TSTP Solution File: COM132+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : COM132+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 8.48s 2.58s
% Output : CNFRefutation 8.48s
% 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_6,plain,
( vtcheck(X1,X2,X3)
| ~ valphaEquivalent(X4,X2)
| ~ vtcheck(X1,X4,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nv0fhu2y/lgb.p',i_0_6) ).
cnf(i_0_3,plain,
( visFreeVar(X1,X2)
| valphaEquivalent(vabs(X3,X4,X2),vabs(X1,X4,vsubst(X3,vvar(X1),X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nv0fhu2y/lgb.p',i_0_3) ).
cnf(i_0_154,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/sandbox/tmp/enigma-theBenchmark.p-nv0fhu2y/lgb.p',i_0_154) ).
cnf(i_0_157,negated_conjecture,
vtcheck(esk33_0,esk35_0,esk32_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nv0fhu2y/lgb.p',i_0_157) ).
cnf(i_0_156,negated_conjecture,
vtcheck(vbind(esk34_0,esk32_0,esk33_0),vabs(esk36_0,esk37_0,veabs),esk38_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nv0fhu2y/lgb.p',i_0_156) ).
cnf(i_0_123,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/sandbox/tmp/enigma-theBenchmark.p-nv0fhu2y/lgb.p',i_0_123) ).
cnf(i_0_158,negated_conjecture,
visFreeVar(esk36_0,esk35_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nv0fhu2y/lgb.p',i_0_158) ).
cnf(i_0_37,plain,
( X1 != X2
| X1 != vgensym(vapp(vapp(X3,X4),vvar(X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nv0fhu2y/lgb.p',i_0_37) ).
cnf(i_0_36,plain,
( X1 != vgensym(vapp(vapp(X2,X3),vvar(X4)))
| ~ visFreeVar(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nv0fhu2y/lgb.p',i_0_36) ).
cnf(i_0_48,plain,
( visFreeVar(X1,X2)
| X3 != X1
| X2 != vapp(X4,X5)
| ~ visFreeVar(X3,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nv0fhu2y/lgb.p',i_0_48) ).
cnf(i_0_155,negated_conjecture,
~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vabs(esk36_0,esk37_0,veabs)),esk38_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nv0fhu2y/lgb.p',i_0_155) ).
cnf(i_0_159,negated_conjecture,
esk34_0 != esk36_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nv0fhu2y/lgb.p',i_0_159) ).
cnf(i_0_38,plain,
( vgensym(X1) != X2
| ~ visFreeVar(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nv0fhu2y/lgb.p',i_0_38) ).
cnf(c_0_173,plain,
( vtcheck(X1,X2,X3)
| ~ valphaEquivalent(X4,X2)
| ~ vtcheck(X1,X4,X3) ),
i_0_6 ).
cnf(c_0_174,plain,
( visFreeVar(X1,X2)
| valphaEquivalent(vabs(X3,X4,X2),vabs(X1,X4,vsubst(X3,vvar(X1),X2))) ),
i_0_3 ).
cnf(c_0_175,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_154 ).
cnf(c_0_176,negated_conjecture,
vtcheck(esk33_0,esk35_0,esk32_0),
i_0_157 ).
cnf(c_0_177,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_173,c_0_174]) ).
cnf(c_0_178,negated_conjecture,
vtcheck(vbind(esk34_0,esk32_0,esk33_0),vabs(esk36_0,esk37_0,veabs),esk38_0),
i_0_156 ).
cnf(c_0_179,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_123 ).
cnf(c_0_180,negated_conjecture,
( X1 = X2
| visFreeVar(X2,esk35_0)
| vtcheck(esk33_0,vsubst(X1,esk35_0,vabs(X2,X3,X4)),X5)
| ~ vtcheck(vbind(X1,esk32_0,esk33_0),vabs(X2,X3,X4),X5) ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_181,negated_conjecture,
( visFreeVar(X1,veabs)
| vtcheck(vbind(esk34_0,esk32_0,esk33_0),vabs(X1,esk37_0,vsubst(esk36_0,vvar(X1),veabs)),esk38_0) ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_182,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_179])])])])]) ).
cnf(c_0_183,negated_conjecture,
visFreeVar(esk36_0,esk35_0),
i_0_158 ).
