%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO041-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 09:53:22 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 26 unt; 0 def)
% Number of atoms : 58 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 30 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X2)
| between(X1,inner_pasch(X0,X1,X2,X4,X3),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X2)
| between(X4,inner_pasch(X0,X1,X2,X4,X3),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
fof(f19,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f20,axiom,
between(u,w,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_u_and_v) ).
fof(f21,negated_conjecture,
v != w,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_is_w) ).
fof(f24,plain,
! [X2,X0,X1] :
( equidistant(X0,X1,X2,X2)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f25,plain,
! [X2,X3,X0,X1] : ~ between(X0,X1,extension(X0,X1,X2,X3)),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f26,plain,
! [X2,X3,X0,X1] : ~ equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f28,plain,
! [X0,X1] :
( between(X0,X1,X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f29,plain,
! [X2,X3,X0,X1,X4] :
( between(X3,X4,X2)
| between(X0,X1,X2)
| ~ between(X1,inner_pasch(X0,X1,X2,X4,X3),X3) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f30,plain,
! [X2,X3,X0,X1,X4] :
( between(X3,X4,X2)
| between(X0,X1,X2)
| ~ between(X4,inner_pasch(X0,X1,X2,X4,X3),X0) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f40,plain,
~ between(u,v,w),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f41,plain,
~ between(u,w,v),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f43,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f26,f24]) ).
fof(f45,plain,
! [X0,X1] : ~ between(X1,X0,X0),
inference(superposition,[],[f25,f43]) ).
fof(f60,plain,
! [X0,X1] :
( between(X0,X1,w)
| ~ between(X1,inner_pasch(X0,X1,w,v,u),u) ),
inference(resolution,[],[f29,f40]) ).
fof(f61,plain,
! [X0,X1] :
( between(X0,X1,v)
| ~ between(X1,inner_pasch(X0,X1,v,w,u),u) ),
inference(resolution,[],[f29,f41]) ).
fof(f124,plain,
! [X0] : ~ between(w,inner_pasch(X0,w,w,v,u),u),
inference(resolution,[],[f60,f45]) ).
fof(f127,plain,
! [X0] : ~ between(v,inner_pasch(X0,v,v,w,u),u),
inference(resolution,[],[f61,f45]) ).
fof(f131,plain,
! [X0,X1] :
( between(X0,X1,w)
| ~ between(v,inner_pasch(X0,X1,w,v,u),X0) ),
inference(resolution,[],[f30,f40]) ).
fof(f132,plain,
! [X0,X1] :
( between(X0,X1,v)
| ~ between(w,inner_pasch(X0,X1,v,w,u),X0) ),
inference(resolution,[],[f30,f41]) ).
fof(f139,plain,
! [X0] : ~ between(v,inner_pasch(X0,w,w,v,u),X0),
inference(resolution,[],[f131,f45]) ).
fof(f141,plain,
v = inner_pasch(v,w,w,v,u),
inference(resolution,[],[f139,f28]) ).
fof(f148,plain,
~ between(w,v,u),
inference(superposition,[],[f124,f141]) ).
fof(f149,plain,
! [X0,X1] :
( between(X0,X1,u)
| ~ between(v,inner_pasch(X0,X1,u,v,w),X0) ),
inference(resolution,[],[f148,f30]) ).
fof(f150,plain,
! [X0,X1] :
( between(X0,X1,u)
| ~ between(X1,inner_pasch(X0,X1,u,v,w),w) ),
inference(resolution,[],[f148,f29]) ).
fof(f151,plain,
! [X0] : ~ between(w,inner_pasch(X0,v,v,w,u),X0),
inference(resolution,[],[f132,f45]) ).
fof(f154,plain,
w = inner_pasch(w,v,v,w,u),
inference(resolution,[],[f151,f28]) ).
fof(f162,plain,
~ between(v,w,u),
inference(superposition,[],[f127,f154]) ).
fof(f419,plain,
~ between(v,inner_pasch(v,w,u,v,w),v),
inference(resolution,[],[f149,f162]) ).
fof(f456,plain,
v = inner_pasch(v,w,u,v,w),
inference(resolution,[],[f419,f28]) ).
fof(f495,plain,
~ between(w,inner_pasch(v,w,u,v,w),w),
inference(resolution,[],[f150,f162]) ).
fof(f534,plain,
~ between(w,v,w),
inference(superposition,[],[f495,f456]) ).
fof(f537,plain,
v = w,
inference(resolution,[],[f534,f28]) ).
fof(f544,plain,
v != v,
inference(superposition,[],[f21,f537]) ).
fof(f591,plain,
$false,
inference(trivial_inequality_removal,[],[f544]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO041-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n011.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 06:41:15 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.10/0.45 % (2044893)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (2044899)% WARNING: option uhcvi not known.
% 0.10/0.45 % (2044898)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1997970372_3000 on theBenchmark for (3000ds/0Mi)
% 0.10/0.45 % (2044901)dis+10_1_sil=32000:sp=arity:random_seed=1543399703:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.10/0.45 % (2044899)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3444862996:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.10/0.45 % (2044900)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3532632437:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.10/0.45 % (2044902)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2737847947:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.10/0.45 % (2044903)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4059948542:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % TRYING [3]
% 0.10/0.45 % (2044904)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3514703873:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.10/0.45 % (2044904) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2044893-2044904"...
% 0.10/0.45 % (2044904)...printing done.
% 0.10/0.45 % (2044904)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (2044904)------------------------------
% 0.10/0.45 % (2044904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (2044904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (2044904)CaDiCaL version: 2.1.3
% 0.10/0.45 % (2044904)Termination reason: Refutation
% 0.10/0.45 % (2044904)Time elapsed: 0.012 s
% 0.10/0.45 % (2044904)Peak memory usage: 12 MB
% 0.10/0.45 % (2044904)Instructions burned: 29 (million)
% 0.10/0.45 % (2044893)Success in time 0.039 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------