TSTP Solution File: ANA015-2 by lazyCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : ANA015-2 : 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 : n013.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 19:08:31 EDT 2022
% Result : Unsatisfiable 56.78s 7.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : ANA015-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 06:06:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 56.78/7.45 % SZS status Unsatisfiable
% 56.78/7.45 % SZS output begin IncompleteProof
% 56.78/7.45 cnf(c0, axiom,
% 56.78/7.45 class_Ring__and__Field_Oordered__field(t_a)).
% 56.78/7.45 cnf(c1, plain,
% 56.78/7.45 class_Ring__and__Field_Oordered__field(t_a),
% 56.78/7.45 inference(start, [], [c0])).
% 56.78/7.45
% 56.78/7.45 cnf(c2, axiom,
% 56.78/7.45 class_Ring__and__Field_Oordered__idom(X0) | ~class_Ring__and__Field_Oordered__field(X0)).
% 56.78/7.45 cnf(a0, assumption,
% 56.78/7.45 t_a = X0).
% 56.78/7.45 cnf(c3, plain,
% 56.78/7.45 $false,
% 56.78/7.45 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 56.78/7.45 cnf(c4, plain,
% 56.78/7.45 class_Ring__and__Field_Oordered__idom(X0),
% 56.78/7.45 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 56.78/7.45
% 56.78/7.45 cnf(c5, axiom,
% 56.78/7.45 c_HOL_Oabs(c_times(X1,X2,X3),X3) = c_times(c_HOL_Oabs(X1,X3),c_HOL_Oabs(X2,X3),X3) | ~class_Ring__and__Field_Oordered__idom(X3)).
% 56.78/7.45 cnf(a1, assumption,
% 56.78/7.45 X0 = X3).
% 56.78/7.45 cnf(c6, plain,
% 56.78/7.45 $false,
% 56.78/7.45 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 56.78/7.45 cnf(c7, plain,
% 56.78/7.45 c_HOL_Oabs(c_times(X1,X2,X3),X3) = c_times(c_HOL_Oabs(X1,X3),c_HOL_Oabs(X2,X3),X3),
% 56.78/7.45 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 56.78/7.45
% 56.78/7.45 cnf(c8, axiom,
% 56.78/7.45 c_lessequals(c_times(X4,X5,X6),c_times(X4,X7,X6),X6) | ~c_lessequals(c_0,X4,X6) | ~c_lessequals(X5,X7,X6) | ~class_Ring__and__Field_Opordered__semiring(X6)).
% 56.78/7.45 cnf(a2, assumption,
% 56.78/7.45 c_times(X4,X5,X6) = c_times(c_HOL_Oabs(X1,X3),c_HOL_Oabs(X2,X3),X3)).
% 56.78/7.45 cnf(a3, assumption,
% 56.78/7.45 c_HOL_Oabs(c_times(X1,X2,X3),X3) = X8).
% 56.78/7.45 cnf(c9, plain,
% 56.78/7.45 $false,
% 56.78/7.45 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])).
% 56.78/7.45 cnf(c10, plain,
% 56.78/7.45 ~c_lessequals(c_0,X4,X6) | ~c_lessequals(X5,X7,X6) | ~class_Ring__and__Field_Opordered__semiring(X6),
% 56.78/7.45 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])).
% 56.78/7.45 cnf(c11, plain,
% 56.78/7.45 c_lessequals(X8,c_times(X4,X7,X6),X6),
% 56.78/7.45 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])).
% 56.78/7.45
% 56.78/7.45 cnf(c12, axiom,
% 56.78/7.45 ~c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(X9)),t_a),t_a),c_times(X9,c_HOL_Oabs(v_f(v_x(X9)),t_a),t_a),t_a)).
% 56.78/7.45 cnf(a4, assumption,
% 56.78/7.45 X10 = X8).
% 56.78/7.45 cnf(a5, assumption,
% 56.78/7.45 X11 = c_times(X4,X7,X6)).
% 56.78/7.45 cnf(a6, assumption,
% 56.78/7.45 X12 = X6).
