TSTP Solution File: GEO270+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO270+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 03:45:02 EDT 2022
% Result : Theorem 8.81s 2.66s
% Output : CNFRefutation 8.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of clauses : 63 ( 20 unt; 36 nHn; 63 RR)
% Number of literals : 263 ( 135 equ; 167 neg)
% Maximal clause size : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-6 aty)
% Number of variables : 145 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_19,plain,
( X1 = X2
| X3 = vskolem1061(X2,X4,X1,X5)
| X2 != X4
| X1 != X5
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X3)
| ~ ron(X1,X3)
| ~ rcenter(X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9z074jc/lgb.p',i_0_19) ).
cnf(i_0_99,plain,
( X1 = X2
| rcenter(X1,esk8_2(X1,X2))
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9z074jc/lgb.p',i_0_99) ).
cnf(i_0_98,plain,
( X1 = X2
| rcircle(esk8_2(X1,X2))
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9z074jc/lgb.p',i_0_98) ).
cnf(i_0_100,plain,
( X1 = X2
| ron(X1,esk8_2(X2,X1))
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9z074jc/lgb.p',i_0_100) ).
cnf(i_0_4,plain,
rpoint(vd1050),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9z074jc/lgb.p',i_0_4) ).
cnf(i_0_6,plain,
vd1050 = vd1049,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9z074jc/lgb.p',i_0_6) ).
cnf(i_0_2,plain,
rpoint(vd1048),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9z074jc/lgb.p',i_0_2) ).
cnf(i_0_3,plain,
vd1047 = vd1048,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9z074jc/lgb.p',i_0_3) ).
cnf(i_0_15,plain,
( X1 = X2
| X3 = vskolem1063(X4,X2,X5,X1,X6)
| X2 != X5
| X1 != X6
| X4 != vskolem1061(X2,X5,X1,X6)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X3)
| ~ ron(X2,X3)
| ~ rcenter(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9z074jc/lgb.p',i_0_15) ).
cnf(i_0_21,plain,
( X1 = X2
| rcenter(X1,vskolem1061(X1,X3,X2,X4))
| X2 != X4
| X1 != X3
| ~ rpoint(X4)
| ~ rpoint(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9z074jc/lgb.p',i_0_21) ).
cnf(i_0_20,plain,
( X1 = X2
| rcircle(vskolem1061(X1,X3,X2,X4))
| X2 != X4
| X1 != X3
| ~ rpoint(X4)
| ~ rpoint(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9z074jc/lgb.p',i_0_20) ).
cnf(i_0_5,plain,
vd1047 != vd1049,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9z074jc/lgb.p',i_0_5) ).
cnf(i_0_25,plain,
( vf(X1,X2) = vf(X2,X1)
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9z074jc/lgb.p',i_0_25) ).
cnf(i_0_8,plain,
( X1 = X2
| vf(X1,vskolem1064(X3,X4,X2,X5,X1,X6)) = vf(X2,X1)
| X2 != X5
| X1 != X6
| X4 != vskolem1061(X2,X5,X1,X6)
| X3 != vskolem1063(X4,X2,X5,X1,X6)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9z074jc/lgb.p',i_0_8) ).
cnf(i_0_7,plain,
( X1 = X2
| vf(X1,vskolem1064(X3,X4,X2,X5,X1,X6)) = vf(vskolem1064(X3,X4,X2,X5,X1,X6),X2)
| X2 != X5
| X1 != X6
| X4 != vskolem1061(X2,X5,X1,X6)
| X3 != vskolem1063(X4,X2,X5,X1,X6)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9z074jc/lgb.p',i_0_7) ).
cnf(i_0_13,plain,
( X1 = X2
| rpoint(vskolem1064(X3,X4,X2,X5,X1,X6))
| X2 != X5
| X1 != X6
| X4 != vskolem1061(X2,X5,X1,X6)
| X3 != vskolem1063(X4,X2,X5,X1,X6)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9z074jc/lgb.p',i_0_13) ).
cnf(i_0_1,negated_conjecture,
( vf(vd1049,X1) != vf(X1,vd1047)
| vf(vd1047,vd1049) != vf(vd1049,X1)
| ~ rpoint(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9z074jc/lgb.p',i_0_1) ).
cnf(c_0_118,plain,
( X1 = X2
| X3 = vskolem1061(X2,X4,X1,X5)
| X2 != X4
| X1 != X5
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X3)
| ~ ron(X1,X3)
| ~ rcenter(X2,X3) ),
i_0_19 ).
cnf(c_0_119,plain,
( X1 = X2
| rcenter(X1,esk8_2(X1,X2))
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
i_0_99 ).
cnf(c_0_120,plain,
( X1 = X2
| rcircle(esk8_2(X1,X2))
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
i_0_98 ).
cnf(c_0_121,plain,
( X1 = vskolem1061(X2,X2,X3,X3)
| X3 = X2
| ~ rcircle(X1)
| ~ rcenter(X2,X1)
| ~ ron(X3,X1)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_118])]) ).
cnf(c_0_122,plain,
( X1 = X2
| rcenter(X1,esk8_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_119])]) ).
