%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV248-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 01:08:30 PM UTC 2026
% Result : Unsatisfiable 2.58s 0.82s
% Output : Refutation 2.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 10 unt; 4 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 75 ( 34 ~; 37 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ c_lessequals(c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
fof(f3,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(f4,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__least_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/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f9,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f12,plain,
( ~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f7,f1]) ).
fof(f14,definition,
( spl0_1
<=> c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f16,plain,
( ~ c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f18,definition,
( spl0_2
<=> c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f20,plain,
( ~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| spl0_2 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f21,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f12,f18,f14]) ).
fof(f22,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_1 ),
inference(resolution,[],[f16,f9]) ).
fof(f23,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg)
| spl0_1 ),
inference(resolution,[],[f22,f2]) ).
fof(f24,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_G),tc_Message_Omsg)
| spl0_1 ),
inference(resolution,[],[f23,f6]) ).
fof(f28,plain,
( c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(resolution,[],[f24,f8]) ).
fof(f30,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f28,f16]) ).
fof(f31,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f30]) ).
fof(f32,plain,
( ~ c_lessequals(c_union(v_G,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_2 ),
inference(resolution,[],[f20,f3]) ).
fof(f34,plain,
( ~ c_lessequals(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_2 ),
inference(resolution,[],[f32,f7]) ).
fof(f37,definition,
( spl0_3
<=> c_lessequals(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f39,plain,
( ~ c_lessequals(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f41,definition,
( spl0_4
<=> c_lessequals(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f43,plain,
( ~ c_lessequals(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_4 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f44,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f34,f18,f41,f37]) ).
fof(f45,plain,
( ~ c_in(c_Main_OsubsetI__1(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg)
| spl0_3 ),
inference(resolution,[],[f39,f9]) ).
fof(f48,plain,
( ~ c_in(c_Main_OsubsetI__1(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)
| spl0_3 ),
inference(resolution,[],[f45,f5]) ).
fof(f51,plain,
( c_lessequals(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_3 ),
inference(resolution,[],[f48,f8]) ).
fof(f52,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f51,f39]) ).
fof(f53,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f52]) ).
fof(f54,plain,
( ~ c_in(c_Main_OsubsetI__1(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg)
| spl0_4 ),
inference(resolution,[],[f43,f9]) ).
fof(f59,plain,
( ~ c_in(c_Main_OsubsetI__1(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(v_G),tc_Message_Omsg)
| spl0_4 ),
inference(resolution,[],[f54,f6]) ).
fof(f61,plain,
( ~ c_in(c_Main_OsubsetI__1(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),v_G,tc_Message_Omsg)
| spl0_4 ),
inference(resolution,[],[f59,f4]) ).
fof(f63,plain,
( c_lessequals(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_4 ),
inference(resolution,[],[f61,f8]) ).
fof(f64,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f63,f43]) ).
fof(f65,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f64]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f21]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f31]) ).
cnf(s3,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f44]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f53]) ).
cnf(s5,plain,
spl0_4,
inference(sat_conversion,[],[f65]) ).
cnf(s6,plain,
spl0_2,
inference(rat,[],[s3,s5,s4]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s6,s2]) ).
fof(f66,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV248-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n017.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 10:13:06 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running first-order theorem proving
% 0.07/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.58/0.82 % (3452553)Input is clausal, will run a generic CNF schedule.
% 2.58/0.82 % (3452563)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2879943040:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.58/0.82 % (3452563)First to succeed.
% 2.58/0.82 % (3452563)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3452553"
% 2.58/0.82 % (3452558)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1989035307:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.58/0.82 % (3452561)lrs+10_1_sil=8000:sp=occurrence:random_seed=637557073:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.58/0.82 % (3452559)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=87906726:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.58/0.82 % (3452564)dis-21_1_sil=8000:lcm=predicate:random_seed=1279567669:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.58/0.82 % (3452562)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2807096845:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.58/0.82 % (3452560)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2368529272:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.58/0.82 % (3452562)Refutation not found, incomplete strategy
% 2.58/0.82 % (3452562)------------------------------
% 2.58/0.82 % (3452562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/0.82 % (3452562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.82 % (3452562)CaDiCaL version: 2.1.3
% 2.58/0.82 % (3452562)Termination reason: Refutation not found, incomplete strategy
% 2.58/0.82 % (3452562)Time elapsed: 0.001 s
% 2.58/0.82 % (3452562)Peak memory usage: 88 MB
% 2.58/0.82 % (3452564)Also succeeded, but the first one will report.
% 2.58/0.82 % (3452561)Also succeeded, but the first one will report.
% 2.58/0.82 % (3452563)Refutation found. Thanks to Tanya!
% 2.58/0.82 % SZS status Unsatisfiable for theBenchmark
% 2.58/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 2.58/0.82 % (3452563)------------------------------
% 2.58/0.82 % (3452563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/0.82 % (3452563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.82 % (3452563)CaDiCaL version: 2.1.3
% 2.58/0.82 % (3452563)Termination reason: Refutation
% 2.58/0.82 % (3452563)Time elapsed: 0.002 s
% 2.58/0.82 % (3452563)Peak memory usage: 89 MB
% 2.58/0.82 % (3452563)Instructions burned: 3 (million)
% 2.58/0.82 % (3452563)------------------------------
% 2.58/0.82 % (3452563)------------------------------
% 2.58/0.82 % (3452553)Success in time 0.321 s
% 2.58/0.82 % Vampire exiting
%------------------------------------------------------------------------------