%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYO580+1 : TPTP v9.2.1. Released v5.5.0.
% 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 : n017.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 05:53:46 PM UTC 2026
% Result : Theorem 1.87s 1.95s
% Output : CNFRefutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 78 ( 25 ~; 22 |; 21 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 13 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals_886,conjecture,
( ! [X1056] :
( b48_buttercup10305(X1056)
<=> k04_buttercup10303(X1056) )
| ( ! [X1057] :
( k04_buttercup10303(X1057)
=> b48_buttercup10305(X1057) )
& ? [X1058] :
( b48_buttercup10305(X1058)
& ~ k04_buttercup10303(X1058) ) )
| ( ! [X1059] :
( b48_buttercup10305(X1059)
=> k04_buttercup10303(X1059) )
& ? [X1060] :
( k04_buttercup10303(X1060)
& ~ b48_buttercup10305(X1060) ) )
| ! [X1061] :
( b48_buttercup10305(X1061)
=> ~ k04_buttercup10303(X1061) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_886) ).
fof(sos_320,axiom,
( ! [X320] :
( b48_buttercup10305(X320)
=> k04_buttercup10303(X320) )
& ? [X321] :
( k04_buttercup10303(X321)
& ~ b48_buttercup10305(X321) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_320) ).
fof(c_0_2,negated_conjecture,
~ ( ! [X1056] :
( b48_buttercup10305(X1056)
<=> k04_buttercup10303(X1056) )
| ( ! [X1057] :
( k04_buttercup10303(X1057)
=> b48_buttercup10305(X1057) )
& ? [X1058] :
( b48_buttercup10305(X1058)
& ~ k04_buttercup10303(X1058) ) )
| ( ! [X1059] :
( b48_buttercup10305(X1059)
=> k04_buttercup10303(X1059) )
& ? [X1060] :
( k04_buttercup10303(X1060)
& ~ b48_buttercup10305(X1060) ) )
| ! [X1061] :
( b48_buttercup10305(X1061)
=> ~ k04_buttercup10303(X1061) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals_886])]) ).
fof(c_0_3,plain,
( ! [X320] :
( b48_buttercup10305(X320)
=> k04_buttercup10303(X320) )
& ? [X321] :
( k04_buttercup10303(X321)
& ~ b48_buttercup10305(X321) ) ),
inference(fof_simplification,[status(thm)],[sos_320]) ).
fof(c_0_4,negated_conjecture,
! [X3096,X3098] :
( ( ~ b48_buttercup10305(esk451_0)
| ~ k04_buttercup10303(esk451_0) )
& ( b48_buttercup10305(esk451_0)
| k04_buttercup10303(esk451_0) )
& ( k04_buttercup10303(esk452_0)
| ~ b48_buttercup10305(X3096)
| k04_buttercup10303(X3096) )
& ( ~ b48_buttercup10305(esk452_0)
| ~ b48_buttercup10305(X3096)
| k04_buttercup10303(X3096) )
& ( b48_buttercup10305(esk453_0)
| ~ k04_buttercup10303(X3098)
| b48_buttercup10305(X3098) )
& ( ~ k04_buttercup10303(esk453_0)
| ~ k04_buttercup10303(X3098)
| b48_buttercup10305(X3098) )
& b48_buttercup10305(esk454_0)
& k04_buttercup10303(esk454_0) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
fof(c_0_5,plain,
! [X2442] :
( ( ~ b48_buttercup10305(X2442)
| k04_buttercup10303(X2442) )
& k04_buttercup10303(esk1_0)
& ~ b48_buttercup10305(esk1_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
cnf(c_0_6,negated_conjecture,
( b48_buttercup10305(esk453_0)
| b48_buttercup10305(X1)
| ~ k04_buttercup10303(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
k04_buttercup10303(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
~ b48_buttercup10305(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
( b48_buttercup10305(X1)
| ~ k04_buttercup10303(esk453_0)
| ~ k04_buttercup10303(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( k04_buttercup10303(X1)
| ~ b48_buttercup10305(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
b48_buttercup10305(esk453_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_12,negated_conjecture,
~ k04_buttercup10303(esk453_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_7])]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO580+1 : TPTP v9.2.1. Released v5.5.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n017.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 09:12:43 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.87/1.95 % Version : CSE_E---1.7
% 1.87/1.95 % Problem : theBenchmark.p
% 1.87/1.95 % SZS status Theorem for theBenchmark.p
% 1.87/1.95 % SZS output start CNFRefutation
% See solution above
% 1.87/1.95 % Total time : 1.485s
%------------------------------------------------------------------------------