%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV246-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 01:20:34 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.26s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 9 unt; 2 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 24 ~; 25 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f2,negated_conjecture,
~ c_in(v_Y,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth_0) ).
fof(f5,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_union(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| c_in(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f24,plain,
~ c_in(v_Y,c_Message_Osynth(v_G),tc_Message_Omsg),
inference(resolution,[],[f6,f2]) ).
fof(f33,plain,
~ c_in(v_Y,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[],[f7,f2]) ).
fof(f126,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f8,f1]) ).
fof(f134,definition,
( spl0_11
<=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f135,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_11 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f136,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f138,definition,
( spl0_12
<=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f140,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f141,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f126,f138,f134]) ).
fof(f142,plain,
( c_in(v_Y,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_11 ),
inference(resolution,[],[f136,f3]) ).
fof(f147,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f142,f33]) ).
fof(f148,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f147]) ).
fof(f149,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| spl0_11 ),
inference(resolution,[],[f135,f5]) ).
fof(f150,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
| spl0_11 ),
inference(resolution,[],[f149,f7]) ).
fof(f296,plain,
( c_in(v_Y,c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
| ~ spl0_12 ),
inference(resolution,[],[f4,f140]) ).
fof(f297,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f296,f24]) ).
fof(f298,plain,
( $false
| spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f297,f150]) ).
fof(f299,plain,
( spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f298]) ).
cnf(s105,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f141]) ).
cnf(s110,plain,
~ spl0_11,
inference(sat_conversion,[],[f148]) ).
cnf(s199,plain,
( spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f299]) ).
cnf(s200,plain,
~ spl0_12,
inference(rat,[],[s199,s110]) ).
cnf(s201,plain,
$false,
inference(rat,[],[s105,s200,s110]) ).
fof(f300,plain,
$false,
inference(avatar_sat_refutation,[],[s201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV246-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n020.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 10:18:19 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.26 % (76721)Will run a generic schedule for satisfiability detection.
% 0.19/0.26 % (76728)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2407709868:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.26 % (76727)% WARNING: option uhcvi not known.
% 0.19/0.26 % (76728) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-76721-76728"...
% 0.19/0.26 % (76728)...printing done.
% 0.19/0.26 % (76728)Refutation found. Thanks to Tanya!
% 0.19/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.26 % (76728)------------------------------
% 0.19/0.26 % (76728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.26 % (76728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.26 % (76728)CaDiCaL version: 2.1.3
% 0.19/0.26 % (76728)Termination reason: Refutation
% 0.19/0.26 % (76728)Time elapsed: 0.004 s
% 0.19/0.26 % (76728)Peak memory usage: 12 MB
% 0.19/0.26 % (76728)Instructions burned: 8 (million)
% 0.19/0.26 % (76721)Success in time 0.033 s
% 0.19/0.26 % Vampire exiting
%------------------------------------------------------------------------------