%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW474+1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:29:49 PM UTC 2026
% Result : Theorem 6.34s 2.48s
% Output : CNFRefutation 6.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 20 unt; 0 def)
% Number of atoms : 80 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 78 ( 38 ~; 33 |; 0 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 41 ( 0 sgn 41 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
fof(f54,axiom,
! [X0] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),bot_bo620288102e_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_empty) ).
fof(f58,axiom,
! [X0,X1,X2] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
=> ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X1))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_cut) ).
fof(f157,axiom,
! [X0] :
( hBOOL(hoare_165779456gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(wt(X0))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103_MGF) ).
fof(f342,axiom,
! [X0,X1] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X0) = some_com(X1)
=> hBOOL(wt(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_288_WT__bodiesD) ).
fof(f421,axiom,
hBOOL(hoare_165779456gleton),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f422,axiom,
hBOOL(wT_bodies),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f426,axiom,
hAPP_p799580910on_com(body,pn) = some_com(y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).
fof(f428,conjecture,
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/sandbox/benchmark/theBenchmark.p',conj_7) ).
fof(f429,negated_conjecture,
~ 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(negated_conjecture,[status(cth)],[f428]) ).
fof(f430,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(flattening,[],[f429]) ).
fof(f435,plain,
! [X0,X1] :
( ~ hBOOL(wT_bodies)
| hAPP_p799580910on_com(body,X0) != some_com(X1)
| hBOOL(wt(X1)) ),
inference(ennf_transformation,[],[f342]) ).
fof(f436,plain,
! [X0,X1] :
( ~ hBOOL(wT_bodies)
| hAPP_p799580910on_com(body,X0) != some_com(X1)
| hBOOL(wt(X1)) ),
inference(flattening,[],[f435]) ).
fof(f437,plain,
! [X0] :
( ~ hBOOL(hoare_165779456gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(wt(X0))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool))) ),
inference(ennf_transformation,[],[f157]) ).
fof(f438,plain,
! [X0] :
( ~ hBOOL(hoare_165779456gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(wt(X0))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool))) ),
inference(flattening,[],[f437]) ).
fof(f518,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X1))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X2)) ),
inference(ennf_transformation,[],[f58]) ).
fof(f519,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X1))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X2)) ),
inference(flattening,[],[f518]) ).
fof(f644,plain,
hBOOL(hoare_165779456gleton),
inference(cnf_transformation,[],[f421]) ).
fof(f645,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f422]) ).
fof(f649,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(cnf_transformation,[],[f426]) ).
fof(f651,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_transformation,[],[f430]) ).
fof(f656,plain,
! [X0,X1] :
( ~ hBOOL(wT_bodies)
| hAPP_p799580910on_com(body,X0) != some_com(X1)
| hBOOL(wt(X1)) ),
inference(cnf_transformation,[],[f436]) ).
fof(f657,plain,
! [X0] :
( ~ hBOOL(hoare_165779456gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(wt(X0))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool))) ),
inference(cnf_transformation,[],[f438]) ).
fof(f783,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X1))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X2)) ),
inference(cnf_transformation,[],[f519]) ).
fof(f787,plain,
! [X0] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),bot_bo620288102e_bool)),
inference(cnf_transformation,[],[f54]) ).
tcf(c_54,plain,
hBOOL(hoare_165779456gleton),
inference(cnf_transformation,[],[f644]) ).
tcf(c_55,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f645]) ).
tcf(c_59,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(cnf_transformation,[],[f649]) ).
tcf(c_61,negated_conjecture,
~ 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_transformation,[],[f651]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( hBOOL(wt(X1))
| ~ hBOOL(wT_bodies)
| ( hAPP_p799580910on_com(body,X0) != some_com(X1) ) ),
inference(cnf_transformation,[],[f656]) ).
tcf(c_67,plain,
! [X0: $i] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool)))
| ~ hBOOL(hoare_165779456gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(wt(X0)) ),
inference(cnf_transformation,[],[f657]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X1)) ),
inference(cnf_transformation,[],[f783]) ).
