%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT381+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n011.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 01:57:04 PM UTC 2026
% Result : Theorem 4.98s 1.19s
% Output : Proof 4.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 18 unt; 0 def)
% Number of atoms : 131 ( 13 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 143 ( 47 ~; 41 |; 45 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 33 ( 0 sgn 23 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [W0,W1] :
( ( aElement0(W1)
& aElement0(W0) )
=> ( ( sdtlseqdt0(W1,W0)
& sdtlseqdt0(W0,W1) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mASymm) ).
fof(f7_nnf,plain,
! [W0,W1] :
( W0 = W1
| ~ sdtlseqdt0(W1,W0)
| ~ sdtlseqdt0(W0,W1)
| ~ aElement0(W1)
| ~ aElement0(W0) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [W0,W1] :
( W0 = W1
| ~ sdtlseqdt0(W1,W0)
| ~ sdtlseqdt0(W0,W1)
| ~ aElement0(W1)
| ~ aElement0(W0) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c11,plain,
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
fof(f2,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f2_nnf,plain,
! [W0] :
( ! [W1] :
( aElement0(W1)
| ~ aElementOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [W0,W1] :
( aElement0(W1)
| ~ aElementOf0(W1,W0)
| ~ aSet0(W0) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f13,hypothesis,
aSet0(xT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__725) ).
fof(f13_nnf,plain,
aSet0(xT),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c31,plain,
aSet0(xT),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(p57,plain,
( aElement0(X0)
| ~ aElementOf0(X0,xT) ),
inference(resolution,[status(thm)],[c2,c31]) ).
fof(f15,hypothesis,
( aSupremumOfIn0(xv,xS,xT)
& ! [W0] :
( ( aUpperBoundOfIn0(W0,xS,xT)
| ( ! [W1] :
( aElementOf0(W1,xS)
=> sdtlseqdt0(W1,W0) )
& aElementOf0(W0,xT) ) )
=> sdtlseqdt0(xv,W0) )
& aUpperBoundOfIn0(xv,xS,xT)
& ! [W0] :
( aElementOf0(W0,xS)
=> sdtlseqdt0(W0,xv) )
& aElementOf0(xv,xT)
& aElementOf0(xv,xT)
& aSupremumOfIn0(xu,xS,xT)
& ! [W0] :
( ( aUpperBoundOfIn0(W0,xS,xT)
| ( ! [W1] :
( aElementOf0(W1,xS)
=> sdtlseqdt0(W1,W0) )
& aElementOf0(W0,xT) ) )
=> sdtlseqdt0(xu,W0) )
& aUpperBoundOfIn0(xu,xS,xT)
& ! [W0] :
( aElementOf0(W0,xS)
=> sdtlseqdt0(W0,xu) )
& aElementOf0(xu,xT)
& aElementOf0(xu,xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__744) ).
fof(f15_nnf,plain,
( aSupremumOfIn0(xv,xS,xT)
& ! [W0] :
( sdtlseqdt0(xv,W0)
| ( ~ aUpperBoundOfIn0(W0,xS,xT)
& ( ? [W1] :
( ~ sdtlseqdt0(W1,W0)
& aElementOf0(W1,xS) )
| ~ aElementOf0(W0,xT) ) ) )
& aUpperBoundOfIn0(xv,xS,xT)
& ! [W0] :
( sdtlseqdt0(W0,xv)
| ~ aElementOf0(W0,xS) )
& aElementOf0(xv,xT)
& aElementOf0(xv,xT)
& aSupremumOfIn0(xu,xS,xT)
& ! [W0] :
( sdtlseqdt0(xu,W0)
| ( ~ aUpperBoundOfIn0(W0,xS,xT)
& ( ? [W1] :
( ~ sdtlseqdt0(W1,W0)
& aElementOf0(W1,xS) )
| ~ aElementOf0(W0,xT) ) ) )
& aUpperBoundOfIn0(xu,xS,xT)
& ! [W0] :
( sdtlseqdt0(W0,xu)
| ~ aElementOf0(W0,xS) )
& aElementOf0(xu,xT)
& aElementOf0(xu,xT) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [W0] :
( aSupremumOfIn0(xv,xS,xT)
& ( sdtlseqdt0(xv,W0)
| ( ~ aUpperBoundOfIn0(W0,xS,xT)
& ( ( ~ sdtlseqdt0(sk7(W0),W0)
& aElementOf0(sk7(W0),xS) )
| ~ aElementOf0(W0,xT) ) ) )
& aUpperBoundOfIn0(xv,xS,xT)
& ( sdtlseqdt0(W0,xv)
| ~ aElementOf0(W0,xS) )
& aElementOf0(xv,xT)
& aElementOf0(xv,xT)
& aSupremumOfIn0(xu,xS,xT)
& ( sdtlseqdt0(xu,W0)
| ( ~ aUpperBoundOfIn0(W0,xS,xT)
& ( ( ~ sdtlseqdt0(sk6(W0),W0)
& aElementOf0(sk6(W0),xS) )
| ~ aElementOf0(W0,xT) ) ) )
& aUpperBoundOfIn0(xu,xS,xT)
& ( sdtlseqdt0(W0,xu)
| ~ aElementOf0(W0,xS) )
& aElementOf0(xu,xT)
& aElementOf0(xu,xT) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk6,sk7])],[f15_nnf]) ).
cnf(c35,plain,
aElementOf0(xu,xT),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p59,plain,
aElement0(xu),
inference(resolution,[status(thm)],[p57,c35]) ).
cnf(p199,plain,
( xu = X0
| ~ sdtlseqdt0(X0,xu)
| ~ sdtlseqdt0(xu,X0)
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[c11,p59]) ).
cnf(c43,plain,
aElementOf0(xv,xT),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p60,plain,
aElement0(xv),
inference(resolution,[status(thm)],[p57,c43]) ).
cnf(p204,plain,
( xu = xv
| ~ sdtlseqdt0(xv,xu)
| ~ sdtlseqdt0(xu,xv) ),
inference(resolution,[status(thm)],[p199,p60]) ).
cnf(c41,plain,
( sdtlseqdt0(xu,X0)
| ~ aUpperBoundOfIn0(X0,xS,xT) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(c46,plain,
aUpperBoundOfIn0(xv,xS,xT),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p54,plain,
sdtlseqdt0(xu,xv),
inference(resolution,[status(thm)],[c41,c46]) ).
cnf(p208,plain,
( xu = xv
| ~ sdtlseqdt0(xv,xu) ),
inference(resolution,[status(thm)],[p204,p54]) ).
cnf(c49,plain,
( sdtlseqdt0(xv,X0)
| ~ aUpperBoundOfIn0(X0,xS,xT) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(c38,plain,
aUpperBoundOfIn0(xu,xS,xT),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p55,plain,
sdtlseqdt0(xv,xu),
inference(resolution,[status(thm)],[c49,c38]) ).
cnf(p209,plain,
xu = xv,
inference(resolution,[status(thm)],[p208,p55]) ).
fof(f16,conjecture,
xu = xv,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f16_neg,negated_conjecture,
xu != xv,
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f16_nnf,plain,
xu != xv,
inference(nnf_transformation,[status(thm)],[f16_neg]) ).
fof(f16_sk,plain,
xu != xv,
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c51,plain,
xu != xv,
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p210,plain,
$false,
inference(resolution,[status(thm)],[p209,c51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT381+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 21:30:13 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.98/1.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.98/1.19 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------