%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : COM017+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 10:54:56 AM UTC 2025
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 30 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 115 ( 49 ~; 46 |; 17 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 20 ( 0 sgn 4 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
? [W0] :
( aElement0(W0)
& sdtmndtasgtdt0(xu,xR,W0)
& sdtmndtasgtdt0(xv,xR,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ? [W0] :
( aElement0(W0)
& sdtmndtasgtdt0(xu,xR,W0)
& sdtmndtasgtdt0(xv,xR,W0) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(56,plain,
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ sdtmndtasgtdt0(xv,xR,X0)
| ~ aElement0(X0) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ sdtmndtasgtdt0(xu,xR,sK8(xR,xa,xv,xu))
| ~ sdtmndtasgtdt0(xv,xR,sK8(xR,xa,xv,xu))
| ~ aElement0(sK8(xR,xa,xv,xu)) ),
inference(instantiation,[status(thm)],[56]) ).
fof(mWCRDef,plain,
! [W0] :
( aRewritingSystem0(W0)
=> ( isLocallyConfluent0(W0)
<=> ! [W1,W2,W3] :
( ( aElement0(W1)
& aElement0(W2)
& aElement0(W3)
& aReductOfIn0(W2,W1,W0)
& aReductOfIn0(W3,W1,W0) )
=> ? [W4] :
( aElement0(W4)
& sdtmndtasgtdt0(W2,W0,W4)
& sdtmndtasgtdt0(W3,W0,W4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mWCRDef) ).
cnf(20,plain,
( ~ aReductOfIn0(X0,X1,X2)
| ~ aReductOfIn0(X3,X1,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ isLocallyConfluent0(X2)
| aElement0(sK8(X2,X1,X0,X3)) ),
inference(cnf,[status(esa)],[mWCRDef]) ).
cnf(l2,plain,
( ~ aReductOfIn0(xv,xa,xR)
| ~ aReductOfIn0(xu,xa,xR)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xa)
| ~ aElement0(xv)
| ~ aElement0(xu)
| ~ isLocallyConfluent0(xR)
| aElement0(sK8(xR,xa,xv,xu)) ),
inference(instantiation,[status(thm)],[20]) ).
fof(m__755,plain,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& sdtmndtasgtdt0(xu,xR,xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__755) ).
cnf(51,plain,
aReductOfIn0(xu,xa,xR),
inference(cnf,[status(esa)],[m__755]) ).
cnf(l5,plain,
aReductOfIn0(xu,xa,xR),
inference(instantiation,[status(thm)],[51]) ).
cnf(50,plain,
aElement0(xu),
inference(cnf,[status(esa)],[m__755]) ).
cnf(l17,plain,
aElement0(xu),
inference(instantiation,[status(thm)],[50]) ).
fof(m__731,plain,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
cnf(42,plain,
aElement0(xa),
inference(cnf,[status(esa)],[m__731]) ).
cnf(l13,plain,
aElement0(xa),
inference(instantiation,[status(thm)],[42]) ).
cnf(21,plain,
( ~ aReductOfIn0(X0,X1,X2)
| ~ aReductOfIn0(X3,X1,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ isLocallyConfluent0(X2)
| sdtmndtasgtdt0(X0,X2,sK8(X2,X1,X0,X3)) ),
inference(cnf,[status(esa)],[mWCRDef]) ).
cnf(l1,plain,
( ~ aReductOfIn0(xv,xa,xR)
| ~ aReductOfIn0(xu,xa,xR)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xa)
| ~ aElement0(xv)
| ~ aElement0(xu)
| ~ isLocallyConfluent0(xR)
| sdtmndtasgtdt0(xv,xR,sK8(xR,xa,xv,xu)) ),
inference(instantiation,[status(thm)],[21]) ).
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(l21,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[39]) ).
fof(m__656_01,plain,
( isLocallyConfluent0(xR)
& isTerminating0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656_01) ).
cnf(40,plain,
isLocallyConfluent0(xR),
inference(cnf,[status(esa)],[m__656_01]) ).
cnf(l18,plain,
isLocallyConfluent0(xR),
inference(instantiation,[status(thm)],[40]) ).
cnf(22,plain,
( ~ aReductOfIn0(X0,X1,X2)
| ~ aReductOfIn0(X3,X1,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ isLocallyConfluent0(X2)
| sdtmndtasgtdt0(X3,X2,sK8(X2,X1,X0,X3)) ),
inference(cnf,[status(esa)],[mWCRDef]) ).
cnf(l3,plain,
( ~ aReductOfIn0(xv,xa,xR)
| ~ aReductOfIn0(xu,xa,xR)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xa)
| ~ aElement0(xv)
| ~ aElement0(xu)
| ~ isLocallyConfluent0(xR)
| sdtmndtasgtdt0(xu,xR,sK8(xR,xa,xv,xu)) ),
inference(instantiation,[status(thm)],[22]) ).
fof(m__779,plain,
( aElement0(xv)
& aReductOfIn0(xv,xa,xR)
& sdtmndtasgtdt0(xv,xR,xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__779) ).
cnf(54,plain,
aReductOfIn0(xv,xa,xR),
inference(cnf,[status(esa)],[m__779]) ).
cnf(l7,plain,
aReductOfIn0(xv,xa,xR),
inference(instantiation,[status(thm)],[54]) ).
cnf(l23,plain,
aElement0(xu),
inference(instantiation,[status(thm)],[50]) ).
cnf(l9,plain,
aElement0(xa),
inference(instantiation,[status(thm)],[42]) ).
cnf(l11,plain,
aReductOfIn0(xv,xa,xR),
inference(instantiation,[status(thm)],[54]) ).
cnf(l6,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[39]) ).
cnf(l4,plain,
aReductOfIn0(xu,xa,xR),
inference(instantiation,[status(thm)],[51]) ).
cnf(53,plain,
aElement0(xv),
inference(cnf,[status(esa)],[m__779]) ).
cnf(l15,plain,
aElement0(xv),
inference(instantiation,[status(thm)],[53]) ).
cnf(l14,plain,
isLocallyConfluent0(xR),
inference(instantiation,[status(thm)],[40]) ).
cnf(l24,plain,
aElement0(xv),
inference(instantiation,[status(thm)],[53]) ).
cnf(l10,plain,
aElement0(xv),
inference(instantiation,[status(thm)],[53]) ).
cnf(l12,plain,
aElement0(xu),
inference(instantiation,[status(thm)],[50]) ).
cnf(l20,plain,
aElement0(xa),
inference(instantiation,[status(thm)],[42]) ).
cnf(l8,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[39]) ).
cnf(l16,plain,
aReductOfIn0(xv,xa,xR),
inference(instantiation,[status(thm)],[54]) ).
cnf(l19,plain,
aReductOfIn0(xu,xa,xR),
inference(instantiation,[status(thm)],[51]) ).
cnf(l22,plain,
isLocallyConfluent0(xR),
inference(instantiation,[status(thm)],[40]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l5,l17,l13,l1,l21,l18,l3,l7,l23,l9,l11,l6,l4,l15,l14,l24,l10,l12,l20,l8,l16,l19,l22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COM017+1 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.13 % 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 06:08:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % SZS status Theorem for theBenchmark
% 0.12/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------