%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN112-1 : 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 : n015.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 01:49:41 PM UTC 2026
% Result : Unsatisfiable 3.55s 1.26s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 9 unt; 2 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 8 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).
fof(f168,axiom,
( k2(e,e)
| ~ l1(e,e) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_130) ).
fof(f369,negated_conjecture,
! [X0] : ~ k2(e,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f749,definition,
( spl0_90
<=> l1(e,e) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f751,plain,
( ~ l1(e,e)
| spl0_90 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f753,definition,
( spl0_91
<=> k2(e,e) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f755,plain,
( k2(e,e)
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f756,plain,
( ~ spl0_90
| spl0_91 ),
inference(avatar_split_clause,[],[f168,f753,f749]) ).
fof(f914,plain,
l1(e,e),
inference(resolution,[],[f40,f3]) ).
fof(f926,plain,
( $false
| spl0_90 ),
inference(forward_subsumption_resolution,[],[f914,f751]) ).
fof(f927,plain,
spl0_90,
inference(avatar_contradiction_clause,[],[f926]) ).
fof(f928,plain,
( $false
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f755,f369]) ).
fof(f929,plain,
~ spl0_91,
inference(avatar_contradiction_clause,[],[f928]) ).
cnf(s55,plain,
( ~ spl0_90
| spl0_91 ),
inference(sat_conversion,[],[f756]) ).
cnf(s95,plain,
spl0_90,
inference(sat_conversion,[],[f927]) ).
cnf(s96,plain,
~ spl0_91,
inference(sat_conversion,[],[f929]) ).
cnf(s99,plain,
$false,
inference(rat,[],[s55,s96,s95]) ).
fof(f930,plain,
$false,
inference(avatar_sat_refutation,[],[s99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN112-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n015.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:37:47 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 3.55/1.26 % (2723197)Input is clausal, will run a generic CNF schedule.
% 3.55/1.26 % (2723204)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2745958445:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.55/1.26 % (2723205)lrs+10_1_sil=8000:sp=occurrence:random_seed=1666683388:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.55/1.26 % (2723202)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=4246987285:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.55/1.26 % (2723208)dis-21_1_sil=8000:lcm=predicate:random_seed=4221428800: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)
% 3.55/1.26 % (2723203)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2337459438:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.55/1.26 % (2723206)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3601884642:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.55/1.26 % (2723207)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1594790636:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.55/1.26 % (2723205)First to succeed.
% 3.55/1.26 % (2723205)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2723197"
% 3.55/1.26 % (2723207)Also succeeded, but the first one will report.
% 3.55/1.26 % (2723206)Also succeeded, but the first one will report.
% 3.55/1.26 % (2723208)Also succeeded, but the first one will report.
% 3.55/1.26 % (2723205)Refutation found. Thanks to Tanya!
% 3.55/1.26 % SZS status Unsatisfiable for theBenchmark
% 3.55/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.55/1.26 % (2723205)------------------------------
% 3.55/1.26 % (2723205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.26 % (2723205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.26 % (2723205)CaDiCaL version: 2.1.3
% 3.55/1.26 % (2723205)Termination reason: Refutation
% 3.55/1.26 % (2723205)Time elapsed: 0.008 s
% 3.55/1.26 % (2723205)Peak memory usage: 89 MB
% 3.55/1.26 % (2723205)Instructions burned: 10 (million)
% 3.55/1.26 % (2723205)------------------------------
% 3.55/1.26 % (2723205)------------------------------
% 3.55/1.26 % (2723197)Success in time 0.421 s
% 3.55/1.26 % Vampire exiting
%------------------------------------------------------------------------------