%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV283-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 01:20:44 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.35s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 5 unt; 2 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 55 ( 25 ~; 28 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 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 : 24 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1523,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/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).
fof(f1524,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).
fof(f1525,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
| c_lessequals(X0,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).
fof(f1555,negated_conjecture,
! [X0] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_x,X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1559,negated_conjecture,
! [X0,X1] :
( c_lessequals(X0,v_xd(X0),tc_nat)
| c_lessequals(X1,v_xd(X1),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1564,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f1585,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(f1586,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,[],[f1585]) ).
fof(f1587,plain,
( spl0_1
| spl0_1 ),
inference(avatar_split_clause,[],[f1564,f1585,f1585]) ).
fof(f1589,definition,
( spl0_2
<=> ! [X0] : c_lessequals(X0,v_xd(X0),tc_nat) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1590,plain,
( ! [X0] : c_lessequals(X0,v_xd(X0),tc_nat)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f1603,plain,
( spl0_2
| spl0_2 ),
inference(avatar_split_clause,[],[f1559,f1589,f1589]) ).
fof(f2045,plain,
( ! [X0,X1] : c_lessequals(X0,v_xd(c_plus(X1,X0,tc_nat)),tc_nat)
| ~ spl0_2 ),
inference(resolution,[],[f1524,f1590]) ).
fof(f2049,plain,
( ! [X0,X1] : c_lessequals(X0,v_xd(c_plus(X0,X1,tc_nat)),tc_nat)
| ~ spl0_2 ),
inference(resolution,[],[f1525,f1590]) ).
fof(f2447,plain,
( ! [X0] :
( c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(v_xc),v_xd(X0),tc_nat) )
| ~ spl0_1 ),
inference(resolution,[],[f1523,f1586]) ).
fof(f2449,plain,
( ! [X0] :
( ~ c_lessequals(v_sko__upX(v_xc),v_xd(X0),tc_nat)
| ~ c_lessequals(v_x,v_xd(X0),tc_nat) )
| ~ spl0_1 ),
inference(resolution,[],[f2447,f1555]) ).
fof(f2451,plain,
( ! [X0] : ~ c_lessequals(v_x,v_xd(c_plus(X0,v_sko__upX(v_xc),tc_nat)),tc_nat)
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f2449,f2045]) ).
fof(f2526,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f2451,f2049]) ).
fof(f2587,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f2526]) ).
cnf(s1,plain,
( spl0_1
| spl0_1 ),
inference(sat_conversion,[],[f1587]) ).
cnf(s2,plain,
spl0_1,
inference(rat,[],[s1]) ).
cnf(s7,plain,
( spl0_2
| spl0_2 ),
inference(sat_conversion,[],[f1603]) ).
cnf(s8,plain,
spl0_2,
inference(rat,[],[s7]) ).
cnf(s42,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f2587]) ).
cnf(s43,plain,
~ spl0_1,
inference(rat,[],[s42,s8]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s2,s43]) ).
fof(f2588,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV283-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 10:20:51 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.35 % (3459122)Will run a generic schedule for satisfiability detection.
% 0.21/0.35 % (3459127)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3493045109_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.35 % (3459128)% WARNING: option uhcvi not known.
% 0.21/0.35 % (3459128)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1574213573:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.35 % (3459129)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2958417743:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.35 % (3459130)dis+10_1_sil=32000:sp=arity:random_seed=1962311866:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.35 % (3459131)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1757051118:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.35 % (3459132)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1877615499:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.35 % (3459133)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3727802953:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.35 % TRYING [1]
% 0.21/0.35 % TRYING [2]
% 0.21/0.35 % (3459130) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3459122-3459130"...
% 0.21/0.35 % (3459130)...printing done.
% 0.21/0.35 % (3459130)Refutation found. Thanks to Tanya!
% 0.21/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.35 % (3459130)------------------------------
% 0.21/0.35 % (3459130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (3459130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (3459130)CaDiCaL version: 2.1.3
% 0.21/0.35 % (3459130)Termination reason: Refutation
% 0.21/0.35 % (3459130)Time elapsed: 0.044 s
% 0.21/0.35 % (3459130)Peak memory usage: 14 MB
% 0.21/0.35 % (3459130)Instructions burned: 68 (million)
% 0.21/0.35 % (3459122)Success in time 0.114 s
% 0.21/0.35 % Vampire exiting
%------------------------------------------------------------------------------