%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : COM021+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 : n024.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 : Thu Jul 24 10:54:57 AM UTC 2025
% Result : Theorem 3.79s 0.81s
% Output : CNFRefutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 26 unt; 0 def)
% Number of atoms : 134 ( 15 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 125 ( 34 ~; 49 |; 38 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 25 ( 1 sgn 6 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( xb = xd
| aReductOfIn0(xd,xb,xR)
| ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xb,xR)
& sdtmndtplgtdt0(W0,xR,xd) )
| sdtmndtplgtdt0(xb,xR,xd)
| sdtmndtasgtdt0(xb,xR,xd) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( xb = xd
| aReductOfIn0(xd,xb,xR)
| ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xb,xR)
& sdtmndtplgtdt0(W0,xR,xd) )
| sdtmndtplgtdt0(xb,xR,xd)
| sdtmndtasgtdt0(xb,xR,xd) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(132,plain,
xb != xd,
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
xb != xd,
inference(instantiation,[status(thm)],[132]) ).
fof(mTCRDef,plain,
! [W0,W1,W2] :
( ( aElement0(W0)
& aRewritingSystem0(W1)
& aElement0(W2) )
=> ( sdtmndtasgtdt0(W0,W1,W2)
<=> ( W0 = W2
| sdtmndtplgtdt0(W0,W1,W2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).
cnf(7,plain,
( ~ aRewritingSystem0(X0)
| ~ sdtmndtasgtdt0(X1,X0,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtmndtplgtdt0(X1,X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[mTCRDef]) ).
cnf(l1,plain,
( ~ aRewritingSystem0(xR)
| ~ sdtmndtasgtdt0(xb,xR,xd)
| ~ aElement0(xb)
| ~ aElement0(xd)
| sdtmndtplgtdt0(xb,xR,xd)
| xb = xd ),
inference(instantiation,[status(thm)],[7]) ).
cnf(9,plain,
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| sdtmndtasgtdt0(X1,X0,X2) ),
inference(cnf,[status(esa)],[mTCRDef]) ).
cnf(l7,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(xb)
| ~ aElement0(xd)
| ~ sdtmndtplgtdt0(xb,xR,xd)
| sdtmndtasgtdt0(xb,xR,xd) ),
inference(instantiation,[status(thm)],[9]) ).
fof(m__731,plain,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
cnf(57,plain,
aElement0(xb),
inference(cnf,[status(esa)],[m__731]) ).
cnf(l27,plain,
aElement0(xb),
inference(instantiation,[status(thm)],[57]) ).
cnf(l3,plain,
aElement0(xb),
inference(instantiation,[status(thm)],[57]) ).
fof(m__656,plain,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
cnf(39,plain,
aRewritingSystem0(xR),
inference(cnf,[status(esa)],[m__656]) ).
cnf(l18,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[39]) ).
cnf(l2,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[39]) ).
cnf(136,plain,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l104,plain,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(instantiation,[status(thm)],[136]) ).
fof(mNFRDef,plain,
! [W0,W1] :
( ( aElement0(W0)
& aRewritingSystem0(W1) )
=> ! [W2] :
( aNormalFormOfIn0(W2,W0,W1)
<=> ( aElement0(W2)
& sdtmndtasgtdt0(W0,W1,W2)
& ~ ? [W3] : aReductOfIn0(W3,W2,W1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNFRDef) ).
cnf(34,plain,
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aNormalFormOfIn0(X2,X1,X0)
| aElement0(X2) ),
inference(cnf,[status(esa)],[mNFRDef]) ).
cnf(l10,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(xw)
| ~ aNormalFormOfIn0(xd,xw,xR)
| aElement0(xd) ),
inference(instantiation,[status(thm)],[34]) ).
fof(m__818,plain,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xw,xR)
& sdtmndtplgtdt0(W0,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ~ ? [W0] : aReductOfIn0(W0,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).
cnf(120,plain,
aNormalFormOfIn0(xd,xw,xR),
inference(cnf,[status(esa)],[m__818]) ).
cnf(l41,plain,
aNormalFormOfIn0(xd,xw,xR),
inference(instantiation,[status(thm)],[120]) ).
cnf(l22,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[39]) ).
