%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : COM018+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 : n021.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 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 10 unt; 0 def)
% Number of atoms : 87 ( 6 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 81 ( 11 ~; 26 |; 39 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 1 sgn 7 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
? [W0] :
( ( aElement0(W0)
& ( xw = W0
| aReductOfIn0(W0,xw,xR)
| ? [W1] :
( aElement0(W1)
& aReductOfIn0(W1,xw,xR)
& sdtmndtplgtdt0(W1,xR,W0) )
| sdtmndtplgtdt0(xw,xR,W0)
| sdtmndtasgtdt0(xw,xR,W0) )
& ~ ? [W1] : aReductOfIn0(W1,W0,xR) )
| aNormalFormOfIn0(W0,xw,xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ? [W0] :
( ( aElement0(W0)
& ( xw = W0
| aReductOfIn0(W0,xw,xR)
| ? [W1] :
( aElement0(W1)
& aReductOfIn0(W1,xw,xR)
& sdtmndtplgtdt0(W1,xR,W0) )
| sdtmndtplgtdt0(xw,xR,W0)
| sdtmndtasgtdt0(xw,xR,W0) )
& ~ ? [W1] : aReductOfIn0(W1,W0,xR) )
| aNormalFormOfIn0(W0,xw,xR) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(118,plain,
~ aNormalFormOfIn0(X0,xw,xR),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aNormalFormOfIn0(sK16(xR,xw),xw,xR),
inference(instantiation,[status(thm)],[118]) ).
fof(mTermNF,plain,
! [W0] :
( ( aRewritingSystem0(W0)
& isTerminating0(W0) )
=> ! [W1] :
( aElement0(W1)
=> ? [W2] : aNormalFormOfIn0(W2,W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTermNF) ).
cnf(38,plain,
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ isTerminating0(X0)
| aNormalFormOfIn0(sK16(X0,X1),X1,X0) ),
inference(cnf,[status(esa)],[mTermNF]) ).
cnf(l2,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(xw)
| ~ isTerminating0(xR)
| aNormalFormOfIn0(sK16(xR,xw),xw,xR) ),
inference(instantiation,[status(thm)],[38]) ).
fof(m__656_01,plain,
( ! [W0,W1,W2] :
( ( aElement0(W0)
& aElement0(W1)
& aElement0(W2)
& aReductOfIn0(W1,W0,xR)
& aReductOfIn0(W2,W0,xR) )
=> ? [W3] :
( aElement0(W3)
& ( W1 = W3
| ( ( aReductOfIn0(W3,W1,xR)
| ? [W4] :
( aElement0(W4)
& aReductOfIn0(W4,W1,xR)
& sdtmndtplgtdt0(W4,xR,W3) ) )
& sdtmndtplgtdt0(W1,xR,W3) ) )
& sdtmndtasgtdt0(W1,xR,W3)
& ( W2 = W3
| ( ( aReductOfIn0(W3,W2,xR)
| ? [W4] :
( aElement0(W4)
& aReductOfIn0(W4,W2,xR)
& sdtmndtplgtdt0(W4,xR,W3) ) )
& sdtmndtplgtdt0(W2,xR,W3) ) )
& sdtmndtasgtdt0(W2,xR,W3) ) )
& isLocallyConfluent0(xR)
& ! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> ( ( aReductOfIn0(W1,W0,xR)
| ? [W2] :
( aElement0(W2)
& aReductOfIn0(W2,W0,xR)
& sdtmndtplgtdt0(W2,xR,W1) )
| sdtmndtplgtdt0(W0,xR,W1) )
=> iLess0(W1,W0) ) )
& isTerminating0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656_01) ).
cnf(55,plain,
isTerminating0(xR),
inference(cnf,[status(esa)],[m__656_01]) ).
cnf(l5,plain,
isTerminating0(xR),
inference(instantiation,[status(thm)],[55]) ).
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]) ).
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(l12,plain,
aElement0(xw),
inference(instantiation,[status(thm)],[102]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l5,l3,l12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : COM018+4 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jul 20 06:09:49 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------