TSTP Solution File: SWV251-2 by lazyCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : SWV251-2 : 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 : n010.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 : Wed Jul 20 19:46:02 EDT 2022

% Result   : Unsatisfiable 57.59s 7.63s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV251-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34  % Computer : n010.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 : Wed Jun 15 03:43:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 57.59/7.63  % SZS status Unsatisfiable
% 57.59/7.63  % SZS output begin IncompleteProof
% 57.59/7.63  cnf(c0, axiom,
% 57.59/7.63  	c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)).
% 57.59/7.63  cnf(c1, plain,
% 57.59/7.63  	c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
% 57.59/7.63  	inference(start, [], [c0])).
% 57.59/7.63  
% 57.59/7.63  cnf(c2, axiom,
% 57.59/7.63  	c_in(X0,X1,X2) | ~c_lessequals(X3,X1,tc_set(X2)) | ~c_in(X0,X3,X2)).
% 57.59/7.63  cnf(a0, assumption,
% 57.59/7.63  	v_x = X0).
% 57.59/7.63  cnf(a1, assumption,
% 57.59/7.63  	c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)) = X3).
% 57.59/7.63  cnf(a2, assumption,
% 57.59/7.63  	tc_Message_Omsg = X2).
% 57.59/7.63  cnf(c3, plain,
% 57.59/7.63  	$false,
% 57.59/7.63  	inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 57.59/7.63  cnf(c4, plain,
% 57.59/7.63  	c_in(X0,X1,X2) | ~c_lessequals(X3,X1,tc_set(X2)),
% 57.59/7.63  	inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 57.59/7.63  
% 57.59/7.63  cnf(c5, axiom,
% 57.59/7.63  	~c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg)).
% 57.59/7.63  cnf(a3, assumption,
% 57.59/7.63  	X0 = v_x).
% 57.59/7.63  cnf(a4, assumption,
% 57.59/7.63  	X1 = c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg))).
% 57.59/7.63  cnf(a5, assumption,
% 57.59/7.63  	X2 = tc_Message_Omsg).
% 57.59/7.63  cnf(c6, plain,
% 57.59/7.63  	~c_lessequals(X3,X1,tc_set(X2)),
% 57.59/7.63  	inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 57.59/7.63  cnf(c7, plain,
% 57.59/7.63  	$false,
% 57.59/7.63  	inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 57.59/7.63  
% 57.59/7.63  cnf(c8, axiom,
% 57.59/7.63  	c_lessequals(c_Message_Oanalz(X4),c_Message_Oanalz(X5),tc_set(tc_Message_Omsg)) | ~c_lessequals(X4,X5,tc_set(tc_Message_Omsg))).
% 57.59/7.63  cnf(a6, assumption,
% 57.59/7.63  	X3 = c_Message_Oanalz(X4)).
% 57.59/7.63  cnf(a7, assumption,
% 57.59/7.63  	X1 = c_Message_Oanalz(X5)).
% 57.59/7.63  cnf(a8, assumption,
% 57.59/7.63  	tc_set(X2) = tc_set(tc_Message_Omsg)).
% 57.59/7.63  cnf(c9, plain,
% 57.59/7.63  	$false,
% 57.59/7.63  	inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])).
% 57.59/7.63  cnf(c10, plain,
% 57.59/7.63  	~c_lessequals(X4,X5,tc_set(tc_Message_Omsg)),
% 57.59/7.63  	inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])).
% 57.59/7.63  
% 57.59/7.63  cnf(c11, axiom,
% 57.59/7.63  	c_lessequals(X6,X7,tc_set(X8)) | ~c_lessequals(c_union(X9,X6,X8),X7,tc_set(X8))).
% 57.59/7.63  cnf(a9, assumption,
% 57.59/7.63  	X4 = X6).
% 57.59/7.63  cnf(a10, assumption,
% 57.59/7.63  	X5 = X7).
% 57.59/7.63  cnf(a11, assumption,
% 57.59/7.63  	tc_set(tc_Message_Omsg) = tc_set(X8)).
