%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV056+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 : n020.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 03:12:08 PM UTC 2026
% Result : Theorem 32.45s 4.96s
% Output : Proof 32.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 37 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 37 ( 16 ~; 9 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 4 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X] : minus(X,n1) = pred(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f38_nnf,plain,
! [X] : minus(X,n1) = pred(X),
inference(nnf_transformation,[status(thm)],[f38]) ).
fof(f38_sk,plain,
! [X] : minus(X,n1) = pred(X),
inference(skolemisation,[status(esa)],[f38_nnf]) ).
cnf(c234,plain,
minus(X0,n1) = pred(X0),
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
fof(f52,conjecture,
( ( leq(pv25,minus(n5,n1))
& leq(n0,pv25) )
=> ( leq(pv25,minus(n5,n1))
& leq(n0,pv25)
& n0 = sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0040) ).
fof(f52_neg,negated_conjecture,
~ ( ( leq(pv25,minus(n5,n1))
& leq(n0,pv25) )
=> ( leq(pv25,minus(n5,n1))
& leq(n0,pv25)
& n0 = sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) ) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f52_nnf,plain,
( ( ~ leq(pv25,minus(n5,n1))
| ~ leq(n0,pv25)
| n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) )
& leq(pv25,minus(n5,n1))
& leq(n0,pv25) ),
inference(nnf_transformation,[status(thm)],[f52_neg]) ).
fof(f52_sk,plain,
( ( ~ leq(pv25,minus(n5,n1))
| ~ leq(n0,pv25)
| n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) )
& leq(pv25,minus(n5,n1))
& leq(n0,pv25) ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c257,plain,
( ~ leq(pv25,minus(n5,n1))
| ~ leq(n0,pv25)
| n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p298,plain,
( ~ leq(pv25,pred(n5))
| ~ leq(n0,pv25)
| n0 != n0 ),
inference(superposition,[status(thm)],[c234,c257]) ).
cnf(p299,plain,
( ~ leq(pv25,pred(n5))
| ~ leq(n0,pv25) ),
inference(equality_resolution,[status(thm)],[p298]) ).
cnf(c255,plain,
leq(n0,pv25),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p300,plain,
~ leq(pv25,pred(n5)),
inference(resolution,[status(thm)],[p299,c255]) ).
cnf(c256,plain,
leq(pv25,minus(n5,n1)),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p297,plain,
leq(pv25,pred(n5)),
inference(superposition,[status(thm)],[c234,c256]) ).
cnf(p301,plain,
$false,
inference(resolution,[status(thm)],[p300,p297]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV056+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 18:26:03 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 32.45/4.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.45/4.96 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------