TSTP Solution File: SET009-1 by lazyCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : SET009-1 : 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 : n012.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 : Tue Jul 19 02:42:13 EDT 2022

% Result   : Unsatisfiable 0.21s 0.39s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul 10 08:06:13 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.39  % SZS status Unsatisfiable
% 0.21/0.39  % SZS output begin IncompleteProof
% 0.21/0.39  cnf(c0, axiom,
% 0.21/0.39  	~subset(bDa,bDd)).
% 0.21/0.39  cnf(c1, plain,
% 0.21/0.39  	~subset(bDa,bDd),
% 0.21/0.39  	inference(start, [], [c0])).
% 0.21/0.39  
% 0.21/0.39  cnf(c2, axiom,
% 0.21/0.39  	subset(X0,X1) | ~member(member_of_1_not_of_2(X0,X1),X1)).
% 0.21/0.39  cnf(a0, assumption,
% 0.21/0.39  	bDa = X0).
% 0.21/0.39  cnf(a1, assumption,
% 0.21/0.39  	bDd = X1).
% 0.21/0.39  cnf(c3, plain,
% 0.21/0.39  	$false,
% 0.21/0.39  	inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.21/0.39  cnf(c4, plain,
% 0.21/0.39  	~member(member_of_1_not_of_2(X0,X1),X1),
% 0.21/0.39  	inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.21/0.39  
% 0.21/0.39  cnf(c5, axiom,
% 0.21/0.39  	member(X2,X3) | member(X2,X4) | ~difference(X5,X3,X4) | ~member(X2,X5)).
% 0.21/0.39  cnf(a2, assumption,
% 0.21/0.39  	member_of_1_not_of_2(X0,X1) = X2).
% 0.21/0.39  cnf(a3, assumption,
% 0.21/0.39  	X1 = X4).
% 0.21/0.39  cnf(c6, plain,
% 0.21/0.39  	$false,
% 0.21/0.39  	inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 0.21/0.39  cnf(c7, plain,
% 0.21/0.39  	member(X2,X3) | ~difference(X5,X3,X4) | ~member(X2,X5),
% 0.21/0.39  	inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 0.21/0.39  
% 0.21/0.39  cnf(c8, axiom,
% 0.21/0.39  	member(X6,X7) | ~subset(X8,X7) | ~member(X6,X8)).
% 0.21/0.39  cnf(a4, assumption,
% 0.21/0.39  	X2 = X6).
% 0.21/0.39  cnf(a5, assumption,
% 0.21/0.39  	X3 = X8).
% 0.21/0.39  cnf(c9, plain,
% 0.21/0.39  	~difference(X5,X3,X4) | ~member(X2,X5),
% 0.21/0.39  	inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 0.21/0.39  cnf(c10, plain,
% 0.21/0.39  	member(X6,X7) | ~subset(X8,X7),
% 0.21/0.39  	inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 0.21/0.39  
% 0.21/0.39  cnf(c11, axiom,
% 0.21/0.39  	~difference(X9,X10,X11) | ~member(X12,X11) | ~member(X12,X10)).
% 0.21/0.39  cnf(a6, assumption,
% 0.21/0.39  	X6 = X12).
% 0.21/0.39  cnf(a7, assumption,
% 0.21/0.39  	X7 = X10).
% 0.21/0.39  cnf(c12, plain,
% 0.21/0.39  	~subset(X8,X7),
% 0.21/0.39  	inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 0.21/0.39  cnf(c13, plain,
% 0.21/0.39  	~difference(X9,X10,X11) | ~member(X12,X11),
% 0.21/0.39  	inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 0.21/0.39  
% 0.21/0.39  cnf(c14, axiom,
% 0.21/0.39  	difference(b,a,bDa)).
% 0.21/0.39  cnf(a8, assumption,
% 0.21/0.39  	X9 = b).
% 0.21/0.39  cnf(a9, assumption,
% 0.21/0.39  	X10 = a).
% 0.21/0.39  cnf(a10, assumption,
% 0.21/0.39  	X11 = bDa).
% 0.21/0.39  cnf(c15, plain,
% 0.21/0.39  	~member(X12,X11),
% 0.21/0.39  	inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c13, c14])).
% 0.21/0.39  cnf(c16, plain,
% 0.21/0.39  	$false,
% 0.21/0.39  	inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c13, c14])).
% 0.21/0.39  
% 0.21/0.39  cnf(c17, axiom,
% 0.21/0.39  	member(member_of_1_not_of_2(X13,X14),X13) | subset(X13,X14)).
% 0.21/0.39  cnf(a11, assumption,
% 0.21/0.39  	X12 = member_of_1_not_of_2(X13,X14)).
% 0.21/0.39  cnf(a12, assumption,
% 0.21/0.39  	X11 = X13).
% 0.21/0.39  cnf(c18, plain,
% 0.21/0.39  	$false,
% 0.21/0.39  	inference(strict_predicate_extension, [assumptions([a11, a12])], [c15, c17])).
% 0.21/0.39  cnf(c19, plain,
% 0.21/0.39  	subset(X13,X14),
% 0.21/0.39  	inference(strict_predicate_extension, [assumptions([a11, a12])], [c15, c17])).
% 0.21/0.39  
% 0.21/0.39  cnf(c20, plain,
% 0.21/0.39  	~subset(bDa,bDd)).
% 0.21/0.39  cnf(a13, assumption,
% 0.21/0.39  	X13 = bDa).
