%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA030-2 : 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 : n017.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 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ANA030-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n017.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 02:17:31 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.61 % SZS status Unsatisfiable % 0.38/0.61 % SZS output start Proof % 0.38/0.62 ( % 0.38/0.62 (declare-sort $$unsorted 0) % 0.38/0.62 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.c_uminus (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.t_b $$unsorted) % 0.38/0.62 (declare-const tptp.v_h (-> $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.v_x (-> $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.v_c $$unsorted) % 0.38/0.62 (declare-const tptp.c_plus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.c_times (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.c_0 $$unsorted) % 0.38/0.62 (declare-const tptp.v_g (-> $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.c_minus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__abs (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.c_Orderings_Omax (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (define @t1 () (@var "V_U" $$unsorted)) % 0.38/0.62 (define @t2 () (@list @t1)) % 0.38/0.62 (define @t3 () (tptp.v_x @t1)) % 0.38/0.62 (define @t4 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) % 0.38/0.62 (define @t5 () (@var "V_y" $$unsorted)) % 0.38/0.62 (define @t6 () (@var "T_a" $$unsorted)) % 0.38/0.62 (define @t7 () (tptp.c_HOL_Oabs @t5 @t6)) % 0.38/0.62 (define @t8 () (not (tptp.c_lessequals tptp.c_0 @t5 @t6))) % 0.38/0.62 (define @t9 () (not (tptp.class_OrderedGroup_Olordered__ab__group__abs @t6))) % 0.38/0.62 (define @t10 () (or @t9 @t8 (= @t7 @t5))) % 0.38/0.62 (define @t11 () (@list @t6 @t5)) % 0.38/0.62 (define @t12 () (forall @t11 @t10)) % 0.38/0.62 (define @t13 () (@var "V_b" $$unsorted)) % 0.38/0.62 (define @t14 () (@var "V_a" $$unsorted)) % 0.38/0.62 (define @t15 () (tptp.c_minus @t14 @t13 @t6)) % 0.38/0.62 (define @t16 () (tptp.c_uminus @t13 @t6)) % 0.38/0.62 (define @t17 () (not (tptp.class_OrderedGroup_Oab__group__add @t6))) % 0.38/0.62 (define @t18 () (@list @t6 @t14 @t13)) % 0.38/0.62 (define @t19 () (forall @t18 (or @t17 (= (tptp.c_plus @t14 @t16 @t6) @t15)))) % 0.38/0.62 (define @t20 () (@var "V_c" $$unsorted)) % 0.38/0.62 (define @t21 () (tptp.c_plus @t14 @t13 @t6)) % 0.38/0.62 (define @t22 () (forall @t18 (or @t17 (= (tptp.c_minus @t14 @t16 @t6) @t21)))) % 0.38/0.62 (define @t23 () (forall @t18 (or @t17 (= (tptp.c_uminus @t15 @t6) (tptp.c_minus @t13 @t14 @t6))))) % 0.38/0.62 (define @t24 () (tptp.c_uminus (tptp.c_uminus @t5 @t6) @t6)) % 0.38/0.62 (define @t25 () (or @t17 (= @t24 @t5))) % 0.38/0.62 (define @t26 () (forall @t11 @t25)) % 0.38/0.62 (define @t27 () (@var "T_b" $$unsorted)) % 0.38/0.62 (define @t28 () (@var "V_x" $$unsorted)) % 0.38/0.62 (define @t29 () (tptp.c_Orderings_Omax @t28 @t5 @t27)) % 0.38/0.62 (define @t30 () (not (tptp.class_Orderings_Olinorder @t27))) % 0.38/0.62 (define @t31 () (@var "V_z" $$unsorted)) % 0.38/0.62 (define @t32 () (@var "T" $$unsorted)) % 0.38/0.62 (define @t33 () (tptp.class_OrderedGroup_Olordered__ab__group__abs @t32)) % 0.38/0.62 (define @t34 () (@list @t32)) % 0.38/0.62 (define @t35 () (not (tptp.class_Ring__and__Field_Oordered__idom @t32))) % 0.38/0.62 (define @t36 () (tptp.v_x tptp.v_c)) % 0.38/0.62 (define @t37 () (tptp.c_times tptp.v_c (tptp.c_HOL_Oabs (tptp.v_h @t36) tptp.t_b) tptp.t_b)) % 0.38/0.62 (define @t38 () (tptp.c_uminus @t37 tptp.t_b)) % 0.38/0.62 (define @t39 () (tptp.v_g @t36)) % 0.38/0.62 (define @t40 () (tptp.c_minus @t39 @t38 tptp.t_b)) % 0.38/0.62 (define @t41 () (tptp.c_plus @t39 @t37 tptp.t_b)) % 0.38/0.62 (define @t42 () (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) % 0.38/0.62 (define @t43 () (not @t42)) % 0.38/0.62 (define @t44 () (or @t43 (= @t40 @t41))) % 0.38/0.62 (define @t45 () (@list tptp.t_b @t39 @t37)) % 0.38/0.62 (define @t46 () (= @t41 @t40)) % 0.38/0.62 (define @t47 () (or @t43 @t46)) % 0.38/0.62 (define @t48 () (@list false)) % 0.38/0.62 (define @t49 () (@list tptp.t_b)) % 0.38/0.62 (define @t50 () (not @t4)) % 0.38/0.62 (define @t51 () (or @t50 @t42)) % 0.38/0.62 (define @t52 () (@list false false)) % 0.38/0.62 (define @t53 () (tptp.c_uminus @t38 tptp.t_b)) % 0.38/0.62 (define @t54 () (tptp.c_plus @t39 @t53 tptp.t_b)) % 0.38/0.62 (define @t55 () (or @t43 (= @t54 @t40))) % 0.38/0.62 (define @t56 () (@list tptp.t_b @t39 @t38)) % 0.38/0.62 (define @t57 () (= @t40 @t54)) % 0.38/0.62 (define @t58 () (or @t43 @t57)) % 0.38/0.62 (define @t59 () (@list @t19)) % 0.38/0.62 (define @t60 () (tptp.c_minus @t38 @t39 tptp.t_b)) % 0.38/0.62 (define @t61 () (tptp.c_uminus @t60 tptp.t_b)) % 0.38/0.62 (define @t62 () (or @t43 (= @t61 @t40))) % 0.38/0.62 (define @t63 () (@list tptp.t_b @t38 @t39)) % 0.38/0.62 (define @t64 () (= @t40 @t61)) % 0.38/0.62 (define @t65 () (or @t43 @t64)) % 0.38/0.62 (define @t66 () (= (tptp.c_uminus @t40 tptp.t_b) @t60)) % 0.38/0.62 (define @t67 () (or @t43 @t66)) % 0.38/0.62 (define @t68 () (tptp.c_uminus @t41 tptp.t_b)) % 0.38/0.62 (define @t69 () (tptp.c_uminus @t39 tptp.t_b)) % 0.38/0.62 (define @t70 () (tptp.c_plus @t69 @t38 tptp.t_b)) % 0.38/0.62 (define @t71 () (= @t68 @t70)) % 0.38/0.62 (define @t72 () (or @t43 @t71)) % 0.38/0.62 (define @t73 () (tptp.c_plus @t38 @t69 tptp.t_b)) % 0.38/0.62 (define @t74 () (or @t43 (= @t73 @t60))) % 0.38/0.62 (define @t75 () (= @t60 @t73)) % 0.38/0.62 (define @t76 () (or @t43 @t75)) % 0.38/0.62 (define @t77 () (tptp.c_uminus @t73 tptp.t_b)) % 0.38/0.62 (define @t78 () (tptp.c_uminus @t69 tptp.t_b)) % 0.38/0.62 (define @t79 () (= @t77 (tptp.c_plus @t53 @t78 tptp.t_b))) % 