TSTP Solution File: SYN083-1 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SYN083-1 : 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 : 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 : Thu Jul 21 08:08:00 EDT 2022
% Result : Unsatisfiable 0.13s 0.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN083-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.33 % Computer : n018.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 : Mon Jul 11 14:14:58 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % SZS status Unsatisfiable
% 0.13/0.34 % SZS output begin IncompleteProof
% 0.13/0.34 cnf(c0, axiom,
% 0.13/0.34 f(a,f(b,f(c,d))) != f(f(f(a,b),c),d)).
% 0.13/0.34 cnf(c1, plain,
% 0.13/0.34 f(a,f(b,f(c,d))) != f(f(f(a,b),c),d),
% 0.13/0.34 inference(start, [], [c0])).
% 0.13/0.34
% 0.13/0.34 cnf(c2, axiom,
% 0.13/0.34 f(X0,f(X1,X2)) = f(f(X0,X1),X2)).
% 0.13/0.34 cnf(a0, assumption,
% 0.13/0.34 f(f(a,b),c) = f(f(X0,X1),X2)).
% 0.13/0.34 cnf(c3, plain,
% 0.13/0.34 $false,
% 0.13/0.34 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.34 cnf(c4, plain,
% 0.13/0.34 $false,
% 0.13/0.34 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.34 cnf(c5, plain,
% 0.13/0.34 X3 != f(X0,f(X1,X2)) | f(a,f(b,f(c,d))) != f(X3,d),
% 0.13/0.34 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.34
% 0.13/0.34 cnf(a1, assumption,
% 0.13/0.34 X3 = f(X0,f(X1,X2))).
% 0.13/0.34 cnf(c6, plain,
% 0.13/0.34 f(a,f(b,f(c,d))) != f(X3,d),
% 0.13/0.34 inference(reflexivity, [assumptions([a1])], [c5])).
% 0.13/0.34
% 0.13/0.34 cnf(c7, axiom,
% 0.13/0.34 f(X4,f(X5,X6)) = f(f(X4,X5),X6)).
% 0.13/0.34 cnf(a2, assumption,
% 0.13/0.34 f(X3,d) = f(f(X4,X5),X6)).
% 0.13/0.34 cnf(c8, plain,
% 0.13/0.34 $false,
% 0.13/0.34 inference(strict_function_extension, [assumptions([a2])], [c6, c7])).
% 0.13/0.34 cnf(c9, plain,
% 0.13/0.34 $false,
% 0.13/0.34 inference(strict_function_extension, [assumptions([a2])], [c6, c7])).
% 0.13/0.34 cnf(c10, plain,
% 0.13/0.34 X7 != f(X4,f(X5,X6)) | f(a,f(b,f(c,d))) != X7,
% 0.13/0.34 inference(strict_function_extension, [assumptions([a2])], [c6, c7])).
% 0.13/0.34
% 0.13/0.34 cnf(c11, axiom,
% 0.13/0.34 f(X8,f(X9,X10)) = f(f(X8,X9),X10)).
% 0.13/0.34 cnf(a3, assumption,
% 0.13/0.34 f(X5,X6) = f(f(X8,X9),X10)).
% 0.13/0.34 cnf(c12, plain,
% 0.13/0.34 f(a,f(b,f(c,d))) != X7,
% 0.13/0.34 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 0.13/0.34 cnf(c13, plain,
% 0.13/0.34 $false,
% 0.13/0.34 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 0.13/0.34 cnf(c14, plain,
% 0.13/0.34 X11 != f(X8,f(X9,X10)) | X7 != f(X4,X11),
% 0.13/0.34 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 0.13/0.34
% 0.13/0.34 cnf(a4, assumption,
% 0.13/0.34 X11 = f(X8,f(X9,X10))).
% 0.13/0.34 cnf(c15, plain,
% 0.13/0.34 X7 != f(X4,X11),
% 0.13/0.34 inference(reflexivity, [assumptions([a4])], [c14])).
% 0.13/0.34
% 0.13/0.34 cnf(a5, assumption,
% 0.13/0.34 X7 = f(X4,X11)).
% 0.13/0.34 cnf(c16, plain,
% 0.13/0.34 $false,
% 0.13/0.34 inference(reflexivity, [assumptions([a5])], [c15])).
% 0.13/0.34
% 0.13/0.34 cnf(a6, assumption,
% 0.13/0.34 f(a,f(b,f(c,d))) = X7).
% 0.13/0.34 cnf(c17, plain,
% 0.13/0.34 $false,
% 0.13/0.34 inference(reflexivity, [assumptions([a6])], [c12])).
% 0.13/0.34
% 0.13/0.34 cnf(c18, plain,
% 0.13/0.34 $false,
% 0.13/0.34 inference(constraint_solving, [
% 0.13/0.34 bind(X0, a),
% 0.13/0.34 bind(X1, b),
% 0.13/0.34 bind(X2, c),
% 0.13/0.34 bind(X3, f(X0,f(X1,X2))),
% 0.13/0.34 bind(X4, a),
% 0.13/0.34 bind(X5, f(X1,X2)),
% 0.13/0.34 bind(X6, d),
% 0.13/0.34 bind(X7, f(X4,X11)),
% 0.13/0.34 bind(X8, b),
% 0.13/0.34 bind(X9, c),
% 0.13/0.34 bind(X10, d),
% 0.13/0.34 bind(X11, f(X8,f(X9,X10)))
% 0.13/0.34 ],
% 0.13/0.34 [a0, a1, a2, a3, a4, a5, a6])).
% 0.13/0.34
% 0.13/0.34 % SZS output end IncompleteProof
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