TSTP Solution File: GRP022-2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GRP022-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n025.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 : Sat Jul 16 10:08:36 EDT 2022
% Result : Unsatisfiable 1.97s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP022-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 14:08:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.97/0.58 % SZS status Unsatisfiable
% 1.97/0.58 % SZS output begin IncompleteProof
% 1.97/0.58 cnf(c0, axiom,
% 1.97/0.58 a != inverse(inverse(a))).
% 1.97/0.58 cnf(c1, plain,
% 1.97/0.58 a != inverse(inverse(a)),
% 1.97/0.58 inference(start, [], [c0])).
% 1.97/0.58
% 1.97/0.58 cnf(c2, axiom,
% 1.97/0.58 multiply(identity,X0) = X0).
% 1.97/0.58 cnf(a0, assumption,
% 1.97/0.58 inverse(inverse(a)) = X0).
% 1.97/0.58 cnf(c3, plain,
% 1.97/0.58 $false,
% 1.97/0.58 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 1.97/0.58 cnf(c4, plain,
% 1.97/0.58 $false,
% 1.97/0.58 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 1.97/0.58 cnf(c5, plain,
% 1.97/0.58 multiply(identity,X0) != X1 | a != X1,
% 1.97/0.58 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 1.97/0.58
% 1.97/0.58 cnf(c6, axiom,
% 1.97/0.58 multiply(multiply(X2,X3),X4) = multiply(X2,multiply(X3,X4))).
% 1.97/0.58 cnf(a1, assumption,
% 1.97/0.58 multiply(X5,X6) = multiply(identity,X0)).
% 1.97/0.58 cnf(c7, plain,
% 1.97/0.58 a != X1,
% 1.97/0.58 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])).
% 1.97/0.58 cnf(c8, plain,
% 1.97/0.58 $false,
% 1.97/0.58 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])).
% 1.97/0.58 cnf(c9, plain,
% 1.97/0.58 X5 != multiply(X2,X3) | X6 != X4 | X7 != multiply(X2,multiply(X3,X4)) | X7 != X1,
% 1.97/0.58 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])).
% 1.97/0.58
% 1.97/0.58 cnf(c10, axiom,
% 1.97/0.58 identity = multiply(X8,inverse(X8))).
% 1.97/0.58 cnf(a2, assumption,
% 1.97/0.58 multiply(X2,X3) = multiply(X8,inverse(X8))).
% 1.97/0.58 cnf(c11, plain,
% 1.97/0.58 X6 != X4 | X7 != multiply(X2,multiply(X3,X4)) | X7 != X1,
% 1.97/0.58 inference(strict_function_extension, [assumptions([a2])], [c9, c10])).
% 1.97/0.58 cnf(c12, plain,
% 1.97/0.58 $false,
% 1.97/0.58 inference(strict_function_extension, [assumptions([a2])], [c9, c10])).
% 1.97/0.58 cnf(c13, plain,
% 1.97/0.58 X9 != identity | X5 != X9,
% 1.97/0.58 inference(strict_function_extension, [assumptions([a2])], [c9, c10])).
% 1.97/0.58
% 1.97/0.58 cnf(a3, assumption,
% 1.97/0.58 X9 = identity).
% 1.97/0.58 cnf(c14, plain,
% 1.97/0.58 X5 != X9,
% 1.97/0.58 inference(reflexivity, [assumptions([a3])], [c13])).
% 1.97/0.58
% 1.97/0.58 cnf(a4, assumption,
% 1.97/0.58 X5 = X9).
% 1.97/0.58 cnf(c15, plain,
% 1.97/0.58 $false,
% 1.97/0.58 inference(reflexivity, [assumptions([a4])], [c14])).
% 1.97/0.58
% 1.97/0.58 cnf(a5, assumption,
% 1.97/0.58 X6 = X4).
% 1.97/0.58 cnf(c16, plain,
% 1.97/0.58 X7 != multiply(X2,multiply(X3,X4)) | X7 != X1,
% 1.97/0.58 inference(reflexivity, [assumptions([a5])], [c11])).
% 1.97/0.58
% 1.97/0.58 cnf(c17, axiom,
% 1.97/0.58 identity = multiply(X10,inverse(X10))).
