%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL414+1 : TPTP v9.3.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 11:22:48 AM UTC 2026 % Result : Theorem 15.23s 15.82s % Output : Proof 15.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL414+1 : TPTP v9.3.1. Released v2.5.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n027.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 5 13:03:28 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.44 %----Proving TF0_NAR, FOF, or CNF % 15.23/15.82 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.23/15.82 --- Run --no-e-matching --full-saturate-quant at 6... % 15.23/15.82 % SZS status Theorem % 15.23/15.82 % SZS output start Proof % 15.23/15.82 ( % 15.23/15.82 (declare-sort $$unsorted 0) % 15.23/15.82 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 15.23/15.82 (declare-const tptp.a_truth (-> $$unsorted Bool)) % 15.23/15.82 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 15.23/15.82 (define @t1 () (@var "A" $$unsorted)) % 15.23/15.82 (define @t2 () (tptp.a_truth (tptp.implies @t1 @t1))) % 15.23/15.82 (define @t3 () (not @t2)) % 15.23/15.82 (define @t4 () (@list @t1)) % 15.23/15.82 (define @t5 () (exists @t4 @t3)) % 15.23/15.82 (define @t6 () (@var "P" $$unsorted)) % 15.23/15.82 (define @t7 () (@var "Q" $$unsorted)) % 15.23/15.82 (define @t8 () (tptp.implies @t7 @t6)) % 15.23/15.82 (define @t9 () (@list @t6 @t7)) % 15.23/15.82 (define @t10 () (forall @t9 (tptp.a_truth (tptp.implies (tptp.implies (tptp.not @t6) (tptp.not @t7)) @t8)))) % 15.23/15.82 (define @t11 () (@var "R" $$unsorted)) % 15.23/15.82 (define @t12 () (tptp.implies @t6 @t7)) % 15.23/15.82 (define @t13 () (forall (@list @t6 @t7 @t11) (tptp.a_truth (tptp.implies (tptp.implies @t6 (tptp.implies @t7 @t11)) (tptp.implies @t12 (tptp.implies @t6 @t11)))))) % 15.23/15.82 (define @t14 () (forall @t9 (tptp.a_truth (tptp.implies @t6 @t8)))) % 15.23/15.82 (define @t15 () (forall @t9 (or (not (tptp.a_truth @t12)) (not (tptp.a_truth @t6)) (tptp.a_truth @t7)))) % 15.23/15.82 (define @t16 () (and @t15 @t14 @t13 @t10 @t5)) % 15.23/15.82 (define @t17 () (forall @t4 (not @t3))) % 15.23/15.82 (define @t18 () (not @t17)) % 15.23/15.82 (define @t19 () (@quantifiers_skolemize (forall @t4 @t2) 0)) % 15.23/15.82 (define @t20 () (tptp.implies @t19 @t19)) % 15.23/15.82 (define @t21 () (tptp.implies @t19 @t20)) % 15.23/15.82 (define @t22 () (tptp.a_truth @t20)) % 15.23/15.82 (define @t23 () (tptp.a_truth @t21)) % 15.23/15.82 (define @t24 () (not @t23)) % 15.23/15.82 (define @t25 () (tptp.implies @t21 @t20)) % 15.23/15.82 (define @t26 () (tptp.a_truth @t25)) % 15.23/15.82 (define @t27 () (not @t26)) % 15.23/15.82 (define @t28 () (or @t27 @t24 @t22)) % 15.23/15.82 (define @t29 () (tptp.implies @t19 (tptp.implies @t20 @t19))) % 15.23/15.82 (define @t30 () (tptp.a_truth @t29)) % 15.23/15.82 (define @t31 () (not @t30)) % 15.23/15.82 (define @t32 () (tptp.a_truth (tptp.implies @t29 @t25))) % 15.23/15.82 (define @t33 () (not @t32)) % 15.23/15.82 (define @t34 () (or @t33 @t31 @t26)) % 15.23/15.82 (define @t35 () (not @t34)) % 15.23/15.82 (assume @p1 (not (not @t16))) % 15.23/15.82 (assume @p2 true) % 15.23/15.82 (step @p3 :rule bool-double-not-elim :args (@t2)) % 15.23/15.82 (step @p4 :rule cong :premises (@p3) :args (@t17)) % 15.23/15.82 (step @p5 :rule cong :premises (@p4) :args (@t18)) % 15.23/15.82 (step @p6 :rule exists-elim :args ((= @t5 @t18))) % 15.23/15.82 (step @p7 :rule trans :premises (@p6 @p5)) % 15.23/15.82 (step @p8 :rule refl :args (@t10)) % 15.23/15.82 (step @p9 :rule refl :args (@t13)) % 15.23/15.82 (step @p10 :rule refl :args (@t14)) % 15.23/15.82 (step @p11 :rule refl :args (@t15)) % 15.23/15.82 (step @p12 :rule nary_cong :premises (@p11 @p10 @p9 @p8 @p7) :args (@t16)) % 15.23/15.82 (step @p13 :rule bool-double-not-elim :args (@t16)) % 15.23/15.82 (step @p14 :rule trans :premises (@p13 @p12)) % 15.23/15.82 (step @p15 :rule eq_resolve :premises (@p1 @p14)) % 15.23/15.82 (step @p16 :rule and_elim :premises (@p15) :args (0)) % 15.23/15.82 (step @p17 :rule and_elim :premises (@p15) :args (2)) % 15.23/15.82 (step @p18 :rule instantiate :premises (@p17) :args ((@list @t19 @t20 @t19))) % 15.23/15.82 (step @p19 :rule instantiate :premises (@p16) :args ((@list @t21 @t20))) % 15.23/15.82 (step @p20 :rule and_elim :premises (@p15) :args (1)) % 15.23/15.82 (step @p21 :rule instantiate :premises (@p20) :args ((@list @t19 @t19))) % 15.23/15.82 (step @p22 :rule and_elim :premises (@p15) :args (4)) % 15.23/15.82 (step @p23 :rule skolemize :premises (@p22)) % 15.23/15.82 (step @p24 :rule cnf_or_pos :args (@t28)) % 15.23/15.82 (step @p25 :rule reordering :premises (@p24) :args ((or @t22 @t24 @t27 (not @t28)))) % 15.23/15.82 (step @p26 :rule chain_m_resolution :premises (@p25 @p23 @p21 @p19) :args (@t27 (@list true false false) (@list @t22 @t23 @t28))) % 15.23/15.82 (step @p27 :rule instantiate :premises (@p20) :args ((@list @t19 @t20))) % 15.23/15.82 (step @p28 :rule cnf_or_pos :args (@t34)) % 15.23/15.82 (step @p29 :rule reordering :premises (@p28) :args ((or @t31 @t26 @t33 @t35))) % 15.23/15.82 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p26 @p18) :args (@t35 (@list false true false) (@list @t30 @t26 @t32))) % 15.23/15.82 (assume-push @p37 @t15) % 15.23/15.82 (step @p32 :rule instantiate :premises (@p16) :args ((@list @t29 @t25))) % 15.23/15.82 (step-pop @p38 :rule scope :premises (@p32)) % 15.23/15.82 (step @p33 :rule process_scope :premises (@p38) :args (@t34)) % 15.23/15.82 (step @p35 :rule implies_elim :premises (@p33)) % 15.23/15.82 (step @p36 false :rule chain_m_resolution :premises (@p35 @p30 @p16) :args (false (@list true false) (@list @t34 @t15))) % 15.23/15.82 ) % 15.23/15.82 % SZS output end Proof % 15.23/15.82 % cvc5 exiting %------------------------------------------------------------------------------