%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG105+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 : n018.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 0.19s 0.44s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 20 unt; 0 def)
% Number of atoms : 86 ( 23 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 73 ( 25 ~; 26 |; 19 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 23 ( 1 sgn 7 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ( ? [W0] :
( aElement0(W0)
& sdtasdt0(xc,W0) = sdtpldt0(xx,xy) )
| aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) )
& ( ? [W0] :
( aElement0(W0)
& sdtasdt0(xc,W0) = sdtasdt0(xz,xx) )
| aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ( ? [W0] :
( aElement0(W0)
& sdtasdt0(xc,W0) = sdtpldt0(xx,xy) )
| aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) )
& ( ? [W0] :
( aElement0(W0)
& sdtasdt0(xc,W0) = sdtasdt0(xz,xx) )
| aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(107,plain,
( ~ aElement0(X0)
| sdtasdt0(xc,X0) != sdtpldt0(xx,xy)
| sP6(X1) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aElement0(sdtpldt0(xu,xv))
| sdtasdt0(xc,sdtpldt0(xu,xv)) != sdtpldt0(xx,xy)
| sP6(sdtasdt0(xu,xz)) ),
inference(instantiation,[status(thm)],[107]) ).
fof(mAMDistr,plain,
! [W0,W1,W2] :
( ( aElement0(W0)
& aElement0(W1)
& aElement0(W2) )
=> ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
& sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
cnf(15,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf,[status(esa)],[mAMDistr]) ).
cnf(l2,plain,
( ~ aElement0(xc)
| ~ aElement0(xu)
| ~ aElement0(xv)
| sdtasdt0(xc,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xc,xu),sdtasdt0(xc,xv)) ),
inference(instantiation,[status(thm)],[15]) ).
fof(m__1979,plain,
( aElement0(xv)
& sdtasdt0(xc,xv) = xy ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1979) ).
cnf(104,plain,
sdtasdt0(xc,xv) = xy,
inference(cnf,[status(esa)],[m__1979]) ).
cnf(l32,plain,
sdtasdt0(xc,xv) = xy,
inference(instantiation,[status(thm)],[104]) ).
fof(m__1956,plain,
( aElement0(xu)
& sdtasdt0(xc,xu) = xx ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1956) ).
cnf(102,plain,
sdtasdt0(xc,xu) = xx,
inference(cnf,[status(esa)],[m__1956]) ).
cnf(l15,plain,
sdtasdt0(xc,xu) = xx,
inference(instantiation,[status(thm)],[102]) ).
cnf(101,plain,
aElement0(xu),
inference(cnf,[status(esa)],[m__1956]) ).
cnf(l7,plain,
aElement0(xu),
inference(instantiation,[status(thm)],[101]) ).
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(l9,plain,
aElement0(xc),
inference(instantiation,[status(thm)],[93]) ).
fof(mSortsB,plain,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> aElement0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
cnf(3,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| aElement0(sdtpldt0(X0,X1)) ),
inference(cnf,[status(esa)],[mSortsB]) ).
cnf(l20,plain,
( ~ aElement0(xu)
| ~ aElement0(xv)
| aElement0(sdtpldt0(xu,xv)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(103,plain,
aElement0(xv),
inference(cnf,[status(esa)],[m__1979]) ).
cnf(l59,plain,
aElement0(xv),
inference(instantiation,[status(thm)],[103]) ).
cnf(l21,plain,
aElement0(xv),
inference(instantiation,[status(thm)],[103]) ).
cnf(110,plain,
( ~ aElement0(X0)
| sdtasdt0(xc,X0) != sdtasdt0(xz,xx)
| ~ sP6(X0) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l3,plain,
( ~ aElement0(sdtasdt0(xu,xz))
| sdtasdt0(xc,sdtasdt0(xu,xz)) != sdtasdt0(xz,xx)
| ~ sP6(sdtasdt0(xu,xz)) ),
inference(instantiation,[status(thm)],[110]) ).
fof(m__2043,plain,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2043) ).
cnf(106,plain,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(cnf,[status(esa)],[m__2043]) ).
cnf(l13,plain,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(instantiation,[status(thm)],[106]) ).
fof(mSortsB_02,plain,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> aElement0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
cnf(4,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| aElement0(sdtasdt0(X0,X1)) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
cnf(l10,plain,
( ~ aElement0(xu)
| ~ aElement0(xz)
| aElement0(sdtasdt0(xu,xz)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l24,plain,
aElement0(xu),
inference(instantiation,[status(thm)],[101]) ).
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(100,plain,
aElement0(xz),
inference(cnf,[status(esa)],[m__1933]) ).
cnf(l18,plain,
aElement0(xz),
inference(instantiation,[status(thm)],[100]) ).
cnf(l19,plain,
aElement0(xu),
inference(instantiation,[status(thm)],[101]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l32,l15,l7,l9,l20,l59,l21,l3,l13,l10,l24,l18,l19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG105+2 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 18:01:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.19/0.44 % SZS status Theorem for theBenchmark
% 0.19/0.44 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------