%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO112-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 09:53:36 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.52s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 13 unt; 2 def)
% Number of atoms : 67 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 77 ( 42 ~; 33 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f66,axiom,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| X1 != X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_1) ).
fof(f67,axiom,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| part_of(ax1_sk1(X3,X2,X1,X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_2) ).
fof(f68,axiom,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| end_point(X1,ax1_sk1(X3,X2,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_3) ).
fof(f69,axiom,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| end_point(X3,ax1_sk1(X3,X2,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_4) ).
fof(f70,axiom,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| inner_point(X2,ax1_sk1(X3,X2,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_5) ).
fof(f71,axiom,
! [X2,X3,X0,X1,X4] :
( between_c(X3,X0,X4,X1)
| ~ part_of(X2,X3)
| ~ end_point(X0,X2)
| ~ end_point(X1,X2)
| ~ inner_point(X4,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_6) ).
fof(f72,negated_conjecture,
between_c(sk15,sk16,sk17,sk18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_2_77) ).
fof(f73,negated_conjecture,
~ between_c(sk15,sk18,sk17,sk16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_2_78) ).
fof(f78,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f66]) ).
fof(f162,plain,
part_of(ax1_sk1(sk18,sk17,sk16,sk15),sk15),
inference(resolution,[],[f67,f72]) ).
fof(f174,plain,
end_point(sk16,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(resolution,[],[f68,f72]) ).
fof(f186,plain,
end_point(sk18,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(resolution,[],[f69,f72]) ).
fof(f198,plain,
inner_point(sk17,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(resolution,[],[f70,f72]) ).
fof(f263,plain,
! [X0] :
( ~ part_of(X0,sk15)
| ~ end_point(sk18,X0)
| ~ end_point(sk16,X0)
| ~ inner_point(sk17,X0)
| sk16 = sk18 ),
inference(resolution,[],[f71,f73]) ).
fof(f271,definition,
( spl0_3
<=> sk16 = sk18 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f273,plain,
( sk16 = sk18
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f275,definition,
( spl0_4
<=> ! [X0] :
( ~ part_of(X0,sk15)
| ~ inner_point(sk17,X0)
| ~ end_point(sk16,X0)
| ~ end_point(sk18,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f276,plain,
( ! [X0] :
( ~ inner_point(sk17,X0)
| ~ part_of(X0,sk15)
| ~ end_point(sk16,X0)
| ~ end_point(sk18,X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f277,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f263,f275,f271]) ).
fof(f278,plain,
( between_c(sk15,sk16,sk17,sk16)
| ~ spl0_3 ),
inference(superposition,[],[f72,f273]) ).
fof(f285,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f278,f78]) ).
fof(f286,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f285]) ).
fof(f498,plain,
( ~ part_of(ax1_sk1(sk18,sk17,sk16,sk15),sk15)
| ~ end_point(sk16,ax1_sk1(sk18,sk17,sk16,sk15))
| ~ end_point(sk18,ax1_sk1(sk18,sk17,sk16,sk15))
| ~ spl0_4 ),
inference(resolution,[],[f198,f276]) ).
fof(f503,plain,
( ~ end_point(sk16,ax1_sk1(sk18,sk17,sk16,sk15))
| ~ end_point(sk18,ax1_sk1(sk18,sk17,sk16,sk15))
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f498,f162]) ).
fof(f504,plain,
( ~ end_point(sk18,ax1_sk1(sk18,sk17,sk16,sk15))
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f503,f174]) ).
fof(f505,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f504,f186]) ).
fof(f506,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f505]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f277]) ).
cnf(s3,plain,
~ spl0_3,
inference(sat_conversion,[],[f286]) ).
cnf(s5,plain,
~ spl0_4,
inference(sat_conversion,[],[f506]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s2,s5,s3]) ).
fof(f507,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO112-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n005.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 07:03:32 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 0.14/0.52 % (3641996)Will run a generic schedule for satisfiability detection.
% 0.14/0.52 % (3642006)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3918891318:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.52 % (3642002)% WARNING: option uhcvi not known.
% 0.14/0.52 % (3642001)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3349199185_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.52 % (3642002)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2240785337:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.52 % (3642003)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1546662715:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.52 % (3642004)dis+10_1_sil=32000:sp=arity:random_seed=1317814626:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.52 % (3642005)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1982921292:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.52 % (3642007)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1989634514:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.52 % TRYING [1]
% 0.14/0.52 % TRYING [2]
% 0.14/0.52 % TRYING [3]
% 0.14/0.52 % TRYING [4]
% 0.14/0.52 % (3642006)Instruction limit reached!
% 0.14/0.52 % (3642006)------------------------------
% 0.14/0.52 % (3642006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.52 % (3642006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.52 % (3642006)CaDiCaL version: 2.1.3
% 0.14/0.52 % (3642006)Termination reason: Instruction limit
% 0.14/0.52 % (3642006)Termination phase: Saturation
% 0.14/0.52 % (3642006)Time elapsed: 0.043 s
% 0.14/0.52 % (3642006)Peak memory usage: 12 MB
% 0.14/0.52 % (3642006)Instructions burned: 133 (million)
% 0.14/0.52 % (3642005) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3641996-3642005"...
% 0.14/0.52 % (3642005)...printing done.
% 0.14/0.52 % (3642005)Refutation found. Thanks to Tanya!
% 0.14/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.52 % (3642005)------------------------------
% 0.14/0.52 % (3642005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.52 % (3642005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.52 % (3642005)CaDiCaL version: 2.1.3
% 0.14/0.52 % (3642005)Termination reason: Refutation
% 0.14/0.52 % (3642005)Time elapsed: 0.041 s
% 0.14/0.52 % (3642005)Peak memory usage: 12 MB
% 0.14/0.52 % (3642005)Instructions burned: 86 (million)
% 0.14/0.52 % (3641996)Success in time 0.09 s
% 0.14/0.52 % Vampire exiting
%------------------------------------------------------------------------------