%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV908-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:19:46 PM UTC 2026
% Result : Unsatisfiable 0.19s 1.14s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 12 unt; 3 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 17 ~; 14 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-5 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f380,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityE_0) ).
fof(f527,axiom,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X0,tc_Com_Ostate)
| ~ c_lessequals(X0,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MGF__lemma2__simult_0) ).
fof(f537,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f538,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f541,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f841,definition,
( spl1_2
<=> c_Hoare__Mirabelle_Ostate__not__singleton ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f845,definition,
( spl1_3
<=> c_Com_OWT__bodies ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f846,plain,
( ~ c_Com_OWT__bodies
| spl1_3 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f853,definition,
( spl1_5
<=> ! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X0,tc_Com_Ostate)
| ~ c_lessequals(X0,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f854,plain,
( ! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X0,tc_Com_Ostate)
| ~ c_lessequals(X0,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)) )
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f855,plain,
( ~ spl1_2
| ~ spl1_3
| spl1_5 ),
inference(avatar_split_clause,[],[f527,f853,f845,f841]) ).
fof(f872,plain,
spl1_2,
inference(avatar_split_clause,[],[f537,f841]) ).
fof(f873,plain,
( $false
| spl1_3 ),
inference(resolution,[],[f538,f846]) ).
fof(f874,plain,
spl1_3,
inference(avatar_contradiction_clause,[],[f873]) ).
fof(f895,plain,
( ~ c_lessequals(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))
| ~ spl1_5 ),
inference(resolution,[],[f541,f854]) ).
fof(f901,plain,
( $false
| ~ spl1_5 ),
inference(resolution,[],[f380,f895]) ).
fof(f902,plain,
~ spl1_5,
inference(avatar_contradiction_clause,[],[f901]) ).
cnf(s3,plain,
( ~ spl1_2
| ~ spl1_3
| spl1_5 ),
inference(sat_conversion,[],[f855]) ).
cnf(s8,plain,
spl1_2,
inference(sat_conversion,[],[f872]) ).
cnf(s9,plain,
spl1_3,
inference(sat_conversion,[],[f874]) ).
cnf(s11,plain,
~ spl1_5,
inference(sat_conversion,[],[f902]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s3,s11,s9,s8]) ).
fof(f903,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV908-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n016.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 12:57:48 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/1.14 % (3602049)Input is clausal, will run a generic CNF schedule.
% 0.19/1.14 % (3602060)dis-21_1_sil=8000:lcm=predicate:random_seed=530905495:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.19/1.14 % (3602060)First to succeed.
% 0.19/1.14 % (3602060)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3602049"
% 0.19/1.14 % (3602059)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3737975812:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/1.14 % (3602057)lrs+10_1_sil=8000:sp=occurrence:random_seed=2329738043:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/1.14 % (3602056)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3821237181:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.19/1.14 % (3602055)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3645799652:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.19/1.14 % (3602058)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2338471783:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/1.14 % (3602054)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=2422923990:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.19/1.14 % (3602057)Instruction limit reached!
% 0.19/1.14 % (3602057)------------------------------
% 0.19/1.14 % (3602057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.14 % (3602057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.14 % (3602057)CaDiCaL version: 2.1.3
% 0.19/1.14 % (3602057)Termination reason: Instruction limit
% 0.19/1.14 % (3602057)Termination phase: Saturation
% 0.19/1.14 % (3602057)Time elapsed: 0.076 s
% 0.19/1.14 % (3602057)Peak memory usage: 89 MB
% 0.19/1.14 % (3602057)Instructions burned: 107 (million)
% 0.19/1.14 % (3602058)Instruction limit reached!
% 0.19/1.14 % (3602058)------------------------------
% 0.19/1.14 % (3602058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.14 % (3602058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.14 % (3602058)CaDiCaL version: 2.1.3
% 0.19/1.14 % (3602058)Termination reason: Instruction limit
% 0.19/1.14 % (3602058)Termination phase: Saturation
% 0.19/1.14 % (3602058)Time elapsed: 0.080 s
% 0.19/1.14 % (3602058)Peak memory usage: 89 MB
% 0.19/1.14 % (3602058)Instructions burned: 115 (million)
% 0.19/1.14 % (3602059)Also succeeded, but the first one will report.
% 0.19/1.14 % (3602060)Refutation found. Thanks to Tanya!
% 0.19/1.14 % SZS status Unsatisfiable for theBenchmark
% 0.19/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.14 % (3602060)------------------------------
% 0.19/1.14 % (3602060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.14 % (3602060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.14 % (3602060)CaDiCaL version: 2.1.3
% 0.19/1.14 % (3602060)Termination reason: Refutation
% 0.19/1.14 % (3602060)Time elapsed: 0.007 s
% 0.19/1.14 % (3602060)Peak memory usage: 89 MB
% 0.19/1.14 % (3602060)Instructions burned: 23 (million)
% 0.19/1.14 % (3602060)------------------------------
% 0.19/1.14 % (3602060)------------------------------
% 0.19/1.14 % (3602049)Success in time 0.297 s
% 0.19/1.14 % Vampire exiting
%------------------------------------------------------------------------------