%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO007-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 09:53:14 AM UTC 2026
% Result : Unsatisfiable 0.61s 0.47s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 13 unt; 2 def)
% Number of atoms : 62 ( 3 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 55 ( 26 ~; 27 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
fof(f61,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X2,X3)
| ~ between(X0,X1,X2)
| between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b5) ).
fof(f86,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X1,X3)
| ~ between(X0,X1,X2)
| X0 = X1
| between(X0,X2,X3)
| between(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b12) ).
fof(f88,axiom,
a != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).
fof(f89,axiom,
between(d,a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_between_a_and_c) ).
fof(f90,axiom,
between(e,a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_between_a_and_e) ).
fof(f91,axiom,
~ between(d,e,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_not_between_d_and_a) ).
fof(f92,negated_conjecture,
~ between(e,d,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_d_between_e_and_a) ).
fof(f110,plain,
between(c,a,d),
inference(resolution,[],[f54,f89]) ).
fof(f111,plain,
between(c,a,e),
inference(resolution,[],[f54,f90]) ).
fof(f2764,plain,
! [X0] :
( ~ between(c,a,X0)
| a = c
| between(c,X0,e)
| between(c,e,X0) ),
inference(resolution,[],[f86,f111]) ).
fof(f2774,plain,
! [X0] :
( ~ between(c,a,X0)
| between(c,X0,e)
| between(c,e,X0) ),
inference(forward_subsumption_resolution,[],[f2764,f88]) ).
fof(f3358,plain,
( between(c,d,e)
| between(c,e,d) ),
inference(resolution,[],[f2774,f110]) ).
fof(f3367,definition,
( spl0_12
<=> between(c,e,d) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f3369,plain,
( between(c,e,d)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f3367]) ).
fof(f3371,definition,
( spl0_13
<=> between(c,d,e) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f3373,plain,
( between(c,d,e)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f3371]) ).
fof(f3374,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f3358,f3371,f3367]) ).
fof(f3382,plain,
( ! [X0] :
( ~ between(c,X0,e)
| between(X0,e,d) )
| ~ spl0_12 ),
inference(resolution,[],[f3369,f61]) ).
fof(f3549,plain,
( between(a,e,d)
| ~ spl0_12 ),
inference(resolution,[],[f3382,f111]) ).
fof(f3574,plain,
( between(d,e,a)
| ~ spl0_12 ),
inference(resolution,[],[f3549,f54]) ).
fof(f3590,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f3574,f91]) ).
fof(f3591,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f3590]) ).
fof(f3600,plain,
( ! [X0] :
( ~ between(c,X0,d)
| between(X0,d,e) )
| ~ spl0_13 ),
inference(resolution,[],[f3373,f61]) ).
fof(f3716,plain,
( between(a,d,e)
| ~ spl0_13 ),
inference(resolution,[],[f3600,f110]) ).
fof(f3720,plain,
( between(e,d,a)
| ~ spl0_13 ),
inference(resolution,[],[f3716,f54]) ).
fof(f3737,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f3720,f92]) ).
fof(f3738,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f3737]) ).
cnf(s30,plain,
( spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f3374]) ).
cnf(s34,plain,
~ spl0_12,
inference(sat_conversion,[],[f3591]) ).
cnf(s35,plain,
~ spl0_13,
inference(sat_conversion,[],[f3738]) ).
cnf(s36,plain,
$false,
inference(rat,[],[s30,s35,s34]) ).
fof(f3740,plain,
$false,
inference(avatar_sat_refutation,[],[s36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO007-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 27 06:30:05 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.32 Running first-order model finding
% 0.04/0.32 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
% 0.61/0.47 % (2013393)Will run a generic schedule for satisfiability detection.
% 0.61/0.47 % (2013399)% WARNING: option uhcvi not known.
% 0.61/0.47 % (2013398)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=916871671_2999 on theBenchmark for (2999ds/0Mi)
% 0.61/0.47 % (2013399)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2437648141:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.61/0.47 % (2013400)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3848942557:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.61/0.47 % (2013401)dis+10_1_sil=32000:sp=arity:random_seed=3860968743:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.61/0.47 % (2013403)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2222687206:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.61/0.47 % (2013402)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3047335773:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.61/0.47 % (2013404)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=18879664:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.61/0.47 % Detected minimum model sizes of [3]
% 0.61/0.47 % Detected maximum model sizes of [max]
% 0.61/0.47 % TRYING [3]
% 0.61/0.47 % (2013401)Instruction limit reached!
