TSTP Solution File: GRP165-1 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GRP165-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : Sat Jul 16 10:09:26 EDT 2022
% Result : Unsatisfiable 10.67s 1.72s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP165-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.34 % Computer : n009.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 : Tue Jun 14 02:33:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 10.67/1.72 % SZS status Unsatisfiable
% 10.67/1.72 % SZS output begin IncompleteProof
% 10.67/1.72 cnf(c0, axiom,
% 10.67/1.72 multiply(a,a) != least_upper_bound(a,multiply(a,a))).
% 10.67/1.72 cnf(c1, plain,
% 10.67/1.72 multiply(a,a) != least_upper_bound(a,multiply(a,a)),
% 10.67/1.72 inference(start, [], [c0])).
% 10.67/1.72
% 10.67/1.72 cnf(c2, axiom,
% 10.67/1.72 multiply(least_upper_bound(X0,X1),X2) = least_upper_bound(multiply(X0,X2),multiply(X1,X2))).
% 10.67/1.72 cnf(a0, assumption,
% 10.67/1.72 least_upper_bound(X3,X4) = least_upper_bound(a,multiply(a,a))).
% 10.67/1.72 cnf(c3, plain,
% 10.67/1.72 $false,
% 10.67/1.72 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])).
% 10.67/1.72 cnf(c4, plain,
% 10.67/1.72 $false,
% 10.67/1.72 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])).
% 10.67/1.72 cnf(c5, plain,
% 10.67/1.72 X3 != multiply(X0,X2) | X4 != multiply(X1,X2) | X5 != multiply(least_upper_bound(X0,X1),X2) | multiply(a,a) != X5,
% 10.67/1.72 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])).
% 10.67/1.72
% 10.67/1.72 cnf(c6, axiom,
% 10.67/1.72 multiply(identity,X6) = X6).
% 10.67/1.72 cnf(a1, assumption,
% 10.67/1.72 multiply(X0,X2) = multiply(identity,X6)).
% 10.67/1.72 cnf(c7, plain,
% 10.67/1.72 X4 != multiply(X1,X2) | X5 != multiply(least_upper_bound(X0,X1),X2) | multiply(a,a) != X5,
% 10.67/1.72 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 10.67/1.72 cnf(c8, plain,
% 10.67/1.72 $false,
% 10.67/1.72 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 10.67/1.72 cnf(c9, plain,
% 10.67/1.72 X7 != X6 | X3 != X7,
% 10.67/1.72 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 10.67/1.72
% 10.67/1.72 cnf(a2, assumption,
% 10.67/1.72 X7 = X6).
% 10.67/1.72 cnf(c10, plain,
% 10.67/1.72 X3 != X7,
% 10.67/1.72 inference(reflexivity, [assumptions([a2])], [c9])).
% 10.67/1.72
% 10.67/1.72 cnf(a3, assumption,
% 10.67/1.72 X3 = X7).
% 10.67/1.72 cnf(c11, plain,
% 10.67/1.72 $false,
% 10.67/1.72 inference(reflexivity, [assumptions([a3])], [c10])).
% 10.67/1.72
% 10.67/1.72 cnf(a4, assumption,
% 10.67/1.72 X4 = multiply(X1,X2)).
% 10.67/1.72 cnf(c12, plain,
% 10.67/1.72 X5 != multiply(least_upper_bound(X0,X1),X2) | multiply(a,a) != X5,
% 10.67/1.72 inference(reflexivity, [assumptions([a4])], [c7])).
% 10.67/1.72
% 10.67/1.72 cnf(c13, axiom,
% 10.67/1.72 least_upper_bound(X8,X9) = least_upper_bound(X9,X8)).
% 10.67/1.72 cnf(a5, assumption,
% 10.67/1.72 least_upper_bound(X0,X1) = least_upper_bound(X9,X8)).
% 10.67/1.72 cnf(c14, plain,
% 10.67/1.72 multiply(a,a) != X5,
% 10.67/1.72 inference(strict_function_extension, [assumptions([a5])], [c12, c13])).
% 10.67/1.72 cnf(c15, plain,
% 10.67/1.72 $false,
% 10.67/1.72 inference(strict_function_extension, [assumptions([a5])], [c12, c13])).
% 10.67/1.72 cnf(c16, plain,
% 10.67/1.72 X10 != least_upper_bound(X8,X9) | X5 != multiply(X10,X2),
% 10.67/1.72 inference(strict_function_extension, [assumptions([a5])], [c12, c13])).
% 10.67/1.72
% 10.67/1.72 cnf(c17, axiom,
% 10.67/1.72 a = least_upper_bound(a,identity)).
% 10.67/1.72 cnf(a6, assumption,
% 10.67/1.72 least_upper_bound(X8,X9) = least_upper_bound(a,identity)).
% 10.67/1.72 cnf(c18, plain,
% 10.67/1.72 X5 != multiply(X10,X2),
% 10.67/1.72 inference(strict_function_extension, [assumptions([a6])], [c16, c17])).
% 10.67/1.72 cnf(c19, plain,
% 10.67/1.72 $false,
% 10.67/1.72 inference(strict_function_extension, [assumptions([a6])], [c16, c17])).
% 10.67/1.72 cnf(c20, plain,
% 10.67/1.72 X11 != a | X10 != X11,
% 10.67/1.72 inference(strict_function_extension, [assumptions([a6])], [c16, c17])).
% 10.67/1.72
% 10.67/1.72 cnf(a7, assumption,
% 10.67/1.72 X11 = a).
% 10.67/1.72 cnf(c21, plain,
% 10.67/1.72 X10 != X11,
% 10.67/1.72 inference(reflexivity, [assumptions([a7])], [c20])).
% 10.67/1.72
% 10.67/1.72 cnf(a8, assumption,
% 10.67/1.72 X10 = X11).
% 10.67/1.72 cnf(c22, plain,
% 10.67/1.72 $false,
% 10.67/1.72 inference(reflexivity, [assumptions([a8])], [c21])).
% 10.67/1.72
% 10.67/1.72 cnf(a9, assumption,
% 10.67/1.72 X5 = multiply(X10,X2)).
% 10.67/1.72 cnf(c23, plain,
% 10.67/1.72 $false,
% 10.67/1.72 inference(reflexivity, [assumptions([a9])], [c18])).
% 10.67/1.72
% 10.67/1.72 cnf(a10, assumption,
% 10.67/1.72 multiply(a,a) = X5).
% 10.67/1.72 cnf(c24, plain,
% 10.67/1.72 $false,
% 10.67/1.72 inference(reflexivity, [assumptions([a10])], [c14])).
% 10.67/1.72
% 10.67/1.72 cnf(c25, plain,
% 10.67/1.72 $false,
% 10.67/1.72 inference(constraint_solving, [
% 10.67/1.72 bind(X0, identity),
% 10.67/1.72 bind(X1, a),
% 10.67/1.72 bind(X2, a),
% 10.67/1.72 bind(X5, multiply(X10,X2)),
% 10.67/1.72 bind(X3, a),
% 10.67/1.72 bind(X4, multiply(a,a)),
% 10.67/1.72 bind(X6, a),
% 10.67/1.72 bind(X7, a),
% 10.67/1.72 bind(X8, a),
% 10.67/1.72 bind(X9, identity),
% 10.67/1.72 bind(X10, a),
% 10.67/1.72 bind(X11, a)
% 10.67/1.72 ],
% 10.67/1.72 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10])).
% 10.67/1.72
% 10.67/1.72 % SZS output end IncompleteProof
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