%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN966+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 : n002.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 09:10:09 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 % 0.00/0.13 % Problem : SYN966+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n002.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:50:33 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.51 %----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 $$unsorted 0) % 0.39/0.56 (declare-const tptp.a_member_of (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.eq (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.56 (define @t2 () (@var "B" $$unsorted)) % 0.39/0.56 (define @t3 () (tptp.eq @t2 @t1)) % 0.39/0.56 (define @t4 () (tptp.eq @t1 @t2)) % 0.39/0.56 (define @t5 () (@list @t1 @t2)) % 0.39/0.56 (define @t6 () (forall @t5 (=> @t4 @t3))) % 0.39/0.56 (define @t7 () (@var "Y" $$unsorted)) % 0.39/0.56 (define @t8 () (@var "Z" $$unsorted)) % 0.39/0.56 (define @t9 () (@var "X" $$unsorted)) % 0.39/0.56 (define @t10 () (@list @t8)) % 0.39/0.56 (define @t11 () (forall (@list @t9 @t7) (= (tptp.eq @t9 @t7) (forall @t10 (= (tptp.a_member_of @t8 @t9) (tptp.a_member_of @t8 @t7)))))) % 0.39/0.56 (define @t12 () (=> @t11 @t6)) % 0.39/0.56 (define @t13 () (not @t12)) % 0.39/0.56 (define @t14 () (forall @t5 (or (not @t4) @t3))) % 0.39/0.56 (define @t15 () (@quantifiers_skolemize @t14 0)) % 0.39/0.56 (define @t16 () (@quantifiers_skolemize @t14 1)) % 0.39/0.56 (define @t17 () (tptp.eq @t16 @t15)) % 0.39/0.56 (define @t18 () (tptp.eq @t15 @t16)) % 0.39/0.56 (define @t19 () (not @t18)) % 0.39/0.56 (define @t20 () (or @t19 @t17)) % 0.39/0.56 (define @t21 () (@list true)) % 0.39/0.56 (define @t22 () (@list @t20)) % 0.39/0.56 (define @t23 () (tptp.a_member_of @t8 @t16)) % 0.39/0.56 (define @t24 () (tptp.a_member_of @t8 @t15)) % 0.39/0.56 (define @t25 () (forall @t10 (= @t23 @t24))) % 0.39/0.56 (define @t26 () (= @t17 @t25)) % 0.39/0.56 (define @t27 () (forall @t10 (= @t24 @t23))) % 0.39/0.56 (define @t28 () (= @t17 @t27)) % 0.39/0.56 (define @t29 () (= @t18 @t27)) % 0.39/0.56 (assume @p1 @t13) % 0.39/0.56 (assume @p2 true) % 0.39/0.56 (step @p3 :rule bool-impl-elim :args (@t4 @t3)) % 0.39/0.56 (step @p4 :rule cong :premises (@p3) :args (@t6)) % 0.39/0.56 (step @p5 :rule refl :args (@t11)) % 0.39/0.56 (step @p6 :rule cong :premises (@p5 @p4) :args (@t12)) % 0.39/0.56 (step @p7 :rule cong :premises (@p6) :args (@t13)) % 0.39/0.56 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 0.39/0.56 (step @p9 :rule not_implies_elim2 :premises (@p8)) % 0.39/0.56 (step @p10 :rule skolemize :premises (@p9)) % 0.39/0.56 (step @p11 :rule cnf_or_neg :args (@t20 1)) % 0.39/0.56 (step @p12 :rule chain_m_resolution :premises (@p11 @p10) :args ((not @t17) @t21 @t22)) % 0.39/0.56 (step @p13 :rule not_implies_elim1 :premises (@p8)) % 0.39/0.56 (step @p14 :rule eq-symm :args (@t23 @t24)) % 0.39/0.56 (step @p15 :rule cong :premises (@p14) :args (@t25)) % 0.39/0.56 (step @p16 :rule refl :args (@t17)) % 0.39/0.56 (step @p17 :rule cong :premises (@p16 @p15) :args (@t26)) % 0.39/0.56 (step @p18 :rule cong :premises (@p5 @p17) :args ((=> @t11 @t26))) % 0.39/0.56 (assume-push @p40 @t11) % 0.39/0.56 (step @p20 :rule instantiate :premises (@p13) :args ((@list @t16 @t15))) % 0.39/0.56 (step-pop @p41 :rule scope :premises (@p20)) % 0.39/0.56 (step @p21 :rule process_scope :premises (@p41) :args (@t26)) % 0.39/0.56 (step @p23 :rule eq_resolve :premises (@p21 @p18)) % 0.39/0.56 (step @p24 :rule implies_elim :premises (@p23)) % 0.39/0.56 (step @p25 :rule chain_m_resolution :premises (@p24 @p13) :args (@t28 (@list false) (@list @t11))) % 0.39/0.56 (step @p26 :rule instantiate :premises (@p13) :args ((@list @t15 @t16))) % 0.39/0.56 (step @p27 :rule bool-double-not-elim :args (@t18)) % 0.39/0.56 (step @p28 :rule refl :args (@t20)) % 0.39/0.56 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t20 (not @t19)))) % 0.39/0.56 (step @p30 :rule cnf_or_neg :args (@t20 0)) % 0.39/0.56 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 0.39/0.56 (step @p32 :rule reordering :premises (@p31) :args ((or @t18 @t20))) % 0.39/0.56 (step @p33 :rule chain_m_resolution :premises (@p32 @p10) :args (@t18 @t21 @t22)) % 0.39/0.56 (step @p34 :rule cnf_equiv_pos1 :args (@t29)) % 0.39/0.56 (step @p35 :rule reordering :premises (@p34) :args ((or @t19 @t27 (not @t29)))) % 0.39/0.56 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p26) :args (@t27 (@list false false) (@list @t18 @t29))) % 0.39/0.56 (step @p37 :rule cnf_equiv_pos2 :args (@t28)) % 0.39/0.56 (step @p38 :rule reordering :premises (@p37) :args ((or @t17 (not @t27) (not @t28)))) % 0.39/0.56 (step @p39 false :rule chain_m_resolution :premises (@p38 @p36 @p25 @p12) :args (false (@list false false true) (@list @t27 @t28 @t17))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------