%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWC035+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 : n018.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 04:11:11 PM UTC 2025
% Result : Theorem 45.03s 5.98s
% Output : CNFRefutation 45.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 27 ( 20 unt; 0 def)
% Number of atoms : 58 ( 25 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)
=> ( nil != V
| V != X
| U != W
| X != W
| nil = U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(co1_negated,plain,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( nil != V
| V != X
| U != W
| X != W
| nil = U ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(194,plain,
sK55 = sK57,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l0,plain,
sK55 = sK57,
inference(instantiation,[status(thm)],[194]) ).
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(l10,plain,
( ~ ssList(nil)
| ~ ssList(sK55)
| neq(nil,sK55)
| nil = sK55 ),
inference(instantiation,[status(thm)],[81]) ).
cnf(80,plain,
( ~ neq(X0,X1)
| X0 != X1
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf,[status(esa)],[ax15]) ).
cnf(l50,plain,
( ~ neq(sK58,sK57)
| sK58 != sK57
| ~ ssList(sK58)
| ~ ssList(sK57) ),
inference(instantiation,[status(thm)],[80]) ).
fof(ax17,plain,
ssList(nil),
file('Axioms/SWC001+0.ax',ax17) ).
cnf(83,plain,
ssList(nil),
inference(cnf,[status(esa)],[ax17]) ).
cnf(l14,plain,
ssList(nil),
inference(instantiation,[status(thm)],[83]) ).
cnf(188,plain,
ssList(sK55),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l13,plain,
ssList(sK55),
inference(instantiation,[status(thm)],[188]) ).
cnf(196,plain,
nil != sK55,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l35,plain,
nil != sK55,
inference(instantiation,[status(thm)],[196]) ).
cnf(191,plain,
ssList(sK58),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l57,plain,
ssList(sK58),
inference(instantiation,[status(thm)],[191]) ).
cnf(190,plain,
ssList(sK57),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l70,plain,
ssList(sK57),
inference(instantiation,[status(thm)],[190]) ).
cnf(195,plain,
sK58 = sK57,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l56,plain,
sK58 = sK57,
inference(instantiation,[status(thm)],[195]) ).
cnf(192,plain,
nil = sK56,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l22,plain,
nil = sK56,
inference(instantiation,[status(thm)],[192]) ).
cnf(193,plain,
sK56 = sK58,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l31,plain,
sK56 = sK58,
inference(instantiation,[status(thm)],[193]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l10,l50,l14,l13,l35,l57,l70,l56,l22,l31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC035+1 : TPTP v9.0.0. Released v2.4.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 04:55:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 9
% 0.18/0.53 % launching worker at depth: 10
% 45.03/5.98 % SZS status Theorem for theBenchmark
% 45.03/5.98 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------