%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV011-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 10:20:12 AM UTC 2026
% Result : Unsatisfiable 2.55s 1.31s
% Output : Refutation 2.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 5 unt; 2 def)
% Number of atoms : 65 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 28 ~; 30 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X0] : level(X0) = int_level(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f27,axiom,
! [X0] :
( int_level(X0) != fifo_length
| p_Full(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
fof(f28,axiom,
! [X0] :
( int_level(X0) = fifo_length
| ~ p_Full(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
fof(f113,negated_conjecture,
( ~ p_Full(t_139)
| level(t_139) != fifo_length ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f114,plain,
( ~ p_Full(t_139)
| fifo_length != level(t_139) ),
inference(reorient_equations,[],[f113]) ).
fof(f115,negated_conjecture,
( p_Full(t_139)
| level(t_139) = fifo_length ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f116,plain,
( p_Full(t_139)
| fifo_length = level(t_139) ),
inference(reorient_equations,[],[f115]) ).
fof(f117,plain,
( ~ p_Full(t_139)
| fifo_length != int_level(t_139) ),
inference(definition_unfolding,[],[f114,f26]) ).
fof(f118,plain,
( p_Full(t_139)
| fifo_length = int_level(t_139) ),
inference(definition_unfolding,[],[f116,f26]) ).
fof(f120,definition,
( spl0_1
<=> fifo_length = int_level(t_139) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f121,plain,
( fifo_length = int_level(t_139)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,definition,
( spl0_2
<=> p_Full(t_139) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f124,plain,
( p_Full(t_139)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f125,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f118,f123,f120]) ).
fof(f126,plain,
( fifo_length != int_level(t_139)
| spl0_1 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f127,plain,
( ~ p_Full(t_139)
| spl0_2 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f128,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f117,f123,f120]) ).
fof(f133,plain,
( fifo_length != fifo_length
| ~ p_Full(t_139)
| spl0_1 ),
inference(superposition,[],[f126,f28]) ).
fof(f136,plain,
( ~ p_Full(t_139)
| spl0_1 ),
inference(trivial_inequality_removal,[],[f133]) ).
fof(f137,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f136,f124]) ).
fof(f138,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f137]) ).
fof(f139,plain,
( fifo_length != fifo_length
| p_Full(t_139)
| ~ spl0_1 ),
inference(superposition,[],[f27,f121]) ).
fof(f140,plain,
( p_Full(t_139)
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f139]) ).
fof(f141,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f140,f127]) ).
fof(f142,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f141]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f125]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f128]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f138]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f142]) ).
cnf(s5,plain,
spl0_1,
inference(rat,[],[s1,s3]) ).
cnf(s6,plain,
spl0_2,
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s6,s5]) ).
fof(f143,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV011-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:55:12 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 2.55/1.31 % (2664287)Input is clausal, will run a generic CNF schedule.
% 2.55/1.31 % (2664343)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3681809913:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.55/1.31 % (2664343)First to succeed.
% 2.55/1.31 % (2664343)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2664287"
% 2.55/1.31 % (2664340)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2194916059:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.55/1.31 % (2664339)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=3767798520:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.55/1.31 % (2664341)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3529372433:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.55/1.31 % (2664342)lrs+10_1_sil=8000:sp=occurrence:random_seed=2816652875:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.55/1.31 % (2664344)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3631609318:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.55/1.31 % (2664342)Also succeeded, but the first one will report.
% 2.55/1.31 % (2664345)dis-21_1_sil=8000:lcm=predicate:random_seed=3546382155: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)
% 2.55/1.31 % (2664344)Also succeeded, but the first one will report.
% 2.55/1.31 % (2664345)Also succeeded, but the first one will report.
% 2.55/1.31 % (2664343)Refutation found. Thanks to Tanya!
% 2.55/1.31 % SZS status Unsatisfiable for theBenchmark
% 2.55/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 2.55/1.31 % (2664343)------------------------------
% 2.55/1.31 % (2664343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.31 % (2664343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.31 % (2664343)CaDiCaL version: 2.1.3
% 2.55/1.31 % (2664343)Termination reason: Refutation
% 2.55/1.31 % (2664343)Time elapsed: 0.002 s
% 2.55/1.31 % (2664343)Peak memory usage: 89 MB
% 2.55/1.31 % (2664343)Instructions burned: 4 (million)
% 2.55/1.31 % (2664343)------------------------------
% 2.55/1.31 % (2664343)------------------------------
% 2.55/1.31 % (2664287)Success in time 0.265 s
% 2.55/1.31 % Vampire exiting
%------------------------------------------------------------------------------