule cong :premises (@p9) :args (@t17)) % 0.37/0.56 (step @p11 :rule refl :args (@t18)) % 0.37/0.56 (step @p12 :rule cong :premises (@p11 @p10) :args (@t19)) % 0.37/0.56 (step @p13 :rule refl :args (@t8)) % 0.37/0.56 (step @p14 :rule cong :premises (@p13 @p12) :args ((=> @t8 @t19))) % 0.37/0.56 (assume-push @p35 @t8) % 0.37/0.56 (step @p16 :rule instantiate :premises (@p5) :args ((@list @t9 @t10))) % 0.37/0.56 (step-pop @p36 :rule scope :premises (@p16)) % 0.37/0.56 (step @p17 :rule process_scope :premises (@p36) :args (@t19)) % 0.37/0.56 (step @p19 :rule eq_resolve :premises (@p17 @p14)) % 0.37/0.56 (step @p20 :rule implies_elim :premises (@p19)) % 0.37/0.56 (step @p21 :rule chain_m_resolution :premises (@p20 @p5) :args (@t20 (@list false) (@list @t8))) % 0.37/0.56 (step @p22 :rule cnf_equiv_pos1 :args (@t20)) % 0.37/0.56 (step @p23 :rule reordering :premises (@p22) :args ((or (not @t18) @t13 @t21))) % 0.37/0.56 (step @p24 :rule cnf_equiv_neg1 :args (@t22)) % 0.37/0.56 (step @p25 :rule reordering :premises (@p24) :args ((or @t14 @t18 @t22))) % 0.37/0.56 (step @p26 :rule chain_m_resolution :premises (@p25 @p4 @p23 @p21 @p8 @p6) :args (@t13 (@list true true false true false) (@list @t22 @t18 @t20 @t14 @t15))) % 0.37/0.56 (step @p27 :rule cnf_equiv_pos2 :args (@t15)) % 0.37/0.56 (step @p28 :rule reordering :premises (@p27) :args ((or @t14 @t23 @t16))) % 0.37/0.56 (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p6) :args (@t14 @t24 (@list @t13 @t15))) % 0.37/0.56 (step @p30 :rule cnf_equiv_pos2 :args (@t20)) % 0.37/0.56 (step @p31 :rule reordering :premises (@p30) :args ((or @t18 @t23 @t21))) % 0.37/0.56 (step @p32 :rule chain_m_resolution :premises (@p31 @p26 @p21) :args (@t18 @t24 (@list @t13 @t20))) % 0.37/0.56 (step @p33 :rule cnf_equiv_neg2 :args (@t22)) % 0.37/0.56 (step @p34 false :rule chain_m_resolution :premises (@p33 @p32 @p29 @p4) :args (false (@list false false true) (@list @t18 @t14 @t22))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------