%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO093-1 : 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 : n006.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 09:53:34 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 13
% Syntax : Number of formulae : 55 ( 14 unt; 2 def)
% Number of atoms : 128 ( 16 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 136 ( 63 ~; 71 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 88 ( 0 sgn 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( incident_c(X2,X1)
| ~ incident_c(X2,X0)
| ~ part_of(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',part_of_defn_1) ).
fof(f2,axiom,
! [X0,X1] :
( incident_c(ax0_sk1(X0,X1),X0)
| part_of(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',part_of_defn_2) ).
fof(f3,axiom,
! [X0,X1] :
( ~ incident_c(ax0_sk1(X0,X1),X1)
| part_of(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',part_of_defn_3) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( X0 != sum(X1,X2)
| ~ incident_c(X3,X0)
| incident_c(X3,X1)
| incident_c(X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',sum_defn_4) ).
fof(f5,plain,
! [X2,X3,X0,X1] :
( sum(X1,X2) != X0
| ~ incident_c(X3,X0)
| incident_c(X3,X1)
| incident_c(X3,X2) ),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( X0 != sum(X1,X2)
| ~ incident_c(X3,X1)
| incident_c(X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',sum_defn_5) ).
fof(f7,plain,
! [X2,X3,X0,X1] :
( sum(X1,X2) != X0
| ~ incident_c(X3,X1)
| incident_c(X3,X0) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( X0 != sum(X1,X2)
| ~ incident_c(X3,X2)
| incident_c(X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',sum_defn_6) ).
fof(f9,plain,
! [X2,X3,X0,X1] :
( sum(X1,X2) != X0
| ~ incident_c(X3,X2)
| incident_c(X3,X0) ),
inference(reorient_equations,[],[f8]) ).
fof(f44,axiom,
! [X0,X1] :
( ~ part_of(X0,X1)
| X0 = X1
| open(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',c1_35) ).
fof(f66,negated_conjecture,
open(sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_2_67) ).
fof(f67,negated_conjecture,
part_of(sk15,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_2_68) ).
fof(f68,negated_conjecture,
part_of(sk16,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_2_69) ).
fof(f70,negated_conjecture,
~ open(sum(sk15,sk16)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_2_71) ).
fof(f71,plain,
! [X2,X3,X1] :
( ~ incident_c(X3,sum(X1,X2))
| incident_c(X3,X1)
| incident_c(X3,X2) ),
inference(equality_resolution,[],[f5]) ).
fof(f72,plain,
! [X2,X3,X1] :
( incident_c(X3,sum(X1,X2))
| ~ incident_c(X3,X1) ),
inference(equality_resolution,[],[f7]) ).
fof(f73,plain,
! [X2,X3,X1] :
( incident_c(X3,sum(X1,X2))
| ~ incident_c(X3,X2) ),
inference(equality_resolution,[],[f9]) ).
fof(f92,plain,
! [X0,X1] :
( ~ part_of(X0,X1)
| X0 = X1
| ~ open(X0) ),
inference(consistent_polarity_flipping,[],[f44]) ).
fof(f98,plain,
~ open(sk14),
inference(consistent_polarity_flipping,[],[f66]) ).
fof(f99,plain,
open(sum(sk15,sk16)),
inference(consistent_polarity_flipping,[],[f70]) ).
fof(f118,plain,
! [X2,X0,X1] :
( ~ incident_c(ax0_sk1(X0,sum(X1,X2)),X1)
| part_of(X0,sum(X1,X2)) ),
inference(resolution,[],[f72,f3]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ incident_c(ax0_sk1(X0,X1),X2)
| ~ part_of(X2,X1)
| part_of(X0,X1) ),
inference(resolution,[],[f1,f3]) ).
fof(f225,plain,
! [X0,X1] :
( part_of(X0,sum(X0,X1))
| part_of(X0,sum(X0,X1)) ),
inference(resolution,[],[f118,f2]) ).
fof(f236,plain,
! [X0,X1] : part_of(X0,sum(X0,X1)),
inference(duplicate_literal_removal,[],[f225]) ).
fof(f237,plain,
! [X0,X1] :
( ~ open(X0)
| sum(X0,X1) = X0 ),
inference(resolution,[],[f236,f92]) ).
fof(f243,plain,
! [X0] : sum(sk15,sk16) = sum(sum(sk15,sk16),X0),
inference(resolution,[],[f237,f99]) ).
fof(f248,plain,
! [X0,X1] :
( incident_c(X0,sum(sk15,sk16))
| ~ incident_c(X0,X1) ),
inference(superposition,[],[f73,f243]) ).
fof(f251,plain,
! [X2,X0,X1] :
( ~ incident_c(ax0_sk1(X0,X1),X2)
| ~ part_of(sum(sk15,sk16),X1)
| part_of(X0,X1) ),
inference(resolution,[],[f248,f150]) ).
fof(f253,plain,
! [X0,X1] :
( incident_c(X0,sk16)
| incident_c(X0,sk15)
| ~ incident_c(X0,X1) ),
inference(resolution,[],[f248,f71]) ).
