%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO238+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 09:52:10 AM UTC 2026
% Result : Theorem 3.47s 1.46s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 5 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 52 ( 16 ~; 13 |; 18 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 51 ( 43 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( right_apart_point(X0,X1)
<=> left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_defns) ).
fof(f8,axiom,
! [X0,X1,X2] :
( divides_points(X2,X0,X1)
<=> ( ( left_apart_point(X0,X2)
& right_apart_point(X1,X2) )
| ( right_apart_point(X0,X2)
& left_apart_point(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a8_defns) ).
fof(f20,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10_basics) ).
fof(f37,conjecture,
! [X0,X1,X2,X3] :
( ( divides_points(X3,X0,X1)
& divides_points(X3,X0,X2) )
=> ~ divides_points(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( divides_points(X3,X0,X1)
& divides_points(X3,X0,X2) )
=> ~ divides_points(X3,X1,X2) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f39,plain,
! [X0,X1,X2] :
( divides_points(X2,X0,X1)
=> ( ( left_apart_point(X0,X2)
& right_apart_point(X1,X2) )
| ( right_apart_point(X0,X2)
& left_apart_point(X1,X2) ) ) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
fof(f42,plain,
? [X0,X1,X2,X3] :
( divides_points(X3,X1,X2)
& divides_points(X3,X0,X1)
& divides_points(X3,X0,X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f43,plain,
? [X0,X1,X2,X3] :
( divides_points(X3,X1,X2)
& divides_points(X3,X0,X1)
& divides_points(X3,X0,X2) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ( left_apart_point(X0,X2)
& right_apart_point(X1,X2) )
| ( right_apart_point(X0,X2)
& left_apart_point(X1,X2) )
| ~ divides_points(X2,X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( left_apart_point(X0,X2)
& right_apart_point(X1,X2) )
| ( right_apart_point(X0,X2)
& left_apart_point(X1,X2) )
| ~ divides_points(X2,X0,X1) ),
inference(flattening,[],[f44]) ).
fof(f49,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f66,plain,
( divides_points(sK3,sK1,sK2)
& divides_points(sK3,sK0,sK1)
& divides_points(sK3,sK0,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f43]) ).
fof(f67,plain,
! [X0,X1] :
( ( right_apart_point(X0,X1)
| ~ left_apart_point(X0,reverse_line(X1)) )
& ( left_apart_point(X0,reverse_line(X1))
| ~ right_apart_point(X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f70,plain,
divides_points(sK3,sK1,sK2),
inference(cnf_transformation,[],[f66]) ).
fof(f71,plain,
! [X2,X0,X1] :
( right_apart_point(X1,X2)
| left_apart_point(X1,X2)
| ~ divides_points(X2,X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f77,plain,
! [X0,X1] :
( left_apart_point(X0,reverse_line(X1))
| ~ right_apart_point(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f81,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f49]) ).
fof(f101,plain,
! [X0,X1] : ~ right_apart_point(X0,X1),
inference(forward_subsumption_resolution,[],[f77,f81]) ).
fof(f107,plain,
! [X2,X0,X1] :
( left_apart_point(X1,X2)
| ~ divides_points(X2,X0,X1) ),
inference(forward_subsumption_resolution,[],[f71,f101]) ).
fof(f108,plain,
! [X2,X0,X1] : ~ divides_points(X2,X0,X1),
inference(forward_subsumption_resolution,[],[f107,f81]) ).
fof(f111,plain,
$false,
inference(resolution,[],[f108,f70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO238+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n018.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 07:50:54 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 3.47/1.46 % (2003367)Detected formulas, will run a generic FOF schedule.
% 3.47/1.46 % (2003374)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2443908623:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.47/1.46 % (2003375)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3141868652:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.47/1.46 % (2003375)Refutation not found, incomplete strategy
% 3.47/1.46 % (2003375)------------------------------
% 3.47/1.46 % (2003375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.46 % (2003375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.46 % (2003375)CaDiCaL version: 2.1.3
% 3.47/1.46 % (2003375)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.46 % (2003375)Time elapsed: 0.001 s
% 3.47/1.46 % (2003375)Peak memory usage: 87 MB
% 3.47/1.46 % (2003373)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4293547030:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.47/1.46 % (2003372)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=3556004121:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.47/1.46 % (2003378)dis-21_1_sil=8000:lcm=predicate:random_seed=497312729:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.47/1.46 % (2003377)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3247587824:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.47/1.46 % (2003376)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3650074103:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.47/1.46 % (2003376)First to succeed.
% 3.47/1.46 % (2003377)Also succeeded, but the first one will report.
% 3.47/1.46 % (2003376)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2003367"
% 3.47/1.46 % (2003378)Also succeeded, but the first one will report.
% 3.47/1.46 [W927 07:50:54.414604949 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.47/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.46 [W927 07:50:54.414629567 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.47/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.46 [W927 07:50:54.414650253 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.47/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.46 [W927 07:50:54.414657948 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.47/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.46 [W927 07:50:54.414671541 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.47/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.46 [W927 07:50:54.414678458 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.47/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.46 [W927 07:50:54.414691868 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.47/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.46 [W927 07:50:54.414698529 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.47/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.46 [W927 07:50:54.414722727 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.47/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.46 [W927 07:50:54.414728488 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.47/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.46 [W927 07:50:54.414741198 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.47/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.46 [W927 07:50:54.414753018 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.47/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.46 % (2003375)------------------------------
% 3.47/1.46 % (2003375)------------------------------
% 3.47/1.46 % (2003376)Refutation found. Thanks to Tanya!
% 3.47/1.46 % SZS status Theorem for theBenchmark
% 3.47/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.46 % (2003376)------------------------------
% 3.47/1.46 % (2003376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.46 % (2003376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.46 % (2003376)CaDiCaL version: 2.1.3
% 3.47/1.46 % (2003376)Termination reason: Refutation
% 3.47/1.46 % (2003376)Time elapsed: 0.002 s
% 3.47/1.46 % (2003376)Peak memory usage: 88 MB
% 3.47/1.46 % (2003376)Instructions burned: 1 (million)
% 3.47/1.46 % (2003376)------------------------------
% 3.47/1.46 % (2003376)------------------------------
% 3.47/1.46 % (2003367)Success in time 0.406 s
% 3.47/1.46 % Vampire exiting
%------------------------------------------------------------------------------