%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL639+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:13:13 PM UTC 2026
% Result : CounterSatisfiable 0.25s 0.54s
% Output : Saturation 0.25s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_3ERROR: Could not build tree for root c_0_63ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_4,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X3)
| ~ r1(X3,X2)
| p1(X2)
| r1(X2,esk2_3(X1,X3,X2))
| r1(X1,esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_5,negated_conjecture,
r1(esk1_0,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_6,negated_conjecture,
( ~ r1(esk1_0,X1)
| r1(X1,esk6_1(X1))
| r1(X1,esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_7,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ p1(X4)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| p1(X3)
| r1(esk4_1(X1),esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_8,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ p1(X4)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| p1(X3)
| r1(X1,esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_9,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X3)
| ~ r1(X3,X2)
| r1(X2,esk8_3(X1,X3,X2))
| r1(X1,esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_10,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ p1(X4)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| p1(X3)
| p1(esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_11,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| p1(esk8_3(X1,X2,X3))
| r1(X1,esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_12,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| p1(X3)
| r1(X1,esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_13,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk12_0,X2)
| r1(esk12_0,esk3_1(esk12_0))
| r1(X1,esk2_3(esk12_0,X2,X1))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]),
[final] ).
cnf(c_0_14,negated_conjecture,
( r1(esk12_0,esk6_1(esk12_0))
| r1(esk12_0,esk7_1(esk12_0)) ),
inference(spm,[status(thm)],[c_0_6,c_0_5]),
[final] ).
cnf(c_0_15,negated_conjecture,
( ~ r1(X3,X1)
| ~ r1(X1,X2)
| ~ r1(esk12_0,X3)
| ~ p1(X2)
| r1(esk4_1(esk12_0),esk5_1(esk12_0))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_5]),
[final] ).
cnf(c_0_16,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X4)
| ~ r1(X4,X3)
| ~ p1(X2)
| ~ r1(esk9_1(X1),X2)
| r1(X3,esk8_3(X1,X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_17,negated_conjecture,
( ~ r1(esk1_0,X1)
| r1(X1,esk11_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_18,negated_conjecture,
r1(esk12_0,esk14_0),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_19,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X3)
| ~ r1(X3,X4)
| ~ p1(X2)
| ~ r1(esk9_1(X1),X2)
| p1(esk8_3(X1,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_20,negated_conjecture,
( ~ r1(X3,X1)
| ~ r1(X1,X2)
| ~ r1(esk12_0,X3)
| ~ p1(X2)
| r1(esk12_0,esk4_1(esk12_0))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_5]),
[final] ).
cnf(c_0_21,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk12_0,X2)
| r1(esk12_0,esk9_1(esk12_0))
| r1(X1,esk8_3(esk12_0,X2,X1)) ),
inference(spm,[status(thm)],[c_0_9,c_0_5]),
[final] ).
cnf(c_0_22,negated_conjecture,
( ~ r1(X3,X1)
| ~ r1(X1,X2)
| ~ r1(esk12_0,X3)
| ~ p1(X2)
| p1(X1)
| p1(esk5_1(esk12_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_5]),
[final] ).
cnf(c_0_23,negated_conjecture,
r1(esk12_0,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_24,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk12_0,X1)
| r1(esk12_0,esk9_1(esk12_0))
| p1(esk8_3(esk12_0,X1,X2)) ),
inference(spm,[status(thm)],[c_0_11,c_0_5]),
[final] ).
cnf(c_0_25,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk12_0,X2)
| r1(esk12_0,esk10_1(esk12_0))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_5]),
[final] ).
cnf(c_0_26,negated_conjecture,
( ~ r1(esk7_1(esk12_0),X1)
| r1(esk12_0,esk3_1(esk12_0))
| r1(esk12_0,esk6_1(esk12_0))
| r1(X1,esk2_3(esk12_0,esk7_1(esk12_0),X1))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]),
[final] ).
