%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL675+1.001 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n028.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 04:44:44 PM UTC 2026
% Result : CounterSatisfiable 1.27s 1.70s
% Output : Saturation 1.27s
% 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/sandbox/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(transitivity,axiom,
! [X1,X2,X3] :
( ( r1(X1,X2)
& r1(X2,X3) )
=> r1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(c_0_3,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_4,negated_conjecture,
! [X21,X24,X25,X26,X27] :
( ( r1(X21,esk2_1(X21))
| p101(X21)
| ~ p100(X21)
| ~ r1(esk1_0,X21) )
& ( ~ p2(esk2_1(X21))
| p101(X21)
| ~ p100(X21)
| ~ r1(esk1_0,X21) )
& ( ~ p102(esk2_1(X21))
| p101(X21)
| ~ p100(X21)
| ~ r1(esk1_0,X21) )
& ( p101(esk2_1(X21))
| p101(X21)
| ~ p100(X21)
| ~ r1(esk1_0,X21) )
& ( r1(X21,esk3_1(X21))
| p101(X21)
| ~ p100(X21)
| ~ r1(esk1_0,X21) )
& ( p2(esk3_1(X21))
| p101(X21)
| ~ p100(X21)
| ~ r1(esk1_0,X21) )
& ( ~ p102(esk3_1(X21))
| p101(X21)
| ~ p100(X21)
| ~ r1(esk1_0,X21) )
& ( p101(esk3_1(X21))
| p101(X21)
| ~ p100(X21)
| ~ r1(esk1_0,X21) )
& ( ~ r1(X21,X24)
| ~ p2(X24)
| ~ p101(X24)
| p2(X21)
| ~ p101(X21)
| ~ r1(esk1_0,X21) )
& ( ~ r1(X21,X25)
| p2(X25)
| ~ p101(X25)
| ~ p2(X21)
| ~ p101(X21)
| ~ r1(esk1_0,X21) )
& ( ~ r1(X21,X26)
| ~ p1(X26)
| ~ p100(X26)
| p1(X21)
| ~ p100(X21)
| ~ r1(esk1_0,X21) )
& ( ~ r1(X21,X27)
| p1(X27)
| ~ p100(X27)
| ~ p1(X21)
| ~ p100(X21)
| ~ r1(esk1_0,X21) )
& ( p101(X21)
| ~ p102(X21)
| ~ r1(esk1_0,X21) )
& ( p100(X21)
| ~ p101(X21)
| ~ r1(esk1_0,X21) )
& ~ 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_3])])])])]) ).
fof(c_0_5,plain,
! [X16] : r1(X16,X16),
inference(variable_rename,[status(thm)],[reflexivity]) ).
fof(c_0_6,plain,
! [X17,X18,X19] :
( ~ r1(X17,X18)
| ~ r1(X18,X19)
| r1(X17,X19) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity])]) ).
cnf(c_0_7,negated_conjecture,
( r1(X1,esk2_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_8,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_5]),
[final] ).
cnf(c_0_9,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_10,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_11,negated_conjecture,
( r1(X1,esk3_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_12,plain,
( r1(X1,X3)
| ~ r1(X1,X2)
| ~ r1(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]),
[final] ).
cnf(c_0_13,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_7,c_0_8]),c_0_9])]),c_0_10]),
[final] ).
cnf(c_0_14,negated_conjecture,
( p101(esk2_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_15,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_11,c_0_8]),c_0_9])]),c_0_10]),
[final] ).
cnf(c_0_16,negated_conjecture,
( p101(esk3_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_17,negated_conjecture,
( p2(esk3_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_18,negated_conjecture,
( p2(X1)
| ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2)
| ~ p101(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_19,negated_conjecture,
( r1(X1,esk2_1(esk1_0))
| ~ r1(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]),
[final] ).
cnf(c_0_20,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_14,c_0_8]),c_0_9])]),c_0_10]),
[final] ).
cnf(c_0_21,negated_conjecture,
( p2(X2)
| ~ r1(X1,X2)
| ~ p101(X2)
| ~ p2(X1)
| ~ p101(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_22,negated_conjecture,
( r1(X1,esk3_1(esk1_0))
| ~ r1(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_15]),
[final] ).
cnf(c_0_23,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_16,c_0_8]),c_0_9])]),c_0_10]),
[final] ).
cnf(c_0_24,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_17,c_0_8]),c_0_9])]),c_0_10]),
[final] ).
