%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV069+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n017.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 03:12:10 PM UTC 2026
% Result : Theorem 27.87s 9.41s
% Output : Proof 27.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 17 unt; 0 def)
% Number of atoms : 64 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 61 ( 26 ~; 18 |; 14 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X,Y] :
( leq(X,pred(Y))
<=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f9_nnf,plain,
! [X,Y] :
( ( ~ gt(Y,X)
| leq(X,pred(Y)) )
& ( gt(Y,X)
| ~ leq(X,pred(Y)) ) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X,Y] :
( ( ~ gt(Y,X)
| leq(X,pred(Y)) )
& ( gt(Y,X)
| ~ leq(X,pred(Y)) ) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c12,plain,
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
fof(f64,axiom,
gt(n5,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_0) ).
fof(f64_nnf,plain,
gt(n5,n0),
inference(nnf_transformation,[status(thm)],[f64]) ).
cnf(c269,plain,
gt(n5,n0),
inference(cnf_transformation,[status(esa)],[f64_nnf]) ).
cnf(p573,plain,
leq(n0,pred(n5)),
inference(resolution,[status(thm)],[c12,c269]) ).
fof(f38,axiom,
! [X] : minus(X,n1) = pred(X),
file('/export/starexec/sandbox/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(pv10,minus(n135300,n1))
& leq(n0,pv10) )
=> ( leq(pv10,minus(n135300,n1))
& leq(n0,minus(n5,n1))
& leq(n0,pv10)
& leq(n0,n0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0010) ).
fof(f52_neg,negated_conjecture,
~ ( ( leq(pv10,minus(n135300,n1))
& leq(n0,pv10) )
=> ( leq(pv10,minus(n135300,n1))
& leq(n0,minus(n5,n1))
& leq(n0,pv10)
& leq(n0,n0) ) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f52_nnf,plain,
( ( ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,minus(n5,n1))
| ~ leq(n0,pv10)
| ~ leq(n0,n0) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ),
inference(nnf_transformation,[status(thm)],[f52_neg]) ).
fof(f52_sk,plain,
( ( ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,minus(n5,n1))
| ~ leq(n0,pv10)
| ~ leq(n0,n0) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c257,plain,
( ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,minus(n5,n1))
| ~ leq(n0,pv10)
| ~ leq(n0,n0) ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
fof(f3,axiom,
! [X] : leq(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_leq) ).
fof(f3_nnf,plain,
! [X] : leq(X,X),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] : leq(X,X),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
leq(X0,X0),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p297,plain,
( ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,minus(n5,n1))
| ~ leq(n0,pv10) ),
inference(resolution,[status(thm)],[c257,c3]) ).
cnf(c255,plain,
leq(n0,pv10),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p298,plain,
( ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,minus(n5,n1)) ),
inference(resolution,[status(thm)],[p297,c255]) ).
cnf(p307,plain,
( ~ leq(pv10,pred(n135300))
| ~ leq(n0,pred(n5)) ),
inference(superposition,[status(thm)],[c234,p298]) ).
cnf(p586,plain,
~ leq(pv10,pred(n135300)),
inference(resolution,[status(thm)],[p573,p307]) ).
cnf(c256,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p306,plain,
leq(pv10,pred(n135300)),
inference(superposition,[status(thm)],[c234,c256]) ).
cnf(p588,plain,
$false,
inference(resolution,[status(thm)],[p586,p306]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV069+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/5.36 % Computer : n017.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Thu Sep 24 18:21:37 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 27.87/9.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.87/9.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------