%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO036-3 : 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 : n012.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 2.34s 0.94s
% Output : Refutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 12 unt; 3 def)
% Number of atoms : 45 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension1) ).
fof(f11,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension2) ).
fof(f51,axiom,
! [X0,X1] : between(X0,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3) ).
fof(f54,axiom,
! [X0,X1] : between(X0,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2) ).
fof(f65,negated_conjecture,
( lower_dimension_point_1 = lower_dimension_point_2
| lower_dimension_point_2 = lower_dimension_point_3
| lower_dimension_point_1 = lower_dimension_point_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_axioms_points_are_distinct) ).
fof(f68,definition,
( spl0_1
<=> lower_dimension_point_1 = lower_dimension_point_3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f70,plain,
( lower_dimension_point_1 = lower_dimension_point_3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f72,definition,
( spl0_2
<=> lower_dimension_point_2 = lower_dimension_point_3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f74,plain,
( lower_dimension_point_2 = lower_dimension_point_3
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f76,definition,
( spl0_3
<=> lower_dimension_point_1 = lower_dimension_point_2 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f78,plain,
( lower_dimension_point_1 = lower_dimension_point_2
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f65,f76,f72,f68]) ).
fof(f80,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)
| ~ spl0_2 ),
inference(superposition,[],[f10,f74]) ).
fof(f81,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f80,f51]) ).
fof(f82,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f81]) ).
fof(f83,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_3)
| ~ spl0_3 ),
inference(superposition,[],[f10,f78]) ).
fof(f84,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f83,f54]) ).
fof(f85,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f84]) ).
fof(f88,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1)
| ~ spl0_1 ),
inference(superposition,[],[f11,f70]) ).
fof(f89,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f88,f51]) ).
fof(f90,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f89]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f79]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f82]) ).
cnf(s3,plain,
~ spl0_3,
inference(sat_conversion,[],[f85]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f90]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s2,s4]) ).
fof(f91,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO036-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 06:40:35 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 2.34/0.94 % (2015183)Input is clausal, will run a generic CNF schedule.
% 2.34/0.94 % (2015190)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3410680126:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.34/0.94 % (2015194)dis-21_1_sil=8000:lcm=predicate:random_seed=2531613251: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)
% 2.34/0.94 % (2015192)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=690502824:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.34/0.94 % (2015191)lrs+10_1_sil=8000:sp=occurrence:random_seed=1253630947:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.34/0.94 % (2015189)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=318294805:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.34/0.94 % (2015193)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1477620856:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.34/0.94 % (2015188)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=1595103168:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.34/0.94 % (2015192)Also succeeded, but the first one will report.
% 2.34/0.94 % (2015191)First to succeed.
% 2.34/0.94 % (2015193)Also succeeded, but the first one will report.
% 2.34/0.94 % (2015191)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2015183"
% 2.34/0.94 % (2015194)Instruction limit reached!
% 2.34/0.94 % (2015194)------------------------------
% 2.34/0.94 % (2015194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.34/0.94 % (2015194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.94 % (2015194)CaDiCaL version: 2.1.3
% 2.34/0.94 % (2015194)Termination reason: Instruction limit
% 2.34/0.94 % (2015194)Termination phase: Saturation
% 2.34/0.94 % (2015194)Time elapsed: 0.035 s
% 2.34/0.94 % (2015194)Peak memory usage: 88 MB
% 2.34/0.94 % (2015194)Instructions burned: 119 (million)
% 2.34/0.94 % (2015191)Refutation found. Thanks to Tanya!
% 2.34/0.94 % SZS status Unsatisfiable for theBenchmark
% 2.34/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 2.34/0.94 % (2015191)------------------------------
% 2.34/0.94 % (2015191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.34/0.94 % (2015191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.94 % (2015191)CaDiCaL version: 2.1.3
% 2.34/0.94 % (2015191)Termination reason: Refutation
% 2.34/0.94 % (2015191)Time elapsed: 0.001 s
% 2.34/0.94 % (2015191)Peak memory usage: 89 MB
% 2.34/0.94 % (2015191)Instructions burned: 1 (million)
% 2.34/0.94 % (2015191)------------------------------
% 2.34/0.94 % (2015191)------------------------------
% 2.34/0.94 % (2015183)Success in time 0.303 s
% 2.34/0.94 % Vampire exiting
%------------------------------------------------------------------------------