%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO030-2 : 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 : n005.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 09:51:15 AM UTC 2026
% Result : Unsatisfiable 2.72s 1.37s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 57 ( 11 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 66 ( 31 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 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 : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',transitivity_for_equidistance) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X1,X6,X3,X7)
| ~ equidistant(X1,X4,X3,X5)
| ~ equidistant(X0,X6,X2,X7)
| ~ equidistant(X0,X1,X2,X3)
| ~ between(X0,X1,X4)
| ~ between(X2,X3,X5)
| X0 = X1
| equidistant(X4,X6,X5,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_five_segment) ).
fof(f19,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f20,axiom,
equidistant(u,w,u,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_w_equals_u_to_w1) ).
fof(f21,axiom,
equidistant(v,w,v,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_to_w_equals_v_to_w1) ).
fof(f22,axiom,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).
fof(f23,negated_conjecture,
w != w1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_w_is_w1) ).
fof(f27,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f36,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(v,X0,v,X1)
| ~ equidistant(X2,w,X3,w1)
| ~ equidistant(X2,v,X3,v)
| ~ between(X2,v,X0)
| ~ between(X3,v,X1)
| v = X2
| equidistant(X0,w,X1,w1) ),
inference(resolution,[],[f6,f21]) ).
fof(f77,plain,
! [X0,X1] : equidistant(X0,X1,X0,X1),
inference(resolution,[],[f27,f1]) ).
fof(f356,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) ),
inference(resolution,[],[f77,f2]) ).
fof(f361,plain,
! [X2,X0,X1] :
( ~ equidistant(X0,w,X1,w1)
| ~ equidistant(X0,v,X1,v)
| ~ between(X0,v,X2)
| ~ between(X1,v,X2)
| v = X0
| equidistant(X2,w,X2,w1) ),
inference(resolution,[],[f77,f36]) ).
fof(f728,plain,
! [X0] :
( ~ equidistant(u,v,u,v)
| ~ between(u,v,X0)
| ~ between(u,v,X0)
| u = v
| equidistant(X0,w,X0,w1) ),
inference(resolution,[],[f361,f20]) ).
fof(f733,plain,
! [X0] :
( ~ equidistant(u,v,u,v)
| ~ between(u,v,X0)
| u = v
| equidistant(X0,w,X0,w1) ),
inference(duplicate_literal_removal,[],[f728]) ).
fof(f737,plain,
! [X0] :
( ~ between(u,v,X0)
| u = v
| equidistant(X0,w,X0,w1) ),
inference(forward_subsumption_resolution,[],[f733,f77]) ).
fof(f741,plain,
! [X0] :
( equidistant(X0,w,X0,w1)
| ~ between(u,v,X0) ),
inference(forward_subsumption_resolution,[],[f737,f22]) ).
fof(f1091,plain,
! [X0] :
( equidistant(X0,w1,X0,w)
| ~ between(u,v,X0) ),
inference(resolution,[],[f741,f356]) ).
fof(f2071,plain,
( ~ between(u,v,w)
| w = w1 ),
inference(resolution,[],[f1091,f3]) ).
fof(f2104,plain,
w = w1,
inference(forward_subsumption_resolution,[],[f2071,f19]) ).
fof(f2108,plain,
$false,
inference(forward_subsumption_resolution,[],[f2104,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO030-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n005.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 06:36:48 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 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
% 2.72/1.37 % (3630104)Input is clausal, will run a generic CNF schedule.
% 2.72/1.37 % (3630112)lrs+10_1_sil=8000:sp=occurrence:random_seed=2160931326:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.72/1.37 % (3630112)First to succeed.
% 2.72/1.37 % (3630112)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3630104"
% 2.72/1.37 % (3630110)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4026145969:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.72/1.37 % (3630109)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=3028608378:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.72/1.37 % (3630111)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1527429810:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.72/1.37 % (3630115)dis-21_1_sil=8000:lcm=predicate:random_seed=3994310569: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)
% 2.72/1.37 % (3630113)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2207206483:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.72/1.37 % (3630114)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1432743473:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.72/1.37 % (3630113)Instruction limit reached!
% 2.72/1.37 % (3630113)------------------------------
% 2.72/1.37 % (3630113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.37 % (3630113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.37 % (3630113)CaDiCaL version: 2.1.3
% 2.72/1.37 % (3630113)Termination reason: Instruction limit
% 2.72/1.37 % (3630113)Termination phase: Saturation
% 2.72/1.37 % (3630113)Time elapsed: 0.068 s
% 2.72/1.37 % (3630113)Peak memory usage: 88 MB
% 2.72/1.37 % (3630113)Instructions burned: 114 (million)
% 2.72/1.37 % (3630115)Instruction limit reached!
% 2.72/1.37 % (3630115)------------------------------
% 2.72/1.37 % (3630115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.37 % (3630115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.37 % (3630115)CaDiCaL version: 2.1.3
% 2.72/1.37 % (3630115)Termination reason: Instruction limit
% 2.72/1.37 % (3630115)Termination phase: Saturation
% 2.72/1.37 % (3630115)Time elapsed: 0.073 s
% 2.72/1.37 % (3630115)Peak memory usage: 89 MB
% 2.72/1.37 % (3630115)Instructions burned: 117 (million)
% 2.72/1.37 % (3630114)Instruction limit reached!
% 2.72/1.37 % (3630114)------------------------------
% 2.72/1.37 % (3630114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.37 % (3630114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.37 % (3630114)CaDiCaL version: 2.1.3
% 2.72/1.37 % (3630114)Termination reason: Instruction limit
% 2.72/1.37 % (3630114)Termination phase: Saturation
% 2.72/1.37 % (3630114)Time elapsed: 0.109 s
% 2.72/1.37 % (3630114)Peak memory usage: 89 MB
% 2.72/1.37 % (3630114)Instructions burned: 180 (million)
% 2.72/1.37 % (3630112)Refutation found. Thanks to Tanya!
% 2.72/1.37 % SZS status Unsatisfiable for theBenchmark
% 2.72/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 2.72/1.37 % (3630112)------------------------------
% 2.72/1.37 % (3630112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.37 % (3630112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.37 % (3630112)CaDiCaL version: 2.1.3
% 2.72/1.37 % (3630112)Termination reason: Refutation
% 2.72/1.37 % (3630112)Time elapsed: 0.030 s
% 2.72/1.37 % (3630112)Peak memory usage: 89 MB
% 2.72/1.37 % (3630112)Instructions burned: 81 (million)
% 2.72/1.37 % (3630112)------------------------------
% 2.72/1.37 % (3630112)------------------------------
% 2.72/1.37 % (3630104)Success in time 0.304 s
% 2.72/1.37 % Vampire exiting
%------------------------------------------------------------------------------