%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN003-1.006 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 01:48:48 PM UTC 2026
% Result : Unsatisfiable 0.18s 1.13s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of formulae : 50 ( 25 unt; 7 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 70 ( 34 ~; 29 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 21 ( 20 usr; 21 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
( ~ p_2
| ~ q_2
| p_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_2) ).
fof(f3,negated_conjecture,
( ~ p_3
| ~ q_3
| p_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_3) ).
fof(f4,negated_conjecture,
( ~ p_4
| ~ q_4
| p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_4) ).
fof(f6,negated_conjecture,
( ~ p_1
| ~ r_1
| p_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prp_1) ).
fof(f10,negated_conjecture,
( ~ p_5
| ~ r_5
| p_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prp_5) ).
fof(f12,negated_conjecture,
( ~ q
| q_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qq_2) ).
fof(f13,negated_conjecture,
( ~ q
| q_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qq_3) ).
fof(f14,negated_conjecture,
( ~ q
| q_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qq_4) ).
fof(f16,negated_conjecture,
( ~ r
| r_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_1) ).
fof(f20,negated_conjecture,
( ~ r
| r_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_5) ).
fof(f21,negated_conjecture,
p_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',base_1) ).
fof(f22,negated_conjecture,
~ p_6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',base_2) ).
fof(f23,negated_conjecture,
q,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',base_3) ).
fof(f24,negated_conjecture,
r,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',base_4) ).
fof(f25,plain,
r_5,
inference(forward_subsumption_resolution,[],[f20,f24]) ).
fof(f29,plain,
r_1,
inference(forward_subsumption_resolution,[],[f16,f24]) ).
fof(f31,plain,
q_4,
inference(forward_subsumption_resolution,[],[f14,f23]) ).
fof(f32,plain,
q_3,
inference(forward_subsumption_resolution,[],[f13,f23]) ).
fof(f33,plain,
q_2,
inference(forward_subsumption_resolution,[],[f12,f23]) ).
fof(f35,plain,
( ~ p_5
| ~ r_5 ),
inference(forward_subsumption_resolution,[],[f10,f22]) ).
fof(f37,definition,
( spl0_1
<=> p_5 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f45,definition,
( spl0_3
<=> p_4 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f54,definition,
( spl0_5
<=> p_3 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f63,definition,
( spl0_7
<=> p_2 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f67,plain,
( ~ r_1
| p_2 ),
inference(forward_subsumption_resolution,[],[f6,f21]) ).
fof(f70,definition,
( spl0_8
<=> q_4 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f73,plain,
( spl0_1
| ~ spl0_8
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f4,f45,f70,f37]) ).
fof(f75,definition,
( spl0_9
<=> q_3 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f78,plain,
( spl0_3
| ~ spl0_9
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f3,f54,f75,f45]) ).
fof(f80,definition,
( spl0_10
<=> q_2 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f83,plain,
( spl0_5
| ~ spl0_10
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f2,f63,f80,f54]) ).
fof(f88,plain,
spl0_8,
inference(avatar_split_clause,[],[f31,f70]) ).
fof(f89,plain,
spl0_9,
inference(avatar_split_clause,[],[f32,f75]) ).
fof(f90,plain,
spl0_10,
inference(avatar_split_clause,[],[f33,f80]) ).
fof(f91,plain,
~ p_5,
inference(forward_subsumption_resolution,[],[f35,f25]) ).
fof(f92,plain,
p_2,
inference(forward_subsumption_resolution,[],[f67,f29]) ).
fof(f95,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f91,f37]) ).
fof(f96,plain,
spl0_7,
inference(avatar_split_clause,[],[f92,f63]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(sat_conversion,[],[f73]) ).
cnf(s5,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(sat_conversion,[],[f78]) ).
cnf(s6,plain,
( spl0_5
| ~ spl0_7
| ~ spl0_10 ),
inference(sat_conversion,[],[f83]) ).
cnf(s10,plain,
spl0_8,
inference(sat_conversion,[],[f88]) ).
cnf(s11,plain,
spl0_9,
inference(sat_conversion,[],[f89]) ).
cnf(s12,plain,
spl0_10,
inference(sat_conversion,[],[f90]) ).
cnf(s13,plain,
~ spl0_1,
inference(sat_conversion,[],[f95]) ).
cnf(s14,plain,
spl0_7,
inference(sat_conversion,[],[f96]) ).
cnf(s17,plain,
spl0_5,
inference(rat,[],[s6,s12,s14]) ).
cnf(s18,plain,
spl0_3,
inference(rat,[],[s5,s11,s17]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s4,s10,s18,s13]) ).
fof(f97,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN003-1.006 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n014.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 15:19:49 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 0.18/1.13 % (1848457)Input is clausal, will run a generic CNF schedule.
% 0.18/1.13 % (1848466)lrs+10_1_sil=8000:sp=occurrence:random_seed=3032013399:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.18/1.13 % (1848466)First to succeed.
% 0.18/1.13 % (1848466)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1848457"
% 0.18/1.13 % (1848463)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=1826598542:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.18/1.13 % (1848468)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2893126953:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.18/1.13 % (1848469)dis-21_1_sil=8000:lcm=predicate:random_seed=3499955852: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)
% 0.18/1.13 % (1848465)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1084662047:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.18/1.13 % (1848467)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2359452967:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.18/1.13 % (1848464)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2347806672:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.18/1.13 % (1848468)Also succeeded, but the first one will report.
% 0.18/1.13 % (1848467)Also succeeded, but the first one will report.
% 0.18/1.13 % (1848469)Also succeeded, but the first one will report.
% 0.18/1.13 % (1848466)Refutation found. Thanks to Tanya!
% 0.18/1.13 % SZS status Unsatisfiable for theBenchmark
% 0.18/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.13 % (1848466)------------------------------
% 0.18/1.13 % (1848466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.13 % (1848466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.13 % (1848466)CaDiCaL version: 2.1.3
% 0.18/1.13 % (1848466)Termination reason: Refutation
% 0.18/1.13 % (1848466)Time elapsed: 0.001 s
% 0.18/1.13 % (1848466)Peak memory usage: 88 MB
% 0.18/1.13 % (1848466)Instructions burned: 1 (million)
% 0.18/1.13 % (1848466)------------------------------
% 0.18/1.13 % (1848466)------------------------------
% 0.18/1.13 % (1848457)Success in time 0.289 s
% 0.18/1.13 % Vampire exiting
%------------------------------------------------------------------------------