%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW474+1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 : Tue Sep 29 01:30:31 PM UTC 2026
% Result : Theorem 3.59s 1.62s
% Output : Refutation 5.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 50 ( 19 unt; 2 def)
% Number of atoms : 106 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 107 ( 51 ~; 47 |; 0 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,axiom,
! [X0] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),bot_bo620288102e_bool)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_288_WT__bodiesD) ).
fof(f421,axiom,
hBOOL(hoare_165779456gleton),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f422,axiom,
hBOOL(wT_bodies),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f426,axiom,
hAPP_p799580910on_com(body,pn) = some_com(y),
file('/export/starexec/sandbox2/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/sandbox2/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(f437,plain,
! [X0,X1] :
( hBOOL(wt(X1))
| hAPP_p799580910on_com(body,X0) != some_com(X1)
| ~ hBOOL(wT_bodies) ),
inference(ennf_transformation,[],[f342]) ).
fof(f438,plain,
! [X0,X1] :
( hBOOL(wt(X1))
| hAPP_p799580910on_com(body,X0) != some_com(X1)
| ~ hBOOL(wT_bodies) ),
inference(flattening,[],[f437]) ).
fof(f439,plain,
! [X0] :
( 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))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_165779456gleton) ),
inference(ennf_transformation,[],[f157]) ).
fof(f440,plain,
! [X0] :
( 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))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_165779456gleton) ),
inference(flattening,[],[f439]) ).
fof(f514,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X1))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2)) ),
inference(ennf_transformation,[],[f58]) ).
fof(f515,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X1))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2)) ),
inference(flattening,[],[f514]) ).
fof(f568,plain,
hBOOL(hoare_165779456gleton),
inference(cnf_transformation,[],[f421]) ).
fof(f569,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f422]) ).
fof(f573,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(cnf_transformation,[],[f426]) ).
fof(f575,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(f576,plain,
! [X0,X1] :
( hAPP_p799580910on_com(body,X0) != some_com(X1)
| hBOOL(wt(X1))
| ~ hBOOL(wT_bodies) ),
inference(cnf_transformation,[],[f438]) ).
fof(f577,plain,
! [X0] :
( 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))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_165779456gleton) ),
inference(cnf_transformation,[],[f440]) ).
fof(f697,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,[],[f515]) ).
fof(f701,plain,
! [X0] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),bot_bo620288102e_bool)),
inference(cnf_transformation,[],[f54]) ).
fof(f777,definition,
( spl25_2
<=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))) ),
introduced(definition,[new_symbols(definition,[spl25_2])],[avatar_definition]) ).
fof(f778,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool)))
| ~ spl25_2 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f779,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool)))
| spl25_2 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f791,definition,
( spl25_5
<=> hBOOL(wt(y)) ),
introduced(definition,[new_symbols(definition,[spl25_5])],[avatar_definition]) ).
fof(f792,plain,
( hBOOL(wt(y))
| ~ spl25_5 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f793,plain,
( ~ hBOOL(wt(y))
| spl25_5 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f800,plain,
( ~ hBOOL(wt(y))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_165779456gleton)
| spl25_2 ),
inference(resolution,[],[f779,f577]) ).
fof(f805,plain,
! [X0] :
( hAPP_p799580910on_com(body,X0) != hAPP_p799580910on_com(body,pn)
| hBOOL(wt(y))
| ~ hBOOL(wT_bodies) ),
inference(superposition,[],[f576,f573]) ).
fof(f806,plain,
( ! [X0] :
( hAPP_p799580910on_com(body,X0) != hAPP_p799580910on_com(body,pn)
| ~ hBOOL(wT_bodies) )
| spl25_5 ),
inference(forward_subsumption_resolution,[],[f805,f793]) ).
fof(f807,plain,
( ! [X0] : hAPP_p799580910on_com(body,X0) != hAPP_p799580910on_com(body,pn)
| spl25_5 ),
inference(forward_subsumption_resolution,[],[f806,f569]) ).
fof(f808,plain,
( $false
| spl25_5 ),
inference(equality_resolution,[],[f807]) ).
fof(f809,plain,
spl25_5,
inference(avatar_contradiction_clause,[],[f808]) ).
fof(f812,plain,
( ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_165779456gleton)
| spl25_2
| ~ spl25_5 ),
inference(forward_subsumption_resolution,[],[f800,f792]) ).
fof(f815,plain,
( ~ hBOOL(hoare_165779456gleton)
| spl25_2
| ~ spl25_5 ),
inference(forward_subsumption_resolution,[],[f812,f569]) ).