% 56.78/7.45 cnf(c13, plain,
% 56.78/7.45 $false,
% 56.78/7.45 inference(lazy_predicate_extension, [assumptions([a4, a5, a6])], [c11, c12])).
% 56.78/7.45 cnf(c14, plain,
% 56.78/7.45 $false,
% 56.78/7.45 inference(lazy_predicate_extension, [assumptions([a4, a5, a6])], [c11, c12])).
% 56.78/7.45 cnf(c15, plain,
% 56.78/7.45 c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(X9)),t_a),t_a) != X10 | c_times(X9,c_HOL_Oabs(v_f(v_x(X9)),t_a),t_a) != X11 | t_a != X12,
% 56.78/7.45 inference(lazy_predicate_extension, [assumptions([a4, a5, a6])], [c11, c12])).
% 56.78/7.45
% 56.78/7.45 cnf(a7, assumption,
% 56.78/7.45 c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(X9)),t_a),t_a) = X10).
% 56.78/7.45 cnf(c16, plain,
% 56.78/7.45 c_times(X9,c_HOL_Oabs(v_f(v_x(X9)),t_a),t_a) != X11 | t_a != X12,
% 56.78/7.45 inference(reflexivity, [assumptions([a7])], [c15])).
% 56.78/7.45
% 56.78/7.45 cnf(c17, axiom,
% 56.78/7.45 c_times(c_times(X13,X14,X15),X16,X15) = c_times(X13,c_times(X14,X16,X15),X15) | ~class_OrderedGroup_Osemigroup__mult(X15)).
% 56.78/7.45 cnf(a8, assumption,
% 56.78/7.45 c_times(X9,c_HOL_Oabs(v_f(v_x(X9)),t_a),t_a) = c_times(c_times(X13,X14,X15),X16,X15)).
% 56.78/7.45 cnf(c18, plain,
% 56.78/7.45 t_a != X12,
% 56.78/7.45 inference(strict_function_extension, [assumptions([a8])], [c16, c17])).
% 56.78/7.45 cnf(c19, plain,
% 56.78/7.45 ~class_OrderedGroup_Osemigroup__mult(X15),
% 56.78/7.45 inference(strict_function_extension, [assumptions([a8])], [c16, c17])).
% 56.78/7.45 cnf(c20, plain,
% 56.78/7.45 X17 != c_times(X13,c_times(X14,X16,X15),X15) | X17 != X11,
% 56.78/7.45 inference(strict_function_extension, [assumptions([a8])], [c16, c17])).
% 56.78/7.45
% 56.78/7.45 cnf(a9, assumption,
% 56.78/7.45 X17 = c_times(X13,c_times(X14,X16,X15),X15)).
% 56.78/7.45 cnf(c21, plain,
% 56.78/7.45 X17 != X11,
% 56.78/7.45 inference(reflexivity, [assumptions([a9])], [c20])).
% 56.78/7.45
% 56.78/7.45 cnf(a10, assumption,
% 56.78/7.45 X17 = X11).
% 56.78/7.45 cnf(c22, plain,
% 56.78/7.45 $false,
% 56.78/7.45 inference(reflexivity, [assumptions([a10])], [c21])).
% 56.78/7.45
% 56.78/7.45 cnf(c23, axiom,
% 56.78/7.45 class_OrderedGroup_Osemigroup__mult(X18) | ~class_Ring__and__Field_Ofield(X18)).
% 56.78/7.45 cnf(a11, assumption,
% 56.78/7.45 X15 = X18).
% 56.78/7.45 cnf(c24, plain,
% 56.78/7.45 $false,
% 56.78/7.45 inference(strict_predicate_extension, [assumptions([a11])], [c19, c23])).
% 56.78/7.45 cnf(c25, plain,
% 56.78/7.45 ~class_Ring__and__Field_Ofield(X18),
% 56.78/7.45 inference(strict_predicate_extension, [assumptions([a11])], [c19, c23])).
% 56.78/7.45
% 56.78/7.45 cnf(c26, axiom,
% 56.78/7.45 class_Ring__and__Field_Ofield(X19) | ~class_Ring__and__Field_Oordered__field(X19)).
