%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : COM012+1 : 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 : n032.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 7.54s 1.27s
% Output : CNFRefutation 7.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 53 ( 37 unt; 0 def)
% Number of atoms : 123 ( 7 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 124 ( 54 ~; 53 |; 11 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ( sdtmndtasgtdt0(xx,xR,xy)
& sdtmndtasgtdt0(xy,xR,xz) )
=> sdtmndtasgtdt0(xx,xR,xz) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ( sdtmndtasgtdt0(xx,xR,xy)
& sdtmndtasgtdt0(xy,xR,xz) )
=> sdtmndtasgtdt0(xx,xR,xz) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(14,plain,
sdtmndtasgtdt0(xx,xR,xy),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
sdtmndtasgtdt0(xx,xR,xy),
inference(instantiation,[status(thm)],[14]) ).
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/sandbox2/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(xx,xR,xy)
| ~ aElement0(xx)
| ~ aElement0(xy)
| sdtmndtplgtdt0(xx,xR,xy)
| xx = xy ),
inference(instantiation,[status(thm)],[7]) ).
fof(m__349,plain,
( aElement0(xx)
& aRewritingSystem0(xR)
& aElement0(xy)
& aElement0(xz) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__349) ).
cnf(11,plain,
aRewritingSystem0(xR),
inference(cnf,[status(esa)],[m__349]) ).
cnf(l2,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[11]) ).
cnf(10,plain,
aElement0(xx),
inference(cnf,[status(esa)],[m__349]) ).
cnf(l4,plain,
aElement0(xx),
inference(instantiation,[status(thm)],[10]) ).
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/sandbox2/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]) ).
cnf(12,plain,
aElement0(xy),
inference(cnf,[status(esa)],[m__349]) ).
cnf(l13,plain,
aElement0(xy),
inference(instantiation,[status(thm)],[12]) ).
cnf(l17,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[11]) ).
cnf(l7,plain,
aElement0(xx),
inference(instantiation,[status(thm)],[10]) ).
cnf(l270,plain,
( ~ aRewritingSystem0(xR)
| ~ sdtmndtasgtdt0(xy,xR,xz)
| ~ aElement0(xy)
| ~ aElement0(xz)
| sdtmndtplgtdt0(xy,xR,xz)
| xy = xz ),
inference(instantiation,[status(thm)],[7]) ).
cnf(13,plain,
aElement0(xz),
inference(cnf,[status(esa)],[m__349]) ).
cnf(l333,plain,
aElement0(xz),
inference(instantiation,[status(thm)],[13]) ).
cnf(l479,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[11]) ).
cnf(l302,plain,
aElement0(xy),
inference(instantiation,[status(thm)],[12]) ).
cnf(l278,plain,
aElement0(xy),
inference(instantiation,[status(thm)],[12]) ).
cnf(l271,plain,
aElement0(xz),
inference(instantiation,[status(thm)],[13]) ).
cnf(9,plain,
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| sdtmndtasgtdt0(X1,X0,X2) ),
inference(cnf,[status(esa)],[mTCRDef]) ).
cnf(l303,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(xx)
| ~ aElement0(xz)
| ~ sdtmndtplgtdt0(xx,xR,xz)
| sdtmndtasgtdt0(xx,xR,xz) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(15,plain,
sdtmndtasgtdt0(xy,xR,xz),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l296,plain,
sdtmndtasgtdt0(xy,xR,xz),
inference(instantiation,[status(thm)],[15]) ).
cnf(l264,plain,
( ~ aRewritingSystem0(xR)
| ~ sdtmndtasgtdt0(xx,xR,xz)
| ~ aElement0(xx)
| ~ aElement0(xz)
| sdtmndtplgtdt0(xx,xR,xz)
| xx = xz ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l365,plain,
aElement0(xz),
inference(instantiation,[status(thm)],[13]) ).
cnf(l310,plain,
aElement0(xz),
inference(instantiation,[status(thm)],[13]) ).
cnf(l326,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[11]) ).
cnf(8,plain,
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| X1 != X2
| sdtmndtasgtdt0(X1,X0,X2) ),
inference(cnf,[status(esa)],[mTCRDef]) ).
cnf(l269,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(xx)
| ~ aElement0(xz)
| xx != xz
| sdtmndtasgtdt0(xx,xR,xz) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l261,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(xy)
| ~ aElement0(xz)
| ~ sdtmndtplgtdt0(xy,xR,xz)
| sdtmndtasgtdt0(xy,xR,xz) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l307,plain,
aElement0(xx),
inference(instantiation,[status(thm)],[10]) ).
cnf(l287,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[11]) ).
cnf(l267,plain,
aElement0(xx),
inference(instantiation,[status(thm)],[10]) ).
cnf(l284,plain,
aElement0(xz),
inference(instantiation,[status(thm)],[13]) ).
cnf(16,plain,
~ sdtmndtasgtdt0(xx,xR,xz),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l436,plain,
~ sdtmndtasgtdt0(xx,xR,xz),
inference(instantiation,[status(thm)],[16]) ).
cnf(l432,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[11]) ).
cnf(l493,plain,
~ sdtmndtasgtdt0(xx,xR,xz),
inference(instantiation,[status(thm)],[16]) ).
cnf(l376,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[11]) ).
cnf(l262,plain,
aElement0(xz),
inference(instantiation,[status(thm)],[13]) ).
cnf(l391,plain,
~ sdtmndtasgtdt0(xx,xR,xz),
inference(instantiation,[status(thm)],[16]) ).
cnf(l297,plain,
aElement0(xx),
inference(instantiation,[status(thm)],[10]) ).
cnf(l292,plain,
~ sdtmndtasgtdt0(xx,xR,xz),
inference(instantiation,[status(thm)],[16]) ).
cnf(l277,plain,
aElement0(xx),
inference(instantiation,[status(thm)],[10]) ).
cnf(l398,plain,
sdtmndtasgtdt0(xy,xR,xz),
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l3,l13,l17,l7,l270,l333,l479,l302,l278,l271,l303,l296,l264,l365,l310,l326,l269,l261,l307,l287,l267,l284,l436,l432,l493,l376,l262,l391,l297,l292,l277,l398]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : COM012+1 : TPTP v9.0.0. Released v4.0.0.
% 0.00/0.08 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.26 % Computer : n032.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Sun Jul 20 06:08:34 EDT 2025
% 0.07/0.27 % CPUTime :
% 0.07/0.27 % launching worker at depth: 1
% 0.07/0.27 % launching worker at depth: 4
% 0.07/0.27 % launching worker at depth: 5
% 0.07/0.27 % launching worker at depth: 2
% 0.07/0.27 % launching worker at depth: 3
% 0.07/0.27 % launching worker at depth: 6
% 0.07/0.27 % launching worker at depth: 7
% 0.07/0.27 % launching worker at depth: 8
% 0.07/0.27 % launching worker at depth: 9
% 0.07/0.27 % launching worker at depth: 10
% 0.10/0.28 % launching worker at depth: 11
% 0.10/0.43 % launching worker at depth: 12
% 7.54/1.27 % SZS status Theorem for theBenchmark
% 7.54/1.27 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------