%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV022-1 : 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 : n015.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 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 74 ( 25 unt; 6 def)
% Number of atoms : 136 ( 26 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 117 ( 55 ~; 56 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : gt(plus(X0,n1),n0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_2) ).
fof(f3,axiom,
! [X0] :
( ~ gt(X0,n0)
| gt(X0,minus(X0,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_3) ).
fof(f5,axiom,
! [X2,X0,X1] :
( minus(X0,X1) = X2
| plus(X2,X1) != X0
| def_10(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_5) ).
fof(f6,axiom,
! [X0,X1] :
( ~ def_10(X0,X1)
| ~ gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_6) ).
fof(f9,axiom,
! [X0,X1] :
( ~ gt(X0,X1)
| gt(plus(X0,n1),plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_8) ).
fof(f18,axiom,
! [X0] :
( X0 = n0
| gt(X0,n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_15) ).
fof(f19,plain,
! [X0] :
( n0 = X0
| gt(X0,n0) ),
inference(reorient_equations,[],[f18]) ).
fof(f24,axiom,
! [X0] : plus(n0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_19) ).
fof(f26,axiom,
! [X0] : level(X0) = int_level(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_21) ).
fof(f45,axiom,
! [X0] :
( p_Reset(X0)
| ~ p_Wr(X0)
| p_Rd(X0)
| ~ gt(fifo_length,int_level(X0))
| int_level(plus(X0,n1)) = plus(int_level(X0),n1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_35) ).
fof(f113,negated_conjecture,
plus(level(t_139),n1) = fifo_length,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f114,plain,
fifo_length = plus(level(t_139),n1),
inference(reorient_equations,[],[f113]) ).
fof(f115,negated_conjecture,
~ p_Rd(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f116,negated_conjecture,
p_Wr(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f117,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f118,negated_conjecture,
level(plus(t_139,n1)) != fifo_length,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).
fof(f119,plain,
fifo_length != level(plus(t_139,n1)),
inference(reorient_equations,[],[f118]) ).
fof(f120,plain,
fifo_length = plus(int_level(t_139),n1),
inference(definition_unfolding,[],[f114,f26]) ).
fof(f121,plain,
fifo_length != int_level(plus(t_139,n1)),
inference(definition_unfolding,[],[f119,f26]) ).
fof(f123,plain,
! [X2,X1] :
( def_10(X1,plus(X2,X1))
| minus(plus(X2,X1),X1) = X2 ),
inference(equality_resolution,[],[f5]) ).
fof(f125,plain,
! [X0] : ~ gt(plus(X0,n1),n0),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f126,plain,
! [X0] :
( ~ gt(X0,minus(X0,n1))
| gt(X0,n0) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f127,plain,
! [X0,X1] :
( ~ def_10(X0,X1)
| gt(X1,X0) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f128,plain,
! [X0,X1] :
( ~ gt(plus(X0,n1),plus(X1,n1))
| gt(X0,X1) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f135,plain,
! [X0] :
( ~ gt(X0,n0)
| n0 = X0 ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f144,plain,
! [X0] :
( ~ p_Rd(X0)
| ~ p_Wr(X0)
| p_Reset(X0)
| gt(fifo_length,int_level(X0))
| int_level(plus(X0,n1)) = plus(int_level(X0),n1) ),
inference(consistent_polarity_flipping,[],[f45]) ).
fof(f197,plain,
p_Rd(t_139),
inference(consistent_polarity_flipping,[],[f115]) ).
fof(f200,plain,
~ gt(fifo_length,n0),
inference(superposition,[],[f125,f120]) ).
fof(f238,definition,
( spl0_5
<=> n0 = int_level(t_139) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f240,plain,
( n0 = int_level(t_139)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f249,plain,
! [X0] :
( ~ gt(fifo_length,plus(X0,n1))
| gt(int_level(t_139),X0) ),
inference(superposition,[],[f128,f120]) ).
fof(f260,plain,
( ~ gt(fifo_length,n1)
| gt(int_level(t_139),n0) ),
inference(superposition,[],[f249,f24]) ).
fof(f263,definition,
( spl0_7
<=> gt(int_level(t_139),n0) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f265,plain,
( gt(int_level(t_139),n0)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f267,definition,
( spl0_8
<=> gt(fifo_length,n1) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f270,plain,
( spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f260,f267,f263]) ).
fof(f317,plain,
( def_10(n1,fifo_length)
| minus(fifo_length,n1) = int_level(t_139) ),
inference(superposition,[],[f123,f120]) ).
fof(f322,definition,
( spl0_17
<=> minus(fifo_length,n1) = int_level(t_139) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f324,plain,
( minus(fifo_length,n1) = int_level(t_139)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f326,definition,
( spl0_18
<=> def_10(n1,fifo_length) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f328,plain,
( def_10(n1,fifo_length)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f329,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f317,f326,f322]) ).
fof(f346,plain,
( ~ gt(fifo_length,int_level(t_139))
| gt(fifo_length,n0)
| ~ spl0_17 ),
inference(superposition,[],[f126,f324]) ).
fof(f347,plain,
( ~ gt(fifo_length,int_level(t_139))
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f346,f200]) ).
