TSTP Solution File: RNG086+1 by lazyCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : RNG086+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 : 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 : Mon Jul 18 20:33:31 EDT 2022

% Result   : Theorem 240.52s 31.79s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : RNG086+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
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon May 30 10:42:27 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 240.52/31.79  % SZS status Theorem
% 240.52/31.79  % SZS output begin IncompleteProof
% 240.52/31.79  cnf(c0, axiom,
% 240.52/31.79  	sdtpldt0(X0,X1) != xx | ~aElementOf0(X1,xJ) | ~aElementOf0(X0,xI)).
% 240.52/31.79  cnf(c1, plain,
% 240.52/31.79  	sdtpldt0(X0,X1) != xx | ~aElementOf0(X1,xJ) | ~aElementOf0(X0,xI),
% 240.52/31.79  	inference(start, [], [c0])).
% 240.52/31.79  
% 240.52/31.79  cnf(c2, axiom,
% 240.52/31.79  	sdtpldt0(sK15(X2,X3,X4),sK16(X2,X3,X4)) = X2 | ~sP1(X2,X3,X4)).
% 240.52/31.79  cnf(a0, assumption,
% 240.52/31.79  	sdtpldt0(X0,X1) = sdtpldt0(sK15(X2,X3,X4),sK16(X2,X3,X4))).
% 240.52/31.79  cnf(c3, plain,
% 240.52/31.79  	~aElementOf0(X1,xJ) | ~aElementOf0(X0,xI),
% 240.52/31.79  	inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 240.52/31.79  cnf(c4, plain,
% 240.52/31.79  	~sP1(X2,X3,X4),
% 240.52/31.79  	inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 240.52/31.79  cnf(c5, plain,
% 240.52/31.79  	X5 != X2 | X5 != xx,
% 240.52/31.79  	inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 240.52/31.79  
% 240.52/31.79  cnf(a1, assumption,
% 240.52/31.79  	X5 = X2).
% 240.52/31.79  cnf(c6, plain,
% 240.52/31.79  	X5 != xx,
% 240.52/31.79  	inference(reflexivity, [assumptions([a1])], [c5])).
% 240.52/31.79  
% 240.52/31.79  cnf(a2, assumption,
% 240.52/31.79  	X5 = xx).
% 240.52/31.79  cnf(c7, plain,
% 240.52/31.79  	$false,
% 240.52/31.79  	inference(reflexivity, [assumptions([a2])], [c6])).
% 240.52/31.79  
% 240.52/31.79  cnf(c8, axiom,
% 240.52/31.79  	sP1(X6,X7,X8) | ~aElementOf0(X6,X9) | ~sP2(X8,X7,X9)).
% 240.52/31.79  cnf(a3, assumption,
% 240.52/31.79  	X2 = X6).
% 240.52/31.79  cnf(a4, assumption,
% 240.52/31.79  	X3 = X7).
% 240.52/31.79  cnf(a5, assumption,
% 240.52/31.79  	X4 = X8).
% 240.52/31.79  cnf(c9, plain,
% 240.52/31.79  	$false,
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])).
% 240.52/31.79  cnf(c10, plain,
% 240.52/31.79  	~aElementOf0(X6,X9) | ~sP2(X8,X7,X9),
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])).
% 240.52/31.79  
% 240.52/31.79  cnf(c11, axiom,
% 240.52/31.79  	aElementOf0(xx,sdtpldt1(xI,xJ))).
% 240.52/31.79  cnf(a6, assumption,
% 240.52/31.79  	X6 = xx).
% 240.52/31.79  cnf(a7, assumption,
% 240.52/31.79  	X9 = sdtpldt1(xI,xJ)).
% 240.52/31.79  cnf(c12, plain,
% 240.52/31.79  	~sP2(X8,X7,X9),
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 240.52/31.79  cnf(c13, plain,
% 240.52/31.79  	$false,
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 240.52/31.79  
% 240.52/31.79  cnf(c14, axiom,
% 240.52/31.79  	sP2(X10,X11,X12) | ~sP3(X12,X11,X10)).
% 240.52/31.79  cnf(a8, assumption,
% 240.52/31.79  	X8 = X10).
% 240.52/31.79  cnf(a9, assumption,
% 240.52/31.79  	X7 = X11).
% 240.52/31.79  cnf(a10, assumption,
% 240.52/31.79  	X9 = X12).
% 240.52/31.79  cnf(c15, plain,
% 240.52/31.79  	$false,
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c12, c14])).
% 240.52/31.79  cnf(c16, plain,
% 240.52/31.79  	~sP3(X12,X11,X10),
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c12, c14])).
