TSTP Solution File: ANA034-2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : ANA034-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n015.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 : 600s
% DateTime : Thu Jul 14 19:08:44 EDT 2022
% Result : Unsatisfiable 2.13s 0.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ANA034-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jul 8 05:29:50 EDT 2022
% 0.14/0.36 % CPUTime :
% 2.13/0.67 % SZS status Unsatisfiable
% 2.13/0.67 % SZS output begin IncompleteProof
% 2.13/0.67 cnf(c0, axiom,
% 2.13/0.67 class_Ring__and__Field_Oordered__idom(t_b)).
% 2.13/0.67 cnf(c1, plain,
% 2.13/0.67 class_Ring__and__Field_Oordered__idom(t_b),
% 2.13/0.67 inference(start, [], [c0])).
% 2.13/0.67
% 2.13/0.67 cnf(c2, axiom,
% 2.13/0.67 c_HOL_Oabs(c_times(X0,X1,X2),X2) = c_times(c_HOL_Oabs(X0,X2),c_HOL_Oabs(X1,X2),X2) | ~class_Ring__and__Field_Oordered__idom(X2)).
% 2.13/0.67 cnf(a0, assumption,
% 2.13/0.67 t_b = X2).
% 2.13/0.67 cnf(c3, plain,
% 2.13/0.67 $false,
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 2.13/0.67 cnf(c4, plain,
% 2.13/0.67 c_HOL_Oabs(c_times(X0,X1,X2),X2) = c_times(c_HOL_Oabs(X0,X2),c_HOL_Oabs(X1,X2),X2),
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 2.13/0.67
% 2.13/0.67 cnf(c5, axiom,
% 2.13/0.67 c_lessequals(c_times(X3,X4,X5),c_times(X6,X7,X5),X5) | ~c_lessequals(c_0,X6,X5) | ~c_lessequals(c_0,X4,X5) | ~c_lessequals(X3,X6,X5) | ~c_lessequals(X4,X7,X5) | ~class_Ring__and__Field_Opordered__semiring(X5)).
% 2.13/0.67 cnf(a1, assumption,
% 2.13/0.67 c_times(X3,X4,X5) = c_times(c_HOL_Oabs(X0,X2),c_HOL_Oabs(X1,X2),X2)).
% 2.13/0.67 cnf(a2, assumption,
% 2.13/0.67 c_HOL_Oabs(c_times(X0,X1,X2),X2) = X8).
% 2.13/0.67 cnf(c6, plain,
% 2.13/0.67 $false,
% 2.13/0.67 inference(strict_subterm_extension, [assumptions([a1, a2])], [c4, c5])).
% 2.13/0.67 cnf(c7, plain,
% 2.13/0.67 ~c_lessequals(c_0,X6,X5) | ~c_lessequals(c_0,X4,X5) | ~c_lessequals(X3,X6,X5) | ~c_lessequals(X4,X7,X5) | ~class_Ring__and__Field_Opordered__semiring(X5),
% 2.13/0.67 inference(strict_subterm_extension, [assumptions([a1, a2])], [c4, c5])).
% 2.13/0.67 cnf(c8, plain,
% 2.13/0.67 c_lessequals(X8,c_times(X6,X7,X5),X5),
% 2.13/0.67 inference(strict_subterm_extension, [assumptions([a1, a2])], [c4, c5])).
% 2.13/0.67
% 2.13/0.67 cnf(c9, axiom,
% 2.13/0.67 c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)).
% 2.13/0.67 cnf(a3, assumption,
% 2.13/0.67 c_times(X6,X7,X5) = c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)).
% 2.13/0.67 cnf(c10, plain,
% 2.13/0.67 $false,
% 2.13/0.67 inference(strict_function_extension, [assumptions([a3])], [c8, c9])).
% 2.13/0.67 cnf(c11, plain,
% 2.13/0.67 $false,
% 2.13/0.67 inference(strict_function_extension, [assumptions([a3])], [c8, c9])).
% 2.13/0.67 cnf(c12, plain,
% 2.13/0.67 X9 != c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) | c_lessequals(X8,X9,X5),
% 2.13/0.67 inference(strict_function_extension, [assumptions([a3])], [c8, c9])).
% 2.13/0.67
% 2.13/0.67 cnf(a4, assumption,
% 2.13/0.67 X9 = c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b)).
% 2.13/0.67 cnf(c13, plain,
% 2.13/0.67 c_lessequals(X8,X9,X5),
% 2.13/0.67 inference(reflexivity, [assumptions([a4])], [c12])).
% 2.13/0.67
% 2.13/0.67 cnf(c14, axiom,
% 2.13/0.67 ~c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)).