cnf(c_0_27,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk7_1(esk12_0),X1)
| ~ p1(X2)
| r1(esk12_0,esk6_1(esk12_0))
| r1(esk4_1(esk12_0),esk5_1(esk12_0))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_14]),
[final] ).
cnf(c_0_28,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X4)
| ~ r1(X4,X3)
| ~ r1(esk3_1(X1),X2)
| p1(X3)
| r1(X3,esk2_3(X1,X4,X3))
| p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_29,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,esk9_1(X2))
| ~ p1(esk11_1(esk9_1(X2)))
| r1(X1,esk8_3(X2,X3,X1)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]),
[final] ).
cnf(c_0_30,negated_conjecture,
( ~ r1(esk13_0,X1)
| p1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_31,negated_conjecture,
( ~ r1(esk11_1(esk12_0),X1)
| r1(esk12_0,esk3_1(esk12_0))
| r1(X1,esk2_3(esk12_0,esk11_1(esk12_0),X1))
| p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_17]),c_0_5])]),
[final] ).
cnf(c_0_32,negated_conjecture,
( ~ r1(esk14_0,X1)
| r1(esk12_0,esk3_1(esk12_0))
| r1(X1,esk2_3(esk12_0,esk14_0,X1))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_18]),
[final] ).
cnf(c_0_33,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,esk9_1(X1))
| ~ p1(esk11_1(esk9_1(X1)))
| p1(esk8_3(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_19,c_0_17]),
[final] ).
cnf(c_0_34,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X3)
| ~ r1(X3,X2)
| ~ p1(esk3_1(X1))
| p1(X2)
| r1(X2,esk2_3(X1,X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_35,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk7_1(esk12_0),X1)
| ~ p1(X2)
| r1(esk12_0,esk4_1(esk12_0))
| r1(esk12_0,esk6_1(esk12_0))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_14]),
[final] ).
cnf(c_0_36,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk11_1(esk12_0),X1)
| ~ p1(X2)
| r1(esk4_1(esk12_0),esk5_1(esk12_0))
| p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_17]),c_0_5])]),
[final] ).
cnf(c_0_37,negated_conjecture,
( ~ r1(esk7_1(esk12_0),X1)
| r1(esk12_0,esk9_1(esk12_0))
| r1(esk12_0,esk6_1(esk12_0))
| r1(X1,esk8_3(esk12_0,esk7_1(esk12_0),X1)) ),
inference(spm,[status(thm)],[c_0_21,c_0_14]),
[final] ).
cnf(c_0_38,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ p1(esk2_3(X1,X2,X3))
| p1(X3)
| r1(X1,esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_39,negated_conjecture,
( ~ r1(esk11_1(esk12_0),X1)
| r1(esk12_0,esk9_1(esk12_0))
| r1(X1,esk8_3(esk12_0,esk11_1(esk12_0),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_17]),c_0_5])]),
[final] ).
cnf(c_0_40,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X3)
| ~ r1(X3,X4)
| ~ p1(esk2_3(X1,X3,X4))
| ~ r1(esk3_1(X1),X2)
| p1(X4)
| p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_41,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk7_1(esk12_0),X1)
| ~ p1(X2)
| r1(esk12_0,esk6_1(esk12_0))
| p1(X1)
| p1(esk5_1(esk12_0)) ),
inference(spm,[status(thm)],[c_0_22,c_0_14]),
[final] ).
cnf(c_0_42,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk14_0,X1)
| ~ p1(X2)
| r1(esk4_1(esk12_0),esk5_1(esk12_0))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_18]),
[final] ).
cnf(c_0_43,negated_conjecture,
( ~ r1(esk13_0,X1)
| r1(esk12_0,esk9_1(esk12_0))
| r1(X1,esk8_3(esk12_0,esk13_0,X1)) ),
inference(spm,[status(thm)],[c_0_21,c_0_23]),
[final] ).
cnf(c_0_44,negated_conjecture,
( ~ r1(esk14_0,X1)
| r1(esk12_0,esk9_1(esk12_0))
| r1(X1,esk8_3(esk12_0,esk14_0,X1)) ),
inference(spm,[status(thm)],[c_0_21,c_0_18]),
[final] ).
