%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM620+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 : n001.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 02:20:33 PM UTC 2026
% Result : Theorem 39.16s 5.67s
% Output : Proof 39.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 54 ( 10 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 47 ( 12 ~; 8 |; 21 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f114,hypothesis,
( xx = sdtlpdtrp0(xe,xm)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5389) ).
fof(f114_nnf,plain,
( xx = sdtlpdtrp0(xe,xm)
& aElementOf0(xm,szNzAzT0) ),
inference(nnf_transformation,[status(thm)],[f114]) ).
fof(f114_sk,plain,
( xx = sdtlpdtrp0(xe,xm)
& aElementOf0(xm,szNzAzT0) ),
inference(skolemisation,[status(esa)],[f114_nnf]) ).
cnf(c1102,plain,
xx = sdtlpdtrp0(xe,xm),
inference(cnf_transformation,[status(esa)],[f114_sk]) ).
fof(f90,hypothesis,
( ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(sdtlpdtrp0(xe,W0),W1) )
& aElementOf0(sdtlpdtrp0(xe,W0),sdtlpdtrp0(xN,W0)) ) )
& szDzozmdt0(xe) = szNzAzT0
& aFunction0(xe) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).
fof(f90_nnf,plain,
( ! [W0] :
( ( sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0))
& ! [W1] :
( sdtlseqdt0(sdtlpdtrp0(xe,W0),W1)
| ~ aElementOf0(W1,sdtlpdtrp0(xN,W0)) )
& aElementOf0(sdtlpdtrp0(xe,W0),sdtlpdtrp0(xN,W0)) )
| ~ aElementOf0(W0,szNzAzT0) )
& szDzozmdt0(xe) = szNzAzT0
& aFunction0(xe) ),
inference(nnf_transformation,[status(thm)],[f90]) ).
fof(f90_sk,plain,
! [W0,W1] :
( ( ( sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0))
& ( sdtlseqdt0(sdtlpdtrp0(xe,W0),W1)
| ~ aElementOf0(W1,sdtlpdtrp0(xN,W0)) )
& aElementOf0(sdtlpdtrp0(xe,W0),sdtlpdtrp0(xN,W0)) )
| ~ aElementOf0(W0,szNzAzT0) )
& szDzozmdt0(xe) = szNzAzT0
& aFunction0(xe) ),
inference(skolemisation,[status(esa)],[f90_nnf]) ).
cnf(c1013,plain,
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(esa)],[f90_sk]) ).
cnf(c1101,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f114_sk]) ).
cnf(p6764,plain,
aElementOf0(sdtlpdtrp0(xe,xm),sdtlpdtrp0(xN,xm)),
inference(resolution,[status(thm)],[c1013,c1101]) ).
fof(f116,conjecture,
( ( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xm))
=> aElementOf0(W0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ) )
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f116_neg,negated_conjecture,
~ ( ( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xm))
=> aElementOf0(W0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ) )
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(negated_conjecture,[status(cth)],[f116]) ).
fof(f116_nnf,plain,
( ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(W0,sdtlpdtrp0(xN,xm)) ) ),
inference(nnf_transformation,[status(thm)],[f116_neg]) ).
fof(f116_sk,plain,
! [W0] :
( ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& ( aElementOf0(W0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(W0,sdtlpdtrp0(xN,xm)) ) ),
inference(skolemisation,[status(esa)],[f116_nnf]) ).
cnf(c1104,plain,
( aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xm)) ),
inference(cnf_transformation,[status(esa)],[f116_sk]) ).
cnf(p8829,plain,
aElementOf0(sdtlpdtrp0(xe,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(resolution,[status(thm)],[p6764,c1104]) ).
cnf(p8837,plain,
aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(superposition,[status(thm)],[c1102,p8829]) ).
cnf(c1106,plain,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnf_transformation,[status(esa)],[f116_sk]) ).
cnf(p8844,plain,
$false,
inference(resolution,[status(thm)],[p8837,c1106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM620+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.55 % Computer : n001.cluster.edu
% 0.11/0.55 % Model : x86_64 x86_64
% 0.11/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.55 % Memory : 8046.5625MB
% 0.11/0.55 % OS : Linux 6.8.0-71-generic
% 0.11/0.55 % CPULimit : 300
% 0.11/0.55 % WCLimit : 300
% 0.11/0.55 % DateTime : Thu Sep 24 05:03:07 UTC 2026
% 0.11/0.55 % CPUTime :
% 0.11/0.55 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 39.16/5.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.16/5.67 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------