%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV025-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 10:58:59 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.44s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 6 unt; 2 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 88 ( 34 ~; 52 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40,axiom,
! [X0] :
( ~ p_Rd_error(plus(X0,n1))
| ~ p_Reset(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_30) ).
fof(f63,axiom,
! [X0] :
( p_Reset(X0)
| ~ p_Wr(X0)
| p_Rd(X0)
| ~ p_Rd_error(plus(X0,n1))
| p_Rd_error(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_49) ).
fof(f64,axiom,
! [X0] :
( p_Reset(X0)
| ~ p_Wr(X0)
| p_Rd(X0)
| p_Rd_error(plus(X0,n1))
| ~ p_Rd_error(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_50) ).
fof(f107,axiom,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| p_Rd(X0)
| ~ p_Rd_error(plus(X0,n1))
| p_Rd_error(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_85) ).
fof(f108,axiom,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| p_Rd(X0)
| p_Rd_error(plus(X0,n1))
| ~ p_Rd_error(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_86) ).
fof(f113,negated_conjecture,
~ p_Rd(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f114,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f115,negated_conjecture,
( ~ p_Rd_error(t_139)
| ~ p_Rd_error(plus(t_139,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f116,negated_conjecture,
( p_Rd_error(t_139)
| p_Rd_error(plus(t_139,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f121,definition,
( spl0_1
<=> p_Rd_error(plus(t_139,n1)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f122,plain,
( ~ p_Rd_error(plus(t_139,n1))
| spl0_1 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f123,plain,
( p_Rd_error(plus(t_139,n1))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f125,definition,
( spl0_2
<=> p_Rd_error(t_139) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f126,plain,
( ~ p_Rd_error(t_139)
| spl0_2 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f127,plain,
( p_Rd_error(t_139)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f116,f125,f121]) ).
fof(f129,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f115,f125,f121]) ).
fof(f142,plain,
! [X0] :
( p_Rd_error(plus(X0,n1))
| p_Rd(X0)
| p_Reset(X0)
| ~ p_Rd_error(X0) ),
inference(forward_subsumption_resolution,[],[f64,f108]) ).
fof(f143,plain,
! [X0] :
( p_Reset(X0)
| p_Rd(X0)
| ~ p_Rd_error(plus(X0,n1))
| p_Rd_error(X0) ),
inference(forward_subsumption_resolution,[],[f63,f107]) ).
fof(f161,plain,
! [X0] :
( ~ p_Rd_error(plus(X0,n1))
| p_Rd(X0)
| p_Rd_error(X0) ),
inference(forward_subsumption_resolution,[],[f143,f40]) ).
fof(f336,plain,
( p_Rd(t_139)
| p_Reset(t_139)
| ~ p_Rd_error(t_139)
| spl0_1 ),
inference(resolution,[],[f142,f122]) ).
fof(f345,plain,
( p_Reset(t_139)
| ~ p_Rd_error(t_139)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f336,f113]) ).
fof(f348,plain,
( ~ p_Rd_error(t_139)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f345,f114]) ).
fof(f351,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f348,f127]) ).
fof(f352,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f353,plain,
( p_Rd(t_139)
| p_Rd_error(t_139)
| ~ spl0_1 ),
inference(resolution,[],[f123,f161]) ).
fof(f355,plain,
( p_Rd_error(t_139)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f353,f113]) ).
fof(f356,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f355,f126]) ).
fof(f357,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f356]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f128]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f129]) ).
cnf(s13,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f352]) ).
cnf(s14,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f357]) ).
cnf(s15,plain,
spl0_1,
inference(rat,[],[s1,s13]) ).
cnf(s16,plain,
spl0_2,
inference(rat,[],[s14,s15]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s2,s16,s15]) ).
fof(f358,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----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/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 10:58:02 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 Running first-order model finding
% 0.09/0.39 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.44 % (3820315)Will run a generic schedule for satisfiability detection.
% 0.09/0.44 % (3820324)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4229775209:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.44 % (3820321)% WARNING: option uhcvi not known.
% 0.09/0.44 % (3820324) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3820315-3820324"...
% 0.09/0.44 % (3820320)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3194099586_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.44 % (3820322)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4145411392:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.44 % (3820326)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4231122486:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.44 % (3820323)dis+10_1_sil=32000:sp=arity:random_seed=2448017827:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.44 % (3820325)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1300286875:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.44 % (3820324)...printing done.
% 0.09/0.44 % (3820324)Refutation found. Thanks to Tanya!
% 0.09/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.44 % (3820324)------------------------------
% 0.09/0.44 % (3820324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.44 % (3820324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.44 % (3820324)CaDiCaL version: 2.1.3
% 0.09/0.44 % (3820324)Termination reason: Refutation
% 0.09/0.44 % (3820324)Time elapsed: 0.006 s
% 0.09/0.44 % (3820324)Peak memory usage: 12 MB
% 0.09/0.44 % (3820324)Instructions burned: 17 (million)
% 0.09/0.44 % (3820315)Success in time 0.038 s
% 0.09/0.44 % Vampire exiting
%------------------------------------------------------------------------------