%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO046-3 : 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 : n018.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 09:53:24 AM UTC 2026
% Result : Unsatisfiable 0.25s 0.46s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 13 unt; 1 def)
% Number of atoms : 44 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 16 ~; 17 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 14 !; 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(f60,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X2,X3)
| ~ between(X0,X1,X2)
| between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b5) ).
fof(f61,axiom,
! [X2,X3,X0,X1] :
( ~ between(X1,X2,X3)
| ~ between(X0,X1,X2)
| between(X0,X2,X3)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b6) ).
fof(f63,axiom,
between(u,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_x) ).
fof(f64,axiom,
between(v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_v_and_x) ).
fof(f65,negated_conjecture,
~ between(u,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_w_between_u_and_x) ).
fof(f82,plain,
between(x,v,u),
inference(resolution,[],[f53,f63]) ).
fof(f83,plain,
between(x,w,v),
inference(resolution,[],[f53,f64]) ).
fof(f191,definition,
( spl0_1
<=> v = w ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f192,plain,
( v != w
| spl0_1 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f193,plain,
( v = w
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f258,plain,
! [X0] :
( ~ between(x,X0,v)
| between(X0,v,u) ),
inference(resolution,[],[f60,f82]) ).
fof(f294,plain,
( ~ between(u,v,x)
| ~ spl0_1 ),
inference(superposition,[],[f65,f193]) ).
fof(f295,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f294,f63]) ).
fof(f296,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f295]) ).
fof(f373,plain,
! [X0] :
( ~ between(X0,v,w)
| between(X0,w,x)
| v = w ),
inference(resolution,[],[f61,f64]) ).
fof(f374,plain,
( ! [X0] :
( ~ between(X0,v,w)
| between(X0,w,x) )
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f373,f192]) ).
fof(f597,plain,
between(w,v,u),
inference(resolution,[],[f258,f83]) ).
fof(f615,plain,
between(u,v,w),
inference(resolution,[],[f597,f53]) ).
fof(f638,plain,
( between(u,w,x)
| spl0_1 ),
inference(resolution,[],[f615,f374]) ).
fof(f651,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f638,f65]) ).
fof(f652,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f651]) ).
cnf(s13,plain,
~ spl0_1,
inference(sat_conversion,[],[f296]) ).
cnf(s23,plain,
spl0_1,
inference(sat_conversion,[],[f652]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s13,s23]) ).
fof(f653,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO046-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n018.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 06:45:08 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.25/0.46 % (1972762)Will run a generic schedule for satisfiability detection.
% 0.25/0.46 % (1972771)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2840556836:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.25/0.46 % (1972768)% WARNING: option uhcvi not known.
% 0.25/0.46 % (1972767)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4031693805_2999 on theBenchmark for (2999ds/0Mi)
% 0.25/0.46 % (1972769)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=335506393:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.25/0.46 % (1972770)dis+10_1_sil=32000:sp=arity:random_seed=2633459057:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.25/0.46 % (1972772)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3716890961:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.25/0.46 % (1972773)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3084041483:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.25/0.46 % (1972768)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3936113498:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.25/0.46 % TRYING [1]
% 0.25/0.46 % TRYING [2]
% 0.25/0.46 % TRYING [3]
% 0.25/0.46 % (1972770) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1972762-1972770"...
% 0.25/0.46 % (1972770)...printing done.
% 0.25/0.46 % (1972768) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1972762-1972768"...
% 0.25/0.46 % (1972770)Refutation found. Thanks to Tanya!
% 0.25/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.25/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.46 % (1972770)------------------------------
% 0.25/0.46 % (1972770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.46 % (1972770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.46 % (1972770)CaDiCaL version: 2.1.3
% 0.25/0.46 % (1972770)Termination reason: Refutation
% 0.25/0.46 % (1972770)Time elapsed: 0.016 s
% 0.25/0.46 % (1972770)Peak memory usage: 12 MB
% 0.25/0.46 % (1972770)Instructions burned: 22 (million)
% 0.25/0.46 % (1972762)Success in time 0.055 s
% 0.25/0.46 % Vampire exiting
%------------------------------------------------------------------------------