TSTP Solution File: GEO336+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO336+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 : Sat Jul 16 03:45:22 EDT 2022
% Result : Theorem 9.25s 2.63s
% Output : CNFRefutation 9.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of clauses : 44 ( 22 unt; 10 nHn; 44 RR)
% Number of literals : 188 ( 80 equ; 130 neg)
% Maximal clause size : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-8 aty)
% Number of variables : 99 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_29,plain,
( rR(X1,X2,X3)
| X3 != X4
| X2 != X5
| X1 != X6
| ~ rpoint(X4)
| ~ rpoint(X6)
| ~ rpoint(X5)
| ~ rR(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x40o94um/lgb.p',i_0_29) ).
cnf(i_0_5,plain,
( X1 = X2
| X3 = X4
| rR(vskolem1120(X1,X5,X2,X6,X3,X7,X4,X8),X1,X2)
| X2 != X6
| X1 != X5
| X4 != X8
| X3 != X7
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rless(vf(X3,X4),vf(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x40o94um/lgb.p',i_0_5) ).
cnf(i_0_6,plain,
( X1 = X2
| X3 = X4
| rpoint(vskolem1120(X1,X5,X2,X6,X3,X7,X4,X8))
| X2 != X6
| X1 != X5
| X4 != X8
| X3 != X7
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rless(vf(X3,X4),vf(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x40o94um/lgb.p',i_0_6) ).
cnf(i_0_80,plain,
rpoint(esk11_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x40o94um/lgb.p',i_0_80) ).
cnf(i_0_81,plain,
vd1361 = esk11_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x40o94um/lgb.p',i_0_81) ).
cnf(i_0_78,plain,
rpoint(esk10_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x40o94um/lgb.p',i_0_78) ).
cnf(i_0_79,plain,
vd1363 = esk10_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x40o94um/lgb.p',i_0_79) ).
cnf(i_0_1,negated_conjecture,
( vf(vd1363,X1) != vf(vd1361,vd1362)
| ~ rpoint(X1)
| ~ rR(X1,vd1361,vd1363) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x40o94um/lgb.p',i_0_1) ).
cnf(i_0_76,plain,
vd1361 != vd1363,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x40o94um/lgb.p',i_0_76) ).
cnf(i_0_4,plain,
( X1 = X2
| X3 = X4
| vf(X1,vskolem1120(X1,X5,X2,X6,X3,X7,X4,X8)) = vf(X3,X4)
| X2 != X6
| X1 != X5
| X4 != X8
| X3 != X7
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rless(vf(X3,X4),vf(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x40o94um/lgb.p',i_0_4) ).
cnf(i_0_21,plain,
( vf(X1,X2) = vf(X2,X1)
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x40o94um/lgb.p',i_0_21) ).
cnf(i_0_12,plain,
rpoint(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x40o94um/lgb.p',i_0_12) ).
cnf(i_0_13,plain,
vd1362 = esk1_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x40o94um/lgb.p',i_0_13) ).
cnf(i_0_2,plain,
rless(vf(vd1361,vd1362),vf(vd1361,vd1363)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x40o94um/lgb.p',i_0_2) ).
cnf(i_0_77,plain,
vd1361 != vd1362,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x40o94um/lgb.p',i_0_77) ).
cnf(c_0_97,plain,
( rR(X1,X2,X3)
| X3 != X4
| X2 != X5
| X1 != X6
| ~ rpoint(X4)
| ~ rpoint(X6)
| ~ rpoint(X5)
| ~ rR(X1,X3,X2) ),
i_0_29 ).
cnf(c_0_98,plain,
( X1 = X2
| X3 = X4
| rR(vskolem1120(X1,X5,X2,X6,X3,X7,X4,X8),X1,X2)
| X2 != X6
| X1 != X5
| X4 != X8
| X3 != X7
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rless(vf(X3,X4),vf(X1,X2)) ),
i_0_5 ).
cnf(c_0_99,plain,
( X1 = X2
| X3 = X4
| rpoint(vskolem1120(X1,X5,X2,X6,X3,X7,X4,X8))
| X2 != X6
| X1 != X5
| X4 != X8
| X3 != X7
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rless(vf(X3,X4),vf(X1,X2)) ),
i_0_6 ).
cnf(c_0_100,plain,
( rR(X1,X2,X3)
| ~ rR(X1,X3,X2)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_97])])]) ).
cnf(c_0_101,plain,
( X1 = X2
| X3 = X4
| rR(vskolem1120(X3,X3,X4,X4,X1,X1,X2,X2),X3,X4)
| ~ rless(vf(X1,X2),vf(X3,X4))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_98])])])]) ).
