%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN028-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 01:49:00 PM UTC 2026
% Result : Unsatisfiable 2.37s 0.86s
% Output : Refutation 2.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 29 ( 9 unt; 5 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 18 ~; 18 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 11 ( 10 usr; 11 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( q
| p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f2,axiom,
( ~ q
| r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f3,axiom,
( ~ r
| s ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f4,axiom,
( ~ s
| ~ r
| t ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f5,axiom,
( ~ t
| p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
~ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_something) ).
fof(f8,definition,
( spl0_1
<=> p ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f12,definition,
( spl0_2
<=> t ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f15,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f5,f12,f8]) ).
fof(f17,definition,
( spl0_3
<=> r ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f21,definition,
( spl0_4
<=> s ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f24,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4,f21,f17,f12]) ).
fof(f25,plain,
( spl0_4
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f3,f17,f21]) ).
fof(f27,definition,
( spl0_5
<=> q ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f30,plain,
( spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f2,f27,f17]) ).
fof(f31,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f1,f27,f8]) ).
fof(f32,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f6,f8]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f15]) ).
cnf(s2,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f24]) ).
cnf(s3,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f25]) ).
cnf(s4,plain,
( spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f30]) ).
cnf(s5,plain,
( spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f31]) ).
cnf(s6,plain,
~ spl0_1,
inference(sat_conversion,[],[f32]) ).
cnf(s7,plain,
spl0_5,
inference(rat,[],[s5,s6]) ).
cnf(s8,plain,
spl0_3,
inference(rat,[],[s4,s7]) ).
cnf(s9,plain,
spl0_4,
inference(rat,[],[s3,s8]) ).
cnf(s10,plain,
spl0_2,
inference(rat,[],[s2,s9,s8]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s1,s10,s6]) ).
fof(f33,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN028-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.16 % Computer : n019.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Mon Sep 28 15:20:19 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 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
% 2.37/0.86 % (4085731)Input is clausal, will run a generic CNF schedule.
% 2.37/0.86 % (4085741)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3011365560:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.37/0.86 % (4085741)First to succeed.
% 2.37/0.86 % (4085741)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4085731"
% 2.37/0.86 % (4085739)lrs+10_1_sil=8000:sp=occurrence:random_seed=1447188326:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.37/0.86 % (4085738)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2165094945:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.37/0.86 % (4085737)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1221919616:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.37/0.86 % (4085742)dis-21_1_sil=8000:lcm=predicate:random_seed=3906057444: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)
% 2.37/0.86 % (4085740)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3113542764:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.37/0.86 % (4085736)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=4124843154:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.37/0.86 % (4085739)Also succeeded, but the first one will report.
% 2.37/0.86 % (4085742)Also succeeded, but the first one will report.
% 2.37/0.86 % (4085740)Also succeeded, but the first one will report.
% 2.37/0.86 % (4085741)Refutation found. Thanks to Tanya!
% 2.37/0.86 % SZS status Unsatisfiable for theBenchmark
% 2.37/0.86 % SZS output start Proof for theBenchmark
% See solution above
% 2.37/0.86 % (4085741)------------------------------
% 2.37/0.86 % (4085741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.37/0.86 % (4085741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.86 % (4085741)CaDiCaL version: 2.1.3
% 2.37/0.86 % (4085741)Termination reason: Refutation
% 2.37/0.86 % (4085741)Time elapsed: 0.001 s
% 2.37/0.86 % (4085741)Peak memory usage: 89 MB
% 2.37/0.86 % (4085741)------------------------------
% 2.37/0.86 % (4085741)------------------------------
% 2.37/0.86 % (4085731)Success in time 0.283 s
% 2.37/0.86 % Vampire exiting
%------------------------------------------------------------------------------