%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA032-2 : 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 : n003.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 08:06:36 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ANA032-2 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n003.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 02:19:29 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Unsatisfiable % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_0 $$unsorted) % 0.38/0.57 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__abs (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.c_times (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.class_OrderedGroup_Osemigroup__mult (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.v_c $$unsorted) % 0.38/0.57 (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.t_b $$unsorted) % 0.38/0.57 (declare-const tptp.v_x $$unsorted) % 0.38/0.57 (declare-const tptp.v_g (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.v_b (-> $$unsorted $$unsorted)) % 0.38/0.57 (define @t1 () (@var "T_a" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "V_a" $$unsorted)) % 0.38/0.57 (define @t3 () (@var "V_c" $$unsorted)) % 0.38/0.57 (define @t4 () (@var "V_b" $$unsorted)) % 0.38/0.57 (define @t5 () (tptp.c_times @t2 @t4 @t1)) % 0.38/0.57 (define @t6 () (@list @t1 @t2 @t4 @t3)) % 0.38/0.57 (define @t7 () (forall @t6 (or (not (tptp.class_Ring__and__Field_Opordered__semiring @t1)) (not (tptp.c_lessequals @t2 @t4 @t1)) (not (tptp.c_lessequals tptp.c_0 @t3 @t1)) (tptp.c_lessequals (tptp.c_times @t3 @t2 @t1) (tptp.c_times @t3 @t4 @t1) @t1)))) % 0.38/0.57 (define @t8 () (tptp.c_HOL_Oabs (tptp.v_g tptp.v_x) tptp.t_b)) % 0.38/0.57 (define @t9 () (tptp.c_times tptp.v_c @t8 tptp.t_b)) % 0.38/0.57 (define @t10 () (tptp.c_HOL_Oabs (tptp.v_b tptp.v_x) tptp.t_b)) % 0.38/0.57 (define @t11 () (tptp.v_f tptp.v_x)) % 0.38/0.57 (define @t12 () (tptp.c_HOL_Oabs @t11 tptp.t_b)) % 0.38/0.57 (define @t13 () (tptp.c_times @t12 @t8 tptp.t_b)) % 0.38/0.57 (define @t14 () (tptp.c_times tptp.v_c @t13 tptp.t_b)) % 0.38/0.57 (define @t15 () (tptp.c_times @t10 @t12 tptp.t_b)) % 0.38/0.57 (define @t16 () (@var "T" $$unsorted)) % 0.38/0.57 (define @t17 () (not (tptp.class_Ring__and__Field_Oordered__idom @t16))) % 0.38/0.57 (define @t18 () (@list @t16)) % 0.38/0.57 (define @t19 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) % 0.38/0.57 (define @t20 () (@list tptp.t_b)) % 0.38/0.57 (define @t21 () (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.t_b)) % 0.38/0.57 (define @t22 () (not @t19)) % 0.38/0.57 (define @t23 () (or @t22 @t21)) % 0.38/0.57 (define @t24 () (@list false false)) % 0.38/0.57 (define @t25 () (tptp.c_times @t13 tptp.v_c tptp.t_b)) % 0.38/0.57 (define @t26 () (= @t14 @t25)) % 0.38/0.57 (define @t27 () (not @t21)) % 0.38/0.57 (define @t28 () (or @t27 @t26)) % 0.38/0.57 (define @t29 () (tptp.class_OrderedGroup_Osemigroup__mult tptp.t_b)) % 0.38/0.57 (define @t30 () (or @t22 @t29)) % 0.38/0.57 (define @t31 () (tptp.c_times @t8 tptp.v_c tptp.t_b)) % 0.38/0.57 (define @t32 () (tptp.c_times @t12 @t31 tptp.t_b)) % 0.38/0.57 (define @t33 () (= @t25 @t32)) % 0.38/0.57 (define @t34 () (not @t29)) % 0.38/0.57 (define @t35 () (or @t34 @t33)) % 0.38/0.57 (define @t36 () (tptp.c_times @t12 @t10 tptp.t_b)) % 0.38/0.57 (define @t37 () (= @t15 @t36)) % 