cnf(c_0_123,plain,
( X1 = X2
| rcircle(esk8_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_120])]) ).
cnf(c_0_124,plain,
( X1 = X2
| ron(X1,esk8_2(X2,X1))
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
i_0_100 ).
cnf(c_0_125,plain,
( esk8_2(X1,X2) = vskolem1061(X1,X1,X3,X3)
| X1 = X2
| X3 = X1
| ~ ron(X3,esk8_2(X1,X2))
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]) ).
cnf(c_0_126,plain,
( X1 = X2
| ron(X1,esk8_2(X2,X1))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_124])]) ).
cnf(c_0_127,plain,
rpoint(vd1050),
i_0_4 ).
cnf(c_0_128,plain,
vd1050 = vd1049,
i_0_6 ).
cnf(c_0_129,plain,
( esk8_2(X1,X2) = vskolem1061(X1,X1,X2,X2)
| X1 = X2
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_130,plain,
rpoint(vd1049),
inference(rw,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_131,plain,
rpoint(vd1048),
i_0_2 ).
cnf(c_0_132,plain,
vd1047 = vd1048,
i_0_3 ).
cnf(c_0_133,plain,
( X1 = X2
| X3 = vskolem1063(X4,X2,X5,X1,X6)
| X2 != X5
| X1 != X6
| X4 != vskolem1061(X2,X5,X1,X6)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X3)
| ~ ron(X2,X3)
| ~ rcenter(X1,X3) ),
i_0_15 ).
cnf(c_0_134,plain,
( X1 = X2
| rcenter(X1,vskolem1061(X1,X3,X2,X4))
| X2 != X4
| X1 != X3
| ~ rpoint(X4)
| ~ rpoint(X3) ),
i_0_21 ).
cnf(c_0_135,plain,
( X1 = X2
| rcircle(vskolem1061(X1,X3,X2,X4))
| X2 != X4
| X1 != X3
| ~ rpoint(X4)
| ~ rpoint(X3) ),
i_0_20 ).
cnf(c_0_136,plain,
( esk8_2(vd1049,X1) = vskolem1061(vd1049,vd1049,X1,X1)
| vd1049 = X1
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_137,plain,
rpoint(vd1047),
inference(rw,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_138,plain,
vd1047 != vd1049,
i_0_5 ).
cnf(c_0_139,plain,
( vf(X1,X2) = vf(X2,X1)
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
i_0_25 ).
cnf(c_0_140,plain,
( X1 = X2
| vf(X1,vskolem1064(X3,X4,X2,X5,X1,X6)) = vf(X2,X1)
| X2 != X5
| X1 != X6
| X4 != vskolem1061(X2,X5,X1,X6)
| X3 != vskolem1063(X4,X2,X5,X1,X6)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
i_0_8 ).
cnf(c_0_141,plain,
( X1 = vskolem1063(vskolem1061(X2,X2,X3,X3),X2,X2,X3,X3)
| X3 = X2
| ~ rcircle(X1)
| ~ rcenter(X3,X1)
| ~ ron(X2,X1)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_133])])]) ).
cnf(c_0_142,plain,
( X1 = X2
| rcenter(X1,vskolem1061(X1,X1,X2,X2))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_134])]) ).
cnf(c_0_143,plain,
( X1 = X2
| rcircle(vskolem1061(X1,X1,X2,X2))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_135])]) ).
cnf(c_0_144,plain,
esk8_2(vd1049,vd1047) = vskolem1061(vd1049,vd1049,vd1047,vd1047),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).
cnf(c_0_145,plain,
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_139])]) ).
cnf(c_0_146,plain,
( X1 = X2
| vf(X1,vskolem1064(X3,X4,X2,X5,X1,X6)) = vf(vskolem1064(X3,X4,X2,X5,X1,X6),X2)
| X2 != X5
| X1 != X6
| X4 != vskolem1061(X2,X5,X1,X6)
| X3 != vskolem1063(X4,X2,X5,X1,X6)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
i_0_7 ).
cnf(c_0_147,plain,
( vf(X1,vskolem1064(vskolem1063(vskolem1061(X2,X2,X1,X1),X2,X2,X1,X1),vskolem1061(X2,X2,X1,X1),X2,X2,X1,X1)) = vf(X2,X1)
| X1 = X2
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_140])])])]) ).
cnf(c_0_148,plain,
( vskolem1061(X1,X1,X2,X2) = vskolem1063(vskolem1061(X3,X3,X1,X1),X3,X3,X1,X1)
| X1 = X2
| X1 = X3
| ~ ron(X3,vskolem1061(X1,X1,X2,X2))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]) ).
cnf(c_0_149,plain,
ron(vd1047,vskolem1061(vd1049,vd1049,vd1047,vd1047)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_144]),c_0_137]),c_0_130])]),c_0_138]) ).
cnf(c_0_150,plain,
( vf(X1,vd1047) = vf(vd1047,X1)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_145,c_0_137]) ).
