%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV261-2 : 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 : n012.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 01:20:38 PM UTC 2026
% Result : Unsatisfiable 0.05s 0.21s
% Output : Refutation 0.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 16 unt; 2 def)
% Number of atoms : 66 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 29 ~; 25 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 46 ( 0 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_X,v_G,tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,axiom,
! [X0,X1] : c_lessequals(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__Un__subset2_0) ).
fof(f4,axiom,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__mono_0) ).
fof(f5,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(f6,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(f7,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_insert(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f8,axiom,
! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X3,X0,tc_set(X2))
| c_lessequals(X3,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).
fof(f11,plain,
c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f12,plain,
! [X0,X1] : ~ c_lessequals(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f13,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f14,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f16,plain,
! [X2,X3,X0,X1] :
( c_lessequals(X3,X0,tc_set(X2))
| c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2)) ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f21,plain,
! [X2,X0,X1] :
( c_lessequals(c_Message_Oparts(X0),X1,tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(X2),X1,tc_set(tc_Message_Omsg))
| c_lessequals(X2,X0,tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f16,f13]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Message_Oparts(X0),c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_set(tc_Message_Omsg))
| c_lessequals(X0,c_union(X1,X2,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f21,f12]) ).
fof(f43,plain,
c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(resolution,[],[f26,f11]) ).
fof(f49,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference(resolution,[],[f43,f15]) ).
fof(f50,plain,
c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference(resolution,[],[f43,f14]) ).
fof(f51,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),v_G,tc_Message_Omsg),
inference(resolution,[],[f49,f6]) ).
fof(f52,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg),
inference(resolution,[],[f49,f5]) ).
fof(f53,plain,
( c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)
| v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
inference(resolution,[],[f50,f7]) ).
fof(f55,definition,
( spl0_1
<=> v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f57,plain,
( v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f59,definition,
( spl0_2
<=> c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f61,plain,
( c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f53,f59,f55]) ).
fof(f63,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f61,f52]) ).
fof(f64,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f63]) ).
fof(f67,plain,
( ~ c_in(v_X,v_G,tc_Message_Omsg)
| ~ spl0_1 ),
inference(superposition,[],[f51,f57]) ).
fof(f69,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f67,f1]) ).
fof(f70,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f69]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f62]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f64]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f70]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f71,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV261-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.05/0.15 % Computer : n012.cluster.edu
% 0.05/0.15 % Model : x86_64 x86_64
% 0.05/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.15 % Memory : 8046.5625MB
% 0.05/0.15 % OS : Linux 6.8.0-71-generic
% 0.05/0.15 % CPULimit : 300
% 0.05/0.15 % WCLimit : 300
% 0.05/0.15 % DateTime : Mon Sep 28 10:19:49 UTC 2026
% 0.05/0.15 % CPUTime :
% 0.05/0.15 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.05/0.18 Running first-order model finding
% 0.05/0.18 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
% 0.05/0.21 % (3287157)Will run a generic schedule for satisfiability detection.
% 0.05/0.21 % (3287163)% WARNING: option uhcvi not known.
% 0.05/0.21 % (3287168)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3560349073:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.05/0.21 % (3287167)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3816097435:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.05/0.21 % (3287162)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2377954203_3000 on theBenchmark for (3000ds/0Mi)
% 0.05/0.21 % (3287164)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3771780247:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.05/0.21 % (3287166)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2413727543:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.05/0.21 % (3287163)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4196835725:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.05/0.21 % TRYING [1]
% 0.05/0.21 % (3287165)dis+10_1_sil=32000:sp=arity:random_seed=2016723824:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.05/0.21 % TRYING [2]
% 0.05/0.21 % (3287168) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3287157-3287168"...
% 0.05/0.21 % TRYING [3]
% 0.05/0.21 % (3287168)...printing done.
% 0.05/0.21 % (3287163) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3287157-3287163"...
% 0.05/0.21 % (3287165) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3287157-3287165"...
% 0.05/0.21 % (3287168)Refutation found. Thanks to Tanya!
% 0.05/0.21 % SZS status Unsatisfiable for theBenchmark
% 0.05/0.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.05/0.21 % (3287168)------------------------------
% 0.05/0.21 % (3287168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.05/0.21 % (3287168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.05/0.21 % (3287168)CaDiCaL version: 2.1.3
% 0.05/0.21 % (3287168)Termination reason: Refutation
% 0.05/0.21 % (3287168)Time elapsed: 0.003 s
% 0.05/0.21 % (3287168)Peak memory usage: 12 MB
% 0.05/0.21 % (3287168)Instructions burned: 4 (million)
% 0.05/0.21 % (3287157)Success in time 0.025 s
% 0.05/0.21 % Vampire exiting
%------------------------------------------------------------------------------