cnf(c_0_102,plain,
( X1 = X2
| X3 = X4
| rpoint(vskolem1120(X3,X3,X4,X4,X1,X1,X2,X2))
| ~ rless(vf(X1,X2),vf(X3,X4))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_99])])])]) ).
cnf(c_0_103,plain,
rpoint(esk11_0),
i_0_80 ).
cnf(c_0_104,plain,
vd1361 = esk11_0,
i_0_81 ).
cnf(c_0_105,plain,
rpoint(esk10_0),
i_0_78 ).
cnf(c_0_106,plain,
vd1363 = esk10_0,
i_0_79 ).
cnf(c_0_107,negated_conjecture,
( vf(vd1363,X1) != vf(vd1361,vd1362)
| ~ rpoint(X1)
| ~ rR(X1,vd1361,vd1363) ),
i_0_1 ).
cnf(c_0_108,plain,
( X1 = X2
| X3 = X4
| rR(vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4),X2,X1)
| ~ rless(vf(X3,X4),vf(X1,X2))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]) ).
cnf(c_0_109,plain,
rpoint(vd1361),
inference(rw,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_110,plain,
rpoint(vd1363),
inference(rw,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_111,plain,
vd1361 != vd1363,
i_0_76 ).
cnf(c_0_112,plain,
( X1 = X2
| X3 = X4
| vf(X1,vskolem1120(X1,X5,X2,X6,X3,X7,X4,X8)) = vf(X3,X4)
| X2 != X6
| X1 != X5
| X4 != X8
| X3 != X7
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rless(vf(X3,X4),vf(X1,X2)) ),
i_0_4 ).
cnf(c_0_113,negated_conjecture,
( X1 = X2
| vf(vd1363,vskolem1120(vd1363,vd1363,vd1361,vd1361,X1,X1,X2,X2)) != vf(vd1361,vd1362)
| ~ rless(vf(X1,X2),vf(vd1363,vd1361))
| ~ rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,X1,X1,X2,X2))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]),c_0_110])]),c_0_111]) ).
cnf(c_0_114,plain,
( vf(X1,vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4)) = vf(X3,X4)
| X3 = X4
| X1 = X2
| ~ rless(vf(X3,X4),vf(X1,X2))
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_112])])])]) ).
cnf(c_0_115,plain,
( X1 = X2
| vf(X1,X2) != vf(vd1361,vd1362)
| ~ rless(vf(X1,X2),vf(vd1363,vd1361))
| ~ rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,X1,X1,X2,X2))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_109]),c_0_110])]),c_0_111]) ).
cnf(c_0_116,plain,
( vf(X1,X2) = vf(X2,X1)
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
i_0_21 ).
cnf(c_0_117,plain,
( X1 = X2
| vf(X1,X2) != vf(vd1361,vd1362)
| ~ rless(vf(X1,X2),vf(vd1363,vd1361))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_102]),c_0_109]),c_0_110])]),c_0_111]) ).
cnf(c_0_118,plain,
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_116])]) ).
cnf(c_0_119,plain,
rpoint(esk1_0),
i_0_12 ).
cnf(c_0_120,plain,
vd1362 = esk1_0,
i_0_13 ).
cnf(c_0_121,plain,
( X1 = X2
| vf(X1,X2) != vf(vd1361,vd1362)
| ~ rless(vf(X1,X2),vf(vd1361,vd1363))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_110]),c_0_109])]) ).
cnf(c_0_122,plain,
rless(vf(vd1361,vd1362),vf(vd1361,vd1363)),
i_0_2 ).
cnf(c_0_123,plain,
rpoint(vd1362),
inference(rw,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_124,plain,
vd1361 != vd1362,
i_0_77 ).
cnf(c_0_125,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]),c_0_109])]),c_0_124]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO336+1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 09:10:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 9.25/2.63 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.25/2.63 # No SInE strategy applied
% 9.25/2.63 # Trying AutoSched0 for 150 seconds
% 9.25/2.63 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 9.25/2.63 # and selection function SelectMaxLComplexAvoidPosPred.
% 9.25/2.63 #
% 9.25/2.63 # Preprocessing time : 0.025 s
% 9.25/2.63
% 9.25/2.63 # Proof found!
% 9.25/2.63 # SZS status Theorem
% 9.25/2.63 # SZS output start CNFRefutation
% See solution above
% 9.25/2.63 # Training examples: 0 positive, 0 negative
% 9.25/2.63
% 9.25/2.63 # -------------------------------------------------
% 9.25/2.63 # User time : 0.075 s
% 9.25/2.63 # System time : 0.006 s
% 9.25/2.63 # Total time : 0.081 s
% 9.25/2.63 # Maximum resident set size: 7124 pages
% 9.25/2.63
%------------------------------------------------------------------------------