% 2.13/0.67 cnf(a5, assumption,
% 2.13/0.67 X8 = c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b)).
% 2.13/0.67 cnf(a6, assumption,
% 2.13/0.67 X9 = c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b)).
% 2.13/0.67 cnf(a7, assumption,
% 2.13/0.67 X5 = t_b).
% 2.13/0.67 cnf(c15, plain,
% 2.13/0.67 $false,
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c13, c14])).
% 2.13/0.67 cnf(c16, plain,
% 2.13/0.67 $false,
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c13, c14])).
% 2.13/0.67
% 2.13/0.67 cnf(c17, axiom,
% 2.13/0.67 c_lessequals(c_0,c_times(X10,X11,X12),X12) | ~c_lessequals(c_0,X10,X12) | ~c_lessequals(c_0,X11,X12) | ~class_Ring__and__Field_Opordered__cancel__semiring(X12)).
% 2.13/0.67 cnf(a8, assumption,
% 2.13/0.67 c_0 = c_0).
% 2.13/0.67 cnf(a9, assumption,
% 2.13/0.67 X6 = c_times(X10,X11,X12)).
% 2.13/0.67 cnf(a10, assumption,
% 2.13/0.67 X5 = X12).
% 2.13/0.67 cnf(c18, plain,
% 2.13/0.67 ~c_lessequals(c_0,X4,X5) | ~c_lessequals(X3,X6,X5) | ~c_lessequals(X4,X7,X5) | ~class_Ring__and__Field_Opordered__semiring(X5),
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c7, c17])).
% 2.13/0.67 cnf(c19, plain,
% 2.13/0.67 ~c_lessequals(c_0,X10,X12) | ~c_lessequals(c_0,X11,X12) | ~class_Ring__and__Field_Opordered__cancel__semiring(X12),
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c7, c17])).
% 2.13/0.67
% 2.13/0.67 cnf(c20, axiom,
% 2.13/0.67 c_lessequals(X13,X14,X15) | ~c_less(X13,X14,X15) | ~class_Orderings_Oorder(X15)).
% 2.13/0.67 cnf(a11, assumption,
% 2.13/0.67 c_0 = X13).
% 2.13/0.67 cnf(a12, assumption,
% 2.13/0.67 X10 = X14).
% 2.13/0.67 cnf(a13, assumption,
% 2.13/0.67 X12 = X15).
% 2.13/0.67 cnf(c21, plain,
% 2.13/0.67 ~c_lessequals(c_0,X11,X12) | ~class_Ring__and__Field_Opordered__cancel__semiring(X12),
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c19, c20])).
% 2.13/0.67 cnf(c22, plain,
% 2.13/0.67 ~c_less(X13,X14,X15) | ~class_Orderings_Oorder(X15),
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c19, c20])).
% 2.13/0.67
% 2.13/0.67 cnf(c23, axiom,
% 2.13/0.67 c_less(c_0,v_c,t_b)).
% 2.13/0.67 cnf(a14, assumption,
% 2.13/0.67 X13 = c_0).
% 2.13/0.67 cnf(a15, assumption,
% 2.13/0.67 X14 = v_c).
% 2.13/0.67 cnf(a16, assumption,
% 2.13/0.67 X15 = t_b).
% 2.13/0.67 cnf(c24, plain,
% 2.13/0.67 ~class_Orderings_Oorder(X15),
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c22, c23])).
% 2.13/0.67 cnf(c25, plain,
% 2.13/0.67 $false,
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c22, c23])).
% 2.13/0.67
% 2.13/0.67 cnf(c26, axiom,
% 2.13/0.67 class_Orderings_Oorder(X16) | ~class_OrderedGroup_Olordered__ab__group__abs(X16)).
% 2.13/0.67 cnf(a17, assumption,
% 2.13/0.67 X15 = X16).
% 2.13/0.67 cnf(c27, plain,
% 2.13/0.67 $false,
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a17])], [c24, c26])).
% 2.13/0.67 cnf(c28, plain,
% 2.13/0.67 ~class_OrderedGroup_Olordered__ab__group__abs(X16),
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a17])], [c24, c26])).
% 2.13/0.67
% 2.13/0.67 cnf(c29, axiom,
% 2.13/0.67 class_OrderedGroup_Olordered__ab__group__abs(X17) | ~class_Ring__and__Field_Oordered__idom(X17)).
% 2.13/0.67 cnf(a18, assumption,
% 2.13/0.67 X16 = X17).
% 2.13/0.67 cnf(c30, plain,
% 2.13/0.67 $false,
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a18])], [c28, c29])).
% 2.13/0.67 cnf(c31, plain,
% 2.13/0.67 ~class_Ring__and__Field_Oordered__idom(X17),
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a18])], [c28, c29])).
