%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN114-1 : 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 : n010.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 3.36s 1.17s
% Output : Refutation 3.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 10 unt; 1 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 6 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 2 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f44,axiom,
! [X0,X1] :
( ~ m0(X1,X1,X0)
| m1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_006) ).
fof(f188,axiom,
! [X0,X1] :
( ~ m1(X1,X1,X0)
| p2(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_150) ).
fof(f243,axiom,
! [X0,X1] :
( ~ p2(X1,X0,X0)
| k3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_205) ).
fof(f369,negated_conjecture,
! [X0] : ~ k3(X0,X0,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f425,definition,
( spl0_14
<=> ! [X0] : p2(X0,X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f426,plain,
( ! [X0] : p2(X0,X0,X0)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f485,plain,
! [X0] : m1(X0,X0,X0),
inference(resolution,[],[f44,f19]) ).
fof(f516,plain,
! [X0] : p2(X0,X0,X0),
inference(resolution,[],[f188,f485]) ).
fof(f520,plain,
spl0_14,
inference(avatar_split_clause,[],[f516,f425]) ).
fof(f532,plain,
( ! [X0] : k3(X0,X0,X0)
| ~ spl0_14 ),
inference(resolution,[],[f243,f426]) ).
fof(f540,plain,
( $false
| ~ spl0_14 ),
inference(resolution,[],[f532,f369]) ).
fof(f541,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f540]) ).
cnf(s16,plain,
spl0_14,
inference(sat_conversion,[],[f520]) ).
cnf(s17,plain,
~ spl0_14,
inference(sat_conversion,[],[f541]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s16,s17]) ).
fof(f542,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN114-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n010.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 15:35:03 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.36/1.17 % (2011853)Input is clausal, will run a generic CNF schedule.
% 3.36/1.17 % (2011858)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=3430750802:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.36/1.17 % (2011861)lrs+10_1_sil=8000:sp=occurrence:random_seed=3085451234:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.36/1.17 % (2011861)First to succeed.
% 3.36/1.17 % (2011861)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2011853"
% 3.36/1.17 % (2011860)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3123944468:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.36/1.17 % (2011859)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3132942008:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.36/1.17 % (2011864)dis-21_1_sil=8000:lcm=predicate:random_seed=2188484745: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)
% 3.36/1.17 % (2011863)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=135232086:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.36/1.17 % (2011862)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=858895862:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.36/1.17 % (2011863)Also succeeded, but the first one will report.
% 3.36/1.17 % (2011862)Also succeeded, but the first one will report.
% 3.36/1.17 % (2011864)Also succeeded, but the first one will report.
% 3.36/1.17 % (2011861)Refutation found. Thanks to Tanya!
% 3.36/1.17 % SZS status Unsatisfiable for theBenchmark
% 3.36/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 3.36/1.17 % (2011861)------------------------------
% 3.36/1.17 % (2011861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.17 % (2011861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.17 % (2011861)CaDiCaL version: 2.1.3
% 3.36/1.17 % (2011861)Termination reason: Refutation
% 3.36/1.17 % (2011861)Time elapsed: 0.005 s
% 3.36/1.17 % (2011861)Peak memory usage: 89 MB
% 3.36/1.17 % (2011861)Instructions burned: 4 (million)
% 3.36/1.17 % (2011861)------------------------------
% 3.36/1.17 % (2011861)------------------------------
% 3.36/1.17 % (2011853)Success in time 0.406 s
% 3.36/1.17 % Vampire exiting
%------------------------------------------------------------------------------