%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA016-2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:06:32 AM UTC 2026 % Result : Unsatisfiable 0.27s 0.55s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ANA016-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.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 02:17:40 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.27/0.55 % SZS status Unsatisfiable % 0.27/0.55 % SZS output start Proof % 0.35/0.56 ( % 0.35/0.56 (declare-sort $$unsorted 0) % 0.35/0.56 (declare-const tptp.class_Ring__and__Field_Ofield (-> $$unsorted Bool)) % 0.35/0.56 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 0.35/0.56 (declare-const tptp.c_times (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.56 (declare-const tptp.c_1 $$unsorted) % 0.35/0.56 (declare-const tptp.v_g (-> $$unsorted $$unsorted)) % 0.35/0.56 (declare-const tptp.v_x $$unsorted) % 0.35/0.56 (declare-const tptp.t_a $$unsorted) % 0.35/0.56 (declare-const tptp.class_OrderedGroup_Osemigroup__mult (-> $$unsorted Bool)) % 0.35/0.56 (declare-const tptp.c_HOL_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.56 (declare-const tptp.v_c $$unsorted) % 0.35/0.56 (declare-const tptp.class_Ring__and__Field_Oordered__field (-> $$unsorted Bool)) % 0.35/0.56 (declare-const tptp.c_0 $$unsorted) % 0.35/0.56 (define @t1 () (tptp.v_g tptp.v_x)) % 0.35/0.56 (define @t2 () (tptp.c_HOL_Oinverse tptp.v_c tptp.t_a)) % 0.35/0.56 (define @t3 () (tptp.c_times tptp.v_c (tptp.c_times @t2 @t1 tptp.t_a) tptp.t_a)) % 0.35/0.56 (define @t4 () (= @t1 @t3)) % 0.35/0.56 (define @t5 () (tptp.class_Ring__and__Field_Oordered__field tptp.t_a)) % 0.35/0.56 (define @t6 () (@var "V_y" $$unsorted)) % 0.35/0.56 (define @t7 () (@var "T_a" $$unsorted)) % 0.35/0.56 (define @t8 () (tptp.c_times tptp.c_1 @t6 @t7)) % 0.35/0.56 (define @t9 () (not (tptp.class_OrderedGroup_Omonoid__mult @t7))) % 0.35/0.56 (define @t10 () (or @t9 (= @t8 @t6))) % 0.35/0.56 (define @t11 () (forall (@list @t7 @t6) @t10)) % 0.35/0.56 (define @t12 () (@var "V_c" $$unsorted)) % 0.35/0.56 (define @t13 () (@var "V_b" $$unsorted)) % 0.35/0.56 (define @t14 () (@var "V_a" $$unsorted)) % 0.35/0.56 (define @t15 () (forall (@list @t7 @t14 @t13 @t12) (or (not (tptp.class_OrderedGroup_Osemigroup__mult @t7)) (= (tptp.c_times (tptp.c_times @t14 @t13 @t7) @t12 @t7) (tptp.c_times @t14 (tptp.c_times @t13 @t12 @t7) @t7))))) % 0.35/0.56 (define @t16 () (tptp.c_times @t14 (tptp.c_HOL_Oinverse @t14 @t7) @t7)) % 0.35/0.56 (define @t17 () (not (tptp.class_Ring__and__Field_Ofield @t7))) % 0.35/0.56 (define @t18 () (or @t17 (= @t14 tptp.c_0) (= @t16 tptp.c_1))) % 0.35/0.56 (define @t19 () (forall (@list @t7 @t14) @t18)) % 0.35/0.56 (define @t20 () (@var "T" $$unsorted)) % 0.35/0.56 (define @t21 () (tptp.class_Ring__and__Field_Ofield @t20)) % 0.35/0.56 (define @t22 () (not @t21)) % 0.35/0.56 (define @t23 () (@list @t20)) % 0.35/0.56 (define @t24 () (@list tptp.t_a)) % 0.35/0.56 (define @t25 () (tptp.class_Ring__and__Field_Ofield tptp.t_a)) % 0.35/0.56 (define @t26 () (not @t5)) % 0.35/0.56 (define @t27 () (or @t26 @t25)) % 0.35/0.56 (define @t28 () (@list false false)) % 0.35/0.56 (define @t29 () (tptp.c_times tptp.v_c @t2 tptp.t_a)) % 0.35/0.56 (define @t30 () (= tptp.c_1 @t29)) % 0.35/0.56 (define @t31 () (= tptp.c_0 tptp.v_c)) % 0.35/0.56 (define @t32 () (not @t25)) % 0.35/0.56 (define @t33 () (or @t32 @t31 @t30)) % 0.35/0.56 (define @t34 () (tptp.class_OrderedGroup_Omonoid__mult tptp.t_a)) % 0.35/0.56 (define @t35 () (or @t32 @t34)) % 0.35/0.56 (define @t36 () (tptp.c_times tptp.c_1 @t1 tptp.t_a)) % 0.35/0.56 (define @t37 () (= @t1 @t36)) % 0.35/0.56 (define @t38 () (not @t34)) % 0.35/0.56 (define @t39 () (or @t38 @t37)) % 0.35/0.56 (define @t40 () (tptp.c_times @t29 @t1 tptp.t_a)) % 0.35/0.56 (define @t41 () (tptp.class_OrderedGroup_Osemigroup__mult tptp.t_a)) % 0.35/0.56 (define @t42 () (not @t41)) % 0.35/0.56 (define @t43 () (or @t42 (= @t40 @t3))) % 0.35/0.56 (define @t44 () (= @t3 @t40)) % 0.35/0.56 (define @t45 () (or @t42 @t44)) % 0.35/0.56 (define @t46 () (or @t32 @t41)) % 0.35/0.56 (define @t47 () (and @t44 @t30 @t37)) % 0.35/0.56 (assume @p1 (not (= tptp.v_c tptp.c_0))) % 0.35/0.56 (assume @p2 (not @t4)) % 0.35/0.56 (assume @p3 @t5) % 0.35/0.56 (assume @p4 @t11) % 0.35/0.56 (assume @p5 @t15) % 0.35/0.56 (assume @p6 @t19) % 0.35/0.56 (assume @p7 (forall @t23 (or @t22 (tptp.class_OrderedGroup_Omonoid__mult @t20)))) % 0.35/0.56 (assume @p8 (forall @t23 (or @t22 (tptp.class_OrderedGroup_Osemigroup__mult @t20)))) % 0.35/0.56 (assume @p9 (forall @t23 (or (not (tptp.class_Ring__and__Field_Oordered__field @t20)) @t21))) % 0.35/0.56 (step @p10 :rule eq-symm :args (@t16 tptp.c_1)) % 0.35/0.56 (step @p11 :rule eq-symm :args (@t14 tptp.c_0)) % 0.35/0.56 (step @p12 :rule refl :args (@t17)) % 0.35/0.56 (step @p13 :rule nary_cong :premises (@p12 @p11 @p10) :args (@t18)) % 0.35/0.56 (step @p14 :rule cong :premises (@p13) :args (@t19)) % 0.35/0.56 (step @p15 :rule eq_resolve :premises (@p6 @p14)) % 0.35/0.56 (step @p16 :rule instantiate :premises (@p15) :args ((@list tptp.t_a tptp.v_c))) % 0.35/0.56 (step @p17 :rule instantiate :premises (@p9) :args (@t24)) % 0.35/0.56 (step @p18 :rule cnf_or_pos :args (@t27)) % 0.35/0.56 (step @p19 :rule reordering :premises (@p18) :args ((or @t26 @t25 (not @t27)))) % 0.35/0.56 (step @p20 :rule chain_m_resolution :premises (@p19 @p3 @p17) :args (@t25 @t28 (@list @t5 @t27))) % 0.35/0.56 (step @p21 :rule symm :premises (@p1)) % 0.35/0.56 (step @p22 :rule cnf_or_pos :args (@t33)) % 0.35/0.56 (step @p23 :rule reordering :premises (@p22) :args ((or @t31 @t32 @t30 (not @t33)))) % 0.35/0.56 (step @p24 :rule chain_m_resolution :premises (@p23 @p21 @p20 @p16) :args (@t30 (@list true false false) (@list @t31 @t25 @t33))) % 0.35/0.56 (step @p25 :rule eq-symm :args (@t8 @t6)) % 0.35/0.56 (step @p26 :rule refl :args (@t9)) % 0.35/0.56 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t10)) % 0.35/0.56 (step @p28 :rule cong :premises (@p27) :args (@t11)) % 0.35/0.56 (step @p29 :rule eq_resolve :premises (@p4 @p28)) % 0.35/0.56 (step @p30 :rule instantiate :premises (@p29) :args ((@list tptp.t_a @t1))) % 0.35/0.56 (step @p31 :rule instantiate :premises (@p7) :args (@t24)) % 0.35/0.56 (step @p32 :rule cnf_or_pos :args (@t35)) % 0.35/0.56 (step @p33 :rule reordering :premises (@p32) :args ((or @t32 @t34 (not @t35)))) % 0.35/0.56 (step @p34 :rule chain_m_resolution :premises (@p33 @p20 @p31) :args (@t34 @t28 (@list @t25 @t35))) % 0.35/0.56 (step @p35 :rule cnf_or_pos :args (@t39)) % 0.35/0.56 (step @p36 :rule reordering :premises (@p35) :args ((or @t38 @t37 (not @t39)))) % 0.35/0.56 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p30) :args (@t37 @t28 (@list @t34 @t39))) % 0.35/0.56 (step @p38 :rule eq-symm :args (@t40 @t3)) % 0.35/0.56 (step @p39 :rule refl :args (@t42)) % 0.35/0.56 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t43)) % 0.35/0.56 (step @p41 :rule refl :args (@t15)) % 0.35/0.56 (step @p42 :rule cong :premises (@p41 @p40) :args ((=> @t15 @t43))) % 0.35/0.56 (assume-push @p74 @t15) % 0.35/0.56 (step @p44 :rule instantiate :premises (@p5) :args ((@list tptp.t_a tptp.v_c @t2 @t1))) % 0.35/0.56 (step-pop @p75 :rule scope :premises (@p44)) % 0.35/0.56 (step @p45 :rule process_scope :premises (@p75) :args (@t43)) % 0.35/0.56 (step @p47 :rule eq_resolve :premises (@p45 @p42)) % 0.35/0.56 (step @p48 :rule implies_elim :premises (@p47)) % 0.35/0.56 (step @p49 :rule chain_m_resolution :premises (@p48 @p5) :args (@t45 (@list false) (@list @t15))) % 0.35/0.56 (step @p50 :rule instantiate :premises (@p8) :args (@t24)) % 0.35/0.56 (step @p51 :rule cnf_or_pos :args (@t46)) % 0.35/0.56 (step @p52 :rule reordering :premises (@p51) :args ((or @t41 @t32 (not @t46)))) % 0.35/0.56 (step @p53 :rule chain_m_resolution :premises (@p52 @p20 @p50) :args (@t41 @t28 (@list @t25 @t46))) % 0.35/0.56 (step @p54 :rule cnf_or_pos :args (@t45)) % 0.35/0.56 (step @p55 :rule reordering :premises (@p54) :args ((or @t42 @t44 (not @t45)))) % 0.35/0.56 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p49) :args (@t44 @t28 (@list @t41 @t45))) % 0.35/0.56 (assume-push @p76 @t44) % 0.35/0.56 (assume-push @p77 @t30) % 0.35/0.56 (assume-push @p78 @t37) % 0.35/0.56 (step @p60 :rule symm :premises (@p56)) % 0.35/0.56 (step @p61 :rule refl :args (tptp.t_a)) % 0.35/0.56 (step @p62 :rule refl :args (@t1)) % 0.35/0.56 (step @p63 :rule cong :premises (@p24 @p62 @p61) :args (@t36)) % 0.35/0.56 (step @p64 :rule trans :premises (@p37 @p63 @p60)) % 0.35/0.56 (step-pop @p79 :rule scope :premises (@p64)) % 0.35/0.56 (step-pop @p80 :rule scope :premises (@p79)) % 0.35/0.56 (step-pop @p81 :rule scope :premises (@p80)) % 0.35/0.56 (step @p65 :rule process_scope :premises (@p81) :args (@t4)) % 0.35/0.56 (step @p69 :rule implies_elim :premises (@p65)) % 0.35/0.56 (step @p70 :rule cnf_and_neg :args (@t47)) % 0.35/0.56 (step @p71 :rule resolution :premises (@p70 @p69) :args (true @t47)) % 0.35/0.56 (step @p72 :rule reordering :premises (@p71) :args ((or @t4 (not @t44) (not @t30) (not @t37)))) % 0.35/0.56 (step @p73 false :rule chain_m_resolution :premises (@p72 @p56 @p37 @p24 @p2) :args (false (@list false false false true) (@list @t44 @t37 @t30 @t4))) % 0.35/0.56 ) % 0.35/0.56 % SZS output end Proof % 0.35/0.56 % cvc5 exiting %------------------------------------------------------------------------------