% 1.97/0.58 cnf(a6, assumption,
% 1.97/0.58 multiply(X3,X4) = multiply(X10,inverse(X10))).
% 1.97/0.58 cnf(c18, plain,
% 1.97/0.58 X7 != X1,
% 1.97/0.58 inference(strict_function_extension, [assumptions([a6])], [c16, c17])).
% 1.97/0.58 cnf(c19, plain,
% 1.97/0.58 $false,
% 1.97/0.58 inference(strict_function_extension, [assumptions([a6])], [c16, c17])).
% 1.97/0.58 cnf(c20, plain,
% 1.97/0.58 X11 != identity | X7 != multiply(X2,X11),
% 1.97/0.58 inference(strict_function_extension, [assumptions([a6])], [c16, c17])).
% 1.97/0.58
% 1.97/0.58 cnf(a7, assumption,
% 1.97/0.58 X11 = identity).
% 1.97/0.58 cnf(c21, plain,
% 1.97/0.58 X7 != multiply(X2,X11),
% 1.97/0.58 inference(reflexivity, [assumptions([a7])], [c20])).
% 1.97/0.58
% 1.97/0.58 cnf(c22, axiom,
% 1.97/0.58 multiply(X12,identity) = X12).
% 1.97/0.58 cnf(a8, assumption,
% 1.97/0.58 multiply(X2,X11) = multiply(X12,identity)).
% 1.97/0.58 cnf(c23, plain,
% 1.97/0.58 $false,
% 1.97/0.58 inference(strict_function_extension, [assumptions([a8])], [c21, c22])).
% 1.97/0.58 cnf(c24, plain,
% 1.97/0.58 $false,
% 1.97/0.58 inference(strict_function_extension, [assumptions([a8])], [c21, c22])).
% 1.97/0.58 cnf(c25, plain,
% 1.97/0.58 X13 != X12 | X7 != X13,
% 1.97/0.58 inference(strict_function_extension, [assumptions([a8])], [c21, c22])).
% 1.97/0.58
% 1.97/0.58 cnf(a9, assumption,
% 1.97/0.58 X13 = X12).
% 1.97/0.58 cnf(c26, plain,
% 1.97/0.58 X7 != X13,
% 1.97/0.58 inference(reflexivity, [assumptions([a9])], [c25])).
% 1.97/0.58
% 1.97/0.58 cnf(a10, assumption,
% 1.97/0.58 X7 = X13).
% 1.97/0.58 cnf(c27, plain,
% 1.97/0.58 $false,
% 1.97/0.58 inference(reflexivity, [assumptions([a10])], [c26])).
% 1.97/0.58
% 1.97/0.58 cnf(a11, assumption,
% 1.97/0.58 X7 = X1).
% 1.97/0.58 cnf(c28, plain,
% 1.97/0.58 $false,
% 1.97/0.58 inference(reflexivity, [assumptions([a11])], [c18])).
% 1.97/0.58
% 1.97/0.58 cnf(a12, assumption,
% 1.97/0.58 a = X1).
% 1.97/0.58 cnf(c29, plain,
% 1.97/0.58 $false,
% 1.97/0.58 inference(reflexivity, [assumptions([a12])], [c7])).
% 1.97/0.58
% 1.97/0.58 cnf(c30, plain,
% 1.97/0.58 $false,
% 1.97/0.58 inference(constraint_solving, [
% 1.97/0.58 bind(X0, inverse(inverse(a))),
% 1.97/0.58 bind(X1, a),
% 1.97/0.58 bind(X2, a),
% 1.97/0.58 bind(X3, inverse(X8)),
% 1.97/0.58 bind(X4, inverse(inverse(a))),
% 1.97/0.58 bind(X7, a),
% 1.97/0.58 bind(X5, identity),
% 1.97/0.58 bind(X6, inverse(inverse(a))),
% 1.97/0.58 bind(X8, a),
% 1.97/0.58 bind(X9, identity),
% 1.97/0.58 bind(X10, inverse(X8)),
% 1.97/0.58 bind(X11, identity),
% 1.97/0.58 bind(X12, a),
% 1.97/0.58 bind(X13, a)
% 1.97/0.58 ],
% 1.97/0.58 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12])).
% 1.97/0.58
% 1.97/0.58 % SZS output end IncompleteProof
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