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lazyCoP---0.1.UNS-Ass.s

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%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : SET825-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : Tue Jul 19 02:48:23 EDT 2022

% Result   : Unsatisfiable 0.12s 0.39s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET825-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : n018.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 : Sun Jul 10 06:04:12 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.39  % SZS status Unsatisfiable
% 0.12/0.39  % SZS output begin IncompleteProof
% 0.12/0.39  cnf(c0, axiom,
% 0.12/0.39  	~c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat)) | c_in(c_Pair(v_x(X0),v_xa(X0),tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat)) | c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat))).
% 0.12/0.39  cnf(c1, plain,
% 0.12/0.39  	~c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat)) | c_in(c_Pair(v_x(X0),v_xa(X0),tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat)) | c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat)),
% 0.12/0.39  	inference(start, [], [c0])).
% 0.12/0.39  
% 0.12/0.39  cnf(c2, axiom,
% 0.12/0.39  	c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2))).
% 0.12/0.39  cnf(a0, assumption,
% 0.12/0.39  	c_Pair(c_0,c_0,tc_nat,tc_nat) = c_Pair(X1,X1,X2,X2)).
% 0.12/0.39  cnf(a1, assumption,
% 0.12/0.39  	X0 = c_Relation_OId).
% 0.12/0.39  cnf(a2, assumption,
% 0.12/0.39  	tc_prod(tc_nat,tc_nat) = tc_prod(X2,X2)).
% 0.12/0.39  cnf(c3, plain,
% 0.12/0.39  	c_in(c_Pair(v_x(X0),v_xa(X0),tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat)) | c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat)),
% 0.12/0.39  	inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.12/0.39  cnf(c4, plain,
% 0.12/0.39  	$false,
% 0.12/0.39  	inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.12/0.39  
% 0.12/0.39  cnf(c5, axiom,
% 0.12/0.39  	X3 = X4 | ~c_in(c_Pair(X3,X4,X5,X5),c_Relation_OId,tc_prod(X5,X5))).
% 0.12/0.39  cnf(a3, assumption,
% 0.12/0.39  	c_Pair(v_x(X0),v_xa(X0),tc_nat,tc_nat) = c_Pair(X3,X4,X5,X5)).
% 0.12/0.39  cnf(a4, assumption,
% 0.12/0.39  	X0 = c_Relation_OId).
% 0.12/0.39  cnf(a5, assumption,
% 0.12/0.39  	tc_prod(tc_nat,tc_nat) = tc_prod(X5,X5)).
% 0.12/0.39  cnf(c6, plain,
% 0.12/0.39  	c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat)),
% 0.12/0.39  	inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c3, c5])).
% 0.12/0.39  cnf(c7, plain,
% 0.12/0.39  	X3 = X4,
% 0.12/0.39  	inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c3, c5])).
% 0.12/0.39  
% 0.12/0.39  cnf(c8, axiom,
% 0.12/0.39  	~c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X6,tc_prod(tc_nat,tc_nat)) | ~c_in(c_Pair(c_Suc(v_x(X6)),c_Suc(v_xa(X6)),tc_nat,tc_nat),X6,tc_prod(tc_nat,tc_nat)) | c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X6,tc_prod(tc_nat,tc_nat))).
% 0.12/0.39  cnf(a6, assumption,
% 0.12/0.39  	v_xa(X6) = X4).
% 0.12/0.39  cnf(c9, plain,
% 0.12/0.39  	$false,
% 0.12/0.39  	inference(strict_subterm_extension, [assumptions([a6])], [c7, c8])).
% 0.12/0.39  cnf(c10, plain,
% 0.12/0.39  	~c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X6,tc_prod(tc_nat,tc_nat)) | c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X6,tc_prod(tc_nat,tc_nat)),
% 0.12/0.39  	inference(strict_subterm_extension, [assumptions([a6])], [c7, c8])).
% 0.12/0.39  cnf(c11, plain,
% 0.12/0.39  	~c_in(c_Pair(c_Suc(v_x(X6)),c_Suc(X3),tc_nat,tc_nat),X6,tc_prod(tc_nat,tc_nat)),
% 0.12/0.39  	inference(strict_subterm_extension, [assumptions([a6])], [c7, c8])).
% 0.12/0.39  
% 0.12/0.39  cnf(c12, axiom,
% 0.12/0.39  	c_in(c_Pair(X7,X7,X8,X8),c_Relation_OId,tc_prod(X8,X8))).
% 0.12/0.39  cnf(a7, assumption,
% 0.12/0.39  	c_Pair(c_Suc(v_x(X6)),c_Suc(X3),tc_nat,tc_nat) = c_Pair(X7,X7,X8,X8)).
% 0.12/0.39  cnf(a8, assumption,
% 0.12/0.39  	X6 = c_Relation_OId).
% 0.12/0.39  cnf(a9, assumption,
% 0.12/0.39  	tc_prod(tc_nat,tc_nat) = tc_prod(X8,X8)).
% 0.12/0.39  cnf(c13, plain,
% 0.12/0.39  	$false,
% 0.12/0.39  	inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c11, c12])).
% 0.12/0.39  cnf(c14, plain,
% 0.12/0.39  	$false,
% 0.12/0.39  	inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c11, c12])).
% 0.12/0.39  
% 0.12/0.39  cnf(c15, plain,
% 0.12/0.39  	c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat))).