0.38/0.57 (define @t38 () (or @t27 @t37)) % 0.38/0.57 (define @t39 () (tptp.c_lessequals @t36 @t32 tptp.t_b)) % 0.38/0.57 (define @t40 () (= @t9 @t31)) % 0.38/0.57 (define @t41 () (or @t27 @t40)) % 0.38/0.57 (define @t42 () (tptp.c_lessequals @t10 @t31 tptp.t_b)) % 0.38/0.57 (define @t43 () (tptp.class_Ring__and__Field_Opordered__semiring tptp.t_b)) % 0.38/0.57 (define @t44 () (or @t22 @t43)) % 0.38/0.57 (define @t45 () (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) % 0.38/0.57 (define @t46 () (or @t22 @t45)) % 0.38/0.57 (define @t47 () (tptp.c_lessequals tptp.c_0 @t12 tptp.t_b)) % 0.38/0.57 (define @t48 () (not @t45)) % 0.38/0.57 (define @t49 () (or @t48 @t47)) % 0.38/0.57 (define @t50 () (not @t47)) % 0.38/0.57 (define @t51 () (not @t42)) % 0.38/0.57 (define @t52 () (not @t43)) % 0.38/0.57 (define @t53 () (or @t52 @t51 @t50 @t39)) % 0.38/0.57 (define @t54 () (not @t53)) % 0.38/0.57 (assume @p1 (forall (@list @t1 @t2) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs @t1)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs @t2 @t1) @t1)))) % 0.38/0.57 (assume @p2 (forall @t6 (or (not (tptp.class_OrderedGroup_Osemigroup__mult @t1)) (= (tptp.c_times @t5 @t3 @t1) (tptp.c_times @t2 (tptp.c_times @t4 @t3 @t1) @t1))))) % 0.38/0.57 (assume @p3 (forall (@list @t1 @t2 @t4) (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t1)) (= @t5 (tptp.c_times @t4 @t2 @t1))))) % 0.38/0.57 (assume @p4 @t7) % 0.38/0.57 (assume @p5 (tptp.c_lessequals @t10 @t9 tptp.t_b)) % 0.38/0.57 (assume @p6 (not (tptp.c_lessequals @t15 @t14 tptp.t_b))) % 0.38/0.57 (assume @p7 (forall @t18 (or @t17 (tptp.class_OrderedGroup_Oab__semigroup__mult @t16)))) % 0.38/0.57 (assume @p8 (forall @t18 (or @t17 (tptp.class_OrderedGroup_Osemigroup__mult @t16)))) % 0.38/0.57 (assume @p9 (forall @t18 (or @t17 (tptp.class_Ring__and__Field_Opordered__semiring @t16)))) % 0.38/0.57 (assume @p10 (forall @t18 (or @t17 (tptp.class_OrderedGroup_Olordered__ab__group__abs @t16)))) % 0.38/0.57 (assume @p11 @t19) % 0.38/0.57 (step @p12 :rule false_intro :premises (@p6)) % 0.38/0.57 (step @p13 :rule refl :args (tptp.t_b)) % 0.38/0.57 (step @p14 :rule instantiate :premises (@p3) :args ((@list tptp.t_b tptp.v_c @t13))) % 0.38/0.57 (step @p15 :rule instantiate :premises (@p7) :args (@t20)) % 0.38/0.57 (step @p16 :rule cnf_or_pos :args (@t23)) % 0.38/0.57 (step @p17 :rule reordering :premises (@p16) :args ((or @t22 @t21 (not @t23)))) % 0.38/0.57 (step @p18 :rule chain_m_resolution :premises (@p17 @p11 @p15) :args (@t21 @t24 (@list @t19 @t23))) % 0.38/0.57 (step @p19 :rule cnf_or_pos :args (@t28)) % 0.38/0.57 (step @p20 :rule reordering :premises (@p19) :args ((or @t27 @t26 (not @t28)))) % 0.38/0.57 (step @p21 :rule chain_m_resolution :premises (@p20 @p18 @p14) :args (@t26 @t24 (@list @t21 @t28))) % 0.38/0.57 (step @p22 :rule symm :premises (@p21)) % 0.38/0.57 (step @p23 :rule instantiate :premises (@p2) :args ((@list tptp.t_b @t12 @t8 tptp.v_c))) % 0.38/0.57 (step @p24 :rule instantiate :premises (@p8) :args (@t20)) % 0.38/0.57 (step @p25 :rule cnf_or_pos :args (@t30)) % 0.38/0.57 (step @p26 :rule reordering :premises (@p25) :args ((or @t22 @t29 (not @t30)))) % 0.38/0.57 (step @p27 :rule chain_m_resolution :premises (@p26 @p11 @p24) :args (@t29 @t24 (@list @t19 @t30))) % 0.38/0.57 (step @p28 :rule cnf_or_pos :args (@t35)) % 0.38/0.57 (step @p29 :rule reordering :premises (@p28) :args ((or @t34 @t33 (not @t35)))) % 0.38/0.57 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p23) :args (@t33 @t24 (@list @t29 @t35))) % 0.38/0.57 (step @p31 :rule symm :premises (@p30)) % 0.38/0.57 (step @p32 :rule trans :premises (@p31 @p22)) % 0.38/0.57 (step @p33 :rule instantiate :premises (@p3) :args ((@list tptp.t_b @t10 @t12))) % 0.38/0.57 (step @p34 :rule cnf_or_pos :args (@t38)) % 0.38/0.57 (step @p35 :rule reordering :premises (@p34) :args ((or @t27 @t37 (not @t38)))) % 0.38/0.57 (step @p36 :rule chain_m_resolution :premises (@p35 @p18 @p33) :args (@t37 @t24 (@list @t21 @t38))) % 0.38/0.57 (step @p37 :rule symm :premises (@p36)) % 0.38/0.57 (step @p38 :rule cong :premises (@p37 @p32 @p13) :args (@t39)) % 0.38/0.57 (step @p39 :rule trans :premises (@p38 @p12)) % 0.38/0.57 (step @p40 :rule false_elim :premises (@p39)) % 0.38/0.57 (step @p41 :rule true_intro :premises (@p5)) % 0.38/0.57 (step @p42 :rule instantiate :premises (@p3) :args ((@list tptp.t_b tptp.v_c @t8))) % 0.38/0.57 (step @p43 :rule cnf_or_pos :args (@t41)) % 0.38/0.57 (step @p44 :rule reordering :premises (@p43) :args ((or @t27 @t40 (not @t41)))) % 0.38/0.57 (step @p45 :rule chain_m_resolution :premises (@p44 @p18 @p42) :args (@t40 @t24 (@list @t21 @t41))) % 0.38/0.57 (step @p46 :rule symm :premises (@p45)) % 0.38/0.57 (step @p47 :rule refl :args (@t10)) % 0.38/0.57 (step @p48 :rule cong :premises (@p47 @p46 @p13) :args (@t42)) % 0.38/0.57 (step @p49 :rule trans :premises (@p48 @p41)) % 0.38/0.57 (step @p50 :rule true_elim :premises (@p49)) % 0.38/0.57 (step @p51 :rule instantiate :premises (@p9) :args (@t20)) % 0.38/0.57 (step @p52 :rule cnf_or_pos :args (@t44)) % 0.38/0.57 (step @p53 :rule reordering :premises (@p52) :args ((or @t22 @t43 (not @t44)))) % 0.38/0.57 (step @p54 :rule chain_m_resolution :premises (@p53 @p11 @p51) :args (@t43 @t24 (@list @t19 @t44))) % 0.38/0.57 (step @p55 :rule instantiate :premises (@p1) :args ((@list tptp.t_b @t11))) % 0.38/0.57 (step @p56 :rule instantiate :premises (@p10) :args (@t20)) % 0.38/0.57 (step @p57 :rule cnf_or_pos :args (@t46)) % 0.38/0.57 (step @p58 :rule reordering :premises (@p57) :args ((or @t22 @t45 (not @t46)))) % 0.38/0.57 (step @p59 :rule chain_m_resolution :premises (@p58 @p11 @p56) :args (@t45 @t24 (@list @t19 @t46))) % 0.38/0.57 (step @p60 :rule cnf_or_pos :args (@t49)) % 0.38/0.57 (step @p61 :rule reordering :premises (@p60) :args ((or @t48 @t47 (not @t49)))) % 0.38/0.57 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p55) :args (@t47 @t24 (@list @t45 @t49))) % 0.38/0.57 (step @p63 :rule cnf_or_pos :args (@t53)) % 0.38/0.57 (step @p64 :rule reordering :premises (@p63) :args ((or @t50 @t52 @t51 @t39 @t54))) % 0.38/0.57 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p54 @p50 @p40) :args (@t54 (@list false false false true) (@list @t47 @t43 @t42 @t39))) % 0.38/0.57 (assume-push @p72 @t7) % 0.38/0.57 (step @p67 :rule instantiate :premises (@p4) :args ((@list tptp.t_b @t10 @t31 @t12))) % 0.38/0.57 (step-pop @p73 :rule scope :premises (@p67)) % 0.38/0.57 (step @p68 :rule process_scope :premises (@p73) :args (@t53)) % 0.38/0.57 (step @p70 :rule implies_elim :premises (@p68)) % 0.38/0.57 (step @p71 false :rule chain_m_resolution :premises (@p70 @p65 @p4) :args (false (@list true false) (@list @t53 @t7))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------