%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN011-1 : 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 : n016.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 01:48:59 PM UTC 2026
% Result : Unsatisfiable 2.80s 1.18s
% Output : Refutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 36 ( 9 unt; 6 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 25 ~; 27 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 14 ( 13 usr; 14 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ n
| ~ t ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
( m
| q
| n ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
( l
| ~ m ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
( l
| ~ q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
( ~ l
| ~ p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
( r
| p
| n ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
( ~ r
| ~ l ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f8,negated_conjecture,
t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
fof(f10,definition,
( spl0_1
<=> l ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f14,definition,
( spl0_2
<=> r ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f17,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f7,f14,f10]) ).
fof(f19,definition,
( spl0_3
<=> n ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f23,definition,
( spl0_4
<=> p ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f26,plain,
( spl0_3
| spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f6,f14,f23,f19]) ).
fof(f27,plain,
( ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f5,f10,f23]) ).
fof(f29,definition,
( spl0_5
<=> q ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f32,plain,
( ~ spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f4,f10,f29]) ).
fof(f34,definition,
( spl0_6
<=> m ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f37,plain,
( ~ spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f3,f10,f34]) ).
fof(f38,plain,
( spl0_3
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f2,f34,f29,f19]) ).
fof(f39,plain,
~ n,
inference(forward_subsumption_resolution,[],[f1,f8]) ).
fof(f40,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f39,f19]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f17]) ).
cnf(s2,plain,
( spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f26]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f27]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_5 ),
inference(sat_conversion,[],[f32]) ).
cnf(s5,plain,
( spl0_1
| ~ spl0_6 ),
inference(sat_conversion,[],[f37]) ).
cnf(s6,plain,
( spl0_3
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f38]) ).
cnf(s7,plain,
~ spl0_3,
inference(sat_conversion,[],[f40]) ).
cnf(s8,plain,
( spl0_5
| spl0_6 ),
inference(rat,[],[s6,s7]) ).
cnf(s9,plain,
( spl0_2
| spl0_4 ),
inference(rat,[],[s2,s7]) ).
cnf(s10,plain,
spl0_1,
inference(rat,[],[s8,s4,s5]) ).
cnf(s11,plain,
~ spl0_4,
inference(rat,[],[s3,s10]) ).
cnf(s12,plain,
~ spl0_2,
inference(rat,[],[s1,s10]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s9,s11,s12]) ).
fof(f41,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN011-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 15:25:03 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 2.80/1.18 % (3704799)Input is clausal, will run a generic CNF schedule.
% 2.80/1.18 % (3704807)lrs+10_1_sil=8000:sp=occurrence:random_seed=681859871:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.80/1.18 % (3704807)First to succeed.
% 2.80/1.18 % (3704807)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3704799"
% 2.80/1.18 % (3704806)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4010275497:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.80/1.18 % (3704808)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1686029252:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.80/1.18 % (3704805)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2172740696:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.80/1.18 % (3704804)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=4073265455:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.80/1.18 % (3704808)Also succeeded, but the first one will report.
% 2.80/1.18 % (3704810)dis-21_1_sil=8000:lcm=predicate:random_seed=4033252214: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)
% 2.80/1.18 % (3704810)Also succeeded, but the first one will report.
% 2.80/1.18 % (3704809)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2288790033:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.80/1.18 % (3704809)Also succeeded, but the first one will report.
% 2.80/1.18 % (3704807)Refutation found. Thanks to Tanya!
% 2.80/1.18 % SZS status Unsatisfiable for theBenchmark
% 2.80/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 2.80/1.18 % (3704807)------------------------------
% 2.80/1.18 % (3704807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.18 % (3704807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.18 % (3704807)CaDiCaL version: 2.1.3
% 2.80/1.18 % (3704807)Termination reason: Refutation
% 2.80/1.18 % (3704807)Time elapsed: 0.001 s
% 2.80/1.18 % (3704807)Peak memory usage: 88 MB
% 2.80/1.18 % (3704807)------------------------------
% 2.80/1.18 % (3704807)------------------------------
% 2.80/1.18 % (3704799)Success in time 0.304 s
% 2.80/1.18 % Vampire exiting
%------------------------------------------------------------------------------