0.38/0.62 (define @t80 () (or @t43 @t79)) % 0.38/0.62 (define @t81 () (= @t39 @t78)) % 0.38/0.62 (define @t82 () (or @t43 @t81)) % 0.38/0.62 (define @t83 () (= @t37 @t53)) % 0.38/0.62 (define @t84 () (or @t43 @t83)) % 0.38/0.62 (define @t85 () (tptp.c_plus @t37 @t39 tptp.t_b)) % 0.38/0.62 (define @t86 () (tptp.v_f @t36)) % 0.38/0.62 (define @t87 () (tptp.c_lessequals @t86 @t85 tptp.t_b)) % 0.38/0.62 (define @t88 () (tptp.c_minus @t86 @t39 tptp.t_b)) % 0.38/0.62 (define @t89 () (tptp.c_Orderings_Omax @t88 tptp.c_0 tptp.t_b)) % 0.38/0.62 (define @t90 () (tptp.class_Orderings_Olinorder tptp.t_b)) % 0.38/0.62 (define @t91 () (or @t50 @t90)) % 0.38/0.62 (define @t92 () (tptp.c_lessequals tptp.c_0 @t89 tptp.t_b)) % 0.38/0.62 (define @t93 () (not @t90)) % 0.38/0.62 (define @t94 () (or @t93 @t92)) % 0.38/0.62 (define @t95 () (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) % 0.38/0.62 (define @t96 () (or @t50 @t95)) % 0.38/0.62 (define @t97 () (= @t89 (tptp.c_HOL_Oabs @t89 tptp.t_b))) % 0.38/0.62 (define @t98 () (not @t92)) % 0.38/0.62 (define @t99 () (not @t95)) % 0.38/0.62 (define @t100 () (or @t99 @t98 @t97)) % 0.38/0.62 (define @t101 () (@list false false false)) % 0.38/0.62 (define @t102 () (tptp.c_lessequals @t89 @t37 tptp.t_b)) % 0.38/0.62 (define @t103 () (tptp.c_lessequals @t88 @t37 tptp.t_b)) % 0.38/0.62 (define @t104 () (not @t102)) % 0.38/0.62 (define @t105 () (or @t93 @t104 @t103)) % 0.38/0.62 (define @t106 () (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) % 0.38/0.62 (define @t107 () (or @t99 @t106)) % 0.38/0.62 (define @t108 () (not @t103)) % 0.38/0.62 (define @t109 () (not @t106)) % 0.38/0.62 (define @t110 () (or @t109 @t108 @t87)) % 0.38/0.62 (assume @p1 (forall @t2 (tptp.c_lessequals (tptp.c_HOL_Oabs (tptp.c_Orderings_Omax (tptp.c_minus (tptp.v_f @t1) (tptp.v_g @t1) tptp.t_b) tptp.c_0 tptp.t_b) tptp.t_b) (tptp.c_times tptp.v_c (tptp.c_HOL_Oabs (tptp.v_h @t1) tptp.t_b) tptp.t_b) tptp.t_b))) % 0.38/0.62 (assume @p2 (forall @t2 (not (tptp.c_lessequals (tptp.v_f @t3) (tptp.c_plus (tptp.v_g @t3) (tptp.c_times @t1 (tptp.c_HOL_Oabs (tptp.v_h @t3) tptp.t_b) tptp.t_b) tptp.t_b) tptp.t_b)))) % 0.38/0.62 (assume @p3 @t4) % 0.38/0.62 (assume @p4 @t12) % 0.38/0.62 (assume @p5 @t19) % 0.38/0.62 (assume @p6 (forall (@list @t6 @t14 @t13 @t20) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t6)) (not (tptp.c_lessequals @t15 @t20 @t6)) (tptp.c_lessequals @t14 (tptp.c_plus @t20 @t13 @t6) @t6)))) % 0.38/0.62 (assume @p7 @t22) % 0.38/0.62 (assume @p8 (forall @t18 (or @t17 (= (tptp.c_uminus @t21 @t6) (tptp.c_plus (tptp.c_uminus @t14 @t6) @t16 @t6))))) % 0.38/0.62 (assume @p9 @t23) % 0.38/0.62 (assume @p10 @t26) % 0.38/0.62 (assume @p11 (forall (@list @t27 @t5 @t28) (or @t30 (tptp.c_lessequals @t5 @t29 @t27)))) % 0.38/0.62 (assume @p12 (forall (@list @t27 @t28 @t5 @t31) (or @t30 (not (tptp.c_lessequals @t29 @t31 @t27)) (tptp.c_lessequals @t28 @t31 @t27)))) % 