TSTP Solution File: GRP206-1 by lazyCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GRP206-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n008.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 10:09:41 EDT 2022
% Result : Unsatisfiable 42.98s 5.84s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP206-1 : TPTP v8.1.0. Released v2.3.0.
% 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 : n008.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 : Mon Jun 13 15:12:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 42.98/5.84 % SZS status Unsatisfiable
% 42.98/5.84 % SZS output begin IncompleteProof
% 42.98/5.84 cnf(c0, axiom,
% 42.98/5.84 multiply(multiply(a,multiply(b,c)),a) != multiply(multiply(a,b),multiply(c,a))).
% 42.98/5.84 cnf(c1, plain,
% 42.98/5.84 multiply(multiply(a,multiply(b,c)),a) != multiply(multiply(a,b),multiply(c,a)),
% 42.98/5.84 inference(start, [], [c0])).
% 42.98/5.84
% 42.98/5.84 cnf(c2, axiom,
% 42.98/5.84 multiply(X0,multiply(multiply(X1,X2),X0)) = multiply(multiply(X0,X1),multiply(X2,X0))).
% 42.98/5.84 cnf(a0, assumption,
% 42.98/5.84 multiply(X3,X4) = multiply(multiply(a,multiply(b,c)),a)).
% 42.98/5.84 cnf(c3, plain,
% 42.98/5.84 $false,
% 42.98/5.84 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])).
% 42.98/5.84 cnf(c4, plain,
% 42.98/5.84 $false,
% 42.98/5.84 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])).
% 42.98/5.84 cnf(c5, plain,
% 42.98/5.84 X3 != multiply(X0,X1) | X4 != multiply(X2,X0) | X5 != multiply(X0,multiply(multiply(X1,X2),X0)) | X5 != multiply(multiply(a,b),multiply(c,a)),
% 42.98/5.84 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])).
% 42.98/5.84
% 42.98/5.84 cnf(a1, assumption,
% 42.98/5.84 X3 = multiply(X0,X1)).
% 42.98/5.84 cnf(c6, plain,
% 42.98/5.84 X4 != multiply(X2,X0) | X5 != multiply(X0,multiply(multiply(X1,X2),X0)) | X5 != multiply(multiply(a,b),multiply(c,a)),
% 42.98/5.84 inference(reflexivity, [assumptions([a1])], [c5])).
% 42.98/5.84
% 42.98/5.84 cnf(c7, axiom,
% 42.98/5.84 multiply(identity,X6) = X6).
% 42.98/5.84 cnf(a2, assumption,
% 42.98/5.84 multiply(X2,X0) = multiply(identity,X6)).
% 42.98/5.84 cnf(c8, plain,
% 42.98/5.84 X5 != multiply(X0,multiply(multiply(X1,X2),X0)) | X5 != multiply(multiply(a,b),multiply(c,a)),
% 42.98/5.84 inference(strict_function_extension, [assumptions([a2])], [c6, c7])).
% 42.98/5.84 cnf(c9, plain,
% 42.98/5.84 $false,
% 42.98/5.84 inference(strict_function_extension, [assumptions([a2])], [c6, c7])).
% 42.98/5.84 cnf(c10, plain,
% 42.98/5.84 X7 != X6 | X4 != X7,
% 42.98/5.84 inference(strict_function_extension, [assumptions([a2])], [c6, c7])).
% 42.98/5.84
% 42.98/5.84 cnf(a3, assumption,
% 42.98/5.84 X7 = X6).
% 42.98/5.84 cnf(c11, plain,
% 42.98/5.84 X4 != X7,
% 42.98/5.84 inference(reflexivity, [assumptions([a3])], [c10])).
% 42.98/5.84
% 42.98/5.84 cnf(a4, assumption,
% 42.98/5.84 X4 = X7).
% 42.98/5.84 cnf(c12, plain,
% 42.98/5.84 $false,
% 42.98/5.84 inference(reflexivity, [assumptions([a4])], [c11])).
% 42.98/5.84
% 42.98/5.84 cnf(c13, axiom,
% 42.98/5.84 multiply(X8,identity) = X8).
% 42.98/5.84 cnf(a5, assumption,
% 42.98/5.84 multiply(X1,X2) = multiply(X8,identity)).
