%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWC203+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 : n019.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 04:11:36 PM UTC 2025
% Result : Theorem 52.90s 7.01s
% Output : CNFRefutation 52.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 24 ( 17 unt; 0 def)
% Number of atoms : 55 ( 17 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 55 ( 24 ~; 20 |; 0 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,plain,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( V != X
| U != W
| X != W
| ~ neq(V,nil)
| neq(U,nil) ) ) ) ) ),
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
| X != W
| ~ neq(V,nil)
| neq(U,nil) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(188,plain,
ssList(sK55),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l0,plain,
ssList(sK55),
inference(instantiation,[status(thm)],[188]) ).
fof(ax15,plain,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( neq(U,V)
<=> U != V ) ) ),
file('Axioms/SWC001+0.ax',ax15) ).
cnf(81,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X0,X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[ax15]) ).
cnf(l1,plain,
( ~ ssList(sK55)
| ~ ssList(sK56)
| neq(sK55,sK56)
| sK55 = sK56 ),
inference(instantiation,[status(thm)],[81]) ).
cnf(189,plain,
ssList(sK56),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l2,plain,
ssList(sK56),
inference(instantiation,[status(thm)],[189]) ).
cnf(80,plain,
( ~ neq(X0,X1)
| X0 != X1
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf,[status(esa)],[ax15]) ).
cnf(l83,plain,
( ~ neq(sK55,sK57)
| sK55 != sK57
| ~ ssList(sK55)
| ~ ssList(sK57) ),
inference(instantiation,[status(thm)],[80]) ).
cnf(193,plain,
sK55 = sK57,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l86,plain,
sK55 = sK57,
inference(instantiation,[status(thm)],[193]) ).
cnf(190,plain,
ssList(sK57),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l84,plain,
ssList(sK57),
inference(instantiation,[status(thm)],[190]) ).
cnf(194,plain,
sK58 = sK57,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l23,plain,
sK58 = sK57,
inference(instantiation,[status(thm)],[194]) ).
cnf(192,plain,
sK56 = sK58,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l22,plain,
sK56 = sK58,
inference(instantiation,[status(thm)],[192]) ).
cnf(195,plain,
neq(sK56,nil),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l148,plain,
neq(sK56,nil),
inference(instantiation,[status(thm)],[195]) ).
cnf(196,plain,
~ neq(sK55,nil),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l149,plain,
~ neq(sK55,nil),
inference(instantiation,[status(thm)],[196]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l83,l86,l84,l23,l22,l148,l149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC203+1 : TPTP v9.0.0. Released v2.4.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n019.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 06:08:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 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: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 8
% 0.19/0.37 % launching worker at depth: 9
% 0.19/0.50 % launching worker at depth: 10
% 37.08/5.00 % launching worker at depth: 11
% 52.90/7.01 % SZS status Theorem for theBenchmark
% 52.90/7.01 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------