%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO033-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 09:51:17 AM UTC 2026
% Result : Unsatisfiable 2.64s 1.39s
% Output : Refutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 63 ( 32 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X1,X4,X3,X5)
| ~ equidistant(X0,X1,X2,X3)
| ~ between(X0,X1,X4)
| ~ between(X2,X3,X5)
| equidistant(X0,X4,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8) ).
fof(f74,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X4,X6,X5,X7)
| ~ equidistant(X0,X4,X2,X5)
| ~ equidistant(X0,X6,X2,X7)
| ~ equidistant(X0,X1,X2,X3)
| ~ between(X0,X1,X4)
| ~ between(X2,X3,X5)
| equidistant(X1,X6,X3,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12) ).
fof(f76,axiom,
equidistant(u,v,u1,v1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).
fof(f77,axiom,
equidistant(v,w,v1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_to_w_equals_v1_to_w1) ).
fof(f78,axiom,
equidistant(u,x,u1,x1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_x_equals_u1_to_x1) ).
fof(f79,axiom,
equidistant(w,x,w1,x1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_to_x_equals_w1_to_x1) ).
fof(f80,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f81,axiom,
between(u1,v1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_between_u1_and_w1) ).
fof(f82,negated_conjecture,
~ equidistant(v,x,v1,x1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_to_x_equals_v1_to_x1) ).
fof(f267,plain,
! [X0,X1] :
( ~ equidistant(X0,v,X1,v1)
| ~ between(X0,v,w)
| ~ between(X1,v1,w1)
| equidistant(X0,w,X1,w1) ),
inference(resolution,[],[f42,f77]) ).
fof(f329,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,x,X1,x1)
| ~ equidistant(X0,w,X1,w1)
| ~ equidistant(X0,X2,X1,X3)
| ~ between(X0,X2,w)
| ~ between(X1,X3,w1)
| equidistant(X2,x,X3,x1) ),
inference(resolution,[],[f74,f79]) ).
fof(f653,plain,
( ~ between(u,v,w)
| ~ between(u1,v1,w1)
| equidistant(u,w,u1,w1) ),
inference(resolution,[],[f267,f76]) ).
fof(f655,plain,
( ~ between(u1,v1,w1)
| equidistant(u,w,u1,w1) ),
inference(forward_subsumption_resolution,[],[f653,f80]) ).
fof(f669,plain,
equidistant(u,w,u1,w1),
inference(forward_subsumption_resolution,[],[f655,f81]) ).
fof(f1181,plain,
! [X0,X1] :
( ~ equidistant(u,w,u1,w1)
| ~ equidistant(u,X0,u1,X1)
| ~ between(u,X0,w)
| ~ between(u1,X1,w1)
| equidistant(X0,x,X1,x1) ),
inference(resolution,[],[f329,f78]) ).
fof(f1184,plain,
! [X0,X1] :
( ~ equidistant(u,X0,u1,X1)
| ~ between(u,X0,w)
| ~ between(u1,X1,w1)
| equidistant(X0,x,X1,x1) ),
inference(forward_subsumption_resolution,[],[f1181,f669]) ).
fof(f2482,plain,
( ~ between(u,v,w)
| ~ between(u1,v1,w1)
| equidistant(v,x,v1,x1) ),
inference(resolution,[],[f1184,f76]) ).
fof(f2496,plain,
( ~ between(u1,v1,w1)
| equidistant(v,x,v1,x1) ),
inference(forward_subsumption_resolution,[],[f2482,f80]) ).
fof(f2497,plain,
equidistant(v,x,v1,x1),
inference(forward_subsumption_resolution,[],[f2496,f81]) ).
fof(f2498,plain,
$false,
inference(forward_subsumption_resolution,[],[f2497,f82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO033-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 % Computer : n002.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 27 06:42:13 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 2.64/1.39 % (3183982)Input is clausal, will run a generic CNF schedule.
% 2.64/1.39 % (3183990)lrs+10_1_sil=8000:sp=occurrence:random_seed=3608235974:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.64/1.39 % (3183990)First to succeed.
% 2.64/1.39 % (3183990)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3183982"
% 2.64/1.39 % (3183989)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3948660904:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.64/1.39 % (3183987)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=1973008081:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.64/1.39 % (3183988)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=502610797:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.64/1.39 % (3183993)dis-21_1_sil=8000:lcm=predicate:random_seed=3897189479: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)
% 2.64/1.39 % (3183991)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2950342055:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.64/1.39 % (3183992)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3792424010:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.64/1.39 % (3183993)Instruction limit reached!
% 2.64/1.39 % (3183993)------------------------------
% 2.64/1.39 % (3183993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.39 % (3183993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.39 % (3183993)CaDiCaL version: 2.1.3
% 2.64/1.39 % (3183993)Termination reason: Instruction limit
% 2.64/1.39 % (3183993)Termination phase: Saturation
% 2.64/1.39 % (3183993)Time elapsed: 0.065 s
% 2.64/1.39 % (3183993)Peak memory usage: 89 MB
% 2.64/1.39 % (3183993)Instructions burned: 119 (million)
% 2.64/1.39 % (3183991)Instruction limit reached!
% 2.64/1.39 % (3183991)------------------------------
% 2.64/1.39 % (3183991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.39 % (3183991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.39 % (3183991)CaDiCaL version: 2.1.3
% 2.64/1.39 % (3183991)Termination reason: Instruction limit
% 2.64/1.39 % (3183991)Termination phase: Saturation
% 2.64/1.39 % (3183991)Time elapsed: 0.065 s
% 2.64/1.39 % (3183991)Peak memory usage: 88 MB
% 2.64/1.39 % (3183991)Instructions burned: 116 (million)
% 2.64/1.39 % (3183992)Instruction limit reached!
% 2.64/1.39 % (3183992)------------------------------
% 2.64/1.39 % (3183992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.39 % (3183992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.39 % (3183992)CaDiCaL version: 2.1.3
% 2.64/1.39 % (3183992)Termination reason: Instruction limit
% 2.64/1.39 % (3183992)Termination phase: Saturation
% 2.64/1.39 % (3183992)Time elapsed: 0.113 s
% 2.64/1.39 % (3183992)Peak memory usage: 89 MB
% 2.64/1.39 % (3183992)Instructions burned: 181 (million)
% 2.64/1.39 % (3183990)Refutation found. Thanks to Tanya!
% 2.64/1.39 % SZS status Unsatisfiable for theBenchmark
% 2.64/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 2.64/1.39 % (3183990)------------------------------
% 2.64/1.39 % (3183990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.39 % (3183990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.39 % (3183990)CaDiCaL version: 2.1.3
% 2.64/1.39 % (3183990)Termination reason: Refutation
% 2.64/1.39 % (3183990)Time elapsed: 0.017 s
% 2.64/1.39 % (3183990)Peak memory usage: 89 MB
% 2.64/1.39 % (3183990)Instructions burned: 54 (million)
% 2.64/1.39 % (3183990)------------------------------
% 2.64/1.39 % (3183990)------------------------------
% 2.64/1.39 % (3183982)Success in time 0.294 s
% 2.64/1.39 % Vampire exiting
%------------------------------------------------------------------------------