%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN371+1 : TPTP v9.2.1. Released v2.0.0.
% 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 : 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 05:36:57 PM UTC 2026
% Result : Theorem 0.12s 1.51s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 3 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 13 ( 4 ~; 1 |; 2 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 7 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2122,conjecture,
( ( ? [X1] : big_r(X1,X1)
=> ! [X2] : big_r(X2,X2) )
=> ? [X3] :
! [X4] :
( big_r(X3,X3)
=> big_r(X4,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2122) ).
fof(c_0_1,negated_conjecture,
~ ( ( ? [X1] : big_r(X1,X1)
=> ! [X2] : big_r(X2,X2) )
=> ? [X3] :
! [X4] :
( big_r(X3,X3)
=> big_r(X4,X4) ) ),
inference(assume_negation,[status(cth)],[x2122]) ).
fof(c_0_2,negated_conjecture,
! [X9,X10,X11] :
( ( ~ big_r(X9,X9)
| big_r(X10,X10) )
& big_r(X11,X11)
& ~ big_r(esk1_0,esk1_0) ),
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,
~ big_r(esk1_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
big_r(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SYN371+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.06 % 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
% 0.06/0.24 % Computer : n012.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Tue May 5 08:31:01 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 0.12/1.51 % Version : CSE_E---1.7
% 0.12/1.51 % Problem : theBenchmark.p
% 0.12/1.51 % SZS status Theorem for theBenchmark.p
% 0.12/1.51 % SZS output start CNFRefutation
% See solution above
% 0.12/1.51 % Total time : 1.261s
%------------------------------------------------------------------------------