%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV245-2 : 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 : n018.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 0.21s 0.31s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 11 unt; 4 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 66 ( 31 ~; 31 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 27 ( 0 sgn 27 !; 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_X,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(X0,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(X0,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_1) ).
fof(f5,axiom,
! [X0,X1] :
( ~ c_in(X0,X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(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,X1,X2)
| c_in(X0,c_union(X3,X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_union(X1,X3,X2),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(f23,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(f25,definition,
( spl0_1
<=> 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_1])],[avatar_definition]) ).
fof(f27,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_1 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f29,definition,
( spl0_2
<=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f31,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f32,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f23,f29,f25]) ).
fof(f36,plain,
( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
| ~ spl0_2 ),
inference(resolution,[],[f4,f31]) ).
fof(f38,definition,
( spl0_3
<=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f40,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f42,definition,
( spl0_4
<=> c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f44,plain,
( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f45,plain,
( spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f36,f29,f42,f38]) ).
fof(f47,plain,
( ! [X0] : c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(v_G,X0,tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_3 ),
inference(resolution,[],[f40,f7]) ).
fof(f134,plain,
( ! [X0] : c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,X0,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_3 ),
inference(resolution,[],[f47,f5]) ).
fof(f245,plain,
( ! [X0] : c_in(v_X,c_Message_Oanalz(c_union(v_G,X0,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_3 ),
inference(resolution,[],[f134,f3]) ).
fof(f254,plain,
( ! [X0,X1] : c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,X0,tc_Message_Omsg)),X1,tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_3 ),
inference(resolution,[],[f245,f7]) ).
fof(f525,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f254,f2]) ).
fof(f530,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f525]) ).
fof(f533,plain,
( ! [X0] : c_in(v_X,c_union(X0,c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_4 ),
inference(resolution,[],[f44,f6]) ).
fof(f538,plain,
( $false
| ~ spl0_4 ),
inference(resolution,[],[f533,f2]) ).
fof(f543,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f538]) ).
fof(f544,plain,
( c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_1 ),
inference(resolution,[],[f27,f3]) ).
fof(f549,plain,
( ! [X0] : c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),X0,tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_1 ),
inference(resolution,[],[f544,f7]) ).
fof(f569,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f549,f2]) ).
fof(f574,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f569]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f32]) ).
cnf(s2,plain,
( ~ spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f45]) ).
cnf(s3,plain,
~ spl0_3,
inference(sat_conversion,[],[f530]) ).
cnf(s4,plain,
~ spl0_4,
inference(sat_conversion,[],[f543]) ).
cnf(s5,plain,
~ spl0_1,
inference(sat_conversion,[],[f574]) ).
cnf(s6,plain,
~ spl0_2,
inference(rat,[],[s2,s4,s3]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s6,s5]) ).
fof(f575,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV245-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 % Computer : n018.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Mon Sep 28 10:19:28 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.26 Running first-order model finding
% 0.08/0.26 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
% 0.21/0.31 % (3281727)Will run a generic schedule for satisfiability detection.
% 0.21/0.31 % (3281737)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=616039787:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.31 % (3281733)% WARNING: option uhcvi not known.
% 0.21/0.31 % (3281732)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3912993497_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.31 % (3281737) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3281727-3281737"...
% 0.21/0.31 % (3281736)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3651087321:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.31 % (3281733)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4028424344:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.31 % (3281735)dis+10_1_sil=32000:sp=arity:random_seed=2265841329:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.31 % (3281734)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2148793960:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.31 % (3281738)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3611174064:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.31 % (3281737)...printing done.
% 0.21/0.31 % TRYING [1]
% 0.21/0.31 % (3281737)Refutation found. Thanks to Tanya!
% 0.21/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.31 % (3281737)------------------------------
% 0.21/0.31 % (3281737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.31 % (3281737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.31 % (3281737)CaDiCaL version: 2.1.3
% 0.21/0.31 % (3281737)Termination reason: Refutation
% 0.21/0.31 % (3281737)Time elapsed: 0.007 s
% 0.21/0.31 % (3281737)Peak memory usage: 12 MB
% 0.21/0.31 % (3281737)Instructions burned: 17 (million)
% 0.21/0.31 % (3281727)Success in time 0.04 s
% 0.21/0.31 % Vampire exiting
%------------------------------------------------------------------------------