%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM540+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 : n022.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 : Fri Jul 25 12:28:26 PM UTC 2025
% Result : Theorem 49.24s 6.48s
% Output : CNFRefutation 49.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 49 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 49 ( 23 ~; 18 |; 3 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 1 sgn 5 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
slbdtrb0(sz00) != slcrc0,
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(91,plain,
slbdtrb0(sz00) != slcrc0,
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
slbdtrb0(sz00) != slcrc0,
inference(instantiation,[status(thm)],[91]) ).
fof(mDefSeg,plain,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( W1 = slbdtrb0(W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
<=> ( aElementOf0(W2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSeg) ).
cnf(85,plain,
( ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| X0 = slbdtrb0(X1)
| aElementOf0(sK9(X1,X0),X0)
| sP2(X0,X1) ),
inference(cnf,[status(esa)],[mDefSeg]) ).
cnf(l2,plain,
( ~ aSet0(slcrc0)
| ~ aElementOf0(sz00,szNzAzT0)
| slcrc0 = slbdtrb0(sz00)
| aElementOf0(sK9(sz00,slcrc0),slcrc0)
| sP2(slcrc0,sz00) ),
inference(instantiation,[status(thm)],[85]) ).
fof(mDefEmp,plain,
! [W0] :
( W0 = slcrc0
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
cnf(1,plain,
( X0 != slcrc0
| aSet0(X0) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
cnf(l395,plain,
( slcrc0 != slcrc0
| aSet0(slcrc0) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
( X0 != slcrc0
| ~ aElementOf0(X1,X0) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
cnf(l412,plain,
( slcrc0 != slcrc0
| ~ aElementOf0(sK9(sz00,slcrc0),slcrc0) ),
inference(instantiation,[status(thm)],[2]) ).
fof(mZeroNum,plain,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
cnf(45,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf,[status(esa)],[mZeroNum]) ).
cnf(l400,plain,
aElementOf0(sz00,szNzAzT0),
inference(instantiation,[status(thm)],[45]) ).
cnf(89,plain,
( aElementOf0(sK9(X0,X1),szNzAzT0)
| ~ sP2(X1,X0) ),
inference(cnf,[status(esa)],[mDefSeg]) ).
cnf(l425,plain,
( aElementOf0(sK9(sz00,slcrc0),szNzAzT0)
| ~ sP2(slcrc0,sz00) ),
inference(instantiation,[status(thm)],[89]) ).
fof(mNoScLessZr,plain,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNoScLessZr) ).
cnf(53,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
inference(cnf,[status(esa)],[mNoScLessZr]) ).
cnf(l530,plain,
( ~ aElementOf0(sK9(sz00,slcrc0),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(sK9(sz00,slcrc0)),sz00) ),
inference(instantiation,[status(thm)],[53]) ).
cnf(88,plain,
( sdtlseqdt0(szszuzczcdt0(sK9(X0,X1)),X0)
| ~ sP2(X1,X0) ),
inference(cnf,[status(esa)],[mDefSeg]) ).
cnf(l756,plain,
( sdtlseqdt0(szszuzczcdt0(sK9(sz00,slcrc0)),sz00)
| ~ sP2(slcrc0,sz00) ),
inference(instantiation,[status(thm)],[88]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l395,l412,l400,l425,l530,l756]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM540+1 : 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
% 0.12/0.31 % Computer : n022.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Mon Jul 21 12:44:49 EDT 2025
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % launching worker at depth: 1
% 0.16/0.32 % launching worker at depth: 7
% 0.16/0.32 % launching worker at depth: 2
% 0.16/0.32 % launching worker at depth: 3
% 0.16/0.32 % launching worker at depth: 4
% 0.16/0.32 % launching worker at depth: 6
% 0.16/0.32 % launching worker at depth: 8
% 0.16/0.32 % launching worker at depth: 5
% 0.16/0.32 % launching worker at depth: 9
% 0.16/0.32 % launching worker at depth: 10
% 0.16/0.38 % launching worker at depth: 11
% 6.69/1.22 % launching worker at depth: 12
% 49.24/6.48 % SZS status Theorem for theBenchmark
% 49.24/6.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------