cnf(c_0_25,negated_conjecture,
( p1(X1)
| ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2)
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_26,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_8])]),
[final] ).
cnf(c_0_27,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]),c_0_8])]),
[final] ).
cnf(c_0_28,negated_conjecture,
( p1(esk2_1(esk1_0))
| ~ p1(X1)
| ~ p100(esk2_1(esk1_0))
| ~ p100(X1)
| ~ r1(esk2_1(esk1_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_19]),c_0_8])]) ).
cnf(c_0_29,negated_conjecture,
( p100(X1)
| ~ p101(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_30,negated_conjecture,
( p1(esk3_1(esk1_0))
| ~ p1(X1)
| ~ p100(esk3_1(esk1_0))
| ~ p100(X1)
| ~ r1(esk3_1(esk1_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_22]),c_0_8])]) ).
cnf(c_0_31,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_25,c_0_8]),c_0_9])]),
[final] ).
cnf(c_0_32,negated_conjecture,
( p1(X2)
| ~ r1(X1,X2)
| ~ p100(X2)
| ~ p1(X1)
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_33,negated_conjecture,
( p101(X1)
| ~ p2(esk2_1(X1))
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_34,negated_conjecture,
( p2(esk2_1(esk1_0))
| ~ r1(esk2_1(esk1_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_22]),c_0_23]),c_0_24])]),
[final] ).
cnf(c_0_35,negated_conjecture,
( p2(esk2_1(esk1_0))
| ~ r1(esk3_1(esk1_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_19]),c_0_20])]),
[final] ).
cnf(c_0_36,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_28,c_0_29]),c_0_20]),c_0_13])]),
[final] ).
cnf(c_0_37,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_30,c_0_29]),c_0_23]),c_0_15])]),
[final] ).
cnf(c_0_38,negated_conjecture,
( p1(esk1_0)
| ~ p1(esk2_1(esk1_0))
| ~ p100(esk2_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_19]),c_0_8])]),
[final] ).
cnf(c_0_39,negated_conjecture,
( p1(esk1_0)
| ~ p1(esk3_1(esk1_0))
| ~ p100(esk3_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_22]),c_0_8])]),
[final] ).
cnf(c_0_40,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_32,c_0_8]),c_0_9])]),
[final] ).
cnf(c_0_41,negated_conjecture,
( r1(X1,esk3_1(esk1_0))
| ~ r1(X2,esk1_0)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_22]),
[final] ).
cnf(c_0_42,negated_conjecture,
( p1(X1)
| ~ p1(esk2_1(esk1_0))
| ~ p100(esk2_1(esk1_0))
| ~ p100(X1)
| ~ r1(esk2_1(esk1_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_19]),c_0_8])]),
[final] ).
cnf(c_0_43,negated_conjecture,
( p1(X1)
| ~ p1(esk3_1(esk1_0))
| ~ p100(esk3_1(esk1_0))
| ~ p100(X1)
| ~ r1(esk3_1(esk1_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_22]),c_0_8])]),
[final] ).
cnf(c_0_44,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_19]),c_0_20]),c_0_8])]),
[final] ).
cnf(c_0_45,negated_conjecture,
( r1(X1,esk2_1(esk1_0))
| ~ r1(X2,esk1_0)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_19]),
[final] ).
cnf(c_0_46,negated_conjecture,
( p101(X1)
| ~ p102(esk3_1(X1))
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_47,negated_conjecture,
( p101(X1)
| ~ p102(esk2_1(X1))
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_48,negated_conjecture,
( p101(X1)
| ~ p102(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_49,negated_conjecture,
~ r1(esk2_1(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_9]),c_0_8])]),c_0_10]),
[final] ).
cnf(c_0_50,negated_conjecture,
~ r1(esk3_1(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_35]),c_0_9]),c_0_8])]),c_0_10]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL675+1.001 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.11/0.31 % Computer : n028.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon May 4 22:58:31 EDT 2026
% 0.11/0.31 % CPUTime :
% 0.11/0.32 % start to proof: theBenchmark
% 1.27/1.70 % Version : CSE_E---1.7
% 1.27/1.70 % Problem : theBenchmark.p
% 1.27/1.70 % SZS status CounterSatisfiable for theBenchmark.p
% 1.27/1.70 % SZS output start Saturation
% See solution above
% 1.27/1.70 % Total time : 1.369s
%------------------------------------------------------------------------------