%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV381+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 : n028.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 14.75s 2.16s
% Output : CNFRefutation 14.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 47 ( 20 ~; 18 |; 2 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 37 ( 0 sgn 20 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l17_co,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/sandbox/benchmark/theBenchmark.p',l17_co) ).
fof(l17_co_negated,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))) ),
inference(negate_conjecture,[status(cth)],[l17_co]) ).
cnf(89,plain,
phi(findmin_cpq_eff(triple(sK8,sK9,sK10))),
inference(cnf,[status(esa)],[l17_co_negated]) ).
cnf(l0,plain,
phi(findmin_cpq_eff(triple(sK8,sK9,sK10))),
inference(instantiation,[status(thm)],[89]) ).
fof(l17_l18,plain,
! [U,V,W] :
( ? [X] :
( contains_cpq(triple(U,V,W),X)
& strictly_less_than(X,findmin_cpq_res(triple(U,V,W))) )
=> ~ phi(findmin_cpq_eff(triple(U,V,W))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l17_l18) ).
cnf(88,plain,
( ~ strictly_less_than(X0,findmin_cpq_res(triple(X1,X2,X3)))
| ~ phi(findmin_cpq_eff(triple(X1,X2,X3)))
| ~ contains_cpq(triple(X1,X2,X3),X0) ),
inference(cnf,[status(esa)],[l17_l18]) ).
cnf(l1,plain,
( ~ strictly_less_than(sK1(i(triple(sK8,sK9,sK10)),findmin_cpq_res(triple(sK8,sK9,sK10))),findmin_cpq_res(triple(sK8,sK9,sK10)))
| ~ phi(findmin_cpq_eff(triple(sK8,sK9,sK10)))
| ~ contains_cpq(triple(sK8,sK9,sK10),sK1(i(triple(sK8,sK9,sK10)),findmin_cpq_res(triple(sK8,sK9,sK10)))) ),
inference(instantiation,[status(thm)],[88]) ).
fof(l17_li56,plain,
! [U,V,W,X] :
( contains_cpq(triple(U,V,W),X)
<=> contains_pq(i(triple(U,V,W)),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l17_li56) ).
cnf(87,plain,
( ~ contains_pq(i(triple(X0,X1,X2)),X3)
| contains_cpq(triple(X0,X1,X2),X3) ),
inference(cnf,[status(esa)],[l17_li56]) ).
cnf(l45,plain,
( ~ contains_pq(i(triple(sK8,sK9,sK10)),sK1(i(triple(sK8,sK9,sK10)),findmin_cpq_res(triple(sK8,sK9,sK10))))
| contains_cpq(triple(sK8,sK9,sK10),sK1(i(triple(sK8,sK9,sK10)),findmin_cpq_res(triple(sK8,sK9,sK10)))) ),
inference(instantiation,[status(thm)],[87]) ).
fof(stricly_smaller_definition,plain,
! [U,V] :
( strictly_less_than(U,V)
<=> ( less_than(U,V)
& ~ less_than(V,U) ) ),
file('Axioms/SWV007+0.ax',stricly_smaller_definition) ).
cnf(5,plain,
( ~ less_than(X0,X1)
| strictly_less_than(X0,X1)
| less_than(X1,X0) ),
inference(cnf,[status(esa)],[stricly_smaller_definition]) ).
cnf(l46,plain,
( ~ less_than(sK1(i(triple(sK8,sK9,sK10)),findmin_cpq_res(triple(sK8,sK9,sK10))),findmin_cpq_res(triple(sK8,sK9,sK10)))
| strictly_less_than(sK1(i(triple(sK8,sK9,sK10)),findmin_cpq_res(triple(sK8,sK9,sK10))),findmin_cpq_res(triple(sK8,sK9,sK10)))
| less_than(findmin_cpq_res(triple(sK8,sK9,sK10)),sK1(i(triple(sK8,sK9,sK10)),findmin_cpq_res(triple(sK8,sK9,sK10)))) ),
inference(instantiation,[status(thm)],[5]) ).
fof(totality,plain,
! [U,V] :
( less_than(U,V)
| less_than(V,U) ),
file('Axioms/SWV007+0.ax',totality) ).
cnf(1,plain,
( less_than(X0,X1)
| less_than(X1,X0) ),
inference(cnf,[status(esa)],[totality]) ).
cnf(l47,plain,
( less_than(sK1(i(triple(sK8,sK9,sK10)),findmin_cpq_res(triple(sK8,sK9,sK10))),findmin_cpq_res(triple(sK8,sK9,sK10)))
| less_than(findmin_cpq_res(triple(sK8,sK9,sK10)),sK1(i(triple(sK8,sK9,sK10)),findmin_cpq_res(triple(sK8,sK9,sK10)))) ),
inference(instantiation,[status(thm)],[1]) ).
fof(ax10,plain,
! [U,V] :
( issmallestelement_pq(U,V)
<=> ! [W] :
( contains_pq(U,W)
=> less_than(V,W) ) ),
file('Axioms/SWV007+1.ax',ax10) ).
cnf(15,plain,
( ~ less_than(X0,sK1(X1,X0))
| issmallestelement_pq(X1,X0) ),
inference(cnf,[status(esa)],[ax10]) ).
cnf(l55,plain,
( ~ less_than(findmin_cpq_res(triple(sK8,sK9,sK10)),sK1(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))) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l54,plain,
( ~ less_than(findmin_cpq_res(triple(sK8,sK9,sK10)),sK1(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))) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(90,plain,
~ issmallestelement_pq(i(triple(sK8,sK9,sK10)),findmin_cpq_res(triple(sK8,sK9,sK10))),
inference(cnf,[status(esa)],[l17_co_negated]) ).
cnf(l59,plain,
~ issmallestelement_pq(i(triple(sK8,sK9,sK10)),findmin_cpq_res(triple(sK8,sK9,sK10))),
inference(instantiation,[status(thm)],[90]) ).
cnf(l63,plain,
~ issmallestelement_pq(i(triple(sK8,sK9,sK10)),findmin_cpq_res(triple(sK8,sK9,sK10))),
inference(instantiation,[status(thm)],[90]) ).
cnf(14,plain,
( contains_pq(X0,sK1(X0,X1))
| issmallestelement_pq(X0,X1) ),
inference(cnf,[status(esa)],[ax10]) ).
cnf(l49,plain,
( contains_pq(i(triple(sK8,sK9,sK10)),sK1(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))) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l52,plain,
~ issmallestelement_pq(i(triple(sK8,sK9,sK10)),findmin_cpq_res(triple(sK8,sK9,sK10))),
inference(instantiation,[status(thm)],[90]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l45,l46,l47,l55,l54,l59,l63,l49,l52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV381+1 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Jul 22 09:06:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.33 % launching worker at depth: 10
% 0.12/0.37 % launching worker at depth: 11
% 14.75/2.16 % SZS status Theorem for theBenchmark
% 14.75/2.16 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------