TSTP Solution File: RNG060+1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : RNG060+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 : n032.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 20:33:28 EDT 2022
% Result : Theorem 206.77s 26.85s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : RNG060+1 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.10 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.08/0.29 % Computer : n032.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 600
% 0.08/0.29 % DateTime : Mon May 30 07:38:42 EDT 2022
% 0.08/0.29 % CPUTime :
% 206.77/26.85 % SZS status Theorem
% 206.77/26.85 % SZS output begin IncompleteProof
% 206.77/26.85 cnf(c0, axiom,
% 206.77/26.85 sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))).
% 206.77/26.85 cnf(c1, plain,
% 206.77/26.85 sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
% 206.77/26.85 inference(start, [], [c0])).
% 206.77/26.85
% 206.77/26.85 cnf(c2, axiom,
% 206.77/26.85 sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) | ~aScalar0(X3) | ~aScalar0(X2) | ~aScalar0(X1) | ~aScalar0(X0)).
% 206.77/26.85 cnf(a0, assumption,
% 206.77/26.85 sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3))).
% 206.77/26.85 cnf(c3, plain,
% 206.77/26.85 $false,
% 206.77/26.85 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 206.77/26.85 cnf(c4, plain,
% 206.77/26.85 ~aScalar0(X3) | ~aScalar0(X2) | ~aScalar0(X1) | ~aScalar0(X0),
% 206.77/26.85 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 206.77/26.85 cnf(c5, plain,
% 206.77/26.85 X4 != sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) | X4 != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
% 206.77/26.85 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 206.77/26.85
% 206.77/26.85 cnf(c6, axiom,
% 206.77/26.85 sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS)).
% 206.77/26.85 cnf(a1, assumption,
% 206.77/26.85 sdtasdt0(X1,X3) = sdtasdt0(smndt0(xS),smndt0(xS))).
% 206.77/26.85 cnf(c7, plain,
% 206.77/26.85 X4 != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
% 206.77/26.85 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 206.77/26.85 cnf(c8, plain,
% 206.77/26.85 $false,
% 206.77/26.85 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 206.77/26.85 cnf(c9, plain,
% 206.77/26.85 X5 != sdtasdt0(xS,xS) | X4 != sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),X5)),
% 206.77/26.85 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 206.77/26.85
% 206.77/26.85 cnf(a2, assumption,
% 206.77/26.85 X5 = sdtasdt0(xS,xS)).
% 206.77/26.85 cnf(c10, plain,
% 206.77/26.85 X4 != sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),X5)),
% 206.77/26.85 inference(reflexivity, [assumptions([a2])], [c9])).
% 206.77/26.85
% 206.77/26.85 cnf(c11, axiom,
% 206.77/26.85 sdtasdt0(xR,smndt0(xS)) = smndt0(xN)).
% 206.77/26.85 cnf(a3, assumption,
% 206.77/26.85 sdtasdt0(X0,X3) = sdtasdt0(xR,smndt0(xS))).
% 206.77/26.85 cnf(c12, plain,
% 206.77/26.85 $false,
% 206.77/26.85 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 206.77/26.85 cnf(c13, plain,
% 206.77/26.85 $false,
% 206.77/26.85 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 206.77/26.85 cnf(c14, plain,
% 206.77/26.85 X6 != smndt0(xN) | X4 != sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),X6),sdtpldt0(sdtasdt0(X1,X2),X5)),
% 206.77/26.85 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 206.77/26.85
% 206.77/26.85 cnf(a4, assumption,
% 206.77/26.85 X6 = smndt0(xN)).
% 206.77/26.85 cnf(c15, plain,
% 206.77/26.85 X4 != sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),X6),sdtpldt0(sdtasdt0(X1,X2),X5)),
% 206.77/26.85 inference(reflexivity, [assumptions([a4])], [c14])).
% 206.77/26.85
% 206.77/26.85 cnf(c16, axiom,
% 206.77/26.85 smndt0(xN) = sdtasdt0(smndt0(xS),xR)).
% 206.77/26.85 cnf(a5, assumption,
% 206.77/26.85 sdtasdt0(X1,X2) = sdtasdt0(smndt0(xS),xR)).
% 206.77/26.85 cnf(c17, plain,
% 206.77/26.85 $false,
% 206.77/26.85 inference(strict_function_extension, [assumptions([a5])], [c15, c16])).
% 206.77/26.85 cnf(c18, plain,
% 206.77/26.85 $false,
% 206.77/26.85 inference(strict_function_extension, [assumptions([a5])], [c15, c16])).
% 206.77/26.85 cnf(c19, plain,
% 206.77/26.85 X7 != smndt0(xN) | X4 != sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),X6),sdtpldt0(X7,X5)),
% 206.77/26.85 inference(strict_function_extension, [assumptions([a5])], [c15, c16])).
