%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA021-2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:06:33 AM UTC 2026 % Result : Unsatisfiable 0.14s 0.35s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : ANA021-2 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 21:18:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.14/0.35 % SZS status Unsatisfiable % 0.14/0.35 % SZS output start Proof % 0.14/0.35 ( % 0.14/0.35 (declare-sort $$unsorted 0) % 0.14/0.35 (declare-const tptp.v_x $$unsorted) % 0.14/0.35 (declare-const tptp.tc_nat $$unsorted) % 0.14/0.35 (declare-const tptp.c_1 $$unsorted) % 0.14/0.35 (declare-const tptp.c_minus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.14/0.35 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.14/0.35 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.14/0.35 (declare-const tptp.c_0 $$unsorted) % 0.14/0.35 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.14/0.35 (declare-const tptp.c_less (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.14/0.35 (declare-const tptp.t_a $$unsorted) % 0.14/0.35 (declare-const tptp.v_h (-> $$unsorted $$unsorted)) % 0.14/0.35 (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.35 (declare-const tptp.v_c $$unsorted) % 0.14/0.35 (declare-const tptp.c_times (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.14/0.35 (define @t1 () (@var "V_x" $$unsorted)) % 0.14/0.35 (define @t2 () (@var "V_n" $$unsorted)) % 0.14/0.35 (define @t3 () (tptp.c_less tptp.c_0 @t2 tptp.tc_nat)) % 0.14/0.35 (define @t4 () (or @t3 (= @t2 tptp.c_0))) % 0.14/0.35 (define @t5 () (forall (@list @t2) @t4)) % 0.14/0.35 (define @t6 () (@var "V_U" $$unsorted)) % 0.14/0.35 (define @t7 () (tptp.c_Suc @t6)) % 0.14/0.35 (define @t8 () (forall (@list @t6) (tptp.c_lessequals (tptp.c_HOL_Oabs (tptp.v_f @t7) tptp.t_a) (tptp.c_times tptp.v_c (tptp.c_HOL_Oabs (tptp.v_h @t7) tptp.t_a) tptp.t_a) tptp.t_a))) % 0.14/0.35 (define @t9 () (@list tptp.v_x)) % 0.14/0.35 (define @t10 () (= tptp.c_0 tptp.v_x)) % 0.14/0.35 (define @t11 () (tptp.c_less tptp.c_0 tptp.v_x tptp.tc_nat)) % 0.14/0.35 (define @t12 () (or @t11 @t10)) % 0.14/0.35 (define @t13 () (@list true false)) % 0.14/0.35 (define @t14 () (tptp.c_minus tptp.v_x tptp.c_1 tptp.tc_nat)) % 0.14/0.35 (define @t15 () (tptp.c_Suc @t14)) % 0.14/0.35 (define @t16 () (= tptp.v_x @t15)) % 0.14/0.35 (define @t17 () (not @t11)) % 0.14/0.35 (define @t18 () (or @t17 @t16)) % 0.14/0.35 (define @t19 () (tptp.v_h @t15)) % 0.14/0.35 (define @t20 () (tptp.c_HOL_Oabs @t19 tptp.t_a)) % 0.14/0.35 (define @t21 () (tptp.c_times tptp.v_c @t20 tptp.t_a)) % 0.14/0.35 (define @t22 () (tptp.v_f @t15)) % 0.14/0.35 (define @t23 () (tptp.c_HOL_Oabs @t22 tptp.t_a)) % 0.14/0.35 (define @t24 () (tptp.c_lessequals @t23 @t21 tptp.t_a)) % 0.14/0.35 (assume @p1 (forall (@list @t1) (or (not (tptp.c_less tptp.c_0 @t1 tptp.tc_nat)) (= @t1 (tptp.c_Suc (tptp.c_minus @t1 tptp.c_1 tptp.tc_nat)))))) % 0.14/0.35 (assume @p2 @t5) % 0.14/0.35 (assume @p3 @t8) % 0.14/0.35 (assume @p4 (not (= tptp.v_x tptp.c_0))) % 0.14/0.35 (assume @p5 (not (tptp.c_lessequals (tptp.c_HOL_Oabs (tptp.v_f tptp.v_x) tptp.t_a) (tptp.c_times tptp.v_c (tptp.c_HOL_Oabs (tptp.v_h tptp.v_x) tptp.t_a) tptp.t_a) tptp.t_a))) % 0.14/0.35 (step @p6 :rule false_intro :premises (@p5)) % 0.14/0.35 (step @p7 :rule refl :args (tptp.t_a)) % 0.14/0.35 (step @p8 :rule instantiate :premises (@p1) :args (@t9)) % 0.14/0.35 (step @p9 :rule eq-symm :args (@t2 tptp.c_0)) % 0.14/0.35 (step @p10 :rule refl :args (@t3)) % 0.14/0.35 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t4)) % 0.14/0.35 (step @p12 :rule cong :premises (@p11) :args (@t5)) % 0.14/0.35 (step @p13 :rule eq_resolve :premises (@p2 @p12)) % 0.14/0.35 (step @p14 :rule instantiate :premises (@p13) :args (@t9)) % 0.14/0.35 (step @p15 :rule symm :premises (@p4)) % 0.14/0.35 (step @p16 :rule cnf_or_pos :args (@t12)) % 0.14/0.35 (step @p17 :rule reordering :premises (@p16) :args ((or @t10 @t11 (not @t12)))) % 0.14/0.35 (step @p18 :rule chain_m_resolution :premises (@p17 @p15 @p14) :args (@t11 @t13 (@list @t10 @t12))) % 0.14/0.35 (step @p19 :rule cnf_or_pos :args (@t18)) % 0.14/0.35 (step @p20 :rule reordering :premises (@p19) :args ((or @t17 @t16 (not @t18)))) % 0.14/0.35 (step @p21 :rule chain_m_resolution :premises (@p20 @p18 @p8) :args (@t16 (@list false false) (@list @t11 @t18))) % 0.14/0.35 (step @p22 :rule symm :premises (@p21)) % 0.14/0.35 (step @p23 :rule cong :premises (@p22) :args (@t19)) % 0.14/0.35 (step @p24 :rule cong :premises (@p23 @p7) :args (@t20)) % 0.14/0.35 (step @p25 :rule refl :args (tptp.v_c)) % 0.14/0.35 (step @p26 :rule cong :premises (@p25 @p24 @p7) :args (@t21)) % 0.14/0.35 (step @p27 :rule cong :premises (@p22) :args (@t22)) % 0.14/0.35 (step @p28 :rule cong :premises (@p27 @p7) :args (@t23)) % 0.14/0.35 (step @p29 :rule cong :premises (@p28 @p26 @p7) :args (@t24)) % 0.14/0.35 (step @p30 :rule trans :premises (@p29 @p6)) % 0.14/0.35 (step @p31 :rule false_elim :premises (@p30)) % 0.14/0.35 (assume-push @p38 @t8) % 0.14/0.35 (step @p33 :rule instantiate :premises (@p3) :args ((@list @t14))) % 0.14/0.35 (step-pop @p39 :rule scope :premises (@p33)) % 0.14/0.35 (step @p34 :rule process_scope :premises (@p39) :args (@t24)) % 0.14/0.35 (step @p36 :rule implies_elim :premises (@p34)) % 0.14/0.35 (step @p37 false :rule chain_m_resolution :premises (@p36 @p31 @p3) :args (false @t13 (@list @t24 @t8))) % 0.14/0.35 ) % 0.14/0.35 % SZS output end Proof % 0.14/0.35 % cvc5 exiting %------------------------------------------------------------------------------