%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN032-1 : 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 : n014.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 01:49:01 PM UTC 2026
% Result : Unsatisfiable 2.66s 1.09s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 34 ( 5 unt; 6 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 63 ( 25 ~; 32 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 13 ( 12 usr; 13 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,
( h
| a
| ~ j ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',three) ).
fof(f2,axiom,
( h
| k
| j ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',four) ).
fof(f3,axiom,
( h
| j
| ~ k ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',five) ).
fof(f4,axiom,
( b
| ~ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',six) ).
fof(f5,axiom,
( c
| ~ h ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',seven) ).
fof(f6,axiom,
( ~ h
| ~ c ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one) ).
fof(f7,negated_conjecture,
( ~ a
| ~ b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_something) ).
fof(f9,definition,
( spl0_1
<=> b ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f12,definition,
( spl0_2
<=> a ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f14,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f7,f12,f9]) ).
fof(f16,definition,
( spl0_3
<=> c ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f19,definition,
( spl0_4
<=> h ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f21,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f6,f19,f16]) ).
fof(f23,plain,
( ~ spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f16,f19]) ).
fof(f25,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f4,f9,f12]) ).
fof(f27,definition,
( spl0_5
<=> k ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f30,definition,
( spl0_6
<=> j ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f33,plain,
( ~ spl0_5
| spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f3,f19,f30,f27]) ).
fof(f35,plain,
( spl0_6
| spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f2,f19,f27,f30]) ).
fof(f38,plain,
( ~ spl0_6
| spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f1,f19,f12,f30]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f14]) ).
cnf(s2,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f21]) ).
cnf(s3,plain,
( spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f23]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f25]) ).
cnf(s5,plain,
( spl0_4
| ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f33]) ).
cnf(s6,plain,
( spl0_4
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f35]) ).
cnf(s7,plain,
( spl0_2
| spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f38]) ).
cnf(s8,plain,
( spl0_4
| spl0_6 ),
inference(rat,[],[s5,s6]) ).
cnf(s9,plain,
( spl0_4
| spl0_2 ),
inference(rat,[],[s8,s7]) ).
cnf(s10,plain,
~ spl0_4,
inference(rat,[],[s2,s3]) ).
cnf(s11,plain,
spl0_2,
inference(rat,[],[s9,s10]) ).
cnf(s13,plain,
spl0_1,
inference(rat,[],[s4,s11]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s1,s11,s13]) ).
fof(f39,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN032-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n014.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
% 0.08/0.19 % DateTime : Mon Sep 28 15:20:15 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 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
% 2.66/1.09 % (1849991)Input is clausal, will run a generic CNF schedule.
% 2.66/1.09 % (1850000)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1335029202:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.66/1.09 % (1850000)First to succeed.
% 2.66/1.09 % (1850000)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1849991"
% 2.66/1.09 % (1849999)lrs+10_1_sil=8000:sp=occurrence:random_seed=90463341:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.66/1.09 % (1849998)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3746510236:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.66/1.09 % (1849997)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=992820378:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.66/1.09 % (1850002)dis-21_1_sil=8000:lcm=predicate:random_seed=1528907144: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)
% 2.66/1.09 % (1850001)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2534411095:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.66/1.09 % (1849996)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=2088288809:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.66/1.09 % (1849999)Also succeeded, but the first one will report.
% 2.66/1.09 % (1850002)Also succeeded, but the first one will report.
% 2.66/1.09 % (1850001)Also succeeded, but the first one will report.
% 2.66/1.09 % (1850000)Refutation found. Thanks to Tanya!
% 2.66/1.09 % SZS status Unsatisfiable for theBenchmark
% 2.66/1.09 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/1.09 % (1850000)------------------------------
% 2.66/1.09 % (1850000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.09 % (1850000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.09 % (1850000)CaDiCaL version: 2.1.3
% 2.66/1.09 % (1850000)Termination reason: Refutation
% 2.66/1.09 % (1850000)Time elapsed: 0.001 s
% 2.66/1.09 % (1850000)Peak memory usage: 88 MB
% 2.66/1.09 % (1850000)------------------------------
% 2.66/1.09 % (1850000)------------------------------
% 2.66/1.09 % (1849991)Success in time 0.296 s
% 2.66/1.09 % Vampire exiting
%------------------------------------------------------------------------------