TSTP Solution File: GRP010-4 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GRP010-4 : 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 : n018.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 10:08:33 EDT 2022
% Result : Unsatisfiable 6.86s 1.21s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP010-4 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 06:36:27 EDT 2022
% 0.14/0.34 % CPUTime :
% 6.86/1.21 % SZS status Unsatisfiable
% 6.86/1.21 % SZS output begin IncompleteProof
% 6.86/1.21 cnf(c0, axiom,
% 6.86/1.21 identity != multiply(b,c)).
% 6.86/1.21 cnf(c1, plain,
% 6.86/1.21 identity != multiply(b,c),
% 6.86/1.21 inference(start, [], [c0])).
% 6.86/1.21
% 6.86/1.21 cnf(c2, axiom,
% 6.86/1.21 multiply(identity,X0) = X0).
% 6.86/1.21 cnf(a0, assumption,
% 6.86/1.21 multiply(b,c) = X0).
% 6.86/1.21 cnf(c3, plain,
% 6.86/1.21 $false,
% 6.86/1.21 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 6.86/1.21 cnf(c4, plain,
% 6.86/1.21 $false,
% 6.86/1.21 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 6.86/1.21 cnf(c5, plain,
% 6.86/1.21 multiply(identity,X0) != X1 | identity != X1,
% 6.86/1.21 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 6.86/1.21
% 6.86/1.21 cnf(c6, axiom,
% 6.86/1.21 multiply(multiply(X2,X3),X4) = multiply(X2,multiply(X3,X4))).
% 6.86/1.21 cnf(a1, assumption,
% 6.86/1.21 multiply(X5,X6) = multiply(identity,X0)).
% 6.86/1.21 cnf(c7, plain,
% 6.86/1.21 identity != X1,
% 6.86/1.21 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])).
% 6.86/1.21 cnf(c8, plain,
% 6.86/1.21 $false,
% 6.86/1.21 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])).
% 6.86/1.21 cnf(c9, plain,
% 6.86/1.21 X5 != multiply(X2,X3) | X6 != X4 | X7 != multiply(X2,multiply(X3,X4)) | X7 != X1,
% 6.86/1.21 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])).
% 6.86/1.21
% 6.86/1.21 cnf(c10, axiom,
% 6.86/1.21 identity = multiply(inverse(X8),X8)).
% 6.86/1.21 cnf(a2, assumption,
% 6.86/1.21 multiply(X2,X3) = multiply(inverse(X8),X8)).
% 6.86/1.21 cnf(c11, plain,
% 6.86/1.21 X6 != X4 | X7 != multiply(X2,multiply(X3,X4)) | X7 != X1,
% 6.86/1.21 inference(strict_function_extension, [assumptions([a2])], [c9, c10])).
% 6.86/1.21 cnf(c12, plain,
% 6.86/1.21 $false,
% 6.86/1.21 inference(strict_function_extension, [assumptions([a2])], [c9, c10])).
% 6.86/1.21 cnf(c13, plain,
% 6.86/1.21 X9 != identity | X5 != X9,
% 6.86/1.21 inference(strict_function_extension, [assumptions([a2])], [c9, c10])).
% 6.86/1.21
% 6.86/1.21 cnf(a3, assumption,
% 6.86/1.21 X9 = identity).
% 6.86/1.21 cnf(c14, plain,
% 6.86/1.21 X5 != X9,
% 6.86/1.21 inference(reflexivity, [assumptions([a3])], [c13])).
% 6.86/1.21
% 6.86/1.21 cnf(a4, assumption,
% 6.86/1.21 X5 = X9).
% 6.86/1.21 cnf(c15, plain,
% 6.86/1.21 $false,
% 6.86/1.21 inference(reflexivity, [assumptions([a4])], [c14])).
% 6.86/1.21
% 6.86/1.21 cnf(a5, assumption,
% 6.86/1.21 X6 = X4).
% 6.86/1.21 cnf(c16, plain,
% 6.86/1.21 X7 != multiply(X2,multiply(X3,X4)) | X7 != X1,
% 6.86/1.21 inference(reflexivity, [assumptions([a5])], [c11])).
% 6.86/1.21
% 6.86/1.21 cnf(c17, axiom,
% 6.86/1.21 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))).
% 6.86/1.21 cnf(a6, assumption,
% 6.86/1.21 multiply(X3,X4) = multiply(X10,multiply(X11,X12))).
% 6.86/1.21 cnf(c18, plain,
% 6.86/1.21 X7 != X1,
% 6.86/1.21 inference(strict_function_extension, [assumptions([a6])], [c16, c17])).
% 6.86/1.21 cnf(c19, plain,
% 6.86/1.21 $false,
% 6.86/1.21 inference(strict_function_extension, [assumptions([a6])], [c16, c17])).
% 6.86/1.21 cnf(c20, plain,
% 6.86/1.21 X13 != multiply(multiply(X10,X11),X12) | X7 != multiply(X2,X13),
% 6.86/1.21 inference(strict_function_extension, [assumptions([a6])], [c16, c17])).
% 6.86/1.21
% 6.86/1.21 cnf(c21, axiom,
% 6.86/1.21 identity = multiply(c,b)).
% 6.86/1.21 cnf(a7, assumption,
% 6.86/1.21 multiply(X10,X11) = multiply(c,b)).
