TSTP Solution File: GEO332+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO332+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 03:45:21 EDT 2022
% Result : Theorem 8.52s 2.58s
% Output : CNFRefutation 8.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 40 ( 22 unt; 9 nHn; 40 RR)
% Number of literals : 159 ( 72 equ; 107 neg)
% Maximal clause size : 12 ( 3 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 : 80 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_29,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-syqbl54s/lgb.p',i_0_29) ).
cnf(i_0_12,plain,
rpoint(esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-syqbl54s/lgb.p',i_0_12) ).
cnf(i_0_13,plain,
vd1361 = esk3_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-syqbl54s/lgb.p',i_0_13) ).
cnf(i_0_10,plain,
rpoint(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-syqbl54s/lgb.p',i_0_10) ).
cnf(i_0_11,plain,
vd1362 = esk2_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-syqbl54s/lgb.p',i_0_11) ).
cnf(i_0_1,negated_conjecture,
( vf(vd1362,X1) != vf(vd1361,vd1363)
| ~ rpoint(X1)
| ~ rR(X1,vd1362,vd1361) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-syqbl54s/lgb.p',i_0_1) ).
cnf(i_0_7,plain,
vd1361 != vd1362,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-syqbl54s/lgb.p',i_0_7) ).
cnf(i_0_28,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-syqbl54s/lgb.p',i_0_28) ).
cnf(i_0_30,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-syqbl54s/lgb.p',i_0_30) ).
cnf(i_0_43,plain,
( vf(X1,X2) = vf(X2,X1)
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-syqbl54s/lgb.p',i_0_43) ).
cnf(i_0_8,plain,
rpoint(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-syqbl54s/lgb.p',i_0_8) ).
cnf(i_0_9,plain,
vd1363 = esk1_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-syqbl54s/lgb.p',i_0_9) ).
cnf(i_0_2,plain,
rless(vf(vd1361,vd1363),vf(vd1361,vd1362)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-syqbl54s/lgb.p',i_0_2) ).
cnf(i_0_6,plain,
vd1361 != vd1363,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-syqbl54s/lgb.p',i_0_6) ).
cnf(c_0_58,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_29 ).
cnf(c_0_59,plain,
rpoint(esk3_0),
i_0_12 ).
cnf(c_0_60,plain,
vd1361 = esk3_0,
i_0_13 ).
cnf(c_0_61,plain,
rpoint(esk2_0),
i_0_10 ).
cnf(c_0_62,plain,
vd1362 = esk2_0,
i_0_11 ).
cnf(c_0_63,negated_conjecture,
( vf(vd1362,X1) != vf(vd1361,vd1363)
| ~ rpoint(X1)
| ~ rR(X1,vd1362,vd1361) ),
i_0_1 ).
cnf(c_0_64,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_58])])])]) ).
cnf(c_0_65,plain,
rpoint(vd1361),
inference(rw,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_66,plain,
rpoint(vd1362),
inference(rw,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_67,plain,
vd1361 != vd1362,
i_0_7 ).
cnf(c_0_68,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_28 ).
cnf(c_0_69,negated_conjecture,
( X1 = X2
| vf(vd1362,vskolem1120(vd1362,vd1362,vd1361,vd1361,X1,X1,X2,X2)) != vf(vd1361,vd1363)
| ~ rless(vf(X1,X2),vf(vd1362,vd1361))
| ~ rpoint(vskolem1120(vd1362,vd1362,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_63,c_0_64]),c_0_65]),c_0_66])]),c_0_67]) ).
cnf(c_0_70,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_68])])])]) ).
cnf(c_0_71,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_30 ).
cnf(c_0_72,plain,
( X1 = X2
| vf(X1,X2) != vf(vd1361,vd1363)
| ~ rless(vf(X1,X2),vf(vd1362,vd1361))
| ~ rpoint(vskolem1120(vd1362,vd1362,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_69,c_0_70]),c_0_65]),c_0_66])]),c_0_67]) ).
cnf(c_0_73,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_71])])])]) ).
cnf(c_0_74,plain,
( vf(X1,X2) = vf(X2,X1)
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
i_0_43 ).
cnf(c_0_75,plain,
( X1 = X2
| vf(X1,X2) != vf(vd1361,vd1363)
| ~ rless(vf(X1,X2),vf(vd1362,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_72,c_0_73]),c_0_65]),c_0_66])]),c_0_67]) ).
cnf(c_0_76,plain,
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_74])]) ).
cnf(c_0_77,plain,
rpoint(esk1_0),
i_0_8 ).
cnf(c_0_78,plain,
vd1363 = esk1_0,
i_0_9 ).
cnf(c_0_79,plain,
( X1 = X2
| vf(X1,X2) != vf(vd1361,vd1363)
| ~ rless(vf(X1,X2),vf(vd1361,vd1362))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_66]),c_0_65])]) ).
cnf(c_0_80,plain,
rless(vf(vd1361,vd1363),vf(vd1361,vd1362)),
i_0_2 ).
cnf(c_0_81,plain,
rpoint(vd1363),
inference(rw,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_82,plain,
vd1361 != vd1363,
i_0_6 ).
cnf(c_0_83,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_65])]),c_0_82]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO332+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n029.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 05:02:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 # ENIGMATIC: Selected complete mode:
% 8.52/2.58 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.52/2.58 # No SInE strategy applied
% 8.52/2.58 # Trying AutoSched0 for 150 seconds
% 8.52/2.58 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 8.52/2.58 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.52/2.58 #
% 8.52/2.58 # Preprocessing time : 0.025 s
% 8.52/2.58
% 8.52/2.58 # Proof found!
% 8.52/2.58 # SZS status Theorem
% 8.52/2.58 # SZS output start CNFRefutation
% See solution above
% 8.52/2.58 # Training examples: 0 positive, 0 negative
% 8.52/2.58
% 8.52/2.58 # -------------------------------------------------
% 8.52/2.58 # User time : 0.037 s
% 8.52/2.58 # System time : 0.008 s
% 8.52/2.58 # Total time : 0.045 s
% 8.52/2.58 # Maximum resident set size: 7124 pages
% 8.52/2.58
%------------------------------------------------------------------------------