%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV077+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n004.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 03:12:11 PM UTC 2026
% Result : Theorem 26.76s 3.86s
% Output : Proof 26.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 57 ( 8 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 72 ( 30 ~; 18 |; 18 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,conjecture,
( ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) )
=> ( ( n0 = pv40
=> true )
& ( n0 != pv40
=> ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) )
& leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0018) ).
fof(f52_neg,negated_conjecture,
~ ( ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) )
=> ( ( n0 = pv40
=> true )
& ( n0 != pv40
=> ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) )
& leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f52_nnf,plain,
( ( ( ~ true
& n0 = pv40 )
| ( ( ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31) )
& n0 != pv40 )
| ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31) )
& leq(pv31,minus(n5,n1))
& leq(n0,pv31) ),
inference(nnf_transformation,[status(thm)],[f52_neg]) ).
fof(f52_sk,plain,
( ( ( ~ true
& n0 = pv40 )
| ( ( ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31) )
& n0 != pv40 )
| ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31) )
& leq(pv31,minus(n5,n1))
& leq(n0,pv31) ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c260,plain,
( ~ true
| ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31)
| ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31) ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p296,plain,
( ~ true
| ~ leq(n0,pv31)
| ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31) ),
inference(factoring,[status(thm)],[c260]) ).
cnf(p297,plain,
( ~ true
| ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31) ),
inference(factoring,[status(thm)],[p296]) ).
cnf(c255,plain,
leq(n0,pv31),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p298,plain,
( ~ true
| ~ leq(pv31,minus(n5,n1)) ),
inference(resolution,[status(thm)],[p297,c255]) ).
cnf(c256,plain,
leq(pv31,minus(n5,n1)),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p299,plain,
~ true,
inference(resolution,[status(thm)],[p298,c256]) ).
fof(f50,axiom,
true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ttrue) ).
fof(f50_nnf,plain,
true,
inference(nnf_transformation,[status(thm)],[f50]) ).
cnf(c253,plain,
true,
inference(cnf_transformation,[status(esa)],[f50_nnf]) ).
cnf(p300,plain,
$false,
inference(resolution,[status(thm)],[p299,c253]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV077+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 18:27:06 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 26.76/3.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.76/3.86 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------