%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO018-2 : 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 : n001.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 0.09s 0.45s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X4,X5)
| ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
fof(f19,axiom,
equidistant(u,v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).
fof(f20,negated_conjecture,
~ equidistant(v,u,x,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetry) ).
fof(f117,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f147,plain,
equidistant(w,x,v,u),
inference(resolution,[],[f117,f19]) ).
fof(f152,plain,
equidistant(v,u,x,w),
inference(resolution,[],[f147,f117]) ).
fof(f154,plain,
$false,
inference(forward_subsumption_resolution,[],[f152,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO018-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n001.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 06:37:44 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 0.09/0.45 % (3200957)Will run a generic schedule for satisfiability detection.
% 0.09/0.45 % (3200962)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=213705520_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.45 % TRYING [1]
% 0.09/0.45 % TRYING [2]
% 0.09/0.45 % TRYING [3]
% 0.09/0.45 % (3200965)dis+10_1_sil=32000:sp=arity:random_seed=2843650695:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.45 % (3200964)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4079335966:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.45 % (3200966)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2054023341:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.45 % (3200967)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3000374537:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.45 % (3200968)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2622663047:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.45 % (3200963)% WARNING: option uhcvi not known.
% 0.09/0.45 % (3200965) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3200957-3200965"...
% 0.09/0.45 % (3200968) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3200957-3200968"...
% 0.09/0.45 % (3200966) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3200957-3200966"...
% 0.09/0.45 % (3200964) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3200957-3200964"...
% 0.09/0.45 % (3200965)...printing done.
% 0.09/0.45 % (3200968)...printing done.
% 0.09/0.45 % (3200966)...printing done.
% 0.09/0.45 % (3200964)...printing done.
% 0.09/0.45 % (3200963)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2811490435:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.45 % (3200964)Refutation found. Thanks to Tanya!
% 0.09/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.45 % (3200964)------------------------------
% 0.09/0.45 % (3200964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.45 % (3200964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.45 % (3200964)CaDiCaL version: 2.1.3
% 0.09/0.45 % (3200964)Termination reason: Refutation
% 0.09/0.45 % (3200964)Time elapsed: 0.004 s
% 0.09/0.45 % (3200964)Peak memory usage: 11 MB
% 0.09/0.45 % (3200964)Instructions burned: 4 (million)
% 0.09/0.45 % (3200957)Success in time 0.041 s
% 0.09/0.45 % Vampire exiting
%------------------------------------------------------------------------------