%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWW474+1 : TPTP v9.0.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 05:04:27 PM UTC 2025
% Result : Theorem 138.84s 17.85s
% Output : CNFRefutation 138.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 18 unt; 0 def)
% Number of atoms : 48 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 14 ( 2 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_7,plain,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).
fof(conj_7_negated,plain,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(negate_conjecture,[status(cth)],[conj_7]) ).
cnf(576,plain,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(cnf,[status(esa)],[conj_7_negated]) ).
cnf(l0,plain,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(instantiation,[status(thm)],[576]) ).
fof(fact_4_cut,plain,
! [G,G_1,Ts] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),Ts))
=> ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),G_1))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),Ts)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).
cnf(57,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X1))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X2)) ),
inference(cnf,[status(esa)],[fact_4_cut]) ).
cnf(l1,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),bot_bo620288102e_bool))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool)))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))) ),
inference(instantiation,[status(thm)],[57]) ).
fof(fact_0_empty,plain,
! [G] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),bot_bo620288102e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).
cnf(53,plain,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),bot_bo620288102e_bool)),
inference(cnf,[status(esa)],[fact_0_empty]) ).
cnf(l33,plain,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),bot_bo620288102e_bool)),
inference(instantiation,[status(thm)],[53]) ).
fof(fact_103_MGF,plain,
! [C_1] :
( hBOOL(hoare_165779456gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(wt(C_1))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,C_1),bot_bo620288102e_bool))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_MGF) ).
cnf(174,plain,
( ~ hBOOL(wt(X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_165779456gleton)
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool))) ),
inference(cnf,[status(esa)],[fact_103_MGF]) ).
cnf(l2,plain,
( ~ hBOOL(wt(y))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_165779456gleton)
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))) ),
inference(instantiation,[status(thm)],[174]) ).
fof(conj_0,plain,
hBOOL(hoare_165779456gleton),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
cnf(569,plain,
hBOOL(hoare_165779456gleton),
inference(cnf,[status(esa)],[conj_0]) ).
cnf(l3,plain,
hBOOL(hoare_165779456gleton),
inference(instantiation,[status(thm)],[569]) ).
fof(conj_1,plain,
hBOOL(wT_bodies),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
cnf(570,plain,
hBOOL(wT_bodies),
inference(cnf,[status(esa)],[conj_1]) ).
cnf(l11,plain,
hBOOL(wT_bodies),
inference(instantiation,[status(thm)],[570]) ).
fof(fact_288_WT__bodiesD,plain,
! [Pn,B_2] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,Pn) = some_com(B_2)
=> hBOOL(wt(B_2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_288_WT__bodiesD) ).
cnf(461,plain,
( ~ hBOOL(wT_bodies)
| hAPP_p799580910on_com(body,X0) != some_com(X1)
| hBOOL(wt(X1)) ),
inference(cnf,[status(esa)],[fact_288_WT__bodiesD]) ).
cnf(l19,plain,
( ~ hBOOL(wT_bodies)
| hAPP_p799580910on_com(body,pn) != some_com(y)
| hBOOL(wt(y)) ),
inference(instantiation,[status(thm)],[461]) ).
fof(conj_5,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
cnf(574,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(cnf,[status(esa)],[conj_5]) ).
cnf(l20,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(instantiation,[status(thm)],[574]) ).
cnf(l21,plain,
hBOOL(wT_bodies),
inference(instantiation,[status(thm)],[570]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l33,l2,l3,l11,l19,l20,l21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW474+1 : TPTP v9.0.0. Released v5.3.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n027.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 14:04:34 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % launching worker at depth: 2
% 0.12/0.36 % launching worker at depth: 1
% 0.12/0.36 % launching worker at depth: 7
% 0.12/0.36 % launching worker at depth: 3
% 0.12/0.36 % launching worker at depth: 5
% 0.12/0.36 % launching worker at depth: 6
% 0.12/0.36 % launching worker at depth: 4
% 0.12/0.36 % launching worker at depth: 8
% 0.20/0.36 % launching worker at depth: 9
% 0.20/0.42 % launching worker at depth: 10
% 27.87/3.86 % launching worker at depth: 11
% 138.84/17.85 % SZS status Theorem for theBenchmark
% 138.84/17.85 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------