% 2.13/0.67
% 2.13/0.67 cnf(c32, plain,
% 2.13/0.67 class_Ring__and__Field_Oordered__idom(t_b)).
% 2.13/0.67 cnf(a19, assumption,
% 2.13/0.67 X17 = t_b).
% 2.13/0.67 cnf(c33, plain,
% 2.13/0.67 $false,
% 2.13/0.67 inference(predicate_reduction, [assumptions([a19])], [c31, c32])).
% 2.13/0.67
% 2.13/0.67 cnf(c34, axiom,
% 2.13/0.67 c_lessequals(c_0,c_HOL_Oabs(X18,X19),X19) | ~class_OrderedGroup_Olordered__ab__group__abs(X19)).
% 2.13/0.67 cnf(a20, assumption,
% 2.13/0.67 c_0 = c_0).
% 2.13/0.67 cnf(a21, assumption,
% 2.13/0.67 X11 = c_HOL_Oabs(X18,X19)).
% 2.13/0.67 cnf(a22, assumption,
% 2.13/0.67 X12 = X19).
% 2.13/0.67 cnf(c35, plain,
% 2.13/0.67 ~class_Ring__and__Field_Opordered__cancel__semiring(X12),
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a20, a21, a22])], [c21, c34])).
% 2.13/0.67 cnf(c36, plain,
% 2.13/0.67 ~class_OrderedGroup_Olordered__ab__group__abs(X19),
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a20, a21, a22])], [c21, c34])).
% 2.13/0.67
% 2.13/0.67 cnf(c37, plain,
% 2.13/0.67 class_OrderedGroup_Olordered__ab__group__abs(X16)).
% 2.13/0.67 cnf(a23, assumption,
% 2.13/0.67 X19 = X16).
% 2.13/0.67 cnf(c38, plain,
% 2.13/0.67 $false,
% 2.13/0.67 inference(predicate_reduction, [assumptions([a23])], [c36, c37])).
% 2.13/0.67
% 2.13/0.67 cnf(c39, axiom,
% 2.13/0.67 class_Ring__and__Field_Opordered__cancel__semiring(X20) | ~class_Ring__and__Field_Oordered__idom(X20)).
% 2.13/0.67 cnf(a24, assumption,
% 2.13/0.67 X12 = X20).
% 2.13/0.67 cnf(c40, plain,
% 2.13/0.67 $false,
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a24])], [c35, c39])).
% 2.13/0.67 cnf(c41, plain,
% 2.13/0.67 ~class_Ring__and__Field_Oordered__idom(X20),
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a24])], [c35, c39])).
% 2.13/0.67
% 2.13/0.67 cnf(c42, plain,
% 2.13/0.67 class_Ring__and__Field_Oordered__idom(t_b)).
% 2.13/0.67 cnf(a25, assumption,
% 2.13/0.67 X20 = t_b).
% 2.13/0.67 cnf(c43, plain,
% 2.13/0.67 $false,
% 2.13/0.67 inference(predicate_reduction, [assumptions([a25])], [c41, c42])).
% 2.13/0.67
% 2.13/0.67 cnf(c44, axiom,
% 2.13/0.67 c_lessequals(c_0,c_HOL_Oabs(X21,X22),X22) | ~class_OrderedGroup_Olordered__ab__group__abs(X22)).
% 2.13/0.67 cnf(a26, assumption,
% 2.13/0.67 c_0 = c_0).
% 2.13/0.67 cnf(a27, assumption,
% 2.13/0.67 X4 = c_HOL_Oabs(X21,X22)).
% 2.13/0.67 cnf(a28, assumption,
% 2.13/0.67 X5 = X22).
% 2.13/0.67 cnf(c45, plain,
% 2.13/0.67 ~c_lessequals(X3,X6,X5) | ~c_lessequals(X4,X7,X5) | ~class_Ring__and__Field_Opordered__semiring(X5),
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a26, a27, a28])], [c18, c44])).
% 2.13/0.67 cnf(c46, plain,
% 2.13/0.67 ~class_OrderedGroup_Olordered__ab__group__abs(X22),
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a26, a27, a28])], [c18, c44])).
% 2.13/0.67
% 2.13/0.67 cnf(c47, plain,
% 2.13/0.67 class_OrderedGroup_Olordered__ab__group__abs(X16)).
% 2.13/0.67 cnf(a29, assumption,
% 2.13/0.67 X22 = X16).
% 2.13/0.67 cnf(c48, plain,
% 2.13/0.67 $false,
% 2.13/0.67 inference(predicate_reduction, [assumptions([a29])], [c46, c47])).