% 56.78/7.45 cnf(a12, assumption,
% 56.78/7.45 X18 = X19).
% 56.78/7.45 cnf(c27, plain,
% 56.78/7.45 $false,
% 56.78/7.45 inference(strict_predicate_extension, [assumptions([a12])], [c25, c26])).
% 56.78/7.45 cnf(c28, plain,
% 56.78/7.45 ~class_Ring__and__Field_Oordered__field(X19),
% 56.78/7.45 inference(strict_predicate_extension, [assumptions([a12])], [c25, c26])).
% 56.78/7.45
% 56.78/7.45 cnf(c29, plain,
% 56.78/7.45 class_Ring__and__Field_Oordered__field(t_a)).
% 56.78/7.45 cnf(a13, assumption,
% 56.78/7.45 X19 = t_a).
% 56.78/7.45 cnf(c30, plain,
% 56.78/7.45 $false,
% 56.78/7.45 inference(predicate_reduction, [assumptions([a13])], [c28, c29])).
% 56.78/7.45
% 56.78/7.45 cnf(a14, assumption,
% 56.78/7.45 t_a = X12).
% 56.78/7.45 cnf(c31, plain,
% 56.78/7.45 $false,
% 56.78/7.45 inference(reflexivity, [assumptions([a14])], [c18])).
% 56.78/7.45
% 56.78/7.45 cnf(c32, axiom,
% 56.78/7.45 c_lessequals(c_0,c_HOL_Oabs(X20,X21),X21) | ~class_OrderedGroup_Olordered__ab__group__abs(X21)).
% 56.78/7.45 cnf(a15, assumption,
% 56.78/7.45 c_0 = c_0).
% 56.78/7.45 cnf(a16, assumption,
% 56.78/7.45 X4 = c_HOL_Oabs(X20,X21)).
% 56.78/7.45 cnf(a17, assumption,
% 56.78/7.45 X6 = X21).
% 56.78/7.45 cnf(c33, plain,
% 56.78/7.45 ~c_lessequals(X5,X7,X6) | ~class_Ring__and__Field_Opordered__semiring(X6),
% 56.78/7.45 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c10, c32])).
% 56.78/7.45 cnf(c34, plain,
% 56.78/7.45 ~class_OrderedGroup_Olordered__ab__group__abs(X21),
% 56.78/7.45 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c10, c32])).
% 56.78/7.45
% 56.78/7.45 cnf(c35, axiom,
% 56.78/7.45 class_OrderedGroup_Olordered__ab__group__abs(X22) | ~class_Ring__and__Field_Oordered__field(X22)).
% 56.78/7.45 cnf(a18, assumption,
% 56.78/7.45 X21 = X22).
% 56.78/7.45 cnf(c36, plain,
% 56.78/7.45 $false,
% 56.78/7.45 inference(strict_predicate_extension, [assumptions([a18])], [c34, c35])).
% 56.78/7.45 cnf(c37, plain,
% 56.78/7.45 ~class_Ring__and__Field_Oordered__field(X22),
% 56.78/7.45 inference(strict_predicate_extension, [assumptions([a18])], [c34, c35])).
% 56.78/7.45
% 56.78/7.45 cnf(c38, plain,
% 56.78/7.45 class_Ring__and__Field_Oordered__field(t_a)).
% 56.78/7.45 cnf(a19, assumption,
% 56.78/7.45 X22 = t_a).
% 56.78/7.45 cnf(c39, plain,
% 56.78/7.45 $false,
% 56.78/7.45 inference(predicate_reduction, [assumptions([a19])], [c37, c38])).
% 56.78/7.45
% 56.78/7.45 cnf(c40, axiom,
% 56.78/7.45 c_lessequals(c_HOL_Oabs(v_g(X23),t_a),c_times(v_d,c_HOL_Oabs(v_f(X23),t_a),t_a),t_a)).
% 56.78/7.45 cnf(a20, assumption,
% 56.78/7.45 X5 = c_HOL_Oabs(v_g(X23),t_a)).
% 56.78/7.45 cnf(a21, assumption,
% 56.78/7.45 X7 = c_times(v_d,c_HOL_Oabs(v_f(X23),t_a),t_a)).
