TSTP Solution File: KRS109+1 by lazyCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : KRS109+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop

% Computer : n025.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 : Sun Jul 17 03:13:01 EDT 2022

% Result   : Unsatisfiable 115.63s 15.37s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS109+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun  7 13:49:04 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 115.63/15.37  % SZS status Theorem
% 115.63/15.37  % SZS output begin IncompleteProof
% 115.63/15.37  cnf(c0, axiom,
% 115.63/15.37  	~ra_Px1(X0,X1) | ~cp(X0)).
% 115.63/15.37  cnf(c1, plain,
% 115.63/15.37  	~ra_Px1(X0,X1) | ~cp(X0),
% 115.63/15.37  	inference(start, [], [c0])).
% 115.63/15.37  
% 115.63/15.37  cnf(c2, axiom,
% 115.63/15.37  	ra_Px1(X2,sK4(X2)) | ~cpxcomp(X2)).
% 115.63/15.37  cnf(a0, assumption,
% 115.63/15.37  	X0 = X2).
% 115.63/15.37  cnf(a1, assumption,
% 115.63/15.37  	X1 = sK4(X2)).
% 115.63/15.37  cnf(c3, plain,
% 115.63/15.37  	~cp(X0),
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 115.63/15.37  cnf(c4, plain,
% 115.63/15.37  	~cpxcomp(X2),
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 115.63/15.37  
% 115.63/15.37  cnf(c5, axiom,
% 115.63/15.37  	cpxcomp(X3) | ~cUnsatisfiable(X3)).
% 115.63/15.37  cnf(a2, assumption,
% 115.63/15.37  	X2 = X3).
% 115.63/15.37  cnf(c6, plain,
% 115.63/15.37  	$false,
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a2])], [c4, c5])).
% 115.63/15.37  cnf(c7, plain,
% 115.63/15.37  	~cUnsatisfiable(X3),
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a2])], [c4, c5])).
% 115.63/15.37  
% 115.63/15.37  cnf(c8, axiom,
% 115.63/15.37  	cUnsatisfiable(i2003_11_14_17_21_08508)).
% 115.63/15.37  cnf(a3, assumption,
% 115.63/15.37  	X3 = i2003_11_14_17_21_08508).
% 115.63/15.37  cnf(c9, plain,
% 115.63/15.37  	$false,
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a3])], [c7, c8])).
% 115.63/15.37  cnf(c10, plain,
% 115.63/15.37  	$false,
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a3])], [c7, c8])).
% 115.63/15.37  
% 115.63/15.37  cnf(c11, axiom,
% 115.63/15.37  	cp(X4) | ~rinvS(X5,X4) | ~sP0(X5)).
% 115.63/15.37  cnf(a4, assumption,
% 115.63/15.37  	X0 = X4).
% 115.63/15.37  cnf(c12, plain,
% 115.63/15.37  	$false,
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a4])], [c3, c11])).
% 115.63/15.37  cnf(c13, plain,
% 115.63/15.37  	~rinvS(X5,X4) | ~sP0(X5),
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a4])], [c3, c11])).
% 115.63/15.37  
% 115.63/15.37  cnf(c14, axiom,
% 115.63/15.37  	rinvS(X6,X7) | ~rs(X7,X6)).
% 115.63/15.37  cnf(a5, assumption,
% 115.63/15.37  	X5 = X6).
% 115.63/15.37  cnf(a6, assumption,
% 115.63/15.37  	X4 = X7).
% 115.63/15.37  cnf(c15, plain,
% 115.63/15.37  	~sP0(X5),
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a5, a6])], [c13, c14])).
% 115.63/15.37  cnf(c16, plain,
% 115.63/15.37  	~rs(X7,X6),
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a5, a6])], [c13, c14])).
% 115.63/15.37  
% 115.63/15.37  cnf(c17, axiom,
% 115.63/15.37  	rs(X8,sK7(X8)) | ~ca_Vx3(X8)).
