%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO661+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n010.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 : 300s
% DateTime : Tue May 5 06:23:57 PM UTC 2026
% Result : Satisfiable 7.50s 2.33s
% Output : Saturation 7.50s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sbseoukz/input.p',i_0_2) ).
cnf(i_0_1,plain,
equidistant(X1,X2,X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sbseoukz/input.p',i_0_1) ).
cnf(i_0_16,plain,
( equidistant(X1,X2,X1,esk9_6(X1,X3,X4,X5,X6,X2))
| ~ between(X3,X2,X5)
| ~ between(X1,X3,X5)
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X3,X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sbseoukz/input.p',i_0_16) ).
cnf(i_0_17,plain,
( between(X1,esk9_6(X2,X3,X1,X4,X5,X6),X5)
| ~ between(X3,X6,X4)
| ~ between(X2,X3,X4)
| ~ equidistant(X2,X4,X2,X5)
| ~ equidistant(X2,X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sbseoukz/input.p',i_0_17) ).
cnf(i_0_5,plain,
( X1 = X2
| equidistant(X3,X4,X5,X6)
| ~ between(X7,X8,X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X2,X4,X8,X6)
| ~ equidistant(X2,X3,X8,X5)
| ~ equidistant(X1,X4,X7,X6)
| ~ equidistant(X1,X2,X7,X8) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sbseoukz/input.p',i_0_5) ).
cnf(i_0_13,plain,
( X1 = X2
| between(esk7_5(X1,X2,X3,X4,X5),X3,esk8_5(X1,X2,X3,X4,X5))
| ~ between(X4,X2,X5)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sbseoukz/input.p',i_0_13) ).
cnf(i_0_12,plain,
( X1 = X2
| between(X3,X4,X5)
| between(X5,X3,X4)
| between(X4,X5,X3)
| ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X5,X1,X5,X2)
| ~ equidistant(X4,X1,X4,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sbseoukz/input.p',i_0_12) ).
cnf(i_0_14,plain,
( X1 = X2
| between(X1,X3,esk8_5(X1,X2,X4,X5,X3))
| ~ between(X5,X2,X3)
| ~ between(X1,X2,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sbseoukz/input.p',i_0_14) ).
cnf(i_0_15,plain,
( X1 = X2
| between(X1,X3,esk7_5(X1,X2,X4,X3,X5))
| ~ between(X3,X2,X5)
| ~ between(X1,X2,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sbseoukz/input.p',i_0_15) ).
cnf(i_0_8,plain,
( between(X1,esk3_5(X2,X1,X3,X4,X5),X4)
| ~ between(X4,X5,X3)
| ~ between(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sbseoukz/input.p',i_0_8) ).
cnf(i_0_7,plain,
( between(X1,esk3_5(X2,X3,X4,X5,X1),X2)
| ~ between(X5,X1,X4)
| ~ between(X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sbseoukz/input.p',i_0_7) ).
cnf(i_0_4,plain,
( equidistant(X1,esk2_4(X2,X1,X3,X4),X3,X4)
| ~ between(X2,X1,esk1_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sbseoukz/input.p',i_0_4) ).
cnf(i_0_6,plain,
( X1 = X2
| ~ between(X1,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sbseoukz/input.p',i_0_6) ).
cnf(i_0_3,plain,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sbseoukz/input.p',i_0_3) ).
cnf(i_0_9,plain,
~ between(esk6_0,esk4_0,esk5_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sbseoukz/input.p',i_0_9) ).
cnf(i_0_10,plain,
~ between(esk5_0,esk6_0,esk4_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sbseoukz/input.p',i_0_10) ).
cnf(i_0_11,plain,
~ between(esk4_0,esk5_0,esk6_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sbseoukz/input.p',i_0_11) ).
cnf(c_0_35,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
i_0_2,
[final] ).
cnf(c_0_36,plain,
equidistant(X1,X2,X2,X1),
i_0_1,
[final] ).
cnf(c_0_37,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X4,X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]),
[final] ).
cnf(c_0_38,plain,
( equidistant(X1,X2,X1,esk9_6(X1,X3,X4,X5,X6,X2))
| ~ between(X3,X2,X5)
| ~ between(X1,X3,X5)
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X3,X1,X4) ),
i_0_16,
[final] ).
cnf(c_0_39,plain,
equidistant(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_37,c_0_36]),
[final] ).
cnf(c_0_40,plain,
( between(X1,esk9_6(X2,X3,X1,X4,X5,X6),X5)
| ~ between(X3,X6,X4)
| ~ between(X2,X3,X4)
| ~ equidistant(X2,X4,X2,X5)
| ~ equidistant(X2,X3,X2,X1) ),
i_0_17,
[final] ).
cnf(c_0_41,plain,
( X1 = X2
| equidistant(X3,X4,X5,X6)
| ~ between(X7,X8,X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X2,X4,X8,X6)
| ~ equidistant(X2,X3,X8,X5)
| ~ equidistant(X1,X4,X7,X6)
| ~ equidistant(X1,X2,X7,X8) ),
i_0_5,
[final] ).
