%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG089+2 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 03:02:51 PM UTC 2025
% Result : Theorem 0.19s 0.35s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 65 ( 3 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 58 ( 15 ~; 12 |; 21 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( aElementOf0(sdtasdt0(xz,xk),xI)
& aElementOf0(sdtasdt0(xz,xl),xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( aElementOf0(sdtasdt0(xz,xk),xI)
& aElementOf0(sdtasdt0(xz,xl),xJ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(81,plain,
( ~ aElementOf0(sdtasdt0(xz,xk),xI)
| ~ aElementOf0(sdtasdt0(xz,xl),xJ) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aElementOf0(sdtasdt0(xz,xk),xI)
| ~ aElementOf0(sdtasdt0(xz,xl),xJ) ),
inference(instantiation,[status(thm)],[81]) ).
fof(m__870,plain,
( aSet0(xI)
& ! [W0] :
( aElementOf0(W0,xI)
=> ( ! [W1] :
( aElementOf0(W1,xI)
=> aElementOf0(sdtpldt0(W0,W1),xI) )
& ! [W1] :
( aElement0(W1)
=> aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [W0] :
( aElementOf0(W0,xJ)
=> ( ! [W1] :
( aElementOf0(W1,xJ)
=> aElementOf0(sdtpldt0(W0,W1),xJ) )
& ! [W1] :
( aElement0(W1)
=> aElementOf0(sdtasdt0(W1,W0),xJ) ) ) )
& aIdeal0(xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__870) ).
cnf(58,plain,
( ~ aElement0(X0)
| ~ aElementOf0(X1,xI)
| aElementOf0(sdtasdt0(X0,X1),xI) ),
inference(cnf,[status(esa)],[m__870]) ).
cnf(l1,plain,
( ~ aElement0(xz)
| ~ aElementOf0(xk,xI)
| aElementOf0(sdtasdt0(xz,xk),xI) ),
inference(instantiation,[status(thm)],[58]) ).
fof(m__934,plain,
( aElementOf0(xk,xI)
& aElementOf0(xl,xJ)
& xx = sdtpldt0(xk,xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__934) ).
cnf(73,plain,
aElementOf0(xk,xI),
inference(cnf,[status(esa)],[m__934]) ).
cnf(l3,plain,
aElementOf0(xk,xI),
inference(instantiation,[status(thm)],[73]) ).
fof(m__901,plain,
( ? [W0,W1] :
( aElementOf0(W0,xI)
& aElementOf0(W1,xJ)
& sdtpldt0(W0,W1) = xx )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [W0,W1] :
( aElementOf0(W0,xI)
& aElementOf0(W1,xJ)
& sdtpldt0(W0,W1) = xy )
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__901) ).
cnf(72,plain,
aElement0(xz),
inference(cnf,[status(esa)],[m__901]) ).
cnf(l5,plain,
aElement0(xz),
inference(instantiation,[status(thm)],[72]) ).
fof(mDefIdeal,plain,
! [W0] :
( aIdeal0(W0)
<=> ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> ( ! [W2] :
( aElementOf0(W2,W0)
=> aElementOf0(sdtpldt0(W1,W2),W0) )
& ! [W2] :
( aElement0(W2)
=> aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
cnf(50,plain,
( ~ aElement0(X0)
| ~ aIdeal0(X1)
| ~ aElementOf0(X2,X1)
| aElementOf0(sdtasdt0(X0,X2),X1) ),
inference(cnf,[status(esa)],[mDefIdeal]) ).
cnf(l2,plain,
( ~ aElement0(xz)
| ~ aIdeal0(xJ)
| ~ aElementOf0(xl,xJ)
| aElementOf0(sdtasdt0(xz,xl),xJ) ),
inference(instantiation,[status(thm)],[50]) ).
cnf(74,plain,
aElementOf0(xl,xJ),
inference(cnf,[status(esa)],[m__934]) ).
cnf(l9,plain,
aElementOf0(xl,xJ),
inference(instantiation,[status(thm)],[74]) ).
cnf(63,plain,
aIdeal0(xJ),
inference(cnf,[status(esa)],[m__870]) ).
cnf(l11,plain,
aIdeal0(xJ),
inference(instantiation,[status(thm)],[63]) ).
cnf(l8,plain,
aElement0(xz),
inference(instantiation,[status(thm)],[72]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l5,l2,l9,l11,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG089+2 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n019.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 17:55:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.19/0.35 % SZS status Theorem for theBenchmark
% 0.19/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------