%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW474+3 : 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 01:30:32 PM UTC 2026
% Result : Theorem 1.62s 1.04s
% Output : Refutation 3.24s
% 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 : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 11 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f83,axiom,
! [X0] : hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),bot_bo784226126e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).
fof(f87,axiom,
! [X0,X1,X2] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2))
=> ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X1))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).
fof(f149,axiom,
! [X0] :
( hBOOL(hoare_1795711768gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP_com_bool(wt,X0))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_MGF) ).
fof(f380,axiom,
! [X0,X1] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X0) = hAPP_com_option_com(some_com,X1)
=> hBOOL(hAPP_com_bool(wt,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_297_WT__bodiesD) ).
fof(f1434,axiom,
hBOOL(hoare_1795711768gleton),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1435,axiom,
hBOOL(wT_bodies),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f1439,axiom,
hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
fof(f1441,conjecture,
hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).
fof(f1442,negated_conjecture,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(negated_conjecture,[status(cth)],[f1441]) ).
fof(f1443,plain,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(flattening,[],[f1442]) ).
fof(f1445,plain,
! [X0,X1] :
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1)
| ~ hBOOL(wT_bodies) ),
inference(ennf_transformation,[],[f380]) ).
fof(f1446,plain,
! [X0,X1] :
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1)
| ~ hBOOL(wT_bodies) ),
inference(flattening,[],[f1445]) ).
fof(f1447,plain,
! [X0] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1795711768gleton) ),
inference(ennf_transformation,[],[f149]) ).
fof(f1448,plain,
! [X0] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1795711768gleton) ),
inference(flattening,[],[f1447]) ).
fof(f1565,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X2))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X1))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2)) ),
inference(ennf_transformation,[],[f87]) ).
fof(f1566,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X2))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X1))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2)) ),
inference(flattening,[],[f1565]) ).
fof(f1682,plain,
hBOOL(hoare_1795711768gleton),
inference(cnf_transformation,[],[f1434]) ).
fof(f1683,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f1435]) ).
fof(f1687,plain,
hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
inference(cnf_transformation,[],[f1439]) ).
fof(f1689,plain,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(cnf_transformation,[],[f1443]) ).
fof(f1690,plain,
! [X0,X1] :
( hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1)
| hBOOL(hAPP_com_bool(wt,X1))
| ~ hBOOL(wT_bodies) ),
inference(cnf_transformation,[],[f1446]) ).
fof(f1691,plain,
! [X0] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1795711768gleton) ),
inference(cnf_transformation,[],[f1448]) ).
fof(f1876,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X1))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X2)) ),
inference(cnf_transformation,[],[f1566]) ).
fof(f1880,plain,
! [X0] : hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),bot_bo784226126e_bool)),
inference(cnf_transformation,[],[f83]) ).
fof(f2107,definition,
( spl79_2
<=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))) ),
introduced(definition,[new_symbols(definition,[spl79_2])],[avatar_definition]) ).
fof(f2108,plain,
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool)))
| ~ spl79_2 ),
inference(avatar_component_clause,[],[f2107]) ).
fof(f2109,plain,
( ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool)))
| spl79_2 ),
inference(avatar_component_clause,[],[f2107]) ).
fof(f2121,definition,
( spl79_5
<=> hBOOL(hAPP_com_bool(wt,y)) ),
introduced(definition,[new_symbols(definition,[spl79_5])],[avatar_definition]) ).
fof(f2122,plain,
( hBOOL(hAPP_com_bool(wt,y))
| ~ spl79_5 ),
inference(avatar_component_clause,[],[f2121]) ).
fof(f2123,plain,
( ~ hBOOL(hAPP_com_bool(wt,y))
| spl79_5 ),
inference(avatar_component_clause,[],[f2121]) ).
fof(f2141,plain,
( ~ hBOOL(hAPP_com_bool(wt,y))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1795711768gleton)
| spl79_2 ),
inference(resolution,[],[f2109,f1691]) ).
fof(f2185,plain,
! [X0] :
( hAPP_p799580910on_com(body,X0) != hAPP_p799580910on_com(body,pn)
| hBOOL(hAPP_com_bool(wt,y))
| ~ hBOOL(wT_bodies) ),
inference(superposition,[],[f1690,f1687]) ).
fof(f2186,plain,
( ! [X0] :
( hAPP_p799580910on_com(body,X0) != hAPP_p799580910on_com(body,pn)
| ~ hBOOL(wT_bodies) )
| spl79_5 ),
inference(forward_subsumption_resolution,[],[f2185,f2123]) ).
fof(f2187,plain,
( ! [X0] : hAPP_p799580910on_com(body,X0) != hAPP_p799580910on_com(body,pn)
| spl79_5 ),
inference(forward_subsumption_resolution,[],[f2186,f1683]) ).
fof(f2198,plain,
( $false
| spl79_5 ),
inference(equality_resolution,[],[f2187]) ).
fof(f2199,plain,
spl79_5,
inference(avatar_contradiction_clause,[],[f2198]) ).
fof(f2210,plain,
( ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1795711768gleton)
| spl79_2
| ~ spl79_5 ),
inference(forward_subsumption_resolution,[],[f2141,f2122]) ).
fof(f2213,plain,
( ~ hBOOL(hoare_1795711768gleton)
| spl79_2
| ~ spl79_5 ),
inference(forward_subsumption_resolution,[],[f2210,f1683]) ).