cnf(c_0_45,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk11_1(esk12_0),X1)
| ~ p1(X2)
| r1(esk12_0,esk4_1(esk12_0))
| p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_17]),c_0_5])]),
[final] ).
cnf(c_0_46,negated_conjecture,
( ~ r1(esk7_1(esk12_0),X1)
| r1(esk12_0,esk9_1(esk12_0))
| r1(esk12_0,esk6_1(esk12_0))
| p1(esk8_3(esk12_0,esk7_1(esk12_0),X1)) ),
inference(spm,[status(thm)],[c_0_24,c_0_14]),
[final] ).
cnf(c_0_47,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk14_0,X1)
| ~ p1(X2)
| r1(esk12_0,esk4_1(esk12_0))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_18]),
[final] ).
cnf(c_0_48,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ p1(X4)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ p1(esk4_1(X1))
| p1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_49,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ p1(esk2_3(X1,X2,X3))
| ~ p1(esk3_1(X1))
| p1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_50,negated_conjecture,
( ~ r1(esk11_1(esk12_0),X1)
| r1(esk12_0,esk9_1(esk12_0))
| p1(esk8_3(esk12_0,esk11_1(esk12_0),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_17]),c_0_5])]),
[final] ).
cnf(c_0_51,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk11_1(esk12_0),X1)
| ~ p1(X2)
| p1(X1)
| p1(esk5_1(esk12_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_17]),c_0_5])]),
[final] ).
cnf(c_0_52,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk14_0,X1)
| ~ p1(X2)
| p1(X1)
| p1(esk5_1(esk12_0)) ),
inference(spm,[status(thm)],[c_0_22,c_0_18]),
[final] ).
cnf(c_0_53,negated_conjecture,
( ~ r1(esk13_0,X1)
| r1(esk12_0,esk9_1(esk12_0))
| p1(esk8_3(esk12_0,esk13_0,X1)) ),
inference(spm,[status(thm)],[c_0_24,c_0_23]),
[final] ).
cnf(c_0_54,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ p1(esk10_1(X1))
| p1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_55,negated_conjecture,
( ~ r1(esk14_0,X1)
| r1(esk12_0,esk9_1(esk12_0))
| p1(esk8_3(esk12_0,esk14_0,X1)) ),
inference(spm,[status(thm)],[c_0_24,c_0_18]),
[final] ).
cnf(c_0_56,negated_conjecture,
( ~ r1(esk7_1(esk12_0),X1)
| r1(esk12_0,esk10_1(esk12_0))
| r1(esk12_0,esk6_1(esk12_0))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_14]),
[final] ).
cnf(c_0_57,negated_conjecture,
( ~ r1(esk11_1(esk12_0),X1)
| r1(esk12_0,esk10_1(esk12_0))
| p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_17]),c_0_5])]),
[final] ).
cnf(c_0_58,negated_conjecture,
( ~ r1(esk14_0,X1)
| r1(esk12_0,esk10_1(esk12_0))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_18]),
[final] ).
cnf(c_0_59,negated_conjecture,
( ~ r1(esk1_0,X1)
| p1(esk6_1(X1))
| r1(X1,esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_60,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ p1(esk7_1(X1))
| r1(X1,esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_61,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ p1(esk7_1(X1))
| p1(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_62,negated_conjecture,
~ p1(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_63,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk1_0,esk1_0)
| ~ r1(esk11_1(esk1_0),X2)
| r1(X1,esk2_3(esk11_1(esk1_0),X2,X1))
| r1(esk11_1(esk1_0),esk3_1(esk11_1(esk1_0)))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_4,c_0_17]),
[final] ).
