%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN106-1 : 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 : 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 01:49:40 PM UTC 2026
% Result : Unsatisfiable 0.22s 1.14s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 9 unt; 1 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 3 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f369,negated_conjecture,
~ k1(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f730,definition,
( spl0_106
<=> k1(e) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f731,plain,
( ~ k1(e)
| spl0_106 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f1389,plain,
~ spl0_106,
inference(avatar_split_clause,[],[f369,f730]) ).
fof(f1479,plain,
k1(e),
inference(resolution,[],[f39,f3]) ).
fof(f1499,plain,
( $false
| spl0_106 ),
inference(forward_subsumption_resolution,[],[f1479,f731]) ).
fof(f1500,plain,
spl0_106,
inference(avatar_contradiction_clause,[],[f1499]) ).
cnf(s153,plain,
~ spl0_106,
inference(sat_conversion,[],[f1389]) ).
cnf(s203,plain,
spl0_106,
inference(sat_conversion,[],[f1500]) ).
cnf(s204,plain,
$false,
inference(rat,[],[s153,s203]) ).
fof(f1501,plain,
$false,
inference(avatar_sat_refutation,[],[s204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN106-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n006.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 15:34:10 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 0.22/1.14 % (4057907)Input is clausal, will run a generic CNF schedule.
% 0.22/1.14 % (4057983)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3648344607:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.22/1.14 % (4057983)First to succeed.
% 0.22/1.14 % (4057983)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4057907"
% 0.22/1.14 % (4057982)lrs+10_1_sil=8000:sp=occurrence:random_seed=3540616515:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.22/1.14 % (4057982)Also succeeded, but the first one will report.
% 0.22/1.14 % (4057980)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4282839074:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.22/1.14 % (4057979)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=1373791926:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.22/1.14 % (4057981)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4174553912:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.22/1.14 % (4057984)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3821543842:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.22/1.14 % (4057985)dis-21_1_sil=8000:lcm=predicate:random_seed=2418100181: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)
% 0.22/1.14 % (4057984)Also succeeded, but the first one will report.
% 0.22/1.14 % (4057985)Also succeeded, but the first one will report.
% 0.22/1.14 % (4057983)Refutation found. Thanks to Tanya!
% 0.22/1.14 % SZS status Unsatisfiable for theBenchmark
% 0.22/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/1.14 % (4057983)------------------------------
% 0.22/1.14 % (4057983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.14 % (4057983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.14 % (4057983)CaDiCaL version: 2.1.3
% 0.22/1.14 % (4057983)Termination reason: Refutation
% 0.22/1.14 % (4057983)Time elapsed: 0.006 s
% 0.22/1.14 % (4057983)Peak memory usage: 90 MB
% 0.22/1.14 % (4057983)Instructions burned: 15 (million)
% 0.22/1.14 % (4057983)------------------------------
% 0.22/1.14 % (4057983)------------------------------
% 0.22/1.14 % (4057907)Success in time 0.272 s
% 0.22/1.14 % Vampire exiting
%------------------------------------------------------------------------------