%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG079+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 : n017.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 03:02:50 PM UTC 2025
% Result : Theorem 5.96s 1.13s
% Output : CNFRefutation 5.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 22 unt; 0 def)
% Number of atoms : 54 ( 10 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 37 ( 15 ~; 12 |; 9 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(93,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(instantiation,[status(thm)],[93]) ).
fof(mDistr2,plain,
! [W0,W1,W2,W3] :
( ( aScalar0(W0)
& aScalar0(W1)
& aScalar0(W2)
& aScalar0(W3) )
=> sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3)) = sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr2) ).
cnf(25,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
inference(cnf,[status(esa)],[mDistr2]) ).
cnf(l25,plain,
( ~ aScalar0(xC)
| ~ aScalar0(xF)
| ~ aScalar0(xD)
| ~ aScalar0(xG)
| sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) = sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG))) ),
inference(instantiation,[status(thm)],[25]) ).
fof(m__1783,plain,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).
cnf(68,plain,
aScalar0(xC),
inference(cnf,[status(esa)],[m__1783]) ).
cnf(l46,plain,
aScalar0(xC),
inference(instantiation,[status(thm)],[68]) ).
fof(m__1837,plain,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
cnf(74,plain,
aScalar0(xF),
inference(cnf,[status(esa)],[m__1837]) ).
cnf(l48,plain,
aScalar0(xF),
inference(instantiation,[status(thm)],[74]) ).
fof(m__2905,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2905) ).
cnf(92,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
inference(cnf,[status(esa)],[m__2905]) ).
cnf(l2,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
inference(instantiation,[status(thm)],[92]) ).
fof(m__1800,plain,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1800) ).
cnf(70,plain,
aScalar0(xD),
inference(cnf,[status(esa)],[m__1800]) ).
cnf(l47,plain,
aScalar0(xD),
inference(instantiation,[status(thm)],[70]) ).
cnf(l7,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xH)
| ~ aScalar0(xE)
| ~ aScalar0(xH)
| sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) = sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) ),
inference(instantiation,[status(thm)],[25]) ).
fof(m__1820,plain,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
cnf(72,plain,
aScalar0(xE),
inference(cnf,[status(esa)],[m__1820]) ).
cnf(l196,plain,
aScalar0(xE),
inference(instantiation,[status(thm)],[72]) ).
fof(m__1873,plain,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
cnf(78,plain,
aScalar0(xH),
inference(cnf,[status(esa)],[m__1873]) ).
cnf(l252,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[78]) ).
cnf(l16,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[78]) ).
cnf(l19,plain,
aScalar0(xE),
inference(instantiation,[status(thm)],[72]) ).
fof(m__1854,plain,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1854) ).
cnf(76,plain,
aScalar0(xG),
inference(cnf,[status(esa)],[m__1854]) ).
cnf(l49,plain,
aScalar0(xG),
inference(instantiation,[status(thm)],[76]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l25,l46,l48,l2,l47,l7,l196,l252,l16,l19,l49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG079+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 : n017.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 17:51:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 6
% 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: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.18/0.38 % launching worker at depth: 11
% 5.96/1.13 % SZS status Theorem for theBenchmark
% 5.96/1.13 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------