%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA035-2 : 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 : n012.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 0.15s 0.36s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : ANA035-2 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n012.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Wed Jun 3 02:20:03 EDT 2026 % 0.06/0.25 % CPUTime : % 0.06/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.36 % SZS status Unsatisfiable % 0.15/0.36 % SZS output start Proof % 0.15/0.37 ( % 0.15/0.37 (declare-sort $$unsorted 0) % 0.15/0.37 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.v_c $$unsorted) % 0.15/0.37 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.c_times (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.v_ca $$unsorted) % 0.15/0.37 (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.v_g (-> $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.v_x $$unsorted) % 0.15/0.37 (declare-const tptp.t_b $$unsorted) % 0.15/0.37 (define @t1 () (tptp.v_g tptp.v_x)) % 0.15/0.37 (define @t2 () (tptp.c_HOL_Oabs @t1 tptp.t_b)) % 0.15/0.37 (define @t3 () (tptp.v_f tptp.v_x)) % 0.15/0.37 (define @t4 () (tptp.c_HOL_Oabs @t3 tptp.t_b)) % 0.15/0.37 (define @t5 () (tptp.c_times tptp.v_c @t4 tptp.t_b)) % 0.15/0.37 (define @t6 () (tptp.c_times @t5 (tptp.c_times tptp.v_ca @t2 tptp.t_b) tptp.t_b)) % 0.15/0.37 (define @t7 () (tptp.c_HOL_Oabs (tptp.c_times @t3 @t1 tptp.t_b) tptp.t_b)) % 0.15/0.37 (define @t8 () (tptp.c_times tptp.v_c tptp.v_ca tptp.t_b)) % 0.15/0.37 (define @t9 () (tptp.c_times @t8 @t7 tptp.t_b)) % 0.15/0.37 (define @t10 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) % 0.15/0.37 (define @t11 () (@var "T_a" $$unsorted)) % 0.15/0.37 (define @t12 () (@var "V_a" $$unsorted)) % 0.15/0.37 (define @t13 () (@var "V_b" $$unsorted)) % 0.15/0.37 (define @t14 () (tptp.c_times @t12 @t13 @t11)) % 0.15/0.37 (define @t15 () (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t11))) % 0.15/0.37 (define @t16 () (@list @t11 @t12 @t13)) % 0.15/0.37 (define @t17 () (@var "V_c" $$unsorted)) % 0.15/0.37 (define @t18 () (forall (@list @t11 @t12 @t13 @t17) (or @t15 (= (tptp.c_times @t12 (tptp.c_times @t13 @t17 @t11) @t11) (tptp.c_times @t13 (tptp.c_times @t12 @t17 @t11) @t11))))) % 0.15/0.37 (define @t19 () (@var "T" $$unsorted)) % 0.15/0.37 (define @t20 () (tptp.c_times @t2 @t4 tptp.t_b)) % 0.15/0.37 (define @t21 () (tptp.c_times tptp.v_ca @t20 tptp.t_b)) % 0.15/0.37 (define @t22 () (tptp.c_times tptp.v_c @t21 tptp.t_b)) % 0.15/0.37 (define @t23 () (tptp.c_times tptp.v_c @t20 tptp.t_b)) % 0.15/0.37 (define @t24 () (tptp.c_times tptp.v_ca @t23 tptp.t_b)) % 0.15/0.37 (define @t25 () (= @t24 @t22)) % 0.15/0.37 (define @t26 () (= @t22 @t24)) % 0.15/0.37 (define @t27 () (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.t_b)) % 0.15/0.37 (define @t28 () (not @t10)) % 0.15/0.37 (define @t29 () (or @t28 @t27)) % 0.15/0.37 (define @t30 () (@list false false)) % 0.15/0.37 (define @t31 () (tptp.c_times @t5 @t2 tptp.t_b)) % 0.15/0.37 (define @t32 () (= @t6 (tptp.c_times tptp.v_ca @t31 tptp.t_b))) % 0.15/0.37 (define @t33 () (not @t27)) % 0.15/0.37 (define @t34 () (or @t33 @t32)) % 0.15/0.37 (define @t35 () (tptp.c_times @t2 @t5 tptp.t_b)) % 0.15/0.37 (define @t36 () (= @t31 @t35)) % 0.15/0.37 (define @t37 () (or @t33 @t36)) % 0.15/0.37 (define @t38 () (= @t35 @t23)) % 0.15/0.37 (define @t39 () (or @t33 @t38)) % 0.15/0.37 (define @t40 () (tptp.c_times @t7 @t8 tptp.t_b)) % 0.15/0.37 (define @t41 () (= @t9 @t40)) % 0.15/0.37 (define @t42 () (or @t33 @t41)) % 0.15/0.37 (define @t43 () (tptp.c_times @t7 tptp.v_ca tptp.t_b)) % 0.15/0.37 (define @t44 () (= @t40 (tptp.c_times tptp.v_c @t43 tptp.t_b))) % 0.15/0.37 (define @t45 () (or @t33 @t44)) % 0.15/0.37 (define @t46 () (= @t43 (tptp.c_times tptp.v_ca @t7 tptp.t_b))) % 0.15/0.37 (define @t47 () (or @t33 @t46)) % 0.15/0.37 (define @t48 () (tptp.c_times @t4 @t2 tptp.t_b)) % 0.15/0.37 (define @t49 () (= @t7 @t48)) % 0.15/0.37 (define @t50 () (or @t28 @t49)) % 0.15/0.37 (define @t51 () (= @t48 @t20)) % 0.15/0.37 (define @t52 () (or @t33 @t51)) % 0.15/0.37 (define @t53 () (or @t33 @t25)) % 0.15/0.37 (define @t54 () (not @t53)) % 0.15/0.37 (assume @p1 (not (= @t9 @t6))) % 0.15/0.37 (assume @p2 @t10) % 0.15/0.37 (assume @p3 (forall @t16 (or @t15 (= @t14 (tptp.c_times @t13 @t12 @t11))))) % 0.15/0.37 (assume @p4 @t18) % 0.15/0.37 (assume @p5 (forall @t16 (or (not (tptp.class_Ring__and__Field_Oordered__idom @t11)) (= (tptp.c_HOL_Oabs @t14 @t11) (tptp.c_times (tptp.c_HOL_Oabs @t12 @t11) (tptp.c_HOL_Oabs @t13 @t11) @t11))))) % 0.15/0.37 (assume @p6 (forall (@list @t19) (or (not (tptp.class_Ring__and__Field_Oordered__idom @t19)) (tptp.class_OrderedGroup_Oab__semigroup__mult @t19)))) % 0.15/0.37 (step @p7 :rule bool-eq-false :args (@t25)) % 0.15/0.37 (step @p8 :rule symm :premises (@p7)) % 0.15/0.37 (step @p9 :rule eq-symm :args (@t22 @t24)) % 0.15/0.37 (step @p10 :rule cong :premises (@p9) :args ((not @t26))) % 0.15/0.37 (step @p11 :rule bool-eq-false :args (@t26)) % 0.15/0.37 (step @p12 :rule trans :premises (@p11 @p10)) % 0.15/0.37 (step @p13 :rule trans :premises (@p12 @p8)) % 0.15/0.37 (step @p14 :rule false_intro :premises (@p1)) % 0.15/0.37 (step @p15 :rule instantiate :premises (@p4) :args ((@list tptp.t_b @t5 tptp.v_ca @t2))) % 0.15/0.37 (step @p16 :rule instantiate :premises (@p6) :args ((@list tptp.t_b))) % 0.15/0.37 (step @p17 :rule cnf_or_pos :args (@t29)) % 0.15/0.37 (step @p18 :rule reordering :premises (@p17) :args ((or @t28 @t27 (not @t29)))) % 0.15/0.37 (step @p19 :rule chain_m_resolution :premises (@p18 @p2 @p16) :args (@t27 @t30 (@list @t10 @t29))) % 0.15/0.37 (step @p20 :rule cnf_or_pos :args (@t34)) % 0.15/0.37 (step @p21 :rule reordering :premises (@p20) :args ((or @t33 @t32 (not @t34)))) % 0.15/0.37 (step @p22 :rule chain_m_resolution :premises (@p21 @p19 @p15) :args (@t32 @t30 (@list @t27 @t34))) % 0.15/0.37 (step @p23 :rule symm :premises (@p22)) % 0.15/0.37 (step @p24 :rule refl :args (tptp.t_b)) % 0.15/0.37 (step @p25 :rule instantiate :premises (@p3) :args ((@list tptp.t_b @t5 @t2))) % 0.15/0.37 (step @p26 :rule cnf_or_pos :args (@t37)) % 0.15/0.37 (step @p27 :rule reordering :premises (@p26) :args ((or @t33 @t36 (not @t37)))) % 0.15/0.37 (step @p28 :rule chain_m_resolution :premises (@p27 @p19 @p25) :args (@t36 @t30 (@list @t27 @t37))) % 0.15/0.37 (step @p29 :rule symm :premises (@p28)) % 0.15/0.37 (step @p30 :rule refl :args (tptp.v_ca)) % 0.15/0.37 (step @p31 :rule cong :premises (@p30 @p29 @p24) :args ((tptp.c_times tptp.v_ca @t35 tptp.t_b))) % 0.15/0.37 (step @p32 :rule instantiate :premises (@p4) :args ((@list tptp.t_b @t2 tptp.v_c @t4))) % 0.15/0.37 (step @p33 :rule cnf_or_pos :args (@t39)) % 0.15/0.37 (step @p34 :rule reordering :premises (@p33) :args ((or @t33 @t38 (not @t39)))) % 0.15/0.37 (step @p35 :rule chain_m_resolution :premises (@p34 @p19 @p32) :args (@t38 @t30 (@list @t27 @t39))) % 0.15/0.37 (step @p36 :rule symm :premises (@p35)) % 0.15/0.37 (step @p37 :rule cong :premises (@p30 @p36 @p24) :args (@t24)) % 0.15/0.37 (step @p38 :rule trans :premises (@p37 @p31 @p23)) % 0.15/0.37 (step @p39 :rule instantiate :premises (@p3) :args ((@list tptp.t_b @t8 @t7))) % 0.15/0.37 (step @p40 :rule cnf_or_pos :args (@t42)) % 0.15/0.37 (step @p41 :rule reordering :premises (@p40) :args ((or @t33 @t41 (not @t42)))) % 0.15/0.37 (step @p42 :rule chain_m_resolution :premises (@p41 @p19 @p39) :args (@t41 @t30 (@list @t27 @t42))) % 0.15/0.37 (step @p43 :rule symm :premises (@p42)) % 0.15/0.37 (step @p44 :rule instantiate :premises (@p4) :args ((@list tptp.t_b @t7 tptp.v_c tptp.v_ca))) % 0.15/0.37 (step @p45 :rule cnf_or_pos :args (@t45)) % 0.15/0.37 (step @p46 :rule reordering :premises (@p45) :args ((or @t33 @t44 (not @t45)))) % 0.15/0.37 (step @p47 :rule chain_m_resolution :premises (@p46 @p19 @p44) :args (@t44 @t30 (@list @t27 @t45))) % 0.15/0.37 (step @p48 :rule symm :premises (@p47)) % 0.15/0.37 (step @p49 :rule instantiate :premises (@p3) :args ((@list tptp.t_b @t7 tptp.v_ca))) % 0.15/0.37 (step @p50 :rule cnf_or_pos :args (@t47)) % 0.15/0.37 (step @p51 :rule reordering :premises (@p50) :args ((or @t33 @t46 (not @t47)))) % 0.15/0.37 (step @p52 :rule chain_m_resolution :premises (@p51 @p19 @p49) :args (@t46 @t30 (@list @t27 @t47))) % 0.15/0.37 (step @p53 :rule symm :premises (@p52)) % 0.15/0.37 (step @p54 :rule instantiate :premises (@p5) :args ((@list tptp.t_b @t3 @t1))) % 0.15/0.37 (step @p55 :rule cnf_or_pos :args (@t50)) % 0.15/0.37 (step @p56 :rule reordering :premises (@p55) :args ((or @t28 @t49 (not @t50)))) % 0.15/0.37 (step @p57 :rule chain_m_resolution :premises (@p56 @p2 @p54) :args (@t49 @t30 (@list @t10 @t50))) % 0.15/0.37 (step @p58 :rule symm :premises (@p57)) % 0.15/0.37 (step @p59 :rule instantiate :premises (@p3) :args ((@list tptp.t_b @t4 @t2))) % 0.15/0.37 (step @p60 :rule cnf_or_pos :args (@t52)) % 0.15/0.37 (step @p61 :rule reordering :premises (@p60) :args ((or @t33 @t51 (not @t52)))) % 0.15/0.37 (step @p62 :rule chain_m_resolution :premises (@p61 @p19 @p59) :args (@t51 @t30 (@list @t27 @t52))) % 0.15/0.37 (step @p63 :rule symm :premises (@p62)) % 0.15/0.37 (step @p64 :rule trans :premises (@p63 @p58)) % 0.15/0.37 (step @p65 :rule cong :premises (@p30 @p64 @p24) :args (@t21)) % 0.15/0.37 (step @p66 :rule trans :premises (@p65 @p53)) % 0.15/0.37 (step @p67 :rule refl :args (tptp.v_c)) % 0.15/0.37 (step @p68 :rule cong :premises (@p67 @p66 @p24) :args (@t22)) % 0.15/0.37 (step @p69 :rule trans :premises (@p68 @p48 @p43)) % 0.15/0.37 (step @p70 :rule cong :premises (@p69 @p38) :args (@t26)) % 0.15/0.37 (step @p71 :rule trans :premises (@p70 @p14)) % 0.15/0.37 (step @p72 :rule eq_resolve :premises (@p71 @p13)) % 0.15/0.37 (step @p73 :rule false_elim :premises (@p72)) % 0.15/0.37 (step @p74 :rule cnf_or_pos :args (@t53)) % 0.15/0.37 (step @p75 :rule reordering :premises (@p74) :args ((or @t33 @t25 @t54))) % 0.15/0.37 (step @p76 :rule chain_m_resolution :premises (@p75 @p19 @p73) :args (@t54 (@list false true) (@list @t27 @t25))) % 0.15/0.37 (assume-push @p83 @t18) % 0.15/0.37 (step @p78 :rule instantiate :premises (@p4) :args ((@list tptp.t_b tptp.v_ca tptp.v_c @t20))) % 0.15/0.37 (step-pop @p84 :rule scope :premises (@p78)) % 0.15/0.37 (step @p79 :rule process_scope :premises (@p84) :args (@t53)) % 0.15/0.37 (step @p81 :rule implies_elim :premises (@p79)) % 0.15/0.37 (step @p82 false :rule chain_m_resolution :premises (@p81 @p76 @p4) :args (false (@list true false) (@list @t53 @t18))) % 0.15/0.37 ) % 0.15/0.37 % SZS output end Proof % 0.15/0.37 % cvc5 exiting %------------------------------------------------------------------------------