TSTP Solution File: SWW474+2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWW474+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 Sep 1 00:39:25 EDT 2023
% Result : Theorem 84.93s 12.30s
% Output : CNFRefutation 84.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 20 unt; 0 def)
% Number of atoms : 94 ( 11 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 90 ( 40 ~; 36 |; 0 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 10 con; 0-2 aty)
% Number of variables : 44 ( 3 sgn; 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f55,axiom,
! [X2] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),bot_bo1055319631e_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_empty) ).
fof(f59,axiom,
! [X2,X5,X3] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X5),X3))
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),X5))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_cut) ).
fof(f108,axiom,
! [X14] :
( hBOOL(hoare_298929751gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP_com_bool(wt,X14))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X14)),bot_bo1055319631e_bool))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_MGF) ).
fof(f270,axiom,
! [X28,X29] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X28) = some_com(X29)
=> hBOOL(hAPP_com_bool(wt,X29)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_215_WT__bodiesD) ).
fof(f861,axiom,
hBOOL(hoare_298929751gleton),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f862,axiom,
hBOOL(wT_bodies),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f866,axiom,
hAPP_p799580910on_com(body,pn) = some_com(y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).
fof(f868,conjecture,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_7) ).
fof(f869,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(negated_conjecture,[],[f868]) ).
fof(f870,plain,
! [X0] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),bot_bo1055319631e_bool)),
inference(rectify,[],[f55]) ).
fof(f874,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X1))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X2)) ) ),
inference(rectify,[],[f59]) ).
fof(f919,plain,
! [X0] :
( hBOOL(hoare_298929751gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP_com_bool(wt,X0))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool))) ) ) ),
inference(rectify,[],[f108]) ).
fof(f1077,plain,
! [X0,X1] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X0) = some_com(X1)
=> hBOOL(hAPP_com_bool(wt,X1)) ) ),
inference(rectify,[],[f270]) ).
fof(f1665,plain,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(flattening,[],[f869]) ).
fof(f1689,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2)) ),
inference(ennf_transformation,[],[f874]) ).
fof(f1690,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2)) ),
inference(flattening,[],[f1689]) ).
fof(f1747,plain,
! [X0] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_298929751gleton) ),
inference(ennf_transformation,[],[f919]) ).
fof(f1748,plain,
! [X0] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_298929751gleton) ),
inference(flattening,[],[f1747]) ).
fof(f1871,plain,
! [X0,X1] :
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X0) != some_com(X1)
| ~ hBOOL(wT_bodies) ),
inference(ennf_transformation,[],[f1077]) ).
fof(f1872,plain,
! [X0,X1] :
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X0) != some_com(X1)
| ~ hBOOL(wT_bodies) ),
inference(flattening,[],[f1871]) ).
fof(f2864,plain,
! [X0] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),bot_bo1055319631e_bool)),
inference(cnf_transformation,[],[f870]) ).
fof(f2868,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2)) ),
inference(cnf_transformation,[],[f1690]) ).
fof(f2924,plain,
! [X0] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_298929751gleton) ),
inference(cnf_transformation,[],[f1748]) ).
fof(f3178,plain,
! [X0,X1] :
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X0) != some_com(X1)
| ~ hBOOL(wT_bodies) ),
inference(cnf_transformation,[],[f1872]) ).
fof(f4102,plain,
hBOOL(hoare_298929751gleton),
inference(cnf_transformation,[],[f861]) ).
fof(f4103,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f862]) ).
fof(f4107,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(cnf_transformation,[],[f866]) ).
fof(f4109,plain,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(cnf_transformation,[],[f1665]) ).
cnf(c_103,plain,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),bot_bo1055319631e_bool)),
inference(cnf_transformation,[],[f2864]) ).
cnf(c_107,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X2)) ),
inference(cnf_transformation,[],[f2868]) ).
cnf(c_163,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_298929751gleton)
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool))) ),
inference(cnf_transformation,[],[f2924]) ).
