%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWC406+1 : TPTP v9.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n028.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 04:12:06 PM UTC 2025
% Result : Theorem 59.20s 7.81s
% Output : CNFRefutation 59.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 61 ( 12 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 69 ( 23 ~; 20 |; 14 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 17 ( 0 sgn 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,plain,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( V != X
| U != W
| ? [Y] :
( ssItem(Y)
& ( ( ~ memberP(W,Y)
& ! [Z] :
( ssItem(Z)
=> ( ~ memberP(X,Z)
| ~ leq(Z,Y)
| Y = Z ) )
& memberP(X,Y) )
| ( memberP(W,Y)
& ( ~ memberP(X,Y)
| ? [Z] :
( ssItem(Z)
& Y != Z
& memberP(X,Z)
& leq(Z,Y) ) ) ) ) )
| ! [X1] :
( ssItem(X1)
=> ( ~ memberP(U,X1)
| memberP(V,X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(co1_negated,plain,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( V != X
| U != W
| ? [Y] :
( ssItem(Y)
& ( ( ~ memberP(W,Y)
& ! [Z] :
( ssItem(Z)
=> ( ~ memberP(X,Z)
| ~ leq(Z,Y)
| Y = Z ) )
& memberP(X,Y) )
| ( memberP(W,Y)
& ( ~ memberP(X,Y)
| ? [Z] :
( ssItem(Z)
& Y != Z
& memberP(X,Z)
& leq(Z,Y) ) ) ) ) )
| ! [X1] :
( ssItem(X1)
=> ( ~ memberP(U,X1)
| memberP(V,X1) ) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(198,plain,
( ~ ssItem(X0)
| ~ memberP(sK57,X0)
| memberP(sK58,X0) ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l0,plain,
( ~ ssItem(sK60)
| ~ memberP(sK57,sK60)
| memberP(sK58,sK60) ),
inference(instantiation,[status(thm)],[198]) ).
cnf(201,plain,
memberP(sK55,sK60),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l104,plain,
memberP(sK55,sK60),
inference(instantiation,[status(thm)],[201]) ).
cnf(200,plain,
ssItem(sK60),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l1,plain,
ssItem(sK60),
inference(instantiation,[status(thm)],[200]) ).
cnf(193,plain,
sK55 = sK57,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l121,plain,
sK55 = sK57,
inference(instantiation,[status(thm)],[193]) ).
cnf(192,plain,
sK56 = sK58,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l180,plain,
sK56 = sK58,
inference(instantiation,[status(thm)],[192]) ).
cnf(202,plain,
~ memberP(sK56,sK60),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l129,plain,
~ memberP(sK56,sK60),
inference(instantiation,[status(thm)],[202]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l104,l1,l121,l180,l129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC406+1 : TPTP v9.0.0. Released v2.4.0.
% 0.06/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n028.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 : Tue Jul 22 07:43:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.37 % launching worker at depth: 9
% 1.61/0.61 % launching worker at depth: 10
% 59.20/7.81 % SZS status Theorem for theBenchmark
% 59.20/7.81 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------