%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV390+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 : n020.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 04:46:50 PM UTC 2025
% Result : Theorem 4.36s 0.87s
% Output : CNFRefutation 4.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 37 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 15 ~; 11 |; 1 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 42 ( 4 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l26_co,plain,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X] : ~ check_cpq(insert_cpq(triple(U,V,W),X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l26_co) ).
fof(l26_co_negated,plain,
~ ! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X] : ~ check_cpq(insert_cpq(triple(U,V,W),X)) ),
inference(negate_conjecture,[status(cth)],[l26_co]) ).
cnf(53,plain,
~ check_cpq(triple(sK3,sK4,sK5)),
inference(cnf,[status(esa)],[l26_co_negated]) ).
cnf(l0,plain,
~ check_cpq(triple(sK3,sK4,sK5)),
inference(instantiation,[status(thm)],[53]) ).
fof(l26_li4142,plain,
! [U,V,W] :
( check_cpq(triple(U,V,W))
<=> ! [X,Y] :
( pair_in_list(V,X,Y)
=> less_than(Y,X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l26_li4142) ).
cnf(52,plain,
( ~ less_than(sK2(X0,X1,X2),sK1(X0,X1,X2))
| check_cpq(triple(X0,X1,X2)) ),
inference(cnf,[status(esa)],[l26_li4142]) ).
cnf(l1,plain,
( ~ less_than(sK2(sK3,sK4,sK5),sK1(sK3,sK4,sK5))
| check_cpq(triple(sK3,sK4,sK5)) ),
inference(instantiation,[status(thm)],[52]) ).
cnf(50,plain,
( ~ pair_in_list(X0,X1,X2)
| ~ check_cpq(triple(X3,X0,X4))
| less_than(X2,X1) ),
inference(cnf,[status(esa)],[l26_li4142]) ).
cnf(l2,plain,
( ~ pair_in_list(insert_slb(sK4,pair(sK6,bottom)),sK1(sK3,sK4,sK5),sK2(sK3,sK4,sK5))
| ~ check_cpq(triple(insert_pqp(sK3,sK6),insert_slb(sK4,pair(sK6,bottom)),sK5))
| less_than(sK2(sK3,sK4,sK5),sK1(sK3,sK4,sK5)) ),
inference(instantiation,[status(thm)],[50]) ).
fof(ax42,plain,
! [U,V,W,X] : insert_cpq(triple(U,V,W),X) = triple(insert_pqp(U,X),insert_slb(V,pair(X,bottom)),W),
file('Axioms/SWV007+3.ax',ax42) ).
cnf(38,plain,
insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
inference(cnf,[status(esa)],[ax42]) ).
cnf(l24,plain,
insert_cpq(triple(sK3,sK4,sK5),sK6) = triple(insert_pqp(sK3,sK6),insert_slb(sK4,pair(sK6,bottom)),sK5),
inference(instantiation,[status(thm)],[38]) ).
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(l11,plain,
( ~ pair_in_list(sK4,sK1(sK3,sK4,sK5),sK2(sK3,sK4,sK5))
| pair_in_list(insert_slb(sK4,pair(sK6,bottom)),sK1(sK3,sK4,sK5),sK2(sK3,sK4,sK5)) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(51,plain,
( pair_in_list(X0,sK1(X1,X0,X2),sK2(X1,X0,X2))
| check_cpq(triple(X1,X0,X2)) ),
inference(cnf,[status(esa)],[l26_li4142]) ).
cnf(l12,plain,
( pair_in_list(sK4,sK1(sK3,sK4,sK5),sK2(sK3,sK4,sK5))
| check_cpq(triple(sK3,sK4,sK5)) ),
inference(instantiation,[status(thm)],[51]) ).
cnf(54,plain,
check_cpq(insert_cpq(triple(sK3,sK4,sK5),sK6)),
inference(cnf,[status(esa)],[l26_co_negated]) ).
cnf(l22,plain,
check_cpq(insert_cpq(triple(sK3,sK4,sK5),sK6)),
inference(instantiation,[status(thm)],[54]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l24,l11,l12,l22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWV390+1 : TPTP v9.0.0. Released v3.3.0.
% 0.05/0.10 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.30 % Computer : n020.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Jul 22 09:08:19 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % launching worker at depth: 1
% 0.10/0.31 % launching worker at depth: 6
% 0.10/0.31 % launching worker at depth: 3
% 0.10/0.31 % launching worker at depth: 8
% 0.10/0.31 % launching worker at depth: 4
% 0.10/0.31 % launching worker at depth: 5
% 0.10/0.31 % launching worker at depth: 7
% 0.10/0.31 % launching worker at depth: 2
% 0.10/0.31 % launching worker at depth: 9
% 0.15/0.32 % launching worker at depth: 10
% 0.15/0.34 % launching worker at depth: 11
% 4.36/0.87 % SZS status Theorem for theBenchmark
% 4.36/0.87 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------