cnf(c_0_64,negated_conjecture,
( ~ r1(esk1_0,esk7_1(esk12_0))
| r1(esk12_0,esk6_1(esk12_0))
| r1(esk12_0,esk3_1(esk12_0))
| r1(esk11_1(esk7_1(esk12_0)),esk2_3(esk12_0,esk7_1(esk12_0),esk11_1(esk7_1(esk12_0))))
| p1(esk11_1(esk7_1(esk12_0))) ),
inference(spm,[status(thm)],[c_0_26,c_0_17]),
[final] ).
cnf(c_0_65,negated_conjecture,
( ~ r1(esk1_0,esk7_1(esk12_0))
| ~ r1(esk11_1(esk7_1(esk12_0)),X1)
| ~ p1(X1)
| r1(esk12_0,esk6_1(esk12_0))
| r1(esk4_1(esk12_0),esk5_1(esk12_0))
| p1(esk11_1(esk7_1(esk12_0))) ),
inference(spm,[status(thm)],[c_0_27,c_0_17]),
[final] ).
cnf(c_0_66,negated_conjecture,
( ~ r1(X1,X3)
| ~ r1(X3,X2)
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,esk3_1(X1))
| r1(X2,esk2_3(X1,X3,X2))
| p1(X2)
| p1(esk11_1(esk3_1(X1))) ),
inference(spm,[status(thm)],[c_0_28,c_0_17]),
[final] ).
cnf(c_0_67,negated_conjecture,
( ~ r1(X3,X1)
| ~ r1(X1,X2)
| ~ r1(esk1_0,esk1_0)
| ~ r1(esk11_1(esk1_0),X3)
| ~ p1(X2)
| r1(esk4_1(esk11_1(esk1_0)),esk5_1(esk11_1(esk1_0)))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_17]),
[final] ).
cnf(c_0_68,negated_conjecture,
( ~ r1(X3,X1)
| ~ r1(X1,X2)
| ~ r1(esk1_0,esk1_0)
| ~ r1(esk11_1(esk1_0),X3)
| ~ p1(X2)
| r1(esk11_1(esk1_0),esk4_1(esk11_1(esk1_0)))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_17]),
[final] ).
cnf(c_0_69,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,esk9_1(X2))
| ~ r1(esk13_0,esk11_1(esk9_1(X2)))
| r1(X1,esk8_3(X2,X3,X1)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]),
[final] ).
cnf(c_0_70,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk1_0,esk1_0)
| ~ r1(esk11_1(esk1_0),X2)
| r1(X1,esk8_3(esk11_1(esk1_0),X2,X1))
| r1(esk11_1(esk1_0),esk9_1(esk11_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_9,c_0_17]),
[final] ).
cnf(c_0_71,negated_conjecture,
( ~ r1(esk1_0,esk11_1(esk12_0))
| r1(esk12_0,esk3_1(esk12_0))
| r1(esk11_1(esk11_1(esk12_0)),esk2_3(esk12_0,esk11_1(esk12_0),esk11_1(esk11_1(esk12_0))))
| p1(esk11_1(esk11_1(esk12_0))) ),
inference(spm,[status(thm)],[c_0_31,c_0_17]),
[final] ).
cnf(c_0_72,negated_conjecture,
( ~ r1(esk1_0,esk14_0)
| r1(esk12_0,esk3_1(esk12_0))
| r1(esk11_1(esk14_0),esk2_3(esk12_0,esk14_0,esk11_1(esk14_0)))
| p1(esk11_1(esk14_0)) ),
inference(spm,[status(thm)],[c_0_32,c_0_17]),
[final] ).
cnf(c_0_73,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,esk9_1(X1))
| ~ r1(esk13_0,esk11_1(esk9_1(X1)))
| p1(esk8_3(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_33,c_0_30]),
[final] ).
cnf(c_0_74,negated_conjecture,
( ~ r1(X3,X1)
| ~ r1(X1,X2)
| ~ r1(esk1_0,esk1_0)
| ~ r1(esk11_1(esk1_0),X3)
| ~ p1(X2)
| p1(X1)
| p1(esk5_1(esk11_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_10,c_0_17]),
[final] ).
cnf(c_0_75,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| ~ r1(esk13_0,esk3_1(X2))
| r1(X1,esk2_3(X2,X3,X1))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_30]),
[final] ).