tcf(c_197,plain,
! [X0: $i] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),bot_bo620288102e_bool)),
inference(cnf_transformation,[],[f787]) ).
tcf(c_444,plain,
! [X0: $i,X1: $i] :
( hBOOL(wt(X1))
| ( hAPP_p799580910on_com(body,X0) != some_com(X1) ) ),
inference(global_subsumption_just,[status(thm)],[c_66,c_55,c_66]) ).
tcf(c_450,plain,
! [X0: $i] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool)))
| ~ hBOOL(wt(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_67,c_55,c_54,c_67]) ).
tcf(c_5928,plain,
! [X0: $i] :
( hBOOL(wt(X0))
| ( some_com(X0) != some_com(y) ) ),
inference(superposition,[status(thm)],[c_59,c_444]) ).
tcf(c_5936,plain,
hBOOL(wt(y)),
inference(equality_resolution,[status(thm)],[c_5928]) ).
tcf(c_9205,plain,
! [X0: $i,X1: $i] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X0))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),X0)) ),
inference(superposition,[status(thm)],[c_197,c_193]) ).
tcf(c_9526,plain,
! [X0: $i,X1: $i] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool)))
| ~ hBOOL(wt(X0)) ),
inference(superposition,[status(thm)],[c_450,c_9205]) ).
tcf(c_11187,plain,
~ hBOOL(wt(y)),
inference(superposition,[status(thm)],[c_9526,c_61]) ).
tcf(c_11195,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11187,c_5936]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW474+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.43 % Computer : n026.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Thu Sep 24 22:37:11 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.49 Running first-order theorem proving
% 0.16/0.49 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.25/0.51
% 0.25/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.25/0.51
% 0.25/0.51 % Detected problem language: tptp
% 0.25/0.52 % Proving...
% 6.34/2.48 % SZS status Started for theBenchmark.p
% 6.34/2.48 % SZS status Theorem for theBenchmark.p
% 6.34/2.48
% 6.34/2.48 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.34/2.48
% 6.34/2.48 % ------ iProver source info
% 6.34/2.48
% 6.34/2.48 % git: date: 2026-07-19 20:42:38 +0200
% 6.34/2.48 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.34/2.48 % git: non_committed_changes: false
% 6.34/2.48
% 6.34/2.48 % ------ Parsing...
% 6.34/2.48 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.34/2.48
% 6.34/2.48 % ------ Preprocessing... sup_sim: 2 sf_s rm: 10 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 6.34/2.48
% 6.34/2.48 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.34/2.48
% 6.34/2.48 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.34/2.48 % ------ Proving...
% 6.34/2.48 % ------ Problem Properties
% 6.34/2.48
% 6.34/2.48 %
% 6.34/2.48 % clauses 165
% 6.34/2.48 % conjectures 1
% 6.34/2.48 % EPR 6
% 6.34/2.48 % Horn 124
% 6.34/2.48 % unary 40
% 6.34/2.48 % binary 56
% 6.34/2.48 % lits 413
% 6.34/2.48 % lits eq 82
% 6.34/2.48 % fd_pure 0
% 6.34/2.48 % fd_pseudo 0
% 6.34/2.48 % fd_cond 13
% 6.34/2.48 % fd_pseudo_cond 22
% 6.34/2.48 % AC symbols 0
% 6.34/2.48
% 6.34/2.48 % ------ Schedule dynamic 5 is on
% 6.34/2.48
% 6.34/2.48 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.34/2.48
% 6.34/2.48
% 6.34/2.48 % ------
% 6.34/2.48 % Current options:
% 6.34/2.48 % ------
% 6.34/2.48
% 6.34/2.48
% 6.34/2.48 %
% 6.34/2.48
% 6.34/2.48 % ------ Proving...
% 6.34/2.48 %
% 6.34/2.48
% 6.34/2.48 % SZS status Theorem for theBenchmark.p
% 6.34/2.48
% 6.34/2.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.34/2.48
% 6.34/2.48
%------------------------------------------------------------------------------