%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN265-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 01:50:03 PM UTC 2026
% Result : Unsatisfiable 4.62s 1.86s
% Output : Refutation 4.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 12 unt; 1 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 11 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 2 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).
fof(f126,axiom,
( p1(a,a,a)
| ~ l0(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_088) ).
fof(f219,axiom,
! [X0] :
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_181) ).
fof(f288,axiom,
! [X2,X0,X1] :
( ~ q2(X1,X2,X0)
| ~ k1(X0)
| p3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_250) ).
fof(f369,negated_conjecture,
! [X0] : ~ p3(X0,X0,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f432,plain,
p1(a,a,a),
inference(forward_subsumption_resolution,[],[f126,f20]) ).
fof(f641,definition,
( spl0_65
<=> k1(a) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f642,plain,
( k1(a)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f643,plain,
( ~ k1(a)
| spl0_65 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f779,plain,
k1(a),
inference(resolution,[],[f39,f37]) ).
fof(f783,plain,
( $false
| spl0_65 ),
inference(forward_subsumption_resolution,[],[f779,f643]) ).
fof(f784,plain,
spl0_65,
inference(avatar_contradiction_clause,[],[f783]) ).
fof(f973,plain,
q2(a,a,a),
inference(resolution,[],[f219,f432]) ).
fof(f1251,plain,
( ~ k1(a)
| p3(a,a,a) ),
inference(resolution,[],[f288,f973]) ).
fof(f1257,plain,
( p3(a,a,a)
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f1251,f642]) ).
fof(f1260,plain,
( $false
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f1257,f369]) ).
fof(f1261,plain,
~ spl0_65,
inference(avatar_contradiction_clause,[],[f1260]) ).
cnf(s69,plain,
spl0_65,
inference(sat_conversion,[],[f784]) ).
cnf(s113,plain,
~ spl0_65,
inference(sat_conversion,[],[f1261]) ).
cnf(s115,plain,
$false,
inference(rat,[],[s69,s113]) ).
fof(f1262,plain,
$false,
inference(avatar_sat_refutation,[],[s115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN265-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.30 % Computer : n001.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8046.5625MB
% 0.12/0.30 % OS : Linux 6.8.0-71-generic
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Mon Sep 28 15:46:08 UTC 2026
% 0.12/0.31 % CPUTime :
% 0.12/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.35 Running first-order theorem proving
% 0.15/0.35 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.62/1.86 % (444658)Input is clausal, will run a generic CNF schedule.
% 4.62/1.86 % (444666)lrs+10_1_sil=8000:sp=occurrence:random_seed=1596366687:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.62/1.86 % (444666)First to succeed.
% 4.62/1.86 % (444666)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-444658"
% 4.62/1.86 % (444664)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3326068853:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.62/1.86 % (444663)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=3677247375:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.62/1.86 % (444665)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3802513642:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.62/1.86 % (444668)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=918257919:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.62/1.86 % (444667)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1702671438:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.62/1.86 % (444669)dis-21_1_sil=8000:lcm=predicate:random_seed=2483686180: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)
% 4.62/1.86 % (444667)Also succeeded, but the first one will report.
% 4.62/1.86 % (444668)Also succeeded, but the first one will report.
% 4.62/1.86 % (444669)Also succeeded, but the first one will report.
% 4.62/1.86 % (444666)Refutation found. Thanks to Tanya!
% 4.62/1.86 % SZS status Unsatisfiable for theBenchmark
% 4.62/1.86 % SZS output start Proof for theBenchmark
% See solution above
% 4.62/1.86 % (444666)------------------------------
% 4.62/1.86 % (444666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.62/1.86 % (444666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.62/1.86 % (444666)CaDiCaL version: 2.1.3
% 4.62/1.86 % (444666)Termination reason: Refutation
% 4.62/1.86 % (444666)Time elapsed: 0.011 s
% 4.62/1.86 % (444666)Peak memory usage: 89 MB
% 4.62/1.86 % (444666)Instructions burned: 15 (million)
% 4.62/1.86 % (444666)------------------------------
% 4.62/1.86 % (444666)------------------------------
% 4.62/1.86 % (444658)Success in time 0.516 s
% 4.62/1.86 % Vampire exiting
%------------------------------------------------------------------------------