%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV371+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 : n017.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 04:46:47 PM UTC 2025
% Result : Theorem 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 11 ~; 8 |; 1 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 22 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l7_co,plain,
! [U,V,W] :
( phi(findmin_cpq_eff(triple(U,V,W)))
=> pi_sharp_find_min(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_co) ).
fof(l7_co_negated,plain,
~ ! [U,V,W] :
( phi(findmin_cpq_eff(triple(U,V,W)))
=> pi_sharp_find_min(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W))) ),
inference(negate_conjecture,[status(cth)],[l7_co]) ).
cnf(88,plain,
phi(findmin_cpq_eff(triple(sK8,sK9,sK10))),
inference(cnf,[status(esa)],[l7_co_negated]) ).
cnf(l0,plain,
phi(findmin_cpq_eff(triple(sK8,sK9,sK10))),
inference(instantiation,[status(thm)],[88]) ).
fof(l7_l8,plain,
! [U,V,W] :
( phi(findmin_cpq_eff(triple(U,V,W)))
=> contains_pq(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_l8) ).
cnf(86,plain,
( ~ phi(findmin_cpq_eff(triple(X0,X1,X2)))
| contains_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))) ),
inference(cnf,[status(esa)],[l7_l8]) ).
cnf(l1,plain,
( ~ phi(findmin_cpq_eff(triple(sK8,sK9,sK10)))
| contains_pq(i(triple(sK8,sK9,sK10)),findmin_cpq_res(triple(sK8,sK9,sK10))) ),
inference(instantiation,[status(thm)],[86]) ).
fof(ax58,plain,
! [U,V] :
( pi_sharp_find_min(U,V)
<=> ( contains_pq(U,V)
& issmallestelement_pq(U,V) ) ),
file('Axioms/SWV007+4.ax',ax58) ).
cnf(74,plain,
( ~ contains_pq(X0,X1)
| ~ issmallestelement_pq(X0,X1)
| pi_sharp_find_min(X0,X1) ),
inference(cnf,[status(esa)],[ax58]) ).
cnf(l2,plain,
( ~ contains_pq(i(triple(sK8,sK9,sK10)),findmin_cpq_res(triple(sK8,sK9,sK10)))
| ~ issmallestelement_pq(i(triple(sK8,sK9,sK10)),findmin_cpq_res(triple(sK8,sK9,sK10)))
| pi_sharp_find_min(i(triple(sK8,sK9,sK10)),findmin_cpq_res(triple(sK8,sK9,sK10))) ),
inference(instantiation,[status(thm)],[74]) ).
fof(l7_lX,plain,
! [U,V,W] :
( phi(findmin_cpq_eff(triple(U,V,W)))
=> issmallestelement_pq(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_lX) ).
cnf(87,plain,
( ~ phi(findmin_cpq_eff(triple(X0,X1,X2)))
| issmallestelement_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))) ),
inference(cnf,[status(esa)],[l7_lX]) ).
cnf(l3,plain,
( ~ phi(findmin_cpq_eff(triple(sK8,sK9,sK10)))
| issmallestelement_pq(i(triple(sK8,sK9,sK10)),findmin_cpq_res(triple(sK8,sK9,sK10))) ),
inference(instantiation,[status(thm)],[87]) ).
cnf(89,plain,
~ pi_sharp_find_min(i(triple(sK8,sK9,sK10)),findmin_cpq_res(triple(sK8,sK9,sK10))),
inference(cnf,[status(esa)],[l7_co_negated]) ).
cnf(l6,plain,
~ pi_sharp_find_min(i(triple(sK8,sK9,sK10)),findmin_cpq_res(triple(sK8,sK9,sK10))),
inference(instantiation,[status(thm)],[89]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV371+1 : TPTP v9.0.0. Released v3.3.0.
% 0.08/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 22 09:05:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.36 % SZS status Theorem for theBenchmark
% 0.12/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------