%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN407+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 : 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 09:08:49 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN407+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % 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 23:27:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.g (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.f (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.h (-> $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "Z" $$unsorted)) % 0.38/0.56 (define @t2 () (tptp.h @t1)) % 0.38/0.56 (define @t3 () (tptp.f @t1)) % 0.38/0.56 (define @t4 () (and @t3 @t2)) % 0.38/0.56 (define @t5 () (@list @t1)) % 0.38/0.56 (define @t6 () (exists @t5 @t4)) % 0.38/0.56 (define @t7 () (@var "Y" $$unsorted)) % 0.38/0.56 (define @t8 () (tptp.g @t7)) % 0.38/0.56 (define @t9 () (tptp.f @t7)) % 0.38/0.56 (define @t10 () (@list @t7)) % 0.38/0.56 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.38/0.56 (define @t12 () (or @t11 @t6)) % 0.38/0.56 (define @t13 () (@var "X" $$unsorted)) % 0.38/0.56 (define @t14 () (tptp.h @t13)) % 0.38/0.56 (define @t15 () (tptp.g @t13)) % 0.38/0.56 (define @t16 () (or @t15 @t14)) % 0.38/0.56 (define @t17 () (tptp.f @t13)) % 0.38/0.56 (define @t18 () (forall (@list @t13) (=> @t17 @t16))) % 0.38/0.56 (define @t19 () (=> @t18 @t12)) % 0.38/0.56 (define @t20 () (not @t19)) % 0.38/0.56 (define @t21 () (forall @t5 (not @t4))) % 0.38/0.56 (define @t22 () (not @t21)) % 0.38/0.56 (define @t23 () (not @t17)) % 0.38/0.56 (define @t24 () (@quantifiers_skolemize (forall @t10 (or (not @t9) @t8)) 0)) % 0.38/0.56 (define @t25 () (tptp.f @t24)) % 0.38/0.56 (define @t26 () (tptp.g @t24)) % 0.38/0.56 (define @t27 () (not @t25)) % 0.38/0.56 (define @t28 () (or @t27 @t26)) % 0.38/0.56 (define @t29 () (@list true)) % 0.38/0.56 (define @t30 () (@list @t28)) % 0.38/0.56 (define @t31 () (@list @t24)) % 0.38/0.56 (define @t32 () (tptp.h @t24)) % 0.38/0.56 (define @t33 () (or @t27 @t26 @t32)) % 0.38/0.56 (define @t34 () (not @t32)) % 0.38/0.56 (define @t35 () (or @t27 @t34)) % 0.38/0.56 (assume @p1 @t20) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 :rule bool-and-de-morgan :args (@t3 @t2 true)) % 0.38/0.56 (step @p4 :rule cong :premises (@p3) :args (@t21)) % 0.38/0.56 (step @p5 :rule cong :premises (@p4) :args (@t22)) % 0.38/0.56 (step @p6 :rule exists-elim :args ((= @t6 @t22))) % 0.38/0.56 (step @p7 :rule trans :premises (@p6 @p5)) % 0.38/0.56 (step @p8 :rule bool-impl-elim :args (@t9 @t8)) % 0.38/0.56 (step @p9 :rule cong :premises (@p8) :args (@t11)) % 0.38/0.56 (step @p10 :rule nary_cong :premises (@p9 @p7) :args (@t12)) % 0.38/0.56 (step @p11 :rule aci_norm :args ((= (or @t23 @t16) (or @t23 @t15 @t14)))) % 0.38/0.56 (step @p12 :rule bool-impl-elim :args (@t17 @t16)) % 0.38/0.56 (step @p13 :rule trans :premises (@p12 @p11)) % 0.38/0.56 (step @p14 :rule cong :premises (@p13) :args (@t18)) % 0.38/0.56 (step @p15 :rule cong :premises (@p14 @p10) :args (@t19)) % 0.38/0.56 (step @p16 :rule cong :premises (@p15) :args (@t20)) % 0.38/0.56 (step @p17 :rule eq_resolve :premises (@p1 @p16)) % 0.38/0.56 (step @p18 :rule not_implies_elim2 :premises (@p17)) % 0.38/0.56 (step @p19 :rule not_or_elim :premises (@p18) :args (0)) % 0.38/0.56 (step @p20 :rule skolemize :premises (@p19)) % 0.38/0.56 (step @p21 :rule bool-double-not-elim :args (@t25)) % 0.38/0.56 (step @p22 :rule refl :args (@t28)) % 0.38/0.56 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t28 (not @t27)))) % 0.38/0.56 (step @p24 :rule cnf_or_neg :args (@t28 0)) % 0.38/0.56 (step @p25 :rule eq_resolve :premises (@p24 @p23)) % 0.38/0.56 (step @p26 :rule reordering :premises (@p25) :args ((or @t25 @t28))) % 0.38/0.56 (step @p27 :rule chain_m_resolution :premises (@p26 @p20) :args (@t25 @t29 @t30)) % 0.38/0.56 (step @p28 :rule not_or_elim :premises (@p18) :args (1)) % 0.38/0.56 (step @p29 :rule not_not_elim :premises (@p28)) % 0.38/0.56 (step @p30 :rule instantiate :premises (@p29) :args (@t31)) % 0.38/0.56 (step @p31 :rule not_implies_elim1 :premises (@p17)) % 0.38/0.56 (step @p32 :rule instantiate :premises (@p31) :args (@t31)) % 0.38/0.56 (step @p33 :rule cnf_or_neg :args (@t28 1)) % 0.38/0.56 (step @p34 :rule chain_m_resolution :premises (@p33 @p20) :args ((not @t26) @t29 @t30)) % 0.38/0.56 (step @p35 :rule cnf_or_pos :args (@t33)) % 0.38/0.56 (step @p36 :rule reordering :premises (@p35) :args ((or @t27 @t26 @t32 (not @t33)))) % 0.38/0.56 (step @p37 :rule chain_m_resolution :premises (@p36 @p27 @p34 @p32) :args (@t32 (@list false true false) (@list @t25 @t26 @t33))) % 0.38/0.56 (step @p38 :rule cnf_or_pos :args (@t35)) % 0.38/0.56 (step @p39 :rule reordering :premises (@p38) :args ((or @t27 @t34 (not @t35)))) % 0.38/0.56 (step @p40 false :rule chain_m_resolution :premises (@p39 @p37 @p30 @p27) :args (false (@list false false false) (@list @t32 @t35 @t25))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------