%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM605+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 12:28:38 PM UTC 2025
% Result : Theorem 82.39s 10.71s
% Output : CNFRefutation 82.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 16 unt; 0 def)
% Number of atoms : 56 ( 23 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 49 ( 21 ~; 12 |; 9 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 14 ( 1 sgn 6 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
~ ( ~ ? [W0] : aElementOf0(W0,xQ)
& xQ = slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ~ ( ~ ? [W0] : aElementOf0(W0,xQ)
& xQ = slcrc0 ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(387,plain,
~ aElementOf0(X0,xQ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aElementOf0(sK1(xQ),xQ),
inference(instantiation,[status(thm)],[387]) ).
fof(mDefEmp,plain,
! [W0] :
( W0 = slcrc0
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
cnf(3,plain,
( ~ aSet0(X0)
| X0 = slcrc0
| aElementOf0(sK1(X0),X0) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
cnf(l1,plain,
( ~ aSet0(xQ)
| xQ = slcrc0
| aElementOf0(sK1(xQ),xQ) ),
inference(instantiation,[status(thm)],[3]) ).
fof(m__5078,plain,
( aSet0(xQ)
& ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5078) ).
cnf(382,plain,
aSet0(xQ),
inference(cnf,[status(esa)],[m__5078]) ).
cnf(l2,plain,
aSet0(xQ),
inference(instantiation,[status(thm)],[382]) ).
fof(mCardEmpty,plain,
! [W0] :
( aSet0(W0)
=> ( sbrdtbr0(W0) = sz00
<=> W0 = slcrc0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
cnf(66,plain,
( ~ aSet0(X0)
| X0 != slcrc0
| sbrdtbr0(X0) = sz00 ),
inference(cnf,[status(esa)],[mCardEmpty]) ).
cnf(l14,plain,
( ~ aSet0(xQ)
| xQ != slcrc0
| sbrdtbr0(xQ) = sz00 ),
inference(instantiation,[status(thm)],[66]) ).
fof(m__3520,plain,
xK != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3520) ).
cnf(201,plain,
xK != sz00,
inference(cnf,[status(esa)],[m__3520]) ).
cnf(l38,plain,
xK != sz00,
inference(instantiation,[status(thm)],[201]) ).
fof(mDefSeg,plain,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( W1 = slbdtrb0(W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
<=> ( aElementOf0(W2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
cnf(81,plain,
( X0 != slbdtrb0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| aSet0(X0) ),
inference(cnf,[status(esa)],[mDefSeg]) ).
cnf(l42,plain,
( slbdtrb0(sz00) != slbdtrb0(sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| aSet0(slbdtrb0(sz00)) ),
inference(instantiation,[status(thm)],[81]) ).
fof(mZeroNum,plain,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
cnf(45,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf,[status(esa)],[mZeroNum]) ).
cnf(l238,plain,
aElementOf0(sz00,szNzAzT0),
inference(instantiation,[status(thm)],[45]) ).
fof(mSegZero,plain,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
cnf(91,plain,
slbdtrb0(sz00) = slcrc0,
inference(cnf,[status(esa)],[mSegZero]) ).
cnf(l240,plain,
slbdtrb0(sz00) = slcrc0,
inference(instantiation,[status(thm)],[91]) ).
cnf(385,plain,
sbrdtbr0(xQ) = xK,
inference(cnf,[status(esa)],[m__5078]) ).
cnf(l62,plain,
sbrdtbr0(xQ) = xK,
inference(instantiation,[status(thm)],[385]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l14,l38,l42,l238,l240,l62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM605+3 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 13:09:34 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.19/0.41 % launching worker at depth: 10
% 12.31/1.90 % launching worker at depth: 11
% 82.39/10.71 % SZS status Theorem for theBenchmark
% 82.39/10.71 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------