% 115.63/15.37  cnf(a7, assumption,
% 115.63/15.37  	X9 = X7).
% 115.63/15.37  cnf(a8, assumption,
% 115.63/15.37  	X10 = X6).
% 115.63/15.37  cnf(c18, plain,
% 115.63/15.37  	$false,
% 115.63/15.37  	inference(lazy_predicate_extension, [assumptions([a7, a8])], [c16, c17])).
% 115.63/15.37  cnf(c19, plain,
% 115.63/15.37  	~ca_Vx3(X8),
% 115.63/15.37  	inference(lazy_predicate_extension, [assumptions([a7, a8])], [c16, c17])).
% 115.63/15.37  cnf(c20, plain,
% 115.63/15.37  	X8 != X9 | sK7(X8) != X10,
% 115.63/15.37  	inference(lazy_predicate_extension, [assumptions([a7, a8])], [c16, c17])).
% 115.63/15.37  
% 115.63/15.37  cnf(a9, assumption,
% 115.63/15.37  	X8 = X9).
% 115.63/15.37  cnf(c21, plain,
% 115.63/15.37  	sK7(X8) != X10,
% 115.63/15.37  	inference(reflexivity, [assumptions([a9])], [c20])).
% 115.63/15.37  
% 115.63/15.37  cnf(c22, axiom,
% 115.63/15.37  	X11 = X12 | ~rf(X13,X12) | ~rf(X13,X11)).
% 115.63/15.37  cnf(a10, assumption,
% 115.63/15.37  	sK7(X8) = X12).
% 115.63/15.37  cnf(c23, plain,
% 115.63/15.37  	$false,
% 115.63/15.37  	inference(variable_extension, [assumptions([a10])], [c21, c22])).
% 115.63/15.37  cnf(c24, plain,
% 115.63/15.37  	~rf(X13,X12) | ~rf(X13,X11),
% 115.63/15.37  	inference(variable_extension, [assumptions([a10])], [c21, c22])).
% 115.63/15.37  cnf(c25, plain,
% 115.63/15.37  	X11 != X14 | X14 != X10,
% 115.63/15.37  	inference(variable_extension, [assumptions([a10])], [c21, c22])).
% 115.63/15.37  
% 115.63/15.37  cnf(a11, assumption,
% 115.63/15.37  	X11 = X14).
% 115.63/15.37  cnf(c26, plain,
% 115.63/15.37  	X14 != X10,
% 115.63/15.37  	inference(reflexivity, [assumptions([a11])], [c25])).
% 115.63/15.37  
% 115.63/15.37  cnf(a12, assumption,
% 115.63/15.37  	X14 = X10).
% 115.63/15.37  cnf(c27, plain,
% 115.63/15.37  	$false,
% 115.63/15.37  	inference(reflexivity, [assumptions([a12])], [c26])).
% 115.63/15.37  
% 115.63/15.37  cnf(c28, axiom,
% 115.63/15.37  	rf(X15,X16) | ~rs(X15,X16)).
% 115.63/15.37  cnf(a13, assumption,
% 115.63/15.37  	X13 = X15).
% 115.63/15.37  cnf(a14, assumption,
% 115.63/15.37  	X12 = X16).
% 115.63/15.37  cnf(c29, plain,
% 115.63/15.37  	~rf(X13,X11),
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a13, a14])], [c24, c28])).
% 115.63/15.37  cnf(c30, plain,
% 115.63/15.37  	~rs(X15,X16),
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a13, a14])], [c24, c28])).
% 115.63/15.37  
% 115.63/15.37  cnf(c31, plain,
% 115.63/15.37  	rs(X8,sK7(X8))).
% 115.63/15.37  cnf(a15, assumption,
% 115.63/15.37  	X15 = X8).
% 115.63/15.37  cnf(a16, assumption,
% 115.63/15.37  	X16 = sK7(X8)).
% 115.63/15.37  cnf(c32, plain,
% 115.63/15.37  	$false,
% 115.63/15.37  	inference(predicate_reduction, [assumptions([a15, a16])], [c30, c31])).