cnf(c_0_151,plain,
( vf(X1,vskolem1064(vskolem1063(vskolem1061(X2,X2,X1,X1),X2,X2,X1,X1),vskolem1061(X2,X2,X1,X1),X2,X2,X1,X1)) = vf(vskolem1064(vskolem1063(vskolem1061(X2,X2,X1,X1),X2,X2,X1,X1),vskolem1061(X2,X2,X1,X1),X2,X2,X1,X1),X2)
| X1 = X2
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_146])])])]) ).
cnf(c_0_152,plain,
( vf(X1,vskolem1064(vskolem1063(vskolem1061(vd1047,vd1047,X1,X1),vd1047,vd1047,X1,X1),vskolem1061(vd1047,vd1047,X1,X1),vd1047,vd1047,X1,X1)) = vf(vd1047,X1)
| X1 = vd1047
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_147,c_0_137]) ).
cnf(c_0_153,plain,
vskolem1063(vskolem1061(vd1047,vd1047,vd1049,vd1049),vd1047,vd1047,vd1049,vd1049) = vskolem1061(vd1049,vd1049,vd1047,vd1047),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_130]),c_0_137])]),c_0_138]) ).
cnf(c_0_154,plain,
vf(vd1047,vd1049) = vf(vd1049,vd1047),
inference(spm,[status(thm)],[c_0_150,c_0_130]) ).
cnf(c_0_155,plain,
( X1 = X2
| rpoint(vskolem1064(X3,X4,X2,X5,X1,X6))
| X2 != X5
| X1 != X6
| X4 != vskolem1061(X2,X5,X1,X6)
| X3 != vskolem1063(X4,X2,X5,X1,X6)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
i_0_13 ).
cnf(c_0_156,negated_conjecture,
( vf(vd1049,X1) != vf(X1,vd1047)
| vf(vd1047,vd1049) != vf(vd1049,X1)
| ~ rpoint(X1) ),
i_0_1 ).
cnf(c_0_157,plain,
( vf(X1,vskolem1064(vskolem1063(vskolem1061(vd1047,vd1047,X1,X1),vd1047,vd1047,X1,X1),vskolem1061(vd1047,vd1047,X1,X1),vd1047,vd1047,X1,X1)) = vf(vskolem1064(vskolem1063(vskolem1061(vd1047,vd1047,X1,X1),vd1047,vd1047,X1,X1),vskolem1061(vd1047,vd1047,X1,X1),vd1047,vd1047,X1,X1),vd1047)
| X1 = vd1047
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_137]) ).
cnf(c_0_158,plain,
vf(vd1049,vskolem1064(vskolem1061(vd1049,vd1049,vd1047,vd1047),vskolem1061(vd1047,vd1047,vd1049,vd1049),vd1047,vd1047,vd1049,vd1049)) = vf(vd1049,vd1047),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_130]),c_0_153]),c_0_154]),c_0_138]) ).
cnf(c_0_159,plain,
( X1 = X2
| rpoint(vskolem1064(vskolem1063(vskolem1061(X2,X2,X1,X1),X2,X2,X1,X1),vskolem1061(X2,X2,X1,X1),X2,X2,X1,X1))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_155])])])]) ).
cnf(c_0_160,negated_conjecture,
( vf(vd1049,vd1047) != vf(vd1049,X1)
| vf(vd1049,X1) != vf(X1,vd1047)
| ~ rpoint(X1) ),
inference(rw,[status(thm)],[c_0_156,c_0_154]) ).
cnf(c_0_161,plain,
vf(vskolem1064(vskolem1061(vd1049,vd1049,vd1047,vd1047),vskolem1061(vd1047,vd1047,vd1049,vd1049),vd1047,vd1047,vd1049,vd1049),vd1047) = vf(vd1049,vd1047),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_130]),c_0_153]),c_0_158]),c_0_153]),c_0_138]) ).
cnf(c_0_162,plain,
rpoint(vskolem1064(vskolem1061(vd1049,vd1049,vd1047,vd1047),vskolem1061(vd1047,vd1047,vd1049,vd1049),vd1047,vd1047,vd1049,vd1049)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_153]),c_0_130]),c_0_137])]),c_0_138]) ).
cnf(c_0_163,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_158]),c_0_162])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO270+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 02:27:29 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.44 # ENIGMATIC: Selected complete mode:
% 8.81/2.66 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.81/2.66 # No SInE strategy applied
% 8.81/2.66 # Trying AutoSched0 for 150 seconds
% 8.81/2.66 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 8.81/2.66 # and selection function SelectCQArNTNpEqFirst.
% 8.81/2.66 #
% 8.81/2.66 # Preprocessing time : 0.025 s
% 8.81/2.66 # Presaturation interreduction done
% 8.81/2.66
% 8.81/2.66 # Proof found!
% 8.81/2.66 # SZS status Theorem
% 8.81/2.66 # SZS output start CNFRefutation
% See solution above
% 8.81/2.66 # Training examples: 0 positive, 0 negative
% 8.81/2.66
% 8.81/2.66 # -------------------------------------------------
% 8.81/2.66 # User time : 0.202 s
% 8.81/2.66 # System time : 0.010 s
% 8.81/2.66 # Total time : 0.212 s
% 8.81/2.66 # Maximum resident set size: 7124 pages
% 8.81/2.66
%------------------------------------------------------------------------------