% 240.52/31.79  
% 240.52/31.79  cnf(c17, axiom,
% 240.52/31.79  	sP3(sdtpldt1(X13,X14),X14,X13) | ~sP4(X13,X14)).
% 240.52/31.79  cnf(a11, assumption,
% 240.52/31.79  	X12 = sdtpldt1(X13,X14)).
% 240.52/31.79  cnf(a12, assumption,
% 240.52/31.79  	X11 = X14).
% 240.52/31.79  cnf(a13, assumption,
% 240.52/31.79  	X10 = X13).
% 240.52/31.79  cnf(c18, plain,
% 240.52/31.79  	$false,
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c16, c17])).
% 240.52/31.79  cnf(c19, plain,
% 240.52/31.79  	~sP4(X13,X14),
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c16, c17])).
% 240.52/31.79  
% 240.52/31.79  cnf(c20, axiom,
% 240.52/31.79  	sP4(X15,X16) | ~aSet0(X16) | ~aSet0(X15)).
% 240.52/31.79  cnf(a14, assumption,
% 240.52/31.79  	X13 = X15).
% 240.52/31.79  cnf(a15, assumption,
% 240.52/31.79  	X14 = X16).
% 240.52/31.79  cnf(c21, plain,
% 240.52/31.79  	$false,
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a14, a15])], [c19, c20])).
% 240.52/31.79  cnf(c22, plain,
% 240.52/31.79  	~aSet0(X16) | ~aSet0(X15),
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a14, a15])], [c19, c20])).
% 240.52/31.79  
% 240.52/31.79  cnf(c23, axiom,
% 240.52/31.79  	aSet0(X17) | ~sP11(X17)).
% 240.52/31.79  cnf(a16, assumption,
% 240.52/31.79  	X16 = X17).
% 240.52/31.79  cnf(c24, plain,
% 240.52/31.79  	~aSet0(X15),
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a16])], [c22, c23])).
% 240.52/31.79  cnf(c25, plain,
% 240.52/31.79  	~sP11(X17),
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a16])], [c22, c23])).
% 240.52/31.79  
% 240.52/31.79  cnf(c26, axiom,
% 240.52/31.79  	sP11(X18) | ~aIdeal0(X18)).
% 240.52/31.79  cnf(a17, assumption,
% 240.52/31.79  	X17 = X18).
% 240.52/31.79  cnf(c27, plain,
% 240.52/31.79  	$false,
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a17])], [c25, c26])).
% 240.52/31.79  cnf(c28, plain,
% 240.52/31.79  	~aIdeal0(X18),
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a17])], [c25, c26])).
% 240.52/31.79  
% 240.52/31.79  cnf(c29, axiom,
% 240.52/31.79  	aIdeal0(xJ)).
% 240.52/31.79  cnf(a18, assumption,
% 240.52/31.79  	X18 = xJ).
% 240.52/31.79  cnf(c30, plain,
% 240.52/31.79  	$false,
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a18])], [c28, c29])).
% 240.52/31.79  cnf(c31, plain,
% 240.52/31.79  	$false,
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a18])], [c28, c29])).
% 240.52/31.79  
% 240.52/31.79  cnf(c32, axiom,
% 240.52/31.79  	aSet0(X19) | ~sP11(X19)).
% 240.52/31.79  cnf(a19, assumption,
% 240.52/31.79  	X15 = X19).
% 240.52/31.79  cnf(c33, plain,
% 240.52/31.79  	$false,
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a19])], [c24, c32])).
% 240.52/31.79  cnf(c34, plain,
% 240.52/31.79  	~sP11(X19),
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a19])], [c24, c32])).
% 240.52/31.79  
% 240.52/31.79  cnf(c35, axiom,
% 240.52/31.79  	sP11(X20) | ~aIdeal0(X20)).
% 240.52/31.79  cnf(a20, assumption,
% 240.52/31.79  	X19 = X20).
% 240.52/31.79  cnf(c36, plain,
% 240.52/31.79  	$false,
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a20])], [c34, c35])).
% 240.52/31.79  cnf(c37, plain,
% 240.52/31.79  	~aIdeal0(X20),
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a20])], [c34, c35])).
% 240.52/31.79  
% 240.52/31.79  cnf(c38, axiom,
% 240.52/31.79  	aIdeal0(xI)).
% 240.52/31.79  cnf(a21, assumption,
% 240.52/31.79  	X20 = xI).
% 240.52/31.79  cnf(c39, plain,
% 240.52/31.79  	$false,
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a21])], [c37, c38])).
% 240.52/31.79  cnf(c40, plain,
% 240.52/31.79  	$false,
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a21])], [c37, c38])).
% 240.52/31.79  
% 240.52/31.79  cnf(c41, axiom,
% 240.52/31.79  	aElementOf0(sK16(X21,X22,X23),X22) | ~sP1(X21,X22,X23)).
