%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM839+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 12:25:52 PM UTC 2026
% Result : Theorem 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 15 unt; 2 def)
% Number of atoms : 55 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 25 ~; 18 |; 0 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
greater(vd328,vd329),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq(204), 332, 0)') ).
fof(f2,negated_conjecture,
~ greater(vd328,vd329),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
greater(vplus(vd328,vd330),vplus(vd329,vd330)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(204), 331, 0)') ).
fof(f4,axiom,
! [X0,X1,X2] :
( less(X0,X1)
=> less(vplus(X0,X2),vplus(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 0)') ).
fof(f17,axiom,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f19,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f20,axiom,
! [X0,X1] :
( X0 != X1
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof(f37,plain,
~ greater(vd328,vd329),
inference(flattening,[],[f2]) ).
fof(f38,plain,
! [X0,X1,X2] :
( less(vplus(X0,X2),vplus(X1,X2))
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f56,plain,
~ greater(vd328,vd329),
inference(cnf_transformation,[],[f37]) ).
fof(f57,plain,
greater(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(cnf_transformation,[],[f3]) ).
fof(f58,plain,
! [X2,X0,X1] :
( less(vplus(X0,X2),vplus(X1,X2))
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f76,plain,
! [X0,X1] :
( greater(X0,X1)
| less(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f78,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f79,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f109,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f79]) ).
fof(f125,plain,
~ less(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(resolution,[],[f57,f78]) ).
fof(f216,plain,
( less(vd328,vd329)
| vd328 = vd329 ),
inference(resolution,[],[f76,f56]) ).
fof(f221,definition,
( spl4_1
<=> vd328 = vd329 ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f223,plain,
( vd328 = vd329
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f225,definition,
( spl4_2
<=> less(vd328,vd329) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f227,plain,
( less(vd328,vd329)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f228,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f216,f225,f221]) ).
fof(f250,plain,
~ less(vd328,vd329),
inference(resolution,[],[f58,f125]) ).
fof(f267,plain,
( $false
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f250,f227]) ).
fof(f268,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f267]) ).
fof(f272,plain,
( greater(vplus(vd328,vd330),vplus(vd328,vd330))
| ~ spl4_1 ),
inference(superposition,[],[f57,f223]) ).
fof(f278,plain,
( $false
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f272,f109]) ).
fof(f279,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f278]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f228]) ).
cnf(s3,plain,
~ spl4_2,
inference(sat_conversion,[],[f268]) ).
cnf(s4,plain,
~ spl4_1,
inference(sat_conversion,[],[f279]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s4]) ).
fof(f280,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM839+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 21:32:26 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.19/0.46 % (3223724)Will run a generic schedule for satisfiability detection.
% 0.19/0.46 % (3223729)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=986385824_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.46 % TRYING [1]
% 0.19/0.46 % TRYING [2]
% 0.19/0.46 % TRYING [3]
% 0.19/0.46 % (3223730)% WARNING: option uhcvi not known.
% 0.19/0.46 % TRYING [4]
% 0.19/0.46 % (3223730)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3135721684:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.46 % (3223731)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1711976600:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.46 % (3223732)dis+10_1_sil=32000:sp=arity:random_seed=365448245:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.46 % (3223734)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3194704970:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.46 % (3223733)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1954947622:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.46 % (3223735)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2216483910:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.46 % TRYING [5]
% 0.19/0.46 % (3223733) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3223724-3223733"...
% 0.19/0.46 % (3223733)...printing done.
% 0.19/0.46 % (3223733)Refutation found. Thanks to Tanya!
% 0.19/0.46 % SZS status Theorem for theBenchmark
% 0.19/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46 % (3223733)------------------------------
% 0.19/0.46 % (3223733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.46 % (3223733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.46 % (3223733)CaDiCaL version: 2.1.3
% 0.19/0.46 % (3223733)Termination reason: Refutation
% 0.19/0.46 % (3223733)Time elapsed: 0.007 s
% 0.19/0.46 % (3223733)Peak memory usage: 12 MB
% 0.19/0.46 % (3223733)Instructions burned: 8 (million)
% 0.19/0.46 % (3223724)Success in time 0.042 s
% 0.19/0.46 % Vampire exiting
%------------------------------------------------------------------------------