%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO020-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 09:53:17 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 12 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
fof(f19,axiom,
equidistant(u,v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).
fof(f20,negated_conjecture,
~ equidistant(x,w,u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetry) ).
fof(f32,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,x,w)
| ~ equidistant(X0,X1,u,v) ),
inference(resolution,[],[f2,f20]) ).
fof(f36,plain,
~ equidistant(w,x,u,v),
inference(resolution,[],[f32,f1]) ).
fof(f40,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,w,x)
| ~ equidistant(X0,X1,u,v) ),
inference(resolution,[],[f36,f2]) ).
fof(f43,plain,
~ equidistant(u,v,u,v),
inference(resolution,[],[f40,f19]) ).
fof(f47,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,u,v)
| ~ equidistant(X0,X1,u,v) ),
inference(resolution,[],[f43,f2]) ).
fof(f48,plain,
! [X0,X1] : ~ equidistant(X0,X1,u,v),
inference(duplicate_literal_removal,[],[f47]) ).
fof(f51,plain,
$false,
inference(resolution,[],[f48,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO020-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n017.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 06:27:05 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 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
% 0.17/0.48 % (2185898)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (2185903)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2108723256_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48 % TRYING [1]
% 0.17/0.48 % TRYING [2]
% 0.17/0.48 % TRYING [3]
% 0.17/0.48 % (2185904)% WARNING: option uhcvi not known.
% 0.17/0.48 % (2185907)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=854399786:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % (2185904)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2415023491:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48 % (2185905)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=515704708:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48 % (2185906)dis+10_1_sil=32000:sp=arity:random_seed=4220993789:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48 % (2185909)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3298259234:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48 % (2185908)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4088645298:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % (2185907) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2185898-2185907"...
% 0.17/0.48 % (2185909) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2185898-2185909"...
% 0.17/0.48 % (2185908) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2185898-2185908"...
% 0.17/0.48 % (2185906) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2185898-2185906"...
% 0.17/0.48 % (2185907)...printing done.
% 0.17/0.48 % (2185909)...printing done.
% 0.17/0.48 % (2185905) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2185898-2185905"...
% 0.17/0.48 % (2185908)...printing done.
% 0.17/0.48 % (2185906)...printing done.
% 0.17/0.48 % (2185905)...printing done.
% 0.17/0.48 % (2185907)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (2185907)------------------------------
% 0.17/0.48 % (2185907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (2185907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (2185907)CaDiCaL version: 2.1.3
% 0.17/0.48 % (2185907)Termination reason: Refutation
% 0.17/0.48 % (2185907)Time elapsed: 0.003 s
% 0.17/0.48 % (2185907)Peak memory usage: 11 MB
% 0.17/0.48 % (2185907)Instructions burned: 3 (million)
% 0.17/0.48 % (2185898)Success in time 0.04 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------