fof(f816,plain,
( $false
| spl25_2
| ~ spl25_5 ),
inference(forward_subsumption_resolution,[],[f815,f568]) ).
fof(f817,plain,
( spl25_2
| ~ spl25_5 ),
inference(avatar_contradiction_clause,[],[f816]) ).
fof(f859,plain,
( ! [X0] :
( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),bot_bo620288102e_bool))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))) )
| ~ spl25_2 ),
inference(resolution,[],[f778,f697]) ).
fof(f860,plain,
( ! [X0] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool)))
| ~ spl25_2 ),
inference(forward_subsumption_resolution,[],[f859,f701]) ).
fof(f861,plain,
( $false
| ~ spl25_2 ),
inference(resolution,[],[f860,f575]) ).
fof(f866,plain,
~ spl25_2,
inference(avatar_contradiction_clause,[],[f861]) ).
cnf(s5,plain,
spl25_5,
inference(sat_conversion,[],[f809]) ).
cnf(s6,plain,
( spl25_2
| ~ spl25_5 ),
inference(sat_conversion,[],[f817]) ).
cnf(s9,plain,
~ spl25_2,
inference(sat_conversion,[],[f866]) ).
cnf(s10,plain,
~ spl25_5,
inference(rat,[],[s6,s9]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s5,s10]) ).
fof(f867,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW474+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 % Computer : n003.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Mon Sep 28 14:08:42 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.29 Running first-order theorem proving
% 0.25/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.59/1.62 % (1601965)Detected formulas, will run a generic FOF schedule.
% 3.59/1.62 % (1601972)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1555153087:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.59/1.62 % (1601970)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2515407389:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.59/1.62 % (1601973)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=715318801:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.59/1.62 % (1601976)dis-21_1_sil=8000:lcm=predicate:random_seed=3389183781:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.59/1.62 % (1601974)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=434628288:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.59/1.62 % (1601975)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2058827500:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.59/1.62 % (1601973)First to succeed.
% 3.59/1.62 % (1601973)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1601965"
% 3.59/1.62 % (1601971)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=55483404:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.59/1.62 % (1601974)Also succeeded, but the first one will report.
% 3.59/1.62 % (1601976)Instruction limit reached!
% 3.59/1.62 % (1601976)------------------------------
% 3.59/1.62 % (1601976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.62 % (1601976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.62 % (1601976)CaDiCaL version: 2.1.3
% 3.59/1.62 % (1601976)Termination reason: Instruction limit
% 3.59/1.62 % (1601976)Termination phase: Saturation
% 3.59/1.62 % (1601976)Time elapsed: 0.120 s
% 3.59/1.62 % (1601976)Peak memory usage: 91 MB
% 3.59/1.62 % (1601976)Instructions burned: 129 (million)
% 3.59/1.62 % (1601975)Instruction limit reached!
% 3.59/1.62 % (1601975)------------------------------
% 3.59/1.62 % (1601975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.62 % (1601975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.62 % (1601975)CaDiCaL version: 2.1.3
% 3.59/1.62 % (1601975)Termination reason: Instruction limit
% 3.59/1.62 % (1601975)Termination phase: Saturation
% 3.59/1.62 % (1601975)Time elapsed: 0.137 s
% 3.59/1.62 % (1601975)Peak memory usage: 90 MB
% 3.59/1.62 % (1601975)Instructions burned: 140 (million)
% 3.59/1.62 % (1601984)lrs+10_1_sil=8000:sp=occurrence:random_seed=2690883061:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 3.59/1.62 % (1601985)lrs+10_1_sil=32000:urr=on:br=off:random_seed=769725233:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 3.59/1.62 % (1601973)Refutation found. Thanks to Tanya!
% 3.59/1.62 % SZS status Theorem for theBenchmark
% 3.59/1.62 % SZS output start Proof for theBenchmark
% See solution above
% 5.79/1.87 % (1601973)------------------------------
% 5.79/1.87 % (1601973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.87 % (1601973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.87 % (1601973)CaDiCaL version: 2.1.3
% 5.79/1.87 % (1601973)Termination reason: Refutation
% 5.79/1.87 % (1601973)Time elapsed: 0.021 s
% 5.79/1.87 % (1601973)Peak memory usage: 90 MB
% 5.79/1.87 % (1601973)Instructions burned: 19 (million)
% 5.79/1.87 % (1601973)------------------------------
% 5.79/1.87 % (1601973)------------------------------
% 5.79/1.87 % (1601965)Success in time 0.704 s
% 5.79/1.87 % Vampire exiting
%------------------------------------------------------------------------------