%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV242-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 01:20:33 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.29s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 14 unt; 2 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 25 ~; 24 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,axiom,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).
fof(f5,axiom,
! [X2,X0,X1] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__upper1_0) ).
fof(f6,axiom,
! [X2,X0,X1] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__upper2_0) ).
fof(f7,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/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).
fof(f8,plain,
~ c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f9,plain,
~ c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f10,plain,
( c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f11,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f12,plain,
! [X2,X0,X1] : ~ c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f13,plain,
! [X2,X0,X1] : ~ c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f14,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,X1,tc_set(X2))
| c_lessequals(X3,X0,tc_set(X2))
| c_lessequals(X0,X1,tc_set(X2)) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f16,definition,
( spl0_1
<=> c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f18,plain,
( c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f20,definition,
( spl0_2
<=> c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f22,plain,
( c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f23,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f20,f16]) ).
fof(f24,plain,
( ! [X0] :
( c_lessequals(X0,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| c_lessequals(v_H,X0,tc_set(tc_Message_Omsg)) )
| ~ spl0_2 ),
inference(resolution,[],[f14,f22]) ).
fof(f25,plain,
( ! [X0] :
( c_lessequals(X0,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| c_lessequals(v_H,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)) )
| ~ spl0_2 ),
inference(resolution,[],[f24,f11]) ).
fof(f28,plain,
( c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg))
| ~ spl0_2 ),
inference(resolution,[],[f25,f13]) ).
fof(f30,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f28,f9]) ).
fof(f31,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f30]) ).
fof(f32,plain,
( ! [X0] :
( c_lessequals(X0,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| c_lessequals(v_G,X0,tc_set(tc_Message_Omsg)) )
| ~ spl0_1 ),
inference(resolution,[],[f18,f14]) ).
fof(f34,plain,
( ! [X0] :
( c_lessequals(X0,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| c_lessequals(v_G,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)) )
| ~ spl0_1 ),
inference(resolution,[],[f32,f11]) ).
fof(f39,plain,
( c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg))
| ~ spl0_1 ),
inference(resolution,[],[f34,f12]) ).
fof(f42,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f39,f8]) ).
fof(f43,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f42]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f23]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f31]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f43]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f44,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV242-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 % Computer : n007.cluster.edu
% 0.07/0.21 % Model : x86_64 x86_64
% 0.07/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.21 % Memory : 8046.5625MB
% 0.07/0.21 % OS : Linux 6.8.0-71-generic
% 0.07/0.21 % CPULimit : 300
% 0.07/0.21 % WCLimit : 300
% 0.07/0.21 % DateTime : Mon Sep 28 10:15:15 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.24 Running first-order model finding
% 0.07/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.29 % (2301990)Will run a generic schedule for satisfiability detection.
% 0.19/0.29 % (2301995)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3592724628_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29 % TRYING [1]
% 0.19/0.29 % TRYING [2]
% 0.19/0.29 % TRYING [3]
% 0.19/0.29 % TRYING [4]
% 0.19/0.29 % (2301996)% WARNING: option uhcvi not known.
% 0.19/0.29 % (2301996)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2819274103:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29 % (2301997)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2607399272:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29 % (2301998)dis+10_1_sil=32000:sp=arity:random_seed=2396696679:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29 % (2301999)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3952203075:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29 % (2302000)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1992256055:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29 % (2302001)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=646112838:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29 % (2301996) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2301990-2301996"...
% 0.19/0.29 % (2301998) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2301990-2301998"...
% 0.19/0.29 % (2302001) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2301990-2302001"...
% 0.19/0.29 % (2301999) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2301990-2301999"...
% 0.19/0.29 % (2301997) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2301990-2301997"...
% 0.19/0.29 % (2301996)...printing done.
% 0.19/0.29 % (2301998)...printing done.
% 0.19/0.29 % (2302001)...printing done.
% 0.19/0.29 % (2301996)Refutation found. Thanks to Tanya!
% 0.19/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29 % (2301996)------------------------------
% 0.19/0.29 % (2301996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (2301996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (2301996)CaDiCaL version: 2.1.3
% 0.19/0.29 % (2301996)Termination reason: Refutation
% 0.19/0.29 % (2301996)Time elapsed: 0.002 s
% 0.19/0.29 % (2301996)Peak memory usage: 12 MB
% 0.19/0.29 % (2301996)Instructions burned: 1 (million)
% 0.19/0.29 % (2301990)Success in time 0.038 s
% 0.19/0.29 % Vampire exiting
%------------------------------------------------------------------------------