%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO082-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 09:53:31 AM UTC 2026
% Result : Unsatisfiable 0.36s 0.47s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 12 unt; 1 def)
% Number of atoms : 58 ( 14 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 47 ( 17 ~; 29 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ part_of(X0,X1)
| ~ incident_c(X2,X0)
| incident_c(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_1) ).
fof(f58,axiom,
! [X0,X1] :
( incident_c(ax0_sk13(X0,X1),X1)
| incident_c(ax0_sk13(X0,X1),X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c9_45) ).
fof(f59,plain,
! [X0,X1] :
( incident_c(ax0_sk13(X0,X1),X1)
| incident_c(ax0_sk13(X0,X1),X0)
| X0 = X1 ),
inference(reorient_equations,[],[f58]) ).
fof(f64,axiom,
! [X0,X1] :
( ~ incident_c(ax0_sk13(X0,X1),X0)
| ~ incident_c(ax0_sk13(X0,X1),X1)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c9_48) ).
fof(f65,plain,
! [X0,X1] :
( ~ incident_c(ax0_sk13(X0,X1),X0)
| ~ incident_c(ax0_sk13(X0,X1),X1)
| X0 = X1 ),
inference(reorient_equations,[],[f64]) ).
fof(f66,negated_conjecture,
part_of(sk14,sk15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_antisymmetry_67) ).
fof(f67,negated_conjecture,
part_of(sk15,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_antisymmetry_68) ).
fof(f68,negated_conjecture,
sk14 != sk15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_antisymmetry_69) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ incident_c(X2,X1)
| incident_c(X2,X0)
| ~ part_of(X0,X1) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f105,plain,
! [X0,X1] :
( ~ incident_c(ax0_sk13(X0,X1),X1)
| ~ incident_c(ax0_sk13(X0,X1),X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f59]) ).
fof(f108,plain,
! [X0,X1] :
( incident_c(ax0_sk13(X0,X1),X0)
| incident_c(ax0_sk13(X0,X1),X1)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f65]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ part_of(X2,X0)
| X0 = X1
| incident_c(ax0_sk13(X0,X1),X2)
| incident_c(ax0_sk13(X0,X1),X1) ),
inference(resolution,[],[f108,f73]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ part_of(X2,X1)
| X0 = X1
| incident_c(ax0_sk13(X0,X1),X2)
| incident_c(ax0_sk13(X0,X1),X0) ),
inference(resolution,[],[f108,f73]) ).
fof(f397,plain,
! [X0] :
( incident_c(ax0_sk13(sk15,X0),sk14)
| incident_c(ax0_sk13(sk15,X0),X0)
| sk15 = X0 ),
inference(resolution,[],[f143,f66]) ).
fof(f403,plain,
! [X0] :
( incident_c(ax0_sk13(X0,sk14),sk15)
| incident_c(ax0_sk13(X0,sk14),X0)
| sk14 = X0 ),
inference(resolution,[],[f151,f67]) ).
fof(f1055,plain,
( incident_c(ax0_sk13(sk15,sk14),sk14)
| sk14 = sk15 ),
inference(factoring,[],[f397]) ).
fof(f1061,plain,
incident_c(ax0_sk13(sk15,sk14),sk14),
inference(forward_subsumption_resolution,[],[f1055,f68]) ).
fof(f1086,plain,
( ~ incident_c(ax0_sk13(sk15,sk14),sk15)
| sk14 = sk15 ),
inference(resolution,[],[f1061,f105]) ).
fof(f1095,plain,
~ incident_c(ax0_sk13(sk15,sk14),sk15),
inference(forward_subsumption_resolution,[],[f1086,f68]) ).
fof(f1101,definition,
( spl0_16
<=> incident_c(ax0_sk13(sk15,sk14),sk15) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f1105,plain,
~ spl0_16,
inference(avatar_split_clause,[],[f1095,f1101]) ).
fof(f1146,plain,
( incident_c(ax0_sk13(sk15,sk14),sk15)
| sk14 = sk15 ),
inference(factoring,[],[f403]) ).
fof(f1151,plain,
incident_c(ax0_sk13(sk15,sk14),sk15),
inference(forward_subsumption_resolution,[],[f1146,f68]) ).
fof(f1152,plain,
spl0_16,
inference(avatar_split_clause,[],[f1151,f1101]) ).
cnf(s17,plain,
~ spl0_16,
inference(sat_conversion,[],[f1105]) ).
cnf(s18,plain,
spl0_16,
inference(sat_conversion,[],[f1152]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s17,s18]) ).
fof(f1153,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO082-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n015.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 06:56:45 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 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
% 0.36/0.47 % (1299836)Will run a generic schedule for satisfiability detection.
% 0.36/0.47 % (1299842)% WARNING: option uhcvi not known.
% 0.36/0.47 % (1299841)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=733788735_2999 on theBenchmark for (2999ds/0Mi)
% 0.36/0.47 % (1299843)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1182607074:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.36/0.47 % (1299845)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=990391609:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.36/0.47 % (1299844)dis+10_1_sil=32000:sp=arity:random_seed=3052052601:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.36/0.47 % (1299846)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=635671659:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.36/0.47 % (1299847)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2351508792:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.36/0.47 % (1299842)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4006226948:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.36/0.47 % TRYING [1]
% 0.36/0.47 % TRYING [2]
% 0.36/0.47 % TRYING [3]
% 0.36/0.47 % TRYING [4]
% 0.36/0.47 % (1299842) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1299836-1299842"...
% 0.36/0.47 % (1299842)...printing done.
% 0.36/0.47 % (1299842)Refutation found. Thanks to Tanya!
% 0.36/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.36/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.36/0.47 % (1299842)------------------------------
% 0.36/0.47 % (1299842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.47 % (1299842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.47 % (1299842)CaDiCaL version: 2.1.3
% 0.36/0.47 % (1299842)Termination reason: Refutation
% 0.36/0.47 % (1299842)Time elapsed: 0.020 s
% 0.36/0.47 % (1299842)Peak memory usage: 13 MB
% 0.36/0.47 % (1299842)Instructions burned: 53 (million)
% 0.36/0.47 % (1299836)Success in time 0.052 s
% 0.36/0.47 % Vampire exiting
%------------------------------------------------------------------------------