% 57.59/7.63  cnf(c12, plain,
% 57.59/7.63  	$false,
% 57.59/7.63  	inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 57.59/7.63  cnf(c13, plain,
% 57.59/7.63  	~c_lessequals(c_union(X9,X6,X8),X7,tc_set(X8)),
% 57.59/7.63  	inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 57.59/7.63  
% 57.59/7.63  cnf(c14, axiom,
% 57.59/7.63  	c_union(X10,c_minus(X11,X10,tc_set(X12)),X12) = c_union(X10,X11,X12)).
% 57.59/7.63  cnf(a12, assumption,
% 57.59/7.63  	c_union(X9,X6,X8) = c_union(X10,X11,X12)).
% 57.59/7.63  cnf(c15, plain,
% 57.59/7.63  	$false,
% 57.59/7.63  	inference(strict_function_extension, [assumptions([a12])], [c13, c14])).
% 57.59/7.63  cnf(c16, plain,
% 57.59/7.63  	$false,
% 57.59/7.63  	inference(strict_function_extension, [assumptions([a12])], [c13, c14])).
% 57.59/7.63  cnf(c17, plain,
% 57.59/7.63  	X13 != c_union(X10,c_minus(X11,X10,tc_set(X12)),X12) | ~c_lessequals(X13,X7,tc_set(X8)),
% 57.59/7.63  	inference(strict_function_extension, [assumptions([a12])], [c13, c14])).
% 57.59/7.63  
% 57.59/7.63  cnf(c18, axiom,
% 57.59/7.63  	c_minus(c_insert(X14,X15,X16),X17,tc_set(X16)) = c_minus(X15,X17,tc_set(X16)) | ~c_in(X14,X17,X16)).
% 57.59/7.63  cnf(a13, assumption,
% 57.59/7.63  	c_minus(X11,X10,tc_set(X12)) = c_minus(c_insert(X14,X15,X16),X17,tc_set(X16))).
% 57.59/7.63  cnf(c19, plain,
% 57.59/7.63  	~c_lessequals(X13,X7,tc_set(X8)),
% 57.59/7.63  	inference(strict_function_extension, [assumptions([a13])], [c17, c18])).
% 57.59/7.63  cnf(c20, plain,
% 57.59/7.63  	~c_in(X14,X17,X16),
% 57.59/7.63  	inference(strict_function_extension, [assumptions([a13])], [c17, c18])).
% 57.59/7.63  cnf(c21, plain,
% 57.59/7.63  	X18 != c_minus(X15,X17,tc_set(X16)) | X13 != c_union(X10,X18,X12),
% 57.59/7.63  	inference(strict_function_extension, [assumptions([a13])], [c17, c18])).
% 57.59/7.63  
% 57.59/7.63  cnf(a14, assumption,
% 57.59/7.63  	X18 = c_minus(X15,X17,tc_set(X16))).
% 57.59/7.63  cnf(c22, plain,
% 57.59/7.63  	X13 != c_union(X10,X18,X12),
% 57.59/7.63  	inference(reflexivity, [assumptions([a14])], [c21])).
% 57.59/7.63  
% 57.59/7.63  cnf(c23, axiom,
% 57.59/7.63  	c_union(X19,c_minus(X20,X19,tc_set(X21)),X21) = c_union(X19,X20,X21)).
% 57.59/7.63  cnf(a15, assumption,
% 57.59/7.63  	c_union(X10,X18,X12) = c_union(X19,c_minus(X20,X19,tc_set(X21)),X21)).
% 57.59/7.63  cnf(c24, plain,
% 57.59/7.63  	$false,
% 57.59/7.63  	inference(strict_function_extension, [assumptions([a15])], [c22, c23])).
% 57.59/7.63  cnf(c25, plain,
% 57.59/7.63  	$false,
% 57.59/7.63  	inference(strict_function_extension, [assumptions([a15])], [c22, c23])).
% 57.59/7.63  cnf(c26, plain,
% 57.59/7.63  	X22 != c_union(X19,X20,X21) | X13 != X22,
% 57.59/7.63  	inference(strict_function_extension, [assumptions([a15])], [c22, c23])).
% 57.59/7.63  
% 57.59/7.63  cnf(a16, assumption,
% 57.59/7.63  	X22 = c_union(X19,X20,X21)).
% 57.59/7.63  cnf(c27, plain,
% 57.59/7.63  	X13 != X22,
% 57.59/7.63  	inference(reflexivity, [assumptions([a16])], [c26])).
