%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV284-2 : 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 : n002.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 01:20:44 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.24s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : c_lessequals(X0,v_x(X0),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
! [X0] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_N,X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
! [X0] :
( c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Event_Oused(v_list),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,axiom,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(X1),X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
| c_lessequals(X0,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).
fof(f7,plain,
! [X0,X1] : c_lessequals(X0,v_x(c_plus(X1,X0,tc_nat)),tc_nat),
inference(resolution,[],[f5,f1]) ).
fof(f9,plain,
! [X0,X1] : c_lessequals(X0,v_x(c_plus(X0,X1,tc_nat)),tc_nat),
inference(resolution,[],[f6,f1]) ).
fof(f12,plain,
! [X2,X0,X1] : c_lessequals(X0,v_x(c_plus(c_plus(X1,X0,tc_nat),X2,tc_nat)),tc_nat),
inference(resolution,[],[f9,f5]) ).
fof(f13,plain,
! [X0] :
( ~ c_lessequals(v_sko__upX(v_msg),v_x(X0),tc_nat)
| c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(resolution,[],[f4,f3]) ).
fof(f17,plain,
! [X0] : c_in(c_Message_Omsg_ONonce(v_x(c_plus(X0,v_sko__upX(v_msg),tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg),
inference(resolution,[],[f13,f7]) ).
fof(f30,plain,
! [X0] : ~ c_lessequals(v_N,v_x(c_plus(X0,v_sko__upX(v_msg),tc_nat)),tc_nat),
inference(resolution,[],[f17,f2]) ).
fof(f33,plain,
$false,
inference(resolution,[],[f30,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV284-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.16 % Computer : n002.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Mon Sep 28 10:27:52 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 Running first-order model finding
% 0.10/0.19 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
% 0.10/0.24 % (260293)Will run a generic schedule for satisfiability detection.
% 0.10/0.24 % (260299)% WARNING: option uhcvi not known.
% 0.10/0.24 % (260303)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3653452843:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.24 % (260300)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1503815972:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.24 % (260298)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2838847704_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.24 % (260299)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=45463511:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.24 % (260301)dis+10_1_sil=32000:sp=arity:random_seed=632134565:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.24 % (260302)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=101062425:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.24 % (260304)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3939745499:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.24 % (260303) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-260293-260303"...
% 0.10/0.24 % (260301) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-260293-260301"...
% 0.10/0.24 % (260302) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-260293-260302"...
% 0.10/0.24 % (260299) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-260293-260299"...
% 0.10/0.24 % TRYING [1]
% 0.10/0.24 % TRYING [2]
% 0.10/0.24 % (260303)...printing done.
% 0.10/0.24 % (260301)...printing done.
% 0.10/0.24 % TRYING [3]
% 0.10/0.24 % (260302)...printing done.
% 0.10/0.24 % (260299)...printing done.
% 0.10/0.24 % (260303)Refutation found. Thanks to Tanya!
% 0.10/0.24 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.24 % (260303)------------------------------
% 0.10/0.24 % (260303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.24 % (260303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.24 % (260303)CaDiCaL version: 2.1.3
% 0.10/0.24 % (260303)Termination reason: Refutation
% 0.10/0.24 % (260303)Time elapsed: 0.001 s
% 0.10/0.24 % (260303)Peak memory usage: 11 MB
% 0.10/0.24 % (260303)Instructions burned: 1 (million)
% 0.10/0.24 % (260293)Success in time 0.035 s
% 0.10/0.24 % Vampire exiting
%------------------------------------------------------------------------------