TSTP Solution File: RNG045+1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : RNG045+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n017.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 : Mon Jul 18 20:33:26 EDT 2022
% Result : Theorem 24.87s 3.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG045+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.34 % Computer : n017.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 May 30 07:31:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 24.87/3.58 % SZS status Theorem
% 24.87/3.58 % SZS output begin IncompleteProof
% 24.87/3.58 cnf(c0, axiom,
% 24.87/3.58 sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv)))).
% 24.87/3.58 cnf(c1, plain,
% 24.87/3.58 sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
% 24.87/3.58 inference(start, [], [c0])).
% 24.87/3.58
% 24.87/3.58 cnf(c2, axiom,
% 24.87/3.58 sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv)))).
% 24.87/3.58 cnf(a0, assumption,
% 24.87/3.58 sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))).
% 24.87/3.58 cnf(c3, plain,
% 24.87/3.58 $false,
% 24.87/3.58 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 24.87/3.58 cnf(c4, plain,
% 24.87/3.58 $false,
% 24.87/3.58 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 24.87/3.58 cnf(c5, plain,
% 24.87/3.58 X0 != sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))) | X0 != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
% 24.87/3.58 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 24.87/3.58
% 24.87/3.58 cnf(c6, axiom,
% 24.87/3.58 sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) | ~aScalar0(X3) | ~aScalar0(X2) | ~aScalar0(X1)).
% 24.87/3.58 cnf(a1, assumption,
% 24.87/3.58 sdtasdt0(xx,sdtpldt0(xu,xv)) = sdtasdt0(X1,sdtpldt0(X2,X3))).
% 24.87/3.58 cnf(c7, plain,
% 24.87/3.58 X0 != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
% 24.87/3.58 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 24.87/3.58 cnf(c8, plain,
% 24.87/3.58 ~aScalar0(X3) | ~aScalar0(X2) | ~aScalar0(X1),
% 24.87/3.58 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 24.87/3.58 cnf(c9, plain,
% 24.87/3.58 X4 != sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) | X0 != sdtpldt0(X4,sdtasdt0(xy,sdtpldt0(xu,xv))),
% 24.87/3.58 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 24.87/3.58
% 24.87/3.58 cnf(a2, assumption,
% 24.87/3.58 X4 = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))).
% 24.87/3.58 cnf(c10, plain,
% 24.87/3.58 X0 != sdtpldt0(X4,sdtasdt0(xy,sdtpldt0(xu,xv))),
% 24.87/3.58 inference(reflexivity, [assumptions([a2])], [c9])).
% 24.87/3.58
% 24.87/3.58 cnf(c11, axiom,
% 24.87/3.58 sdtasdt0(X5,sdtpldt0(X6,X7)) = sdtpldt0(sdtasdt0(X5,X6),sdtasdt0(X5,X7)) | ~aScalar0(X7) | ~aScalar0(X6) | ~aScalar0(X5)).
% 24.87/3.58 cnf(a3, assumption,
% 24.87/3.58 sdtasdt0(xy,sdtpldt0(xu,xv)) = sdtasdt0(X5,sdtpldt0(X6,X7))).
% 24.87/3.58 cnf(c12, plain,
% 24.87/3.58 $false,
% 24.87/3.58 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 24.87/3.58 cnf(c13, plain,
% 24.87/3.58 ~aScalar0(X7) | ~aScalar0(X6) | ~aScalar0(X5),
% 24.87/3.58 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 24.87/3.58 cnf(c14, plain,
% 24.87/3.58 X8 != sdtpldt0(sdtasdt0(X5,X6),sdtasdt0(X5,X7)) | X0 != sdtpldt0(X4,X8),
% 24.87/3.58 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 24.87/3.58
% 24.87/3.58 cnf(a4, assumption,
% 24.87/3.58 X8 = sdtpldt0(sdtasdt0(X5,X6),sdtasdt0(X5,X7))).
% 24.87/3.58 cnf(c15, plain,
% 24.87/3.58 X0 != sdtpldt0(X4,X8),
% 24.87/3.58 inference(reflexivity, [assumptions([a4])], [c14])).
% 24.87/3.58
% 24.87/3.58 cnf(a5, assumption,
% 24.87/3.58 X0 = sdtpldt0(X4,X8)).
% 24.87/3.58 cnf(c16, plain,
% 24.87/3.58 $false,
% 24.87/3.58 inference(reflexivity, [assumptions([a5])], [c15])).
% 24.87/3.58
% 24.87/3.58 cnf(c17, axiom,
% 24.87/3.58 aScalar0(xv)).
