%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA028-2 : 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 : n029.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 08:06:35 AM UTC 2026 % Result : Unsatisfiable 2.85s 3.05s % Output : Proof 2.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ANA028-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n029.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 02:19:32 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.85/3.05 % SZS status Unsatisfiable % 2.85/3.05 % SZS output start Proof % 2.85/3.06 ( % 2.85/3.06 (declare-sort $$unsorted 0) % 2.85/3.06 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 2.85/3.06 (declare-const tptp.v_x $$unsorted) % 2.85/3.06 (declare-const tptp.v_g (-> $$unsorted $$unsorted)) % 2.85/3.06 (declare-const tptp.v_k (-> $$unsorted $$unsorted)) % 2.85/3.06 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.85/3.06 (declare-const tptp.t_b $$unsorted) % 2.85/3.06 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 2.85/3.06 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 2.85/3.06 (declare-const tptp.c_minus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.85/3.06 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 2.85/3.06 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 2.85/3.06 (declare-const tptp.c_plus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.85/3.06 (declare-const tptp.c_0 $$unsorted) % 2.85/3.06 (define @t1 () (@var "V_y" $$unsorted)) % 2.85/3.06 (define @t2 () (@var "T_a" $$unsorted)) % 2.85/3.06 (define @t3 () (tptp.c_plus tptp.c_0 @t1 @t2)) % 2.85/3.06 (define @t4 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t2))) % 2.85/3.06 (define @t5 () (or @t4 (= @t3 @t1))) % 2.85/3.06 (define @t6 () (forall (@list @t2 @t1) @t5)) % 2.85/3.06 (define @t7 () (@var "V_c" $$unsorted)) % 2.85/3.06 (define @t8 () (@var "V_b" $$unsorted)) % 2.85/3.06 (define @t9 () (@var "V_a" $$unsorted)) % 2.85/3.06 (define @t10 () (tptp.c_plus @t9 @t8 @t2)) % 2.85/3.06 (define @t11 () (tptp.c_minus @t8 @t7 @t2)) % 2.85/3.06 (define @t12 () (not (tptp.class_OrderedGroup_Oab__group__add @t2))) % 2.85/3.06 (define @t13 () (@list @t2 @t9 @t8 @t7)) % 2.85/3.06 (define @t14 () (forall @t13 (or @t12 (= (tptp.c_plus @t9 @t11 @t2) (tptp.c_minus @t10 @t7 @t2))))) % 2.85/3.06 (define @t15 () (tptp.c_minus (tptp.c_plus @t9 @t7 @t2) @t8 @t2)) % 2.85/3.06 (define @t16 () (tptp.c_minus @t9 @t8 @t2)) % 2.85/3.06 (define @t17 () (forall @t13 (or @t12 (= (tptp.c_plus @t16 @t7 @t2) @t15)))) % 2.85/3.06 (define @t18 () (tptp.c_minus @t9 @t11 @t2)) % 2.85/3.06 (define @t19 () (or @t12 (= @t18 @t15))) % 2.85/3.06 (define @t20 () (forall @t13 @t19)) % 2.85/3.06 (define @t21 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t2))) % 2.85/3.06 (define @t22 () (tptp.c_minus @t9 @t9 @t2)) % 2.85/3.06 (define @t23 () (or @t12 (= @t22 tptp.c_0))) % 2.85/3.06 (define @t24 () (forall (@list @t2 @t9) @t23)) % 2.85/3.06 (define @t25 () (@var "V_U" $$unsorted)) % 2.85/3.06 (define @t26 () (tptp.v_g tptp.v_x)) % 2.85/3.06 (define @t27 () (tptp.v_f tptp.v_x)) % 2.85/3.06 (define @t28 () (tptp.c_minus @t27 @t26 tptp.t_b)) % 2.85/3.06 (define @t29 () (tptp.v_k tptp.v_x)) % 2.85/3.06 (define @t30 () (tptp.c_lessequals (tptp.c_minus @t27 @t29 tptp.t_b) @t28 tptp.t_b)) % 2.85/3.06 (define @t31 () (@var "T" $$unsorted)) % 2.85/3.06 (define @t32 () (not (tptp.class_Ring__and__Field_Oordered__idom @t31))) % 2.85/3.06 (define @t33 () (@list @t31)) % 2.85/3.06 (define @t34 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) % 2.85/3.06 (define @t35 () (@list tptp.t_b)) % 2.85/3.06 (define @t36 () (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) % 2.85/3.06 (define @t37 () (not @t34)) % 2.85/3.06 (define @t38 () (or @t37 @t36)) % 2.85/3.06 (define @t39 () (@list false false)) % 2.85/3.06 (define @t40 () (tptp.c_plus @t28 @t29 tptp.t_b)) % 2.85/3.06 (define @t41 () (not (tptp.c_lessequals @t27 @t40 tptp.t_b))) % 2.85/3.06 (define @t42 () (not @t36)) % 2.85/3.06 (define @t43 () (or @t42 @t41 @t30)) % 2.85/3.06 (define @t44 () (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) % 2.85/3.06 (define @t45 () (or @t37 @t44)) % 2.85/3.06 (define @t46 () (tptp.c_plus @t27 @t29 tptp.t_b)) % 2.85/3.06 (define @t47 () (= @t40 (tptp.c_minus @t46 @t26 tptp.t_b))) % 2.85/3.06 (define @t48 () (not @t44)) % 2.85/3.06 (define @t49 () (or @t48 @t47)) % 2.85/3.06 (define @t50 () (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) % 2.85/3.06 (define @t51 () (or @t37 @t50)) % 2.85/3.06 (define @t52 () (= @t26 (tptp.c_plus tptp.c_0 @t26 tptp.t_b))) % 2.85/3.06 (define @t53 () (not @t50)) % 2.85/3.06 (define @t54 () (or @t53 @t52)) % 2.85/3.06 (define @t55 () (tptp.c_minus @t27 @t27 tptp.t_b)) % 2.85/3.06 (define @t56 () (= tptp.c_0 @t55)) % 2.85/3.06 (define @t57 () (or @t48 @t56)) % 2.85/3.06 (define @t58 () (tptp.c_plus @t55 @t26 tptp.t_b)) % 2.85/3.06 (define @t59 () (tptp.c_minus (tptp.c_plus @t27 @t26 tptp.t_b) @t27 tptp.t_b)) % 2.85/3.06 (define @t60 () (or @t48 (= @t58 @t59))) % 2.85/3.06 (define @t61 () (= @t59 @t58)) % 2.85/3.06 (define @t62 () (or @t48 @t61)) % 2.85/3.06 (define @t63 () (@list false)) % 2.85/3.06 (define @t64 () (@list @t17)) % 2.85/3.06 (define @t65 () (tptp.c_minus @t26 @t27 tptp.t_b)) % 2.85/3.06 (define @t66 () (tptp.c_plus @t27 @t65 tptp.t_b)) % 2.85/3.06 (define @t67 () (or @t48 (= @t66 @t59))) % 2.85/3.06 (define @t68 () (= @t59 @t66)) % 2.85/3.06 (define @t69 () (or @t48 @t68)) % 2.85/3.06 (define @t70 () (@list @t14)) % 2.85/3.06 (define @t71 () (tptp.c_minus @t46 @t66 tptp.t_b)) % 2.85/3.06 (define @t72 () (tptp.c_minus @t66 @t29 tptp.t_b)) % 2.85/3.06 (define @t73 () (= @t71 (tptp.c_minus @t27 @t72 tptp.t_b))) % 2.85/3.06 (define @t74 () (or @t48 @t73)) % 2.85/3.06 (define @t75 () (tptp.c_minus @t58 @t29 tptp.t_b)) % 2.85/3.06 (define @t76 () (tptp.c_minus @t55 (tptp.c_minus @t29 @t26 tptp.t_b) tptp.t_b)) % 2.85/3.06 (define @t77 () (= @t75 @t76)) % 2.85/3.06 (define @t78 () (or @t48 @t77)) % 2.85/3.06 (define @t79 () (tptp.c_minus @t29 @t65 tptp.t_b)) % 2.85/3.06 (define @t80 () (tptp.c_minus @t27 @t79 tptp.t_b)) % 2.85/3.06 (define @t81 () (= @t72 @t80)) % 2.85/3.06 (define @t82 () (or @t48 @t81)) % 2.85/3.06 (define @t83 () (tptp.c_minus @t27 @t80 tptp.t_b)) % 2.85/3.06 (define @t84 () (@list tptp.t_b @t27 @t27 @t79)) % 2.85/3.06 (define @t85 () (tptp.c_minus (tptp.c_plus @t27 @t79 tptp.t_b) @t27 tptp.t_b)) % 2.85/3.06 (define @t86 () (= @t85 @t83)) % 2.85/3.06 (define @t87 () (or @t48 @t86)) % 2.85/3.06 (define @t88 () (tptp.c_plus @t55 @t79 tptp.t_b)) % 2.85/3.06 (define @t89 () (= @t88 @t85)) % 2.85/3.06 (define @t90 () (or @t48 @t89)) % 2.85/3.06 (define @t91 () (tptp.c_plus @t55 @t29 tptp.t_b)) % 2.85/3.06 (define @t92 () (= @t88 (tptp.c_minus @t91 @t65 tptp.t_b))) % 2.85/3.06 (define @t93 () (or @t48 @t92)) % 2.85/3.06 (define @t94 () (tptp.c_minus @t46 @t27 tptp.t_b)) % 2.85/3.06 (define @t95 () (or @t48 (= @t91 @t94))) % 2.85/3.06 (define @t96 () (= @t94 @t91)) % 2.85/3.06 (define @t97 () (or @t48 @t96)) % 2.85/3.06 (define @t98 () (tptp.c_plus @t27 (tptp.c_minus @t29 @t27 tptp.t_b) tptp.t_b)) % 2.85/3.06 (define @t99 () (or @t48 (= @t98 @t94))) % 2.85/3.06 (define @t100 () (= @t94 @t98)) % 2.85/3.06 (define @t101 () (or @t48 @t100)) % 2.85/3.06 (define @t102 () (tptp.c_plus tptp.c_0 @t29 tptp.t_b)) % 2.85/3.06 (define @t103 () (= @t29 @t102)) % 2.85/3.06 (define @t104 () (or @t53 @t103)) % 2.85/3.06 (define @t105 () (tptp.c_lessequals @t27 @t79 tptp.t_b)) % 2.85/3.06 (define @t106 () (tptp.c_lessequals @t66 @t29 tptp.t_b)) % 2.85/3.06 (define @t107 () (not @t106)) % 2.85/3.06 (define @t108 () (or @t42 @t107 @t105)) % 2.85/3.06 (assume @p1 @t6) % 2.85/3.06 (assume @p2 @t14) % 2.85/3.06 (assume @p3 @t17) % 2.85/3.06 (assume @p4 @t20) % 2.85/3.06 (assume @p5 (forall (@list @t2 @t9 @t7 @t8) (or @t21 (not (tptp.c_lessequals @t9 (tptp.c_plus @t7 @t8 @t2) @t2)) (tptp.c_lessequals @t16 @t7 @t2)))) % 2.85/3.06 (assume @p6 (forall @t13 (or @t21 (not (tptp.c_lessequals @t10 @t7 @t2)) (tptp.c_lessequals @t9 (tptp.c_minus @t7 @t8 @t2) @t2)))) % 2.85/3.06 (assume @p7 @t24) % 2.85/3.06 (assume @p8 (forall (@list @t25) (tptp.c_lessequals (tptp.v_g @t25) (tptp.v_k @t25) tptp.t_b))) % 2.85/3.06 (assume @p9 (not @t30)) % 2.85/3.06 (assume @p10 (forall @t33 (or @t32 (tptp.class_OrderedGroup_Ocomm__monoid__add @t31)))) % 2.85/3.06 (assume @p11 (forall @t33 (or @t32 (tptp.class_OrderedGroup_Oab__group__add @t31)))) % 2.85/3.06 (assume @p12 (forall @t33 (or @t32 (tptp.class_OrderedGroup_Opordered__ab__group__add @t31)))) % 2.85/3.06 (assume @p13 @t34) % 2.85/3.06 (step @p14 :rule evaluate :args ((= true false))) % 2.85/3.06 (step @p15 :rule instantiate :premises (@p5) :args ((@list tptp.t_b @t27 @t28 @t29))) % 2.85/3.06 (step @p16 :rule instantiate :premises (@p12) :args (@t35)) % 2.85/3.06 (step @p17 :rule cnf_or_pos :args (@t38)) % 2.85/3.06 (step @p18 :rule reordering :premises (@p17) :args ((or @t37 @t36 (not @t38)))) % 2.85/3.06 (step @p19 :rule chain_m_resolution :premises (@p18 @p13 @p16) :args (@t36 @t39 (@list @t34 @t38))) % 2.85/3.06 (step @p20 :rule cnf_or_pos :args (@t43)) % 2.85/3.06 (step @p21 :rule reordering :premises (@p20) :args ((or @t30 @t42 @t41 (not @t43)))) % 2.85/3.06 (step @p22 :rule chain_m_resolution :premises (@p21 @p9 @p19 @p15) :args (@t41 (@list true false false) (@list @t30 @t36 @t43))) % 2.85/3.06 (step @p23 :rule false_intro :premises (@p22)) % 2.85/3.06 (step @p24 :rule refl :args (tptp.t_b)) % 2.85/3.06 (step @p25 :rule instantiate :premises (@p3) :args ((@list tptp.t_b @t27 @t26 @t29))) % 2.85/3.06 (step @p26 :rule instantiate :premises (@p11) :args (@t35)) % 2.85/3.06 (step @p27 :rule cnf_or_pos :args (@t45)) % 2.85/3.06 (step @p28 :rule reordering :premises (@p27) :args ((or @t37 @t44 (not @t45)))) % 2.85/3.06 (step @p29 :rule chain_m_resolution :premises (@p28 @p13 @p26) :args (@t44 @t39 (@list @t34 @t45))) % 2.85/3.06 (step @p30 :rule cnf_or_pos :args (@t49)) % 2.85/3.06 (step @p31 :rule reordering :premises (@p30) :args ((or @t48 @t47 (not @t49)))) % 2.85/3.06 (step @p32 :rule chain_m_resolution :premises (@p31 @p29 @p25) :args (@t47 @t39 (@list @t44 @t49))) % 2.85/3.06 (step @p33 :rule symm :premises (@p32)) % 2.85/3.06 (step @p34 :rule eq-symm :args (@t3 @t1)) % 2.85/3.06 (step @p35 :rule refl :args (@t4)) % 2.85/3.06 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t5)) % 2.85/3.06 (step @p37 :rule cong :premises (@p36) :args (@t6)) % 2.85/3.06 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 2.85/3.06 (step @p39 :rule instantiate :premises (@p38) :args ((@list tptp.t_b @t26))) % 2.85/3.06 (step @p40 :rule instantiate :premises (@p10) :args (@t35)) % 2.85/3.06 (step @p41 :rule cnf_or_pos :args (@t51)) % 2.85/3.06 (step @p42 :rule reordering :premises (@p41) :args ((or @t37 @t50 (not @t51)))) % 2.85/3.06 (step @p43 :rule chain_m_resolution :premises (@p42 @p13 @p40) :args (@t50 @t39 (@list @t34 @t51))) % 2.85/3.06 (step @p44 :rule cnf_or_pos :args (@t54)) % 2.85/3.06 (step @p45 :rule reordering :premises (@p44) :args ((or @t53 @t52 (not @t54)))) % 2.85/3.06 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p39) :args (@t52 @t39 (@list @t50 @t54))) % 2.85/3.06 (step @p47 :rule symm :premises (@p46)) % 2.85/3.06 (step @p48 :rule refl :args (@t26)) % 2.85/3.06 (step @p49 :rule eq-symm :args (@t22 tptp.c_0)) % 2.85/3.06 (step @p50 :rule refl :args (@t12)) % 2.85/3.06 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t23)) % 2.85/3.06 (step @p52 :rule cong :premises (@p51) :args (@t24)) % 2.85/3.06 (step @p53 :rule eq_resolve :premises (@p7 @p52)) % 2.85/3.06 (step @p54 :rule instantiate :premises (@p53) :args ((@list tptp.t_b @t27))) % 2.85/3.06 (step @p55 :rule cnf_or_pos :args (@t57)) % 2.85/3.06 (step @p56 :rule reordering :premises (@p55) :args ((or @t48 @t56 (not @t57)))) % 2.85/3.06 (step @p57 :rule chain_m_resolution :premises (@p56 @p29 @p54) :args (@t56 @t39 (@list @t44 @t57))) % 2.85/3.06 (step @p58 :rule symm :premises (@p57)) % 2.85/3.06 (step @p59 :rule cong :premises (@p58 @p48 @p24) :args (@t58)) % 2.85/3.06 (step @p60 :rule eq-symm :args (@t58 @t59)) % 2.85/3.06 (step @p61 :rule refl :args (@t48)) % 2.85/3.06 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t60)) % 2.85/3.06 (step @p63 :rule refl :args (@t17)) % 2.85/3.06 (step @p64 :rule cong :premises (@p63 @p62) :args ((=> @t17 @t60))) % 2.85/3.06 (assume-push @p195 @t17) % 2.85/3.06 (step @p66 :rule instantiate :premises (@p3) :args ((@list tptp.t_b @t27 @t27 @t26))) % 2.85/3.06 (step-pop @p196 :rule scope :premises (@p66)) % 2.85/3.06 (step @p67 :rule process_scope :premises (@p196) :args (@t60)) % 2.85/3.06 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 2.85/3.06 (step @p70 :rule implies_elim :premises (@p69)) % 2.85/3.06 (step @p71 :rule chain_m_resolution :premises (@p70 @p3) :args (@t62 @t63 @t64)) % 2.85/3.06 (step @p72 :rule cnf_or_pos :args (@t62)) % 2.85/3.06 (step @p73 :rule reordering :premises (@p72) :args ((or @t48 @t61 (not @t62)))) % 2.85/3.06 (step @p74 :rule chain_m_resolution :premises (@p73 @p29 @p71) :args (@t61 @t39 (@list @t44 @t62))) % 2.85/3.06 (step @p75 :rule eq-symm :args (@t66 @t59)) % 2.85/3.06 (step @p76 :rule nary_cong :premises (@p61 @p75) :args (@t67)) % 2.85/3.06 (step @p77 :rule refl :args (@t14)) % 2.85/3.06 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t14 @t67))) % 2.85/3.06 (assume-push @p197 @t14) % 2.85/3.06 (step @p80 :rule instantiate :premises (@p2) :args ((@list tptp.t_b @t27 @t26 @t27))) % 2.85/3.06 (step-pop @p198 :rule scope :premises (@p80)) % 2.85/3.06 (step @p81 :rule process_scope :premises (@p198) :args (@t67)) % 2.85/3.06 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 2.85/3.06 (step @p84 :rule implies_elim :premises (@p83)) % 2.85/3.06 (step @p85 :rule chain_m_resolution :premises (@p84 @p2) :args (@t69 @t63 @t70)) % 2.85/3.06 (step @p86 :rule cnf_or_pos :args (@t69)) % 