%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN261-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:50:02 PM UTC 2026
% Result : Unsatisfiable 2.49s 1.11s
% Output : Refutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 9 unt; 2 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f110,axiom,
! [X0,X1] :
( p1(X0,X0,X0)
| ~ s0(X1)
| ~ s0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_072) ).
fof(f369,negated_conjecture,
! [X0] : ~ p1(b,X0,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f726,definition,
( spl0_102
<=> ! [X3] : ~ s0(X3) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f727,plain,
( ! [X3] : ~ s0(X3)
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f1121,definition,
( spl0_214
<=> ! [X0] :
( p1(X0,X0,X0)
| ~ s0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).
fof(f1122,plain,
( ! [X0] :
( ~ s0(X0)
| p1(X0,X0,X0) )
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1123,plain,
( spl0_102
| spl0_214 ),
inference(avatar_split_clause,[],[f110,f1121,f726]) ).
fof(f1411,plain,
( $false
| ~ spl0_102 ),
inference(resolution,[],[f727,f1]) ).
fof(f1412,plain,
~ spl0_102,
inference(avatar_contradiction_clause,[],[f1411]) ).
fof(f1444,plain,
( p1(b,b,b)
| ~ spl0_214 ),
inference(resolution,[],[f1122,f5]) ).
fof(f1450,plain,
( $false
| ~ spl0_214 ),
inference(resolution,[],[f1444,f369]) ).
fof(f1451,plain,
~ spl0_214,
inference(avatar_contradiction_clause,[],[f1450]) ).
cnf(s108,plain,
( spl0_102
| spl0_214 ),
inference(sat_conversion,[],[f1123]) ).
cnf(s156,plain,
~ spl0_102,
inference(sat_conversion,[],[f1412]) ).
cnf(s170,plain,
~ spl0_214,
inference(sat_conversion,[],[f1451]) ).
cnf(s195,plain,
$false,
inference(rat,[],[s108,s170,s156]) ).
fof(f1452,plain,
$false,
inference(avatar_sat_refutation,[],[s195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN261-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.15 % Computer : n006.cluster.edu
% 0.13/0.15 % Model : x86_64 x86_64
% 0.13/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.15 % Memory : 8046.5625MB
% 0.13/0.15 % OS : Linux 6.8.0-71-generic
% 0.13/0.15 % CPULimit : 300
% 0.13/0.15 % WCLimit : 300
% 0.13/0.15 % DateTime : Mon Sep 28 15:40:00 UTC 2026
% 0.13/0.15 % CPUTime :
% 0.13/0.15 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.19 Running first-order theorem proving
% 0.13/0.19 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.49/1.11 % (4071526)Input is clausal, will run a generic CNF schedule.
% 2.49/1.11 % (4071553)dis-21_1_sil=8000:lcm=predicate:random_seed=1694209242: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)
% 2.49/1.11 % (4071553)First to succeed.
% 2.49/1.11 % (4071553)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4071526"
% 2.49/1.11 % (4071547)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=3411311239:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.49/1.11 % (4071552)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3917315596:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.49/1.11 % (4071548)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1398533659:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.49/1.11 % (4071550)lrs+10_1_sil=8000:sp=occurrence:random_seed=2399822837:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.49/1.11 % (4071549)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=552650971:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.49/1.11 % (4071550)Refutation not found, incomplete strategy
% 2.49/1.11 % (4071550)------------------------------
% 2.49/1.11 % (4071550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/1.11 % (4071550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/1.11 % (4071550)CaDiCaL version: 2.1.3
% 2.49/1.11 % (4071550)Termination reason: Refutation not found, incomplete strategy
% 2.49/1.11 % (4071550)Time elapsed: 0.004 s
% 2.49/1.11 % (4071550)Peak memory usage: 88 MB
% 2.49/1.11 % (4071550)Instructions burned: 4 (million)
% 2.49/1.11 % (4071552)Also succeeded, but the first one will report.
% 2.49/1.11 % (4071551)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1832914394:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.49/1.11 % (4071551)Also succeeded, but the first one will report.
% 2.49/1.11 % (4071553)Refutation found. Thanks to Tanya!
% 2.49/1.11 % SZS status Unsatisfiable for theBenchmark
% 2.49/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 2.49/1.11 % (4071553)------------------------------
% 2.49/1.11 % (4071553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/1.11 % (4071553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/1.11 % (4071553)CaDiCaL version: 2.1.3
% 2.49/1.11 % (4071553)Termination reason: Refutation
% 2.49/1.11 % (4071553)Time elapsed: 0.005 s
% 2.49/1.11 % (4071553)Peak memory usage: 90 MB
% 2.49/1.11 % (4071553)Instructions burned: 13 (million)
% 2.49/1.11 % (4071553)------------------------------
% 2.49/1.11 % (4071553)------------------------------
% 2.49/1.11 % (4071526)Success in time 0.263 s
% 2.49/1.11 % Vampire exiting
%------------------------------------------------------------------------------