% 24.87/3.58 cnf(a6, assumption,
% 24.87/3.58 X7 = xv).
% 24.87/3.58 cnf(c18, plain,
% 24.87/3.58 ~aScalar0(X6) | ~aScalar0(X5),
% 24.87/3.58 inference(strict_predicate_extension, [assumptions([a6])], [c13, c17])).
% 24.87/3.58 cnf(c19, plain,
% 24.87/3.58 $false,
% 24.87/3.58 inference(strict_predicate_extension, [assumptions([a6])], [c13, c17])).
% 24.87/3.58
% 24.87/3.58 cnf(c20, axiom,
% 24.87/3.58 aScalar0(xu)).
% 24.87/3.58 cnf(a7, assumption,
% 24.87/3.58 X6 = xu).
% 24.87/3.58 cnf(c21, plain,
% 24.87/3.58 ~aScalar0(X5),
% 24.87/3.58 inference(strict_predicate_extension, [assumptions([a7])], [c18, c20])).
% 24.87/3.58 cnf(c22, plain,
% 24.87/3.58 $false,
% 24.87/3.58 inference(strict_predicate_extension, [assumptions([a7])], [c18, c20])).
% 24.87/3.58
% 24.87/3.58 cnf(c23, axiom,
% 24.87/3.58 aScalar0(xy)).
% 24.87/3.58 cnf(a8, assumption,
% 24.87/3.58 X5 = xy).
% 24.87/3.58 cnf(c24, plain,
% 24.87/3.58 $false,
% 24.87/3.58 inference(strict_predicate_extension, [assumptions([a8])], [c21, c23])).
% 24.87/3.58 cnf(c25, plain,
% 24.87/3.58 $false,
% 24.87/3.58 inference(strict_predicate_extension, [assumptions([a8])], [c21, c23])).
% 24.87/3.58
% 24.87/3.58 cnf(c26, plain,
% 24.87/3.58 aScalar0(X7)).
% 24.87/3.58 cnf(a9, assumption,
% 24.87/3.58 X3 = X7).
% 24.87/3.58 cnf(c27, plain,
% 24.87/3.58 ~aScalar0(X2) | ~aScalar0(X1),
% 24.87/3.58 inference(predicate_reduction, [assumptions([a9])], [c8, c26])).
% 24.87/3.58
% 24.87/3.58 cnf(c28, plain,
% 24.87/3.58 aScalar0(X6)).
% 24.87/3.58 cnf(a10, assumption,
% 24.87/3.58 X2 = X6).
% 24.87/3.58 cnf(c29, plain,
% 24.87/3.58 ~aScalar0(X1),
% 24.87/3.58 inference(predicate_reduction, [assumptions([a10])], [c27, c28])).
% 24.87/3.58
% 24.87/3.58 cnf(c30, axiom,
% 24.87/3.58 aScalar0(xx)).
% 24.87/3.58 cnf(a11, assumption,
% 24.87/3.58 X1 = xx).
% 24.87/3.58 cnf(c31, plain,
% 24.87/3.58 $false,
% 24.87/3.58 inference(strict_predicate_extension, [assumptions([a11])], [c29, c30])).
% 24.87/3.58 cnf(c32, plain,
% 24.87/3.58 $false,
% 24.87/3.58 inference(strict_predicate_extension, [assumptions([a11])], [c29, c30])).
% 24.87/3.58
% 24.87/3.58 cnf(a12, assumption,
% 24.87/3.58 X0 = sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv)))).
% 24.87/3.58 cnf(c33, plain,
% 24.87/3.58 $false,
% 24.87/3.58 inference(reflexivity, [assumptions([a12])], [c7])).
% 24.87/3.58
% 24.87/3.58 cnf(c34, plain,
% 24.87/3.58 $false,
% 24.87/3.58 inference(constraint_solving, [
% 24.87/3.58 bind(X0, sdtpldt0(X4,X8)),
% 24.87/3.58 bind(X1, xx),
% 24.87/3.58 bind(X2, xu),
% 24.87/3.58 bind(X3, xv),
% 24.87/3.58 bind(X4, sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))),
% 24.87/3.58 bind(X5, xy),
% 24.87/3.58 bind(X6, xu),
% 24.87/3.58 bind(X7, xv),
% 24.87/3.58 bind(X8, sdtpldt0(sdtasdt0(X5,X6),sdtasdt0(X5,X7)))
% 24.87/3.58 ],
% 24.87/3.58 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12])).
% 24.87/3.58
% 24.87/3.58 % SZS output end IncompleteProof
%------------------------------------------------------------------------------