%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN958+1 : TPTP v9.2.1. Released v3.1.0. % 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 09:10:08 AM UTC 2026 % Result : Theorem 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN958+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % 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 23:51:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.54 % SZS status Theorem % 0.30/0.54 % SZS output start Proof % 0.30/0.54 ( % 0.30/0.54 (declare-sort $$unsorted 0) % 0.30/0.54 (declare-const tptp.a (-> $$unsorted Bool)) % 0.30/0.54 (declare-const tptp.b (-> $$unsorted Bool)) % 0.30/0.54 (define @t1 () (@var "X" $$unsorted)) % 0.30/0.54 (define @t2 () (tptp.b @t1)) % 0.30/0.54 (define @t3 () (tptp.a @t1)) % 0.30/0.54 (define @t4 () (and @t3 @t2)) % 0.30/0.54 (define @t5 () (@list @t1)) % 0.30/0.54 (define @t6 () (exists @t5 @t4)) % 0.30/0.54 (define @t7 () (forall @t5 @t2)) % 0.30/0.54 (define @t8 () (exists @t5 @t3)) % 0.30/0.54 (define @t9 () (and @t8 @t7)) % 0.30/0.54 (define @t10 () (=> @t9 @t6)) % 0.30/0.54 (define @t11 () (not @t10)) % 0.30/0.54 (define @t12 () (forall @t5 (not @t4))) % 0.30/0.54 (define @t13 () (not @t12)) % 0.30/0.54 (define @t14 () (forall @t5 (not @t3))) % 0.30/0.54 (define @t15 () (not @t14)) % 0.30/0.54 (define @t16 () (@quantifiers_skolemize @t14 0)) % 0.30/0.54 (define @t17 () (@list @t16)) % 0.30/0.54 (define @t18 () (tptp.a @t16)) % 0.30/0.54 (define @t19 () (not @t18)) % 0.30/0.54 (define @t20 () (not @t19)) % 0.30/0.54 (define @t21 () (tptp.b @t16)) % 0.30/0.54 (define @t22 () (not @t21)) % 0.30/0.54 (define @t23 () (or @t19 @t22)) % 0.30/0.54 (assume @p1 @t11) % 0.30/0.54 (assume @p2 true) % 0.30/0.54 (step @p3 :rule bool-and-de-morgan :args (@t3 @t2 true)) % 0.30/0.54 (step @p4 :rule cong :premises (@p3) :args (@t12)) % 0.30/0.54 (step @p5 :rule cong :premises (@p4) :args (@t13)) % 0.30/0.54 (step @p6 :rule exists-elim :args ((= @t6 @t13))) % 0.30/0.54 (step @p7 :rule trans :premises (@p6 @p5)) % 0.30/0.54 (step @p8 :rule refl :args (@t7)) % 0.30/0.54 (step @p9 :rule exists-elim :args ((= @t8 @t15))) % 0.30/0.54 (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t9)) % 0.30/0.54 (step @p11 :rule cong :premises (@p10 @p7) :args (@t10)) % 0.30/0.54 (step @p12 :rule cong :premises (@p11) :args (@t11)) % 0.30/0.54 (step @p13 :rule eq_resolve :premises (@p1 @p12)) % 0.30/0.54 (step @p14 :rule not_implies_elim1 :premises (@p13)) % 0.30/0.54 (step @p15 :rule and_elim :premises (@p14) :args (1)) % 0.30/0.54 (step @p16 :rule not_implies_elim2 :premises (@p13)) % 0.30/0.54 (step @p17 :rule not_not_elim :premises (@p16)) % 0.30/0.54 (step @p18 :rule instantiate :premises (@p17) :args (@t17)) % 0.30/0.54 (step @p19 :rule and_elim :premises (@p14) :args (0)) % 0.30/0.54 (step @p20 :rule refl :args (@t18)) % 0.30/0.54 (step @p21 :rule bool-double-not-elim :args (@t14)) % 0.30/0.54 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or (not @t15) @t18))) % 0.30/0.54 (step @p23 :rule bool-double-not-elim :args (@t18)) % 0.30/0.54 (step @p24 :rule refl :args (@t15)) % 0.30/0.54 (step @p25 :rule cong :premises (@p24 @p23) :args ((=> @t15 @t20))) % 0.30/0.54 (assume-push @p43 @t15) % 0.30/0.54 (step @p27 :rule skolemize :premises (@p19)) % 0.30/0.54 (step-pop @p44 :rule scope :premises (@p27)) % 0.30/0.54 (step @p28 :rule process_scope :premises (@p44) :args (@t20)) % 0.30/0.54 (step @p30 :rule eq_resolve :premises (@p28 @p25)) % 0.30/0.54 (step @p31 :rule implies_elim :premises (@p30)) % 0.30/0.54 (step @p32 :rule eq_resolve :premises (@p31 @p22)) % 0.30/0.54 (step @p33 :rule chain_m_resolution :premises (@p32 @p19) :args (@t18 (@list true) (@list @t14))) % 0.30/0.54 (step @p34 :rule cnf_or_pos :args (@t23)) % 0.30/0.54 (step @p35 :rule reordering :premises (@p34) :args ((or @t19 @t22 (not @t23)))) % 0.30/0.54 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p18) :args (@t22 (@list false false) (@list @t18 @t23))) % 0.30/0.54 (assume-push @p45 @t7) % 0.30/0.54 (step @p38 :rule instantiate :premises (@p15) :args (@t17)) % 0.30/0.54 (step-pop @p46 :rule scope :premises (@p38)) % 0.30/0.54 (step @p39 :rule process_scope :premises (@p46) :args (@t21)) % 0.30/0.54 (step @p41 :rule implies_elim :premises (@p39)) % 0.30/0.54 (step @p42 false :rule chain_m_resolution :premises (@p41 @p36 @p15) :args (false (@list true false) (@list @t21 @t7))) % 0.30/0.54 ) % 0.30/0.54 % SZS output end Proof % 0.30/0.54 % cvc5 exiting %------------------------------------------------------------------------------