%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO063-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 09:51:24 AM UTC 2026
% Result : Unsatisfiable 3.44s 1.38s
% Output : Refutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 9 unt; 0 def)
% Number of atoms : 16 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X2,X3,X0,X1] : insertion(X0,X1,X2,X3) = extension(extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X0,X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',insertion) ).
fof(f47,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| extension(X4,X5,X0,X1) = extension(X4,X5,X2,X3)
| X4 = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_2) ).
fof(f69,axiom,
! [X0,X1] : X0 != extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e3_1) ).
fof(f70,plain,
! [X0,X1] : extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2) != X0,
inference(reorient_equations,[],[f69]) ).
fof(f84,axiom,
equidistant(w,x,y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_to_x_equals_y_to_z) ).
fof(f85,negated_conjecture,
insertion(u,v,w,x) != insertion(u,v,y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality_of_insertions) ).
fof(f225,plain,
! [X0,X1] :
( extension(X0,X1,w,x) = extension(X0,X1,y,z)
| X0 = X1 ),
inference(resolution,[],[f47,f84]) ).
fof(f536,plain,
! [X0,X1] :
( extension(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,w,x) = insertion(X1,X0,y,z)
| extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) = X1 ),
inference(superposition,[],[f20,f225]) ).
fof(f544,plain,
! [X0,X1] : extension(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,w,x) = insertion(X1,X0,y,z),
inference(forward_subsumption_resolution,[],[f536,f70]) ).
fof(f570,plain,
! [X0,X1] : insertion(X1,X0,y,z) = insertion(X1,X0,w,x),
inference(forward_demodulation,[],[f544,f20]) ).
fof(f1539,plain,
insertion(u,v,w,x) != insertion(u,v,w,x),
inference(superposition,[],[f85,f570]) ).
fof(f1540,plain,
$false,
inference(trivial_inequality_removal,[],[f1539]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO063-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.41 % Computer : n008.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sun Sep 27 06:47:54 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.46 Running first-order theorem proving
% 0.16/0.46 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.44/1.38 % (876722)Input is clausal, will run a generic CNF schedule.
% 3.44/1.38 % (876732)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1546124030:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.44/1.38 % (876732)First to succeed.
% 3.44/1.38 % (876732)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-876722"
% 3.44/1.38 % (876733)dis-21_1_sil=8000:lcm=predicate:random_seed=2125677893: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)
% 3.44/1.38 % (876733)Also succeeded, but the first one will report.
% 3.44/1.38 % (876731)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3930674637:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.44/1.38 % (876730)lrs+10_1_sil=8000:sp=occurrence:random_seed=3480103691:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.44/1.38 % (876729)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=972514335:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.44/1.38 % (876727)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=477014587:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.44/1.38 % (876728)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=647471496:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.44/1.38 % (876731)Also succeeded, but the first one will report.
% 3.44/1.38 % (876730)Instruction limit reached!
% 3.44/1.38 % (876730)------------------------------
% 3.44/1.38 % (876730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.38 % (876730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.38 % (876730)CaDiCaL version: 2.1.3
% 3.44/1.38 % (876730)Termination reason: Instruction limit
% 3.44/1.38 % (876730)Termination phase: Saturation
% 3.44/1.38 % (876730)Time elapsed: 0.107 s
% 3.44/1.38 % (876730)Peak memory usage: 88 MB
% 3.44/1.38 % (876730)Instructions burned: 107 (million)
% 3.44/1.38 % (876732)Refutation found. Thanks to Tanya!
% 3.44/1.38 % SZS status Unsatisfiable for theBenchmark
% 3.44/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 3.44/1.38 % (876732)------------------------------
% 3.44/1.38 % (876732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.38 % (876732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.38 % (876732)CaDiCaL version: 2.1.3
% 3.44/1.38 % (876732)Termination reason: Refutation
% 3.44/1.38 % (876732)Time elapsed: 0.043 s
% 3.44/1.38 % (876732)Peak memory usage: 89 MB
% 3.44/1.38 % (876732)Instructions burned: 78 (million)
% 3.44/1.38 % (876732)------------------------------
% 3.44/1.38 % (876732)------------------------------
% 3.44/1.38 % (876722)Success in time 0.418 s
% 3.44/1.38 % Vampire exiting
%------------------------------------------------------------------------------