TSTP Solution File: COM132+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : COM132+2 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n016.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 : Fri Jul 15 01:07:24 EDT 2022
% Result : Theorem 9.04s 2.59s
% Output : CNFRefutation 9.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 40 ( 17 unt; 12 nHn; 30 RR)
% Number of literals : 93 ( 37 equ; 49 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-3 aty)
% Number of variables : 116 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_134,plain,
( vtcheck(X1,X2,X3)
| ~ valphaEquivalent(X4,X2)
| ~ vtcheck(X1,X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ednn8w5b/lgb.p',i_0_134) ).
cnf(i_0_133,plain,
( visFreeVar(X1,X2)
| valphaEquivalent(vabs(X3,X4,X2),vabs(X1,X4,vsubst(X3,vvar(X1),X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ednn8w5b/lgb.p',i_0_133) ).
cnf(i_0_136,plain,
( X1 = X2
| visFreeVar(X2,X3)
| vtcheck(X4,vsubst(X1,X3,vabs(X2,X5,X6)),X7)
| ~ vtcheck(X4,X3,X8)
| ~ vtcheck(vbind(X1,X8,X4),vabs(X2,X5,X6),X7) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ednn8w5b/lgb.p',i_0_136) ).
cnf(i_0_141,negated_conjecture,
vtcheck(esk24_0,esk26_0,esk23_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ednn8w5b/lgb.p',i_0_141) ).
cnf(i_0_140,negated_conjecture,
vtcheck(vbind(esk25_0,esk23_0,esk24_0),vabs(esk27_0,esk28_0,veabs),esk29_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ednn8w5b/lgb.p',i_0_140) ).
cnf(i_0_95,plain,
( X1 = X2
| X3 = vsubst(X1,X4,vabs(X5,X6,vsubst(X2,vvar(X5),X7)))
| X8 != X4
| X9 != X1
| X3 != vsubst(X9,X8,X10)
| X10 != vabs(X2,X6,X7)
| X5 != vgensym(vapp(vapp(X4,X7),vvar(X1)))
| ~ visFreeVar(X2,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ednn8w5b/lgb.p',i_0_95) ).
cnf(i_0_142,negated_conjecture,
visFreeVar(esk27_0,esk26_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ednn8w5b/lgb.p',i_0_142) ).
cnf(i_0_137,plain,
( X1 != X2
| X1 != vgensym(vapp(vapp(X3,X4),vvar(X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ednn8w5b/lgb.p',i_0_137) ).
cnf(i_0_138,plain,
( X1 != vgensym(vapp(vapp(X2,X3),vvar(X4)))
| ~ visFreeVar(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ednn8w5b/lgb.p',i_0_138) ).
cnf(i_0_23,plain,
( visFreeVar(X1,X2)
| X3 != X1
| X2 != vapp(X4,X5)
| ~ visFreeVar(X3,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ednn8w5b/lgb.p',i_0_23) ).
cnf(i_0_139,negated_conjecture,
~ vtcheck(esk24_0,vsubst(esk25_0,esk26_0,vabs(esk27_0,esk28_0,veabs)),esk29_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ednn8w5b/lgb.p',i_0_139) ).
cnf(i_0_143,negated_conjecture,
esk25_0 != esk27_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ednn8w5b/lgb.p',i_0_143) ).
cnf(i_0_90,plain,
( vgensym(X1) != X2
| ~ visFreeVar(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ednn8w5b/lgb.p',i_0_90) ).
cnf(c_0_157,plain,
( vtcheck(X1,X2,X3)
| ~ valphaEquivalent(X4,X2)
| ~ vtcheck(X1,X4,X3) ),
i_0_134 ).
cnf(c_0_158,plain,
( visFreeVar(X1,X2)
| valphaEquivalent(vabs(X3,X4,X2),vabs(X1,X4,vsubst(X3,vvar(X1),X2))) ),
i_0_133 ).
cnf(c_0_159,plain,
( X1 = X2
| visFreeVar(X2,X3)
| vtcheck(X4,vsubst(X1,X3,vabs(X2,X5,X6)),X7)
| ~ vtcheck(X4,X3,X8)
| ~ vtcheck(vbind(X1,X8,X4),vabs(X2,X5,X6),X7) ),
i_0_136 ).
cnf(c_0_160,negated_conjecture,
vtcheck(esk24_0,esk26_0,esk23_0),
i_0_141 ).
cnf(c_0_161,plain,
( visFreeVar(X1,X2)
| vtcheck(X3,vabs(X1,X4,vsubst(X5,vvar(X1),X2)),X6)
| ~ vtcheck(X3,vabs(X5,X4,X2),X6) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_162,negated_conjecture,
vtcheck(vbind(esk25_0,esk23_0,esk24_0),vabs(esk27_0,esk28_0,veabs),esk29_0),
i_0_140 ).
cnf(c_0_163,plain,
( X1 = X2
| X3 = vsubst(X1,X4,vabs(X5,X6,vsubst(X2,vvar(X5),X7)))
| X8 != X4
| X9 != X1
| X3 != vsubst(X9,X8,X10)
| X10 != vabs(X2,X6,X7)
| X5 != vgensym(vapp(vapp(X4,X7),vvar(X1)))
| ~ visFreeVar(X2,X4) ),
i_0_95 ).