cnf(c_0_42,plain,
( equidistant(X1,X2,X1,esk9_6(X1,X3,X4,X5,X5,X2))
| ~ between(X3,X2,X5)
| ~ between(X1,X3,X5)
| ~ equidistant(X1,X3,X1,X4) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]),
[final] ).
cnf(c_0_43,plain,
( between(X1,esk9_6(X2,X3,X1,X4,X4,X5),X4)
| ~ between(X3,X5,X4)
| ~ between(X2,X3,X4)
| ~ equidistant(X2,X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_39]),
[final] ).
cnf(c_0_44,plain,
( X1 = X2
| equidistant(X3,X4,X5,X2)
| ~ between(X6,X4,X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X2,X3,X4,X5)
| ~ equidistant(X1,X4,X6,X2)
| ~ equidistant(X1,X2,X6,X4) ),
inference(spm,[status(thm)],[c_0_41,c_0_36]),
[final] ).
cnf(c_0_45,plain,
( equidistant(X1,X2,X1,esk9_6(X1,X3,X3,X4,X4,X2))
| ~ between(X3,X2,X4)
| ~ between(X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_42,c_0_39]),
[final] ).
cnf(c_0_46,plain,
( between(X1,esk9_6(X2,X1,X1,X3,X3,X4),X3)
| ~ between(X1,X4,X3)
| ~ between(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_39]),
[final] ).
cnf(c_0_47,plain,
( X1 = X2
| equidistant(X3,X4,X5,X4)
| ~ between(X6,X2,X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X2,X3,X2,X5)
| ~ equidistant(X1,X4,X6,X4)
| ~ equidistant(X1,X2,X6,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_39]),
[final] ).
cnf(c_0_48,plain,
( X1 = X2
| equidistant(X3,X3,X2,X2)
| ~ between(X4,X3,X2)
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X3,X4,X2)
| ~ equidistant(X1,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_44,c_0_36]),
[final] ).
cnf(c_0_49,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_39]),
[final] ).
cnf(c_0_50,plain,
( X1 = X2
| between(esk7_5(X1,X2,X3,X4,X5),X3,esk8_5(X1,X2,X3,X4,X5))
| ~ between(X4,X2,X5)
| ~ between(X1,X2,X3) ),
i_0_13,
[final] ).
cnf(c_0_51,plain,
( X1 = X2
| between(X3,X4,X5)
| between(X5,X3,X4)
| between(X4,X5,X3)
| ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X5,X1,X5,X2)
| ~ equidistant(X4,X1,X4,X2) ),
i_0_12,
[final] ).
cnf(c_0_52,plain,
( X1 = X2
| between(X1,X3,esk8_5(X1,X2,X4,X5,X3))
| ~ between(X5,X2,X3)
| ~ between(X1,X2,X4) ),
i_0_14,
[final] ).
cnf(c_0_53,plain,
( X1 = X2
| between(X1,X3,esk7_5(X1,X2,X4,X3,X5))
| ~ between(X3,X2,X5)
| ~ between(X1,X2,X4) ),
i_0_15,
[final] ).
cnf(c_0_54,plain,
( between(X1,esk3_5(X2,X1,X3,X4,X5),X4)
| ~ between(X4,X5,X3)
| ~ between(X2,X1,X3) ),
i_0_8,
[final] ).
cnf(c_0_55,plain,
( between(X1,esk3_5(X2,X3,X4,X5,X1),X2)
| ~ between(X5,X1,X4)
| ~ between(X2,X3,X4) ),
i_0_7,
[final] ).
cnf(c_0_56,plain,
( equidistant(X1,esk2_4(X2,X1,X3,X4),X3,X4)
| ~ between(X2,X1,esk1_2(X2,X1)) ),
i_0_4,
[final] ).
cnf(c_0_57,plain,
( X1 = X2
| ~ between(X1,X2,X1) ),
i_0_6,
[final] ).
cnf(c_0_58,plain,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
i_0_3,
[final] ).
cnf(c_0_59,plain,
~ between(esk6_0,esk4_0,esk5_0),
i_0_9,
[final] ).
cnf(c_0_60,plain,
~ between(esk5_0,esk6_0,esk4_0),
i_0_10,
[final] ).
cnf(c_0_61,plain,
~ between(esk4_0,esk5_0,esk6_0),
i_0_11,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO661+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.15/0.34 % Computer : n010.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon May 4 20:59:23 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 7.50/2.33 # ENIGMATIC: Solved by paramils045:
% 7.50/2.33 # Preprocessing time : 0.011 s
% 7.50/2.33
% 7.50/2.33 # No proof found!
% 7.50/2.33 # SZS status Satisfiable
% 7.50/2.33 # SZS output start Saturation
% See solution above
% 7.50/2.33
% 7.50/2.33 # -------------------------------------------------
% 7.50/2.33 # User time : 0.012 s
% 7.50/2.33 # System time : 0.002 s
% 7.50/2.33 # Total time : 0.013 s
% 7.50/2.33 # ...preprocessing : 0.011 s
% 7.50/2.33 # ...main loop : 0.002 s
% 7.50/2.33 # Maximum resident set size: 7148 pages
% 7.50/2.33
%------------------------------------------------------------------------------