%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA007-2 : 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 : n006.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 08:06:31 AM UTC 2026 % Result : Unsatisfiable 0.35s 0.55s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : ANA007-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 02:16:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.55 % SZS status Unsatisfiable % 0.35/0.55 % SZS output start Proof % 0.35/0.55 ( % 0.35/0.55 (declare-sort $$unsorted 0) % 0.35/0.55 (declare-const tptp.c_1 $$unsorted) % 0.35/0.55 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.35/0.55 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.55 (declare-const tptp.c_times (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.55 (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.55 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.35/0.55 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.35/0.55 (declare-const tptp.v_x (-> $$unsorted $$unsorted)) % 0.35/0.55 (declare-const tptp.t_b $$unsorted) % 0.35/0.55 (define @t1 () (@var "V_U" $$unsorted)) % 0.35/0.55 (define @t2 () (tptp.c_HOL_Oabs (tptp.v_f (tptp.v_x @t1)) tptp.t_b)) % 0.35/0.55 (define @t3 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) % 0.35/0.55 (define @t4 () (@var "T_a" $$unsorted)) % 0.35/0.55 (define @t5 () (@var "V_x" $$unsorted)) % 0.35/0.55 (define @t6 () (forall (@list @t4 @t5) (or (not (tptp.class_Orderings_Oorder @t4)) (tptp.c_lessequals @t5 @t5 @t4)))) % 0.35/0.55 (define @t7 () (@var "V_c" $$unsorted)) % 0.35/0.55 (define @t8 () (@var "T" $$unsorted)) % 0.35/0.55 (define @t9 () (tptp.c_HOL_Oabs (tptp.v_f (tptp.v_x tptp.c_1)) tptp.t_b)) % 0.35/0.55 (define @t10 () (tptp.c_times tptp.c_1 @t9 tptp.t_b)) % 0.35/0.55 (define @t11 () (= @t9 @t10)) % 0.35/0.55 (define @t12 () (not @t3)) % 0.35/0.55 (define @t13 () (or @t12 @t11)) % 0.35/0.55 (define @t14 () (@list false false)) % 0.35/0.55 (define @t15 () (tptp.c_lessequals @t10 @t10 tptp.t_b)) % 0.35/0.55 (define @t16 () (tptp.class_Orderings_Oorder tptp.t_b)) % 0.35/0.55 (define @t17 () (or @t12 @t16)) % 0.35/0.55 (define @t18 () (not @t16)) % 0.35/0.55 (define @t19 () (or @t18 @t15)) % 0.35/0.55 (define @t20 () (not @t19)) % 0.35/0.55 (assume @p1 (forall (@list @t1) (not (tptp.c_lessequals @t2 (tptp.c_times @t1 @t2 tptp.t_b) tptp.t_b)))) % 0.35/0.55 (assume @p2 @t3) % 0.35/0.55 (assume @p3 @t6) % 0.35/0.55 (assume @p4 (forall (@list @t4 @t7) (or (not (tptp.class_Ring__and__Field_Oordered__idom @t4)) (= @t7 (tptp.c_times tptp.c_1 @t7 @t4))))) % 0.35/0.55 (assume @p5 (forall (@list @t8) (or (not (tptp.class_Ring__and__Field_Oordered__idom @t8)) (tptp.class_Orderings_Oorder @t8)))) % 0.35/0.55 (step @p6 :rule instantiate :premises (@p1) :args ((@list tptp.c_1))) % 0.35/0.55 (step @p7 :rule false_intro :premises (@p6)) % 0.35/0.55 (step @p8 :rule refl :args (tptp.t_b)) % 0.35/0.55 (step @p9 :rule refl :args (@t10)) % 0.35/0.55 (step @p10 :rule instantiate :premises (@p4) :args ((@list tptp.t_b @t9))) % 0.35/0.55 (step @p11 :rule cnf_or_pos :args (@t13)) % 0.35/0.55 (step @p12 :rule reordering :premises (@p11) :args ((or @t12 @t11 (not @t13)))) % 0.35/0.55 (step @p13 :rule chain_m_resolution :premises (@p12 @p2 @p10) :args (@t11 @t14 (@list @t3 @t13))) % 0.35/0.55 (step @p14 :rule symm :premises (@p13)) % 0.35/0.55 (step @p15 :rule cong :premises (@p14 @p9 @p8) :args (@t15)) % 0.35/0.55 (step @p16 :rule trans :premises (@p15 @p7)) % 0.35/0.55 (step @p17 :rule false_elim :premises (@p16)) % 0.35/0.55 (step @p18 :rule instantiate :premises (@p5) :args ((@list tptp.t_b))) % 0.35/0.55 (step @p19 :rule cnf_or_pos :args (@t17)) % 0.35/0.55 (step @p20 :rule reordering :premises (@p19) :args ((or @t12 @t16 (not @t17)))) % 0.35/0.55 (step @p21 :rule chain_m_resolution :premises (@p20 @p2 @p18) :args (@t16 @t14 (@list @t3 @t17))) % 0.35/0.55 (step @p22 :rule cnf_or_pos :args (@t19)) % 0.35/0.55 (step @p23 :rule reordering :premises (@p22) :args ((or @t18 @t15 @t20))) % 0.35/0.55 (step @p24 :rule chain_m_resolution :premises (@p23 @p21 @p17) :args (@t20 (@list false true) (@list @t16 @t15))) % 0.35/0.55 (assume-push @p31 @t6) % 0.35/0.55 (step @p26 :rule instantiate :premises (@p3) :args ((@list tptp.t_b @t10))) % 0.35/0.55 (step-pop @p32 :rule scope :premises (@p26)) % 0.35/0.55 (step @p27 :rule process_scope :premises (@p32) :args (@t19)) % 0.35/0.55 (step @p29 :rule implies_elim :premises (@p27)) % 0.35/0.55 (step @p30 false :rule chain_m_resolution :premises (@p29 @p24 @p3) :args (false (@list true false) (@list @t19 @t6))) % 0.35/0.55 ) % 0.35/0.55 % SZS output end Proof % 0.35/0.55 % cvc5 exiting %------------------------------------------------------------------------------