cnf(c_0_164,negated_conjecture,
( X1 = X2
| visFreeVar(X2,esk26_0)
| vtcheck(esk24_0,vsubst(X1,esk26_0,vabs(X2,X3,X4)),X5)
| ~ vtcheck(vbind(X1,esk23_0,esk24_0),vabs(X2,X3,X4),X5) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_165,negated_conjecture,
( visFreeVar(X1,veabs)
| vtcheck(vbind(esk25_0,esk23_0,esk24_0),vabs(X1,esk28_0,vsubst(esk27_0,vvar(X1),veabs)),esk29_0) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_166,plain,
( vsubst(X1,X2,vabs(X3,X4,X5)) = vsubst(X1,X2,vabs(vgensym(vapp(vapp(X2,X5),vvar(X1))),X4,vsubst(X3,vvar(vgensym(vapp(vapp(X2,X5),vvar(X1)))),X5)))
| X1 = X3
| ~ visFreeVar(X3,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_163])])])])]) ).
cnf(c_0_167,negated_conjecture,
visFreeVar(esk27_0,esk26_0),
i_0_142 ).
cnf(c_0_168,plain,
( X1 != X2
| X1 != vgensym(vapp(vapp(X3,X4),vvar(X2))) ),
i_0_137 ).
cnf(c_0_169,plain,
( X1 != vgensym(vapp(vapp(X2,X3),vvar(X4)))
| ~ visFreeVar(X1,X3) ),
i_0_138 ).
cnf(c_0_170,plain,
( visFreeVar(X1,X2)
| X3 != X1
| X2 != vapp(X4,X5)
| ~ visFreeVar(X3,X4) ),
i_0_23 ).
cnf(c_0_171,negated_conjecture,
( esk25_0 = X1
| visFreeVar(X1,veabs)
| visFreeVar(X1,esk26_0)
| vtcheck(esk24_0,vsubst(esk25_0,esk26_0,vabs(X1,esk28_0,vsubst(esk27_0,vvar(X1),veabs))),esk29_0) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_172,negated_conjecture,
( vsubst(X1,esk26_0,vabs(vgensym(vapp(vapp(esk26_0,X2),vvar(X1))),X3,vsubst(esk27_0,vvar(vgensym(vapp(vapp(esk26_0,X2),vvar(X1)))),X2))) = vsubst(X1,esk26_0,vabs(esk27_0,X3,X2))
| X1 = esk27_0 ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_173,plain,
vgensym(vapp(vapp(X1,X2),vvar(X3))) != X3,
inference(er,[status(thm)],[c_0_168]) ).
cnf(c_0_174,plain,
~ visFreeVar(vgensym(vapp(vapp(X1,X2),vvar(X3))),X2),
inference(er,[status(thm)],[c_0_169]) ).
cnf(c_0_175,negated_conjecture,
~ vtcheck(esk24_0,vsubst(esk25_0,esk26_0,vabs(esk27_0,esk28_0,veabs)),esk29_0),
i_0_139 ).
cnf(c_0_176,negated_conjecture,
esk25_0 != esk27_0,
i_0_143 ).
cnf(c_0_177,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_170])]) ).
cnf(c_0_178,negated_conjecture,
visFreeVar(vgensym(vapp(vapp(esk26_0,veabs),vvar(esk25_0))),esk26_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173]),c_0_174]),c_0_175]),c_0_176]) ).
cnf(c_0_179,plain,
( vgensym(X1) != X2
| ~ visFreeVar(X2,X1) ),
i_0_90 ).
cnf(c_0_180,plain,
visFreeVar(vgensym(vapp(vapp(esk26_0,veabs),vvar(esk25_0))),vapp(esk26_0,X1)),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_181,plain,
~ visFreeVar(vgensym(X1),X1),
inference(er,[status(thm)],[c_0_179]) ).
cnf(c_0_182,plain,
visFreeVar(vgensym(vapp(vapp(esk26_0,veabs),vvar(esk25_0))),vapp(vapp(esk26_0,X1),X2)),
inference(spm,[status(thm)],[c_0_177,c_0_180]) ).
cnf(c_0_183,plain,
$false,
inference(spm,[status(thm)],[c_0_181,c_0_182]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COM132+2 : TPTP v8.1.0. Released v6.4.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n016.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 : Thu Jun 16 19:31:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 9.04/2.59 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.04/2.59 # No SInE strategy applied
% 9.04/2.59 # Trying AutoSched0 for 150 seconds
% 9.04/2.59 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
% 9.04/2.59 # and selection function SelectCQIPrecWNTNp.
% 9.04/2.59 #
% 9.04/2.59 # Preprocessing time : 0.023 s
% 9.04/2.59 # Presaturation interreduction done
% 9.04/2.59
% 9.04/2.59 # Proof found!
% 9.04/2.59 # SZS status Theorem
% 9.04/2.59 # SZS output start CNFRefutation
% See solution above
% 9.04/2.59 # Training examples: 0 positive, 0 negative
% 9.04/2.59
% 9.04/2.59 # -------------------------------------------------
% 9.04/2.59 # User time : 0.062 s
% 9.04/2.59 # System time : 0.008 s
% 9.04/2.59 # Total time : 0.071 s
% 9.04/2.59 # Maximum resident set size: 7120 pages
% 9.04/2.59
%------------------------------------------------------------------------------