%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYO578+1 : TPTP v9.2.1. Released v5.5.0.
% 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 : 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 1.44s 1.80s
% Output : CNFRefutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 94 ( 31 ~; 25 |; 30 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 29 ( 0 sgn 14 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals_86,conjecture,
( ( ! [X143] :
( b48_buttercup10098(X143)
=> k04_buttercup10100(X143) )
& ? [X144] :
( k04_buttercup10100(X144)
& ~ b48_buttercup10098(X144) ) )
| ( ! [X145] :
( k04_buttercup10100(X145)
=> b48_buttercup10098(X145) )
& ? [X146] :
( b48_buttercup10098(X146)
& ~ k04_buttercup10100(X146) ) )
| ? [X147,X148,X149] :
( k04_buttercup10100(X147)
& b48_buttercup10098(X147)
& k04_buttercup10100(X148)
& ~ b48_buttercup10098(X148)
& ~ k04_buttercup10100(X149)
& b48_buttercup10098(X149) )
| ! [X150] :
( k04_buttercup10100(X150)
=> ~ b48_buttercup10098(X150) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_86) ).
fof(sos_21,axiom,
( ! [X62] :
( k04_buttercup10100(X62)
=> b48_buttercup10098(X62) )
& ? [X63] :
( b48_buttercup10098(X63)
& ~ k04_buttercup10100(X63) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
fof(c_0_2,negated_conjecture,
~ ( ( ! [X143] :
( b48_buttercup10098(X143)
=> k04_buttercup10100(X143) )
& ? [X144] :
( k04_buttercup10100(X144)
& ~ b48_buttercup10098(X144) ) )
| ( ! [X145] :
( k04_buttercup10100(X145)
=> b48_buttercup10098(X145) )
& ? [X146] :
( b48_buttercup10098(X146)
& ~ k04_buttercup10100(X146) ) )
| ? [X147,X148,X149] :
( k04_buttercup10100(X147)
& b48_buttercup10098(X147)
& k04_buttercup10100(X148)
& ~ b48_buttercup10098(X148)
& ~ k04_buttercup10100(X149)
& b48_buttercup10098(X149) )
| ! [X150] :
( k04_buttercup10100(X150)
=> ~ b48_buttercup10098(X150) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals_86])]) ).
fof(c_0_3,plain,
( ! [X62] :
( k04_buttercup10100(X62)
=> b48_buttercup10098(X62) )
& ? [X63] :
( b48_buttercup10098(X63)
& ~ k04_buttercup10100(X63) ) ),
inference(fof_simplification,[status(thm)],[sos_21]) ).
fof(c_0_4,negated_conjecture,
! [X395,X397,X398,X399,X400] :
( ( b48_buttercup10098(esk21_0)
| ~ k04_buttercup10100(X395)
| b48_buttercup10098(X395) )
& ( ~ k04_buttercup10100(esk21_0)
| ~ k04_buttercup10100(X395)
| b48_buttercup10098(X395) )
& ( k04_buttercup10100(esk22_0)
| ~ b48_buttercup10098(X397)
| k04_buttercup10100(X397) )
& ( ~ b48_buttercup10098(esk22_0)
| ~ b48_buttercup10098(X397)
| k04_buttercup10100(X397) )
& ( ~ k04_buttercup10100(X398)
| ~ b48_buttercup10098(X398)
| ~ k04_buttercup10100(X399)
| b48_buttercup10098(X399)
| k04_buttercup10100(X400)
| ~ b48_buttercup10098(X400) )
& k04_buttercup10100(esk23_0)
& b48_buttercup10098(esk23_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,
! [X327] :
( ( ~ k04_buttercup10100(X327)
| b48_buttercup10098(X327) )
& b48_buttercup10098(esk7_0)
& ~ k04_buttercup10100(esk7_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,
( k04_buttercup10100(esk22_0)
| k04_buttercup10100(X1)
| ~ b48_buttercup10098(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
b48_buttercup10098(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
~ k04_buttercup10100(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
( k04_buttercup10100(X1)
| ~ b48_buttercup10098(esk22_0)
| ~ b48_buttercup10098(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( b48_buttercup10098(X1)
| ~ k04_buttercup10100(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
k04_buttercup10100(esk22_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_12,negated_conjecture,
~ b48_buttercup10098(esk22_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 : SYO578+1 : TPTP v9.2.1. Released v5.5.0.
% 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
% 0.15/0.33 % 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
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.44/1.80 % Version : CSE_E---1.7
% 1.44/1.80 % Problem : theBenchmark.p
% 1.44/1.80 % SZS status Theorem for theBenchmark.p
% 1.44/1.80 % SZS output start CNFRefutation
% See solution above
% 1.44/1.80 % Total time : 1.420s
%------------------------------------------------------------------------------