%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN330+1 : TPTP v9.2.1. Released v2.0.0.
% 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 : n012.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 05:36:48 PM UTC 2026
% Result : CounterSatisfiable 1.12s 1.62s
% Output : Saturation 1.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_14_2,conjecture,
? [X1,X2] :
! [X3] :
( ( big_f(X1,X3)
<=> big_f(X3,X2) )
=> ( ( big_f(X3,X2)
<=> big_f(X3,X3) )
=> ( ( big_f(X1,X2)
<=> big_f(X2,X1) )
=> ( big_f(X1,X2)
<=> big_f(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_14_2) ).
fof(c_0_1,negated_conjecture,
~ ? [X1,X2] :
! [X3] :
( ( big_f(X1,X3)
<=> big_f(X3,X2) )
=> ( ( big_f(X3,X2)
<=> big_f(X3,X3) )
=> ( ( big_f(X1,X2)
<=> big_f(X2,X1) )
=> ( big_f(X1,X2)
<=> big_f(X1,X3) ) ) ) ),
inference(assume_negation,[status(cth)],[church_46_14_2]) ).
fof(c_0_2,negated_conjecture,
! [X7,X8] :
( ( ~ big_f(X7,esk1_2(X7,X8))
| big_f(esk1_2(X7,X8),X8) )
& ( ~ big_f(esk1_2(X7,X8),X8)
| big_f(X7,esk1_2(X7,X8)) )
& ( ~ big_f(esk1_2(X7,X8),X8)
| big_f(esk1_2(X7,X8),esk1_2(X7,X8)) )
& ( ~ big_f(esk1_2(X7,X8),esk1_2(X7,X8))
| big_f(esk1_2(X7,X8),X8) )
& ( ~ big_f(X7,X8)
| big_f(X8,X7) )
& ( ~ big_f(X8,X7)
| big_f(X7,X8) )
& ( ~ big_f(X7,X8)
| ~ big_f(X7,esk1_2(X7,X8)) )
& ( big_f(X7,X8)
| big_f(X7,esk1_2(X7,X8)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3,negated_conjecture,
( big_f(esk1_2(X1,X2),X2)
| ~ big_f(X1,esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_4,negated_conjecture,
( big_f(X1,X2)
| big_f(X1,esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_5,negated_conjecture,
( big_f(X2,X1)
| ~ big_f(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_6,negated_conjecture,
( big_f(esk1_2(X1,X2),X2)
| big_f(X1,X2) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]),
[final] ).
cnf(c_0_7,negated_conjecture,
( big_f(X1,esk1_2(X2,X1))
| big_f(X2,X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]),
[final] ).
cnf(c_0_8,negated_conjecture,
( big_f(esk1_2(X1,X2),esk1_2(X1,X2))
| ~ big_f(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_9,negated_conjecture,
( big_f(X1,esk1_2(X1,X2))
| ~ big_f(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_10,negated_conjecture,
( big_f(esk1_2(X1,X2),X1)
| big_f(X1,X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_4]),
[final] ).
cnf(c_0_11,negated_conjecture,
( big_f(esk1_2(X1,X2),X2)
| ~ big_f(esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_12,negated_conjecture,
( ~ big_f(X1,X2)
| ~ big_f(X1,esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SYN330+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.06 % 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
% 0.07/0.25 % Computer : n012.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 300
% 0.07/0.25 % DateTime : Tue May 5 08:28:16 EDT 2026
% 0.07/0.25 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 1.12/1.62 % Version : CSE_E---1.7
% 1.12/1.62 % Problem : theBenchmark.p
% 1.12/1.62 % SZS status CounterSatisfiable for theBenchmark.p
% 1.12/1.62 % SZS output start Saturation
% See solution above
% 1.12/1.62 % Total time : 1.361s
%------------------------------------------------------------------------------