TSTP Solution File: ANA016-2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : ANA016-2 : 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 : n009.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 19:08:32 EDT 2022
% Result : Unsatisfiable 6.02s 1.11s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA016-2 : 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 : n009.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 02:41:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 6.02/1.11 % SZS status Unsatisfiable
% 6.02/1.11 % SZS output begin IncompleteProof
% 6.02/1.11 cnf(c0, axiom,
% 6.02/1.11 v_g(v_x) != c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a)).
% 6.02/1.11 cnf(c1, plain,
% 6.02/1.11 v_g(v_x) != c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a),
% 6.02/1.11 inference(start, [], [c0])).
% 6.02/1.11
% 6.02/1.11 cnf(c2, axiom,
% 6.02/1.11 c_times(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_times(X1,X3,X2),X2) | ~class_OrderedGroup_Osemigroup__mult(X2)).
% 6.02/1.11 cnf(a0, assumption,
% 6.02/1.11 c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a) = c_times(X0,c_times(X1,X3,X2),X2)).
% 6.02/1.11 cnf(c3, plain,
% 6.02/1.11 $false,
% 6.02/1.11 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 6.02/1.11 cnf(c4, plain,
% 6.02/1.11 ~class_OrderedGroup_Osemigroup__mult(X2),
% 6.02/1.11 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 6.02/1.11 cnf(c5, plain,
% 6.02/1.11 X4 != c_times(c_times(X0,X1,X2),X3,X2) | v_g(v_x) != X4,
% 6.02/1.11 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 6.02/1.11
% 6.02/1.11 cnf(c6, axiom,
% 6.02/1.11 c_1 = c_times(X5,c_HOL_Oinverse(X5,X6),X6) | c_0 = X5 | ~class_Ring__and__Field_Ofield(X6)).
% 6.02/1.11 cnf(a1, assumption,
% 6.02/1.11 c_times(X0,X1,X2) = c_times(X5,c_HOL_Oinverse(X5,X6),X6)).
% 6.02/1.11 cnf(c7, plain,
% 6.02/1.11 v_g(v_x) != X4,
% 6.02/1.11 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 6.02/1.11 cnf(c8, plain,
% 6.02/1.11 c_0 = X5 | ~class_Ring__and__Field_Ofield(X6),
% 6.02/1.11 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 6.02/1.11 cnf(c9, plain,
% 6.02/1.11 X7 != c_1 | X4 != c_times(X7,X3,X2),
% 6.02/1.11 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 6.02/1.11
% 6.02/1.11 cnf(a2, assumption,
% 6.02/1.11 X7 = c_1).
% 6.02/1.11 cnf(c10, plain,
% 6.02/1.11 X4 != c_times(X7,X3,X2),
% 6.02/1.11 inference(reflexivity, [assumptions([a2])], [c9])).
% 6.02/1.11
% 6.02/1.11 cnf(c11, axiom,
% 6.02/1.11 c_times(c_1,X8,X9) = X8 | ~class_OrderedGroup_Omonoid__mult(X9)).
% 6.02/1.11 cnf(a3, assumption,
% 6.02/1.11 c_times(X7,X3,X2) = c_times(c_1,X8,X9)).
% 6.02/1.11 cnf(c12, plain,
% 6.02/1.11 $false,
% 6.02/1.11 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 6.02/1.11 cnf(c13, plain,
% 6.02/1.11 ~class_OrderedGroup_Omonoid__mult(X9),
% 6.02/1.11 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 6.02/1.11 cnf(c14, plain,
% 6.02/1.11 X10 != X8 | X4 != X10,
% 6.02/1.11 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 6.02/1.11
% 6.02/1.11 cnf(a4, assumption,
% 6.02/1.11 X10 = X8).
% 6.02/1.11 cnf(c15, plain,
% 6.02/1.11 X4 != X10,
% 6.02/1.11 inference(reflexivity, [assumptions([a4])], [c14])).
% 6.02/1.11
% 6.02/1.11 cnf(a5, assumption,
% 6.02/1.11 X4 = X10).
% 6.02/1.11 cnf(c16, plain,
% 6.02/1.11 $false,
% 6.02/1.11 inference(reflexivity, [assumptions([a5])], [c15])).
% 6.02/1.11
% 6.02/1.11 cnf(c17, axiom,
% 6.02/1.11 class_OrderedGroup_Omonoid__mult(X11) | ~class_Ring__and__Field_Ofield(X11)).
% 6.02/1.11 cnf(a6, assumption,
% 6.02/1.11 X9 = X11).
% 6.02/1.11 cnf(c18, plain,
% 6.02/1.11 $false,
% 6.02/1.11 inference(strict_predicate_extension, [assumptions([a6])], [c13, c17])).
% 6.02/1.11 cnf(c19, plain,
% 6.02/1.11 ~class_Ring__and__Field_Ofield(X11),
% 6.02/1.11 inference(strict_predicate_extension, [assumptions([a6])], [c13, c17])).
% 6.02/1.11
% 6.02/1.11 cnf(c20, axiom,
% 6.02/1.11 class_Ring__and__Field_Ofield(X12) | ~class_Ring__and__Field_Oordered__field(X12)).
% 6.02/1.11 cnf(a7, assumption,
% 6.02/1.11 X11 = X12).