2.85/3.06 (step @p87 :rule reordering :premises (@p86) :args ((or @t48 @t68 (not @t69)))) % 2.85/3.06 (step @p88 :rule chain_m_resolution :premises (@p87 @p29 @p85) :args (@t68 @t39 (@list @t44 @t69))) % 2.85/3.06 (step @p89 :rule symm :premises (@p88)) % 2.85/3.06 (step @p90 :rule trans :premises (@p89 @p74 @p59 @p47)) % 2.85/3.06 (step @p91 :rule trans :premises (@p88 @p90)) % 2.85/3.06 (step @p92 :rule refl :args (@t46)) % 2.85/3.06 (step @p93 :rule cong :premises (@p92 @p91 @p24) :args ((tptp.c_minus @t46 @t59 tptp.t_b))) % 2.85/3.06 (step @p94 :rule cong :premises (@p92 @p89 @p24) :args (@t71)) % 2.85/3.06 (step @p95 :rule eq-symm :args (@t18 @t15)) % 2.85/3.06 (step @p96 :rule nary_cong :premises (@p50 @p95) :args (@t19)) % 2.85/3.06 (step @p97 :rule cong :premises (@p96) :args (@t20)) % 2.85/3.06 (step @p98 :rule eq_resolve :premises (@p4 @p97)) % 2.85/3.06 (step @p99 :rule instantiate :premises (@p98) :args ((@list tptp.t_b @t27 @t66 @t29))) % 2.85/3.06 (step @p100 :rule cnf_or_pos :args (@t74)) % 2.85/3.06 (step @p101 :rule reordering :premises (@p100) :args ((or @t48 @t73 (not @t74)))) % 2.85/3.06 (step @p102 :rule chain_m_resolution :premises (@p101 @p29 @p99) :args (@t73 @t39 (@list @t44 @t74))) % 2.85/3.06 (step @p103 :rule symm :premises (@p102)) % 2.85/3.06 (step @p104 :rule refl :args (@t29)) % 2.85/3.06 (step @p105 :rule symm :premises (@p74)) % 2.85/3.06 (step @p106 :rule trans :premises (@p105 @p88)) % 2.85/3.06 (step @p107 :rule cong :premises (@p106 @p104 @p24) :args (@t75)) % 2.85/3.06 (step @p108 :rule instantiate :premises (@p98) :args ((@list tptp.t_b @t55 @t29 @t26))) % 2.85/3.06 (step @p109 :rule cnf_or_pos :args (@t78)) % 2.85/3.06 (step @p110 :rule reordering :premises (@p109) :args ((or @t48 @t77 (not @t78)))) % 2.85/3.06 (step @p111 :rule chain_m_resolution :premises (@p110 @p29 @p108) :args (@t77 @t39 (@list @t44 @t78))) % 2.85/3.06 (step @p112 :rule symm :premises (@p111)) % 2.85/3.06 (step @p113 :rule trans :premises (@p112 @p107)) % 2.85/3.06 (step @p114 :rule refl :args (@t27)) % 2.85/3.06 (step @p115 :rule cong :premises (@p114 @p113 @p24) :args ((tptp.c_minus @t27 @t76 tptp.t_b))) % 2.85/3.06 (step @p116 :rule symm :premises (@p113)) % 2.85/3.06 (step @p117 :rule instantiate :premises (@p98) :args ((@list tptp.t_b @t27 @t29 @t65))) % 2.85/3.06 (step @p118 :rule cnf_or_pos :args (@t82)) % 2.85/3.06 (step @p119 :rule reordering :premises (@p118) :args ((or @t48 @t81 (not @t82)))) % 2.85/3.06 (step @p120 :rule chain_m_resolution :premises (@p119 @p29 @p117) :args (@t81 @t39 (@list @t44 @t82))) % 2.85/3.06 (step @p121 :rule symm :premises (@p120)) % 2.85/3.06 (step @p122 :rule trans :premises (@p121 @p116)) % 2.85/3.06 (step @p123 :rule cong :premises (@p114 @p122 @p24) :args (@t83)) % 2.85/3.06 (step @p124 :rule instantiate :premises (@p98) :args (@t84)) % 2.85/3.06 (step @p125 :rule cnf_or_pos :args (@t87)) % 2.85/3.06 (step @p126 :rule reordering :premises (@p125) :args ((or @t48 @t86 (not @t87)))) % 2.85/3.06 (step @p127 :rule chain_m_resolution :premises (@p126 @p29 @p124) :args (@t86 @t39 (@list @t44 @t87))) % 2.85/3.06 (step @p128 :rule instantiate :premises (@p3) :args (@t84)) % 2.85/3.06 (step @p129 :rule cnf_or_pos :args (@t90)) % 2.85/3.06 (step @p130 :rule reordering :premises (@p129) :args ((or @t48 @t89 (not @t90)))) % 2.85/3.06 (step @p131 :rule chain_m_resolution :premises (@p130 @p29 @p128) :args (@t89 @t39 (@list @t44 @t90))) % 2.85/3.06 (step @p132 :rule instantiate :premises (@p2) :args ((@list tptp.t_b @t55 @t29 @t65))) % 2.85/3.06 (step @p133 :rule cnf_or_pos :args (@t93)) % 2.85/3.06 (step @p134 :rule reordering :premises (@p133) :args ((or @t48 @t92 (not @t93)))) % 2.85/3.06 (step @p135 :rule chain_m_resolution :premises (@p134 @p29 @p132) :args (@t92 @t39 (@list @t44 @t93))) % 2.85/3.06 (step @p136 :rule symm :premises (@p135)) % 2.85/3.06 (step @p137 :rule refl :args (@t65)) % 2.85/3.06 (step @p138 :rule eq-symm :args (@t91 @t94)) % 2.85/3.06 (step @p139 :rule nary_cong :premises (@p61 @p138) :args (@t95)) % 2.85/3.06 (step @p140 :rule cong :premises (@p63 @p139) :args ((=> @t17 @t95))) % 2.85/3.06 (assume-push @p199 @t17) % 2.85/3.06 (step @p142 :rule instantiate :premises (@p3) :args ((@list tptp.t_b @t27 @t27 @t29))) % 2.85/3.06 (step-pop @p200 :rule scope :premises (@p142)) % 2.85/3.06 (step @p143 :rule process_scope :premises (@p200) :args (@t95)) % 2.85/3.06 (step @p145 :rule eq_resolve :premises (@p143 @p140)) % 2.85/3.06 (step @p146 :rule implies_elim :premises (@p145)) % 2.85/3.06 (step @p147 :rule chain_m_resolution :premises (@p146 @p3) :args (@t97 @t63 @t64)) % 2.85/3.06 (step @p148 :rule cnf_or_pos :args (@t97)) % 2.85/3.06 (step @p149 :rule reordering :premises (@p148) :args ((or @t48 @t96 (not @t97)))) % 2.85/3.06 (step @p150 :rule chain_m_resolution :premises (@p149 @p29 @p147) :args (@t96 @t39 (@list @t44 @t97))) % 2.85/3.06 (step @p151 :rule eq-symm :args (@t98 @t94)) % 2.85/3.06 (step @p152 :rule nary_cong :premises (@p61 @p151) :args (@t99)) % 2.85/3.06 (step @p153 :rule cong :premises (@p77 @p152) :args ((=> @t14 @t99))) % 2.85/3.06 (assume-push @p201 @t14) % 2.85/3.06 (step @p155 :rule instantiate :premises (@p2) :args ((@list tptp.t_b @t27 @t29 @t27))) % 2.85/3.06 (step-pop @p202 :rule scope :premises (@p155)) % 2.85/3.06 (step @p156 :rule process_scope :premises (@p202) :args (@t99)) % 2.85/3.06 (step @p158 :rule eq_resolve :premises (@p156 @p153)) % 2.85/3.06 (step @p159 :rule implies_elim :premises (@p158)) % 2.85/3.06 (step @p160 :rule chain_m_resolution :premises (@p159 @p2) :args (@t101 @t63 @t70)) % 2.85/3.06 (step @p161 :rule cnf_or_pos :args (@t101)) % 2.85/3.06 (step @p162 :rule reordering :premises (@p161) :args ((or @t48 @t100 (not @t101)))) % 2.85/3.06 (step @p163 :rule chain_m_resolution :premises (@p162 @p29 @p160) :args (@t100 @t39 (@list @t44 @t101))) % 2.85/3.06 (step @p164 :rule symm :premises (@p163)) % 2.85/3.06 (step @p165 :rule trans :premises (@p164 @p150)) % 2.85/3.06 (step @p166 :rule symm :premises (@p150)) % 2.85/3.06 (step @p167 :rule cong :premises (@p57 @p104 @p24) :args (@t102)) % 2.85/3.06 (step @p168 :rule instantiate :premises (@p38) :args ((@list tptp.t_b @t29))) % 2.85/3.06 (step @p169 :rule cnf_or_pos :args (@t104)) % 2.85/3.06 (step @p170 :rule reordering :premises (@p169) :args ((or @t53 @t103 (not @t104)))) % 2.85/3.06 (step @p171 :rule chain_m_resolution :premises (@p170 @p43 @p168) :args (@t103 @t39 (@list @t50 @t104))) % 2.85/3.06 (step @p172 :rule trans :premises (@p171 @p167 @p166 @p163)) % 2.85/3.06 (step @p173 :rule trans :premises (@p172 @p165)) % 2.85/3.06 (step @p174 :rule cong :premises (@p173 @p137 @p24) :args (@t79)) % 2.85/3.06 (step @p175 :rule trans :premises (@p174 @p136 @p131 @p127 @p123 @p115 @p103 @p94 @p93)) % 2.85/3.06 (step @p176 :rule symm :premises (@p174)) % 2.85/3.06 (step @p177 :rule trans :premises (@p135 @p176)) % 2.85/3.06 (step @p178 :rule trans :premises (@p177 @p175 @p33)) % 2.85/3.06 (step @p179 :rule cong :premises (@p114 @p178 @p24) :args ((tptp.c_lessequals @t27 @t88 tptp.t_b))) % 2.85/3.06 (step @p180 :rule symm :premises (@p177)) % 2.85/3.06 (step @p181 :rule cong :premises (@p114 @p180 @p24) :args (@t105)) % 2.85/3.06 (step @p182 :rule instantiate :premises (@p6) :args ((@list tptp.t_b @t27 @t65 @t29))) % 2.85/3.06 (step @p183 :rule instantiate :premises (@p8) :args ((@list tptp.v_x))) % 2.85/3.06 (step @p184 :rule true_intro :premises (@p183)) % 2.85/3.06 (step @p185 :rule cong :premises (@p90 @p104 @p24) :args (@t106)) % 2.85/3.06 (step @p186 :rule trans :premises (@p185 @p184)) % 2.85/3.06 (step @p187 :rule true_elim :premises (@p186)) % 2.85/3.06 (step @p188 :rule cnf_or_pos :args (@t108)) % 2.85/3.06 (step @p189 :rule reordering :premises (@p188) :args ((or @t42 @t107 @t105 (not @t108)))) % 2.85/3.06 (step @p190 :rule chain_m_resolution :premises (@p189 @p19 @p187 @p182) :args (@t105 (@list false false false) (@list @t36 @t106 @t108))) % 2.85/3.06 (step @p191 :rule true_intro :premises (@p190)) % 2.85/3.06 (step @p192 :rule symm :premises (@p191)) % 2.85/3.06 (step @p193 :rule trans :premises (@p192 @p181 @p179 @p23)) % 2.85/3.06 (step @p194 false :rule eq_resolve :premises (@p193 @p14)) % 2.85/3.06 ) % 2.85/3.07 % SZS output end Proof % 2.85/3.07 % cvc5 exiting %------------------------------------------------------------------------------