%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO034-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 09:53:21 AM UTC 2026
% Result : Unsatisfiable 2.85s 0.92s
% Output : Refutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 41 ( 3 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 47 ( 24 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
fof(f20,axiom,
! [X0,X1] : equidistant(X0,X1,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).
fof(f21,axiom,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).
fof(f76,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X2,X3,X5)
| ~ equidistant(X1,X4,X3,X5)
| ~ equidistant(X0,X6,X2,X7)
| ~ equidistant(X4,X6,X5,X7)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X1,X2,X3)
| equidistant(X1,X6,X3,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14) ).
fof(f77,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f78,axiom,
equidistant(u,v,u,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u_to_x) ).
fof(f79,axiom,
equidistant(w,v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_to_v_equals_w_to_x) ).
fof(f80,negated_conjecture,
v != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_is_x) ).
fof(f112,plain,
equidistant(u,x,u,v),
inference(resolution,[],[f21,f78]) ).
fof(f113,plain,
equidistant(w,x,w,v),
inference(resolution,[],[f21,f79]) ).
fof(f569,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X2,X0,X1)
| ~ equidistant(X2,X3,u,X4)
| ~ equidistant(X1,X3,w,X4)
| ~ equidistant(X0,X1,v,w)
| ~ equidistant(X2,X0,u,v)
| equidistant(X0,X3,v,X4) ),
inference(resolution,[],[f76,f77]) ).
fof(f1795,plain,
! [X0,X1] :
( ~ equidistant(u,X0,u,X1)
| ~ equidistant(w,X0,w,X1)
| ~ equidistant(v,w,v,w)
| ~ equidistant(u,v,u,v)
| equidistant(v,X0,v,X1) ),
inference(resolution,[],[f569,f77]) ).
fof(f1798,plain,
! [X0,X1] :
( ~ equidistant(u,X0,u,X1)
| ~ equidistant(w,X0,w,X1)
| ~ equidistant(v,w,v,w)
| equidistant(v,X0,v,X1) ),
inference(forward_subsumption_resolution,[],[f1795,f20]) ).
fof(f1807,plain,
! [X0,X1] :
( ~ equidistant(w,X0,w,X1)
| ~ equidistant(u,X0,u,X1)
| equidistant(v,X0,v,X1) ),
inference(forward_subsumption_resolution,[],[f1798,f20]) ).
fof(f12928,plain,
( ~ equidistant(u,x,u,v)
| equidistant(v,x,v,v) ),
inference(resolution,[],[f1807,f113]) ).
fof(f12929,plain,
equidistant(v,x,v,v),
inference(forward_subsumption_resolution,[],[f12928,f112]) ).
fof(f12939,plain,
v = x,
inference(resolution,[],[f12929,f3]) ).
fof(f12963,plain,
$false,
inference(forward_subsumption_resolution,[],[f12939,f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO034-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 06:34:34 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.42 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
% 2.85/0.91 % (2191881)Will run a generic schedule for satisfiability detection.
% 2.85/0.91 % (2191892)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3884979821:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.85/0.91 % (2191887)% WARNING: option uhcvi not known.
% 2.85/0.91 % (2191886)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1081129206_2999 on theBenchmark for (2999ds/0Mi)
% 2.85/0.91 % (2191887)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2686712523:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.85/0.91 % (2191888)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1963034802:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.85/0.91 % (2191891)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2568649925:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.85/0.91 % (2191889)dis+10_1_sil=32000:sp=arity:random_seed=3124140165:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.85/0.91 % (2191890)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3012826947:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.85/0.91 % Detected minimum model sizes of [3]
% 2.85/0.91 % Detected maximum model sizes of [max]
% 2.85/0.91 % TRYING [3]
% 2.85/0.91 % (2191892)Instruction limit reached!
% 2.85/0.91 % (2191892)------------------------------
% 2.85/0.91 % (2191892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.85/0.91 % (2191892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.91 % (2191892)CaDiCaL version: 2.1.3
% 2.85/0.91 % (2191892)Termination reason: Instruction limit
% 2.85/0.91 % (2191892)Termination phase: Saturation
% 2.85/0.91 % (2191892)Time elapsed: 0.051 s
% 2.85/0.91 % (2191892)Peak memory usage: 13 MB
% 2.85/0.91 % (2191892)Instructions burned: 162 (million)
% 2.85/0.91 % (2191900)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1986661272:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.85/0.91 % Detected minimum model sizes of [3]
% 2.85/0.91 % Detected maximum model sizes of [max]
% 2.85/0.91 % TRYING [3]
% 2.85/0.91 % TRYING [4]
% 2.85/0.91 % (2191890)Instruction limit reached!
% 2.85/0.91 % (2191890)------------------------------
% 2.85/0.91 % (2191890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.85/0.91 % (2191890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.91 % (2191890)CaDiCaL version: 2.1.3
% 2.85/0.91 % (2191890)Termination reason: Instruction limit
% 2.85/0.91 % (2191890)Termination phase: Saturation
% 2.85/0.91 % (2191890)Time elapsed: 0.063 s
% 2.85/0.91 % (2191890)Peak memory usage: 12 MB
% 2.85/0.91 % (2191890)Instructions burned: 117 (million)
% 2.85/0.91 % (2191889)Instruction limit reached!