cnf(c_0_76,negated_conjecture,
( ~ r1(esk1_0,esk7_1(esk12_0))
| ~ r1(esk11_1(esk7_1(esk12_0)),X1)
| ~ p1(X1)
| r1(esk12_0,esk6_1(esk12_0))
| r1(esk12_0,esk4_1(esk12_0))
| p1(esk11_1(esk7_1(esk12_0))) ),
inference(spm,[status(thm)],[c_0_35,c_0_17]),
[final] ).
cnf(c_0_77,negated_conjecture,
( ~ r1(esk1_0,esk11_1(esk12_0))
| ~ r1(esk11_1(esk11_1(esk12_0)),X1)
| ~ p1(X1)
| r1(esk4_1(esk12_0),esk5_1(esk12_0))
| p1(esk11_1(esk11_1(esk12_0))) ),
inference(spm,[status(thm)],[c_0_36,c_0_17]),
[final] ).
cnf(c_0_78,negated_conjecture,
( ~ r1(esk1_0,esk7_1(esk12_0))
| r1(esk12_0,esk6_1(esk12_0))
| r1(esk12_0,esk9_1(esk12_0))
| r1(esk11_1(esk7_1(esk12_0)),esk8_3(esk12_0,esk7_1(esk12_0),esk11_1(esk7_1(esk12_0)))) ),
inference(spm,[status(thm)],[c_0_37,c_0_17]),
[final] ).
cnf(c_0_79,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| ~ r1(esk13_0,esk2_3(X2,X3,X1))
| r1(X2,esk3_1(X2))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_30]),
[final] ).
cnf(c_0_80,negated_conjecture,
( ~ r1(esk1_0,esk11_1(esk12_0))
| r1(esk12_0,esk9_1(esk12_0))
| r1(esk11_1(esk11_1(esk12_0)),esk8_3(esk12_0,esk11_1(esk12_0),esk11_1(esk11_1(esk12_0)))) ),
inference(spm,[status(thm)],[c_0_39,c_0_17]),
[final] ).
cnf(c_0_81,negated_conjecture,
( ~ r1(X3,X4)
| ~ r1(X4,X2)
| ~ r1(esk1_0,X3)
| ~ r1(esk3_1(X3),X1)
| ~ r1(esk13_0,esk2_3(X3,X4,X2))
| p1(X2)
| p1(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_30]),
[final] ).
cnf(c_0_82,negated_conjecture,
( ~ r1(esk1_0,esk7_1(esk12_0))
| ~ r1(esk11_1(esk7_1(esk12_0)),X1)
| ~ p1(X1)
| r1(esk12_0,esk6_1(esk12_0))
| p1(esk5_1(esk12_0))
| p1(esk11_1(esk7_1(esk12_0))) ),
inference(spm,[status(thm)],[c_0_41,c_0_17]),
[final] ).
cnf(c_0_83,negated_conjecture,
( ~ r1(esk1_0,esk14_0)
| ~ r1(esk11_1(esk14_0),X1)
| ~ p1(X1)
| r1(esk4_1(esk12_0),esk5_1(esk12_0))
| p1(esk11_1(esk14_0)) ),
inference(spm,[status(thm)],[c_0_42,c_0_17]),
[final] ).
cnf(c_0_84,negated_conjecture,
( ~ r1(esk1_0,esk13_0)
| r1(esk12_0,esk9_1(esk12_0))
| r1(esk11_1(esk13_0),esk8_3(esk12_0,esk13_0,esk11_1(esk13_0))) ),
inference(spm,[status(thm)],[c_0_43,c_0_17]),
[final] ).
cnf(c_0_85,negated_conjecture,
( ~ r1(esk1_0,esk14_0)
| r1(esk12_0,esk9_1(esk12_0))
| r1(esk11_1(esk14_0),esk8_3(esk12_0,esk14_0,esk11_1(esk14_0))) ),
inference(spm,[status(thm)],[c_0_44,c_0_17]),
[final] ).
