%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN405+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 09:08:48 AM UTC 2026 % Result : Theorem 0.32s 0.56s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SYN405+1 : TPTP v9.2.1. Released v2.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n002.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 23:27:18 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.56 % SZS status Theorem % 0.32/0.56 % SZS output start Proof % 0.32/0.56 ( % 0.32/0.56 (declare-sort $$unsorted 0) % 0.32/0.56 (declare-const tptp.f (-> $$unsorted Bool)) % 0.32/0.56 (declare-const tptp.g (-> $$unsorted Bool)) % 0.32/0.56 (define @t1 () (@var "Z" $$unsorted)) % 0.32/0.56 (define @t2 () (tptp.g @t1)) % 0.32/0.56 (define @t3 () (tptp.f @t1)) % 0.32/0.56 (define @t4 () (and @t3 @t2)) % 0.32/0.56 (define @t5 () (@list @t1)) % 0.32/0.56 (define @t6 () (exists @t5 @t4)) % 0.32/0.56 (define @t7 () (@var "Y" $$unsorted)) % 0.32/0.56 (define @t8 () (tptp.g @t7)) % 0.32/0.56 (define @t9 () (@list @t7)) % 0.32/0.56 (define @t10 () (exists @t9 @t8)) % 0.32/0.56 (define @t11 () (@var "X" $$unsorted)) % 0.32/0.56 (define @t12 () (forall (@list @t11) (tptp.f @t11))) % 0.32/0.56 (define @t13 () (and @t12 @t10)) % 0.32/0.56 (define @t14 () (=> @t13 @t6)) % 0.32/0.56 (define @t15 () (not @t14)) % 0.32/0.56 (define @t16 () (forall @t5 (not @t4))) % 0.32/0.56 (define @t17 () (not @t16)) % 0.32/0.56 (define @t18 () (forall @t9 (not @t8))) % 0.32/0.56 (define @t19 () (not @t18)) % 0.32/0.56 (define @t20 () (@quantifiers_skolemize @t18 0)) % 0.32/0.56 (define @t21 () (@list @t20)) % 0.32/0.56 (define @t22 () (tptp.g @t20)) % 0.32/0.56 (define @t23 () (not @t22)) % 0.32/0.56 (define @t24 () (not @t23)) % 0.32/0.56 (define @t25 () (tptp.f @t20)) % 0.32/0.56 (define @t26 () (not @t25)) % 0.32/0.56 (define @t27 () (or @t26 @t23)) % 0.32/0.56 (assume @p1 @t15) % 0.32/0.56 (assume @p2 true) % 0.32/0.56 (step @p3 :rule bool-and-de-morgan :args (@t3 @t2 true)) % 0.32/0.56 (step @p4 :rule cong :premises (@p3) :args (@t16)) % 0.32/0.56 (step @p5 :rule cong :premises (@p4) :args (@t17)) % 0.32/0.56 (step @p6 :rule exists-elim :args ((= @t6 @t17))) % 0.32/0.56 (step @p7 :rule trans :premises (@p6 @p5)) % 0.32/0.56 (step @p8 :rule exists-elim :args ((= @t10 @t19))) % 0.32/0.56 (step @p9 :rule refl :args (@t12)) % 0.32/0.56 (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t13)) % 0.32/0.56 (step @p11 :rule cong :premises (@p10 @p7) :args (@t14)) % 0.32/0.56 (step @p12 :rule cong :premises (@p11) :args (@t15)) % 0.32/0.56 (step @p13 :rule eq_resolve :premises (@p1 @p12)) % 0.32/0.56 (step @p14 :rule not_implies_elim1 :premises (@p13)) % 0.32/0.56 (step @p15 :rule and_elim :premises (@p14) :args (0)) % 0.32/0.56 (step @p16 :rule not_implies_elim2 :premises (@p13)) % 0.32/0.56 (step @p17 :rule not_not_elim :premises (@p16)) % 0.32/0.56 (step @p18 :rule instantiate :premises (@p17) :args (@t21)) % 0.32/0.56 (step @p19 :rule and_elim :premises (@p14) :args (1)) % 0.32/0.56 (step @p20 :rule refl :args (@t22)) % 0.32/0.56 (step @p21 :rule bool-double-not-elim :args (@t18)) % 0.32/0.56 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or (not @t19) @t22))) % 0.32/0.56 (step @p23 :rule bool-double-not-elim :args (@t22)) % 0.32/0.56 (step @p24 :rule refl :args (@t19)) % 0.32/0.56 (step @p25 :rule cong :premises (@p24 @p23) :args ((=> @t19 @t24))) % 0.32/0.56 (assume-push @p43 @t19) % 0.32/0.56 (step @p27 :rule skolemize :premises (@p19)) % 0.32/0.56 (step-pop @p44 :rule scope :premises (@p27)) % 0.32/0.56 (step @p28 :rule process_scope :premises (@p44) :args (@t24)) % 0.32/0.56 (step @p30 :rule eq_resolve :premises (@p28 @p25)) % 0.32/0.56 (step @p31 :rule implies_elim :premises (@p30)) % 0.32/0.56 (step @p32 :rule eq_resolve :premises (@p31 @p22)) % 0.32/0.56 (step @p33 :rule chain_m_resolution :premises (@p32 @p19) :args (@t22 (@list true) (@list @t18))) % 0.32/0.56 (step @p34 :rule cnf_or_pos :args (@t27)) % 0.32/0.56 (step @p35 :rule reordering :premises (@p34) :args ((or @t23 @t26 (not @t27)))) % 0.32/0.56 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p18) :args (@t26 (@list false false) (@list @t22 @t27))) % 0.32/0.56 (assume-push @p45 @t12) % 0.32/0.56 (step @p38 :rule instantiate :premises (@p15) :args (@t21)) % 0.32/0.56 (step-pop @p46 :rule scope :premises (@p38)) % 0.32/0.56 (step @p39 :rule process_scope :premises (@p46) :args (@t25)) % 0.32/0.56 (step @p41 :rule implies_elim :premises (@p39)) % 0.32/0.56 (step @p42 false :rule chain_m_resolution :premises (@p41 @p36 @p15) :args (false (@list true false) (@list @t25 @t12))) % 0.32/0.56 ) % 0.32/0.56 % SZS output end Proof % 0.32/0.56 % cvc5 exiting 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