%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : COM016+1 : 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 27.85s 3.82s
% Output : CNFRefutation 27.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 42 ( 22 unt; 0 def)
% Number of atoms : 112 ( 3 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 118 ( 48 ~; 50 |; 14 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 28 ( 0 sgn 9 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xa,xR)
& sdtmndtasgtdt0(W0,xR,xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xa,xR)
& sdtmndtasgtdt0(W0,xR,xb) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(50,plain,
( ~ aReductOfIn0(X0,xa,xR)
| ~ sdtmndtasgtdt0(X0,xR,xb)
| ~ aElement0(X0) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aReductOfIn0(xb,xa,xR)
| ~ sdtmndtasgtdt0(xb,xR,xb)
| ~ aElement0(xb) ),
inference(instantiation,[status(thm)],[50]) ).
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(8,plain,
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| X1 != X2
| sdtmndtasgtdt0(X1,X0,X2) ),
inference(cnf,[status(esa)],[mTCRDef]) ).
cnf(l1,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(xb)
| ~ aElement0(xb)
| xb != xb
| sdtmndtasgtdt0(xb,xR,xb) ),
inference(instantiation,[status(thm)],[8]) ).
fof(mTCDef,plain,
! [W0,W1,W2] :
( ( aElement0(W0)
& aRewritingSystem0(W1)
& aElement0(W2) )
=> ( sdtmndtplgtdt0(W0,W1,W2)
<=> ( aReductOfIn0(W2,W0,W1)
| ? [W3] :
( aElement0(W3)
& aReductOfIn0(W3,W0,W1)
& sdtmndtplgtdt0(W3,W1,W2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCDef) ).
cnf(2,plain,
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| aReductOfIn0(X2,X1,X0)
| aReductOfIn0(sK1(X1,X0,X2),X1,X0) ),
inference(cnf,[status(esa)],[mTCDef]) ).
cnf(l4,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(xa)
| ~ aElement0(xb)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| aReductOfIn0(xb,xa,xR)
| aReductOfIn0(sK1(xa,xR,xb),xa,xR) ),
inference(instantiation,[status(thm)],[2]) ).
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(l3,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[39]) ).
cnf(l29,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[39]) ).
fof(m__731,plain,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
cnf(43,plain,
aElement0(xb),
inference(cnf,[status(esa)],[m__731]) ).
cnf(l96,plain,
aElement0(xb),
inference(instantiation,[status(thm)],[43]) ).
cnf(l13,plain,
aElement0(xb),
inference(instantiation,[status(thm)],[43]) ).
cnf(l8,plain,
aElement0(xb),
inference(instantiation,[status(thm)],[43]) ).
fof(mReduct,plain,
! [W0,W1] :
( ( aElement0(W0)
& aRewritingSystem0(W1) )
=> ! [W2] :
( aReductOfIn0(W2,W0,W1)
=> aElement0(W2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mReduct) ).
cnf(0,plain,
( ~ aReductOfIn0(X0,X1,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| aElement0(X0) ),
inference(cnf,[status(esa)],[mReduct]) ).
cnf(l19,plain,
( ~ aReductOfIn0(sK1(xa,xR,xb),xa,xR)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xa)
| aElement0(sK1(xa,xR,xb)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l25,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[39]) ).
cnf(l7,plain,
aElement0(xb),
inference(instantiation,[status(thm)],[43]) ).
cnf(42,plain,
aElement0(xa),
inference(cnf,[status(esa)],[m__731]) ).
cnf(l33,plain,
aElement0(xa),
inference(instantiation,[status(thm)],[42]) ).
cnf(l338,plain,
aElement0(xa),
inference(instantiation,[status(thm)],[42]) ).
fof(m__731_02,plain,
( sdtmndtplgtdt0(xa,xR,xb)
& sdtmndtplgtdt0(xa,xR,xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731_02) ).
cnf(48,plain,
sdtmndtplgtdt0(xa,xR,xb),
inference(cnf,[status(esa)],[m__731_02]) ).
cnf(l18,plain,
sdtmndtplgtdt0(xa,xR,xb),
inference(instantiation,[status(thm)],[48]) ).
cnf(9,plain,
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| sdtmndtasgtdt0(X1,X0,X2) ),
inference(cnf,[status(esa)],[mTCRDef]) ).
cnf(l65,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(sK1(xa,xR,xb))
| ~ aElement0(xb)
| ~ sdtmndtplgtdt0(sK1(xa,xR,xb),xR,xb)
| sdtmndtasgtdt0(sK1(xa,xR,xb),xR,xb) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l112,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[39]) ).
cnf(3,plain,
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| aReductOfIn0(X2,X1,X0)
| sdtmndtplgtdt0(sK1(X1,X0,X2),X0,X2) ),
inference(cnf,[status(esa)],[mTCDef]) ).
cnf(l207,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(xa)
| ~ aElement0(xb)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| aReductOfIn0(xb,xa,xR)
| sdtmndtplgtdt0(sK1(xa,xR,xb),xR,xb) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l856,plain,
sdtmndtplgtdt0(xa,xR,xb),
inference(instantiation,[status(thm)],[48]) ).
cnf(l387,plain,
aElement0(xb),
inference(instantiation,[status(thm)],[43]) ).
cnf(l2854,plain,
aElement0(xa),
inference(instantiation,[status(thm)],[42]) ).
cnf(l208,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[39]) ).
cnf(l833,plain,
aElement0(xb),
inference(instantiation,[status(thm)],[43]) ).
cnf(l861,plain,
( ~ aReductOfIn0(sK1(xa,xR,xb),xa,xR)
| ~ sdtmndtasgtdt0(sK1(xa,xR,xb),xR,xb)
| ~ aElement0(sK1(xa,xR,xb)) ),
inference(instantiation,[status(thm)],[50]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l3,l29,l96,l13,l8,l19,l25,l7,l33,l338,l18,l65,l112,l207,l856,l387,l2854,l208,l833,l861]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM016+1 : 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 06:09:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 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: 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: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.20/0.44 % launching worker at depth: 11
% 10.11/1.63 % launching worker at depth: 12
% 27.85/3.82 % SZS status Theorem for theBenchmark
% 27.85/3.82 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------