%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV283-2 : 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 : n004.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 01:08:40 PM UTC 2026
% Result : Unsatisfiable 3.37s 1.15s
% Output : Refutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 5 unt; 2 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 59 ( 28 ~; 29 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 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 : 25 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f2,axiom,
! [X2,X0,X1] :
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).
fof(f3,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,X2,tc_nat)
| ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).
fof(f4,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(f5,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(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/sandbox2/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(f15,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,[],[f1,f9]) ).
fof(f16,plain,
( ! [X0] :
( ~ c_lessequals(v_x,v_xd(X0),tc_nat)
| ~ c_lessequals(v_sko__upX(v_xc),v_xd(X0),tc_nat) )
| ~ spl0_1 ),
inference(resolution,[],[f15,f4]) ).
fof(f18,plain,
( ! [X0,X1] :
( ~ c_lessequals(v_sko__upX(v_xc),v_xd(X0),tc_nat)
| ~ c_lessequals(c_plus(v_x,X1,tc_nat),v_xd(X0),tc_nat) )
| ~ spl0_1 ),
inference(resolution,[],[f16,f3]) ).
fof(f24,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(c_plus(v_x,X0,tc_nat),v_xd(X1),tc_nat)
| ~ c_lessequals(c_plus(X2,v_sko__upX(v_xc),tc_nat),v_xd(X1),tc_nat) )
| ~ spl0_1 ),
inference(resolution,[],[f18,f2]) ).
fof(f44,plain,
( ! [X0] : ~ c_lessequals(c_plus(v_x,v_sko__upX(v_xc),tc_nat),v_xd(X0),tc_nat)
| ~ spl0_1 ),
inference(factoring,[],[f24]) ).
fof(f45,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f44,f13]) ).
fof(f48,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,[],[f48]) ).
cnf(s6,plain,
~ spl0_1,
inference(rat,[],[s5,s4]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s6]) ).
fof(f49,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV283-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n004.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 10:25:22 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running first-order theorem proving
% 0.10/0.21 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
% 3.37/1.15 % (268041)Input is clausal, will run a generic CNF schedule.
% 3.37/1.15 % (268047)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2935145032:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.37/1.15 % (268051)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2318760055:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.37/1.15 % (268051)First to succeed.
% 3.37/1.15 % (268051)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-268041"
% 3.37/1.15 % (268046)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=2219520845:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.37/1.15 % (268050)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1079360080:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.37/1.15 % (268049)lrs+10_1_sil=8000:sp=occurrence:random_seed=1176172139:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.37/1.15 % (268048)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2694481682:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.37/1.15 % (268050)Refutation not found, incomplete strategy
% 3.37/1.15 % (268050)------------------------------
% 3.37/1.15 % (268050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.15 % (268050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.15 % (268050)CaDiCaL version: 2.1.3
% 3.37/1.15 % (268050)Termination reason: Refutation not found, incomplete strategy
% 3.37/1.15 % (268050)Time elapsed: 0.001 s
% 3.37/1.15 % (268050)Peak memory usage: 87 MB
% 3.37/1.15 % (268049)Also succeeded, but the first one will report.
% 3.37/1.15 % (268052)dis-21_1_sil=8000:lcm=predicate:random_seed=106975608: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)
% 3.37/1.15 % (268052)Also succeeded, but the first one will report.
% 3.37/1.15 % (268051)Refutation found. Thanks to Tanya!
% 3.37/1.15 % SZS status Unsatisfiable for theBenchmark
% 3.37/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 3.37/1.15 % (268051)------------------------------
% 3.37/1.15 % (268051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.15 % (268051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.15 % (268051)CaDiCaL version: 2.1.3
% 3.37/1.15 % (268051)Termination reason: Refutation
% 3.37/1.15 % (268051)Time elapsed: 0.003 s
% 3.37/1.15 % (268051)Peak memory usage: 89 MB
% 3.37/1.15 % (268051)Instructions burned: 2 (million)
% 3.37/1.15 % (268051)------------------------------
% 3.37/1.15 % (268051)------------------------------
% 3.37/1.15 % (268041)Success in time 0.398 s
% 3.37/1.15 % Vampire exiting
%------------------------------------------------------------------------------