%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV405+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 : n027.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 04:46:51 PM UTC 2025
% Result : Theorem 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 9 |; 0 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-3 aty)
% Number of variables : 18 ( 4 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l41_co,plain,
! [U,V] :
( check_cpq(triple(U,create_slb,V))
<=> ! [W,X] :
( pair_in_list(create_slb,W,X)
=> less_than(X,W) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l41_co) ).
fof(l41_co_negated,plain,
~ ! [U,V] :
( check_cpq(triple(U,create_slb,V))
<=> ! [W,X] :
( pair_in_list(create_slb,W,X)
=> less_than(X,W) ) ),
inference(negate_conjecture,[status(cth)],[l41_co]) ).
cnf(50,plain,
( ~ pair_in_list(create_slb,X0,X1)
| less_than(X1,X0)
| check_cpq(triple(sK1,create_slb,sK2)) ),
inference(cnf,[status(esa)],[l41_co_negated]) ).
cnf(l0,plain,
( ~ pair_in_list(create_slb,sK3,sK4)
| less_than(sK4,sK3)
| check_cpq(triple(sK1,create_slb,sK2)) ),
inference(instantiation,[status(thm)],[50]) ).
cnf(51,plain,
( ~ check_cpq(triple(sK1,create_slb,sK2))
| pair_in_list(create_slb,sK3,sK4) ),
inference(cnf,[status(esa)],[l41_co_negated]) ).
cnf(l3,plain,
( ~ check_cpq(triple(sK1,create_slb,sK2))
| pair_in_list(create_slb,sK3,sK4) ),
inference(instantiation,[status(thm)],[51]) ).
cnf(l2,plain,
( ~ check_cpq(triple(sK1,create_slb,sK2))
| pair_in_list(create_slb,sK3,sK4) ),
inference(instantiation,[status(thm)],[51]) ).
fof(ax36,plain,
! [U,V] : check_cpq(triple(U,create_slb,V)),
file('Axioms/SWV007+3.ax',ax36) ).
cnf(30,plain,
check_cpq(triple(X0,create_slb,X1)),
inference(cnf,[status(esa)],[ax36]) ).
cnf(l4,plain,
check_cpq(triple(sK1,create_slb,sK2)),
inference(instantiation,[status(thm)],[30]) ).
cnf(52,plain,
( ~ less_than(sK4,sK3)
| ~ check_cpq(triple(sK1,create_slb,sK2)) ),
inference(cnf,[status(esa)],[l41_co_negated]) ).
cnf(l1,plain,
( ~ less_than(sK4,sK3)
| ~ check_cpq(triple(sK1,create_slb,sK2)) ),
inference(instantiation,[status(thm)],[52]) ).
fof(ax22,plain,
! [U,V] : ~ pair_in_list(create_slb,U,V),
file('Axioms/SWV007+2.ax',ax22) ).
cnf(13,plain,
~ pair_in_list(create_slb,X0,X1),
inference(cnf,[status(esa)],[ax22]) ).
cnf(l5,plain,
~ pair_in_list(create_slb,sK3,sK4),
inference(instantiation,[status(thm)],[13]) ).
cnf(l6,plain,
check_cpq(triple(sK1,create_slb,sK2)),
inference(instantiation,[status(thm)],[30]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l2,l4,l1,l5,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV405+1 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n027.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 22 09:10:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % SZS status Theorem for theBenchmark
% 0.13/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------