fof(f2214,plain,
( $false
| spl79_2
| ~ spl79_5 ),
inference(forward_subsumption_resolution,[],[f2213,f1682]) ).
fof(f2215,plain,
( spl79_2
| ~ spl79_5 ),
inference(avatar_contradiction_clause,[],[f2214]) ).
fof(f2366,plain,
( ! [X0] :
( ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),bot_bo784226126e_bool))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))) )
| ~ spl79_2 ),
inference(resolution,[],[f2108,f1876]) ).
fof(f2386,plain,
( ! [X0] : hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool)))
| ~ spl79_2 ),
inference(forward_subsumption_resolution,[],[f2366,f1880]) ).
fof(f2499,plain,
( $false
| ~ spl79_2 ),
inference(resolution,[],[f2386,f1689]) ).
fof(f2520,plain,
~ spl79_2,
inference(avatar_contradiction_clause,[],[f2499]) ).
cnf(s5,plain,
spl79_5,
inference(sat_conversion,[],[f2199]) ).
cnf(s7,plain,
( spl79_2
| ~ spl79_5 ),
inference(sat_conversion,[],[f2215]) ).
cnf(s15,plain,
~ spl79_2,
inference(sat_conversion,[],[f2520]) ).
cnf(s16,plain,
~ spl79_5,
inference(rat,[],[s7,s15]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s5,s16]) ).
fof(f2521,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW474+3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 % Computer : n003.cluster.edu
% 0.10/0.25 % Model : x86_64 x86_64
% 0.10/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.25 % Memory : 8046.5625MB
% 0.10/0.25 % OS : Linux 6.8.0-71-generic
% 0.10/0.25 % CPULimit : 300
% 0.10/0.25 % WCLimit : 300
% 0.10/0.25 % DateTime : Mon Sep 28 14:09:13 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.30 Running first-order theorem proving
% 0.23/0.30 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
% 1.62/1.04 % (1603619)Detected formulas, will run a generic FOF schedule.
% 1.62/1.04 % (1603633)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2334292912:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.62/1.04 % (1603633)First to succeed.
% 1.62/1.04 % (1603633)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1603619"
% 1.62/1.04 % (1603631)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=4252980913:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.62/1.04 % (1603630)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=3726410123:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.62/1.04 % (1603634)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2188275995:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.62/1.04 % (1603632)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=1357728186:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.62/1.04 % (1603636)dis-21_1_sil=8000:lcm=predicate:random_seed=166771953: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)
% 1.62/1.04 % (1603635)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2454576259:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.62/1.04 % (1603636)Instruction limit reached!
% 1.62/1.04 % (1603636)------------------------------
% 1.62/1.04 % (1603636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.62/1.04 % (1603636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/1.04 % (1603636)CaDiCaL version: 2.1.3
% 1.62/1.04 % (1603636)Termination reason: Instruction limit
% 1.62/1.04 % (1603636)Termination phase: Property scanning
% 1.62/1.04 % (1603636)Time elapsed: 0.105 s
% 1.62/1.04 % (1603636)Peak memory usage: 89 MB
% 1.62/1.04 % (1603636)Instructions burned: 129 (million)
% 1.62/1.04 % (1603634)Instruction limit reached!
% 1.62/1.04 % (1603634)------------------------------
% 1.62/1.04 % (1603634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.62/1.04 % (1603634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/1.04 % (1603634)CaDiCaL version: 2.1.3
% 1.62/1.04 % (1603634)Termination reason: Instruction limit
% 1.62/1.04 % (1603634)Termination phase: Saturation
% 1.62/1.04 % (1603634)Time elapsed: 0.118 s
% 1.62/1.04 % (1603634)Peak memory usage: 90 MB
% 1.62/1.04 % (1603634)Instructions burned: 120 (million)
% 1.62/1.04 % (1603635)Instruction limit reached!
% 1.62/1.04 % (1603635)------------------------------
% 1.62/1.04 % (1603635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.62/1.04 % (1603635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/1.04 % (1603635)CaDiCaL version: 2.1.3
% 1.62/1.04 % (1603635)Termination reason: Instruction limit
% 1.62/1.04 % (1603635)Termination phase: Saturation
% 1.62/1.04 % (1603635)Time elapsed: 0.119 s
% 1.62/1.04 % (1603635)Peak memory usage: 91 MB
% 1.62/1.04 % (1603635)Instructions burned: 140 (million)
% 1.62/1.04 % (1603633)Refutation found. Thanks to Tanya!
% 1.62/1.04 % SZS status Theorem for theBenchmark
% 1.62/1.04 % SZS output start Proof for theBenchmark
% See solution above
% 3.24/1.34 % (1603633)------------------------------
% 3.24/1.34 % (1603633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.24/1.34 % (1603633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/1.34 % (1603633)CaDiCaL version: 2.1.3
% 3.24/1.34 % (1603633)Termination reason: Refutation
% 3.24/1.34 % (1603633)Time elapsed: 0.016 s
% 3.24/1.34 % (1603633)Peak memory usage: 91 MB
% 3.24/1.34 % (1603633)Instructions burned: 44 (million)
% 3.24/1.34 % (1603633)------------------------------
% 3.24/1.34 % (1603633)------------------------------
% 3.24/1.34 % (1603619)Success in time 0.389 s
% 3.24/1.34 % Vampire exiting
%------------------------------------------------------------------------------