%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV024-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 2.59s 1.32s
% Output : Refutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 6 unt; 2 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 93 ( 36 ~; 55 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [X0,X1] :
( ~ p_Data_out(X1,plus(X0,n1))
| ~ p_Reset(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
fof(f61,axiom,
! [X0,X1] :
( p_Reset(X0)
| ~ p_Wr(X0)
| p_Rd(X0)
| ~ p_Data_out(X1,plus(X0,n1))
| p_Data_out(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).
fof(f62,axiom,
! [X0,X1] :
( p_Reset(X0)
| ~ p_Wr(X0)
| p_Rd(X0)
| p_Data_out(X1,plus(X0,n1))
| ~ p_Data_out(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_48) ).
fof(f105,axiom,
! [X0,X1] :
( p_Reset(X0)
| p_Wr(X0)
| p_Rd(X0)
| ~ p_Data_out(X1,plus(X0,n1))
| p_Data_out(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_83) ).
fof(f106,axiom,
! [X0,X1] :
( p_Reset(X0)
| p_Wr(X0)
| p_Rd(X0)
| p_Data_out(X1,plus(X0,n1))
| ~ p_Data_out(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_84) ).
fof(f113,negated_conjecture,
~ p_Rd(x_140),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f114,negated_conjecture,
~ p_Reset(x_140),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f115,negated_conjecture,
( ~ p_Data_out(x_139,x_140)
| ~ p_Data_out(x_139,plus(x_140,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f116,negated_conjecture,
( p_Data_out(x_139,x_140)
| p_Data_out(x_139,plus(x_140,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f118,plain,
! [X0,X1] :
( ~ p_Data_out(X1,plus(X0,n1))
| p_Rd(X0)
| ~ p_Wr(X0)
| p_Data_out(X1,X0) ),
inference(forward_subsumption_resolution,[],[f61,f42]) ).
fof(f122,plain,
! [X0,X1] :
( p_Wr(X0)
| p_Rd(X0)
| ~ p_Data_out(X1,plus(X0,n1))
| p_Data_out(X1,X0) ),
inference(forward_subsumption_resolution,[],[f105,f42]) ).
fof(f123,plain,
! [X0,X1] :
( p_Data_out(X1,plus(X0,n1))
| p_Rd(X0)
| p_Reset(X0)
| ~ p_Data_out(X1,X0) ),
inference(forward_subsumption_resolution,[],[f106,f62]) ).
fof(f125,definition,
( spl0_1
<=> p_Data_out(x_139,plus(x_140,n1)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f126,plain,
( ~ p_Data_out(x_139,plus(x_140,n1))
| spl0_1 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f127,plain,
( p_Data_out(x_139,plus(x_140,n1))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f129,definition,
( spl0_2
<=> p_Data_out(x_139,x_140) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f130,plain,
( ~ p_Data_out(x_139,x_140)
| spl0_2 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f131,plain,
( p_Data_out(x_139,x_140)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f132,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f116,f129,f125]) ).
fof(f133,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f115,f129,f125]) ).
fof(f135,plain,
! [X0,X1] :
( ~ p_Data_out(X1,plus(X0,n1))
| p_Rd(X0)
| p_Data_out(X1,X0) ),
inference(forward_subsumption_resolution,[],[f122,f118]) ).
fof(f201,plain,
( p_Rd(x_140)
| p_Reset(x_140)
| ~ p_Data_out(x_139,x_140)
| spl0_1 ),
inference(resolution,[],[f123,f126]) ).
fof(f208,plain,
( p_Reset(x_140)
| ~ p_Data_out(x_139,x_140)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f201,f113]) ).
fof(f209,plain,
( ~ p_Data_out(x_139,x_140)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f208,f114]) ).
fof(f210,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f209,f131]) ).
fof(f211,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f210]) ).
fof(f213,plain,
( p_Rd(x_140)
| p_Data_out(x_139,x_140)
| ~ spl0_1 ),
inference(resolution,[],[f127,f135]) ).
fof(f215,plain,
( p_Data_out(x_139,x_140)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f213,f113]) ).
fof(f217,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f215,f130]) ).
fof(f218,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f217]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f132]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f133]) ).
cnf(s5,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f211]) ).
cnf(s6,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f218]) ).
cnf(s7,plain,
spl0_1,
inference(rat,[],[s1,s5]) ).
cnf(s8,plain,
spl0_2,
inference(rat,[],[s6,s7]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s2,s8,s7]) ).
fof(f220,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV024-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n008.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 10:58:55 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 2.59/1.32 % (1050648)Input is clausal, will run a generic CNF schedule.
% 2.59/1.32 % (1050656)lrs+10_1_sil=8000:sp=occurrence:random_seed=580930024:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.59/1.32 % (1050656)First to succeed.
% 2.59/1.32 % (1050656)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1050648"
% 2.59/1.32 % (1050658)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=734192015:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.59/1.32 % (1050654)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2150524880:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.59/1.32 % (1050659)dis-21_1_sil=8000:lcm=predicate:random_seed=3328213782: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)
% 2.59/1.32 % (1050653)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=2859316275:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.59/1.32 % (1050657)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1044309346:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.59/1.32 % (1050655)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2020879025:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.59/1.32 % (1050658)Also succeeded, but the first one will report.
% 2.59/1.32 % (1050659)Also succeeded, but the first one will report.
% 2.59/1.32 % (1050657)Also succeeded, but the first one will report.
% 2.59/1.32 % (1050656)Refutation found. Thanks to Tanya!
% 2.59/1.32 % SZS status Unsatisfiable for theBenchmark
% 2.59/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 2.59/1.32 % (1050656)------------------------------
% 2.59/1.32 % (1050656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.32 % (1050656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.32 % (1050656)CaDiCaL version: 2.1.3
% 2.59/1.32 % (1050656)Termination reason: Refutation
% 2.59/1.32 % (1050656)Time elapsed: 0.003 s
% 2.59/1.32 % (1050656)Peak memory usage: 89 MB
% 2.59/1.32 % (1050656)Instructions burned: 5 (million)
% 2.59/1.32 % (1050656)------------------------------
% 2.59/1.32 % (1050656)------------------------------
% 2.59/1.32 % (1050648)Success in time 0.279 s
% 2.59/1.32 % Vampire exiting
%------------------------------------------------------------------------------