%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN082+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 : n001.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 05:36:05 PM UTC 2026
% Result : Theorem 0.26s 1.61s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 45 ( 19 ~; 17 |; 5 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 14 ( 0 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel60,conjecture,
! [X1] :
( big_f(X1,f(X1))
<=> ? [X2] :
( ! [X3] :
( big_f(X3,X2)
=> big_f(X3,f(X1)) )
& big_f(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel60) ).
fof(i_0_1,negated_conjecture,
~ ! [X1] :
( big_f(X1,f(X1))
<=> ? [X2] :
( ! [X3] :
( big_f(X3,X2)
=> big_f(X3,f(X1)) )
& big_f(X1,X2) ) ),
inference(assume_negation,[status(cth)],[pel60]) ).
fof(i_0_2,negated_conjecture,
! [X8,X11] :
( ( big_f(esk2_1(X8),X8)
| ~ big_f(esk1_0,X8)
| ~ big_f(esk1_0,f(esk1_0)) )
& ( ~ big_f(esk2_1(X8),f(esk1_0))
| ~ big_f(esk1_0,X8)
| ~ big_f(esk1_0,f(esk1_0)) )
& ( ~ big_f(X11,esk3_0)
| big_f(X11,f(esk1_0))
| big_f(esk1_0,f(esk1_0)) )
& ( big_f(esk1_0,esk3_0)
| big_f(esk1_0,f(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)],[i_0_1])])])])]) ).
cnf(i_0_3,negated_conjecture,
( ~ big_f(esk2_1(X1),f(esk1_0))
| ~ big_f(esk1_0,X1)
| ~ big_f(esk1_0,f(esk1_0)) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_4,negated_conjecture,
( big_f(esk2_1(X1),X1)
| ~ big_f(esk1_0,X1)
| ~ big_f(esk1_0,f(esk1_0)) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_5,negated_conjecture,
( big_f(X1,f(esk1_0))
| big_f(esk1_0,f(esk1_0))
| ~ big_f(X1,esk3_0) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_6,negated_conjecture,
( big_f(esk1_0,esk3_0)
| big_f(esk1_0,f(esk1_0)) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_7,plain,
big_f(esk1_0,f(esk1_0)),
inference(scs_inference,[],[i_0_6,i_0_5]) ).
cnf(i_0_8,plain,
( ~ big_f(esk1_0,X1)
| ~ big_f(esk2_1(X1),f(esk1_0)) ),
inference(scs_inference,[],[i_0_7,i_0_3]) ).
cnf(i_0_9,plain,
( ~ big_f(esk1_0,X1)
| big_f(esk2_1(X1),X1) ),
inference(scs_inference,[],[i_0_7,i_0_4]) ).
cnf(i_0_10,plain,
~ big_f(esk2_1(f(esk1_0)),f(esk1_0)),
inference(scs_inference,[],[i_0_7,i_0_8]) ).
cnf(i_0_11,plain,
( ~ big_f(esk1_0,X1)
| ~ big_f(esk2_1(X1),f(esk1_0)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_12,plain,
$false,
inference(scs_inference,[],[i_0_7,i_0_8,i_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN082+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n001.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 08:13:33 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 0.26/1.61 % Version : CSE_E---1.7
% 0.26/1.61 % Problem : theBenchmark.p
% 0.26/1.61 % SZS status Theorem for theBenchmark.p
% 0.26/1.61 % SZS output start CNFRefutation
% See solution above
% 0.26/1.63 % Total time : 1.270s
%------------------------------------------------------------------------------