%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWC189+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 : n029.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 0.19s 0.53s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 15 unt; 0 def)
% Number of atoms : 63 ( 22 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 65 ( 21 ~; 18 |; 10 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 16 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,plain,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( V != X
| U != W
| ? [Y] :
( ssItem(Y)
& ? [Z] :
( ssItem(Z)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& Y != Z
& app(app(app(X1,cons(Y,nil)),cons(Z,nil)),X2) = W ) ) ) )
| ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(app(X5,cons(X3,nil)),cons(X4,nil)),X6) != U
| X3 = X4 ) ) ) ) ) ) ) ) ) ),
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] :
( ssItem(Z)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& Y != Z
& app(app(app(X1,cons(Y,nil)),cons(Z,nil)),X2) = W ) ) ) )
| ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(app(X5,cons(X3,nil)),cons(X4,nil)),X6) != U
| X3 = X4 ) ) ) ) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(194,plain,
( ~ ssItem(X0)
| ~ ssItem(X1)
| app(app(app(X2,cons(X0,nil)),cons(X1,nil)),X3) != sK57
| ~ ssList(X2)
| ~ ssList(X3)
| X0 = X1 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l0,plain,
( ~ ssItem(sK59)
| ~ ssItem(sK60)
| app(app(app(sK61,cons(sK59,nil)),cons(sK60,nil)),sK62) != sK57
| ~ ssList(sK61)
| ~ ssList(sK62)
| sK59 = sK60 ),
inference(instantiation,[status(thm)],[194]) ).
cnf(199,plain,
app(app(app(sK61,cons(sK59,nil)),cons(sK60,nil)),sK62) = sK55,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l35,plain,
app(app(app(sK61,cons(sK59,nil)),cons(sK60,nil)),sK62) = sK55,
inference(instantiation,[status(thm)],[199]) ).
cnf(197,plain,
ssList(sK61),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l18,plain,
ssList(sK61),
inference(instantiation,[status(thm)],[197]) ).
cnf(198,plain,
ssList(sK62),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l21,plain,
ssList(sK62),
inference(instantiation,[status(thm)],[198]) ).
cnf(196,plain,
ssItem(sK60),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l19,plain,
ssItem(sK60),
inference(instantiation,[status(thm)],[196]) ).
cnf(195,plain,
ssItem(sK59),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l1,plain,
ssItem(sK59),
inference(instantiation,[status(thm)],[195]) ).
cnf(193,plain,
sK55 = sK57,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l37,plain,
sK55 = sK57,
inference(instantiation,[status(thm)],[193]) ).
cnf(200,plain,
sK59 != sK60,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l12,plain,
sK59 != sK60,
inference(instantiation,[status(thm)],[200]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l35,l18,l21,l19,l1,l37,l12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC189+1 : TPTP v9.0.0. Released v2.4.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 22 06:01:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------