%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n017.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 09:51:28 AM UTC 2026
% Result : Unsatisfiable 0.18s 1.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 8 unt; 3 def)
% Number of atoms : 67 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 26 ~; 30 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 19 !; 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/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',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,definition,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).
fof(f74,plain,
~ sQ0_eqProxy(sk14,sk15),
inference(equality_proxy_replacement,[],[f68,f73]) ).
fof(f76,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
| ~ incident_c(ax0_sk13(X0,X1),X1)
| ~ incident_c(ax0_sk13(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f65,f73]) ).
fof(f79,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
| incident_c(ax0_sk13(X0,X1),X0)
| incident_c(ax0_sk13(X0,X1),X1) ),
inference(equality_proxy_replacement,[],[f59,f73]) ).
fof(f124,plain,
! [X0] :
( incident_c(X0,sk15)
| ~ incident_c(X0,sk14) ),
inference(resolution,[],[f1,f66]) ).
fof(f125,plain,
! [X0] :
( ~ incident_c(X0,sk15)
| incident_c(X0,sk14) ),
inference(resolution,[],[f1,f67]) ).
fof(f146,plain,
( ~ incident_c(ax0_sk13(sk14,sk15),sk15)
| ~ incident_c(ax0_sk13(sk14,sk15),sk14) ),
inference(resolution,[],[f76,f74]) ).
fof(f156,definition,
( spl1_7
<=> incident_c(ax0_sk13(sk14,sk15),sk14) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f159,definition,
( spl1_8
<=> incident_c(ax0_sk13(sk14,sk15),sk15) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f160,plain,
( ~ incident_c(ax0_sk13(sk14,sk15),sk15)
| spl1_8 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f161,plain,
( ~ spl1_7
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f146,f159,f156]) ).
fof(f162,plain,
( ~ incident_c(ax0_sk13(sk14,sk15),sk14)
| spl1_8 ),
inference(resolution,[],[f160,f124]) ).
fof(f163,plain,
( ~ spl1_7
| spl1_8 ),
inference(avatar_split_clause,[],[f162,f159,f156]) ).
fof(f166,plain,
( incident_c(ax0_sk13(sk14,sk15),sk14)
| incident_c(ax0_sk13(sk14,sk15),sk15) ),
inference(resolution,[],[f79,f74]) ).
fof(f171,plain,
( incident_c(ax0_sk13(sk14,sk15),sk15)
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f173,plain,
( spl1_8
| spl1_7 ),
inference(avatar_split_clause,[],[f166,f156,f159]) ).
fof(f174,plain,
( incident_c(ax0_sk13(sk14,sk15),sk14)
| ~ spl1_8 ),
inference(resolution,[],[f171,f125]) ).
fof(f175,plain,
( spl1_7
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f174,f159,f156]) ).
cnf(s6,plain,
( ~ spl1_7
| ~ spl1_8 ),
inference(sat_conversion,[],[f161]) ).
cnf(s7,plain,
( ~ spl1_7
| spl1_8 ),
inference(sat_conversion,[],[f163]) ).
cnf(s10,plain,
( spl1_7
| spl1_8 ),
inference(sat_conversion,[],[f173]) ).
cnf(s11,plain,
( spl1_7
| ~ spl1_8 ),
inference(sat_conversion,[],[f175]) ).
cnf(s16,plain,
spl1_7,
inference(rat,[],[s10,s11]) ).
cnf(s17,plain,
spl1_8,
inference(rat,[],[s7,s16]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s6,s17,s16]) ).
fof(f176,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO082-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n017.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 06:48:35 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/1.51 % (2199296)Input is clausal, will run a generic CNF schedule.
% 0.18/1.51 % (2199305)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1992250352:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.18/1.51 % (2199305)Refutation not found, incomplete strategy
% 0.18/1.51 % (2199305)------------------------------
% 0.18/1.51 % (2199305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.51 % (2199305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.51 % (2199305)CaDiCaL version: 2.1.3
% 0.18/1.51 % (2199305)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.51 % (2199305)Time elapsed: 0.001 s
% 0.18/1.51 % (2199305)Peak memory usage: 87 MB
% 0.18/1.51 % (2199304)lrs+10_1_sil=8000:sp=occurrence:random_seed=3820305233:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.18/1.51 % (2199304)Refutation not found, incomplete strategy
% 0.18/1.51 % (2199304)------------------------------
% 0.18/1.51 % (2199304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.51 % (2199304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.51 % (2199304)CaDiCaL version: 2.1.3
% 0.18/1.51 % (2199304)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.51 % (2199304)Time elapsed: 0.001 s
% 0.18/1.51 % (2199304)Peak memory usage: 87 MB
% 0.18/1.51 % (2199302)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=304908390:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.18/1.51 % (2199303)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2402630806:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.18/1.51 % (2199301)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3793939297:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.18/1.51 % (2199307)dis-21_1_sil=8000:lcm=predicate:random_seed=2929604610:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.18/1.51 % (2199306)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4035456619:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.18/1.51 % (2199307)First to succeed.
% 0.18/1.51 % (2199307)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2199296"
% 0.18/1.51 % (2199306)Also succeeded, but the first one will report.
% 0.18/1.51 % (2199305)------------------------------
% 0.18/1.51 % (2199305)------------------------------
% 0.18/1.51 % (2199304)------------------------------
% 0.18/1.51 % (2199304)------------------------------
% 0.18/1.51 % (2199315)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4182630096:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.18/1.51 % (2199315)Refutation not found, incomplete strategy
% 0.18/1.51 % (2199315)------------------------------
% 0.18/1.51 % (2199315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.51 % (2199315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.51 % (2199315)CaDiCaL version: 2.1.3
% 0.18/1.51 % (2199315)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.51 % (2199315)Time elapsed: 0.001 s
% 0.18/1.51 % (2199315)Peak memory usage: 88 MB
% 0.18/1.51 % (2199315)Instructions burned: 1 (million)
% 0.18/1.51 % (2199307)Refutation found. Thanks to Tanya!
% 0.18/1.51 % SZS status Unsatisfiable for theBenchmark
% 0.18/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.51 % (2199307)------------------------------
% 0.18/1.51 % (2199307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.51 % (2199307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.51 % (2199307)CaDiCaL version: 2.1.3
% 0.18/1.51 % (2199307)Termination reason: Refutation
% 0.18/1.51 % (2199307)Time elapsed: 0.004 s
% 0.18/1.51 % (2199307)Peak memory usage: 89 MB
% 0.18/1.51 % (2199307)Instructions burned: 4 (million)
% 0.18/1.51 % (2199307)------------------------------
% 0.18/1.51 % (2199307)------------------------------
% 0.18/1.51 % (2199296)Success in time 0.446 s
% 0.18/1.51 % Vampire exiting
%------------------------------------------------------------------------------