%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : COM021+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 : n031.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 213.67s 27.16s
% Output : CNFRefutation 213.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 31 unt; 0 def)
% Number of atoms : 105 ( 3 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 100 ( 41 ~; 40 |; 13 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-3 aty)
% Number of variables : 24 ( 1 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
sdtmndtasgtdt0(xb,xR,xd),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(63,plain,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(instantiation,[status(thm)],[63]) ).
fof(m__850,plain,
( aElement0(xx)
& sdtmndtasgtdt0(xb,xR,xx)
& sdtmndtasgtdt0(xd,xR,xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__850) ).
cnf(61,plain,
sdtmndtasgtdt0(xb,xR,xx),
inference(cnf,[status(esa)],[m__850]) ).
cnf(l2,plain,
sdtmndtasgtdt0(xb,xR,xx),
inference(instantiation,[status(thm)],[61]) ).
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(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(xd,xR,xx)
| ~ aElement0(xd)
| ~ aElement0(xx)
| sdtmndtplgtdt0(xd,xR,xx)
| xd = xx ),
inference(instantiation,[status(thm)],[7]) ).
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(l5517,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(xd)
| ~ aElement0(xx)
| ~ sdtmndtplgtdt0(xd,xR,xx)
| aReductOfIn0(xx,xd,xR)
| aReductOfIn0(sK1(xd,xR,xx),xd,xR) ),
inference(instantiation,[status(thm)],[2]) ).
fof(mNFRDef,plain,
! [W0,W1] :
( ( aElement0(W0)
& aRewritingSystem0(W1) )
=> ! [W2] :
( aNormalFormOfIn0(W2,W0,W1)
<=> ( aElement0(W2)
& sdtmndtasgtdt0(W0,W1,W2)
& ~ ? [W3] : aReductOfIn0(W3,W2,W1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNFRDef) ).
cnf(36,plain,
( ~ aReductOfIn0(X0,X1,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aNormalFormOfIn0(X1,X3,X2) ),
inference(cnf,[status(esa)],[mNFRDef]) ).
cnf(l6074,plain,
( ~ aReductOfIn0(sK1(xd,xR,xx),xd,xR)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xw)
| ~ aNormalFormOfIn0(xd,xw,xR) ),
inference(instantiation,[status(thm)],[36]) ).
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(l6165,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[39]) ).
cnf(l6075,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[39]) ).
fof(m__799,plain,
( aElement0(xw)
& sdtmndtasgtdt0(xu,xR,xw)
& sdtmndtasgtdt0(xv,xR,xw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).
cnf(56,plain,
aElement0(xw),
inference(cnf,[status(esa)],[m__799]) ).
cnf(l6102,plain,
aElement0(xw),
inference(instantiation,[status(thm)],[56]) ).
cnf(34,plain,
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aNormalFormOfIn0(X2,X1,X0)
| aElement0(X2) ),
inference(cnf,[status(esa)],[mNFRDef]) ).
cnf(l6079,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(xw)
| ~ aNormalFormOfIn0(xd,xw,xR)
| aElement0(xd) ),
inference(instantiation,[status(thm)],[34]) ).
cnf(l16,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[39]) ).
cnf(62,plain,
sdtmndtasgtdt0(xd,xR,xx),
inference(cnf,[status(esa)],[m__850]) ).
cnf(l11,plain,
sdtmndtasgtdt0(xd,xR,xx),
inference(instantiation,[status(thm)],[62]) ).
cnf(l6206,plain,
aElement0(xw),
inference(instantiation,[status(thm)],[56]) ).
cnf(l6072,plain,
( ~ aReductOfIn0(xx,xd,xR)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xw)
| ~ aNormalFormOfIn0(xd,xw,xR) ),
inference(instantiation,[status(thm)],[36]) ).
fof(m__818,plain,
aNormalFormOfIn0(xd,xw,xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).
cnf(59,plain,
aNormalFormOfIn0(xd,xw,xR),
inference(cnf,[status(esa)],[m__818]) ).
cnf(l6089,plain,
aNormalFormOfIn0(xd,xw,xR),
inference(instantiation,[status(thm)],[59]) ).
cnf(60,plain,
aElement0(xx),
inference(cnf,[status(esa)],[m__850]) ).
cnf(l899,plain,
aElement0(xx),
inference(instantiation,[status(thm)],[60]) ).
cnf(l6078,plain,
aElement0(xw),
inference(instantiation,[status(thm)],[56]) ).
cnf(l6180,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[39]) ).
cnf(l6097,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[39]) ).
cnf(l6178,plain,
aNormalFormOfIn0(xd,xw,xR),
inference(instantiation,[status(thm)],[59]) ).
cnf(l5518,plain,
aElement0(xx),
inference(instantiation,[status(thm)],[60]) ).
cnf(l309,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(xw)
| ~ aNormalFormOfIn0(xd,xw,xR)
| aElement0(xd) ),
inference(instantiation,[status(thm)],[34]) ).
cnf(l310,plain,
aElement0(xw),
inference(instantiation,[status(thm)],[56]) ).
cnf(l6086,plain,
aNormalFormOfIn0(xd,xw,xR),
inference(instantiation,[status(thm)],[59]) ).
cnf(l1824,plain,
aNormalFormOfIn0(xd,xw,xR),
inference(instantiation,[status(thm)],[59]) ).
cnf(l325,plain,
aRewritingSystem0(xR),
inference(instantiation,[status(thm)],[39]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l8,l5517,l6074,l6165,l6075,l6102,l6079,l16,l11,l6206,l6072,l6089,l899,l6078,l6180,l6097,l6178,l5518,l309,l310,l6086,l1824,l325]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM021+1 : TPTP v9.0.0. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n031.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 06:10:19 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 1
% 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: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.19/0.36 % launching worker at depth: 11
% 2.53/0.68 % launching worker at depth: 12
% 36.39/4.90 % launching worker at depth: 13
% 213.67/27.16 % SZS status Theorem for theBenchmark
% 213.67/27.16 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------