%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG108+4 : 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 : n027.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 03:02:55 PM UTC 2025
% Result : Theorem 2.94s 0.70s
% Output : CNFRefutation 2.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 15 unt; 0 def)
% Number of atoms : 87 ( 26 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 82 ( 29 ~; 34 |; 17 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 3 sgn 2 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ( ? [W0] :
( aElement0(W0)
& sdtasdt0(xa,W0) = sz00 )
| aElementOf0(sz00,slsdtgt0(xa)) )
& ( ? [W0] :
( aElement0(W0)
& sdtasdt0(xa,W0) = xa )
| aElementOf0(xa,slsdtgt0(xa)) )
& ( ? [W0] :
( aElement0(W0)
& sdtasdt0(xb,W0) = sz00 )
| aElementOf0(sz00,slsdtgt0(xb)) )
& ( ? [W0] :
( aElement0(W0)
& sdtasdt0(xb,W0) = xb )
| aElementOf0(xb,slsdtgt0(xb)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ( ? [W0] :
( aElement0(W0)
& sdtasdt0(xa,W0) = sz00 )
| aElementOf0(sz00,slsdtgt0(xa)) )
& ( ? [W0] :
( aElement0(W0)
& sdtasdt0(xa,W0) = xa )
| aElementOf0(xa,slsdtgt0(xa)) )
& ( ? [W0] :
( aElement0(W0)
& sdtasdt0(xb,W0) = sz00 )
| aElementOf0(sz00,slsdtgt0(xb)) )
& ( ? [W0] :
( aElement0(W0)
& sdtasdt0(xb,W0) = xb )
| aElementOf0(xb,slsdtgt0(xb)) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(132,plain,
( ~ aElement0(X0)
| sdtasdt0(xa,X0) != sz00
| sP10(X1)
| sP8(X2)
| sP9(X3) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aElement0(sz00)
| sdtasdt0(xa,sz00) != sz00
| sP10(sz10)
| sP8(sz10)
| sP9(sz00) ),
inference(instantiation,[status(thm)],[132]) ).
cnf(137,plain,
( ~ aElement0(X0)
| sdtasdt0(xb,X0) != sz00
| ~ sP9(X0) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l7,plain,
( ~ aElement0(sz00)
| sdtasdt0(xb,sz00) != sz00
| ~ sP9(sz00) ),
inference(instantiation,[status(thm)],[137]) ).
fof(mMulZero,plain,
! [W0] :
( aElement0(W0)
=> ( sdtasdt0(W0,sz00) = sz00
& sz00 = sdtasdt0(sz00,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).
cnf(19,plain,
( ~ aElement0(X0)
| sdtasdt0(X0,sz00) = sz00 ),
inference(cnf,[status(esa)],[mMulZero]) ).
cnf(l26,plain,
( ~ aElement0(xb)
| sdtasdt0(xb,sz00) = sz00 ),
inference(instantiation,[status(thm)],[19]) ).
fof(mSortsC,plain,
aElement0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
cnf(0,plain,
aElement0(sz00),
inference(cnf,[status(esa)],[mSortsC]) ).
cnf(l12,plain,
aElement0(sz00),
inference(instantiation,[status(thm)],[0]) ).
cnf(135,plain,
( ~ aElement0(X0)
| sdtasdt0(xb,X0) != xb
| ~ sP10(X0) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l2,plain,
( ~ aElement0(sz10)
| sdtasdt0(xb,sz10) != xb
| ~ sP10(sz10) ),
inference(instantiation,[status(thm)],[135]) ).
cnf(139,plain,
( ~ aElement0(X0)
| sdtasdt0(xa,X0) != xa
| ~ sP8(X0) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l11,plain,
( ~ aElement0(sz10)
| sdtasdt0(xa,sz10) != xa
| ~ sP8(sz10) ),
inference(instantiation,[status(thm)],[139]) ).
fof(mSortsC_01,plain,
aElement0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
cnf(1,plain,
aElement0(sz10),
inference(cnf,[status(esa)],[mSortsC_01]) ).
cnf(l6,plain,
aElement0(sz10),
inference(instantiation,[status(thm)],[1]) ).
cnf(l14,plain,
aElement0(sz10),
inference(instantiation,[status(thm)],[1]) ).
fof(mMulUnit,plain,
! [W0] :
( aElement0(W0)
=> ( sdtasdt0(W0,sz10) = W0
& W0 = sdtasdt0(sz10,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulUnit) ).
cnf(13,plain,
( ~ aElement0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf,[status(esa)],[mMulUnit]) ).
cnf(l66,plain,
( ~ aElement0(xb)
| sdtasdt0(xb,sz10) = xb ),
inference(instantiation,[status(thm)],[13]) ).
fof(m__2091,plain,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2091) ).
cnf(95,plain,
aElement0(xb),
inference(cnf,[status(esa)],[m__2091]) ).
cnf(l69,plain,
aElement0(xb),
inference(instantiation,[status(thm)],[95]) ).
cnf(l1,plain,
( ~ aElement0(xa)
| sdtasdt0(xa,sz00) = sz00 ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l31,plain,
( ~ aElement0(xa)
| sdtasdt0(xa,sz10) = xa ),
inference(instantiation,[status(thm)],[13]) ).
cnf(94,plain,
aElement0(xa),
inference(cnf,[status(esa)],[m__2091]) ).
cnf(l34,plain,
aElement0(xa),
inference(instantiation,[status(thm)],[94]) ).
cnf(l30,plain,
aElement0(xb),
inference(instantiation,[status(thm)],[95]) ).
cnf(l8,plain,
aElement0(xa),
inference(instantiation,[status(thm)],[94]) ).
cnf(l18,plain,
aElement0(sz00),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l7,l26,l12,l2,l11,l6,l14,l66,l69,l1,l31,l34,l30,l8,l18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : RNG108+4 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.11 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Jul 21 18:01:49 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % launching worker at depth: 1
% 0.11/0.33 % launching worker at depth: 3
% 0.11/0.33 % launching worker at depth: 7
% 0.11/0.33 % launching worker at depth: 6
% 0.11/0.33 % launching worker at depth: 2
% 0.11/0.33 % launching worker at depth: 5
% 0.11/0.33 % launching worker at depth: 4
% 0.11/0.33 % launching worker at depth: 8
% 0.11/0.33 % launching worker at depth: 9
% 0.11/0.34 % launching worker at depth: 10
% 2.94/0.70 % SZS status Theorem for theBenchmark
% 2.94/0.70 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------