cnf(c_0_86,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk1_0)
| ~ r1(esk11_1(esk1_0),X1)
| r1(esk11_1(esk1_0),esk9_1(esk11_1(esk1_0)))
| p1(esk8_3(esk11_1(esk1_0),X1,X2)) ),
inference(spm,[status(thm)],[c_0_11,c_0_17]),
[final] ).
cnf(c_0_87,negated_conjecture,
( ~ r1(esk1_0,esk11_1(esk12_0))
| ~ r1(esk11_1(esk11_1(esk12_0)),X1)
| ~ p1(X1)
| r1(esk12_0,esk4_1(esk12_0))
| p1(esk11_1(esk11_1(esk12_0))) ),
inference(spm,[status(thm)],[c_0_45,c_0_17]),
[final] ).
cnf(c_0_88,negated_conjecture,
( ~ r1(esk1_0,esk7_1(esk12_0))
| r1(esk12_0,esk6_1(esk12_0))
| r1(esk12_0,esk9_1(esk12_0))
| p1(esk8_3(esk12_0,esk7_1(esk12_0),esk11_1(esk7_1(esk12_0)))) ),
inference(spm,[status(thm)],[c_0_46,c_0_17]),
[final] ).
cnf(c_0_89,negated_conjecture,
( ~ r1(esk1_0,esk14_0)
| ~ r1(esk11_1(esk14_0),X1)
| ~ p1(X1)
| r1(esk12_0,esk4_1(esk12_0))
| p1(esk11_1(esk14_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_17]),
[final] ).
cnf(c_0_90,negated_conjecture,
( ~ r1(X3,X4)
| ~ r1(X4,X1)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X3)
| ~ r1(esk13_0,esk4_1(X3))
| ~ p1(X2)
| p1(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_30]),
[final] ).
cnf(c_0_91,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| ~ r1(esk13_0,esk2_3(X2,X3,X1))
| ~ p1(esk3_1(X2))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_30]),
[final] ).
cnf(c_0_92,negated_conjecture,
( ~ r1(esk1_0,esk11_1(esk12_0))
| r1(esk12_0,esk9_1(esk12_0))
| p1(esk8_3(esk12_0,esk11_1(esk12_0),esk11_1(esk11_1(esk12_0)))) ),
inference(spm,[status(thm)],[c_0_50,c_0_17]),
[final] ).
cnf(c_0_93,negated_conjecture,
( ~ r1(esk1_0,esk11_1(esk12_0))
| ~ r1(esk11_1(esk11_1(esk12_0)),X1)
| ~ p1(X1)
| p1(esk5_1(esk12_0))
| p1(esk11_1(esk11_1(esk12_0))) ),
inference(spm,[status(thm)],[c_0_51,c_0_17]),
[final] ).
cnf(c_0_94,negated_conjecture,
( ~ r1(esk1_0,esk14_0)
| ~ r1(esk11_1(esk14_0),X1)
| ~ p1(X1)
| p1(esk5_1(esk12_0))
| p1(esk11_1(esk14_0)) ),
inference(spm,[status(thm)],[c_0_52,c_0_17]),
[final] ).
cnf(c_0_95,negated_conjecture,
( ~ r1(esk1_0,esk13_0)
| r1(esk12_0,esk9_1(esk12_0))
| p1(esk8_3(esk12_0,esk13_0,esk11_1(esk13_0))) ),
inference(spm,[status(thm)],[c_0_53,c_0_17]),
[final] ).
cnf(c_0_96,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| ~ r1(esk13_0,esk10_1(X2))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_30]),
[final] ).
cnf(c_0_97,negated_conjecture,
( ~ r1(esk1_0,esk14_0)
| r1(esk12_0,esk9_1(esk12_0))
| p1(esk8_3(esk12_0,esk14_0,esk11_1(esk14_0))) ),
inference(spm,[status(thm)],[c_0_55,c_0_17]),
[final] ).
