TSTP Solution File: BOO001-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : BOO001-1 : 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 : n022.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 23:43:08 EDT 2022
% Result : Unsatisfiable 285.35s 36.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : BOO001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 1 20:08:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 285.35/36.55 % SZS status Unsatisfiable
% 285.35/36.55 % SZS output begin IncompleteProof
% 285.35/36.55 cnf(c0, axiom,
% 285.35/36.55 a != inverse(inverse(a))).
% 285.35/36.55 cnf(c1, plain,
% 285.35/36.55 a != inverse(inverse(a)),
% 285.35/36.55 inference(start, [], [c0])).
% 285.35/36.55
% 285.35/36.55 cnf(c2, axiom,
% 285.35/36.55 multiply(X0,X1,inverse(X1)) = X0).
% 285.35/36.55 cnf(a0, assumption,
% 285.35/36.55 inverse(inverse(a)) = X0).
% 285.35/36.55 cnf(c3, plain,
% 285.35/36.55 $false,
% 285.35/36.55 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 285.35/36.55 cnf(c4, plain,
% 285.35/36.55 $false,
% 285.35/36.55 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 285.35/36.55 cnf(c5, plain,
% 285.35/36.55 multiply(X0,X1,inverse(X1)) != X2 | a != X2,
% 285.35/36.55 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 285.35/36.55
% 285.35/36.55 cnf(c6, axiom,
% 285.35/36.55 multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7)) = multiply(X3,X4,multiply(X5,X6,X7))).
% 285.35/36.55 cnf(a1, assumption,
% 285.35/36.55 multiply(X8,X9,X10) = multiply(X0,X1,inverse(X1))).
% 285.35/36.55 cnf(c7, plain,
% 285.35/36.55 a != X2,
% 285.35/36.55 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])).
% 285.35/36.55 cnf(c8, plain,
% 285.35/36.55 $false,
% 285.35/36.55 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])).
% 285.35/36.55 cnf(c9, plain,
% 285.35/36.55 X8 != X3 | X9 != X4 | X10 != multiply(X5,X6,X7) | X11 != multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7)) | X11 != X2,
% 285.35/36.55 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])).
% 285.35/36.55
% 285.35/36.55 cnf(a2, assumption,
% 285.35/36.55 X8 = X3).
% 285.35/36.55 cnf(c10, plain,
% 285.35/36.55 X9 != X4 | X10 != multiply(X5,X6,X7) | X11 != multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7)) | X11 != X2,
% 285.35/36.55 inference(reflexivity, [assumptions([a2])], [c9])).
% 285.35/36.55
% 285.35/36.55 cnf(a3, assumption,
% 285.35/36.55 X9 = X4).
% 285.35/36.55 cnf(c11, plain,
% 285.35/36.55 X10 != multiply(X5,X6,X7) | X11 != multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7)) | X11 != X2,
% 285.35/36.55 inference(reflexivity, [assumptions([a3])], [c10])).
% 285.35/36.55
% 285.35/36.55 cnf(c12, axiom,
% 285.35/36.55 multiply(X12,X13,X13) = X13).
% 285.35/36.55 cnf(a4, assumption,
% 285.35/36.55 multiply(X5,X6,X7) = multiply(X12,X13,X13)).
% 285.35/36.55 cnf(c13, plain,
% 285.35/36.55 X11 != multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7)) | X11 != X2,
% 285.35/36.55 inference(strict_function_extension, [assumptions([a4])], [c11, c12])).
% 285.35/36.55 cnf(c14, plain,
% 285.35/36.55 $false,
% 285.35/36.55 inference(strict_function_extension, [assumptions([a4])], [c11, c12])).
% 285.35/36.55 cnf(c15, plain,
% 285.35/36.55 X14 != X13 | X10 != X14,
% 285.35/36.55 inference(strict_function_extension, [assumptions([a4])], [c11, c12])).
% 285.35/36.55
% 285.35/36.55 cnf(a5, assumption,
% 285.35/36.55 X14 = X13).
% 285.35/36.55 cnf(c16, plain,
% 285.35/36.55 X10 != X14,
% 285.35/36.55 inference(reflexivity, [assumptions([a5])], [c15])).
% 285.35/36.55
% 285.35/36.55 cnf(a6, assumption,
% 285.35/36.55 X10 = X14).
% 285.35/36.55 cnf(c17, plain,
% 285.35/36.55 $false,
% 285.35/36.55 inference(reflexivity, [assumptions([a6])], [c16])).
% 285.35/36.55
% 285.35/36.55 cnf(c18, plain,
% 285.35/36.55 multiply(X0,X1,inverse(X1)) = X0).
% 285.35/36.55 cnf(a7, assumption,
% 285.35/36.55 multiply(X3,X4,X7) = multiply(X0,X1,inverse(X1))).
% 285.35/36.55 cnf(c19, plain,
% 285.35/36.55 X11 != X2,
% 285.35/36.55 inference(equality_reduction, [assumptions([a7])], [c13, c18])).