% 0.12/0.39  cnf(a10, assumption,
% 0.12/0.39  	c_Pair(c_0,c_0,tc_nat,tc_nat) = c_Pair(c_0,c_0,tc_nat,tc_nat)).
% 0.12/0.39  cnf(a11, assumption,
% 0.12/0.39  	X6 = X0).
% 0.12/0.39  cnf(a12, assumption,
% 0.12/0.39  	tc_prod(tc_nat,tc_nat) = tc_prod(tc_nat,tc_nat)).
% 0.12/0.39  cnf(c16, plain,
% 0.12/0.39  	c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X6,tc_prod(tc_nat,tc_nat)),
% 0.12/0.39  	inference(predicate_reduction, [assumptions([a10, a11, a12])], [c10, c15])).
% 0.12/0.39  
% 0.12/0.39  cnf(c17, axiom,
% 0.12/0.39  	X9 = X10 | ~c_in(c_Pair(X9,X10,X11,X11),c_Relation_OId,tc_prod(X11,X11))).
% 0.12/0.39  cnf(a13, assumption,
% 0.12/0.39  	c_Pair(v_n,v_m,tc_nat,tc_nat) = c_Pair(X9,X10,X11,X11)).
% 0.12/0.39  cnf(a14, assumption,
% 0.12/0.39  	X6 = c_Relation_OId).
% 0.12/0.39  cnf(a15, assumption,
% 0.12/0.39  	tc_prod(tc_nat,tc_nat) = tc_prod(X11,X11)).
% 0.12/0.39  cnf(c18, plain,
% 0.12/0.39  	$false,
% 0.12/0.39  	inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c16, c17])).
% 0.12/0.39  cnf(c19, plain,
% 0.12/0.39  	X9 = X10,
% 0.12/0.39  	inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c16, c17])).
% 0.12/0.39  
% 0.12/0.39  cnf(c20, axiom,
% 0.12/0.39  	~v_Q(v_m)).
% 0.12/0.39  cnf(a16, assumption,
% 0.12/0.39  	v_m = X10).
% 0.12/0.39  cnf(c21, plain,
% 0.12/0.39  	$false,
% 0.12/0.39  	inference(strict_subterm_extension, [assumptions([a16])], [c19, c20])).
% 0.12/0.39  cnf(c22, plain,
% 0.12/0.39  	$false,
% 0.12/0.39  	inference(strict_subterm_extension, [assumptions([a16])], [c19, c20])).
% 0.12/0.39  cnf(c23, plain,
% 0.12/0.39  	~v_Q(X9),
% 0.12/0.39  	inference(strict_subterm_extension, [assumptions([a16])], [c19, c20])).
% 0.12/0.39  
% 0.12/0.39  cnf(c24, axiom,
% 0.12/0.39  	v_Q(v_n)).
% 0.12/0.39  cnf(a17, assumption,
% 0.12/0.39  	X9 = v_n).
% 0.12/0.39  cnf(c25, plain,
% 0.12/0.39  	$false,
% 0.12/0.39  	inference(strict_predicate_extension, [assumptions([a17])], [c23, c24])).
% 0.12/0.39  cnf(c26, plain,
% 0.12/0.39  	$false,
% 0.12/0.39  	inference(strict_predicate_extension, [assumptions([a17])], [c23, c24])).
% 0.12/0.39  
% 0.12/0.39  cnf(c27, plain,
% 0.12/0.39  	~c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X6,tc_prod(tc_nat,tc_nat))).
% 0.12/0.39  cnf(a18, assumption,
% 0.12/0.39  	c_Pair(v_n,v_m,tc_nat,tc_nat) = c_Pair(v_n,v_m,tc_nat,tc_nat)).
% 0.12/0.39  cnf(a19, assumption,
% 0.12/0.39  	X0 = X6).
% 0.12/0.39  cnf(a20, assumption,
% 0.12/0.39  	tc_prod(tc_nat,tc_nat) = tc_prod(tc_nat,tc_nat)).
% 0.12/0.39  cnf(c28, plain,
% 0.12/0.39  	$false,
% 0.12/0.39  	inference(predicate_reduction, [assumptions([a18, a19, a20])], [c6, c27])).
% 0.12/0.39  
% 0.12/0.39  cnf(c29, plain,
% 0.12/0.39  	$false,
% 0.12/0.39  	inference(constraint_solving, [
% 0.12/0.39  		bind(X0, c_Relation_OId),
% 0.12/0.39  		bind(X1, c_0),
% 0.12/0.39  		bind(X2, tc_nat),
% 0.12/0.39  		bind(X3, v_x(X0)),
% 0.12/0.39  		bind(X4, v_xa(X0)),
% 0.12/0.39  		bind(X5, tc_nat),
% 0.12/0.39  		bind(X6, c_Relation_OId),
% 0.12/0.39  		bind(X7, c_Suc(v_x(X6))),
% 0.12/0.39  		bind(X8, tc_nat),
% 0.12/0.39  		bind(X9, v_n),
% 0.12/0.39  		bind(X10, v_m),
% 0.12/0.39  		bind(X11, tc_nat)
% 0.12/0.39  	],
% 0.12/0.39  	[a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20])).
% 0.12/0.39  
% 0.12/0.39  % SZS output end IncompleteProof
%------------------------------------------------------------------------------