%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV242-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 01:08:28 PM UTC 2026
% Result : Unsatisfiable 3.76s 1.21s
% Output : Refutation 3.76s
% 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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(f1543,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(f1544,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(f1620,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,[],[f1543,f1447]) ).
fof(f1634,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,[],[f1620,f1471]) ).
fof(f1640,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f1634,f1462]) ).
fof(f1641,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f1640]) ).
fof(f1688,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,[],[f1544,f1447]) ).
fof(f1721,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,[],[f1688,f1475]) ).
fof(f1729,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f1721,f1463]) ).
fof(f1730,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f1729]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1476]) ).
cnf(s7,plain,
spl0_1,
inference(sat_conversion,[],[f1641]) ).
cnf(s14,plain,
spl0_2,
inference(sat_conversion,[],[f1730]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s1,s14,s7]) ).
fof(f1733,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV242-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n011.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 10:15:15 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.76/1.21 % (3300975)Input is clausal, will run a generic CNF schedule.
% 3.76/1.21 % (3300980)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=1876307691:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.76/1.21 % (3300981)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1643548353:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.76/1.21 % (3300982)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=489158460:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.76/1.21 % (3300985)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=56079447:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.76/1.21 % (3300984)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2788325559:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.76/1.21 % (3300983)lrs+10_1_sil=8000:sp=occurrence:random_seed=1515454063:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.76/1.21 % (3300986)dis-21_1_sil=8000:lcm=predicate:random_seed=1491466977: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)
% 3.76/1.21 % (3300983)First to succeed.
% 3.76/1.21 % (3300983)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3300975"
% 3.76/1.21 % (3300986)Also succeeded, but the first one will report.
% 3.76/1.21 % (3300984)Also succeeded, but the first one will report.
% 3.76/1.21 % (3300985)Also succeeded, but the first one will report.
% 3.76/1.21 % (3300983)Refutation found. Thanks to Tanya!
% 3.76/1.21 % SZS status Unsatisfiable for theBenchmark
% 3.76/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 3.76/1.21 % (3300983)------------------------------
% 3.76/1.21 % (3300983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.21 % (3300983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.21 % (3300983)CaDiCaL version: 2.1.3
% 3.76/1.21 % (3300983)Termination reason: Refutation
% 3.76/1.21 % (3300983)Time elapsed: 0.011 s
% 3.76/1.21 % (3300983)Peak memory usage: 90 MB
% 3.76/1.21 % (3300983)Instructions burned: 13 (million)
% 3.76/1.21 % (3300983)------------------------------
% 3.76/1.21 % (3300983)------------------------------
% 3.76/1.21 % (3300975)Success in time 0.477 s
% 3.76/1.21 % Vampire exiting
%------------------------------------------------------------------------------