%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG095+2 : 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 : n020.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 03:02:52 PM UTC 2025
% Result : Theorem 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 35 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 31 ( 13 ~; 10 |; 7 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 1 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
? [W0,W1] :
( aElementOf0(W0,xI)
& aElementOf0(W1,xJ)
& sdtpldt0(W0,W1) = sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ? [W0,W1] :
( aElementOf0(W0,xI)
& aElementOf0(W1,xJ)
& sdtpldt0(W0,W1) = sz10 ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(74,plain,
( sdtpldt0(X0,X1) != sz10
| ~ aElementOf0(X0,xI)
| ~ aElementOf0(X1,xJ) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( sdtpldt0(sK16(sz10),sK17(sz10)) != sz10
| ~ aElementOf0(sK16(sz10),xI)
| ~ aElementOf0(sK17(sz10),xJ) ),
inference(instantiation,[status(thm)],[74]) ).
fof(m__1205_03,plain,
! [W0] :
( aElement0(W0)
=> ( ? [W1,W2] :
( aElementOf0(W1,xI)
& aElementOf0(W2,xJ)
& sdtpldt0(W1,W2) = W0 )
& aElementOf0(W0,sdtpldt1(xI,xJ)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1205_03) ).
cnf(70,plain,
( ~ aElement0(X0)
| sdtpldt0(sK16(X0),sK17(X0)) = X0 ),
inference(cnf,[status(esa)],[m__1205_03]) ).
cnf(l2,plain,
( ~ aElement0(sz10)
| sdtpldt0(sK16(sz10),sK17(sz10)) = sz10 ),
inference(instantiation,[status(thm)],[70]) ).
cnf(69,plain,
( ~ aElement0(X0)
| aElementOf0(sK17(X0),xJ) ),
inference(cnf,[status(esa)],[m__1205_03]) ).
cnf(l3,plain,
( ~ aElement0(sz10)
| aElementOf0(sK17(sz10),xJ) ),
inference(instantiation,[status(thm)],[69]) ).
fof(mSortsC_01,plain,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
cnf(1,plain,
aElement0(sz10),
inference(cnf,[status(esa)],[mSortsC_01]) ).
cnf(l4,plain,
aElement0(sz10),
inference(instantiation,[status(thm)],[1]) ).
cnf(68,plain,
( ~ aElement0(X0)
| aElementOf0(sK16(X0),xI) ),
inference(cnf,[status(esa)],[m__1205_03]) ).
cnf(l1,plain,
( ~ aElement0(sz10)
| aElementOf0(sK16(sz10),xI) ),
inference(instantiation,[status(thm)],[68]) ).
cnf(l7,plain,
aElement0(sz10),
inference(instantiation,[status(thm)],[1]) ).
cnf(l15,plain,
aElement0(sz10),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l3,l4,l1,l7,l15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : RNG095+2 : TPTP v9.0.0. Released v4.0.0.
% 0.00/0.10 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Computer : n020.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Jul 21 17:57:04 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % launching worker at depth: 5
% 0.15/0.31 % launching worker at depth: 4
% 0.15/0.31 % launching worker at depth: 1
% 0.15/0.31 % launching worker at depth: 2
% 0.15/0.31 % launching worker at depth: 3
% 0.15/0.31 % launching worker at depth: 6
% 0.15/0.31 % launching worker at depth: 7
% 0.15/0.31 % launching worker at depth: 8
% 0.15/0.31 % launching worker at depth: 9
% 0.15/0.32 % SZS status Theorem for theBenchmark
% 0.15/0.32 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------