%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN245-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 01:50:00 PM UTC 2026
% Result : Unsatisfiable 3.57s 1.10s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 8 unt; 2 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 5 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 1 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f58,axiom,
( m1(c,c,c)
| ~ l0(c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_020) ).
fof(f369,negated_conjecture,
! [X0] : ~ m1(c,X0,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f900,definition,
( spl0_134
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f1503,definition,
( spl0_281
<=> m1(c,c,c) ),
introduced(definition,[new_symbols(definition,[spl0_281])],[avatar_definition]) ).
fof(f1505,plain,
( m1(c,c,c)
| ~ spl0_281 ),
inference(avatar_component_clause,[],[f1503]) ).
fof(f1506,plain,
( ~ spl0_134
| spl0_281 ),
inference(avatar_split_clause,[],[f58,f1503,f900]) ).
fof(f1558,plain,
spl0_134,
inference(avatar_split_clause,[],[f24,f900]) ).
fof(f1579,plain,
( $false
| ~ spl0_281 ),
inference(forward_subsumption_resolution,[],[f1505,f369]) ).
fof(f1580,plain,
~ spl0_281,
inference(avatar_contradiction_clause,[],[f1579]) ).
cnf(s144,plain,
( ~ spl0_134
| spl0_281 ),
inference(sat_conversion,[],[f1506]) ).
cnf(s158,plain,
spl0_134,
inference(sat_conversion,[],[f1558]) ).
cnf(s174,plain,
~ spl0_281,
inference(sat_conversion,[],[f1580]) ).
cnf(s183,plain,
$false,
inference(rat,[],[s144,s174,s158]) ).
fof(f1581,plain,
$false,
inference(avatar_sat_refutation,[],[s183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN245-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n007.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Mon Sep 28 15:37:12 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 Running first-order theorem proving
% 0.11/0.21 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
% 3.57/1.10 % (2504571)Input is clausal, will run a generic CNF schedule.
% 3.57/1.10 % (2504596)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2140756547:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.57/1.10 % (2504596)First to succeed.
% 3.57/1.10 % (2504596)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2504571"
% 3.57/1.10 % (2504595)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2007208794:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.57/1.10 % (2504593)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2934820177:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.57/1.10 % (2504591)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=866281559:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.57/1.10 % (2504594)lrs+10_1_sil=8000:sp=occurrence:random_seed=3507331584:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.57/1.10 % (2504592)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=92511315:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.57/1.10 % (2504594)Also succeeded, but the first one will report.
% 3.57/1.10 % (2504595)Also succeeded, but the first one will report.
% 3.57/1.10 % (2504597)dis-21_1_sil=8000:lcm=predicate:random_seed=4215180892: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)
% 3.57/1.10 % (2504597)Also succeeded, but the first one will report.
% 3.57/1.10 % (2504596)Refutation found. Thanks to Tanya!
% 3.57/1.10 % SZS status Unsatisfiable for theBenchmark
% 3.57/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.10 % (2504596)------------------------------
% 3.57/1.10 % (2504596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.10 % (2504596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.10 % (2504596)CaDiCaL version: 2.1.3
% 3.57/1.10 % (2504596)Termination reason: Refutation
% 3.57/1.10 % (2504596)Time elapsed: 0.011 s
% 3.57/1.10 % (2504596)Peak memory usage: 90 MB
% 3.57/1.10 % (2504596)Instructions burned: 13 (million)
% 3.57/1.10 % (2504596)------------------------------
% 3.57/1.10 % (2504596)------------------------------
% 3.57/1.10 % (2504571)Success in time 0.451 s
% 3.57/1.10 % Vampire exiting
%------------------------------------------------------------------------------