%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN366+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 : n006.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 05:36:56 PM UTC 2026
% Result : Theorem 0.25s 1.63s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 39 ( 14 ~; 10 |; 7 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 30 ( 8 sgn 14 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2117,conjecture,
( ( ! [X1,X2] :
( big_r(X1,X1)
<=> big_r(X1,X2) )
& ! [X3,X4] :
( big_r(X3,X3)
<=> big_r(X4,X3) ) )
=> ( ? [X5] : big_r(X5,X5)
=> ! [X6] : big_r(X6,X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2117) ).
fof(i_0_1,negated_conjecture,
~ ( ( ! [X1,X2] :
( big_r(X1,X1)
<=> big_r(X1,X2) )
& ! [X3,X4] :
( big_r(X3,X3)
<=> big_r(X4,X3) ) )
=> ( ? [X5] : big_r(X5,X5)
=> ! [X6] : big_r(X6,X6) ) ),
inference(assume_negation,[status(cth)],[x2117]) ).
fof(i_0_2,negated_conjecture,
! [X13,X14,X15,X16] :
( ( ~ big_r(X13,X13)
| big_r(X13,X14) )
& ( ~ big_r(X13,X14)
| big_r(X13,X13) )
& ( ~ big_r(X15,X15)
| big_r(X16,X15) )
& ( ~ big_r(X16,X15)
| big_r(X15,X15) )
& big_r(esk1_0,esk1_0)
& ~ big_r(esk2_0,esk2_0) ),
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_r(X1,X1)
| ~ big_r(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_4,negated_conjecture,
( big_r(X1,X2)
| ~ big_r(X1,X1) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_5,negated_conjecture,
( big_r(X2,X1)
| ~ big_r(X1,X1) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_6,negated_conjecture,
( big_r(X2,X2)
| ~ big_r(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_7,negated_conjecture,
~ big_r(esk2_0,esk2_0),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_8,negated_conjecture,
big_r(esk1_0,esk1_0),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_9,plain,
~ big_r(esk2_0,X1),
inference(scs_inference,[],[i_0_7,i_0_3]) ).
cnf(i_0_10,plain,
( big_r(X1,X1)
| ~ big_r(X1,X2) ),
inference(rename_variables,[],[i_0_3]) ).
cnf(i_0_11,plain,
big_r(esk1_0,X1),
inference(scs_inference,[],[i_0_7,i_0_8,i_0_3,i_0_4]) ).
cnf(i_0_12,plain,
( ~ big_r(X1,X1)
| big_r(X1,X2) ),
inference(rename_variables,[],[i_0_4]) ).
cnf(i_0_13,plain,
$false,
inference(scs_inference,[],[i_0_7,i_0_8,i_0_3,i_0_4,i_0_5]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN366+1 : TPTP v9.2.1. Released v2.0.0.
% 0.11/0.13 % 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
% 0.15/0.34 % Computer : n006.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 08:30:16 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 0.25/1.63 % Version : CSE_E---1.7
% 0.25/1.63 % Problem : theBenchmark.p
% 0.25/1.63 % SZS status Theorem for theBenchmark.p
% 0.25/1.63 % SZS output start CNFRefutation
% See solution above
% 0.25/1.65 % Total time : 1.270s
%------------------------------------------------------------------------------