%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYO578+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:48:28 PM UTC 2026
% Result : Theorem 3.00s 0.94s
% Output : Proof 3.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 115 ( 38 ~; 34 |; 36 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 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 : 38 ( 0 sgn 19 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
( ? [X62] :
( ~ k04_buttercup10100(X62)
& b48_buttercup10098(X62) )
& ! [X61] :
( k04_buttercup10100(X61)
=> b48_buttercup10098(X61) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
fof(f20_nnf,plain,
( ? [X62] :
( ~ k04_buttercup10100(X62)
& b48_buttercup10098(X62) )
& ! [X61] :
( b48_buttercup10098(X61)
| ~ k04_buttercup10100(X61) ) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X61] :
( ~ k04_buttercup10100(sk31)
& b48_buttercup10098(sk31)
& ( b48_buttercup10098(X61)
| ~ k04_buttercup10100(X61) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk31])],[f20_nnf]) ).
cnf(c297,plain,
( b48_buttercup10098(X0)
| ~ k04_buttercup10100(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(c298,plain,
b48_buttercup10098(sk31),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
fof(f85,conjecture,
( ! [X149] :
( k04_buttercup10100(X149)
=> ~ b48_buttercup10098(X149) )
| ? [X146,X147,X148] :
( b48_buttercup10098(X148)
& ~ k04_buttercup10100(X148)
& ~ b48_buttercup10098(X147)
& k04_buttercup10100(X147)
& b48_buttercup10098(X146)
& k04_buttercup10100(X146) )
| ( ? [X145] :
( ~ k04_buttercup10100(X145)
& b48_buttercup10098(X145) )
& ! [X144] :
( k04_buttercup10100(X144)
=> b48_buttercup10098(X144) ) )
| ( ? [X143] :
( ~ b48_buttercup10098(X143)
& k04_buttercup10100(X143) )
& ! [X142] :
( b48_buttercup10098(X142)
=> k04_buttercup10100(X142) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_86) ).
fof(f85_neg,negated_conjecture,
~ ( ! [X149] :
( k04_buttercup10100(X149)
=> ~ b48_buttercup10098(X149) )
| ? [X146,X147,X148] :
( b48_buttercup10098(X148)
& ~ k04_buttercup10100(X148)
& ~ b48_buttercup10098(X147)
& k04_buttercup10100(X147)
& b48_buttercup10098(X146)
& k04_buttercup10100(X146) )
| ( ? [X145] :
( ~ k04_buttercup10100(X145)
& b48_buttercup10098(X145) )
& ! [X144] :
( k04_buttercup10100(X144)
=> b48_buttercup10098(X144) ) )
| ( ? [X143] :
( ~ b48_buttercup10098(X143)
& k04_buttercup10100(X143) )
& ! [X142] :
( b48_buttercup10098(X142)
=> k04_buttercup10100(X142) ) ) ),
inference(negated_conjecture,[status(cth)],[f85]) ).
fof(f85_nnf,plain,
( ? [X149] :
( b48_buttercup10098(X149)
& k04_buttercup10100(X149) )
& ! [X146,X147,X148] :
( ~ b48_buttercup10098(X148)
| k04_buttercup10100(X148)
| b48_buttercup10098(X147)
| ~ k04_buttercup10100(X147)
| ~ b48_buttercup10098(X146)
| ~ k04_buttercup10100(X146) )
& ( ! [X145] :
( k04_buttercup10100(X145)
| ~ b48_buttercup10098(X145) )
| ? [X144] :
( ~ b48_buttercup10098(X144)
& k04_buttercup10100(X144) ) )
& ( ! [X143] :
( b48_buttercup10098(X143)
| ~ k04_buttercup10100(X143) )
| ? [X142] :
( ~ k04_buttercup10100(X142)
& b48_buttercup10098(X142) ) ) ),
inference(nnf_transformation,[status(thm)],[f85_neg]) ).
fof(f85_sk,plain,
! [X143,X145,X146,X147,X148] :
( b48_buttercup10098(sk57)
& k04_buttercup10100(sk57)
& ( ~ b48_buttercup10098(X148)
| k04_buttercup10100(X148)
| b48_buttercup10098(X147)
| ~ k04_buttercup10100(X147)
| ~ b48_buttercup10098(X146)
| ~ k04_buttercup10100(X146) )
& ( k04_buttercup10100(X145)
| ~ b48_buttercup10098(X145)
| ( ~ b48_buttercup10098(sk56)
& k04_buttercup10100(sk56) ) )
& ( b48_buttercup10098(X143)
| ~ k04_buttercup10100(X143)
| ( ~ k04_buttercup10100(sk55)
& b48_buttercup10098(sk55) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk55,sk56,sk57])],[f85_nnf]) ).
cnf(c475,plain,
( k04_buttercup10100(X3)
| ~ b48_buttercup10098(X3)
| k04_buttercup10100(sk56) ),
inference(cnf_transformation,[status(esa)],[f85_sk]) ).
cnf(p482,plain,
( k04_buttercup10100(sk31)
| k04_buttercup10100(sk56) ),
inference(resolution,[status(thm)],[c298,c475]) ).
cnf(p548,plain,
( k04_buttercup10100(sk31)
| b48_buttercup10098(sk56) ),
inference(resolution,[status(thm)],[c297,p482]) ).
cnf(c299,plain,
~ k04_buttercup10100(sk31),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p564,plain,
b48_buttercup10098(sk56),
inference(resolution,[status(thm)],[p548,c299]) ).
cnf(c476,plain,
( k04_buttercup10100(X3)
| ~ b48_buttercup10098(X3)
| ~ b48_buttercup10098(sk56) ),
inference(cnf_transformation,[status(esa)],[f85_sk]) ).
cnf(p567,plain,
( k04_buttercup10100(X0)
| ~ b48_buttercup10098(X0) ),
inference(resolution,[status(thm)],[p564,c476]) ).
cnf(p569,plain,
k04_buttercup10100(sk31),
inference(resolution,[status(thm)],[p567,c298]) ).
cnf(p584,plain,
$false,
inference(resolution,[status(thm)],[p569,c299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYO578+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.04/0.50 % Computer : n012.cluster.edu
% 0.04/0.50 % Model : x86_64 x86_64
% 0.04/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.50 % Memory : 8046.5625MB
% 0.04/0.50 % OS : Linux 6.8.0-71-generic
% 0.04/0.50 % CPULimit : 300
% 0.04/0.50 % WCLimit : 300
% 0.04/0.50 % DateTime : Fri Sep 25 03:06:51 UTC 2026
% 0.04/0.50 % CPUTime :
% 0.04/0.50 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.00/0.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.00/0.94 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------