%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWC006+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 : n024.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 04:11:07 PM UTC 2025
% Result : Theorem 45.06s 5.99s
% Output : CNFRefutation 45.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 15 unt; 0 def)
% Number of atoms : 57 ( 24 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 61 ( 23 ~; 20 |; 8 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 23 ( 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] :
( ssList(Y)
& ? [Z] :
( ssList(Z)
& ? [X1] :
( ssList(X1)
& app(app(Y,Z),X1) = V
& app(Y,X1) = U ) ) )
| ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| app(app(X2,X3),X4) != X
| app(X2,X4) != W ) ) ) ) ) ) ),
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] :
( ssList(Y)
& ? [Z] :
( ssList(Z)
& ? [X1] :
( ssList(X1)
& app(app(Y,Z),X1) = V
& app(Y,X1) = U ) ) )
| ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| app(app(X2,X3),X4) != X
| app(X2,X4) != W ) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(194,plain,
( app(X0,X1) != sK55
| app(app(X0,X2),X1) != sK56
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l0,plain,
( app(sK59,sK61) != sK55
| app(app(sK59,sK60),sK61) != sK56
| ~ ssList(sK59)
| ~ ssList(sK60)
| ~ ssList(sK61) ),
inference(instantiation,[status(thm)],[194]) ).
cnf(195,plain,
ssList(sK59),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l103,plain,
ssList(sK59),
inference(instantiation,[status(thm)],[195]) ).
cnf(199,plain,
app(sK59,sK61) = sK57,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l3,plain,
app(sK59,sK61) = sK57,
inference(instantiation,[status(thm)],[199]) ).
cnf(197,plain,
ssList(sK61),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l112,plain,
ssList(sK61),
inference(instantiation,[status(thm)],[197]) ).
cnf(192,plain,
sK56 = sK58,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l133,plain,
sK56 = sK58,
inference(instantiation,[status(thm)],[192]) ).
cnf(196,plain,
ssList(sK60),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l109,plain,
ssList(sK60),
inference(instantiation,[status(thm)],[196]) ).
cnf(193,plain,
sK55 = sK57,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l8,plain,
sK55 = sK57,
inference(instantiation,[status(thm)],[193]) ).
cnf(198,plain,
app(app(sK59,sK60),sK61) = sK58,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l113,plain,
app(app(sK59,sK60),sK61) = sK58,
inference(instantiation,[status(thm)],[198]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l103,l3,l112,l133,l109,l8,l113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC006+1 : TPTP v9.0.0. Released v2.4.0.
% 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n024.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 04:41:34 EDT 2025
% 0.19/0.33 % CPUTime :
% 0.19/0.34 % launching worker at depth: 1
% 0.19/0.34 % launching worker at depth: 2
% 0.19/0.34 % launching worker at depth: 3
% 0.19/0.34 % launching worker at depth: 4
% 0.19/0.34 % launching worker at depth: 5
% 0.19/0.34 % launching worker at depth: 7
% 0.19/0.34 % launching worker at depth: 6
% 0.19/0.34 % launching worker at depth: 8
% 0.19/0.35 % launching worker at depth: 9
% 2.02/0.61 % launching worker at depth: 10
% 45.06/5.99 % SZS status Theorem for theBenchmark
% 45.06/5.99 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------