%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL666+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:26 AM UTC 2026 % Result : Theorem 0.19s 0.48s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL666+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.34 % Computer : n020.cluster.edu % 0.07/0.34 % Model : x86_64 x86_64 % 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.34 % Memory : 8046.5625MB % 0.07/0.34 % OS : Linux 6.8.0-71-generic % 0.07/0.34 % CPULimit : 300 % 0.07/0.34 % WCLimit : 300 % 0.07/0.34 % DateTime : Sat Sep 5 21:19:57 UTC 2026 % 0.07/0.35 % CPUTime : % 0.12/0.42 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.48 % SZS status Theorem % 0.19/0.48 % SZS output start Proof % 0.19/0.48 ( % 0.19/0.48 (declare-sort $$unsorted 0) % 0.19/0.48 (declare-const tptp.p201 (-> $$unsorted Bool)) % 0.19/0.48 (declare-const tptp.p101 (-> $$unsorted Bool)) % 0.19/0.48 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 0.19/0.48 (define @t1 () (@var "X" $$unsorted)) % 0.19/0.48 (define @t2 () (@list @t1)) % 0.19/0.48 (define @t3 () (forall @t2 (tptp.r1 @t1 @t1))) % 0.19/0.48 (define @t4 () (tptp.p101 @t1)) % 0.19/0.48 (define @t5 () (tptp.p201 @t1)) % 0.19/0.48 (define @t6 () (not (and @t5 @t4))) % 0.19/0.48 (define @t7 () (@var "Y" $$unsorted)) % 0.19/0.48 (define @t8 () (tptp.p101 @t7)) % 0.19/0.48 (define @t9 () (tptp.p201 @t7)) % 0.19/0.48 (define @t10 () (not (tptp.r1 @t1 @t7))) % 0.19/0.48 (define @t11 () (or @t10 (not (and @t9 @t8)))) % 0.19/0.48 (define @t12 () (@list @t7)) % 0.19/0.48 (define @t13 () (forall @t12 @t11)) % 0.19/0.48 (define @t14 () (not @t13)) % 0.19/0.48 (define @t15 () (or @t14 @t6)) % 0.19/0.48 (define @t16 () (not @t15)) % 0.19/0.48 (define @t17 () (exists @t2 @t16)) % 0.19/0.48 (define @t18 () (not @t4)) % 0.19/0.48 (define @t19 () (not @t5)) % 0.19/0.48 (define @t20 () (not @t8)) % 0.19/0.48 (define @t21 () (not @t9)) % 0.19/0.48 (define @t22 () (or @t10 @t21 @t20)) % 0.19/0.48 (define @t23 () (not (forall @t12 @t22))) % 0.19/0.48 (define @t24 () (or @t23 @t19 @t18)) % 0.19/0.48 (define @t25 () (or @t23 @t6)) % 0.19/0.48 (define @t26 () (not @t25)) % 0.19/0.48 (define @t27 () (forall @t2 (not @t26))) % 0.19/0.48 (define @t28 () (not @t27)) % 0.19/0.48 (define @t29 () (@quantifiers_skolemize (forall @t2 @t24) 0)) % 0.19/0.48 (define @t30 () (forall @t12 (or (not (tptp.r1 @t29 @t7)) @t21 @t20))) % 0.19/0.48 (define @t31 () (tptp.p101 @t29)) % 0.19/0.48 (define @t32 () (not @t31)) % 0.19/0.48 (define @t33 () (tptp.p201 @t29)) % 0.19/0.48 (define @t34 () (not @t33)) % 0.19/0.48 (define @t35 () (not @t30)) % 0.19/0.48 (define @t36 () (or @t35 @t34 @t32)) % 0.19/0.48 (define @t37 () (@list true)) % 0.19/0.48 (define @t38 () (@list @t36)) % 0.19/0.48 (define @t39 () (@list @t29)) % 0.19/0.48 (define @t40 () (tptp.r1 @t29 @t29)) % 0.19/0.48 (define @t41 () (not @t40)) % 0.19/0.48 (define @t42 () (or @t41 @t34 @t32)) % 0.19/0.48 (assume @p1 @t3) % 0.19/0.48 (assume @p2 (not (not @t17))) % 0.19/0.48 (assume @p3 true) % 0.19/0.48 (step @p4 :rule aci_norm :args ((= (or @t23 (or @t19 @t18)) @t24))) % 0.19/0.48 (step @p5 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 0.19/0.48 (step @p6 :rule refl :args (@t23)) % 0.19/0.48 (step @p7 :rule nary_cong :premises (@p6 @p5) :args (@t25)) % 0.19/0.48 (step @p8 :rule trans :premises (@p7 @p4)) % 0.19/0.48 (step @p9 :rule cong :premises (@p8) :args ((forall @t2 @t25))) % 0.19/0.48 (step @p10 :rule bool-double-not-elim :args (@t25)) % 0.19/0.48 (step @p11 :rule cong :premises (@p10) :args (@t27)) % 0.19/0.48 (step @p12 :rule trans :premises (@p11 @p9)) % 0.19/0.48 (step @p13 :rule cong :premises (@p12) :args (@t28)) % 0.19/0.48 (step @p14 :rule exists-elim :args ((= (exists @t2 @t26) @t28))) % 0.19/0.48 (step @p15 :rule trans :premises (@p14 @p13)) % 0.19/0.48 (step @p16 :rule refl :args (@t6)) % 0.19/0.48 (step @p17 :rule aci_norm :args ((= (or @t10 (or @t21 @t20)) @t22))) % 0.19/0.48 (step @p18 :rule bool-and-de-morgan :args (@t9 @t8 true)) % 0.19/0.48 (step @p19 :rule refl :args (@t10)) % 0.19/0.48 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t11)) % 0.19/0.48 (step @p21 :rule trans :premises (@p20 @p17)) % 0.19/0.48 (step @p22 :rule cong :premises (@p21) :args (@t13)) % 0.19/0.48 (step @p23 :rule cong :premises (@p22) :args (@t14)) % 0.19/0.48 (step @p24 :rule nary_cong :premises (@p23 @p16) :args (@t15)) % 0.19/0.48 (step @p25 :rule cong :premises (@p24) :args (@t16)) % 0.19/0.48 (step @p26 :rule cong :premises (@p25) :args (@t17)) % 0.19/0.48 (step @p27 :rule trans :premises (@p26 @p15)) % 0.19/0.48 (step @p28 :rule bool-double-not-elim :args (@t17)) % 0.19/0.48 (step @p29 :rule trans :premises (@p28 @p27)) % 0.19/0.48 (step @p30 :rule eq_resolve :premises (@p2 @p29)) % 0.19/0.48 (step @p31 :rule skolemize :premises (@p30)) % 0.19/0.48 (step @p32 :rule bool-double-not-elim :args (@t30)) % 0.19/0.48 (step @p33 :rule refl :args (@t36)) % 0.19/0.48 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or @t36 (not @t35)))) % 0.19/0.48 (step @p35 :rule cnf_or_neg :args (@t36 0)) % 0.19/0.48 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 0.19/0.48 (step @p37 :rule reordering :premises (@p36) :args ((or @t30 @t36))) % 0.19/0.48 (step @p38 :rule chain_m_resolution :premises (@p37 @p31) :args (@t30 @t37 @t38)) % 0.19/0.48 (step @p39 :rule instantiate :premises (@p38) :args (@t39)) % 0.19/0.48 (step @p40 :rule bool-double-not-elim :args (@t31)) % 0.19/0.48 (step @p41 :rule nary_cong :premises (@p33 @p40) :args ((or @t36 (not @t32)))) % 0.19/0.48 (step @p42 :rule cnf_or_neg :args (@t36 2)) % 0.19/0.48 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.19/0.48 (step @p44 :rule reordering :premises (@p43) :args ((or @t31 @t36))) % 0.19/0.48 (step @p45 :rule chain_m_resolution :premises (@p44 @p31) :args (@t31 @t37 @t38)) % 0.19/0.49 (step @p46 :rule bool-double-not-elim :args (@t33)) % 0.19/0.49 (step @p47 :rule nary_cong :premises (@p33 @p46) :args ((or @t36 (not @t34)))) % 0.19/0.49 (step @p48 :rule cnf_or_neg :args (@t36 1)) % 0.19/0.49 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.19/0.49 (step @p50 :rule reordering :premises (@p49) :args ((or @t33 @t36))) % 0.19/0.49 (step @p51 :rule chain_m_resolution :premises (@p50 @p31) :args (@t33 @t37 @t38)) % 0.19/0.49 (step @p52 :rule cnf_or_pos :args (@t42)) % 0.19/0.49 (step @p53 :rule reordering :premises (@p52) :args ((or @t34 @t32 @t41 (not @t42)))) % 0.19/0.49 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p45 @p39) :args (@t41 (@list false false false) (@list @t33 @t31 @t42))) % 0.19/0.49 (assume-push @p61 @t3) % 0.19/0.49 (step @p56 :rule instantiate :premises (@p1) :args (@t39)) % 0.19/0.49 (step-pop @p62 :rule scope :premises (@p56)) % 0.19/0.49 (step @p57 :rule process_scope :premises (@p62) :args (@t40)) % 0.19/0.49 (step @p59 :rule implies_elim :premises (@p57)) % 0.19/0.49 (step @p60 false :rule chain_m_resolution :premises (@p59 @p54 @p1) :args (false (@list true false) (@list @t40 @t3))) % 0.19/0.49 ) % 0.19/0.49 % SZS output end Proof % 0.19/0.49 % cvc5 exiting %------------------------------------------------------------------------------