%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV059+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 : n015.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 03:12:09 PM UTC 2026
% Result : Theorem 6.89s 1.41s
% Output : Proof 6.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 18 unt; 0 def)
% Number of atoms : 42 ( 10 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 41 ( 23 ~; 4 |; 8 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 4 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,conjecture,
( geq(pv72,tptp_float_0_001)
=> ( ( gt(plus(n1,loopcounter),n1)
=> true )
& ( ~ gt(plus(n1,loopcounter),n1)
=> true ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0049) ).
fof(f52_neg,negated_conjecture,
~ ( geq(pv72,tptp_float_0_001)
=> ( ( gt(plus(n1,loopcounter),n1)
=> true )
& ( ~ gt(plus(n1,loopcounter),n1)
=> true ) ) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f52_nnf,plain,
( ( ( ~ true
& gt(plus(n1,loopcounter),n1) )
| ( ~ true
& ~ gt(plus(n1,loopcounter),n1) ) )
& geq(pv72,tptp_float_0_001) ),
inference(nnf_transformation,[status(thm)],[f52_neg]) ).
fof(f52_sk,plain,
( ( ( ~ true
& gt(plus(n1,loopcounter),n1) )
| ( ~ true
& ~ gt(plus(n1,loopcounter),n1) ) )
& geq(pv72,tptp_float_0_001) ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c259,plain,
( ~ true
| ~ true ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(hi290,negated_conjecture,
ifeq(true,trueq,ifeq(true,trueq,false,trueq),trueq) = trueq,
inference(equality_encoding,[status(esa)],[c259]) ).
fof(f50,axiom,
true,
file('/export/starexec/sandbox/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(hi252,axiom,
true = trueq,
inference(equality_encoding,[status(esa)],[c253]) ).
cnf(t0,plain,
trueq = false,
inference(hyper_resolution,[status(thm)],[hi290,hi252,hi252]) ).
cnf(t305,plain,
false = trueq,
inference(orient,[status(thm)],[t0]) ).
fof(f2,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f2_nnf,plain,
! [X] : ~ gt(X,X),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] : ~ gt(X,X),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
~ gt(X0,X0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f51,axiom,
def != use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',defuse) ).
fof(f51_nnf,plain,
def != use,
inference(nnf_transformation,[status(thm)],[f51]) ).
fof(f51_sk,plain,
def != use,
inference(skolemisation,[status(esa)],[f51_nnf]) ).
cnf(c254,plain,
def != use,
inference(cnf_transformation,[status(esa)],[f51_sk]) ).
cnf(c257,plain,
( ~ true
| ~ gt(plus(n1,loopcounter),n1) ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(goal_0,negated_conjecture,
trueq != false,
inference(equality_encoding,[status(esa)],[c2,c254,c257,c259]) ).
cnf(g0_0,plain,
trueq != trueq,
inference(rw,[status(thm)],[goal_0,t305]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV059+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.38 % Computer : n015.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 18:28:27 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.89/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.89/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------