% 2.85/0.91 % (2191889)------------------------------
% 2.85/0.91 % (2191889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.85/0.91 % (2191889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.91 % (2191889)CaDiCaL version: 2.1.3
% 2.85/0.91 % (2191889)Termination reason: Instruction limit
% 2.85/0.91 % (2191889)Termination phase: Saturation
% 2.85/0.91 % (2191889)Time elapsed: 0.063 s
% 2.85/0.91 % (2191889)Peak memory usage: 12 MB
% 2.85/0.91 % (2191889)Instructions burned: 103 (million)
% 2.85/0.91 % (2191903)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2339398834:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.85/0.91 % (2191902)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3244916778:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.85/0.91 % (2191891)Instruction limit reached!
% 2.85/0.91 % (2191891)------------------------------
% 2.85/0.91 % (2191891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.85/0.91 % (2191891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.91 % (2191891)CaDiCaL version: 2.1.3
% 2.85/0.91 % (2191891)Termination reason: Instruction limit
% 2.85/0.91 % (2191891)Termination phase: Saturation
% 2.85/0.91 % (2191891)Time elapsed: 0.086 s
% 2.85/0.91 % (2191891)Peak memory usage: 12 MB
% 2.85/0.91 % (2191891)Instructions burned: 132 (million)
% 2.85/0.91 % TRYING [4]
% 2.85/0.91 % (2191906)ott-21_1_sil=16000:fs=off:random_seed=1643027687:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.85/0.91 % (2191902)Instruction limit reached!
% 2.85/0.91 % (2191902)------------------------------
% 2.85/0.91 % (2191902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.85/0.91 % (2191902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.91 % (2191902)CaDiCaL version: 2.1.3
% 2.85/0.91 % (2191902)Termination reason: Instruction limit
% 2.85/0.91 % (2191902)Termination phase: Saturation
% 2.85/0.91 % (2191902)Time elapsed: 0.080 s
% 2.85/0.91 % (2191902)Peak memory usage: 12 MB
% 2.85/0.91 % (2191902)Instructions burned: 132 (million)
% 2.85/0.91 % (2191908)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1786459606:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.85/0.91 % (2191900)Instruction limit reached!
% 2.85/0.91 % (2191900)------------------------------
% 2.85/0.91 % (2191900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.85/0.91 % (2191900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.91 % (2191900)CaDiCaL version: 2.1.3
% 2.85/0.91 % (2191900)Termination reason: Instruction limit
% 2.85/0.91 % (2191900)Termination phase: Finite model building constraint generation
% 2.85/0.91 % (2191900)Time elapsed: 0.136 s
% 2.85/0.91 % (2191900)Peak memory usage: 39 MB
% 2.85/0.91 % (2191900)Instructions burned: 718 (million)
% 2.85/0.91 % (2191906)Instruction limit reached!
% 2.85/0.91 % (2191906)------------------------------
% 2.85/0.91 % (2191906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.85/0.91 % (2191906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.91 % (2191906)CaDiCaL version: 2.1.3
% 2.85/0.91 % (2191906)Termination reason: Instruction limit
% 2.85/0.91 % (2191906)Termination phase: Saturation
% 2.85/0.91 % (2191906)Time elapsed: 0.096 s
% 2.85/0.91 % (2191906)Peak memory usage: 12 MB
% 2.85/0.91 % (2191906)Instructions burned: 180 (million)
% 2.85/0.91 % (2191910)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=425592323:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.85/0.91 % Detected minimum model sizes of [3]
% 2.85/0.91 % Detected maximum model sizes of [max]
% 2.85/0.91 % TRYING [3]
% 2.85/0.91 % (2191911)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=254378970:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.85/0.91 % TRYING [4]
% 2.85/0.91 % (2191910)Instruction limit reached!
% 2.85/0.92 % (2191910)------------------------------
% 2.85/0.92 % (2191910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.85/0.92 % (2191910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.92 % (2191910)CaDiCaL version: 2.1.3
% 2.85/0.92 % (2191910)Termination reason: Instruction limit
% 2.85/0.92 % (2191910)Termination phase: Finite model building constraint generation
% 2.85/0.92 % (2191910)Time elapsed: 0.178 s
% 2.85/0.92 % (2191910)Peak memory usage: 40 MB
% 2.85/0.92 % (2191910)Instructions burned: 869 (million)
% 2.85/0.92 % (2191914)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3146001664:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 2.85/0.92 % (2191887) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2191881-2191887"...
% 2.85/0.92 % (2191887)...printing done.
% 2.85/0.92 % (2191887)Refutation found. Thanks to Tanya!
% 2.85/0.92 % SZS status Unsatisfiable for theBenchmark
% 2.85/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 2.85/0.92 % (2191887)------------------------------
% 2.85/0.92 % (2191887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.85/0.92 % (2191887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.92 % (2191887)CaDiCaL version: 2.1.3
% 2.85/0.92 % (2191887)Termination reason: Refutation
% 2.85/0.92 % (2191887)Time elapsed: 0.451 s
% 2.85/0.92 % (2191887)Peak memory usage: 17 MB
% 2.85/0.92 % (2191887)Instructions burned: 758 (million)
% 2.85/0.92 % (2191881)Success in time 0.492 s
% 2.85/0.92 % Vampire exiting
%------------------------------------------------------------------------------