%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG103+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 : n031.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 0.42s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 16 unt; 0 def)
% Number of atoms : 33 ( 14 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 21 ( 9 ~; 6 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
sdtpldt0(xx,xy) != sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(105,plain,
sdtpldt0(xx,xy) != sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
sdtpldt0(xx,xy) != sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(instantiation,[status(thm)],[105]) ).
fof(m__1956,plain,
( aElement0(xu)
& sdtasdt0(xc,xu) = xx ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1956) ).
cnf(102,plain,
sdtasdt0(xc,xu) = xx,
inference(cnf,[status(esa)],[m__1956]) ).
cnf(l11,plain,
sdtasdt0(xc,xu) = xx,
inference(instantiation,[status(thm)],[102]) ).
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/sandbox/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(l16,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/sandbox/benchmark/theBenchmark.p',m__1979) ).
cnf(104,plain,
sdtasdt0(xc,xv) = xy,
inference(cnf,[status(esa)],[m__1979]) ).
cnf(l6,plain,
sdtasdt0(xc,xv) = xy,
inference(instantiation,[status(thm)],[104]) ).
cnf(103,plain,
aElement0(xv),
inference(cnf,[status(esa)],[m__1979]) ).
cnf(l46,plain,
aElement0(xv),
inference(instantiation,[status(thm)],[103]) ).
cnf(101,plain,
aElement0(xu),
inference(cnf,[status(esa)],[m__1956]) ).
cnf(l27,plain,
aElement0(xu),
inference(instantiation,[status(thm)],[101]) ).
fof(m__1905,plain,
aElement0(xc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1905) ).
cnf(93,plain,
aElement0(xc),
inference(cnf,[status(esa)],[m__1905]) ).
cnf(l18,plain,
aElement0(xc),
inference(instantiation,[status(thm)],[93]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l11,l16,l6,l46,l27,l18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG103+2 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n031.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 18:00:19 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: 3
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 4
% 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
% 0.13/0.38 % launching worker at depth: 11
% 0.19/0.42 % SZS status Theorem for theBenchmark
% 0.19/0.42 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------