%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV025-1 : 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 10:20:16 AM UTC 2026
% Result : Unsatisfiable 3.95s 1.56s
% Output : Refutation 3.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 11 unt; 5 def)
% Number of atoms : 133 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 133 ( 47 ~; 81 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f63,axiom,
! [X0] :
( ~ p_Rd_error(plus(X0,n1))
| ~ p_Wr(X0)
| p_Rd(X0)
| p_Reset(X0)
| p_Rd_error(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).
fof(f64,axiom,
! [X0] :
( p_Rd_error(plus(X0,n1))
| ~ p_Wr(X0)
| p_Rd(X0)
| p_Reset(X0)
| ~ p_Rd_error(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_50) ).
fof(f107,axiom,
! [X0] :
( ~ p_Rd_error(plus(X0,n1))
| p_Wr(X0)
| p_Rd(X0)
| p_Reset(X0)
| p_Rd_error(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_85) ).
fof(f108,axiom,
! [X0] :
( p_Rd_error(plus(X0,n1))
| p_Wr(X0)
| p_Rd(X0)
| p_Reset(X0)
| ~ p_Rd_error(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_86) ).
fof(f113,negated_conjecture,
~ p_Rd(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f114,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f115,negated_conjecture,
( ~ p_Rd_error(t_139)
| ~ p_Rd_error(plus(t_139,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f116,negated_conjecture,
( p_Rd_error(t_139)
| p_Rd_error(plus(t_139,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f163,definition,
( spl1_1
<=> p_Rd_error(plus(t_139,n1)) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f164,plain,
( p_Rd_error(plus(t_139,n1))
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f166,definition,
( spl1_2
<=> p_Rd_error(t_139) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f168,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f116,f166,f163]) ).
fof(f169,plain,
( ~ p_Rd_error(plus(t_139,n1))
| spl1_1 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f171,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f115,f166,f163]) ).
fof(f234,plain,
( ~ p_Wr(t_139)
| p_Rd(t_139)
| p_Reset(t_139)
| ~ p_Rd_error(t_139)
| spl1_1 ),
inference(resolution,[],[f64,f169]) ).
fof(f239,definition,
( spl1_3
<=> p_Reset(t_139) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f240,plain,
( p_Reset(t_139)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f242,definition,
( spl1_4
<=> p_Rd(t_139) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f243,plain,
( p_Rd(t_139)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f245,definition,
( spl1_5
<=> p_Wr(t_139) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f247,plain,
( ~ spl1_2
| spl1_3
| spl1_4
| ~ spl1_5
| spl1_1 ),
inference(avatar_split_clause,[],[f234,f163,f245,f242,f239,f166]) ).
fof(f257,plain,
( p_Wr(t_139)
| p_Rd(t_139)
| p_Reset(t_139)
| ~ p_Rd_error(t_139)
| spl1_1 ),
inference(resolution,[],[f108,f169]) ).
fof(f264,plain,
( ~ spl1_2
| spl1_3
| spl1_4
| spl1_5
| spl1_1 ),
inference(avatar_split_clause,[],[f257,f163,f245,f242,f239,f166]) ).
fof(f265,plain,
( $false
| ~ spl1_4 ),
inference(resolution,[],[f243,f113]) ).
fof(f266,plain,
~ spl1_4,
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f267,plain,
( $false
| ~ spl1_3 ),
inference(resolution,[],[f240,f114]) ).
fof(f268,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f267]) ).
fof(f269,plain,
( p_Wr(t_139)
| p_Rd(t_139)
| p_Reset(t_139)
| p_Rd_error(t_139)
| ~ spl1_1 ),
inference(resolution,[],[f164,f107]) ).
fof(f270,plain,
( ~ p_Wr(t_139)
| p_Rd(t_139)
| p_Reset(t_139)
| p_Rd_error(t_139)
| ~ spl1_1 ),
inference(resolution,[],[f164,f63]) ).
fof(f272,plain,
( spl1_2
| spl1_3
| spl1_4
| ~ spl1_5
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f270,f163,f245,f242,f239,f166]) ).
