%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG077+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 03:02:49 PM UTC 2025
% Result : Theorem 20.68s 2.94s
% Output : CNFRefutation 20.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 19 unt; 0 def)
% Number of atoms : 59 ( 19 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 47 ( 19 ~; 16 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 13 ( 1 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(91,plain,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
inference(instantiation,[status(thm)],[91]) ).
fof(m__1911,plain,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
cnf(83,plain,
xP = sdtasdt0(xE,xH),
inference(cnf,[status(esa)],[m__1911]) ).
cnf(l15,plain,
xP = sdtasdt0(xE,xH),
inference(instantiation,[status(thm)],[83]) ).
fof(mArith,plain,
! [W0,W1,W2] :
( ( aScalar0(W0)
& aScalar0(W1)
& aScalar0(W2) )
=> ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2))
& sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
& sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))
& sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArith) ).
cnf(19,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf,[status(esa)],[mArith]) ).
cnf(l3,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| ~ aScalar0(sdtasdt0(xH,xH))
| sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(82,plain,
aScalar0(xP),
inference(cnf,[status(esa)],[m__1911]) ).
cnf(l8,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l45,plain,
xP = sdtasdt0(xE,xH),
inference(instantiation,[status(thm)],[83]) ).
cnf(l4,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
fof(mMulSc,plain,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
cnf(9,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf,[status(esa)],[mMulSc]) ).
cnf(l177,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| aScalar0(sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(22,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf,[status(esa)],[mArith]) ).
cnf(l51,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| sdtasdt0(xE,xH) = sdtasdt0(xH,xE) ),
inference(instantiation,[status(thm)],[22]) ).
fof(m__1800,plain,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
cnf(70,plain,
aScalar0(xD),
inference(cnf,[status(esa)],[m__1800]) ).
cnf(l164,plain,
aScalar0(xD),
inference(instantiation,[status(thm)],[70]) ).
fof(m__1873,plain,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
cnf(78,plain,
aScalar0(xH),
inference(cnf,[status(esa)],[m__1873]) ).
cnf(l178,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[78]) ).
cnf(l180,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[78]) ).
cnf(l61,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[78]) ).
fof(m__1820,plain,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
cnf(72,plain,
aScalar0(xE),
inference(cnf,[status(esa)],[m__1820]) ).
cnf(l55,plain,
aScalar0(xE),
inference(instantiation,[status(thm)],[72]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l15,l3,l8,l45,l4,l177,l51,l164,l178,l180,l61,l55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG077+2 : TPTP v9.0.0. Released v4.0.0.
% 0.04/0.12 % 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 17:51:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 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: 8
% 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: 4
% 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: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.19/0.38 % launching worker at depth: 11
% 1.79/0.58 % launching worker at depth: 12
% 20.68/2.94 % SZS status Theorem for theBenchmark
% 20.68/2.94 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------