% 206.77/26.85
% 206.77/26.85 cnf(a6, assumption,
% 206.77/26.85 X7 = smndt0(xN)).
% 206.77/26.85 cnf(c20, plain,
% 206.77/26.85 X4 != sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),X6),sdtpldt0(X7,X5)),
% 206.77/26.85 inference(reflexivity, [assumptions([a6])], [c19])).
% 206.77/26.85
% 206.77/26.85 cnf(a7, assumption,
% 206.77/26.85 X4 = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),X6),sdtpldt0(X7,X5))).
% 206.77/26.85 cnf(c21, plain,
% 206.77/26.85 $false,
% 206.77/26.85 inference(reflexivity, [assumptions([a7])], [c20])).
% 206.77/26.85
% 206.77/26.85 cnf(a8, assumption,
% 206.77/26.85 X4 = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))).
% 206.77/26.85 cnf(c22, plain,
% 206.77/26.85 $false,
% 206.77/26.85 inference(reflexivity, [assumptions([a8])], [c7])).
% 206.77/26.85
% 206.77/26.85 cnf(c23, axiom,
% 206.77/26.85 aScalar0(smndt0(X8)) | ~aScalar0(X8)).
% 206.77/26.85 cnf(a9, assumption,
% 206.77/26.85 X3 = smndt0(X8)).
% 206.77/26.85 cnf(c24, plain,
% 206.77/26.85 ~aScalar0(X2) | ~aScalar0(X1) | ~aScalar0(X0),
% 206.77/26.85 inference(strict_predicate_extension, [assumptions([a9])], [c4, c23])).
% 206.77/26.85 cnf(c25, plain,
% 206.77/26.85 ~aScalar0(X8),
% 206.77/26.85 inference(strict_predicate_extension, [assumptions([a9])], [c4, c23])).
% 206.77/26.85
% 206.77/26.85 cnf(c26, axiom,
% 206.77/26.85 aScalar0(xS)).
% 206.77/26.85 cnf(a10, assumption,
% 206.77/26.85 X8 = xS).
% 206.77/26.85 cnf(c27, plain,
% 206.77/26.85 $false,
% 206.77/26.85 inference(strict_predicate_extension, [assumptions([a10])], [c25, c26])).
% 206.77/26.85 cnf(c28, plain,
% 206.77/26.85 $false,
% 206.77/26.85 inference(strict_predicate_extension, [assumptions([a10])], [c25, c26])).
% 206.77/26.85
% 206.77/26.85 cnf(c29, axiom,
% 206.77/26.85 aScalar0(xR)).
% 206.77/26.85 cnf(a11, assumption,
% 206.77/26.85 X2 = xR).
% 206.77/26.85 cnf(c30, plain,
% 206.77/26.85 ~aScalar0(X1) | ~aScalar0(X0),
% 206.77/26.85 inference(strict_predicate_extension, [assumptions([a11])], [c24, c29])).
% 206.77/26.85 cnf(c31, plain,
% 206.77/26.85 $false,
% 206.77/26.85 inference(strict_predicate_extension, [assumptions([a11])], [c24, c29])).
% 206.77/26.85
% 206.77/26.85 cnf(c32, plain,
% 206.77/26.85 aScalar0(X3)).
% 206.77/26.85 cnf(a12, assumption,
% 206.77/26.85 X1 = X3).
% 206.77/26.85 cnf(c33, plain,
% 206.77/26.85 ~aScalar0(X0),
% 206.77/26.85 inference(predicate_reduction, [assumptions([a12])], [c30, c32])).
% 206.77/26.85
% 206.77/26.85 cnf(c34, plain,
% 206.77/26.85 aScalar0(X2)).
% 206.77/26.85 cnf(a13, assumption,
% 206.77/26.85 X0 = X2).
% 206.77/26.85 cnf(c35, plain,
% 206.77/26.85 $false,
% 206.77/26.85 inference(predicate_reduction, [assumptions([a13])], [c33, c34])).
% 206.77/26.85
% 206.77/26.85 cnf(c36, plain,
% 206.77/26.85 $false,
% 206.77/26.85 inference(constraint_solving, [
% 206.77/26.85 bind(X0, xR),
% 206.77/26.85 bind(X1, smndt0(xS)),
% 206.77/26.85 bind(X2, xR),
% 206.77/26.85 bind(X3, smndt0(xS)),
% 206.77/26.85 bind(X4, sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),X6),sdtpldt0(X7,X5))),
% 206.77/26.85 bind(X5, sdtasdt0(xS,xS)),
% 206.77/26.85 bind(X6, smndt0(xN)),
% 206.77/26.85 bind(X7, smndt0(xN)),
% 206.77/26.85 bind(X8, xS)
% 206.77/26.85 ],
% 206.77/26.85 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13])).
% 206.77/26.85
% 206.77/26.85 % SZS output end IncompleteProof
%------------------------------------------------------------------------------