%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO024-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 09:51:14 AM UTC 2026
% Result : Unsatisfiable 3.37s 1.34s
% Output : Refutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 7 unt; 0 def)
% Number of atoms : 9 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-4 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).
fof(f21,axiom,
! [X2,X3,X0,X1] :
( equidistant(X2,X3,X0,X1)
| ~ equidistant(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
fof(f29,axiom,
! [X2,X0,X1] : X0 = extension(X1,X0,X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e1) ).
fof(f30,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(reorient_equations,[],[f29]) ).
fof(f41,negated_conjecture,
~ equidistant(u,u,v,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_congruence) ).
fof(f49,plain,
~ equidistant(v,v,u,u),
inference(resolution,[],[f21,f41]) ).
fof(f69,plain,
! [X2,X0] : equidistant(X0,X0,X2,X2),
inference(superposition,[],[f5,f30]) ).
fof(f75,plain,
$false,
inference(resolution,[],[f69,f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO024-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n018.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 06:38:08 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.37/1.34 % (1969797)Input is clausal, will run a generic CNF schedule.
% 3.37/1.34 % (1969804)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=193710608:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.37/1.34 % (1969805)lrs+10_1_sil=8000:sp=occurrence:random_seed=1912477553:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.37/1.34 % (1969807)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2258389385:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.37/1.34 % (1969808)dis-21_1_sil=8000:lcm=predicate:random_seed=3710508023:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.37/1.34 % (1969803)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3138393907:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.37/1.34 % (1969802)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=295803769:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.37/1.34 % (1969806)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4168286636:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.37/1.34 % (1969805)Refutation not found, incomplete strategy
% 3.37/1.34 % (1969805)------------------------------
% 3.37/1.34 % (1969805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.34 % (1969805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.34 % (1969805)CaDiCaL version: 2.1.3
% 3.37/1.34 % (1969805)Termination reason: Refutation not found, incomplete strategy
% 3.37/1.34 % (1969805)Time elapsed: 0.001 s
% 3.37/1.34 % (1969805)Peak memory usage: 87 MB
% 3.37/1.34 % (1969807)First to succeed.
% 3.37/1.34 % (1969807)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1969797"
% 3.37/1.34 % (1969808)Instruction limit reached!
% 3.37/1.34 % (1969808)------------------------------
% 3.37/1.34 % (1969808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.34 % (1969808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.34 % (1969808)CaDiCaL version: 2.1.3
% 3.37/1.34 % (1969808)Termination reason: Instruction limit
% 3.37/1.34 % (1969808)Termination phase: Saturation
% 3.37/1.34 % (1969808)Time elapsed: 0.058 s
% 3.37/1.34 % (1969808)Peak memory usage: 88 MB
% 3.37/1.34 % (1969808)Instructions burned: 119 (million)
% 3.37/1.34 % (1969806)Instruction limit reached!
% 3.37/1.34 % (1969806)------------------------------
% 3.37/1.34 % (1969806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.34 % (1969806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.34 % (1969806)CaDiCaL version: 2.1.3
% 3.37/1.34 % (1969806)Termination reason: Instruction limit
% 3.37/1.34 % (1969806)Termination phase: Saturation
% 3.37/1.34 % (1969806)Time elapsed: 0.059 s
% 3.37/1.34 % (1969806)Peak memory usage: 88 MB
% 3.37/1.34 % (1969806)Instructions burned: 116 (million)
% 3.37/1.34 % (1969816)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3031464669:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.37/1.34 % (1969817)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3104184017:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.37/1.34 % (1969816)Refutation not found, incomplete strategy
% 3.37/1.34 % (1969816)------------------------------
% 3.37/1.34 % (1969816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.34 % (1969816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.34 % (1969816)CaDiCaL version: 2.1.3
% 3.37/1.34 % (1969816)Termination reason: Refutation not found, incomplete strategy
% 3.37/1.34 % (1969816)Time elapsed: 0.001 s
% 3.37/1.34 % (1969816)Peak memory usage: 87 MB
% 3.37/1.34 % (1969817)Also succeeded, but the first one will report.
% 3.37/1.34 % (1969805)------------------------------
% 3.37/1.34 % (1969805)------------------------------
% 3.37/1.34 % (1969807)Refutation found. Thanks to Tanya!
% 3.37/1.34 % SZS status Unsatisfiable for theBenchmark
% 3.37/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 3.37/1.34 % (1969807)------------------------------
% 3.37/1.34 % (1969807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.34 % (1969807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.34 % (1969807)CaDiCaL version: 2.1.3
% 3.37/1.34 % (1969807)Termination reason: Refutation
% 3.37/1.34 % (1969807)Time elapsed: 0.003 s
% 3.37/1.34 % (1969807)Peak memory usage: 88 MB
% 3.37/1.34 % (1969807)Instructions burned: 2 (million)
% 3.37/1.34 % (1969807)------------------------------
% 3.37/1.34 % (1969807)------------------------------
% 3.37/1.34 % (1969797)Success in time 0.409 s
% 3.37/1.34 % Vampire exiting
%------------------------------------------------------------------------------