% 2.13/0.67
% 2.13/0.67 cnf(c49, axiom,
% 2.13/0.67 c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)).
% 2.13/0.67 cnf(a30, assumption,
% 2.13/0.67 X3 = c_HOL_Oabs(v_a(v_x),t_b)).
% 2.13/0.67 cnf(a31, assumption,
% 2.13/0.67 X6 = c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b)).
% 2.13/0.67 cnf(a32, assumption,
% 2.13/0.67 X5 = t_b).
% 2.13/0.67 cnf(c50, plain,
% 2.13/0.67 ~c_lessequals(X4,X7,X5) | ~class_Ring__and__Field_Opordered__semiring(X5),
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c45, c49])).
% 2.13/0.67 cnf(c51, plain,
% 2.13/0.67 $false,
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c45, c49])).
% 2.13/0.67
% 2.13/0.67 cnf(c52, axiom,
% 2.13/0.67 c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)).
% 2.13/0.67 cnf(a33, assumption,
% 2.13/0.67 X4 = c_HOL_Oabs(v_b(v_x),t_b)).
% 2.13/0.67 cnf(a34, assumption,
% 2.13/0.67 X7 = c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b)).
% 2.13/0.67 cnf(a35, assumption,
% 2.13/0.67 X5 = t_b).
% 2.13/0.67 cnf(c53, plain,
% 2.13/0.67 ~class_Ring__and__Field_Opordered__semiring(X5),
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c50, c52])).
% 2.13/0.67 cnf(c54, plain,
% 2.13/0.67 $false,
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c50, c52])).
% 2.13/0.67
% 2.13/0.67 cnf(c55, axiom,
% 2.13/0.67 class_Ring__and__Field_Opordered__semiring(X23) | ~class_Ring__and__Field_Oordered__idom(X23)).
% 2.13/0.67 cnf(a36, assumption,
% 2.13/0.67 X5 = X23).
% 2.13/0.67 cnf(c56, plain,
% 2.13/0.67 $false,
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a36])], [c53, c55])).
% 2.13/0.67 cnf(c57, plain,
% 2.13/0.67 ~class_Ring__and__Field_Oordered__idom(X23),
% 2.13/0.67 inference(strict_predicate_extension, [assumptions([a36])], [c53, c55])).
% 2.13/0.67
% 2.13/0.67 cnf(c58, plain,
% 2.13/0.67 class_Ring__and__Field_Oordered__idom(t_b)).
% 2.13/0.67 cnf(a37, assumption,
% 2.13/0.67 X23 = t_b).
% 2.13/0.67 cnf(c59, plain,
% 2.13/0.67 $false,
% 2.13/0.67 inference(predicate_reduction, [assumptions([a37])], [c57, c58])).
% 2.13/0.67
% 2.13/0.67 cnf(c60, plain,
% 2.13/0.67 $false,
% 2.13/0.67 inference(constraint_solving, [
% 2.13/0.67 bind(X0, v_a(v_x)),
% 2.13/0.67 bind(X1, v_b(v_x)),
% 2.13/0.67 bind(X2, t_b),
% 2.13/0.67 bind(X3, c_HOL_Oabs(X0,X2)),
% 2.13/0.67 bind(X4, c_HOL_Oabs(X1,X2)),
% 2.13/0.67 bind(X5, t_b),
% 2.13/0.67 bind(X6, c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b)),
% 2.13/0.67 bind(X7, c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b)),
% 2.13/0.67 bind(X8, c_HOL_Oabs(c_times(X0,X1,X2),X2)),
% 2.13/0.67 bind(X9, c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b)),
% 2.13/0.67 bind(X10, v_c),
% 2.13/0.67 bind(X11, c_HOL_Oabs(v_f(v_x),t_b)),
% 2.13/0.67 bind(X12, t_b),
% 2.13/0.67 bind(X13, c_0),
% 2.13/0.67 bind(X14, v_c),
% 2.13/0.67 bind(X15, t_b),
% 2.13/0.67 bind(X16, t_b),
% 2.13/0.67 bind(X17, t_b),
% 2.13/0.67 bind(X18, v_f(v_x)),
% 2.13/0.67 bind(X19, t_b),
% 2.13/0.67 bind(X20, t_b),
% 2.13/0.67 bind(X21, v_b(v_x)),
% 2.13/0.67 bind(X22, t_b),
% 2.13/0.67 bind(X23, t_b)
% 2.13/0.67 ],
% 2.13/0.67 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27, a28, a29, a30, a31, a32, a33, a34, a35, a36, a37])).
% 2.13/0.67
% 2.13/0.67 % SZS output end IncompleteProof
%------------------------------------------------------------------------------