% 115.63/15.37  
% 115.63/15.37  cnf(c33, axiom,
% 115.63/15.37  	rf(X17,sK2(X17)) | ~cUnsatisfiable(X17)).
% 115.63/15.37  cnf(a17, assumption,
% 115.63/15.37  	X13 = X17).
% 115.63/15.37  cnf(a18, assumption,
% 115.63/15.37  	X11 = sK2(X17)).
% 115.63/15.37  cnf(c34, plain,
% 115.63/15.37  	$false,
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a17, a18])], [c29, c33])).
% 115.63/15.37  cnf(c35, plain,
% 115.63/15.37  	~cUnsatisfiable(X17),
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a17, a18])], [c29, c33])).
% 115.63/15.37  
% 115.63/15.37  cnf(c36, plain,
% 115.63/15.37  	cUnsatisfiable(X3)).
% 115.63/15.37  cnf(a19, assumption,
% 115.63/15.37  	X17 = X3).
% 115.63/15.37  cnf(c37, plain,
% 115.63/15.37  	$false,
% 115.63/15.37  	inference(predicate_reduction, [assumptions([a19])], [c35, c36])).
% 115.63/15.37  
% 115.63/15.37  cnf(c38, axiom,
% 115.63/15.37  	ca_Vx3(X18) | ~rinvF(X19,X18) | ~sP1(X19)).
% 115.63/15.37  cnf(a20, assumption,
% 115.63/15.37  	X8 = X18).
% 115.63/15.37  cnf(c39, plain,
% 115.63/15.37  	$false,
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a20])], [c19, c38])).
% 115.63/15.37  cnf(c40, plain,
% 115.63/15.37  	~rinvF(X19,X18) | ~sP1(X19),
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a20])], [c19, c38])).
% 115.63/15.37  
% 115.63/15.37  cnf(c41, axiom,
% 115.63/15.37  	rinvF(X20,X21) | ~rf(X21,X20)).
% 115.63/15.37  cnf(a21, assumption,
% 115.63/15.37  	X19 = X20).
% 115.63/15.37  cnf(a22, assumption,
% 115.63/15.37  	X18 = X21).
% 115.63/15.37  cnf(c42, plain,
% 115.63/15.37  	~sP1(X19),
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a21, a22])], [c40, c41])).
% 115.63/15.37  cnf(c43, plain,
% 115.63/15.37  	~rf(X21,X20),
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a21, a22])], [c40, c41])).
% 115.63/15.37  
% 115.63/15.37  cnf(c44, plain,
% 115.63/15.37  	rf(X13,X11)).
% 115.63/15.37  cnf(a23, assumption,
% 115.63/15.37  	X21 = X13).
% 115.63/15.37  cnf(a24, assumption,
% 115.63/15.37  	X20 = X11).
% 115.63/15.37  cnf(c45, plain,
% 115.63/15.37  	$false,
% 115.63/15.37  	inference(predicate_reduction, [assumptions([a23, a24])], [c43, c44])).
% 115.63/15.37  
% 115.63/15.37  cnf(c46, axiom,
% 115.63/15.37  	sP1(X22) | ~ca_Ax2(X22)).
% 115.63/15.37  cnf(a25, assumption,
% 115.63/15.37  	X19 = X22).
% 115.63/15.37  cnf(c47, plain,
% 115.63/15.37  	$false,
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a25])], [c42, c46])).
% 115.63/15.37  cnf(c48, plain,
% 115.63/15.37  	~ca_Ax2(X22),
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a25])], [c42, c46])).
% 115.63/15.37  
% 115.63/15.37  cnf(c49, axiom,
% 115.63/15.37  	ca_Ax2(sK2(X23)) | ~cUnsatisfiable(X23)).
% 115.63/15.37  cnf(a26, assumption,
% 115.63/15.37  	X22 = sK2(X23)).
