%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO042-2 : 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 : n013.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 09:53:23 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 21 unt; 0 def)
% Number of atoms : 49 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 24 ~; 16 |; 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 : 6 ( 6 usr; 4 con; 0-5 aty)
% Number of variables : 65 ( 65 !; 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,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_x) ).
fof(f20,axiom,
between(v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_v_and_x) ).
fof(f21,negated_conjecture,
~ between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_between_u_and_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,x),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f41,plain,
~ between(v,w,x),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f42,plain,
between(u,v,w),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f44,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f26,f24]) ).
fof(f46,plain,
! [X0,X1] : ~ between(X1,X0,X0),
inference(superposition,[],[f25,f44]) ).
fof(f61,plain,
! [X0,X1] :
( between(X0,X1,x)
| ~ between(X1,inner_pasch(X0,X1,x,v,u),u) ),
inference(resolution,[],[f29,f40]) ).
fof(f64,plain,
! [X2,X3,X0,X1] :
( between(X0,X1,X2)
| ~ between(X1,inner_pasch(X0,X1,X2,X2,X3),X3) ),
inference(resolution,[],[f29,f46]) ).
fof(f125,plain,
~ between(w,inner_pasch(v,w,x,v,u),u),
inference(resolution,[],[f61,f41]) ).
fof(f130,plain,
! [X2,X3,X0,X1] :
( between(X0,X1,X2)
| ~ between(X2,inner_pasch(X0,X1,X2,X2,X3),X0) ),
inference(resolution,[],[f30,f46]) ).
fof(f135,plain,
! [X0,X1] :
( between(X0,X1,x)
| ~ between(v,inner_pasch(X0,X1,x,v,u),X0) ),
inference(resolution,[],[f30,f40]) ).
fof(f149,plain,
~ between(v,inner_pasch(v,w,x,v,u),v),
inference(resolution,[],[f135,f41]) ).
fof(f151,plain,
v = inner_pasch(v,w,x,v,u),
inference(resolution,[],[f149,f28]) ).
fof(f155,plain,
~ between(w,v,u),
inference(superposition,[],[f125,f151]) ).
fof(f211,plain,
! [X0] : ~ between(v,inner_pasch(w,v,u,u,X0),X0),
inference(resolution,[],[f64,f155]) ).
fof(f250,plain,
v = inner_pasch(w,v,u,u,v),
inference(resolution,[],[f211,f28]) ).
fof(f294,plain,
! [X0] : ~ between(u,inner_pasch(w,v,u,u,X0),w),
inference(resolution,[],[f130,f155]) ).
fof(f371,plain,
~ between(u,v,w),
inference(superposition,[],[f294,f250]) ).
fof(f372,plain,
$false,
inference(resolution,[],[f371,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO042-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n013.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 06:40:52 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.15/0.48 % (4063506)Will run a generic schedule for satisfiability detection.
% 0.15/0.48 % (4063512)% WARNING: option uhcvi not known.
% 0.15/0.48 % (4063512)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2407427816:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.48 % (4063511)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=703196046_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.48 % (4063513)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3143632712:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.48 % (4063514)dis+10_1_sil=32000:sp=arity:random_seed=2491590731:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.48 % (4063516)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3923695099:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.48 % (4063515)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1525162509:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.48 % (4063517)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3262111302:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.48 % TRYING [1]
% 0.15/0.48 % TRYING [2]
% 0.15/0.48 % TRYING [3]
% 0.15/0.48 % (4063517) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4063506-4063517"...
% 0.15/0.48 % (4063517)...printing done.
% 0.15/0.48 % (4063517)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48 % (4063517)------------------------------
% 0.15/0.48 % (4063517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.48 % (4063517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.48 % (4063517)CaDiCaL version: 2.1.3
% 0.15/0.48 % (4063517)Termination reason: Refutation
% 0.15/0.48 % (4063517)Time elapsed: 0.014 s
% 0.15/0.48 % (4063517)Peak memory usage: 12 MB
% 0.15/0.48 % (4063517)Instructions burned: 19 (million)
% 0.15/0.48 % (4063506)Success in time 0.05 s
% 0.15/0.48 % Vampire exiting
%------------------------------------------------------------------------------