fof(f255,plain,
! [X2,X0,X1] :
( incident_c(ax0_sk1(X0,X1),sk15)
| ~ incident_c(ax0_sk1(X0,X1),X2)
| ~ part_of(sk16,X1)
| part_of(X0,X1) ),
inference(resolution,[],[f253,f150]) ).
fof(f258,plain,
! [X0,X1] :
( ~ part_of(sum(sk15,sk16),X0)
| part_of(X1,X0)
| part_of(X1,X0) ),
inference(resolution,[],[f251,f2]) ).
fof(f272,plain,
! [X0,X1] :
( part_of(X1,X0)
| ~ part_of(sum(sk15,sk16),X0) ),
inference(duplicate_literal_removal,[],[f258]) ).
fof(f273,plain,
! [X0,X1] :
( ~ part_of(sum(sk15,sk16),X0)
| X0 = X1
| ~ open(X1) ),
inference(resolution,[],[f272,f92]) ).
fof(f370,plain,
! [X2,X0,X1] :
( ~ incident_c(ax0_sk1(X0,X1),X2)
| ~ part_of(sk16,X1)
| part_of(X0,X1)
| ~ part_of(sk15,X1)
| part_of(X0,X1) ),
inference(resolution,[],[f255,f150]) ).
fof(f374,plain,
! [X2,X0,X1] :
( ~ incident_c(ax0_sk1(X0,X1),X2)
| ~ part_of(sk16,X1)
| part_of(X0,X1)
| ~ part_of(sk15,X1) ),
inference(duplicate_literal_removal,[],[f370]) ).
fof(f397,plain,
! [X0,X1] :
( ~ part_of(sk16,X0)
| part_of(X1,X0)
| ~ part_of(sk15,X0)
| part_of(X1,X0) ),
inference(resolution,[],[f374,f2]) ).
fof(f415,plain,
! [X0,X1] :
( part_of(X1,X0)
| ~ part_of(sk16,X0)
| ~ part_of(sk15,X0) ),
inference(duplicate_literal_removal,[],[f397]) ).
fof(f417,plain,
! [X0,X1] :
( ~ part_of(sk16,X0)
| ~ part_of(sk15,X0)
| X0 = X1
| ~ open(X1) ),
inference(resolution,[],[f415,f273]) ).
fof(f431,plain,
! [X0] :
( ~ part_of(sk15,sk14)
| sk14 = X0
| ~ open(X0) ),
inference(resolution,[],[f417,f68]) ).
fof(f434,definition,
( spl0_11
<=> ! [X0] :
( sk14 = X0
| ~ open(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f435,plain,
( ! [X0] :
( ~ open(X0)
| sk14 = X0 )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f437,definition,
( spl0_12
<=> part_of(sk15,sk14) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f439,plain,
( ~ part_of(sk15,sk14)
| spl0_12 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f440,plain,
( spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f431,f437,f434]) ).
fof(f441,plain,
( $false
| spl0_12 ),
inference(resolution,[],[f439,f67]) ).
fof(f447,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f441]) ).
fof(f448,plain,
( sk14 = sum(sk15,sk16)
| ~ spl0_11 ),
inference(resolution,[],[f435,f99]) ).
fof(f450,plain,
( open(sk14)
| ~ spl0_11 ),
inference(superposition,[],[f99,f448]) ).
fof(f472,plain,
( $false
| ~ spl0_11 ),
inference(resolution,[],[f450,f98]) ).
fof(f478,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f472]) ).
cnf(s7,plain,
( spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f440]) ).
cnf(s8,plain,
spl0_12,
inference(sat_conversion,[],[f447]) ).
cnf(s9,plain,
~ spl0_11,
inference(sat_conversion,[],[f478]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s7,s8,s9]) ).
fof(f479,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO093-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 06:56:25 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.46 % (2645111)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (2645116)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1719719701_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % (2645118)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1701116742:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (2645119)dis+10_1_sil=32000:sp=arity:random_seed=517438118:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (2645120)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1868660068:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (2645121)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4099646575:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % (2645122)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3880853942:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % TRYING [1]
% 0.10/0.46 % TRYING [2]
% 0.10/0.46 % TRYING [3]
% 0.10/0.46 % (2645117)% WARNING: option uhcvi not known.
% 0.10/0.46 % (2645117)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=768215980:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % TRYING [4]
% 0.10/0.46 % (2645122) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2645111-2645122"...
% 0.10/0.46 % (2645122)...printing done.
% 0.10/0.46 % (2645122)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (2645122)------------------------------
% 0.10/0.46 % (2645122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (2645122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (2645122)CaDiCaL version: 2.1.3
% 0.10/0.46 % (2645122)Termination reason: Refutation
% 0.10/0.46 % (2645122)Time elapsed: 0.012 s
% 0.10/0.46 % (2645122)Peak memory usage: 12 MB
% 0.10/0.46 % (2645122)Instructions burned: 16 (million)
% 0.10/0.46 % (2645111)Success in time 0.048 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------