%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM620+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 : Sun Sep 27 08:13:21 AM UTC 2026
% Result : Theorem 55.03s 19.20s
% Output : CNFRefutation 55.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 90 ( 7 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 100 ( 40 ~; 32 |; 15 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSuccNum,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( szszuzczcdt0(X0) != sz00
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ) ).
fof(mSuccLess,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ) ).
fof(mLessRefl,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,X0) ) ).
fof(m__3754,hypothesis,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> aElementOf0(X2,sdtlpdtrp0(xN,X1)) ) ) ) ) ).
fof(m__4660,hypothesis,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) )
& aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ) )
& szDzozmdt0(xe) = szNzAzT0
& aFunction0(xe) ) ).
fof(m__5309,hypothesis,
( sdtlpdtrp0(xe,xn) = xp
& aElementOf0(xn,szNzAzT0)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,szDzozmdt0(xd)) ) ).
fof(m__5389,hypothesis,
( xx = sdtlpdtrp0(xe,xm)
& aElementOf0(xm,szNzAzT0) ) ).
fof(m__,conjecture,
( ( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
=> aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ) )
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
=> aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ) )
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c48,plain,
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[mSuccNum]) ).
cnf(c56,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X0))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[mSuccLess]) ).
cnf(c59,plain,
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[mLessRefl]) ).
cnf(c232,plain,
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[m__3754]) ).
cnf(c356,plain,
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[m__4660]) ).
cnf(c431,plain,
aElementOf0(xn,szNzAzT0),
inference(clausification,[status(esa)],[m__5309]) ).
cnf(c441,plain,
aElementOf0(xm,szNzAzT0),
inference(clausification,[status(esa)],[m__5389]) ).
cnf(c442,plain,
sdtlpdtrp0(xe,xm) = xx,
inference(clausification,[status(esa)],[m__5389]) ).
cnf(c445,plain,
( aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xm)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c446,plain,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xm))
| ~ sdtlseqdt0(X0,szszuzczcdt0(xn))
| aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[status(thm)],[c232,c445]) ).
cnf(d1,plain,
( ~ sdtlseqdt0(X0,szszuzczcdt0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,xm),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c356,d0]) ).
cnf(d2,plain,
( ~ sdtlseqdt0(X0,szszuzczcdt0(xn))
| ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(xx,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(demodulation,[status(thm)],[d1,c442]) ).
cnf(d3,plain,
( ~ sdtlseqdt0(X0,szszuzczcdt0(xn))
| aElementOf0(xx,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[status(thm)],[c441,d2]) ).
cnf(d4,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xn),szszuzczcdt0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(resolution,[status(thm)],[d3,c446]) ).
cnf(d5,plain,
( ~ sdtlseqdt0(xn,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(resolution,[status(thm)],[d4,c56]) ).
cnf(d6,plain,
( ~ sdtlseqdt0(xn,xn)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(resolution,[status(thm)],[c431,d5]) ).
cnf(d7,plain,
sdtlseqdt0(xn,xn),
inference(resolution,[status(thm)],[c59,c431]) ).
cnf(d8,plain,
~ aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[d8,c48]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[c431,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM620+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.39 % Computer : n026.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Sat Sep 26 03:31:48 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 55.03/19.20 % SZS status Theorem for theBenchmark.p
% 55.03/19.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------