cnf(c_416,plain,
( hAPP_p799580910on_com(body,X0) != some_com(X1)
| ~ hBOOL(wT_bodies)
| hBOOL(hAPP_com_bool(wt,X1)) ),
inference(cnf_transformation,[],[f3178]) ).
cnf(c_1326,plain,
hBOOL(hoare_298929751gleton),
inference(cnf_transformation,[],[f4102]) ).
cnf(c_1327,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f4103]) ).
cnf(c_1331,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(cnf_transformation,[],[f4107]) ).
cnf(c_1333,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(cnf_transformation,[],[f4109]) ).
cnf(c_2265,plain,
( hAPP_p799580910on_com(body,X0) != some_com(X1)
| hBOOL(hAPP_com_bool(wt,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_416,c_1327,c_416]) ).
cnf(c_2277,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool))) ),
inference(global_subsumption_just,[status(thm)],[c_163,c_1327,c_1326,c_163]) ).
cnf(c_19104,plain,
( hAPP_p799580910on_com(body,pn) != some_com(y)
| hBOOL(hAPP_com_bool(wt,y)) ),
inference(instantiation,[status(thm)],[c_2265]) ).
cnf(c_26023,plain,
( ~ hBOOL(hAPP_com_bool(wt,y))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))) ),
inference(instantiation,[status(thm)],[c_2277]) ).
cnf(c_51315,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),X0))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))) ),
inference(instantiation,[status(thm)],[c_107]) ).
cnf(c_53954,plain,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),bot_bo1055319631e_bool)),
inference(instantiation,[status(thm)],[c_103]) ).
cnf(c_54525,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))) ),
inference(instantiation,[status(thm)],[c_51315]) ).
cnf(c_54527,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_54525,c_53954,c_26023,c_19104,c_1333,c_1331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW474+2 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 20:33:34 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 84.93/12.30 % SZS status Started for theBenchmark.p
% 84.93/12.30 % SZS status Theorem for theBenchmark.p
% 84.93/12.30
% 84.93/12.30 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 84.93/12.30
% 84.93/12.30 ------ iProver source info
% 84.93/12.30
% 84.93/12.30 git: date: 2023-05-31 18:12:56 +0000
% 84.93/12.30 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 84.93/12.30 git: non_committed_changes: false
% 84.93/12.30 git: last_make_outside_of_git: false
% 84.93/12.30
% 84.93/12.30 ------ Parsing...
% 84.93/12.30 ------ Clausification by vclausify_rel & Parsing by iProver...
% 84.93/12.30
% 84.93/12.30 ------ Preprocessing...
% 84.93/12.30
% 84.93/12.30 ------ Preprocessing...
% 84.93/12.30
% 84.93/12.30 ------ Preprocessing...
% 84.93/12.30 ------ Proving...
% 84.93/12.30 ------ Problem Properties
% 84.93/12.30
% 84.93/12.30
% 84.93/12.30 clauses 1008
% 84.93/12.30 conjectures 1
% 84.93/12.30 EPR 15
% 84.93/12.30 Horn 751
% 84.93/12.30 unary 269
% 84.93/12.30 binary 346
% 84.93/12.30 lits 2468
% 84.93/12.30 lits eq 569
% 84.93/12.30 fd_pure 0
% 84.93/12.30 fd_pseudo 0
% 84.93/12.30 fd_cond 82
% 84.93/12.31 fd_pseudo_cond 48
% 84.93/12.31 AC symbols 0
% 84.93/12.31
% 84.93/12.31 ------ Input Options Time Limit: Unbounded
% 84.93/12.31
% 84.93/12.31
% 84.93/12.31 ------
% 84.93/12.31 Current options:
% 84.93/12.31 ------
% 84.93/12.31
% 84.93/12.31
% 84.93/12.31
% 84.93/12.31
% 84.93/12.31 ------ Proving...
% 84.93/12.31
% 84.93/12.31
% 84.93/12.31 % SZS status Theorem for theBenchmark.p
% 84.93/12.31
% 84.93/12.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 84.93/12.31
% 84.93/12.31
%------------------------------------------------------------------------------