%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA014-2 : 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 : n025.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 18.52s 18.76s % Output : Proof 18.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ANA014-2 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n025.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 02:17:46 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.01/16.26 --- Run --no-e-matching --full-saturate-quant at 6... % 18.52/18.76 % SZS status Unsatisfiable % 18.52/18.76 % SZS output start Proof % 18.52/18.77 ( % 18.52/18.77 (declare-sort $$unsorted 0) % 18.52/18.77 (declare-const tptp.class_Ring__and__Field_Ofield (-> $$unsorted Bool)) % 18.52/18.77 (declare-const tptp.c_HOL_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 18.52/18.77 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 18.52/18.77 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 18.52/18.77 (declare-const tptp.v_c $$unsorted) % 18.52/18.77 (declare-const tptp.c_0 $$unsorted) % 18.52/18.77 (declare-const tptp.t_a $$unsorted) % 18.52/18.77 (declare-const tptp.v_x (-> $$unsorted $$unsorted)) % 18.52/18.77 (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 18.52/18.77 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 18.52/18.77 (declare-const tptp.class_Ring__and__Field_Oordered__field (-> $$unsorted Bool)) % 18.52/18.77 (declare-const tptp.c_times (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 18.52/18.77 (declare-const tptp.class_OrderedGroup_Osemigroup__mult (-> $$unsorted Bool)) % 18.52/18.77 (declare-const tptp.c_1 $$unsorted) % 18.52/18.77 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 18.52/18.77 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 18.52/18.77 (define @t1 () (@var "V_U" $$unsorted)) % 18.52/18.77 (define @t2 () (tptp.c_HOL_Oabs (tptp.v_f (tptp.v_x @t1)) tptp.t_a)) % 18.52/18.77 (define @t3 () (tptp.c_HOL_Oabs tptp.v_c tptp.t_a)) % 18.52/18.77 (define @t4 () (tptp.class_Ring__and__Field_Oordered__field tptp.t_a)) % 18.52/18.77 (define @t5 () (@var "V_y" $$unsorted)) % 18.52/18.77 (define @t6 () (@var "T_a" $$unsorted)) % 18.52/18.77 (define @t7 () (tptp.c_times tptp.c_1 @t5 @t6)) % 18.52/18.77 (define @t8 () (not (tptp.class_OrderedGroup_Omonoid__mult @t6))) % 18.52/18.77 (define @t9 () (or @t8 (= @t7 @t5))) % 18.52/18.77 (define @t10 () (forall (@list @t6 @t5) @t9)) % 18.52/18.77 (define @t11 () (@var "V_c" $$unsorted)) % 18.52/18.77 (define @t12 () (@var "V_b" $$unsorted)) % 18.52/18.77 (define @t13 () (@var "V_a" $$unsorted)) % 18.52/18.77 (define @t14 () (tptp.c_times @t13 @t12 @t6)) % 18.52/18.77 (define @t15 () (forall (@list @t6 @t13 @t12 @t11) (or (not (tptp.class_OrderedGroup_Osemigroup__mult @t6)) (= (tptp.c_times @t14 @t11 @t6) (tptp.c_times @t13 (tptp.c_times @t12 @t11 @t6) @t6))))) % 18.52/18.77 (define @t16 () (@var "V_x" $$unsorted)) % 18.52/18.77 (define @t17 () (tptp.c_times (tptp.c_HOL_Oinverse @t13 @t6) @t13 @t6)) % 18.52/18.77 (define @t18 () (not (tptp.class_Ring__and__Field_Ofield @t6))) % 18.52/18.77 (define @t19 () (or @t18 (= @t13 tptp.c_0) (= @t17 tptp.c_1))) % 18.52/18.77 (define @t20 () (forall (@list @t6 @t13) @t19)) % 18.52/18.77 (define @t21 () (@var "T" $$unsorted)) % 18.52/18.77 (define @t22 () (tptp.class_Ring__and__Field_Ofield @t21)) % 18.52/18.77 (define @t23 () (not @t22)) % 18.52/18.77 (define @t24 () (@list @t21)) % 18.52/18.77 (define @t25 () (not (tptp.class_Ring__and__Field_Oordered__field @t21))) % 18.52/18.77 (define @t26 () (tptp.c_HOL_Oinverse tptp.v_c tptp.t_a)) % 18.52/18.77 (define @t27 () (tptp.c_HOL_Oabs @t26 tptp.t_a)) % 18.52/18.77 (define @t28 () (tptp.v_f (tptp.v_x @t27))) % 18.52/18.77 (define @t29 () (tptp.c_HOL_Oabs @t28 tptp.t_a)) % 18.52/18.77 (define @t30 () (tptp.c_times @t27 @t3 tptp.t_a)) % 18.52/18.77 (define @t31 () (tptp.c_times @t30 @t29 tptp.t_a)) % 18.52/18.77 (define @t32 () (tptp.c_times @t27 (tptp.c_times @t3 @t29 tptp.t_a) tptp.t_a)) % 18.52/18.77 (define @t33 () (tptp.class_OrderedGroup_Osemigroup__mult tptp.t_a)) % 18.52/18.77 (define @t34 () (not @t33)) % 18.52/18.77 (define @t35 () (or @t34 (= @t31 @t32))) % 18.52/18.77 (define @t36 () (= @t32 @t31)) % 18.52/18.77 (define @t37 () (or @t34 @t36)) % 18.52/18.77 (define @t38 () (@list tptp.t_a)) % 18.52/18.77 (define @t39 () (tptp.class_Ring__and__Field_Ofield tptp.t_a)) % 18.52/18.77 (define @t40 () (not @t4)) % 18.52/18.77 (define @t41 () (or @t40 @t39)) % 18.52/18.77 (define @t42 () (@list false false)) % 18.52/18.77 (define @t43 () (not @t39)) % 18.52/18.77 (define @t44 () (or @t43 @t33)) % 18.52/18.77 (define @t45 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_a)) % 18.52/18.77 (define @t46 () (or @t40 @t45)) % 18.52/18.77 (define @t47 () (tptp.c_times @t26 tptp.v_c tptp.t_a)) % 18.52/18.77 (define @t48 () (= (tptp.c_HOL_Oabs @t47 tptp.t_a) @t30)) % 18.52/18.77 (define @t49 () (not @t45)) % 18.52/18.77 (define @t50 () (or @t49 @t48)) % 18.52/18.77 (define @t51 () (= tptp.c_1 @t47)) % 18.52/18.77 (define @t52 () (= tptp.c_0 tptp.v_c)) % 18.52/18.77 (define @t53 () (or @t43 @t52 @t51)) % 18.52/18.77 (define @t54 () (tptp.class_OrderedGroup_Omonoid__mult tptp.t_a)) % 18.52/18.77 (define @t55 () (or @t43 @t54)) % 18.52/18.77 (define @t56 () (tptp.c_times tptp.c_1 tptp.c_1 tptp.t_a)) % 18.52/18.77 (define @t57 () (= tptp.c_1 @t56)) % 18.52/18.77 (define @t58 () (not @t54)) % 18.52/18.77 (define @t59 () (or @t58 @t57)) % 18.52/18.77 (define @t60 () (tptp.c_HOL_Oabs tptp.c_1 tptp.t_a)) % 18.52/18.77 (define @t61 () (tptp.c_times @t60 @t29 tptp.t_a)) % 18.52/18.77 (define @t62 () (tptp.c_times tptp.c_1 @t28 tptp.t_a)) % 18.52/18.77 (define @t63 () (= (tptp.c_HOL_Oabs @t62 tptp.t_a) @t61)) % 18.52/18.77 (define @t64 () (or @t49 @t63)) % 18.52/18.77 (define @t65 () (= @t28 @t62)) % 18.52/18.77 (define @t66 () (or @t58 @t65)) % 18.52/18.77 (define @t67 () (tptp.c_lessequals @t29 @t29 tptp.t_a)) % 18.52/18.77 (define @t68 () (tptp.class_Orderings_Oorder tptp.t_a)) % 18.52/18.77 (define @t69 () (or @t40 @t68)) % 18.52/18.77 (define @t70 () (not @t68)) % 18.52/18.77 (define @t71 () (or @t70 @t67)) % 18.52/18.77 (assume @p1 (not (= tptp.v_c tptp.c_0))) % 18.52/18.77 (assume @p2 (forall (@list @t1) (not (tptp.c_lessequals @t2 (tptp.c_times @t1 (tptp.c_times @t3 @t2 tptp.t_a) tptp.t_a) tptp.t_a)))) % 18.52/18.77 (assume @p3 @t4) % 18.52/18.77 (assume @p4 @t10) % 18.52/18.77 (assume @p5 @t15) % 18.52/18.77 (assume @p6 (forall (@list @t6 @t16) (or (not (tptp.class_Orderings_Oorder @t6)) (tptp.c_lessequals @t16 @t16 @t6)))) % 18.52/18.77 (assume @p7 (forall (@list @t6 @t13 @t12) (or (not (tptp.class_Ring__and__Field_Oordered__idom @t6)) (= (tptp.c_HOL_Oabs @t14 @t6) (tptp.c_times (tptp.c_HOL_Oabs @t13 @t6) (tptp.c_HOL_Oabs @t12 @t6) @t6))))) % 18.52/18.77 (assume @p8 @t20) % 18.52/18.77 (assume @p9 (forall @t24 (or @t23 (tptp.class_OrderedGroup_Omonoid__mult @t21)))) % 18.52/18.77 (assume @p10 (forall @t24 (or @t23 (tptp.class_OrderedGroup_Osemigroup__mult @t21)))) % 18.52/18.77 (assume @p11 (forall @t24 (or @t25 @t22))) % 18.52/18.77 (assume @p12 (forall @t24 (or @t25 (tptp.class_Ring__and__Field_Oordered__idom @t21)))) % 18.52/18.77 (assume @p13 (forall @t24 (or @t25 (tptp.class_Orderings_Oorder @t21)))) % 18.52/18.77 (step @p14 :rule evaluate :args ((= true false))) % 18.52/18.77 (step @p15 :rule instantiate :premises (@p2) :args ((@list @t27))) % 18.52/18.77 (step @p16 :rule false_intro :premises (@p15)) % 18.52/18.77 (step @p17 :rule refl :args (tptp.t_a)) % 18.52/18.77 (step @p18 :rule eq-symm :args (@t31 @t32)) % 18.52/18.77 (step @p19 :rule refl :args (@t34)) % 18.52/18.77 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t35)) % 18.52/18.77 (step @p21 :rule refl :args (@t15)) % 18.52/18.77 (step @p22 :rule cong :premises (@p21 @p20) :args ((=> @t15 @t35))) % 18.52/18.77 (assume-push @p104 @t15) % 18.52/18.77 (step @p24 :rule instantiate :premises (@p5) :args ((@list tptp.t_a @t27 @t3 @t29))) % 18.52/18.77 (step-pop @p105 :rule scope :premises (@p24)) % 18.52/18.77 (step @p25 :rule process_scope :premises (@p105) :args (@t35)) % 18.52/18.77 (step @p27 :rule eq_resolve :premises (@p25 @p22)) % 18.52/18.77 (step @p28 :rule implies_elim :premises (@p27)) % 18.52/18.77 (step @p29 :rule chain_m_resolution :premises (@p28 @p5) :args (@t37 (@list false) (@list @t15))) % 18.52/18.77 (step @p30 :rule instantiate :premises (@p10) :args (@t38)) % 18.52/18.77 (step @p31 :rule instantiate :premises (@p11) :args (@t38)) % 18.52/18.77 (step @p32 :rule cnf_or_pos :args (@t41)) % 18.52/18.77 (step @p33 :rule reordering :premises (@p32) :args ((or @t40 @t39 (not @t41)))) % 18.52/18.77 (step @p34 :rule chain_m_resolution :premises (@p33 @p3 @p31) :args (@t39 @t42 (@list @t4 @t41))) % 18.52/18.77 (step @p35 :rule cnf_or_pos :args (@t44)) % 18.52/18.77 (step @p36 :rule reordering :premises (@p35) :args ((or @t33 @t43 (not @t44)))) % 18.52/18.77 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p30) :args (@t33 @t42 (@list @t39 @t44))) % 18.52/18.77 (step @p38 :rule cnf_or_pos :args (@t37)) % 18.52/18.77 (step @p39 :rule reordering :premises (@p38) :args ((or @t34 @t36 (not @t37)))) % 18.52/18.77 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p29) :args (@t36 @t42 (@list @t33 @t37))) % 18.52/18.77 (step @p41 :rule symm :premises (@p40)) % 18.52/18.77 (step @p42 :rule refl :args (@t29)) % 18.52/18.77 (step @p43 :rule instantiate :premises (@p7) :args ((@list tptp.t_a @t26 tptp.v_c))) % 18.52/18.77 (step @p44 :rule instantiate :premises (@p12) :args (@t38)) % 18.52/18.77 (step @p45 :rule cnf_or_pos :args (@t46)) % 18.52/18.77 (step @p46 :rule reordering :premises (@p45) :args ((or @t40 @t45 (not @t46)))) % 18.52/18.77 (step @p47 :rule chain_m_resolution :premises (@p46 @p3 @p44) :args (@t45 @t42 (@list @t4 @t46))) % 18.52/18.77 (step @p48 :rule cnf_or_pos :args (@t50)) % 18.52/18.77 (step @p49 :rule reordering :premises (@p48) :args ((or @t49 @t48 (not @t50)))) % 18.52/18.77 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p43) :args (@t48 @t42 (@list @t45 @t50))) % 18.52/18.77 (step @p51 :rule eq-symm :args (@t17 tptp.c_1)) % 18.52/18.77 (step @p52 :rule eq-symm :args (@t13 tptp.c_0)) % 18.52/18.77 (step @p53 :rule refl :args (@t18)) % 18.52/18.77 (step @p54 :rule nary_cong :premises (@p53 @p52 @p51) :args (@t19)) % 18.52/18.77 (step @p55 :rule cong :premises (@p54) :args (@t20)) % 18.52/18.77 (step @p56 :rule eq_resolve :premises (@p8 @p55)) % 18.52/18.77 (step @p57 :rule instantiate :premises (@p56) :args ((@list tptp.t_a tptp.v_c))) % 18.52/18.77 (step @p58 :rule symm :premises (@p1)) % 18.52/18.77 (step @p59 :rule cnf_or_pos :args (@t53)) % 18.52/18.77 (step @p60 :rule reordering :premises (@p59) :args ((or @t52 @t43 @t51 (not @t53)))) % 18.52/18.77 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p34 @p57) :args (@t51 (@list true false false) (@list @t52 @t39 @t53))) % 18.52/18.77 (step @p62 :rule eq-symm :args (@t7 @t5)) % 18.52/18.77 (step @p63 :rule refl :args (@t8)) % 18.52/18.77 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t9)) % 18.52/18.77 (step @p65 :rule cong :premises (@p64) :args (@t10)) % 18.52/18.77 (step @p66 :rule eq_resolve :premises (@p4 @p65)) % 18.52/18.77 (step @p67 :rule instantiate :premises (@p66) :args ((@list tptp.t_a tptp.c_1))) % 18.52/18.77 (step @p68 :rule instantiate :premises (@p9) :args (@t38)) % 18.52/18.77 (step @p69 :rule cnf_or_pos :args (@t55)) % 18.52/18.77 (step @p70 :rule reordering :premises (@p69) :args ((or @t54 @t43 (not @t55)))) % 18.52/18.77 (step @p71 :rule chain_m_resolution :premises (@p70 @p34 @p68) :args (@t54 @t42 (@list @t39 @t55))) % 18.52/18.77 (step @p72 :rule cnf_or_pos :args (@t59)) % 18.52/18.77 (step @p73 :rule reordering :premises (@p72) :args ((or @t58 @t57 (not @t59)))) % 18.52/18.77 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p67) :args (@t57 @t42 (@list @t54 @t59))) % 18.52/18.77 (step @p75 :rule symm :premises (@p74)) % 18.52/18.77 (step @p76 :rule trans :premises (@p75 @p61)) % 18.52/18.77 (step @p77 :rule cong :premises (@p76 @p17) :args ((tptp.c_HOL_Oabs @t56 tptp.t_a))) % 18.52/18.77 (step @p78 :rule cong :premises (@p74 @p17) :args (@t60)) % 18.52/18.77 (step @p79 :rule trans :premises (@p78 @p77 @p50)) % 18.52/18.77 (step @p80 :rule cong :premises (@p79 @p42 @p17) :args (@t61)) % 18.52/18.77 (step @p81 :rule instantiate :premises (@p7) :args ((@list tptp.t_a tptp.c_1 @t28))) % 18.52/18.77 (step @p82 :rule cnf_or_pos :args (@t64)) % 18.52/18.77 (step @p83 :rule reordering :premises (@p82) :args ((or @t49 @t63 (not @t64)))) % 18.52/18.77 (step @p84 :rule chain_m_resolution :premises (@p83 @p47 @p81) :args (@t63 @t42 (@list @t45 @t64))) % 18.52/18.77 (step @p85 :rule instantiate :premises (@p66) :args ((@list tptp.t_a @t28))) % 18.52/18.77 (step @p86 :rule cnf_or_pos :args (@t66)) % 18.52/18.77 (step @p87 :rule reordering :premises (@p86) :args ((or @t58 @t65 (not @t66)))) % 18.52/18.77 (step @p88 :rule chain_m_resolution :premises (@p87 @p71 @p85) :args (@t65 @t42 (@list @t54 @t66))) % 18.52/18.77 (step @p89 :rule cong :premises (@p88 @p17) :args (@t29)) % 18.52/18.77 (step @p90 :rule trans :premises (@p89 @p84 @p80 @p41)) % 18.52/18.77 (step @p91 :rule cong :premises (@p42 @p90 @p17) :args (@t67)) % 18.52/18.77 (step @p92 :rule instantiate :premises (@p6) :args ((@list tptp.t_a @t29))) % 18.52/18.77 (step @p93 :rule instantiate :premises (@p13) :args (@t38)) % 18.52/18.77 (step @p94 :rule cnf_or_pos :args (@t69)) % 18.52/18.77 (step @p95 :rule reordering :premises (@p94) :args ((or @t40 @t68 (not @t69)))) % 18.52/18.77 (step @p96 :rule chain_m_resolution :premises (@p95 @p3 @p93) :args (@t68 @t42 (@list @t4 @t69))) % 18.52/18.77 (step @p97 :rule cnf_or_pos :args (@t71)) % 18.52/18.77 (step @p98 :rule reordering :premises (@p97) :args ((or @t70 @t67 (not @t71)))) % 18.52/18.77 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p92) :args (@t67 @t42 (@list @t68 @t71))) % 18.52/18.77 (step @p100 :rule true_intro :premises (@p99)) % 18.52/18.77 (step @p101 :rule symm :premises (@p100)) % 18.52/18.77 (step @p102 :rule trans :premises (@p101 @p91 @p16)) % 18.52/18.77 (step @p103 false :rule eq_resolve :premises (@p102 @p14)) % 18.52/18.77 ) % 18.52/18.77 % SZS output end Proof % 18.52/18.77 % cvc5 exiting %------------------------------------------------------------------------------