% 0.21/0.39  cnf(a14, assumption,
% 0.21/0.39  	X14 = bDd).
% 0.21/0.39  cnf(c21, plain,
% 0.21/0.39  	$false,
% 0.21/0.39  	inference(predicate_reduction, [assumptions([a13, a14])], [c19, c20])).
% 0.21/0.39  
% 0.21/0.39  cnf(c22, axiom,
% 0.21/0.39  	subset(d,a)).
% 0.21/0.39  cnf(a15, assumption,
% 0.21/0.39  	X8 = d).
% 0.21/0.39  cnf(a16, assumption,
% 0.21/0.39  	X7 = a).
% 0.21/0.39  cnf(c23, plain,
% 0.21/0.39  	$false,
% 0.21/0.39  	inference(strict_predicate_extension, [assumptions([a15, a16])], [c12, c22])).
% 0.21/0.39  cnf(c24, plain,
% 0.21/0.39  	$false,
% 0.21/0.39  	inference(strict_predicate_extension, [assumptions([a15, a16])], [c12, c22])).
% 0.21/0.39  
% 0.21/0.39  cnf(c25, axiom,
% 0.21/0.39  	difference(b,d,bDd)).
% 0.21/0.39  cnf(a17, assumption,
% 0.21/0.39  	X5 = b).
% 0.21/0.39  cnf(a18, assumption,
% 0.21/0.39  	X3 = d).
% 0.21/0.39  cnf(a19, assumption,
% 0.21/0.39  	X4 = bDd).
% 0.21/0.39  cnf(c26, plain,
% 0.21/0.39  	~member(X2,X5),
% 0.21/0.39  	inference(strict_predicate_extension, [assumptions([a17, a18, a19])], [c9, c25])).
% 0.21/0.39  cnf(c27, plain,
% 0.21/0.39  	$false,
% 0.21/0.39  	inference(strict_predicate_extension, [assumptions([a17, a18, a19])], [c9, c25])).
% 0.21/0.39  
% 0.21/0.39  cnf(c28, axiom,
% 0.21/0.39  	member(X15,X16) | ~member(X15,X17) | ~difference(X16,X18,X17)).
% 0.21/0.39  cnf(a20, assumption,
% 0.21/0.39  	X2 = X15).
% 0.21/0.39  cnf(a21, assumption,
% 0.21/0.39  	X5 = X16).
% 0.21/0.39  cnf(c29, plain,
% 0.21/0.39  	$false,
% 0.21/0.39  	inference(strict_predicate_extension, [assumptions([a20, a21])], [c26, c28])).
% 0.21/0.39  cnf(c30, plain,
% 0.21/0.39  	~member(X15,X17) | ~difference(X16,X18,X17),
% 0.21/0.39  	inference(strict_predicate_extension, [assumptions([a20, a21])], [c26, c28])).
% 0.21/0.39  
% 0.21/0.39  cnf(c31, plain,
% 0.21/0.39  	member(X12,X11)).
% 0.21/0.39  cnf(a22, assumption,
% 0.21/0.39  	X15 = X12).
% 0.21/0.39  cnf(a23, assumption,
% 0.21/0.39  	X17 = X11).
% 0.21/0.39  cnf(c32, plain,
% 0.21/0.39  	~difference(X16,X18,X17),
% 0.21/0.39  	inference(predicate_reduction, [assumptions([a22, a23])], [c30, c31])).
% 0.21/0.39  
% 0.21/0.39  cnf(c33, plain,
% 0.21/0.39  	difference(X9,X10,X11)).
% 0.21/0.39  cnf(a24, assumption,
% 0.21/0.39  	X16 = X9).
% 0.21/0.39  cnf(a25, assumption,
% 0.21/0.39  	X18 = X10).
% 0.21/0.39  cnf(a26, assumption,
% 0.21/0.39  	X17 = X11).
% 0.21/0.39  cnf(c34, plain,
% 0.21/0.39  	$false,
% 0.21/0.39  	inference(predicate_reduction, [assumptions([a24, a25, a26])], [c32, c33])).
% 0.21/0.39  
% 0.21/0.39  cnf(c35, plain,
% 0.21/0.39  	$false,
% 0.21/0.39  	inference(constraint_solving, [
% 0.21/0.39  		bind(X0, bDa),
% 0.21/0.39  		bind(X1, bDd),
% 0.21/0.39  		bind(X2, member_of_1_not_of_2(X0,X1)),
% 0.21/0.39  		bind(X3, d),
% 0.21/0.39  		bind(X4, bDd),
% 0.21/0.39  		bind(X5, b),
% 0.21/0.39  		bind(X6, member_of_1_not_of_2(X0,X1)),
% 0.21/0.39  		bind(X7, a),
% 0.21/0.39  		bind(X8, d),
% 0.21/0.39  		bind(X9, b),
% 0.21/0.39  		bind(X10, a),
% 0.21/0.39  		bind(X11, bDa),
% 0.21/0.39  		bind(X12, member_of_1_not_of_2(X0,X1)),
% 0.21/0.39  		bind(X13, bDa),
% 0.21/0.39  		bind(X14, bDd),
% 0.21/0.39  		bind(X15, member_of_1_not_of_2(X0,X1)),
% 0.21/0.39  		bind(X16, b),
% 0.21/0.39  		bind(X17, bDa),
% 0.21/0.39  		bind(X18, a)
% 0.21/0.39  	],
% 0.21/0.39  	[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])).
% 0.21/0.39  
% 0.21/0.39  % SZS output end IncompleteProof
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