%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWC185+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 : n023.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 04:11:34 PM UTC 2025
% Result : Theorem 54.69s 7.25s
% Output : CNFRefutation 54.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 24 ( 16 unt; 0 def)
% Number of atoms : 76 ( 18 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 83 ( 31 ~; 28 |; 10 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 14 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,plain,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( V != X
| U != W
| ? [Y] :
( ssItem(Y)
& ? [Z] :
( ssList(Z)
& ? [X1] :
( ssList(X1)
& app(app(Z,cons(Y,nil)),X1) = W
& ( memberP(Z,Y)
| memberP(X1,Y) ) ) ) )
| ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( app(app(X3,cons(X2,nil)),X4) != U
| ( ~ memberP(X3,X2)
& ~ memberP(X4,X2) ) ) ) ) ) ) ) ) ) ),
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)
& ? [Z] :
( ssList(Z)
& ? [X1] :
( ssList(X1)
& app(app(Z,cons(Y,nil)),X1) = W
& ( memberP(Z,Y)
| memberP(X1,Y) ) ) ) )
| ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( app(app(X3,cons(X2,nil)),X4) != U
| ( ~ memberP(X3,X2)
& ~ memberP(X4,X2) ) ) ) ) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(200,plain,
( memberP(sK60,sK59)
| memberP(sK61,sK59) ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l0,plain,
( memberP(sK60,sK59)
| memberP(sK61,sK59) ),
inference(instantiation,[status(thm)],[200]) ).
cnf(194,plain,
( ~ ssItem(X0)
| app(app(X1,cons(X0,nil)),X2) != sK57
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X1,X0) ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l1,plain,
( ~ ssItem(sK59)
| app(app(sK60,cons(sK59,nil)),sK61) != sK57
| ~ ssList(sK60)
| ~ ssList(sK61)
| ~ memberP(sK60,sK59) ),
inference(instantiation,[status(thm)],[194]) ).
cnf(195,plain,
( ~ ssItem(X0)
| app(app(X1,cons(X0,nil)),X2) != sK57
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X2,X0) ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l129,plain,
( ~ ssItem(sK59)
| app(app(sK60,cons(sK59,nil)),sK61) != sK57
| ~ ssList(sK60)
| ~ ssList(sK61)
| ~ memberP(sK61,sK59) ),
inference(instantiation,[status(thm)],[195]) ).
cnf(196,plain,
ssItem(sK59),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l14,plain,
ssItem(sK59),
inference(instantiation,[status(thm)],[196]) ).
cnf(193,plain,
sK55 = sK57,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l9,plain,
sK55 = sK57,
inference(instantiation,[status(thm)],[193]) ).
cnf(197,plain,
ssList(sK60),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l2,plain,
ssList(sK60),
inference(instantiation,[status(thm)],[197]) ).
cnf(199,plain,
app(app(sK60,cons(sK59,nil)),sK61) = sK55,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l10,plain,
app(app(sK60,cons(sK59,nil)),sK61) = sK55,
inference(instantiation,[status(thm)],[199]) ).
cnf(l155,plain,
app(app(sK60,cons(sK59,nil)),sK61) = sK55,
inference(instantiation,[status(thm)],[199]) ).
cnf(l139,plain,
ssList(sK60),
inference(instantiation,[status(thm)],[197]) ).
cnf(198,plain,
ssList(sK61),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l205,plain,
ssList(sK61),
inference(instantiation,[status(thm)],[198]) ).
cnf(l30,plain,
ssList(sK61),
inference(instantiation,[status(thm)],[198]) ).
cnf(l137,plain,
ssItem(sK59),
inference(instantiation,[status(thm)],[196]) ).
cnf(l168,plain,
sK55 = sK57,
inference(instantiation,[status(thm)],[193]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l129,l14,l9,l2,l10,l155,l139,l205,l30,l137,l168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC185+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
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 05:59:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 1
% 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: 4
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.36 % launching worker at depth: 9
% 1.54/0.63 % launching worker at depth: 10
% 54.69/7.25 % SZS status Theorem for theBenchmark
% 54.69/7.25 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------