% 57.59/7.63  
% 57.59/7.63  cnf(a17, assumption,
% 57.59/7.63  	X13 = X22).
% 57.59/7.63  cnf(c28, plain,
% 57.59/7.63  	$false,
% 57.59/7.63  	inference(reflexivity, [assumptions([a17])], [c27])).
% 57.59/7.63  
% 57.59/7.63  cnf(c29, axiom,
% 57.59/7.63  	c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)).
% 57.59/7.63  cnf(a18, assumption,
% 57.59/7.63  	X14 = v_X).
% 57.59/7.63  cnf(a19, assumption,
% 57.59/7.63  	X17 = c_Message_Osynth(c_Message_Oanalz(v_G))).
% 57.59/7.63  cnf(a20, assumption,
% 57.59/7.63  	X16 = tc_Message_Omsg).
% 57.59/7.63  cnf(c30, plain,
% 57.59/7.63  	$false,
% 57.59/7.63  	inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c20, c29])).
% 57.59/7.63  cnf(c31, plain,
% 57.59/7.63  	$false,
% 57.59/7.63  	inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c20, c29])).
% 57.59/7.63  
% 57.59/7.63  cnf(c32, axiom,
% 57.59/7.63  	c_lessequals(X23,X23,tc_set(X24))).
% 57.59/7.63  cnf(a21, assumption,
% 57.59/7.63  	X13 = X23).
% 57.59/7.63  cnf(a22, assumption,
% 57.59/7.63  	X7 = X23).
% 57.59/7.63  cnf(a23, assumption,
% 57.59/7.63  	tc_set(X8) = tc_set(X24)).
% 57.59/7.63  cnf(c33, plain,
% 57.59/7.63  	$false,
% 57.59/7.63  	inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c19, c32])).
% 57.59/7.63  cnf(c34, plain,
% 57.59/7.63  	$false,
% 57.59/7.63  	inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c19, c32])).
% 57.59/7.63  
% 57.59/7.63  cnf(c35, plain,
% 57.59/7.63  	$false,
% 57.59/7.63  	inference(constraint_solving, [
% 57.59/7.63  		bind(X0, v_x),
% 57.59/7.63  		bind(X1, c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg))),
% 57.59/7.63  		bind(X2, tc_Message_Omsg),
% 57.59/7.63  		bind(X3, c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg))),
% 57.59/7.63  		bind(X4, c_insert(v_X,v_H,tc_Message_Omsg)),
% 57.59/7.63  		bind(X5, c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),
% 57.59/7.63  		bind(X6, c_insert(v_X,v_H,tc_Message_Omsg)),
% 57.59/7.63  		bind(X7, c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),
% 57.59/7.63  		bind(X8, tc_Message_Omsg),
% 57.59/7.63  		bind(X9, c_Message_Osynth(c_Message_Oanalz(v_G))),
% 57.59/7.63  		bind(X10, c_Message_Osynth(c_Message_Oanalz(v_G))),
% 57.59/7.63  		bind(X11, c_insert(v_X,v_H,tc_Message_Omsg)),
% 57.59/7.63  		bind(X12, tc_Message_Omsg),
% 57.59/7.63  		bind(X13, c_union(X19,X20,X21)),
% 57.59/7.63  		bind(X14, v_X),
% 57.59/7.63  		bind(X15, v_H),
% 57.59/7.63  		bind(X16, tc_Message_Omsg),
% 57.59/7.63  		bind(X17, c_Message_Osynth(c_Message_Oanalz(v_G))),
% 57.59/7.63  		bind(X18, c_minus(X15,X17,tc_set(X16))),
% 57.59/7.63  		bind(X19, c_Message_Osynth(c_Message_Oanalz(v_G))),
% 57.59/7.63  		bind(X20, v_H),
% 57.59/7.63  		bind(X21, tc_Message_Omsg),
% 57.59/7.63  		bind(X22, c_union(X19,X20,X21)),
% 57.59/7.63  		bind(X23, c_union(X19,X20,X21)),
% 57.59/7.63  		bind(X24, tc_Message_Omsg)
% 57.59/7.63  	],
% 57.59/7.63  	[a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23])).
% 57.59/7.63  
% 57.59/7.63  % SZS output end IncompleteProof
%------------------------------------------------------------------------------