%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV260-2 : 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 : n004.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 0.20s 0.32s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 60 ( 15 unt; 3 def)
% Number of atoms : 119 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 104 ( 45 ~; 56 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 66 ( 0 sgn 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
~ c_in(v_Y,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,axiom,
! [X0,X1] :
( ~ c_in(X0,X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f5,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(f6,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(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,X0,X1] :
( ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__trans_0) ).
fof(f11,plain,
~ c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f12,plain,
~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f13,plain,
c_in(v_Y,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f14,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,X1,tc_Message_Omsg) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f15,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_union(X3,X1,X2),X2)
| c_in(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f16,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_union(X1,X3,X2),X2)
| c_in(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f17,plain,
! [X2,X3,X0,X1] :
( c_in(X0,c_insert(X1,X2,X3),X3)
| ~ c_in(X0,X2,X3)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f19,plain,
! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f20,plain,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f24,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(X1),tc_Message_Omsg),X1,tc_Message_Omsg) ),
inference(resolution,[],[f19,f14]) ).
fof(f29,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
| c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2) = X0
| ~ c_in(c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2),X1,X2) ),
inference(resolution,[],[f17,f18]) ).
fof(f30,plain,
! [X0] :
( c_lessequals(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| c_in(v_Y,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[],[f20,f13]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X2,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(X2,c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(X0),tc_Message_Omsg)
| c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f20,f19]) ).
fof(f35,plain,
! [X0] :
( c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| c_in(v_Y,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[],[f24,f30]) ).
fof(f42,plain,
! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),X1,tc_Message_Omsg)
| c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) = X0
| c_in(v_Y,c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f29,f30]) ).
fof(f44,plain,
! [X0] :
( c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_G,tc_Message_Omsg)
| c_in(v_Y,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[],[f35,f16]) ).
fof(f63,plain,
! [X0] :
( c_in(v_Y,c_Message_Oparts(c_insert(X0,v_G,tc_Message_Omsg)),tc_Message_Omsg)
| c_Main_OsubsetI__1(c_insert(X0,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) = X0
| c_in(v_Y,c_Message_Oparts(c_insert(X0,v_G,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f44,f42]) ).
fof(f64,plain,
! [X0] :
( c_in(v_Y,c_Message_Oparts(c_insert(X0,v_G,tc_Message_Omsg)),tc_Message_Omsg)
| c_Main_OsubsetI__1(c_insert(X0,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) = X0 ),
inference(duplicate_literal_removal,[],[f63]) ).
fof(f140,plain,
v_X = c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[],[f64,f11]) ).
fof(f251,definition,
( spl0_1
<=> c_lessequals(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f252,plain,
( c_lessequals(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f253,plain,
( ~ c_lessequals(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f279,definition,
( spl0_6
<=> ! [X0] :
( c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg)
| c_lessequals(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f280,plain,
( ! [X0] :
( c_lessequals(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f318,plain,
( c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_1 ),
inference(resolution,[],[f253,f30]) ).
fof(f333,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f318,f11]) ).
fof(f334,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f333]) ).
fof(f434,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(X0),tc_Message_Omsg)
| c_lessequals(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
| ~ spl0_1 ),
inference(resolution,[],[f252,f31]) ).
fof(f437,plain,
( ! [X0] :
( c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg)
| c_lessequals(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f434,f140]) ).
fof(f438,plain,
( spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f437,f251,f279]) ).
fof(f677,definition,
( spl0_14
<=> c_lessequals(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f678,plain,
( ~ c_lessequals(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| spl0_14 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f679,plain,
( c_lessequals(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f774,plain,
( c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_14 ),
inference(resolution,[],[f679,f24]) ).
fof(f1116,plain,
( c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_H,tc_Message_Omsg)
| ~ spl0_14 ),
inference(resolution,[],[f774,f15]) ).
fof(f1165,plain,
( ~ c_lessequals(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ spl0_14 ),
inference(resolution,[],[f1116,f18]) ).
fof(f1166,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1165,f679]) ).
fof(f1167,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f1166]) ).
fof(f1179,plain,
( c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ spl0_6
| spl0_14 ),
inference(resolution,[],[f678,f280]) ).
fof(f1183,plain,
( $false
| ~ spl0_6
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f1179,f12]) ).
fof(f1184,plain,
( ~ spl0_6
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f1183]) ).
cnf(s9,plain,
spl0_1,
inference(sat_conversion,[],[f334]) ).
cnf(s13,plain,
( ~ spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f438]) ).
cnf(s19,plain,
~ spl0_14,
inference(sat_conversion,[],[f1167]) ).
cnf(s20,plain,
( ~ spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f1184]) ).
cnf(s21,plain,
~ spl0_6,
inference(rat,[],[s20,s19]) ).
cnf(s26,plain,
~ spl0_1,
inference(rat,[],[s13,s21]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s9,s26]) ).
fof(f1185,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV260-2 : 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 : n004.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
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 10:19:52 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
% 0.20/0.32 % (264112)Will run a generic schedule for satisfiability detection.
% 0.20/0.32 % (264117)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3802370693_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.32 % TRYING [1]
% 0.20/0.32 % TRYING [2]
% 0.20/0.32 % TRYING [3]
% 0.20/0.32 % TRYING [4]
% 0.20/0.32 % (264118)% WARNING: option uhcvi not known.
% 0.20/0.32 % (264118)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4271360924:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.32 % (264120)dis+10_1_sil=32000:sp=arity:random_seed=3466938984:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.32 % (264119)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2524298987:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.32 % (264121)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2415714897:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.32 % (264123)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2935594232:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.32 % (264122)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1472984201:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.32 % TRYING [5]
% 0.20/0.32 % TRYING [6]
% 0.20/0.32 % (264118) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-264112-264118"...
% 0.20/0.32 % (264118)...printing done.
% 0.20/0.32 % (264118)Refutation found. Thanks to Tanya!
% 0.20/0.32 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.32 % (264118)------------------------------
% 0.20/0.32 % (264118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (264118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (264118)CaDiCaL version: 2.1.3
% 0.20/0.32 % (264118)Termination reason: Refutation
% 0.20/0.32 % (264118)Time elapsed: 0.054 s
% 0.20/0.32 % (264118)Peak memory usage: 12 MB
% 0.20/0.32 % (264118)Instructions burned: 88 (million)
% 0.20/0.32 % (264112)Success in time 0.087 s
% 0.20/0.32 % Vampire exiting
%------------------------------------------------------------------------------