%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN154-1 : 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 : n004.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 01:49:47 PM UTC 2026
% Result : Unsatisfiable 0.36s 1.30s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 11 unt; 3 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 26 ~; 26 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f8,axiom,
m0(e,d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f78,axiom,
! [X0,X1] :
( ~ k1(X0)
| ~ m0(X0,X1,e)
| n1(X0,e,e) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_040) ).
fof(f208,axiom,
! [X0] :
( ~ n1(X0,e,e)
| p2(X0,e,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_170) ).
fof(f278,axiom,
! [X2,X0,X1] :
( ~ p2(X1,X2,X0)
| n3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_240) ).
fof(f369,negated_conjecture,
~ n3(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f551,definition,
( spl0_47
<=> n3(e) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f553,plain,
( ~ n3(e)
| spl0_47 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f925,definition,
( spl0_140
<=> k1(e) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f926,plain,
( k1(e)
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f927,plain,
( ~ k1(e)
| spl0_140 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f1391,definition,
( spl0_254
<=> n1(e,e,e) ),
introduced(definition,[new_symbols(definition,[spl0_254])],[avatar_definition]) ).
fof(f1392,plain,
( n1(e,e,e)
| ~ spl0_254 ),
inference(avatar_component_clause,[],[f1391]) ).
fof(f1393,plain,
( ~ n1(e,e,e)
| spl0_254 ),
inference(avatar_component_clause,[],[f1391]) ).
fof(f1569,plain,
~ spl0_47,
inference(avatar_split_clause,[],[f369,f551]) ).
fof(f1634,plain,
( ! [X0] : ~ n0(X0,e)
| spl0_140 ),
inference(resolution,[],[f39,f927]) ).
fof(f1648,plain,
( $false
| spl0_140 ),
inference(resolution,[],[f1634,f3]) ).
fof(f1651,plain,
spl0_140,
inference(avatar_contradiction_clause,[],[f1648]) ).
fof(f1652,plain,
( ! [X0] :
( ~ m0(e,X0,e)
| n1(e,e,e) )
| ~ spl0_140 ),
inference(resolution,[],[f926,f78]) ).
fof(f1654,plain,
( ! [X0] : ~ m0(e,X0,e)
| ~ spl0_140
| spl0_254 ),
inference(forward_subsumption_resolution,[],[f1652,f1393]) ).
fof(f1669,plain,
( $false
| ~ spl0_140
| spl0_254 ),
inference(resolution,[],[f1654,f8]) ).
fof(f1672,plain,
( ~ spl0_140
| spl0_254 ),
inference(avatar_contradiction_clause,[],[f1669]) ).
fof(f1686,plain,
( p2(e,e,e)
| ~ spl0_254 ),
inference(resolution,[],[f1392,f208]) ).
fof(f1699,plain,
( n3(e)
| ~ spl0_254 ),
inference(resolution,[],[f1686,f278]) ).
fof(f1700,plain,
( $false
| spl0_47
| ~ spl0_254 ),
inference(forward_subsumption_resolution,[],[f1699,f553]) ).
fof(f1701,plain,
( spl0_47
| ~ spl0_254 ),
inference(avatar_contradiction_clause,[],[f1700]) ).
cnf(s169,plain,
~ spl0_47,
inference(sat_conversion,[],[f1569]) ).
cnf(s199,plain,
spl0_140,
inference(sat_conversion,[],[f1651]) ).
cnf(s203,plain,
( ~ spl0_140
| spl0_254 ),
inference(sat_conversion,[],[f1672]) ).
cnf(s210,plain,
( spl0_47
| ~ spl0_254 ),
inference(sat_conversion,[],[f1701]) ).
cnf(s211,plain,
spl0_254,
inference(rat,[],[s203,s199]) ).
cnf(s212,plain,
spl0_47,
inference(rat,[],[s210,s211]) ).
cnf(s214,plain,
$false,
inference(rat,[],[s169,s212]) ).
fof(f1702,plain,
$false,
inference(avatar_sat_refutation,[],[s214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN154-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.32 % Computer : n004.cluster.edu
% 0.28/0.32 % Model : x86_64 x86_64
% 0.28/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.28/0.32 % Memory : 8046.5625MB
% 0.28/0.32 % OS : Linux 6.8.0-71-generic
% 0.28/0.32 % CPULimit : 300
% 0.28/0.32 % WCLimit : 300
% 0.28/0.32 % DateTime : Mon Sep 28 15:36:52 UTC 2026
% 0.28/0.32 % CPUTime :
% 0.28/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.38 Running first-order theorem proving
% 0.28/0.38 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
% 0.36/1.30 % (469706)Input is clausal, will run a generic CNF schedule.
% 0.36/1.30 % (469810)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1933786659:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.36/1.30 % (469810)First to succeed.
% 0.36/1.30 % (469810)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-469706"
% 0.36/1.30 % (469807)lrs+10_1_sil=8000:sp=occurrence:random_seed=61971917:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.36/1.30 % (469803)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1145676146:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.36/1.30 % (469805)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2448340019:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.36/1.30 % (469802)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=388427385:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.36/1.30 % (469807)Also succeeded, but the first one will report.
% 0.36/1.30 % (469809)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2072597219:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.36/1.30 % (469811)dis-21_1_sil=8000:lcm=predicate:random_seed=3083988618: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)
% 0.36/1.30 % (469809)Also succeeded, but the first one will report.
% 0.36/1.30 % (469811)Also succeeded, but the first one will report.
% 0.36/1.30 % (469810)Refutation found. Thanks to Tanya!
% 0.36/1.30 % SZS status Unsatisfiable for theBenchmark
% 0.36/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.36/1.30 % (469810)------------------------------
% 0.36/1.30 % (469810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.36/1.30 % (469810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/1.30 % (469810)CaDiCaL version: 2.1.3
% 0.36/1.30 % (469810)Termination reason: Refutation
% 0.36/1.30 % (469810)Time elapsed: 0.008 s
% 0.36/1.30 % (469810)Peak memory usage: 90 MB
% 0.36/1.30 % (469810)Instructions burned: 18 (million)
% 0.36/1.30 % (469810)------------------------------
% 0.36/1.30 % (469810)------------------------------
% 0.36/1.30 % (469706)Success in time 0.303 s
% 0.36/1.30 % Vampire exiting
%------------------------------------------------------------------------------