%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV283-2 : 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 0.25s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 5 unt; 2 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 51 ( 23 ~; 26 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ c_lessequals(v_sko__upX(X1),X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).
fof(f2,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(f3,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(f4,negated_conjecture,
! [X0] :
( ~ c_lessequals(v_x,X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_list),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( c_lessequals(X0,v_xd(X0),tc_nat)
| c_lessequals(X1,v_xd(X1),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f8,definition,
( spl0_1
<=> ! [X1] :
( c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f9,plain,
( ! [X1] :
( c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Event_Oused(v_list),tc_Message_Omsg) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f10,plain,
( spl0_1
| spl0_1 ),
inference(avatar_split_clause,[],[f6,f8,f8]) ).
fof(f12,definition,
( spl0_2
<=> ! [X1] : c_lessequals(X1,v_xd(X1),tc_nat) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f13,plain,
( ! [X1] : c_lessequals(X1,v_xd(X1),tc_nat)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f14,plain,
( spl0_2
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f12,f12]) ).
fof(f16,plain,
( ! [X0,X1] : c_lessequals(X0,v_xd(c_plus(X1,X0,tc_nat)),tc_nat)
| ~ spl0_2 ),
inference(resolution,[],[f2,f13]) ).
fof(f17,plain,
( ! [X0,X1] : c_lessequals(X0,v_xd(c_plus(X0,X1,tc_nat)),tc_nat)
| ~ spl0_2 ),
inference(resolution,[],[f3,f13]) ).
fof(f22,plain,
( ! [X0,X1] : ~ c_in(c_Message_Omsg_ONonce(v_xd(c_plus(X0,v_sko__upX(X1),tc_nat))),c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_2 ),
inference(resolution,[],[f1,f16]) ).
fof(f23,plain,
( ! [X0] : ~ c_in(c_Message_Omsg_ONonce(v_xd(c_plus(v_x,X0,tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ spl0_2 ),
inference(resolution,[],[f17,f4]) ).
fof(f44,plain,
( ! [X0] : c_in(c_Message_Omsg_ONonce(v_xd(c_plus(X0,v_sko__upX(v_xc),tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f22,f9]) ).
fof(f45,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f44,f23]) ).
fof(f46,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f45]) ).
cnf(s1,plain,
( spl0_1
| spl0_1 ),
inference(sat_conversion,[],[f10]) ).
cnf(s2,plain,
spl0_1,
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_2
| spl0_2 ),
inference(sat_conversion,[],[f14]) ).
cnf(s4,plain,
spl0_2,
inference(rat,[],[s3]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f46]) ).
cnf(s6,plain,
~ spl0_1,
inference(rat,[],[s5,s4]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s6]) ).
fof(f47,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV283-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.17 % Computer : n002.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 10:28:07 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 Running first-order model finding
% 0.10/0.20 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
% 0.10/0.25 % (260706)Will run a generic schedule for satisfiability detection.
% 0.10/0.25 % (260711)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3572053304_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.25 % TRYING [1]
% 0.10/0.25 % TRYING [2]
% 0.10/0.25 % TRYING [3]
% 0.10/0.25 % (260712)% WARNING: option uhcvi not known.
% 0.10/0.25 % TRYING [4]
% 0.10/0.25 % (260715)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2054857404:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.25 % (260714)dis+10_1_sil=32000:sp=arity:random_seed=1249004065:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.25 % (260713)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2437030123:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.25 % (260716)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1537195227:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.25 % (260717)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2482986875:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.25 % (260714) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-260706-260714"...
% 0.10/0.25 % (260715) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-260706-260715"...
% 0.10/0.25 % (260712)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=906655530:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.25 % (260716) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-260706-260716"...
% 0.10/0.25 % (260714)...printing done.
% 0.10/0.25 % (260715)...printing done.
% 0.10/0.25 % (260716)...printing done.
% 0.10/0.25 % (260716)Refutation found. Thanks to Tanya!
% 0.10/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.25 % (260716)------------------------------
% 0.10/0.25 % (260716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.25 % (260716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.25 % (260716)CaDiCaL version: 2.1.3
% 0.10/0.25 % (260716)Termination reason: Refutation
% 0.10/0.25 % (260716)Time elapsed: 0.002 s
% 0.10/0.25 % (260716)Peak memory usage: 11 MB
% 0.10/0.25 % (260716)Instructions burned: 1 (million)
% 0.10/0.25 % (260706)Success in time 0.035 s
% 0.10/0.25 % Vampire exiting
%------------------------------------------------------------------------------