fof(f273,plain,
( spl1_2
| spl1_3
| spl1_4
| spl1_5
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f269,f163,f245,f242,f239,f166]) ).
cnf(s1,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f168]) ).
cnf(s2,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f171]) ).
cnf(s3,plain,
( spl1_1
| ~ spl1_2
| spl1_3
| spl1_4
| ~ spl1_5 ),
inference(sat_conversion,[],[f247]) ).
cnf(s4,plain,
( spl1_1
| ~ spl1_2
| spl1_3
| spl1_4
| spl1_5 ),
inference(sat_conversion,[],[f264]) ).
cnf(s5,plain,
~ spl1_4,
inference(sat_conversion,[],[f266]) ).
cnf(s6,plain,
~ spl1_3,
inference(sat_conversion,[],[f268]) ).
cnf(s7,plain,
( ~ spl1_1
| spl1_2
| spl1_3
| spl1_4
| ~ spl1_5 ),
inference(sat_conversion,[],[f272]) ).
cnf(s8,plain,
( ~ spl1_1
| spl1_2
| spl1_3
| spl1_4
| spl1_5 ),
inference(sat_conversion,[],[f273]) ).
cnf(s9,plain,
( spl1_1
| ~ spl1_2
| spl1_5 ),
inference(rat,[],[s4,s5,s6]) ).
cnf(s10,plain,
( spl1_1
| ~ spl1_2
| ~ spl1_5 ),
inference(rat,[],[s3,s5,s6]) ).
cnf(s11,plain,
( spl1_1
| ~ spl1_2 ),
inference(rat,[],[s10,s9]) ).
cnf(s12,plain,
spl1_1,
inference(rat,[],[s11,s1]) ).
cnf(s13,plain,
~ spl1_2,
inference(rat,[],[s2,s12]) ).
cnf(s14,plain,
spl1_5,
inference(rat,[],[s8,s12,s5,s6,s13]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s7,s12,s5,s6,s14,s13]) ).
fof(f274,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV025-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 11:00:56 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 3.95/1.56 % (2666641)Input is clausal, will run a generic CNF schedule.
% 3.95/1.56 % (2666667)dis-21_1_sil=8000:lcm=predicate:random_seed=2147745560: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)
% 3.95/1.56 % (2666667)First to succeed.
% 3.95/1.56 % (2666667)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2666641"
% 3.95/1.56 % (2666663)lrs+10_1_sil=8000:sp=occurrence:random_seed=1751848571:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.95/1.56 % (2666664)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=138869358:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.95/1.56 % (2666660)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=754390818:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.95/1.56 % (2666659)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=659568255:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.95/1.56 % (2666662)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2668519068:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.95/1.56 % (2666663)Also succeeded, but the first one will report.
% 3.95/1.56 % (2666664)Also succeeded, but the first one will report.
% 3.95/1.56 % (2666665)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1426018603:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.95/1.56 % (2666665)Also succeeded, but the first one will report.
% 3.95/1.56 % (2666667)Refutation found. Thanks to Tanya!
% 3.95/1.56 % SZS status Unsatisfiable for theBenchmark
% 3.95/1.56 % SZS output start Proof for theBenchmark
% See solution above
% 3.95/1.56 % (2666667)------------------------------
% 3.95/1.56 % (2666667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.56 % (2666667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.56 % (2666667)CaDiCaL version: 2.1.3
% 3.95/1.56 % (2666667)Termination reason: Refutation
% 3.95/1.56 % (2666667)Time elapsed: 0.006 s
% 3.95/1.56 % (2666667)Peak memory usage: 89 MB
% 3.95/1.56 % (2666667)Instructions burned: 7 (million)
% 3.95/1.56 % (2666667)------------------------------
% 3.95/1.56 % (2666667)------------------------------
% 3.95/1.56 % (2666641)Success in time 0.478 s
% 3.95/1.56 % Vampire exiting
%------------------------------------------------------------------------------