%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV018-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 10:58:57 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 15 unt; 2 def)
% Number of atoms : 86 ( 14 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 62 ( 17 ~; 43 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_17) ).
fof(f27,axiom,
! [X0] :
( int_level(X0) != fifo_length
| p_Full(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_22) ).
fof(f28,axiom,
! [X0] :
( ~ p_Full(X0)
| int_level(X0) = fifo_length ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_23) ).
fof(f55,axiom,
! [X0] :
( ~ p_Wr(X0)
| p_Reset(X0)
| p_Rd(X0)
| gt(fifo_length,int_level(X0))
| p_Wr_error(plus(X0,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_42) ).
fof(f57,axiom,
! [X0] :
( p_Reset(X0)
| ~ p_Wr(X0)
| p_Rd(X0)
| gt(fifo_length,int_level(X0))
| int_level(plus(X0,n1)) = int_level(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_44) ).
fof(f58,plain,
! [X0] :
( p_Reset(X0)
| ~ p_Wr(X0)
| p_Rd(X0)
| gt(fifo_length,int_level(X0))
| int_level(X0) = int_level(plus(X0,n1)) ),
inference(reorient_equations,[],[f57]) ).
fof(f103,axiom,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| p_Rd(X0)
| int_level(plus(X0,n1)) = int_level(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_82) ).
fof(f104,plain,
! [X0] :
( p_Rd(X0)
| p_Wr(X0)
| p_Reset(X0)
| int_level(X0) = int_level(plus(X0,n1)) ),
inference(reorient_equations,[],[f103]) ).
fof(f113,negated_conjecture,
~ p_Rd(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f114,negated_conjecture,
p_Wr(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f115,negated_conjecture,
p_Full(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f116,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f117,negated_conjecture,
( ~ p_Full(plus(t_139,n1))
| ~ p_Wr_error(plus(t_139,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).
fof(f119,definition,
( spl0_1
<=> p_Wr_error(plus(t_139,n1)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f121,plain,
( ~ p_Wr_error(plus(t_139,n1))
| spl0_1 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f123,definition,
( spl0_2
<=> p_Full(plus(t_139,n1)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f125,plain,
( ~ p_Full(plus(t_139,n1))
| spl0_2 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f126,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f117,f123,f119]) ).
fof(f145,plain,
! [X0] :
( p_Rd(X0)
| p_Reset(X0)
| gt(fifo_length,int_level(X0))
| int_level(X0) = int_level(plus(X0,n1)) ),
inference(forward_subsumption_resolution,[],[f58,f104]) ).
fof(f174,plain,
fifo_length = int_level(t_139),
inference(resolution,[],[f28,f115]) ).
fof(f558,plain,
( p_Reset(t_139)
| p_Rd(t_139)
| gt(fifo_length,int_level(t_139))
| p_Wr_error(plus(t_139,n1)) ),
inference(resolution,[],[f55,f114]) ).
fof(f561,plain,
( p_Rd(t_139)
| gt(fifo_length,int_level(t_139))
| p_Wr_error(plus(t_139,n1)) ),
inference(forward_subsumption_resolution,[],[f558,f116]) ).
fof(f562,plain,
( gt(fifo_length,int_level(t_139))
| p_Wr_error(plus(t_139,n1)) ),
inference(forward_subsumption_resolution,[],[f561,f113]) ).
fof(f563,plain,
( gt(fifo_length,int_level(t_139))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f562,f121]) ).
fof(f564,plain,
( gt(fifo_length,fifo_length)
| spl0_1 ),
inference(forward_demodulation,[],[f563,f174]) ).
fof(f565,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f564,f22]) ).
fof(f566,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f565]) ).
fof(f646,plain,
( p_Reset(t_139)
| gt(fifo_length,int_level(t_139))
| int_level(t_139) = int_level(plus(t_139,n1)) ),
inference(resolution,[],[f145,f113]) ).
fof(f663,plain,
( gt(fifo_length,int_level(t_139))
| int_level(t_139) = int_level(plus(t_139,n1)) ),
inference(forward_subsumption_resolution,[],[f646,f116]) ).
fof(f666,plain,
( gt(fifo_length,fifo_length)
| int_level(t_139) = int_level(plus(t_139,n1)) ),
inference(forward_demodulation,[],[f663,f174]) ).
fof(f667,plain,
int_level(t_139) = int_level(plus(t_139,n1)),
inference(forward_subsumption_resolution,[],[f666,f22]) ).
fof(f668,plain,
fifo_length = int_level(plus(t_139,n1)),
inference(forward_demodulation,[],[f667,f174]) ).
fof(f670,plain,
( fifo_length != fifo_length
| p_Full(plus(t_139,n1)) ),
inference(superposition,[],[f27,f668]) ).
fof(f671,plain,
p_Full(plus(t_139,n1)),
inference(trivial_inequality_removal,[],[f670]) ).
fof(f672,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f671,f125]) ).
fof(f673,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f672]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f126]) ).
cnf(s23,plain,
spl0_1,
inference(sat_conversion,[],[f566]) ).
cnf(s26,plain,
spl0_2,
inference(sat_conversion,[],[f673]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s1,s26,s23]) ).
fof(f674,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV018-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n005.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 10:55:40 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 Running first-order model finding
% 0.11/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.45 % (3818578)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3818585)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3889750245:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (3818584)% WARNING: option uhcvi not known.
% 0.11/0.45 % (3818583)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1005755703_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % (3818584)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1964484495:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % (3818586)dis+10_1_sil=32000:sp=arity:random_seed=1368256436:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (3818587)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1008349933:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (3818588)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2737429041:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (3818589)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1119338490:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % TRYING [1]
% 0.11/0.45 % TRYING [2]
% 0.11/0.45 % TRYING [3]
% 0.11/0.45 % (3818584) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3818578-3818584"...
% 0.11/0.45 % (3818588) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3818578-3818588"...
% 0.11/0.45 % (3818586) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3818578-3818586"...
% 0.11/0.45 % (3818588)...printing done.
% 0.11/0.45 % (3818584)...printing done.
% 0.11/0.45 % (3818586)...printing done.
% 0.11/0.45 % (3818587) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3818578-3818587"...
% 0.11/0.45 % (3818588)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (3818588)------------------------------
% 0.11/0.45 % (3818588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (3818588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (3818588)CaDiCaL version: 2.1.3
% 0.11/0.45 % (3818588)Termination reason: Refutation
% 0.11/0.45 % (3818588)Time elapsed: 0.015 s
% 0.11/0.45 % (3818588)Peak memory usage: 12 MB
% 0.11/0.45 % (3818588)Instructions burned: 22 (million)
% 0.11/0.45 % (3818578)Success in time 0.052 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------