% 0.61/0.47 % (2013401)------------------------------
% 0.61/0.47 % (2013401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.47 % (2013401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.47 % (2013401)CaDiCaL version: 2.1.3
% 0.61/0.47 % (2013401)Termination reason: Instruction limit
% 0.61/0.47 % (2013401)Termination phase: Saturation
% 0.61/0.47 % (2013401)Time elapsed: 0.035 s
% 0.61/0.47 % (2013401)Peak memory usage: 12 MB
% 0.61/0.47 % (2013401)Instructions burned: 103 (million)
% 0.61/0.47 % (2013402)Instruction limit reached!
% 0.61/0.47 % (2013402)------------------------------
% 0.61/0.47 % (2013402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.47 % (2013402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.47 % (2013402)CaDiCaL version: 2.1.3
% 0.61/0.47 % (2013402)Termination reason: Instruction limit
% 0.61/0.47 % (2013402)Termination phase: Saturation
% 0.61/0.47 % (2013402)Time elapsed: 0.034 s
% 0.61/0.47 % (2013402)Peak memory usage: 12 MB
% 0.61/0.47 % (2013402)Instructions burned: 120 (million)
% 0.61/0.47 % TRYING [4]
% 0.61/0.47 % (2013403)Instruction limit reached!
% 0.61/0.47 % (2013403)------------------------------
% 0.61/0.47 % (2013403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.47 % (2013403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.47 % (2013403)CaDiCaL version: 2.1.3
% 0.61/0.47 % (2013403)Termination reason: Instruction limit
% 0.61/0.47 % (2013403)Termination phase: Saturation
% 0.61/0.47 % (2013403)Time elapsed: 0.046 s
% 0.61/0.47 % (2013403)Peak memory usage: 12 MB
% 0.61/0.47 % (2013403)Instructions burned: 132 (million)
% 0.61/0.47 % (2013413)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1808772352:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.61/0.47 % (2013412)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3620498794:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.61/0.47 % Detected minimum model sizes of [3]
% 0.61/0.47 % Detected maximum model sizes of [max]
% 0.61/0.47 % TRYING [3]
% 0.61/0.47 % (2013416)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1194956540:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.61/0.47 % (2013404)Instruction limit reached!
% 0.61/0.47 % (2013404)------------------------------
% 0.61/0.47 % (2013404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.47 % (2013404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.47 % (2013404)CaDiCaL version: 2.1.3
% 0.61/0.47 % (2013404)Termination reason: Instruction limit
% 0.61/0.47 % (2013404)Termination phase: Saturation
% 0.61/0.47 % (2013404)Time elapsed: 0.060 s
% 0.61/0.47 % (2013404)Peak memory usage: 13 MB
% 0.61/0.47 % (2013404)Instructions burned: 159 (million)
% 0.61/0.47 % (2013418)ott-21_1_sil=16000:fs=off:random_seed=115054727:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.61/0.47 % (2013413)Instruction limit reached!
% 0.61/0.47 % (2013413)------------------------------
% 0.61/0.47 % (2013413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.47 % (2013413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.47 % (2013413)CaDiCaL version: 2.1.3
% 0.61/0.47 % (2013413)Termination reason: Instruction limit
% 0.61/0.47 % (2013413)Termination phase: Saturation
% 0.61/0.47 % (2013413)Time elapsed: 0.043 s
% 0.61/0.47 % (2013413)Peak memory usage: 12 MB
% 0.61/0.47 % (2013413)Instructions burned: 134 (million)
% 0.61/0.47 % TRYING [4]
% 0.61/0.47 % (2013420)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=423012399:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.61/0.47 % (2013416) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2013393-2013416"...
% 0.61/0.47 % (2013416)...printing done.
% 0.61/0.47 % (2013416)Refutation found. Thanks to Tanya!
% 0.61/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.61/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.47 % (2013416)------------------------------
% 0.61/0.47 % (2013416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.47 % (2013416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.47 % (2013416)CaDiCaL version: 2.1.3
% 0.61/0.47 % (2013416)Termination reason: Refutation
% 0.61/0.47 % (2013416)Time elapsed: 0.050 s
% 0.61/0.47 % (2013416)Peak memory usage: 13 MB
% 0.61/0.47 % (2013416)Instructions burned: 146 (million)
% 0.61/0.47 % (2013393)Success in time 0.141 s
% 0.61/0.47 % Vampire exiting
%------------------------------------------------------------------------------