% 115.63/15.37  cnf(c50, plain,
% 115.63/15.37  	$false,
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a26])], [c48, c49])).
% 115.63/15.37  cnf(c51, plain,
% 115.63/15.37  	~cUnsatisfiable(X23),
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a26])], [c48, c49])).
% 115.63/15.37  
% 115.63/15.37  cnf(c52, plain,
% 115.63/15.37  	cUnsatisfiable(X3)).
% 115.63/15.37  cnf(a27, assumption,
% 115.63/15.37  	X23 = X3).
% 115.63/15.37  cnf(c53, plain,
% 115.63/15.37  	$false,
% 115.63/15.37  	inference(predicate_reduction, [assumptions([a27])], [c51, c52])).
% 115.63/15.37  
% 115.63/15.37  cnf(c54, axiom,
% 115.63/15.37  	sP0(X24) | ~sP1(X24)).
% 115.63/15.37  cnf(a28, assumption,
% 115.63/15.37  	X5 = X24).
% 115.63/15.37  cnf(c55, plain,
% 115.63/15.37  	$false,
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a28])], [c15, c54])).
% 115.63/15.37  cnf(c56, plain,
% 115.63/15.37  	~sP1(X24),
% 115.63/15.37  	inference(strict_predicate_extension, [assumptions([a28])], [c15, c54])).
% 115.63/15.37  
% 115.63/15.37  cnf(c57, plain,
% 115.63/15.37  	sP1(X19)).
% 115.63/15.37  cnf(a29, assumption,
% 115.63/15.37  	X24 = X19).
% 115.63/15.37  cnf(c58, plain,
% 115.63/15.37  	$false,
% 115.63/15.37  	inference(predicate_reduction, [assumptions([a29])], [c56, c57])).
% 115.63/15.37  
% 115.63/15.37  cnf(c59, plain,
% 115.63/15.37  	$false,
% 115.63/15.37  	inference(constraint_solving, [
% 115.63/15.37  		bind(X0, i2003_11_14_17_21_08508),
% 115.63/15.37  		bind(X1, sK4(X2)),
% 115.63/15.37  		bind(X2, i2003_11_14_17_21_08508),
% 115.63/15.37  		bind(X3, i2003_11_14_17_21_08508),
% 115.63/15.37  		bind(X4, i2003_11_14_17_21_08508),
% 115.63/15.37  		bind(X5, sK2(X17)),
% 115.63/15.37  		bind(X6, sK2(X17)),
% 115.63/15.37  		bind(X7, i2003_11_14_17_21_08508),
% 115.63/15.37  		bind(X8, i2003_11_14_17_21_08508),
% 115.63/15.37  		bind(X9, i2003_11_14_17_21_08508),
% 115.63/15.37  		bind(X10, sK2(X17)),
% 115.63/15.37  		bind(X11, sK2(X17)),
% 115.63/15.37  		bind(X12, sK7(X8)),
% 115.63/15.37  		bind(X13, i2003_11_14_17_21_08508),
% 115.63/15.37  		bind(X14, sK2(X17)),
% 115.63/15.37  		bind(X15, i2003_11_14_17_21_08508),
% 115.63/15.37  		bind(X16, sK7(X8)),
% 115.63/15.37  		bind(X17, i2003_11_14_17_21_08508),
% 115.63/15.37  		bind(X18, i2003_11_14_17_21_08508),
% 115.63/15.37  		bind(X19, sK2(X17)),
% 115.63/15.37  		bind(X20, sK2(X17)),
% 115.63/15.37  		bind(X21, i2003_11_14_17_21_08508),
% 115.63/15.37  		bind(X22, sK2(X17)),
% 115.63/15.37  		bind(X23, i2003_11_14_17_21_08508),
% 115.63/15.37  		bind(X24, sK2(X17))
% 115.63/15.37  	],
% 115.63/15.37  	[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])).
% 115.63/15.37  
% 115.63/15.37  % SZS output end IncompleteProof
%------------------------------------------------------------------------------