%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV412+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n025.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 0.13s 0.35s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 19 ( 7 ~; 4 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l48_co,plain,
! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& strictly_less_than(V,X)
& strictly_less_than(W,X) )
=> pair_in_list(update_slb(U,X),V,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l48_co) ).
fof(l48_co_negated,plain,
~ ! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& strictly_less_than(V,X)
& strictly_less_than(W,X) )
=> pair_in_list(update_slb(U,X),V,X) ),
inference(negate_conjecture,[status(cth)],[l48_co]) ).
cnf(26,plain,
pair_in_list(sK1,sK2,sK3),
inference(cnf,[status(esa)],[l48_co_negated]) ).
cnf(l0,plain,
pair_in_list(sK1,sK2,sK3),
inference(instantiation,[status(thm)],[26]) ).
fof(l48_li3839,plain,
! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& strictly_less_than(W,X) )
=> pair_in_list(update_slb(U,X),V,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l48_li3839) ).
cnf(25,plain,
( ~ strictly_less_than(X0,X1)
| ~ pair_in_list(X2,X3,X0)
| pair_in_list(update_slb(X2,X1),X3,X1) ),
inference(cnf,[status(esa)],[l48_li3839]) ).
cnf(l1,plain,
( ~ strictly_less_than(sK3,sK4)
| ~ pair_in_list(sK1,sK2,sK3)
| pair_in_list(update_slb(sK1,sK4),sK2,sK4) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(28,plain,
strictly_less_than(sK3,sK4),
inference(cnf,[status(esa)],[l48_co_negated]) ).
cnf(l2,plain,
strictly_less_than(sK3,sK4),
inference(instantiation,[status(thm)],[28]) ).
cnf(29,plain,
~ pair_in_list(update_slb(sK1,sK4),sK2,sK4),
inference(cnf,[status(esa)],[l48_co_negated]) ).
cnf(l5,plain,
~ pair_in_list(update_slb(sK1,sK4),sK2,sK4),
inference(instantiation,[status(thm)],[29]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV412+1 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 09:11:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------