%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM594+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n005.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 02:20:28 PM UTC 2026
% Result : Theorem 22.05s 3.75s
% Output : Proof 22.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 54 ( 19 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 58 ( 20 ~; 13 |; 22 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 9 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f94,conjecture,
? [W0] :
( sdtlpdtrp0(xd,W0) = xx
& aElementOf0(W0,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f94_neg,negated_conjecture,
~ ? [W0] :
( sdtlpdtrp0(xd,W0) = xx
& aElementOf0(W0,szNzAzT0) ),
inference(negated_conjecture,[status(cth)],[f94]) ).
fof(f94_nnf,plain,
! [W0] :
( sdtlpdtrp0(xd,W0) != xx
| ~ aElementOf0(W0,szNzAzT0) ),
inference(nnf_transformation,[status(thm)],[f94_neg]) ).
fof(f94_sk,plain,
! [W0] :
( sdtlpdtrp0(xd,W0) != xx
| ~ aElementOf0(W0,szNzAzT0) ),
inference(skolemisation,[status(esa)],[f94_nnf]) ).
cnf(c1029,plain,
( sdtlpdtrp0(xd,X0) != xx
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
fof(f91,hypothesis,
( ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( ( ( aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk))
| ( sbrdtbr0(W1) = xk
& ( aSubsetOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))
| ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) )
& aSet0(W1) )
=> sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) )
& szDzozmdt0(xd) = szNzAzT0
& aFunction0(xd) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
fof(f91_nnf,plain,
( ! [W0] :
( ! [W1] :
( sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)
| ( ~ aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk))
& ( sbrdtbr0(W1) != xk
| ( ~ aSubsetOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& ? [W2] :
( ~ aElementOf0(W2,sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& aElementOf0(W2,W1) ) ) ) )
| ~ aSet0(W1) )
| ~ aElementOf0(W0,szNzAzT0) )
& szDzozmdt0(xd) = szNzAzT0
& aFunction0(xd) ),
inference(nnf_transformation,[status(thm)],[f91]) ).
fof(f91_sk,plain,
! [W0,W1] :
( ( sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)
| ( ~ aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk))
& ( sbrdtbr0(W1) != xk
| ( ~ aSubsetOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& ~ aElementOf0(sk42(W0,W1),sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& aElementOf0(sk42(W0,W1),W1) ) ) )
| ~ aSet0(W1)
| ~ aElementOf0(W0,szNzAzT0) )
& szDzozmdt0(xd) = szNzAzT0
& aFunction0(xd) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk42])],[f91_nnf]) ).
cnf(c1017,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(cnf_transformation,[status(esa)],[f91_sk]) ).
fof(f93,hypothesis,
( aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ? [W0] :
( sdtlpdtrp0(xd,W0) = xx
& aElementOf0(W0,szDzozmdt0(xd)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4781) ).
fof(f93_nnf,plain,
( aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ? [W0] :
( sdtlpdtrp0(xd,W0) = xx
& aElementOf0(W0,szDzozmdt0(xd)) ) ),
inference(nnf_transformation,[status(thm)],[f93]) ).
fof(f93_sk,plain,
( aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd)))
& sdtlpdtrp0(xd,sk44) = xx
& aElementOf0(sk44,szDzozmdt0(xd)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk44])],[f93_nnf]) ).
cnf(c1026,plain,
aElementOf0(sk44,szDzozmdt0(xd)),
inference(cnf_transformation,[status(esa)],[f93_sk]) ).
cnf(p918,plain,
aElementOf0(sk44,szNzAzT0),
inference(superposition,[status(thm)],[c1017,c1026]) ).
cnf(p5589,plain,
xx != xx,
inference(resolution,[status(thm)],[c1029,p918]) ).
cnf(p5612,plain,
$false,
inference(equality_resolution,[status(thm)],[p5589]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM594+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 04:48:47 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 22.05/3.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.05/3.75 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------