%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO006-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:53:13 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 11 unt; 2 def)
% Number of atoms : 39 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 13 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
fof(f55,axiom,
! [X2,X0,X1] :
( ~ between(X1,X0,X2)
| ~ between(X0,X1,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b2) ).
fof(f57,axiom,
a != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).
fof(f59,axiom,
c != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_not_d) ).
fof(f60,axiom,
between(a,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_between_a_and_d) ).
fof(f61,negated_conjecture,
( between(c,a,d)
| between(a,d,c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_not_between_others) ).
fof(f73,definition,
( spl0_1
<=> between(a,d,c) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f75,plain,
( between(a,d,c)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f77,definition,
( spl0_2
<=> between(c,a,d) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f80,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f61,f77,f73]) ).
fof(f88,plain,
between(d,c,a),
inference(resolution,[],[f53,f60]) ).
fof(f194,plain,
( ~ between(c,a,d)
| a = c ),
inference(resolution,[],[f55,f60]) ).
fof(f204,plain,
~ between(c,a,d),
inference(forward_subsumption_resolution,[],[f194,f57]) ).
fof(f205,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f204,f77]) ).
fof(f207,plain,
( between(c,d,a)
| ~ spl0_1 ),
inference(resolution,[],[f75,f53]) ).
fof(f209,plain,
( ~ between(d,c,a)
| c = d
| ~ spl0_1 ),
inference(resolution,[],[f207,f55]) ).
fof(f211,plain,
( c = d
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f209,f88]) ).
fof(f212,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f211,f59]) ).
fof(f213,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f212]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f80]) ).
cnf(s5,plain,
~ spl0_2,
inference(sat_conversion,[],[f205]) ).
cnf(s6,plain,
~ spl0_1,
inference(sat_conversion,[],[f213]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s5,s6]) ).
fof(f214,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO006-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 06:34:45 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.18/0.47 % (1288490)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (1288495)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3376386423_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.47 % Detected minimum model sizes of [3]
% 0.18/0.47 % Detected maximum model sizes of [max]
% 0.18/0.47 % TRYING [3]
% 0.18/0.47 % (1288496)% WARNING: option uhcvi not known.
% 0.18/0.47 % (1288496)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2646196529:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47 % (1288497)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3370429968:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.47 % (1288498)dis+10_1_sil=32000:sp=arity:random_seed=3174312711:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.47 % (1288500)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1733201323:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.47 % (1288499)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3334656599:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47 % (1288501)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3375249411:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.47 % (1288496) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1288490-1288496"...
% 0.18/0.47 % (1288498) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1288490-1288498"...
% 0.18/0.47 % (1288500) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1288490-1288500"...
% 0.18/0.47 % (1288498)...printing done.
% 0.18/0.47 % (1288496)...printing done.
% 0.18/0.47 % (1288497) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1288490-1288497"...
% 0.18/0.47 % (1288501) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1288490-1288501"...
% 0.18/0.47 % (1288498)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (1288498)------------------------------
% 0.18/0.47 % (1288498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (1288498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (1288498)CaDiCaL version: 2.1.3
% 0.18/0.47 % (1288498)Termination reason: Refutation
% 0.18/0.47 % (1288498)Time elapsed: 0.004 s
% 0.18/0.47 % (1288498)Peak memory usage: 12 MB
% 0.18/0.47 % (1288498)Instructions burned: 4 (million)
% 0.18/0.47 % (1288490)Success in time 0.048 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------