cnf(c_0_98,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk1_0,esk1_0)
| ~ r1(esk11_1(esk1_0),X2)
| r1(esk11_1(esk1_0),esk10_1(esk11_1(esk1_0)))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_17]),
[final] ).
cnf(c_0_99,negated_conjecture,
( ~ r1(esk1_0,esk7_1(esk12_0))
| r1(esk12_0,esk6_1(esk12_0))
| r1(esk12_0,esk10_1(esk12_0))
| p1(esk11_1(esk7_1(esk12_0))) ),
inference(spm,[status(thm)],[c_0_56,c_0_17]),
[final] ).
cnf(c_0_100,negated_conjecture,
( ~ r1(esk1_0,esk11_1(esk12_0))
| r1(esk12_0,esk10_1(esk12_0))
| p1(esk11_1(esk11_1(esk12_0))) ),
inference(spm,[status(thm)],[c_0_57,c_0_17]),
[final] ).
cnf(c_0_101,negated_conjecture,
( ~ r1(esk1_0,esk14_0)
| r1(esk12_0,esk10_1(esk12_0))
| p1(esk11_1(esk14_0)) ),
inference(spm,[status(thm)],[c_0_58,c_0_17]),
[final] ).
cnf(c_0_102,negated_conjecture,
( ~ r1(esk1_0,esk1_0)
| r1(esk11_1(esk1_0),esk7_1(esk11_1(esk1_0)))
| p1(esk6_1(esk11_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_59,c_0_17]),
[final] ).
cnf(c_0_103,negated_conjecture,
( r1(esk12_0,esk7_1(esk12_0))
| p1(esk6_1(esk12_0)) ),
inference(spm,[status(thm)],[c_0_59,c_0_5]),
[final] ).
cnf(c_0_104,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(esk13_0,esk7_1(X1))
| r1(X1,esk6_1(X1)) ),
inference(spm,[status(thm)],[c_0_60,c_0_30]),
[final] ).
cnf(c_0_105,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(esk13_0,esk7_1(X1))
| p1(esk6_1(X1)) ),
inference(spm,[status(thm)],[c_0_61,c_0_30]),
[final] ).
cnf(c_0_106,negated_conjecture,
( ~ r1(esk1_0,esk1_0)
| r1(esk11_1(esk1_0),esk6_1(esk11_1(esk1_0)))
| r1(esk11_1(esk1_0),esk7_1(esk11_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_6,c_0_17]),
[final] ).
cnf(c_0_107,negated_conjecture,
~ r1(esk13_0,esk14_0),
inference(spm,[status(thm)],[c_0_62,c_0_30]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL639+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.42 % Computer : n002.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Mon Sep 21 00:45:16 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.48 Running first-order theorem proving
% 0.18/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.54 % Version: 3.5.1
% 0.25/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.25/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.25/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.25/0.54 % Starting sh5l with 300s (1) cores
% 0.25/0.54 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2089363 completed with status 1
% 0.25/0.54 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.25/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.25/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.25/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.54 % No SInE strategy applied
% 0.25/0.54 % Search class: FGUNF-FFMS31-SFFFFFNN
% 0.25/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.25/0.54 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.25/0.54 % Starting new_bool_3 with 136s (1) cores
% 0.25/0.54 % Starting new_bool_1 with 136s (1) cores
% 0.25/0.54 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2089369 completed with status 1
% 0.25/0.54 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.25/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.25/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.25/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.54 % No SInE strategy applied
% 0.25/0.54 % Search class: FGUNF-FFMS31-SFFFFFNN
% 0.25/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.25/0.54 % Preprocessing time : 0.002 s
% 0.25/0.54 % Presaturation interreduction done
% 0.25/0.54
% 0.25/0.54 % No proof found!