fof(f547,definition,
( spl0_37
<=> gt(fifo_length,int_level(t_139)) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f549,plain,
( gt(fifo_length,int_level(t_139))
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f551,plain,
( gt(fifo_length,n1)
| ~ spl0_18 ),
inference(resolution,[],[f328,f127]) ).
fof(f554,plain,
( spl0_8
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f551,f326,f267]) ).
fof(f568,plain,
( n0 = int_level(t_139)
| ~ spl0_7 ),
inference(resolution,[],[f265,f135]) ).
fof(f576,plain,
( spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f568,f263,f238]) ).
fof(f579,plain,
( ~ spl0_37
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f347,f322,f547]) ).
fof(f631,plain,
( ~ p_Wr(t_139)
| p_Reset(t_139)
| gt(fifo_length,int_level(t_139))
| plus(int_level(t_139),n1) = int_level(plus(t_139,n1)) ),
inference(resolution,[],[f144,f197]) ).
fof(f634,plain,
( p_Reset(t_139)
| gt(fifo_length,int_level(t_139))
| plus(int_level(t_139),n1) = int_level(plus(t_139,n1)) ),
inference(forward_subsumption_resolution,[],[f631,f116]) ).
fof(f636,plain,
( gt(fifo_length,int_level(t_139))
| plus(int_level(t_139),n1) = int_level(plus(t_139,n1)) ),
inference(forward_subsumption_resolution,[],[f634,f117]) ).
fof(f650,plain,
( fifo_length = int_level(plus(t_139,n1))
| gt(fifo_length,int_level(t_139)) ),
inference(forward_demodulation,[],[f636,f120]) ).
fof(f651,plain,
gt(fifo_length,int_level(t_139)),
inference(forward_subsumption_resolution,[],[f650,f121]) ).
fof(f652,plain,
spl0_37,
inference(avatar_split_clause,[],[f651,f547]) ).
fof(f763,plain,
( gt(fifo_length,n0)
| ~ spl0_5
| ~ spl0_37 ),
inference(superposition,[],[f549,f240]) ).
fof(f794,plain,
( $false
| ~ spl0_5
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f763,f200]) ).
fof(f795,plain,
( ~ spl0_5
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f794]) ).
cnf(s4,plain,
( spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f270]) ).
cnf(s8,plain,
( spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f329]) ).
cnf(s36,plain,
( spl0_8
| ~ spl0_18 ),
inference(sat_conversion,[],[f554]) ).
cnf(s39,plain,
( spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f576]) ).
cnf(s42,plain,
( ~ spl0_17
| ~ spl0_37 ),
inference(sat_conversion,[],[f579]) ).
cnf(s59,plain,
spl0_37,
inference(sat_conversion,[],[f652]) ).
cnf(s71,plain,
( ~ spl0_5
| ~ spl0_37 ),
inference(sat_conversion,[],[f795]) ).
cnf(s73,plain,
~ spl0_5,
inference(rat,[],[s71,s59]) ).
cnf(s76,plain,
~ spl0_17,
inference(rat,[],[s42,s59]) ).
cnf(s77,plain,
~ spl0_7,
inference(rat,[],[s39,s73]) ).
cnf(s78,plain,
spl0_18,
inference(rat,[],[s8,s76]) ).
cnf(s79,plain,
spl0_8,
inference(rat,[],[s36,s78]) ).
cnf(s80,plain,
$false,
inference(rat,[],[s4,s79,s77]) ).
fof(f802,plain,
$false,
inference(avatar_sat_refutation,[],[s80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV022-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n015.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 11:01:00 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44 Running first-order model finding
% 0.12/0.44 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
% 0.18/0.50 % (1485636)Will run a generic schedule for satisfiability detection.
% 0.18/0.50 % (1485641)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2861634563_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.50 % (1485642)% WARNING: option uhcvi not known.
% 0.18/0.50 % TRYING [1]
% 0.18/0.50 % TRYING [2]
% 0.18/0.50 % (1485642)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1041039289:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.50 % TRYING [3]
% 0.18/0.50 % (1485646)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=149327949:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.50 % (1485643)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2121020959:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.50 % (1485644)dis+10_1_sil=32000:sp=arity:random_seed=1462967577:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.50 % (1485645)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2588103477:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.50 % (1485647)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4041065166:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.50 % TRYING [4]
% 0.18/0.50 % TRYING [5]
% 0.18/0.50 % (1485642) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1485636-1485642"...
% 0.18/0.50 % (1485642)...printing done.
% 0.18/0.50 % (1485642)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (1485642)------------------------------
% 0.18/0.50 % (1485642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.50 % (1485642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.50 % (1485642)CaDiCaL version: 2.1.3
% 0.18/0.50 % (1485642)Termination reason: Refutation
% 0.18/0.50 % (1485642)Time elapsed: 0.017 s
% 0.18/0.50 % (1485642)Peak memory usage: 13 MB
% 0.18/0.50 % (1485642)Instructions burned: 22 (million)
% 0.18/0.50 % (1485636)Success in time 0.056 s
% 0.18/0.50 % Vampire exiting
%------------------------------------------------------------------------------