%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV277-2 : 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 : n008.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 01:08:38 PM UTC 2026
% Result : Unsatisfiable 2.57s 1.15s
% Output : Refutation 2.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-1 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__parts_0) ).
fof(f2,axiom,
! [X0,X1] :
( c_lessequals(c_Message_OkeysFor(X0),c_Message_OkeysFor(X1),tc_set(tc_nat))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OkeysFor__mono_0) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f4,negated_conjecture,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f5,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f6,plain,
! [X0] :
( ~ c_in(v_K,X0,tc_nat)
| ~ c_lessequals(X0,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_set(tc_nat)) ),
inference(resolution,[],[f3,f4]) ).
fof(f7,plain,
~ c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(v_H)),c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_set(tc_nat)),
inference(resolution,[],[f6,f5]) ).
fof(f9,plain,
~ c_lessequals(c_Message_Oanalz(v_H),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(resolution,[],[f7,f2]) ).
fof(f12,plain,
$false,
inference(resolution,[],[f9,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV277-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n008.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 10:24:25 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 2.57/1.15 % (2157203)Input is clausal, will run a generic CNF schedule.
% 2.57/1.15 % (2157214)dis-21_1_sil=8000:lcm=predicate:random_seed=3302712599: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)
% 2.57/1.15 % (2157214)First to succeed.
% 2.57/1.15 % (2157214)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2157203"
% 2.57/1.15 % (2157211)lrs+10_1_sil=8000:sp=occurrence:random_seed=2661850367:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.57/1.15 % (2157209)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=183770404:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.57/1.15 % (2157210)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=281029557:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.57/1.15 % (2157213)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1397366665:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.57/1.15 % (2157212)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2624438664:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.57/1.15 % (2157208)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=4103142476:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.57/1.15 % (2157211)Also succeeded, but the first one will report.
% 2.57/1.15 % (2157212)Also succeeded, but the first one will report.
% 2.57/1.15 % (2157213)Also succeeded, but the first one will report.
% 2.57/1.15 % (2157214)Refutation found. Thanks to Tanya!
% 2.57/1.15 % SZS status Unsatisfiable for theBenchmark
% 2.57/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.57/1.15 % (2157214)------------------------------
% 2.57/1.15 % (2157214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.57/1.15 % (2157214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/1.15 % (2157214)CaDiCaL version: 2.1.3
% 2.57/1.15 % (2157214)Termination reason: Refutation
% 2.57/1.15 % (2157214)Time elapsed: 0.001 s
% 2.57/1.15 % (2157214)Peak memory usage: 88 MB
% 2.57/1.15 % (2157214)------------------------------
% 2.57/1.15 % (2157214)------------------------------
% 2.57/1.15 % (2157203)Success in time 0.272 s
% 2.57/1.15 % Vampire exiting
%------------------------------------------------------------------------------