% 0.25/0.54 % SZS status CounterSatisfiable
% 0.25/0.54 % SZS output start Saturation
% See solution above
% 0.25/0.54 % Parsed axioms : 1
% 0.25/0.54 % Removed by relevancy pruning/SinE : 0
% 0.25/0.54 % Initial clauses : 27
% 0.25/0.54 % Removed in clause preprocessing : 1
% 0.25/0.54 % Initial clauses in saturation : 26
% 0.25/0.54 % Processed clauses : 135
% 0.25/0.54 % ...of these trivial : 0
% 0.25/0.54 % ...subsumed : 5
% 0.25/0.54 % ...remaining for further processing : 130
% 0.25/0.54 % Other redundant clauses eliminated : 0
% 0.25/0.54 % Clauses deleted for lack of memory : 0
% 0.25/0.54 % Backward-subsumed : 0
% 0.25/0.54 % Backward-rewritten : 0
% 0.25/0.54 % Generated clauses : 83
% 0.25/0.54 % ...of the previous two non-redundant : 83
% 0.25/0.54 % ...aggressively subsumed : 0
% 0.25/0.54 % Contextual simplify-reflections : 0
% 0.25/0.54 % Paramodulations : 83
% 0.25/0.54 % Factorizations : 0
% 0.25/0.54 % NegExts : 0
% 0.25/0.54 % Equation resolutions : 0
% 0.25/0.54 % Disequality decompositions : 0
% 0.25/0.54 % Total rewrite steps : 7
% 0.25/0.54 % ...of those cached : 6
% 0.25/0.54 % Propositional unsat checks : 0
% 0.25/0.54 % Propositional check models : 0
% 0.25/0.54 % Propositional check unsatisfiable : 0
% 0.25/0.54 % Propositional clauses : 0
% 0.25/0.54 % Propositional clauses after purity: 0
% 0.25/0.54 % Propositional unsat core size : 0
% 0.25/0.54 % Propositional preprocessing time : 0.000
% 0.25/0.54 % Propositional encoding time : 0.000
% 0.25/0.54 % Propositional solver time : 0.000
% 0.25/0.54 % Success case prop preproc time : 0.000
% 0.25/0.54 % Success case prop encoding time : 0.000
% 0.25/0.54 % Success case prop solver time : 0.000
% 0.25/0.54 % Current number of processed clauses : 104
% 0.25/0.54 % Positive orientable unit clauses : 3
% 0.25/0.54 % Positive unorientable unit clauses: 0
% 0.25/0.54 % Negative unit clauses : 2
% 0.25/0.54 % Non-unit-clauses : 99
% 0.25/0.54 % Current number of unprocessed clauses: 0
% 0.25/0.54 % ...number of literals in the above : 0
% 0.25/0.54 % Current number of archived formulas : 0
% 0.25/0.54 % Current number of archived clauses : 26
% 0.25/0.54 % Clause-clause subsumption calls (NU) : 2047
% 0.25/0.54 % Rec. Clause-clause subsumption calls : 322
% 0.25/0.54 % Non-unit clause-clause subsumptions : 5
% 0.25/0.54 % Unit Clause-clause subsumption calls : 4
% 0.25/0.54 % Rewrite failures with RHS unbound : 0
% 0.25/0.54 % BW rewrite match attempts : 0
% 0.25/0.54 % BW rewrite match successes : 0
% 0.25/0.54 % Condensation attempts : 0
% 0.25/0.54 % Condensation successes : 0
% 0.25/0.54 % Termbank termtop insertions : 6000
% 0.25/0.54 % Search garbage collected termcells : 546
% 0.25/0.54
% 0.25/0.54 % -------------------------------------------------
% 0.25/0.54 % User time : 0.023 s
% 0.25/0.54 % System time : 0.009 s
% 0.25/0.54 % Total time : 0.032 s
% 0.25/0.54 % Maximum resident set size: 3328 pages
% 0.25/0.54
% 0.25/0.54 % -------------------------------------------------
% 0.25/0.54 % User time : 0.109 s
% 0.25/0.54 % System time : 0.028 s
% 0.25/0.54 % Total time : 0.137 s
% 0.25/0.54 % Maximum resident set size: 4608 pages
% 0.25/0.54 % E exiting
%------------------------------------------------------------------------------