%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : COM012+3 : 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 : Thu Jul 24 10:54:55 AM UTC 2025
% Result : Theorem 62.75s 8.24s
% Output : CNFRefutation 62.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 39 ( 24 unt; 0 def)
% Number of atoms : 127 ( 15 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 124 ( 36 ~; 51 |; 31 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 23 ( 0 sgn 7 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ( ( xx = xy
| ( ( aReductOfIn0(xy,xx,xR)
| ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xx,xR)
& sdtmndtplgtdt0(W0,xR,xy) ) )
& sdtmndtplgtdt0(xx,xR,xy) ) )
& sdtmndtasgtdt0(xx,xR,xy)
& ( xy = xz
| ( ( aReductOfIn0(xz,xy,xR)
| ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xy,xR)
& sdtmndtplgtdt0(W0,xR,xz) ) )
& sdtmndtplgtdt0(xy,xR,xz) ) )
& sdtmndtasgtdt0(xy,xR,xz) )
=> ( xx = xz
| aReductOfIn0(xz,xx,xR)
| ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xx,xR)
& sdtmndtplgtdt0(W0,xR,xz) )
| sdtmndtplgtdt0(xx,xR,xz)
| sdtmndtasgtdt0(xx,xR,xz) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ( ( xx = xy
| ( ( aReductOfIn0(xy,xx,xR)
| ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xx,xR)
& sdtmndtplgtdt0(W0,xR,xy) ) )
& sdtmndtplgtdt0(xx,xR,xy) ) )
& sdtmndtasgtdt0(xx,xR,xy)
& ( xy = xz
| ( ( aReductOfIn0(xz,xy,xR)
| ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xy,xR)
& sdtmndtplgtdt0(W0,xR,xz) ) )
& sdtmndtplgtdt0(xy,xR,xz) ) )
& sdtmndtasgtdt0(xy,xR,xz) )
=> ( xx = xz
| aReductOfIn0(xz,xx,xR)
| ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xx,xR)
& sdtmndtplgtdt0(W0,xR,xz) )
| sdtmndtplgtdt0(xx,xR,xz)
| sdtmndtasgtdt0(xx,xR,xz) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(17,plain,
( sdtmndtplgtdt0(xx,xR,xy)
| xx = xy ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( sdtmndtplgtdt0(xx,xR,xy)
| xx = xy ),
inference(instantiation,[status(thm)],[17]) ).
fof(mTCTrans,plain,
! [W0,W1,W2,W3] :
( ( aElement0(W0)
& aRewritingSystem0(W1)
& aElement0(W2)
& aElement0(W3) )
=> ( ( sdtmndtplgtdt0(W0,W1,W2)
& sdtmndtplgtdt0(W2,W1,W3) )
=> sdtmndtplgtdt0(W0,W1,W3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCTrans) ).
cnf(6,plain,
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ sdtmndtplgtdt0(X2,X0,X3)
| sdtmndtplgtdt0(X1,X0,X3) ),
inference(cnf,[status(esa)],[mTCTrans]) ).
cnf(l3,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(xx)
| ~ aElement0(xy)
| ~ aElement0(xz)
| ~ sdtmndtplgtdt0(xx,xR,xy)
| ~ sdtmndtplgtdt0(xy,xR,xz)
| sdtmndtplgtdt0(xx,xR,xz) ),
inference(instantiation,[status(thm)],[6]) ).
fof(m__349,plain,
( aElement0(xx)
& aRewritingSystem0(xR)
& aElement0(xy)
& aElement0(xz) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__349) ).
cnf(10,plain,
aElement0(xx),
inference(cnf,[status(esa)],[m__349]) ).
cnf(l10,plain,
aElement0(xx),
inference(instantiation,[status(thm)],[10]) ).
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(9,plain,
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| sdtmndtasgtdt0(X1,X0,X2) ),
inference(cnf,[status(esa)],[mTCRDef]) ).
cnf(l148,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(xx)
| ~ aElement0(xz)
| ~ sdtmndtplgtdt0(xx,xR,xz)
| sdtmndtasgtdt0(xx,xR,xz) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(11,plain,
aRewritingSystem0(xR),
inference(cnf,[status(esa)],[m__349]) ).
cnf(l321,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[11]) ).
cnf(12,plain,
aElement0(xy),
inference(cnf,[status(esa)],[m__349]) ).
cnf(l13,plain,
aElement0(xy),
inference(instantiation,[status(thm)],[12]) ).
cnf(l221,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[11]) ).
cnf(22,plain,
( sdtmndtplgtdt0(xy,xR,xz)
| xy = xz ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l1815,plain,
( sdtmndtplgtdt0(xy,xR,xz)
| xy = xz ),
inference(instantiation,[status(thm)],[22]) ).
cnf(13,plain,
aElement0(xz),
inference(cnf,[status(esa)],[m__349]) ).
cnf(l189,plain,
aElement0(xz),
inference(instantiation,[status(thm)],[13]) ).
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(l8,plain,
( ~ aRewritingSystem0(xR)
| ~ sdtmndtasgtdt0(xx,xR,xz)
| ~ aElement0(xx)
| ~ aElement0(xz)
| sdtmndtplgtdt0(xx,xR,xz)
| xx = xz ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l36,plain,
aElement0(xz),
inference(instantiation,[status(thm)],[13]) ).
cnf(l411,plain,
aElement0(xz),
inference(instantiation,[status(thm)],[13]) ).
cnf(l186,plain,
aElement0(xx),
inference(instantiation,[status(thm)],[10]) ).
cnf(l27,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[11]) ).
cnf(24,plain,
xx != xz,
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l160,plain,
xx != xz,
inference(instantiation,[status(thm)],[24]) ).
cnf(27,plain,
~ sdtmndtplgtdt0(xx,xR,xz),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l1884,plain,
~ sdtmndtplgtdt0(xx,xR,xz),
inference(instantiation,[status(thm)],[27]) ).
cnf(28,plain,
~ sdtmndtasgtdt0(xx,xR,xz),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l190,plain,
~ sdtmndtasgtdt0(xx,xR,xz),
inference(instantiation,[status(thm)],[28]) ).
cnf(l22,plain,
aElement0(xx),
inference(instantiation,[status(thm)],[10]) ).
cnf(l1841,plain,
~ sdtmndtplgtdt0(xx,xR,xz),
inference(instantiation,[status(thm)],[27]) ).
cnf(23,plain,
sdtmndtasgtdt0(xy,xR,xz),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l65,plain,
sdtmndtasgtdt0(xy,xR,xz),
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l10,l148,l321,l13,l221,l1815,l189,l8,l36,l411,l186,l27,l160,l1884,l190,l22,l1841,l65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM012+3 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n027.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 : Sun Jul 20 06:08:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 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: 5
% 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: 9
% 0.19/0.41 % launching worker at depth: 10
% 5.39/1.06 % launching worker at depth: 11
% 62.75/8.24 % SZS status Theorem for theBenchmark
% 62.75/8.24 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------