% 6.86/1.21 cnf(c22, plain,
% 6.86/1.21 X7 != multiply(X2,X13),
% 6.86/1.21 inference(strict_function_extension, [assumptions([a7])], [c20, c21])).
% 6.86/1.21 cnf(c23, plain,
% 6.86/1.21 $false,
% 6.86/1.21 inference(strict_function_extension, [assumptions([a7])], [c20, c21])).
% 6.86/1.21 cnf(c24, plain,
% 6.86/1.21 X14 != identity | X13 != multiply(X14,X12),
% 6.86/1.21 inference(strict_function_extension, [assumptions([a7])], [c20, c21])).
% 6.86/1.21
% 6.86/1.21 cnf(a8, assumption,
% 6.86/1.21 X14 = identity).
% 6.86/1.21 cnf(c25, plain,
% 6.86/1.21 X13 != multiply(X14,X12),
% 6.86/1.21 inference(reflexivity, [assumptions([a8])], [c24])).
% 6.86/1.21
% 6.86/1.21 cnf(c26, axiom,
% 6.86/1.21 multiply(identity,X15) = X15).
% 6.86/1.21 cnf(a9, assumption,
% 6.86/1.21 multiply(X14,X12) = multiply(identity,X15)).
% 6.86/1.21 cnf(c27, plain,
% 6.86/1.21 $false,
% 6.86/1.21 inference(strict_function_extension, [assumptions([a9])], [c25, c26])).
% 6.86/1.21 cnf(c28, plain,
% 6.86/1.21 $false,
% 6.86/1.21 inference(strict_function_extension, [assumptions([a9])], [c25, c26])).
% 6.86/1.21 cnf(c29, plain,
% 6.86/1.21 X16 != X15 | X13 != X16,
% 6.86/1.21 inference(strict_function_extension, [assumptions([a9])], [c25, c26])).
% 6.86/1.21
% 6.86/1.21 cnf(a10, assumption,
% 6.86/1.21 X16 = X15).
% 6.86/1.21 cnf(c30, plain,
% 6.86/1.21 X13 != X16,
% 6.86/1.21 inference(reflexivity, [assumptions([a10])], [c29])).
% 6.86/1.21
% 6.86/1.21 cnf(a11, assumption,
% 6.86/1.21 X13 = X16).
% 6.86/1.21 cnf(c31, plain,
% 6.86/1.21 $false,
% 6.86/1.21 inference(reflexivity, [assumptions([a11])], [c30])).
% 6.86/1.21
% 6.86/1.21 cnf(c32, plain,
% 6.86/1.21 X5 = multiply(X2,X3)).
% 6.86/1.21 cnf(a12, assumption,
% 6.86/1.21 multiply(X2,X13) = multiply(X2,X3)).
% 6.86/1.21 cnf(c33, plain,
% 6.86/1.21 $false,
% 6.86/1.21 inference(equality_reduction, [assumptions([a12])], [c22, c32])).
% 6.86/1.21 cnf(c34, plain,
% 6.86/1.21 X7 != X5,
% 6.86/1.21 inference(equality_reduction, [assumptions([a12])], [c22, c32])).
% 6.86/1.21
% 6.86/1.21 cnf(a13, assumption,
% 6.86/1.21 X7 = X5).
% 6.86/1.21 cnf(c35, plain,
% 6.86/1.21 $false,
% 6.86/1.21 inference(reflexivity, [assumptions([a13])], [c34])).
% 6.86/1.21
% 6.86/1.21 cnf(a14, assumption,
% 6.86/1.21 X7 = X1).
% 6.86/1.21 cnf(c36, plain,
% 6.86/1.21 $false,
% 6.86/1.21 inference(reflexivity, [assumptions([a14])], [c18])).
% 6.86/1.21
% 6.86/1.21 cnf(a15, assumption,
% 6.86/1.21 identity = X1).
% 6.86/1.21 cnf(c37, plain,
% 6.86/1.21 $false,
% 6.86/1.21 inference(reflexivity, [assumptions([a15])], [c7])).
% 6.86/1.21
% 6.86/1.21 cnf(c38, plain,
% 6.86/1.21 $false,
% 6.86/1.21 inference(constraint_solving, [
% 6.86/1.21 bind(X0, multiply(b,c)),
% 6.86/1.21 bind(X1, identity),
% 6.86/1.21 bind(X2, inverse(X8)),
% 6.86/1.21 bind(X3, c),
% 6.86/1.21 bind(X4, multiply(b,c)),
% 6.86/1.21 bind(X7, identity),
% 6.86/1.21 bind(X5, identity),
% 6.86/1.21 bind(X6, multiply(b,c)),
% 6.86/1.21 bind(X8, c),
% 6.86/1.21 bind(X9, identity),
% 6.86/1.21 bind(X10, c),
% 6.86/1.21 bind(X11, b),
% 6.86/1.21 bind(X12, c),
% 6.86/1.21 bind(X13, c),
% 6.86/1.21 bind(X14, identity),
% 6.86/1.21 bind(X15, c),
% 6.86/1.21 bind(X16, c)
% 6.86/1.21 ],
% 6.86/1.21 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15])).
% 6.86/1.21
% 6.86/1.21 % SZS output end IncompleteProof
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