%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL657+1.001 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n011.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 04:42:59 PM UTC 2026
% Result : CounterSatisfiable 1.25s 1.71s
% Output : Saturation 1.25s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) )
& ~ p101(X1)
& p100(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(c_0_2,negated_conjecture,
~ ~ ? [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) )
& ~ p101(X1)
& p100(X1) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]) ).
fof(c_0_3,negated_conjecture,
! [X14,X17,X18,X19,X20] :
( ( r1(X14,esk2_1(X14))
| p101(X14)
| ~ p100(X14)
| ~ r1(esk1_0,X14) )
& ( ~ p2(esk2_1(X14))
| p101(X14)
| ~ p100(X14)
| ~ r1(esk1_0,X14) )
& ( ~ p102(esk2_1(X14))
| p101(X14)
| ~ p100(X14)
| ~ r1(esk1_0,X14) )
& ( p101(esk2_1(X14))
| p101(X14)
| ~ p100(X14)
| ~ r1(esk1_0,X14) )
& ( r1(X14,esk3_1(X14))
| p101(X14)
| ~ p100(X14)
| ~ r1(esk1_0,X14) )
& ( p2(esk3_1(X14))
| p101(X14)
| ~ p100(X14)
| ~ r1(esk1_0,X14) )
& ( ~ p102(esk3_1(X14))
| p101(X14)
| ~ p100(X14)
| ~ r1(esk1_0,X14) )
& ( p101(esk3_1(X14))
| p101(X14)
| ~ p100(X14)
| ~ r1(esk1_0,X14) )
& ( ~ r1(X14,X17)
| ~ p2(X17)
| ~ p101(X17)
| p2(X14)
| ~ p101(X14)
| ~ r1(esk1_0,X14) )
& ( ~ r1(X14,X18)
| p2(X18)
| ~ p101(X18)
| ~ p2(X14)
| ~ p101(X14)
| ~ r1(esk1_0,X14) )
& ( ~ r1(X14,X19)
| ~ p1(X19)
| ~ p100(X19)
| p1(X14)
| ~ p100(X14)
| ~ r1(esk1_0,X14) )
& ( ~ r1(X14,X20)
| p1(X20)
| ~ p100(X20)
| ~ p1(X14)
| ~ p100(X14)
| ~ r1(esk1_0,X14) )
& ( p101(X14)
| ~ p102(X14)
| ~ r1(esk1_0,X14) )
& ( p100(X14)
| ~ p101(X14)
| ~ r1(esk1_0,X14) )
& ~ p101(esk1_0)
& p100(esk1_0) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
fof(c_0_4,plain,
! [X12] : r1(X12,X12),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_5,negated_conjecture,
( r1(X1,esk2_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_6,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_7,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_8,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_9,negated_conjecture,
( r1(X1,esk3_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_10,negated_conjecture,
( p1(X1)
| ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2)
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_11,negated_conjecture,
r1(esk1_0,esk2_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),c_0_8]),
[final] ).
cnf(c_0_12,negated_conjecture,
( p101(esk2_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_13,negated_conjecture,
r1(esk1_0,esk3_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_6]),c_0_7])]),c_0_8]),
[final] ).
cnf(c_0_14,negated_conjecture,
( p101(esk3_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_15,negated_conjecture,
( p2(esk3_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_16,negated_conjecture,
( p1(esk2_1(esk1_0))
| ~ p1(X1)
| ~ p100(esk2_1(esk1_0))
| ~ p100(X1)
| ~ r1(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,negated_conjecture,
( p100(X1)
| ~ p101(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_18,negated_conjecture,
p101(esk2_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_6]),c_0_7])]),c_0_8]),
[final] ).
cnf(c_0_19,negated_conjecture,
( p1(esk3_1(esk1_0))
| ~ p1(X1)
| ~ p100(esk3_1(esk1_0))
| ~ p100(X1)
| ~ r1(esk3_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_13]) ).
cnf(c_0_20,negated_conjecture,
p101(esk3_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_6]),c_0_7])]),c_0_8]),
[final] ).
cnf(c_0_21,negated_conjecture,
( p1(esk1_0)
| ~ p1(X1)
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_6]),c_0_7])]),
[final] ).
cnf(c_0_22,negated_conjecture,
( p1(X2)
| ~ r1(X1,X2)
| ~ p100(X2)
| ~ p1(X1)
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_23,negated_conjecture,
( p2(X1)
| ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2)
| ~ p101(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_24,negated_conjecture,
( p2(X2)
| ~ r1(X1,X2)
| ~ p101(X2)
| ~ p2(X1)
| ~ p101(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_25,negated_conjecture,
p2(esk3_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_6]),c_0_7])]),c_0_8]),
[final] ).
cnf(c_0_26,negated_conjecture,
( p1(esk2_1(esk1_0))
| ~ p1(X1)
| ~ p100(X1)
| ~ r1(esk2_1(esk1_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_11])]),
[final] ).
cnf(c_0_27,negated_conjecture,
( p1(esk3_1(esk1_0))
| ~ p1(X1)
| ~ p100(X1)
| ~ r1(esk3_1(esk1_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_17]),c_0_20]),c_0_13])]),
[final] ).
cnf(c_0_28,negated_conjecture,
( p1(esk1_0)
| ~ p1(esk2_1(esk1_0))
| ~ p100(esk2_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_11]),
[final] ).
cnf(c_0_29,negated_conjecture,
( p1(esk1_0)
| ~ p1(esk3_1(esk1_0))
| ~ p100(esk3_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_13]),
[final] ).
cnf(c_0_30,negated_conjecture,
( p1(X1)
| ~ p1(esk1_0)
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_6]),c_0_7])]),
[final] ).
cnf(c_0_31,negated_conjecture,
( p2(esk2_1(esk1_0))
| ~ p101(X1)
| ~ p2(X1)
| ~ r1(esk2_1(esk1_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_11]),c_0_18])]),
[final] ).
cnf(c_0_32,negated_conjecture,
( p1(X1)
| ~ p1(esk2_1(esk1_0))
| ~ p100(esk2_1(esk1_0))
| ~ p100(X1)
| ~ r1(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_11]),
[final] ).
cnf(c_0_33,negated_conjecture,
( p1(X1)
| ~ p1(esk3_1(esk1_0))
| ~ p100(esk3_1(esk1_0))
| ~ p100(X1)
| ~ r1(esk3_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_13]),
[final] ).
cnf(c_0_34,negated_conjecture,
( p2(X1)
| ~ p101(X1)
| ~ r1(esk3_1(esk1_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_13]),c_0_20]),c_0_25])]),
[final] ).
cnf(c_0_35,negated_conjecture,
( p2(X1)
| ~ p101(X1)
| ~ p2(esk2_1(esk1_0))
| ~ r1(esk2_1(esk1_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_11]),c_0_18])]),
[final] ).
cnf(c_0_36,negated_conjecture,
( p101(X1)
| ~ p102(esk3_1(X1))
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_37,negated_conjecture,
( p101(X1)
| ~ p102(esk2_1(X1))
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_38,negated_conjecture,
( p101(X1)
| ~ p2(esk2_1(X1))
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_39,negated_conjecture,
( p101(X1)
| ~ p102(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL657+1.001 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n011.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 22:50:02 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.25/1.71 % Version : CSE_E---1.7
% 1.25/1.71 % Problem : theBenchmark.p
% 1.25/1.71 % SZS status CounterSatisfiable for theBenchmark.p
% 1.25/1.71 % SZS output start Saturation
% See solution above
% 1.25/1.71 % Total time : 1.371s
%------------------------------------------------------------------------------