%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV411+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n023.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 04:46:52 PM UTC 2025
% Result : Theorem 0.14s 0.34s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 41 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 37 ( 14 ~; 14 |; 1 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 39 ( 5 sgn 19 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l47_co,plain,
! [U] :
( ! [V] :
( contains_slb(U,V)
=> ? [W] : pair_in_list(U,V,W) )
=> ! [X,Y,Z] :
( contains_slb(insert_slb(U,pair(Y,Z)),X)
=> ? [X1] : pair_in_list(insert_slb(U,pair(Y,Z)),X,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l47_co) ).
fof(l47_co_negated,plain,
~ ! [U] :
( ! [V] :
( contains_slb(U,V)
=> ? [W] : pair_in_list(U,V,W) )
=> ! [X,Y,Z] :
( contains_slb(insert_slb(U,pair(Y,Z)),X)
=> ? [X1] : pair_in_list(insert_slb(U,pair(Y,Z)),X,X1) ) ),
inference(negate_conjecture,[status(cth)],[l47_co]) ).
cnf(25,plain,
( ~ contains_slb(sK1,X0)
| pair_in_list(sK1,X0,sK2(X0)) ),
inference(cnf,[status(esa)],[l47_co_negated]) ).
cnf(l0,plain,
( ~ contains_slb(sK1,sK3)
| pair_in_list(sK1,sK3,sK2(sK3)) ),
inference(instantiation,[status(thm)],[25]) ).
fof(ax23,plain,
! [U,V,W,X,Y] :
( pair_in_list(insert_slb(U,pair(V,X)),W,Y)
<=> ( pair_in_list(U,W,Y)
| ( V = W
& X = Y ) ) ),
file('Axioms/SWV007+2.ax',ax23) ).
cnf(16,plain,
( ~ pair_in_list(X0,X1,X2)
| pair_in_list(insert_slb(X0,pair(X3,X4)),X1,X2) ),
inference(cnf,[status(esa)],[ax23]) ).
cnf(l2,plain,
( ~ pair_in_list(sK1,sK3,sK2(sK3))
| pair_in_list(insert_slb(sK1,pair(sK4,sK5)),sK3,sK2(sK3)) ),
inference(instantiation,[status(thm)],[16]) ).
fof(ax21,plain,
! [U,V,W,X] :
( contains_slb(insert_slb(U,pair(V,X)),W)
<=> ( contains_slb(U,W)
| V = W ) ),
file('Axioms/SWV007+2.ax',ax21) ).
cnf(10,plain,
( ~ contains_slb(insert_slb(X0,pair(X1,X2)),X3)
| contains_slb(X0,X3)
| X1 = X3 ),
inference(cnf,[status(esa)],[ax21]) ).
cnf(l1,plain,
( ~ contains_slb(insert_slb(sK1,pair(sK4,sK5)),sK3)
| contains_slb(sK1,sK3)
| sK4 = sK3 ),
inference(instantiation,[status(thm)],[10]) ).
cnf(17,plain,
( X0 != X1
| X2 != X3
| pair_in_list(insert_slb(X4,pair(X0,X2)),X1,X3) ),
inference(cnf,[status(esa)],[ax23]) ).
cnf(l4,plain,
( sK4 != sK3
| sK5 != sK5
| pair_in_list(insert_slb(sK1,pair(sK4,sK5)),sK3,sK5) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(27,plain,
~ pair_in_list(insert_slb(sK1,pair(sK4,sK5)),sK3,X0),
inference(cnf,[status(esa)],[l47_co_negated]) ).
cnf(l7,plain,
~ pair_in_list(insert_slb(sK1,pair(sK4,sK5)),sK3,sK5),
inference(instantiation,[status(thm)],[27]) ).
cnf(26,plain,
contains_slb(insert_slb(sK1,pair(sK4,sK5)),sK3),
inference(cnf,[status(esa)],[l47_co_negated]) ).
cnf(l3,plain,
contains_slb(insert_slb(sK1,pair(sK4,sK5)),sK3),
inference(instantiation,[status(thm)],[26]) ).
cnf(l6,plain,
~ pair_in_list(insert_slb(sK1,pair(sK4,sK5)),sK3,sK2(sK3)),
inference(instantiation,[status(thm)],[27]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l1,l4,l7,l3,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SWV411+1 : TPTP v9.0.0. Released v3.3.0.
% 0.04/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.29 % Computer : n023.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue Jul 22 09:11:19 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % launching worker at depth: 3
% 0.08/0.29 % launching worker at depth: 1
% 0.08/0.29 % launching worker at depth: 4
% 0.08/0.29 % launching worker at depth: 5
% 0.08/0.29 % launching worker at depth: 2
% 0.08/0.29 % launching worker at depth: 6
% 0.08/0.29 % launching worker at depth: 7
% 0.08/0.29 % launching worker at depth: 8
% 0.08/0.30 % launching worker at depth: 9
% 0.08/0.30 % launching worker at depth: 10
% 0.14/0.34 % SZS status Theorem for theBenchmark
% 0.14/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------