%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV107+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 : n002.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 03:12:14 PM UTC 2026
% Result : Theorem 7.38s 1.45s
% Output : Proof 7.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 19 unt; 0 def)
% Number of atoms : 59 ( 10 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 50 ( 14 ~; 0 |; 22 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-4 aty)
% Number of variables : 4 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,conjecture,
( geq(minus(n3,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(minus(n999,n1),n0)
& geq(n2,n0) )
=> ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(minus(n999,n1),n0)
& geq(minus(n3,n1),n0) )
=> true ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0019) ).
fof(f52_neg,negated_conjecture,
~ ( geq(minus(n3,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(minus(n999,n1),n0)
& geq(n2,n0) )
=> ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(minus(n999,n1),n0)
& geq(minus(n3,n1),n0) )
=> true ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f52_nnf,plain,
( ~ true
& geq(minus(n999,n1),n0)
& geq(minus(n3,n1),n0)
& geq(minus(n6,n1),n0)
& geq(minus(n6,n1),n0)
& geq(minus(n6,n1),n0)
& geq(minus(n999,n1),n0)
& geq(n2,n0)
& geq(minus(n6,n1),n0)
& geq(minus(n3,n1),n0) ),
inference(nnf_transformation,[status(thm)],[f52_neg]) ).
fof(f52_sk,plain,
( ~ true
& geq(minus(n999,n1),n0)
& geq(minus(n3,n1),n0)
& geq(minus(n6,n1),n0)
& geq(minus(n6,n1),n0)
& geq(minus(n6,n1),n0)
& geq(minus(n999,n1),n0)
& geq(n2,n0)
& geq(minus(n6,n1),n0)
& geq(minus(n3,n1),n0) ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c264,plain,
~ true,
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(hi313,negated_conjecture,
ifeq(true,trueq,false,trueq) = trueq,
inference(equality_encoding,[status(esa)],[c264]) ).
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(hi252,axiom,
true = trueq,
inference(equality_encoding,[status(esa)],[c253]) ).
cnf(t1,plain,
trueq = false,
inference(hyper_resolution,[status(thm)],[hi313,hi252]) ).
cnf(t449,plain,
false = trueq,
inference(orient,[status(thm)],[t1]) ).
fof(f2,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox2/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/sandbox2/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(goal_0,negated_conjecture,
trueq != false,
inference(equality_encoding,[status(esa)],[c2,c254,c264]) ).
cnf(g0_0,plain,
trueq != trueq,
inference(rw,[status(thm)],[goal_0,t449]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV107+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 18:34:35 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.38/1.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.38/1.45 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------