TSTP Solution File: ANA020-2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : ANA020-2 : 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 : n008.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 19:08:35 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : ANA020-2 : 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 : n008.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 06:16:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % SZS status Unsatisfiable
% 0.12/0.35 % SZS output begin IncompleteProof
% 0.12/0.35 cnf(c0, axiom,
% 0.12/0.35 c_0 = v_x).
% 0.12/0.35 cnf(c1, plain,
% 0.12/0.35 c_0 = v_x,
% 0.12/0.35 inference(start, [], [c0])).
% 0.12/0.35
% 0.12/0.35 cnf(c2, axiom,
% 0.12/0.35 ~c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a)).
% 0.12/0.35 cnf(a0, assumption,
% 0.12/0.35 v_x = v_x).
% 0.12/0.35 cnf(a1, assumption,
% 0.12/0.35 c_0 = X0).
% 0.12/0.35 cnf(c3, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.12/0.35 cnf(c4, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.12/0.35 cnf(c5, plain,
% 0.12/0.35 ~c_lessequals(c_HOL_Oabs(v_f(X0),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
% 0.12/0.35 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.12/0.35
% 0.12/0.35 cnf(c6, axiom,
% 0.12/0.35 c_0 = v_f(c_0)).
% 0.12/0.35 cnf(a2, assumption,
% 0.12/0.35 v_f(X0) = v_f(c_0)).
% 0.12/0.35 cnf(c7, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_function_extension, [assumptions([a2])], [c5, c6])).
% 0.12/0.35 cnf(c8, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_function_extension, [assumptions([a2])], [c5, c6])).
% 0.12/0.35 cnf(c9, plain,
% 0.12/0.35 X1 != c_0 | ~c_lessequals(c_HOL_Oabs(X1,t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
% 0.12/0.35 inference(strict_function_extension, [assumptions([a2])], [c5, c6])).
% 0.12/0.35
% 0.12/0.35 cnf(a3, assumption,
% 0.12/0.35 X1 = c_0).
% 0.12/0.35 cnf(c10, plain,
% 0.12/0.35 ~c_lessequals(c_HOL_Oabs(X1,t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
% 0.12/0.35 inference(reflexivity, [assumptions([a3])], [c9])).
% 0.12/0.35
% 0.12/0.35 cnf(c11, axiom,
% 0.12/0.35 c_0 = c_HOL_Oabs(c_0,X2) | ~class_OrderedGroup_Olordered__ab__group__abs(X2)).
% 0.12/0.35 cnf(a4, assumption,
% 0.12/0.35 c_HOL_Oabs(X1,t_a) = c_HOL_Oabs(c_0,X2)).
% 0.12/0.35 cnf(c12, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_function_extension, [assumptions([a4])], [c10, c11])).
% 0.12/0.35 cnf(c13, plain,
% 0.12/0.35 ~class_OrderedGroup_Olordered__ab__group__abs(X2),
% 0.12/0.35 inference(strict_function_extension, [assumptions([a4])], [c10, c11])).
% 0.12/0.35 cnf(c14, plain,
% 0.12/0.35 X3 != c_0 | ~c_lessequals(X3,c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
% 0.12/0.35 inference(strict_function_extension, [assumptions([a4])], [c10, c11])).
% 0.12/0.35
% 0.12/0.35 cnf(a5, assumption,
% 0.12/0.35 X3 = c_0).
% 0.12/0.35 cnf(c15, plain,
% 0.12/0.35 ~c_lessequals(X3,c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
% 0.12/0.35 inference(reflexivity, [assumptions([a5])], [c14])).
% 0.12/0.35
% 0.12/0.35 cnf(c16, axiom,
% 0.12/0.35 c_lessequals(c_0,c_times(X4,X5,X6),X6) | ~c_lessequals(c_0,X4,X6) | ~c_lessequals(c_0,X5,X6) | ~class_Ring__and__Field_Opordered__cancel__semiring(X6)).
