%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV242-1 : 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 : 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 01:20:33 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.36s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 10 unt; 2 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 17 ~; 16 |; 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 : 16 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1447,axiom,
! [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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).
fof(f1462,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(f1463,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(f1464,axiom,
! [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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).
fof(f1465,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(f1466,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(f1467,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(f1469,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(f1471,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,[],[f1469]) ).
fof(f1473,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(f1475,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,[],[f1473]) ).
fof(f1476,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1467,f1473,f1469]) ).
fof(f2491,plain,
! [X0] :
( ~ c_lessequals(c_Message_Oanalz(v_G_H),X0,tc_set(tc_Message_Omsg))
| c_lessequals(v_G,X0,tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f1464,f1465]) ).
fof(f2492,plain,
! [X0] :
( ~ c_lessequals(c_Message_Oanalz(v_H_H),X0,tc_set(tc_Message_Omsg))
| c_lessequals(v_H,X0,tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f1464,f1466]) ).
fof(f2507,plain,
! [X0] :
( c_lessequals(v_G,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G_H,X0,tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f2491,f1447]) ).
fof(f2527,plain,
( ~ c_lessequals(v_G_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(resolution,[],[f2507,f1471]) ).
fof(f2537,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f2527,f1462]) ).
fof(f2538,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f2537]) ).
fof(f2630,plain,
! [X0] :
( c_lessequals(v_H,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H_H,X0,tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f2492,f1447]) ).
fof(f2693,plain,
( ~ c_lessequals(v_H_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_2 ),
inference(resolution,[],[f2630,f1475]) ).
fof(f2700,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f2693,f1463]) ).
fof(f2701,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f2700]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1476]) ).
cnf(s16,plain,
spl0_1,
inference(sat_conversion,[],[f2538]) ).
cnf(s24,plain,
spl0_2,
inference(sat_conversion,[],[f2701]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s1,s24,s16]) ).
fof(f2704,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV242-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/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 10:19:29 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.25 Running first-order model finding
% 0.08/0.25 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
% 0.20/0.36 % (3281902)Will run a generic schedule for satisfiability detection.
% 0.20/0.36 % (3281912)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=574881592:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.36 % (3281908)% WARNING: option uhcvi not known.
% 0.20/0.36 % (3281907)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2982300684_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.36 % (3281908)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4026547626:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.36 % (3281909)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3028738861:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.36 % (3281910)dis+10_1_sil=32000:sp=arity:random_seed=346729671:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.36 % (3281911)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=370878731:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.36 % (3281913)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=117841399:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.36 % (3281912)Instruction limit reached!
% 0.20/0.36 % (3281912)------------------------------
% 0.20/0.36 % (3281912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (3281912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (3281912)CaDiCaL version: 2.1.3
% 0.20/0.36 % (3281912)Termination reason: Instruction limit
% 0.20/0.36 % (3281912)Termination phase: Saturation
% 0.20/0.36 % (3281912)Time elapsed: 0.042 s
% 0.20/0.36 % (3281912)Peak memory usage: 14 MB
% 0.20/0.36 % (3281912)Instructions burned: 135 (million)
% 0.20/0.36 % (3281910) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3281902-3281910"...
% 0.20/0.36 % (3281910)...printing done.
% 0.20/0.36 % (3281908) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3281902-3281908"...
% 0.20/0.36 % (3281910)Refutation found. Thanks to Tanya!
% 0.20/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.36 % (3281910)------------------------------
% 0.20/0.36 % (3281910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (3281910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (3281910)CaDiCaL version: 2.1.3
% 0.20/0.36 % (3281910)Termination reason: Refutation
% 0.20/0.36 % (3281910)Time elapsed: 0.041 s
% 0.20/0.36 % (3281910)Peak memory usage: 14 MB
% 0.20/0.36 % (3281910)Instructions burned: 59 (million)
% 0.20/0.36 % (3281902)Success in time 0.089 s
% 0.20/0.36 % Vampire exiting
%------------------------------------------------------------------------------