fof(m__850,plain,
( aElement0(xx)
& ( xb = xx
| ( ( aReductOfIn0(xx,xb,xR)
| ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xb,xR)
& sdtmndtplgtdt0(W0,xR,xx) ) )
& sdtmndtplgtdt0(xb,xR,xx) ) )
& sdtmndtasgtdt0(xb,xR,xx)
& ( xd = xx
| ( ( aReductOfIn0(xx,xd,xR)
| ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xd,xR)
& sdtmndtplgtdt0(W0,xR,xx) ) )
& sdtmndtplgtdt0(xd,xR,xx) ) )
& sdtmndtasgtdt0(xd,xR,xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__850) ).
cnf(128,plain,
( aReductOfIn0(xx,xd,xR)
| aReductOfIn0(sK31,xd,xR)
| xd = xx ),
inference(cnf,[status(esa)],[m__850]) ).
cnf(l37,plain,
( aReductOfIn0(xx,xd,xR)
| aReductOfIn0(sK31,xd,xR)
| xd = xx ),
inference(instantiation,[status(thm)],[128]) ).
fof(m__799,plain,
( aElement0(xw)
& ( xu = xw
| ( ( aReductOfIn0(xw,xu,xR)
| ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xu,xR)
& sdtmndtplgtdt0(W0,xR,xw) ) )
& sdtmndtplgtdt0(xu,xR,xw) ) )
& sdtmndtasgtdt0(xu,xR,xw)
& ( xv = xw
| ( ( aReductOfIn0(xw,xv,xR)
| ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xv,xR)
& sdtmndtplgtdt0(W0,xR,xw) ) )
& sdtmndtplgtdt0(xv,xR,xw) ) )
& sdtmndtasgtdt0(xv,xR,xw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).
cnf(102,plain,
aElement0(xw),
inference(cnf,[status(esa)],[m__799]) ).
cnf(l11,plain,
aElement0(xw),
inference(instantiation,[status(thm)],[102]) ).
cnf(119,plain,
~ aReductOfIn0(X0,xd,xR),
inference(cnf,[status(esa)],[m__818]) ).
cnf(l108,plain,
~ aReductOfIn0(xx,xd,xR),
inference(instantiation,[status(thm)],[119]) ).
cnf(l92,plain,
~ aReductOfIn0(sK31,xd,xR),
inference(instantiation,[status(thm)],[119]) ).
cnf(l14,plain,
( aReductOfIn0(xx,xd,xR)
| aReductOfIn0(sK31,xd,xR)
| xd = xx ),
inference(instantiation,[status(thm)],[128]) ).
cnf(l166,plain,
~ aReductOfIn0(xx,xd,xR),
inference(instantiation,[status(thm)],[119]) ).
cnf(l225,plain,
~ aReductOfIn0(sK31,xd,xR),
inference(instantiation,[status(thm)],[119]) ).
cnf(126,plain,
sdtmndtasgtdt0(xb,xR,xx),
inference(cnf,[status(esa)],[m__850]) ).
cnf(l31,plain,
sdtmndtasgtdt0(xb,xR,xx),
inference(instantiation,[status(thm)],[126]) ).
cnf(121,plain,
aElement0(xx),
inference(cnf,[status(esa)],[m__850]) ).
cnf(l5,plain,
aElement0(xx),
inference(instantiation,[status(thm)],[121]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l7,l27,l3,l18,l2,l104,l10,l41,l22,l37,l11,l108,l92,l14,l166,l225,l31,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : COM021+4 : TPTP v9.0.0. Released v4.0.0.
% 0.04/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.29 % Computer : n024.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Sun Jul 20 06:11:04 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % launching worker at depth: 2
% 0.08/0.29 % launching worker at depth: 4
% 0.08/0.29 % launching worker at depth: 6
% 0.08/0.29 % launching worker at depth: 1
% 0.08/0.29 % launching worker at depth: 7
% 0.08/0.29 % launching worker at depth: 3
% 0.08/0.29 % launching worker at depth: 8
% 0.08/0.29 % launching worker at depth: 5
% 0.08/0.29 % launching worker at depth: 9
% 0.13/0.39 % launching worker at depth: 10
% 3.79/0.81 % SZS status Theorem for theBenchmark
% 3.79/0.81 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------