% 0.12/0.35 cnf(a6, assumption,
% 0.12/0.35 X3 = c_0).
% 0.12/0.35 cnf(a7, assumption,
% 0.12/0.35 c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a) = c_times(X4,X5,X6)).
% 0.12/0.35 cnf(a8, assumption,
% 0.12/0.35 t_a = X6).
% 0.12/0.35 cnf(c17, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c15, c16])).
% 0.12/0.35 cnf(c18, plain,
% 0.12/0.35 ~c_lessequals(c_0,X4,X6) | ~c_lessequals(c_0,X5,X6) | ~class_Ring__and__Field_Opordered__cancel__semiring(X6),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c15, c16])).
% 0.12/0.35
% 0.12/0.35 cnf(c19, axiom,
% 0.12/0.35 c_lessequals(X7,X8,X9) | ~c_less(X7,X8,X9) | ~class_Orderings_Oorder(X9)).
% 0.12/0.35 cnf(a9, assumption,
% 0.12/0.35 c_0 = X7).
% 0.12/0.35 cnf(a10, assumption,
% 0.12/0.35 X4 = X8).
% 0.12/0.35 cnf(a11, assumption,
% 0.12/0.35 X6 = X9).
% 0.12/0.35 cnf(c20, plain,
% 0.12/0.35 ~c_lessequals(c_0,X5,X6) | ~class_Ring__and__Field_Opordered__cancel__semiring(X6),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c18, c19])).
% 0.12/0.35 cnf(c21, plain,
% 0.12/0.35 ~c_less(X7,X8,X9) | ~class_Orderings_Oorder(X9),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c18, c19])).
% 0.12/0.35
% 0.12/0.35 cnf(c22, axiom,
% 0.12/0.35 c_less(c_0,v_c,t_a)).
% 0.12/0.35 cnf(a12, assumption,
% 0.12/0.35 X7 = c_0).
% 0.12/0.35 cnf(a13, assumption,
% 0.12/0.35 X8 = v_c).
% 0.12/0.35 cnf(a14, assumption,
% 0.12/0.35 X9 = t_a).
% 0.12/0.35 cnf(c23, plain,
% 0.12/0.35 ~class_Orderings_Oorder(X9),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c21, c22])).
% 0.12/0.35 cnf(c24, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c21, c22])).
% 0.12/0.35
% 0.12/0.35 cnf(c25, axiom,
% 0.12/0.35 class_Orderings_Oorder(X10) | ~class_Ring__and__Field_Oordered__idom(X10)).
% 0.12/0.35 cnf(a15, assumption,
% 0.12/0.35 X9 = X10).
% 0.12/0.35 cnf(c26, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a15])], [c23, c25])).
% 0.12/0.35 cnf(c27, plain,
% 0.12/0.35 ~class_Ring__and__Field_Oordered__idom(X10),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a15])], [c23, c25])).
% 0.12/0.35
% 0.12/0.35 cnf(c28, axiom,
% 0.12/0.35 class_Ring__and__Field_Oordered__idom(t_a)).
% 0.12/0.35 cnf(a16, assumption,
% 0.12/0.35 X10 = t_a).
% 0.12/0.35 cnf(c29, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a16])], [c27, c28])).
% 0.12/0.35 cnf(c30, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a16])], [c27, c28])).
% 0.12/0.35
% 0.12/0.35 cnf(c31, axiom,
% 0.12/0.35 c_lessequals(c_0,c_HOL_Oabs(X11,X12),X12) | ~class_OrderedGroup_Olordered__ab__group__abs(X12)).
% 0.12/0.35 cnf(a17, assumption,
% 0.12/0.35 c_0 = c_0).
% 0.12/0.35 cnf(a18, assumption,
% 0.12/0.35 X5 = c_HOL_Oabs(X11,X12)).
% 0.12/0.35 cnf(a19, assumption,
% 0.12/0.35 X6 = X12).