0.38/0.62 (assume @p13 (forall @t34 (or (not @t33) (tptp.class_OrderedGroup_Opordered__ab__group__add @t32)))) % 0.38/0.62 (assume @p14 (forall @t34 (or @t35 (tptp.class_Orderings_Olinorder @t32)))) % 0.38/0.62 (assume @p15 (forall @t34 (or @t35 (tptp.class_OrderedGroup_Oab__group__add @t32)))) % 0.38/0.62 (assume @p16 (forall @t34 (or @t35 @t33))) % 0.38/0.62 (step @p17 :rule evaluate :args ((= true false))) % 0.38/0.62 (step @p18 :rule instantiate :premises (@p2) :args ((@list tptp.v_c))) % 0.38/0.62 (step @p19 :rule false_intro :premises (@p18)) % 0.38/0.62 (step @p20 :rule refl :args (tptp.t_b)) % 0.38/0.62 (step @p21 :rule eq-symm :args (@t40 @t41)) % 0.38/0.62 (step @p22 :rule refl :args (@t43)) % 0.38/0.62 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t44)) % 0.38/0.62 (step @p24 :rule refl :args (@t22)) % 0.38/0.62 (step @p25 :rule cong :premises (@p24 @p23) :args ((=> @t22 @t44))) % 0.38/0.62 (assume-push @p168 @t22) % 0.38/0.62 (step @p27 :rule instantiate :premises (@p7) :args (@t45)) % 0.38/0.62 (step-pop @p169 :rule scope :premises (@p27)) % 0.38/0.62 (step @p28 :rule process_scope :premises (@p169) :args (@t44)) % 0.38/0.62 (step @p30 :rule eq_resolve :premises (@p28 @p25)) % 0.38/0.62 (step @p31 :rule implies_elim :premises (@p30)) % 0.38/0.62 (step @p32 :rule chain_m_resolution :premises (@p31 @p7) :args (@t47 @t48 (@list @t22))) % 0.38/0.62 (step @p33 :rule instantiate :premises (@p15) :args (@t49)) % 0.38/0.62 (step @p34 :rule cnf_or_pos :args (@t51)) % 0.38/0.62 (step @p35 :rule reordering :premises (@p34) :args ((or @t50 @t42 (not @t51)))) % 0.38/0.62 (step @p36 :rule chain_m_resolution :premises (@p35 @p3 @p33) :args (@t42 @t52 (@list @t4 @t51))) % 0.38/0.62 (step @p37 :rule cnf_or_pos :args (@t47)) % 0.38/0.62 (step @p38 :rule reordering :premises (@p37) :args ((or @t43 @t46 (not @t47)))) % 0.38/0.62 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p32) :args (@t46 @t52 (@list @t42 @t47))) % 0.38/0.62 (step @p40 :rule symm :premises (@p39)) % 0.38/0.62 (step @p41 :rule eq-symm :args (@t54 @t40)) % 0.38/0.62 (step @p42 :rule nary_cong :premises (@p22 @p41) :args (@t55)) % 0.38/0.62 (step @p43 :rule refl :args (@t19)) % 0.38/0.62 (step @p44 :rule cong :premises (@p43 @p42) :args ((=> @t19 @t55))) % 0.38/0.62 (assume-push @p170 @t19) % 0.38/0.62 (step @p46 :rule instantiate :premises (@p5) :args (@t56)) % 0.38/0.62 (step-pop @p171 :rule scope :premises (@p46)) % 0.38/0.62 (step @p47 :rule process_scope :premises (@p171) :args (@t55)) % 0.38/0.62 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 0.38/0.62 (step @p50 :rule implies_elim :premises (@p49)) % 0.38/0.62 (step @p51 :rule chain_m_resolution :premises (@p50 @p5) :args (@t58 @t48 @t59)) % 0.38/0.62 (step @p52 :rule cnf_or_pos :args (@t58)) % 0.38/0.62 (step @p53 :rule reordering :premises (@p52) :args ((or @t43 @t57 (not @t58)))) % 0.38/0.62 (step @p54 :rule chain_m_resolution :premises (@p53 @p36 @p51) :args (@t57 @t52 (@list @t42 @t58))) % 0.38/0.62 (step @p55 :rule symm :premises (@p54)) % 0.38/0.62 (step @p56 :rule trans :premises (@p55 @p40)) % 0.38/0.62 (step @p57 :rule eq-symm :args (@t61 @t40)) % 0.38/0.62 (step @p58 :rule nary_cong :premises (@p22 @p57) :args (@t62)) % 0.38/0.62 (step @p59 :rule refl :args (@t23)) % 0.38/0.62 (step @p60 :rule cong :premises (@p59 @p58) :args ((=> @t23 @t62))) % 0.38/0.62 (assume-push @p172 @t23) % 0.38/0.62 (step @p62 :rule instantiate :premises (@p9) :args (@t63)) % 0.38/0.62 (step-pop @p173 :rule scope :premises (@p62)) % 0.38/0.62 (step @p63 :rule process_scope :premises (@p173) :args (@t62)) % 0.38/0.62 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 0.38/0.62 (step @p66 :rule implies_elim :premises (@p65)) % 0.38/0.62 (step @p67 :rule chain_m_resolution :premises (@p66 @p9) :args (@t65 @t48 (@list @t23))) % 0.38/0.62 (step @p68 :rule cnf_or_pos :args (@t65)) % 0.38/0.62 (step @p69 :rule reordering :premises (@p68) :args ((or @t43 @t64 (not @t65)))) % 0.38/0.62 (step @p70 :rule chain_m_resolution :premises (@p69 @p36 @p67) :args (@t64 @t52 (@list @t42 @t65))) % 0.38/0.62 (step @p71 :rule symm :premises (@p70)) % 0.38/0.62 (step @p72 :rule instantiate :premises (@p9) :args (@t56)) % 0.38/0.62 (step @p73 :rule cnf_or_pos :args (@t67)) % 0.38/0.62 (step @p74 :rule reordering :premises (@p73) :args ((or @t43 @t66 (not @t67)))) % 0.38/0.62 (step @p75 :rule chain_m_resolution :premises (@p74 @p36 @p72) :args (@t66 @t52 (@list @t42 @t67))) % 0.38/0.62 (step @p76 :rule cong :premises (@p39 @p20) :args (@t68)) % 0.38/0.62 (step @p77 :rule instantiate :premises (@p8) :args (@t45)) % 0.38/0.62 (step @p78 :rule cnf_or_pos :args (@t72)) % 0.38/0.62 (step @p79 :rule reordering :premises (@p78) :args ((or @t43 @t71 (not @t72)))) % 0.38/0.62 (step @p80 :rule chain_m_resolution :premises (@p79 @p36 @p77) :args (@t71 @t52 (@list @t42 @t72))) % 0.38/0.62 (step @p81 :rule symm :premises (@p80)) % 0.38/0.62 (step @p82 :rule trans :premises (@p81 @p76 @p75)) % 0.38/0.62 (step @p83 :rule cong :premises (@p82 @p20) :args ((tptp.c_uminus @t70 tptp.t_b))) % 0.38/0.62 (step @p84 :rule symm :premises (@p82)) % 0.38/0.62 (step @p85 :rule eq-symm :args (@t73 @t60)) % 0.38/0.62 (step @p86 :rule nary_cong :premises (@p22 @p85) :args (@t74)) % 0.38/0.62 (step @p87 :rule cong :premises (@p43 @p86) :args ((=> @t19 @t74))) % 0.38/0.62 (assume-push @p174 @t19) % 0.38/0.62 (step @p89 :rule instantiate :premises (@p5) :args (@t63)) % 0.38/0.62 (step-pop @p175 :rule scope :premises (@p89)) % 0.38/0.62 (step @p90 :rule process_scope :premises (@p175) :args (@t74)) % 0.38/0.62 (step @p92 :rule eq_resolve :premises (@p90 @p87)) % 0.38/0.62 (step @p93 :rule implies_elim :premises (@p92)) % 0.38/0.62 (step @p94 :rule chain_m_resolution :premises (@p93 @p5) :args (@t76 @t48 @t59)) % 0.38/0.62 (step @p95 :rule cnf_or_pos :args (@t76)) % 0.38/0.62 (step @p96 :rule reordering :premises (@p95) :args ((or @t43 @t75 (not @t76)))) % 0.38/0.62 (step @p97 :rule chain_m_resolution :premises (@p96 @p36 @p94) :args (@t75 @t52 (@list @t42 @t76))) % 0.38/0.62 (step @p98 :rule symm :premises (@p97)) % 0.38/0.62 (step @p99 :rule trans :premises (@p98 @p84)) % 0.38/0.62 (step @p100 :rule cong :premises (@p99 @p20) :args (@t77)) % 0.38/0.62 (step @p101 :rule instantiate :premises (@p8) :args ((@list tptp.t_b @t38 @t69))) % 0.38/0.62 (step @p102 :rule cnf_or_pos :args (@t80)) % 0.38/0.62 (step @p103 :rule reordering :premises (@p102) :args ((or @t43 @t79 (not @t80)))) % 0.38/0.62 (step @p104 :rule chain_m_resolution :premises (@p103 @p36 @p101) :args (@t79 @t52 (@list @t42 @t80))) % 0.38/0.62 (step @p105 :rule symm :premises (@p104)) % 0.38/0.62 (step @p106 :rule eq-symm :args (@t24 @t5)) % 0.38/0.62 (step @p107 :rule refl :args (@t17)) % 0.38/0.62 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t25)) % 0.38/0.62 (step @p109 :rule cong :premises (@p108) :args (@t26)) % 0.38/0.62 (step @p110 :rule eq_resolve :premises (@p10 @p109)) % 0.38/0.62 (step @p111 :rule instantiate :premises (@p110) :args ((@list tptp.t_b @t39))) % 0.38/0.62 (step @p112 :rule cnf_or_pos :args (@t82)) % 0.38/0.62 (step @p113 :rule reordering :premises (@p112) :args ((or @t43 @t81 (not @t82)))) % 0.38/0.62 (step @p114 :rule chain_m_resolution :premises (@p113 @p36 @p111) :args (@t81 @t52 (@list @t42 @t82))) % 0.38/0.62 (step @p115 :rule instantiate :premises (@p110) :args ((@list tptp.t_b @t37))) % 0.38/0.62 (step @p116 :rule cnf_or_pos :args (@t84)) % 0.38/0.62 (step @p117 :rule reordering :premises (@p116) :args ((or @t43 @t83 (not @t84)))) % 0.38/0.62 (step @p118 :rule chain_m_resolution :premises (@p117 @p36 @p115) :args (@t83 @t52 (@list @t42 @t84))) % 0.38/0.62 (step @p119 :rule cong :premises (@p118 @p114 @p20) :args (@t85)) % 0.38/0.62 (step @p120 :rule trans :premises (@p119 @p105 @p100 @p83 @p71 @p54)) % 0.38/0.62 (step @p121 :rule trans :premises (@p120 @p56)) % 0.38/0.62 (step @p122 :rule refl :args (@t86)) % 0.38/0.62 (step @p123 :rule cong :premises (@p122 @p121 @p20) :args (@t87)) % 0.38/0.62 (step @p124 :rule instantiate :premises (@p6) :args ((@list tptp.t_b @t86 @t39 @t37))) % 0.38/0.62 (step @p125 :rule instantiate :premises (@p12) :args ((@list tptp.t_b @t88 tptp.c_0 @t37))) % 0.38/0.62 (step @p126 :rule instantiate :premises (@p1) :args ((@list @t36))) % 0.38/0.62 (step @p127 :rule true_intro :premises (@p126)) % 0.38/0.62 (step @p128 :rule refl :args (@t37)) % 0.38/0.62 (step @p129 :rule eq-symm :args (@t7 @t5)) % 0.38/0.62 (step @p130 :rule refl :args (@t8)) % 0.38/0.62 (step @p131 :rule refl :args (@t9)) % 0.38/0.62 (step @p132 :rule nary_cong :premises (@p131 @p130 @p129) :args (@t10)) % 0.38/0.62 (step @p133 :rule cong :premises (@p132) :args (@t12)) % 0.38/0.62 (step @p134 :rule eq_resolve :premises (@p4 @p133)) % 0.38/0.62 (step @p135 :rule instantiate :premises (@p134) :args ((@list tptp.t_b @t89))) % 0.38/0.62 (step @p136 :rule instantiate :premises (@p11) :args ((@list tptp.t_b tptp.c_0 @t88))) % 0.38/0.62 (step @p137 :rule instantiate :premises (@p14) :args (@t49)) % 0.38/0.62 (step @p138 :rule cnf_or_pos :args (@t91)) % 0.38/0.62 (step @p139 :rule reordering :premises (@p138) :args ((or @t50 @t90 (not @t91)))) % 0.38/0.62 (step @p140 :rule chain_m_resolution :premises (@p139 @p3 @p137) :args (@t90 @t52 (@list @t4 @t91))) % 0.38/0.62 (step @p141 :rule cnf_or_pos :args (@t94)) % 0.38/0.62 (step @p142 :rule reordering :premises (@p141) :args ((or @t93 @t92 (not @t94)))) % 0.38/0.62 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p136) :args (@t92 @t52 (@list @t90 @t94))) % 0.38/0.62 (step @p144 :rule instantiate :premises (@p16) :args (@t49)) % 0.38/0.62 (step @p145 :rule cnf_or_pos :args (@t96)) % 0.38/0.62 (step @p146 :rule reordering :premises (@p145) :args ((or @t50 @t95 (not @t96)))) % 0.38/0.62 (step @p147 :rule chain_m_resolution :premises (@p146 @p3 @p144) :args (@t95 @t52 (@list @t4 @t96))) % 0.38/0.62 (step @p148 :rule cnf_or_pos :args (@t100)) % 0.38/0.62 (step @p149 :rule reordering :premises (@p148) :args ((or @t99 @t98 @t97 (not @t100)))) % 0.38/0.62 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p143 @p135) :args (@t97 @t101 (@list @t95 @t92 @t100))) % 0.38/0.62 (step @p151 :rule cong :premises (@p150 @p128 @p20) :args (@t102)) % 0.38/0.62 (step @p152 :rule trans :premises (@p151 @p127)) % 0.38/0.62 (step @p153 :rule true_elim :premises (@p152)) % 0.38/0.62 (step @p154 :rule cnf_or_pos :args (@t105)) % 0.38/0.62 (step @p155 :rule reordering :premises (@p154) :args ((or @t93 @t104 @t103 (not @t105)))) % 0.38/0.62 (step @p156 :rule chain_m_resolution :premises (@p155 @p140 @p153 @p125) :args (@t103 @t101 (@list @t90 @t102 @t105))) % 0.38/0.62 (step @p157 :rule instantiate :premises (@p13) :args (@t49)) % 0.38/0.62 (step @p158 :rule cnf_or_pos :args (@t107)) % 0.38/0.62 (step @p159 :rule reordering :premises (@p158) :args ((or @t99 @t106 (not @t107)))) % 0.38/0.62 (step @p160 :rule chain_m_resolution :premises (@p159 @p147 @p157) :args (@t106 @t52 (@list @t95 @t107))) % 0.38/0.62 (step @p161 :rule cnf_or_pos :args (@t110)) % 0.38/0.62 (step @p162 :rule reordering :premises (@p161) :args ((or @t109 @t108 @t87 (not @t110)))) % 0.38/0.62 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p156 @p124) :args (@t87 @t101 (@list @t106 @t103 @t110))) % 0.38/0.62 (step @p164 :rule true_intro :premises (@p163)) % 0.38/0.62 (step @p165 :rule symm :premises (@p164)) % 0.38/0.62 (step @p166 :rule trans :premises (@p165 @p123 @p19)) % 0.38/0.62 (step @p167 false :rule eq_resolve :premises (@p166 @p17)) % 0.38/0.62 ) % 0.38/0.62 % SZS output end Proof % 0.38/0.62 % cvc5 exiting %------------------------------------------------------------------------------