%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV274-2 : 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 01:20:41 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.28s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 8 unt; 2 def)
% Number of atoms : 64 ( 7 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 53 ( 21 ~; 30 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ c_in(X0,X1,tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
| ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth__trans_0) ).
fof(f3,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(f4,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f5,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(f6,negated_conjecture,
c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f7,negated_conjecture,
c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f8,negated_conjecture,
~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Main_OsubsetI__1(X1,c_Message_Osynth(X2),tc_Message_Omsg),X1,tc_Message_Omsg) ),
inference(resolution,[],[f2,f4]) ).
fof(f22,plain,
! [X0] :
( c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(X0),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)
| c_in(v_Y,c_Message_Osynth(X0),tc_Message_Omsg) ),
inference(resolution,[],[f15,f6]) ).
fof(f35,plain,
! [X0] :
( c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(X0),tc_Message_Omsg),v_H,tc_Message_Omsg)
| c_in(v_Y,c_Message_Osynth(X0),tc_Message_Omsg)
| v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(X0),tc_Message_Omsg) ),
inference(resolution,[],[f22,f3]) ).
fof(f80,plain,
! [X0] :
( c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(X0),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)
| v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(X0),tc_Message_Omsg)
| c_in(v_Y,c_Message_Osynth(X0),tc_Message_Omsg) ),
inference(resolution,[],[f35,f1]) ).
fof(f169,plain,
( v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)
| c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg)
| c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f80,f5]) ).
fof(f170,plain,
( v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)
| c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg)) ),
inference(forward_subsumption_resolution,[],[f169,f8]) ).
fof(f172,definition,
( spl0_1
<=> c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f174,plain,
( c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f176,definition,
( spl0_2
<=> v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f178,plain,
( v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f179,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f170,f176,f172]) ).
fof(f183,plain,
( ~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
| c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg))
| ~ spl0_2 ),
inference(superposition,[],[f5,f178]) ).
fof(f184,plain,
( c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg))
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f183,f7]) ).
fof(f188,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f184,f176,f172]) ).
fof(f214,plain,
( ! [X0] :
( ~ c_in(X0,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(v_H),tc_Message_Omsg) )
| ~ spl0_1 ),
inference(resolution,[],[f174,f2]) ).
fof(f254,plain,
( c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ spl0_1 ),
inference(resolution,[],[f214,f6]) ).
fof(f341,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f254,f8]) ).
fof(f342,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f341]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f179]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f188]) ).
cnf(s16,plain,
~ spl0_1,
inference(sat_conversion,[],[f342]) ).
cnf(s17,plain,
~ spl0_2,
inference(rat,[],[s2,s16]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s1,s17,s16]) ).
fof(f343,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV274-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n020.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 10:23:49 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.19/0.27 % (81008)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (81018)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3609559205:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (81014)% WARNING: option uhcvi not known.
% 0.19/0.27 % (81017)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=462955189:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (81013)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3730807465_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % (81014)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2273188095:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (81015)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3798847821:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (81016)dis+10_1_sil=32000:sp=arity:random_seed=1167683865:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (81018) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-81008-81018"...
% 0.19/0.28 % (81019)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2212588039:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.28 % (81018)...printing done.
% 0.19/0.28 % TRYING [1]
% 0.19/0.28 % TRYING [2]
% 0.19/0.28 % (81018)Refutation found. Thanks to Tanya!
% 0.19/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.28 % (81018)------------------------------
% 0.19/0.28 % (81018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (81018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (81018)CaDiCaL version: 2.1.3
% 0.19/0.28 % (81018)Termination reason: Refutation
% 0.19/0.28 % (81018)Time elapsed: 0.008 s
% 0.19/0.28 % (81018)Peak memory usage: 12 MB
% 0.19/0.28 % (81018)Instructions burned: 23 (million)
% 0.19/0.28 % (81008)Success in time 0.039 s
% 0.19/0.28 % Vampire exiting
%------------------------------------------------------------------------------