% 0.12/0.35 cnf(c32, plain,
% 0.12/0.35 ~class_Ring__and__Field_Opordered__cancel__semiring(X6),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a17, a18, a19])], [c20, c31])).
% 0.12/0.35 cnf(c33, plain,
% 0.12/0.35 ~class_OrderedGroup_Olordered__ab__group__abs(X12),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a17, a18, a19])], [c20, c31])).
% 0.12/0.35
% 0.12/0.35 cnf(c34, axiom,
% 0.12/0.35 class_OrderedGroup_Olordered__ab__group__abs(X13) | ~class_Ring__and__Field_Oordered__idom(X13)).
% 0.12/0.35 cnf(a20, assumption,
% 0.12/0.35 X12 = X13).
% 0.12/0.35 cnf(c35, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a20])], [c33, c34])).
% 0.12/0.35 cnf(c36, plain,
% 0.12/0.35 ~class_Ring__and__Field_Oordered__idom(X13),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a20])], [c33, c34])).
% 0.12/0.35
% 0.12/0.35 cnf(c37, plain,
% 0.12/0.35 class_Ring__and__Field_Oordered__idom(X10)).
% 0.12/0.35 cnf(a21, assumption,
% 0.12/0.35 X13 = X10).
% 0.12/0.35 cnf(c38, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(predicate_reduction, [assumptions([a21])], [c36, c37])).
% 0.12/0.35
% 0.12/0.35 cnf(c39, axiom,
% 0.12/0.35 class_Ring__and__Field_Opordered__cancel__semiring(X14) | ~class_Ring__and__Field_Oordered__idom(X14)).
% 0.12/0.35 cnf(a22, assumption,
% 0.12/0.35 X6 = X14).
% 0.12/0.35 cnf(c40, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a22])], [c32, c39])).
% 0.12/0.35 cnf(c41, plain,
% 0.12/0.35 ~class_Ring__and__Field_Oordered__idom(X14),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a22])], [c32, c39])).
% 0.12/0.35
% 0.12/0.35 cnf(c42, plain,
% 0.12/0.35 class_Ring__and__Field_Oordered__idom(X10)).
% 0.12/0.35 cnf(a23, assumption,
% 0.12/0.35 X14 = X10).
% 0.12/0.35 cnf(c43, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(predicate_reduction, [assumptions([a23])], [c41, c42])).
% 0.12/0.35
% 0.12/0.35 cnf(c44, plain,
% 0.12/0.35 class_OrderedGroup_Olordered__ab__group__abs(X12)).
% 0.12/0.35 cnf(a24, assumption,
% 0.12/0.35 X2 = X12).
% 0.12/0.35 cnf(c45, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(predicate_reduction, [assumptions([a24])], [c13, c44])).
% 0.12/0.35
% 0.12/0.35 cnf(c46, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(constraint_solving, [
% 0.12/0.35 bind(X0, c_0),
% 0.12/0.35 bind(X1, c_0),
% 0.12/0.35 bind(X2, t_a),
% 0.12/0.35 bind(X3, c_0),
% 0.12/0.35 bind(X4, v_c),
% 0.12/0.35 bind(X5, c_HOL_Oabs(v_h(v_x),t_a)),
% 0.12/0.35 bind(X6, t_a),
% 0.12/0.35 bind(X7, c_0),
% 0.12/0.35 bind(X8, v_c),
% 0.12/0.35 bind(X9, t_a),
% 0.12/0.35 bind(X10, t_a),
% 0.12/0.35 bind(X11, v_h(v_x)),
% 0.12/0.35 bind(X12, t_a),
% 0.12/0.35 bind(X13, t_a),
% 0.12/0.35 bind(X14, t_a)
% 0.12/0.35 ],
% 0.12/0.35 [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])).
% 0.12/0.35
% 0.12/0.35 % SZS output end IncompleteProof
%------------------------------------------------------------------------------