%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG104+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 : n022.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 03:02:54 PM UTC 2025
% Result : Theorem 5.01s 1.00s
% Output : CNFRefutation 5.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 18 unt; 0 def)
% Number of atoms : 69 ( 19 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 58 ( 21 ~; 18 |; 12 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 10 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(106,plain,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(instantiation,[status(thm)],[106]) ).
fof(mMulComm,plain,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
cnf(11,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf,[status(esa)],[mMulComm]) ).
cnf(l29,plain,
( ~ aElement0(xx)
| ~ aElement0(xz)
| sdtasdt0(xx,xz) = sdtasdt0(xz,xx) ),
inference(instantiation,[status(thm)],[11]) ).
fof(mEOfElem,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
cnf(23,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| aElement0(X0) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
cnf(l50,plain,
( ~ aElementOf0(xx,slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc))
| aElement0(xx) ),
inference(instantiation,[status(thm)],[23]) ).
fof(mDefPrIdeal,plain,
! [W0] :
( aElement0(W0)
=> ! [W1] :
( W1 = slsdtgt0(W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
<=> ? [W3] :
( aElement0(W3)
& sdtasdt0(W0,W3) = W2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).
cnf(84,plain,
( ~ aElement0(X0)
| X1 != slsdtgt0(X0)
| aSet0(X1) ),
inference(cnf,[status(esa)],[mDefPrIdeal]) ).
cnf(l169,plain,
( ~ aElement0(xc)
| slsdtgt0(xc) != slsdtgt0(xc)
| aSet0(slsdtgt0(xc)) ),
inference(instantiation,[status(thm)],[84]) ).
fof(m__1933,plain,
( ? [W0] :
( aElement0(W0)
& sdtasdt0(xc,W0) = xx )
& aElementOf0(xx,slsdtgt0(xc))
& ? [W0] :
( aElement0(W0)
& sdtasdt0(xc,W0) = xy )
& aElementOf0(xy,slsdtgt0(xc))
& aElement0(xz) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1933) ).
cnf(96,plain,
aElementOf0(xx,slsdtgt0(xc)),
inference(cnf,[status(esa)],[m__1933]) ).
cnf(l168,plain,
aElementOf0(xx,slsdtgt0(xc)),
inference(instantiation,[status(thm)],[96]) ).
fof(m__1905,plain,
aElement0(xc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1905) ).
cnf(93,plain,
aElement0(xc),
inference(cnf,[status(esa)],[m__1905]) ).
cnf(l170,plain,
aElement0(xc),
inference(instantiation,[status(thm)],[93]) ).
cnf(100,plain,
aElement0(xz),
inference(cnf,[status(esa)],[m__1933]) ).
cnf(l46,plain,
aElement0(xz),
inference(instantiation,[status(thm)],[100]) ).
fof(mMulAsso,plain,
! [W0,W1,W2] :
( ( aElement0(W0)
& aElement0(W1)
& aElement0(W2) )
=> sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
cnf(12,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf,[status(esa)],[mMulAsso]) ).
cnf(l364,plain,
( ~ aElement0(xc)
| ~ aElement0(xu)
| ~ aElement0(xz)
| sdtasdt0(sdtasdt0(xc,xu),xz) = sdtasdt0(xc,sdtasdt0(xu,xz)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l612,plain,
aElement0(xz),
inference(instantiation,[status(thm)],[100]) ).
fof(m__1956,plain,
( aElement0(xu)
& sdtasdt0(xc,xu) = xx ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1956) ).
cnf(101,plain,
aElement0(xu),
inference(cnf,[status(esa)],[m__1956]) ).
cnf(l609,plain,
aElement0(xu),
inference(instantiation,[status(thm)],[101]) ).
cnf(l610,plain,
aElement0(xc),
inference(instantiation,[status(thm)],[93]) ).
cnf(102,plain,
sdtasdt0(xc,xu) = xx,
inference(cnf,[status(esa)],[m__1956]) ).
cnf(l20,plain,
sdtasdt0(xc,xu) = xx,
inference(instantiation,[status(thm)],[102]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l29,l50,l169,l168,l170,l46,l364,l612,l609,l610,l20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : RNG104+2 : TPTP v9.0.0. Released v4.0.0.
% 0.02/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n022.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 18:00:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 8
% 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: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.20/0.37 % launching worker at depth: 11
% 0.20/0.51 % launching worker at depth: 12
% 5.01/1.00 % SZS status Theorem for theBenchmark
% 5.01/1.00 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------