%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV373+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 : 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 04:46:48 PM UTC 2025
% Result : Theorem 204.78s 26.04s
% Output : CNFRefutation 204.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 34 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 8 |; 2 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 30 ( 7 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l9_co,plain,
! [U,V,W] :
( ~ contains_cpq(triple(U,V,W),findmin_cpq_res(triple(U,V,W)))
=> ~ ok(findmin_cpq_eff(triple(U,V,W))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l9_co) ).
fof(l9_co_negated,plain,
~ ! [U,V,W] :
( ~ contains_cpq(triple(U,V,W),findmin_cpq_res(triple(U,V,W)))
=> ~ ok(findmin_cpq_eff(triple(U,V,W))) ),
inference(negate_conjecture,[status(cth)],[l9_co]) ).
cnf(53,plain,
~ contains_cpq(triple(sK1,sK2,sK3),findmin_cpq_res(triple(sK1,sK2,sK3))),
inference(cnf,[status(esa)],[l9_co_negated]) ).
cnf(l0,plain,
~ contains_cpq(triple(sK1,sK2,sK3),findmin_cpq_res(triple(sK1,sK2,sK3))),
inference(instantiation,[status(thm)],[53]) ).
fof(ax39,plain,
! [U,V,W,X] :
( contains_cpq(triple(U,V,W),X)
<=> contains_slb(V,X) ),
file('Axioms/SWV007+3.ax',ax39) ).
cnf(35,plain,
( ~ contains_slb(X0,X1)
| contains_cpq(triple(X2,X0,X3),X1) ),
inference(cnf,[status(esa)],[ax39]) ).
cnf(l1,plain,
( ~ contains_slb(sK2,findmin_cpq_res(triple(sK1,sK2,sK3)))
| contains_cpq(triple(sK1,sK2,sK3),findmin_cpq_res(triple(sK1,sK2,sK3))) ),
inference(instantiation,[status(thm)],[35]) ).
fof(l9_l10,plain,
! [U,V,W] :
( ok(findmin_cpq_eff(triple(U,V,W)))
=> ( V != create_slb
& contains_slb(V,findmin_pqp_res(U))
& less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l9_l10) ).
cnf(51,plain,
( ~ ok(findmin_cpq_eff(triple(X0,X1,X2)))
| contains_slb(X1,findmin_pqp_res(X0)) ),
inference(cnf,[status(esa)],[l9_l10]) ).
cnf(l213,plain,
( ~ ok(findmin_cpq_eff(triple(sK1,sK2,sK3)))
| contains_slb(sK2,findmin_pqp_res(sK1)) ),
inference(instantiation,[status(thm)],[51]) ).
cnf(54,plain,
ok(findmin_cpq_eff(triple(sK1,sK2,sK3))),
inference(cnf,[status(esa)],[l9_co_negated]) ).
cnf(l392,plain,
ok(findmin_cpq_eff(triple(sK1,sK2,sK3))),
inference(instantiation,[status(thm)],[54]) ).
fof(ax51,plain,
! [U,V,W,X] :
( V != create_slb
=> findmin_cpq_res(triple(U,V,W)) = findmin_pqp_res(U) ),
file('Axioms/SWV007+3.ax',ax51) ).
cnf(47,plain,
( X0 = create_slb
| findmin_cpq_res(triple(X1,X0,X2)) = findmin_pqp_res(X1) ),
inference(cnf,[status(esa)],[ax51]) ).
cnf(l302,plain,
( sK2 = create_slb
| findmin_cpq_res(triple(sK1,sK2,sK3)) = findmin_pqp_res(sK1) ),
inference(instantiation,[status(thm)],[47]) ).
cnf(50,plain,
( X0 != create_slb
| ~ ok(findmin_cpq_eff(triple(X1,X0,X2))) ),
inference(cnf,[status(esa)],[l9_l10]) ).
cnf(l303,plain,
( sK2 != create_slb
| ~ ok(findmin_cpq_eff(triple(sK1,sK2,sK3))) ),
inference(instantiation,[status(thm)],[50]) ).
cnf(l308,plain,
ok(findmin_cpq_eff(triple(sK1,sK2,sK3))),
inference(instantiation,[status(thm)],[54]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l213,l392,l302,l303,l308]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV373+1 : TPTP v9.0.0. Released v3.3.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Jul 22 09:05:34 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.16/0.31 % launching worker at depth: 1
% 0.16/0.31 % launching worker at depth: 2
% 0.16/0.31 % launching worker at depth: 3
% 0.16/0.31 % launching worker at depth: 4
% 0.16/0.31 % launching worker at depth: 5
% 0.16/0.31 % launching worker at depth: 9
% 0.16/0.31 % launching worker at depth: 6
% 0.16/0.31 % launching worker at depth: 7
% 0.16/0.31 % launching worker at depth: 8
% 0.16/0.32 % launching worker at depth: 10
% 0.16/0.36 % launching worker at depth: 11
% 18.24/2.67 % launching worker at depth: 12
% 204.78/26.04 % SZS status Theorem for theBenchmark
% 204.78/26.04 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------