%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN029-1 : 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 2.59s 1.04s
% Output : Refutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 5 unt; 2 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 15 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 6 ( 5 usr; 6 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,
( ~ p
| q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f3,axiom,
( ~ r
| ~ q
| p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f4,axiom,
r,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
( ~ p
| ~ q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_something) ).
fof(f7,definition,
( spl0_1
<=> p ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f11,definition,
( spl0_2
<=> q ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f14,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f1,f11,f7]) ).
fof(f15,plain,
( spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f2,f7,f11]) ).
fof(f16,plain,
( ~ q
| p ),
inference(forward_subsumption_resolution,[],[f3,f4]) ).
fof(f17,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f5,f7,f11]) ).
fof(f18,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f16,f11,f7]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f14]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f15]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f17]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f18]) ).
cnf(s5,plain,
spl0_1,
inference(rat,[],[s1,s4]) ).
cnf(s6,plain,
~ spl0_2,
inference(rat,[],[s3,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s6,s5]) ).
fof(f19,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN029-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % 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 15:20:00 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 2.59/1.04 % (1849059)Input is clausal, will run a generic CNF schedule.
% 2.59/1.04 % (1849190)lrs+10_1_sil=8000:sp=occurrence:random_seed=446237803:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 2.59/1.04 % (1849190)First to succeed.
% 2.59/1.04 % (1849190)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1849059"
% 2.59/1.04 % (1849185)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3330479487:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 2.59/1.04 % (1849187)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3789757595:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 2.59/1.04 % (1849182)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=226107766:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 2.59/1.04 % (1849192)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=989016815:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 2.59/1.04 % (1849192)Refutation not found, incomplete strategy
% 2.59/1.04 % (1849192)------------------------------
% 2.59/1.04 % (1849192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.04 % (1849192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.04 % (1849192)CaDiCaL version: 2.1.3
% 2.59/1.04 % (1849192)Termination reason: Refutation not found, incomplete strategy
% 2.59/1.04 % (1849192)Time elapsed: 0.001 s
% 2.59/1.04 % (1849192)Peak memory usage: 87 MB
% 2.59/1.04 % (1849194)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2381325567:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 2.59/1.04 % (1849195)dis-21_1_sil=8000:lcm=predicate:random_seed=1275536425:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 2.59/1.04 % (1849195)Also succeeded, but the first one will report.
% 2.59/1.04 % (1849194)Also succeeded, but the first one will report.
% 2.59/1.04 % (1849190)Refutation found. Thanks to Tanya!
% 2.59/1.04 % SZS status Unsatisfiable for theBenchmark
% 2.59/1.04 % SZS output start Proof for theBenchmark
% See solution above
% 2.59/1.04 % (1849190)------------------------------
% 2.59/1.04 % (1849190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.04 % (1849190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.04 % (1849190)CaDiCaL version: 2.1.3
% 2.59/1.04 % (1849190)Termination reason: Refutation
% 2.59/1.04 % (1849190)Time elapsed: 0.001 s
% 2.59/1.04 % (1849190)Peak memory usage: 88 MB
% 2.59/1.04 % (1849190)------------------------------
% 2.59/1.04 % (1849190)------------------------------
% 2.59/1.04 % (1849059)Success in time 0.279 s
% 2.59/1.04 % Vampire exiting
%------------------------------------------------------------------------------