%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV413+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 : n026.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 0.09s 0.31s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 6 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 25 ( 9 ~; 6 |; 7 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l49_co,plain,
! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& strictly_less_than(V,X)
& less_than(X,W) )
=> ? [Y] :
( pair_in_list(update_slb(U,X),V,Y)
& less_than(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l49_co) ).
fof(l49_co_negated,plain,
~ ! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& strictly_less_than(V,X)
& less_than(X,W) )
=> ? [Y] :
( pair_in_list(update_slb(U,X),V,Y)
& less_than(X,Y) ) ),
inference(negate_conjecture,[status(cth)],[l49_co]) ).
cnf(29,plain,
( ~ less_than(sK4,X0)
| ~ pair_in_list(update_slb(sK1,sK4),sK2,X0) ),
inference(cnf,[status(esa)],[l49_co_negated]) ).
cnf(l0,plain,
( ~ less_than(sK4,sK3)
| ~ pair_in_list(update_slb(sK1,sK4),sK2,sK3) ),
inference(instantiation,[status(thm)],[29]) ).
fof(l49_li3637,plain,
! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& less_than(X,W) )
=> pair_in_list(update_slb(U,X),V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l49_li3637) ).
cnf(25,plain,
( ~ less_than(X0,X1)
| ~ pair_in_list(X2,X3,X1)
| pair_in_list(update_slb(X2,X0),X3,X1) ),
inference(cnf,[status(esa)],[l49_li3637]) ).
cnf(l7,plain,
( ~ less_than(sK4,sK3)
| ~ pair_in_list(sK1,sK2,sK3)
| pair_in_list(update_slb(sK1,sK4),sK2,sK3) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(26,plain,
pair_in_list(sK1,sK2,sK3),
inference(cnf,[status(esa)],[l49_co_negated]) ).
cnf(l8,plain,
pair_in_list(sK1,sK2,sK3),
inference(instantiation,[status(thm)],[26]) ).
cnf(28,plain,
less_than(sK4,sK3),
inference(cnf,[status(esa)],[l49_co_negated]) ).
cnf(l9,plain,
less_than(sK4,sK3),
inference(instantiation,[status(thm)],[28]) ).
cnf(l1,plain,
less_than(sK4,sK3),
inference(instantiation,[status(thm)],[28]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l7,l8,l9,l1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : SWV413+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
% 0.09/0.29 % Computer : n026.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Jul 22 09:12:04 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % launching worker at depth: 1
% 0.09/0.29 % launching worker at depth: 2
% 0.09/0.29 % launching worker at depth: 3
% 0.09/0.29 % launching worker at depth: 4
% 0.09/0.29 % launching worker at depth: 5
% 0.09/0.29 % launching worker at depth: 6
% 0.09/0.29 % launching worker at depth: 7
% 0.09/0.29 % launching worker at depth: 8
% 0.09/0.29 % launching worker at depth: 9
% 0.09/0.31 % SZS status Theorem for theBenchmark
% 0.09/0.31 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------