% 240.52/31.79  cnf(a22, assumption,
% 240.52/31.79  	X1 = sK16(X21,X22,X23)).
% 240.52/31.79  cnf(a23, assumption,
% 240.52/31.79  	xJ = X22).
% 240.52/31.79  cnf(c42, plain,
% 240.52/31.79  	~aElementOf0(X0,xI),
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a22, a23])], [c3, c41])).
% 240.52/31.79  cnf(c43, plain,
% 240.52/31.79  	~sP1(X21,X22,X23),
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a22, a23])], [c3, c41])).
% 240.52/31.79  
% 240.52/31.79  cnf(c44, plain,
% 240.52/31.79  	sP1(X2,X3,X4)).
% 240.52/31.79  cnf(a24, assumption,
% 240.52/31.79  	X21 = X2).
% 240.52/31.79  cnf(a25, assumption,
% 240.52/31.79  	X22 = X3).
% 240.52/31.79  cnf(a26, assumption,
% 240.52/31.79  	X23 = X4).
% 240.52/31.79  cnf(c45, plain,
% 240.52/31.79  	$false,
% 240.52/31.79  	inference(predicate_reduction, [assumptions([a24, a25, a26])], [c43, c44])).
% 240.52/31.79  
% 240.52/31.79  cnf(c46, axiom,
% 240.52/31.79  	aElementOf0(sK15(X24,X25,X26),X26) | ~sP1(X24,X25,X26)).
% 240.52/31.79  cnf(a27, assumption,
% 240.52/31.79  	X0 = sK15(X24,X25,X26)).
% 240.52/31.79  cnf(a28, assumption,
% 240.52/31.79  	xI = X26).
% 240.52/31.79  cnf(c47, plain,
% 240.52/31.79  	$false,
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a27, a28])], [c42, c46])).
% 240.52/31.79  cnf(c48, plain,
% 240.52/31.79  	~sP1(X24,X25,X26),
% 240.52/31.79  	inference(strict_predicate_extension, [assumptions([a27, a28])], [c42, c46])).
% 240.52/31.79  
% 240.52/31.79  cnf(c49, plain,
% 240.52/31.79  	sP1(X2,X3,X4)).
% 240.52/31.79  cnf(a29, assumption,
% 240.52/31.79  	X24 = X2).
% 240.52/31.79  cnf(a30, assumption,
% 240.52/31.79  	X25 = X3).
% 240.52/31.79  cnf(a31, assumption,
% 240.52/31.79  	X26 = X4).
% 240.52/31.79  cnf(c50, plain,
% 240.52/31.79  	$false,
% 240.52/31.79  	inference(predicate_reduction, [assumptions([a29, a30, a31])], [c48, c49])).
% 240.52/31.79  
% 240.52/31.79  cnf(c51, plain,
% 240.52/31.79  	$false,
% 240.52/31.79  	inference(constraint_solving, [
% 240.52/31.79  		bind(X0, sK15(X2,X3,X4)),
% 240.52/31.79  		bind(X1, sK16(X2,X3,X4)),
% 240.52/31.79  		bind(X2, xx),
% 240.52/31.79  		bind(X3, xJ),
% 240.52/31.79  		bind(X4, xI),
% 240.52/31.79  		bind(X5, xx),
% 240.52/31.79  		bind(X6, xx),
% 240.52/31.79  		bind(X7, xJ),
% 240.52/31.79  		bind(X8, xI),
% 240.52/31.79  		bind(X9, sdtpldt1(xI,xJ)),
% 240.52/31.79  		bind(X10, xI),
% 240.52/31.79  		bind(X11, xJ),
% 240.52/31.79  		bind(X12, sdtpldt1(xI,xJ)),
% 240.52/31.79  		bind(X13, xI),
% 240.52/31.79  		bind(X14, xJ),
% 240.52/31.79  		bind(X15, xI),
% 240.52/31.79  		bind(X16, xJ),
% 240.52/31.79  		bind(X17, xJ),
% 240.52/31.79  		bind(X18, xJ),
% 240.52/31.79  		bind(X19, xI),
% 240.52/31.79  		bind(X20, xI),
% 240.52/31.79  		bind(X21, xx),
% 240.52/31.79  		bind(X22, xJ),
% 240.52/31.79  		bind(X23, xI),
% 240.52/31.79  		bind(X24, xx),
% 240.52/31.79  		bind(X25, xJ),
% 240.52/31.79  		bind(X26, xI)
% 240.52/31.79  	],
% 240.52/31.79  	[a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27, a28, a29, a30, a31])).
% 240.52/31.79  
% 240.52/31.79  % SZS output end IncompleteProof
%------------------------------------------------------------------------------