cnf(c_0_184,plain,
( X1 != X2
| X1 != vgensym(vapp(vapp(X3,X4),vvar(X2))) ),
i_0_37 ).
cnf(c_0_185,plain,
( X1 != vgensym(vapp(vapp(X2,X3),vvar(X4)))
| ~ visFreeVar(X1,X3) ),
i_0_36 ).
cnf(c_0_186,plain,
( visFreeVar(X1,X2)
| X3 != X1
| X2 != vapp(X4,X5)
| ~ visFreeVar(X3,X4) ),
i_0_48 ).
cnf(c_0_187,negated_conjecture,
( esk34_0 = X1
| visFreeVar(X1,veabs)
| visFreeVar(X1,esk35_0)
| vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vabs(X1,esk37_0,vsubst(esk36_0,vvar(X1),veabs))),esk38_0) ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_188,negated_conjecture,
( vsubst(X1,esk35_0,vabs(vgensym(vapp(vapp(esk35_0,X2),vvar(X1))),X3,vsubst(esk36_0,vvar(vgensym(vapp(vapp(esk35_0,X2),vvar(X1)))),X2))) = vsubst(X1,esk35_0,vabs(esk36_0,X3,X2))
| X1 = esk36_0 ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_189,plain,
vgensym(vapp(vapp(X1,X2),vvar(X3))) != X3,
inference(er,[status(thm)],[c_0_184]) ).
cnf(c_0_190,plain,
~ visFreeVar(vgensym(vapp(vapp(X1,X2),vvar(X3))),X2),
inference(er,[status(thm)],[c_0_185]) ).
cnf(c_0_191,negated_conjecture,
~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vabs(esk36_0,esk37_0,veabs)),esk38_0),
i_0_155 ).
cnf(c_0_192,negated_conjecture,
esk34_0 != esk36_0,
i_0_159 ).
cnf(c_0_193,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_186])]) ).
cnf(c_0_194,negated_conjecture,
visFreeVar(vgensym(vapp(vapp(esk35_0,veabs),vvar(esk34_0))),esk35_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189]),c_0_190]),c_0_191]),c_0_192]) ).
cnf(c_0_195,plain,
( vgensym(X1) != X2
| ~ visFreeVar(X2,X1) ),
i_0_38 ).
cnf(c_0_196,plain,
visFreeVar(vgensym(vapp(vapp(esk35_0,veabs),vvar(esk34_0))),vapp(esk35_0,X1)),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_197,plain,
~ visFreeVar(vgensym(X1),X1),
inference(er,[status(thm)],[c_0_195]) ).
cnf(c_0_198,plain,
visFreeVar(vgensym(vapp(vapp(esk35_0,veabs),vvar(esk34_0))),vapp(vapp(esk35_0,X1),X2)),
inference(spm,[status(thm)],[c_0_193,c_0_196]) ).
cnf(c_0_199,plain,
$false,
inference(spm,[status(thm)],[c_0_197,c_0_198]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COM132+1 : TPTP v8.1.0. Released v6.4.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n022.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 19:48:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.46 # ENIGMATIC: Selected SinE mode:
% 0.21/0.48 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.21/0.48 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.21/0.48 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.48/2.58 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.48/2.58 # No SInE strategy applied
% 8.48/2.58 # Trying AutoSched0 for 150 seconds
% 8.48/2.58 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
% 8.48/2.58 # and selection function SelectCQIPrecWNTNp.
% 8.48/2.58 #
% 8.48/2.58 # Preprocessing time : 0.023 s
% 8.48/2.58 # Presaturation interreduction done
% 8.48/2.58
% 8.48/2.58 # Proof found!
% 8.48/2.58 # SZS status Theorem
% 8.48/2.58 # SZS output start CNFRefutation
% See solution above
% 8.48/2.58 # Training examples: 0 positive, 0 negative
% 8.48/2.58
% 8.48/2.58 # -------------------------------------------------
% 8.48/2.58 # User time : 0.067 s
% 8.48/2.58 # System time : 0.006 s
% 8.48/2.58 # Total time : 0.073 s
% 8.48/2.58 # Maximum resident set size: 7128 pages
% 8.48/2.58
%------------------------------------------------------------------------------