%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL678+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 11:23:33 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 : LCL678+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.35 % Computer : n009.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 5 23:57:21 UTC 2026 % 0.08/0.35 % CPUTime : % 0.13/0.42 %----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 $$unsorted 0) % 0.19/0.48 (declare-const tptp.p1 (-> $$unsorted Bool)) % 0.19/0.48 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 0.19/0.48 (define @t1 () (@var "X" $$unsorted)) % 0.19/0.48 (define @t2 () (@list @t1)) % 0.19/0.48 (define @t3 () (@var "Z" $$unsorted)) % 0.19/0.48 (define @t4 () (@var "Y" $$unsorted)) % 0.19/0.48 (define @t5 () (tptp.r1 @t1 @t4)) % 0.19/0.48 (define @t6 () (not @t5)) % 0.19/0.48 (define @t7 () (@list @t4)) % 0.19/0.48 (define @t8 () (forall @t7 (or @t6 (tptp.p1 @t4)))) % 0.19/0.48 (define @t9 () (not (tptp.r1 @t4 @t1))) % 0.19/0.48 (define @t10 () (forall @t2 (or @t9 @t8 (not @t8)))) % 0.19/0.48 (define @t11 () (not @t10)) % 0.19/0.48 (define @t12 () (or @t6 false @t11)) % 0.19/0.48 (define @t13 () (forall @t7 @t12)) % 0.19/0.48 (define @t14 () (not @t13)) % 0.19/0.48 (define @t15 () (or false @t14)) % 0.19/0.48 (define @t16 () (not @t15)) % 0.19/0.48 (define @t17 () (exists @t2 @t16)) % 0.19/0.48 (define @t18 () (forall @t7 @t6)) % 0.19/0.48 (define @t19 () (forall @t2 (not @t18))) % 0.19/0.48 (define @t20 () (not @t19)) % 0.19/0.48 (define @t21 () (or @t6 @t11)) % 0.19/0.48 (define @t22 () (@quantifiers_skolemize @t19 0)) % 0.19/0.48 (define @t23 () (forall @t7 (not (tptp.r1 @t22 @t4)))) % 0.19/0.48 (define @t24 () (not (not @t23))) % 0.19/0.48 (define @t25 () (@list @t22)) % 0.19/0.48 (define @t26 () (tptp.r1 @t22 @t22)) % 0.19/0.48 (assume @p1 (forall @t2 (tptp.r1 @t1 @t1))) % 0.19/0.48 (assume @p2 (forall (@list @t1 @t4 @t3) (=> (and @t5 (tptp.r1 @t4 @t3)) (tptp.r1 @t1 @t3)))) % 0.19/0.48 (assume @p3 (not (not @t17))) % 0.19/0.48 (assume @p4 true) % 0.19/0.48 (step @p5 :rule exists-elim :args ((= (exists @t2 @t18) @t20))) % 0.19/0.48 (step @p6 :rule bool-double-not-elim :args (@t18)) % 0.19/0.48 (step @p7 :rule aci_norm :args ((= (or @t6 false) @t6))) % 0.19/0.48 (step @p8 :rule evaluate :args ((not true))) % 0.19/0.48 (step @p9 :rule quant-unused-vars :args ((= (forall @t2 true) true))) % 0.19/0.48 (step @p10 :rule bool-or-taut :args ((or @t9) @t8 false false)) % 0.19/0.48 (step @p11 :rule cong :premises (@p10) :args (@t10)) % 0.19/0.48 (step @p12 :rule trans :premises (@p11 @p9)) % 0.19/0.48 (step @p13 :rule cong :premises (@p12) :args (@t11)) % 0.19/0.48 (step @p14 :rule trans :premises (@p13 @p8)) % 0.19/0.48 (step @p15 :rule refl :args (@t6)) % 0.19/0.48 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t21)) % 0.19/0.48 (step @p17 :rule trans :premises (@p16 @p7)) % 0.19/0.48 (step @p18 :rule aci_norm :args ((= @t12 @t21))) % 0.19/0.48 (step @p19 :rule trans :premises (@p18 @p17)) % 0.19/0.48 (step @p20 :rule cong :premises (@p19) :args (@t13)) % 0.19/0.48 (step @p21 :rule cong :premises (@p20) :args (@t14)) % 0.19/0.48 (step @p22 :rule aci_norm :args ((= @t15 @t14))) % 0.19/0.48 (step @p23 :rule trans :premises (@p22 @p21)) % 0.19/0.48 (step @p24 :rule cong :premises (@p23) :args (@t16)) % 0.19/0.48 (step @p25 :rule trans :premises (@p24 @p6)) % 0.19/0.48 (step @p26 :rule cong :premises (@p25) :args (@t17)) % 0.19/0.48 (step @p27 :rule trans :premises (@p26 @p5)) % 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 (@p3 @p29)) % 0.19/0.48 (step @p31 :rule refl :args (@t23)) % 0.19/0.48 (step @p32 :rule bool-double-not-elim :args (@t19)) % 0.19/0.48 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t20) @t23))) % 0.19/0.48 (step @p34 :rule bool-double-not-elim :args (@t23)) % 0.19/0.48 (step @p35 :rule refl :args (@t20)) % 0.19/0.48 (step @p36 :rule cong :premises (@p35 @p34) :args ((=> @t20 @t24))) % 0.19/0.48 (assume-push @p52 @t20) % 0.19/0.48 (step @p38 :rule skolemize :premises (@p30)) % 0.19/0.48 (step-pop @p53 :rule scope :premises (@p38)) % 0.19/0.48 (step @p39 :rule process_scope :premises (@p53) :args (@t24)) % 0.19/0.48 (step @p41 :rule eq_resolve :premises (@p39 @p36)) % 0.19/0.48 (step @p42 :rule implies_elim :premises (@p41)) % 0.19/0.48 (step @p43 :rule eq_resolve :premises (@p42 @p33)) % 0.19/0.48 (step @p44 :rule chain_m_resolution :premises (@p43 @p30) :args (@t23 (@list true) (@list @t19))) % 0.19/0.48 (step @p45 :rule instantiate :premises (@p1) :args (@t25)) % 0.19/0.48 (assume-push @p54 @t23) % 0.19/0.48 (step @p47 :rule instantiate :premises (@p44) :args (@t25)) % 0.19/0.48 (step-pop @p55 :rule scope :premises (@p47)) % 0.19/0.48 (step @p48 :rule process_scope :premises (@p55) :args ((not @t26))) % 0.19/0.48 (step @p50 :rule implies_elim :premises (@p48)) % 0.19/0.48 (step @p51 false :rule chain_m_resolution :premises (@p50 @p45 @p44) :args (false (@list false false) (@list @t26 @t23))) % 0.19/0.48 ) % 0.19/0.48 % SZS output end Proof % 0.19/0.48 % cvc5 exiting %------------------------------------------------------------------------------