% 42.98/5.84 cnf(c14, plain,
% 42.98/5.84 X5 != multiply(multiply(a,b),multiply(c,a)),
% 42.98/5.84 inference(strict_function_extension, [assumptions([a5])], [c8, c13])).
% 42.98/5.84 cnf(c15, plain,
% 42.98/5.84 $false,
% 42.98/5.84 inference(strict_function_extension, [assumptions([a5])], [c8, c13])).
% 42.98/5.84 cnf(c16, plain,
% 42.98/5.84 X9 != X8 | X5 != multiply(X0,multiply(X9,X0)),
% 42.98/5.84 inference(strict_function_extension, [assumptions([a5])], [c8, c13])).
% 42.98/5.84
% 42.98/5.84 cnf(a6, assumption,
% 42.98/5.84 X9 = X8).
% 42.98/5.84 cnf(c17, plain,
% 42.98/5.84 X5 != multiply(X0,multiply(X9,X0)),
% 42.98/5.84 inference(reflexivity, [assumptions([a6])], [c16])).
% 42.98/5.84
% 42.98/5.84 cnf(c18, axiom,
% 42.98/5.84 multiply(X10,multiply(multiply(X11,X12),X10)) = multiply(multiply(X10,X11),multiply(X12,X10))).
% 42.98/5.84 cnf(a7, assumption,
% 42.98/5.84 multiply(X0,multiply(X9,X0)) = multiply(X10,multiply(multiply(X11,X12),X10))).
% 42.98/5.84 cnf(c19, plain,
% 42.98/5.84 $false,
% 42.98/5.84 inference(strict_function_extension, [assumptions([a7])], [c17, c18])).
% 42.98/5.84 cnf(c20, plain,
% 42.98/5.84 $false,
% 42.98/5.84 inference(strict_function_extension, [assumptions([a7])], [c17, c18])).
% 42.98/5.84 cnf(c21, plain,
% 42.98/5.84 X13 != multiply(multiply(X10,X11),multiply(X12,X10)) | X5 != X13,
% 42.98/5.84 inference(strict_function_extension, [assumptions([a7])], [c17, c18])).
% 42.98/5.84
% 42.98/5.84 cnf(a8, assumption,
% 42.98/5.84 X13 = multiply(multiply(X10,X11),multiply(X12,X10))).
% 42.98/5.84 cnf(c22, plain,
% 42.98/5.84 X5 != X13,
% 42.98/5.84 inference(reflexivity, [assumptions([a8])], [c21])).
% 42.98/5.84
% 42.98/5.84 cnf(a9, assumption,
% 42.98/5.84 X5 = X13).
% 42.98/5.84 cnf(c23, plain,
% 42.98/5.84 $false,
% 42.98/5.84 inference(reflexivity, [assumptions([a9])], [c22])).
% 42.98/5.84
% 42.98/5.84 cnf(a10, assumption,
% 42.98/5.84 X5 = multiply(multiply(a,b),multiply(c,a))).
% 42.98/5.84 cnf(c24, plain,
% 42.98/5.84 $false,
% 42.98/5.84 inference(reflexivity, [assumptions([a10])], [c14])).
% 42.98/5.84
% 42.98/5.84 cnf(c25, plain,
% 42.98/5.84 $false,
% 42.98/5.84 inference(constraint_solving, [
% 42.98/5.84 bind(X0, a),
% 42.98/5.84 bind(X1, multiply(b,c)),
% 42.98/5.84 bind(X2, identity),
% 42.98/5.84 bind(X5, multiply(multiply(X10,X11),multiply(X12,X10))),
% 42.98/5.84 bind(X3, multiply(a,multiply(b,c))),
% 42.98/5.84 bind(X4, a),
% 42.98/5.84 bind(X6, a),
% 42.98/5.84 bind(X7, a),
% 42.98/5.84 bind(X8, multiply(b,c)),
% 42.98/5.84 bind(X9, multiply(b,c)),
% 42.98/5.84 bind(X10, a),
% 42.98/5.84 bind(X11, b),
% 42.98/5.84 bind(X12, c),
% 42.98/5.84 bind(X13, multiply(multiply(X10,X11),multiply(X12,X10)))
% 42.98/5.84 ],
% 42.98/5.84 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10])).
% 42.98/5.84
% 42.98/5.84 % SZS output end IncompleteProof
%------------------------------------------------------------------------------