%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWC405+1 : TPTP v9.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 04:12:05 PM UTC 2025
% Result : Theorem 53.36s 7.05s
% Output : CNFRefutation 53.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 28 ( 19 unt; 0 def)
% Number of atoms : 81 ( 8 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 86 ( 33 ~; 33 |; 6 &)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 13 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,plain,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( V != X
| U != W
| ? [Y] :
( ssItem(Y)
& ( ( ~ memberP(X,Y)
& memberP(W,Y) )
| ( ~ memberP(W,Y)
& memberP(X,Y) ) ) )
| ! [Z] :
( ssItem(Z)
=> ( ~ memberP(U,Z)
| memberP(V,Z) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/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(X,Y)
& memberP(W,Y) )
| ( ~ memberP(W,Y)
& memberP(X,Y) ) ) )
| ! [Z] :
( ssItem(Z)
=> ( ~ memberP(U,Z)
| memberP(V,Z) ) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(194,plain,
( ~ ssItem(X0)
| ~ memberP(sK57,X0)
| memberP(sK58,X0) ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l0,plain,
( ~ ssItem(sK59)
| ~ memberP(sK57,sK59)
| memberP(sK58,sK59) ),
inference(instantiation,[status(thm)],[194]) ).
fof(ax36,plain,
! [U] :
( ssItem(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ( memberP(app(V,W),U)
<=> ( memberP(V,U)
| memberP(W,U) ) ) ) ) ),
file('Axioms/SWC001+0.ax',ax36) ).
cnf(107,plain,
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(app(X1,X2),X0)
| memberP(X1,X0)
| memberP(X2,X0) ),
inference(cnf,[status(esa)],[ax36]) ).
cnf(l105,plain,
( ~ ssItem(sK59)
| ~ ssList(sK55)
| ~ ssList(sK57)
| ~ memberP(app(sK55,sK57),sK59)
| memberP(sK55,sK59)
| memberP(sK57,sK59) ),
inference(instantiation,[status(thm)],[107]) ).
cnf(190,plain,
ssList(sK57),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l106,plain,
ssList(sK57),
inference(instantiation,[status(thm)],[190]) ).
cnf(108,plain,
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X1,X0)
| memberP(app(X1,X2),X0) ),
inference(cnf,[status(esa)],[ax36]) ).
cnf(l111,plain,
( ~ ssItem(sK59)
| ~ ssList(sK55)
| ~ ssList(sK57)
| ~ memberP(sK55,sK59)
| memberP(app(sK55,sK57),sK59) ),
inference(instantiation,[status(thm)],[108]) ).
cnf(196,plain,
ssItem(sK59),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l107,plain,
ssItem(sK59),
inference(instantiation,[status(thm)],[196]) ).
cnf(l121,plain,
ssItem(sK59),
inference(instantiation,[status(thm)],[196]) ).
cnf(197,plain,
memberP(sK55,sK59),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l125,plain,
memberP(sK55,sK59),
inference(instantiation,[status(thm)],[197]) ).
cnf(188,plain,
ssList(sK55),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l108,plain,
ssList(sK55),
inference(instantiation,[status(thm)],[188]) ).
cnf(l116,plain,
ssList(sK55),
inference(instantiation,[status(thm)],[188]) ).
cnf(l1,plain,
ssItem(sK59),
inference(instantiation,[status(thm)],[196]) ).
cnf(l124,plain,
ssList(sK57),
inference(instantiation,[status(thm)],[190]) ).
cnf(193,plain,
sK55 = sK57,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l139,plain,
sK55 = sK57,
inference(instantiation,[status(thm)],[193]) ).
cnf(192,plain,
sK56 = sK58,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l126,plain,
sK56 = sK58,
inference(instantiation,[status(thm)],[192]) ).
cnf(198,plain,
~ memberP(sK56,sK59),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l119,plain,
~ memberP(sK56,sK59),
inference(instantiation,[status(thm)],[198]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l105,l106,l111,l107,l121,l125,l108,l116,l1,l124,l139,l126,l119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC405+1 : TPTP v9.0.0. Released v2.4.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 22 07:43:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.36 % launching worker at depth: 9
% 2.09/0.59 % launching worker at depth: 10
% 53.36/7.05 % SZS status Theorem for theBenchmark
% 53.36/7.05 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------