% 56.78/7.45 cnf(a22, assumption,
% 56.78/7.45 X6 = t_a).
% 56.78/7.45 cnf(c41, plain,
% 56.78/7.45 ~class_Ring__and__Field_Opordered__semiring(X6),
% 56.78/7.45 inference(strict_predicate_extension, [assumptions([a20, a21, a22])], [c33, c40])).
% 56.78/7.45 cnf(c42, plain,
% 56.78/7.45 $false,
% 56.78/7.45 inference(strict_predicate_extension, [assumptions([a20, a21, a22])], [c33, c40])).
% 56.78/7.45
% 56.78/7.45 cnf(c43, axiom,
% 56.78/7.45 class_Ring__and__Field_Opordered__semiring(X24) | ~class_Ring__and__Field_Oordered__field(X24)).
% 56.78/7.45 cnf(a23, assumption,
% 56.78/7.45 X6 = X24).
% 56.78/7.45 cnf(c44, plain,
% 56.78/7.45 $false,
% 56.78/7.45 inference(strict_predicate_extension, [assumptions([a23])], [c41, c43])).
% 56.78/7.45 cnf(c45, plain,
% 56.78/7.45 ~class_Ring__and__Field_Oordered__field(X24),
% 56.78/7.45 inference(strict_predicate_extension, [assumptions([a23])], [c41, c43])).
% 56.78/7.45
% 56.78/7.45 cnf(c46, plain,
% 56.78/7.45 class_Ring__and__Field_Oordered__field(t_a)).
% 56.78/7.45 cnf(a24, assumption,
% 56.78/7.45 X24 = t_a).
% 56.78/7.45 cnf(c47, plain,
% 56.78/7.45 $false,
% 56.78/7.45 inference(predicate_reduction, [assumptions([a24])], [c45, c46])).
% 56.78/7.45
% 56.78/7.45 cnf(c48, plain,
% 56.78/7.45 $false,
% 56.78/7.45 inference(constraint_solving, [
% 56.78/7.45 bind(X0, t_a),
% 56.78/7.45 bind(X1, c_HOL_Oinverse(v_c,t_a)),
% 56.78/7.45 bind(X2, v_g(v_x(X9))),
% 56.78/7.45 bind(X3, t_a),
% 56.78/7.45 bind(X4, c_HOL_Oabs(X1,X3)),
% 56.78/7.45 bind(X5, c_HOL_Oabs(X2,X3)),
% 56.78/7.45 bind(X6, t_a),
% 56.78/7.45 bind(X7, c_times(X14,X16,X15)),
% 56.78/7.45 bind(X8, c_HOL_Oabs(c_times(X1,X2,X3),X3)),
% 56.78/7.45 bind(X9, c_times(X13,X14,X15)),
% 56.78/7.45 bind(X10, c_HOL_Oabs(c_times(X1,X2,X3),X3)),
% 56.78/7.45 bind(X11, c_times(X4,X7,X6)),
% 56.78/7.45 bind(X12, t_a),
% 56.78/7.45 bind(X13, c_HOL_Oabs(X1,X3)),
% 56.78/7.45 bind(X14, v_d),
% 56.78/7.45 bind(X15, t_a),
% 56.78/7.45 bind(X16, c_HOL_Oabs(v_f(v_x(X9)),t_a)),
% 56.78/7.45 bind(X17, c_times(X13,c_times(X14,X16,X15),X15)),
% 56.78/7.45 bind(X18, t_a),
% 56.78/7.45 bind(X19, t_a),
% 56.78/7.45 bind(X20, c_HOL_Oinverse(v_c,t_a)),
% 56.78/7.45 bind(X21, t_a),
% 56.78/7.45 bind(X22, t_a),
% 56.78/7.45 bind(X23, v_x(X9)),
% 56.78/7.45 bind(X24, t_a)
% 56.78/7.45 ],
% 56.78/7.45 [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])).
% 56.78/7.45
% 56.78/7.45 % SZS output end IncompleteProof
%------------------------------------------------------------------------------