%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN413+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 05:37:03 PM UTC 2026
% Result : Theorem 1.25s 1.72s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 30 ( 13 ~; 8 |; 5 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 22 ( 3 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kalish256,conjecture,
( ! [X1] :
? [X2] :
! [X3] :
( f(X3,X2)
<=> ( f(X3,X1)
& ~ f(X3,X3) ) )
=> ~ ? [X4] :
! [X5] : f(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish256) ).
fof(c_0_1,negated_conjecture,
~ ( ! [X1] :
? [X2] :
! [X3] :
( f(X3,X2)
<=> ( f(X3,X1)
& ~ f(X3,X3) ) )
=> ~ ? [X4] :
! [X5] : f(X5,X4) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[kalish256])]) ).
fof(c_0_2,negated_conjecture,
! [X11,X13,X14,X16] :
( ( f(X13,X11)
| ~ f(X13,esk1_1(X11)) )
& ( ~ f(X13,X13)
| ~ f(X13,esk1_1(X11)) )
& ( ~ f(X14,X11)
| f(X14,X14)
| f(X14,esk1_1(X11)) )
& f(X16,esk2_0) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).
cnf(c_0_3,negated_conjecture,
( f(X1,X1)
| f(X1,esk1_1(X2))
| ~ f(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
f(X1,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( ~ f(X1,X1)
| ~ f(X1,esk1_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( f(X1,esk1_1(esk2_0))
| f(X1,X1) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
f(esk1_1(X1),esk1_1(esk2_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_6]) ).
cnf(c_0_8,negated_conjecture,
~ f(esk1_1(X1),esk1_1(X1)),
inference(spm,[status(thm)],[c_0_5,c_0_7]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_8,c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN413+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 08:32:33 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.25/1.72 % Version : CSE_E---1.7
% 1.25/1.72 % Problem : theBenchmark.p
% 1.25/1.72 % SZS status Theorem for theBenchmark.p
% 1.25/1.72 % SZS output start CNFRefutation
% See solution above
% 1.25/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------