%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO084-1 : 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 09:53:32 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 33 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 13 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 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(f2,axiom,
! [X0,X1] :
( part_of(X0,X1)
| incident_c(ax0_sk1(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_2) ).
fof(f3,axiom,
! [X0,X1] :
( part_of(X0,X1)
| ~ incident_c(ax0_sk1(X0,X1),X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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(f66,negated_conjecture,
part_of(sk14,sk16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_2_67) ).
fof(f67,negated_conjecture,
part_of(sk15,sk16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_2_68) ).
fof(f69,negated_conjecture,
~ part_of(sum(sk14,sk15),sk16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_2_70) ).
fof(f70,plain,
! [X2,X3,X1] :
( ~ incident_c(X3,sum(X1,X2))
| incident_c(X3,X1)
| incident_c(X3,X2) ),
inference(equality_resolution,[],[f5]) ).
fof(f80,plain,
incident_c(ax0_sk1(sum(sk14,sk15),sk16),sum(sk14,sk15)),
inference(resolution,[],[f2,f69]) ).
fof(f81,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk16),
inference(resolution,[],[f3,f69]) ).
fof(f98,plain,
! [X0] :
( incident_c(X0,sk16)
| ~ incident_c(X0,sk14) ),
inference(resolution,[],[f1,f66]) ).
fof(f99,plain,
! [X0] :
( ~ incident_c(X0,sk15)
| incident_c(X0,sk16) ),
inference(resolution,[],[f1,f67]) ).
fof(f102,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk14),
inference(resolution,[],[f98,f81]) ).
fof(f130,plain,
( incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk14)
| incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk15) ),
inference(resolution,[],[f70,f80]) ).
fof(f132,plain,
incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk15),
inference(forward_subsumption_resolution,[],[f130,f102]) ).
fof(f133,plain,
incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk16),
inference(resolution,[],[f132,f99]) ).
fof(f134,plain,
$false,
inference(forward_subsumption_resolution,[],[f133,f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO084-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 06:57:00 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.11/0.45 % (1300255)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (1300265)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2429330761:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (1300260)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=613875141_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % (1300262)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2295292625:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (1300263)dis+10_1_sil=32000:sp=arity:random_seed=2022377180:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (1300264)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3989619231:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (1300266)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3802363788:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (1300261)% WARNING: option uhcvi not known.
% 0.11/0.45 % TRYING [1]
% 0.11/0.45 % TRYING [2]
% 0.11/0.45 % (1300264) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1300255-1300264"...
% 0.11/0.45 % TRYING [3]
% 0.11/0.45 % (1300261)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1383060217:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % (1300264)...printing done.
% 0.11/0.45 % (1300264)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (1300264)------------------------------
% 0.11/0.45 % (1300264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (1300264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (1300264)CaDiCaL version: 2.1.3
% 0.11/0.45 % (1300264)Termination reason: Refutation
% 0.11/0.45 % (1300264)Time elapsed: 0.004 s
% 0.11/0.45 % (1300264)Peak memory usage: 11 MB
% 0.11/0.45 % (1300264)Instructions burned: 5 (million)
% 0.11/0.45 % (1300255)Success in time 0.041 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------