% 6.02/1.11 cnf(c21, plain,
% 6.02/1.11 $false,
% 6.02/1.11 inference(strict_predicate_extension, [assumptions([a7])], [c19, c20])).
% 6.02/1.11 cnf(c22, plain,
% 6.02/1.11 ~class_Ring__and__Field_Oordered__field(X12),
% 6.02/1.11 inference(strict_predicate_extension, [assumptions([a7])], [c19, c20])).
% 6.02/1.11
% 6.02/1.11 cnf(c23, axiom,
% 6.02/1.11 class_Ring__and__Field_Oordered__field(t_a)).
% 6.02/1.11 cnf(a8, assumption,
% 6.02/1.11 X12 = t_a).
% 6.02/1.11 cnf(c24, plain,
% 6.02/1.11 $false,
% 6.02/1.11 inference(strict_predicate_extension, [assumptions([a8])], [c22, c23])).
% 6.02/1.11 cnf(c25, plain,
% 6.02/1.11 $false,
% 6.02/1.11 inference(strict_predicate_extension, [assumptions([a8])], [c22, c23])).
% 6.02/1.11
% 6.02/1.11 cnf(c26, axiom,
% 6.02/1.11 v_c != c_0).
% 6.02/1.11 cnf(a9, assumption,
% 6.02/1.11 c_0 = c_0).
% 6.02/1.11 cnf(c27, plain,
% 6.02/1.11 ~class_Ring__and__Field_Ofield(X6),
% 6.02/1.11 inference(strict_subterm_extension, [assumptions([a9])], [c8, c26])).
% 6.02/1.11 cnf(c28, plain,
% 6.02/1.11 $false,
% 6.02/1.11 inference(strict_subterm_extension, [assumptions([a9])], [c8, c26])).
% 6.02/1.11 cnf(c29, plain,
% 6.02/1.11 v_c != X5,
% 6.02/1.11 inference(strict_subterm_extension, [assumptions([a9])], [c8, c26])).
% 6.02/1.11
% 6.02/1.11 cnf(a10, assumption,
% 6.02/1.11 v_c = X5).
% 6.02/1.11 cnf(c30, plain,
% 6.02/1.11 $false,
% 6.02/1.11 inference(reflexivity, [assumptions([a10])], [c29])).
% 6.02/1.11
% 6.02/1.11 cnf(c31, plain,
% 6.02/1.11 class_Ring__and__Field_Ofield(X11)).
% 6.02/1.11 cnf(a11, assumption,
% 6.02/1.11 X6 = X11).
% 6.02/1.11 cnf(c32, plain,
% 6.02/1.11 $false,
% 6.02/1.11 inference(predicate_reduction, [assumptions([a11])], [c27, c31])).
% 6.02/1.11
% 6.02/1.11 cnf(a12, assumption,
% 6.02/1.11 v_g(v_x) = X4).
% 6.02/1.11 cnf(c33, plain,
% 6.02/1.11 $false,
% 6.02/1.11 inference(reflexivity, [assumptions([a12])], [c7])).
% 6.02/1.11
% 6.02/1.11 cnf(c34, axiom,
% 6.02/1.11 class_OrderedGroup_Osemigroup__mult(X13) | ~class_Ring__and__Field_Ofield(X13)).
% 6.02/1.11 cnf(a13, assumption,
% 6.02/1.11 X2 = X13).
% 6.02/1.11 cnf(c35, plain,
% 6.02/1.11 $false,
% 6.02/1.11 inference(strict_predicate_extension, [assumptions([a13])], [c4, c34])).
% 6.02/1.11 cnf(c36, plain,
% 6.02/1.11 ~class_Ring__and__Field_Ofield(X13),
% 6.02/1.11 inference(strict_predicate_extension, [assumptions([a13])], [c4, c34])).
% 6.02/1.11
% 6.02/1.11 cnf(c37, plain,
% 6.02/1.11 class_Ring__and__Field_Ofield(X11)).
% 6.02/1.11 cnf(a14, assumption,
% 6.02/1.11 X13 = X11).
% 6.02/1.11 cnf(c38, plain,
% 6.02/1.11 $false,
% 6.02/1.11 inference(predicate_reduction, [assumptions([a14])], [c36, c37])).
% 6.02/1.11
% 6.02/1.11 cnf(c39, plain,
% 6.02/1.11 $false,
% 6.02/1.11 inference(constraint_solving, [
% 6.02/1.11 bind(X0, v_c),
% 6.02/1.11 bind(X1, c_HOL_Oinverse(v_c,t_a)),
% 6.02/1.11 bind(X2, t_a),
% 6.02/1.11 bind(X3, v_g(v_x)),
% 6.02/1.11 bind(X4, v_g(v_x)),
% 6.02/1.11 bind(X5, v_c),
% 6.02/1.11 bind(X6, t_a),
% 6.02/1.11 bind(X7, c_1),
% 6.02/1.11 bind(X8, v_g(v_x)),
% 6.02/1.11 bind(X9, t_a),
% 6.02/1.11 bind(X10, v_g(v_x)),
% 6.02/1.11 bind(X11, t_a),
% 6.02/1.11 bind(X12, t_a),
% 6.02/1.11 bind(X13, t_a)
% 6.02/1.11 ],
% 6.02/1.11 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])).
% 6.02/1.11
% 6.02/1.11 % SZS output end IncompleteProof
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