%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWC040+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 : 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 04:11:12 PM UTC 2025
% Result : Theorem 69.36s 9.00s
% Output : CNFRefutation 69.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 18 unt; 0 def)
% Number of atoms : 73 ( 47 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 75 ( 27 ~; 26 |; 7 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,plain,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( nil != V
| V != X
| U != W
| nil = U
| ( nil != W
& nil = X )
| ( ! [Y] :
( ssItem(Y)
=> ! [Z] :
( ssList(Z)
=> ( app(cons(Y,nil),Z) != W
| app(Z,cons(Y,nil)) != X ) ) )
& neq(X,nil) ) ) ) ) ) ),
file('/export/starexec/sandbox2/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
| nil = U
| ( nil != W
& nil = X )
| ( ! [Y] :
( ssItem(Y)
=> ! [Z] :
( ssList(Z)
=> ( app(cons(Y,nil),Z) != W
| app(Z,cons(Y,nil)) != X ) ) )
& neq(X,nil) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(196,plain,
( nil != sK58
| nil = sK57 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l0,plain,
( nil != sK58
| nil = sK57 ),
inference(instantiation,[status(thm)],[196]) ).
fof(ax77,plain,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( nil != V
& nil != U
& hd(V) = hd(U)
& tl(V) = tl(U) )
=> V = U ) ) ),
file('Axioms/SWC001+0.ax',ax77) ).
cnf(165,plain,
( tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| nil = X1
| nil = X0 ),
inference(cnf,[status(esa)],[ax77]) ).
cnf(l1,plain,
( tl(sK56) != tl(sK58)
| hd(sK56) != hd(sK58)
| ~ ssList(sK58)
| ~ ssList(sK56)
| sK56 = sK58
| nil = sK58
| nil = sK56 ),
inference(instantiation,[status(thm)],[165]) ).
cnf(193,plain,
sK56 = sK58,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l35,plain,
sK56 = sK58,
inference(instantiation,[status(thm)],[193]) ).
fof(ax17,plain,
ssList(nil),
file('Axioms/SWC001+0.ax',ax17) ).
cnf(83,plain,
ssList(nil),
inference(cnf,[status(esa)],[ax17]) ).
cnf(l22,plain,
ssList(nil),
inference(instantiation,[status(thm)],[83]) ).
cnf(192,plain,
nil = sK56,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l21,plain,
nil = sK56,
inference(instantiation,[status(thm)],[192]) ).
cnf(l8,plain,
sK56 = sK58,
inference(instantiation,[status(thm)],[193]) ).
cnf(l27,plain,
nil = sK56,
inference(instantiation,[status(thm)],[192]) ).
cnf(189,plain,
ssList(sK56),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l11,plain,
ssList(sK56),
inference(instantiation,[status(thm)],[189]) ).
cnf(l12,plain,
sK56 = sK58,
inference(instantiation,[status(thm)],[193]) ).
cnf(l45,plain,
sK56 = sK58,
inference(instantiation,[status(thm)],[193]) ).
cnf(195,plain,
nil != sK55,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l174,plain,
nil != sK55,
inference(instantiation,[status(thm)],[195]) ).
cnf(194,plain,
sK55 = sK57,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l186,plain,
sK55 = sK57,
inference(instantiation,[status(thm)],[194]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l35,l22,l21,l8,l27,l11,l12,l45,l174,l186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWC040+1 : TPTP v9.0.0. Released v2.4.0.
% 0.00/0.08 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.27 % Computer : n024.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Tue Jul 22 04:57:19 EDT 2025
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % launching worker at depth: 1
% 0.08/0.28 % launching worker at depth: 3
% 0.08/0.28 % launching worker at depth: 4
% 0.08/0.28 % launching worker at depth: 5
% 0.08/0.28 % launching worker at depth: 6
% 0.08/0.28 % launching worker at depth: 2
% 0.08/0.28 % launching worker at depth: 7
% 0.08/0.28 % launching worker at depth: 8
% 0.08/0.30 % launching worker at depth: 9
% 0.12/0.49 % launching worker at depth: 10
% 69.36/9.00 % SZS status Theorem for theBenchmark
% 69.36/9.00 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------