% 285.35/36.55 cnf(c20, plain,
% 285.35/36.55 X11 != multiply(multiply(X3,X4,X5),X6,X0),
% 285.35/36.55 inference(equality_reduction, [assumptions([a7])], [c13, c18])).
% 285.35/36.55
% 285.35/36.55 cnf(c21, axiom,
% 285.35/36.55 multiply(X15,X16,X16) = X16).
% 285.35/36.55 cnf(a8, assumption,
% 285.35/36.55 multiply(X3,X4,X5) = multiply(X15,X16,X16)).
% 285.35/36.55 cnf(c22, plain,
% 285.35/36.55 $false,
% 285.35/36.55 inference(strict_function_extension, [assumptions([a8])], [c20, c21])).
% 285.35/36.55 cnf(c23, plain,
% 285.35/36.55 $false,
% 285.35/36.55 inference(strict_function_extension, [assumptions([a8])], [c20, c21])).
% 285.35/36.55 cnf(c24, plain,
% 285.35/36.55 X17 != X16 | X11 != multiply(X17,X6,X0),
% 285.35/36.55 inference(strict_function_extension, [assumptions([a8])], [c20, c21])).
% 285.35/36.55
% 285.35/36.55 cnf(a9, assumption,
% 285.35/36.55 X17 = X16).
% 285.35/36.55 cnf(c25, plain,
% 285.35/36.55 X11 != multiply(X17,X6,X0),
% 285.35/36.55 inference(reflexivity, [assumptions([a9])], [c24])).
% 285.35/36.55
% 285.35/36.55 cnf(c26, axiom,
% 285.35/36.55 multiply(X18,X19,inverse(X19)) = X18).
% 285.35/36.55 cnf(a10, assumption,
% 285.35/36.55 multiply(X17,X6,X0) = multiply(X18,X19,inverse(X19))).
% 285.35/36.55 cnf(c27, plain,
% 285.35/36.55 $false,
% 285.35/36.55 inference(strict_function_extension, [assumptions([a10])], [c25, c26])).
% 285.35/36.55 cnf(c28, plain,
% 285.35/36.55 $false,
% 285.35/36.55 inference(strict_function_extension, [assumptions([a10])], [c25, c26])).
% 285.35/36.55 cnf(c29, plain,
% 285.35/36.55 X20 != X18 | X11 != X20,
% 285.35/36.55 inference(strict_function_extension, [assumptions([a10])], [c25, c26])).
% 285.35/36.55
% 285.35/36.55 cnf(a11, assumption,
% 285.35/36.55 X20 = X18).
% 285.35/36.55 cnf(c30, plain,
% 285.35/36.55 X11 != X20,
% 285.35/36.55 inference(reflexivity, [assumptions([a11])], [c29])).
% 285.35/36.55
% 285.35/36.55 cnf(a12, assumption,
% 285.35/36.55 X11 = X20).
% 285.35/36.55 cnf(c31, plain,
% 285.35/36.55 $false,
% 285.35/36.55 inference(reflexivity, [assumptions([a12])], [c30])).
% 285.35/36.55
% 285.35/36.55 cnf(a13, assumption,
% 285.35/36.55 X11 = X2).
% 285.35/36.55 cnf(c32, plain,
% 285.35/36.55 $false,
% 285.35/36.55 inference(reflexivity, [assumptions([a13])], [c19])).
% 285.35/36.55
% 285.35/36.55 cnf(a14, assumption,
% 285.35/36.55 a = X2).
% 285.35/36.55 cnf(c33, plain,
% 285.35/36.55 $false,
% 285.35/36.55 inference(reflexivity, [assumptions([a14])], [c7])).
% 285.35/36.55
% 285.35/36.55 cnf(c34, plain,
% 285.35/36.55 $false,
% 285.35/36.55 inference(constraint_solving, [
% 285.35/36.55 bind(X0, inverse(inverse(a))),
% 285.35/36.55 bind(X1, a),
% 285.35/36.55 bind(X2, a),
% 285.35/36.55 bind(X3, inverse(inverse(a))),
% 285.35/36.55 bind(X4, a),
% 285.35/36.55 bind(X5, a),
% 285.35/36.55 bind(X6, inverse(X1)),
% 285.35/36.55 bind(X7, inverse(X1)),
% 285.35/36.55 bind(X11, a),
% 285.35/36.55 bind(X8, inverse(inverse(a))),
% 285.35/36.55 bind(X9, a),
% 285.35/36.55 bind(X10, inverse(X1)),
% 285.35/36.55 bind(X12, a),
% 285.35/36.55 bind(X13, inverse(X1)),
% 285.35/36.55 bind(X14, inverse(X1)),
% 285.35/36.55 bind(X15, inverse(inverse(a))),
% 285.35/36.55 bind(X16, a),
% 285.35/36.55 bind(X17, a),
% 285.35/36.55 bind(X18, a),
% 285.35/36.55 bind(X19, inverse(X1)),
% 285.35/36.55 bind(X20, a)
% 285.35/36.55 ],
% 285.35/36.55 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])).
% 285.35/36.55
% 285.35/36.55 % SZS output end IncompleteProof
%------------------------------------------------------------------------------