%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO261+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 09:52:16 AM UTC 2026
% Result : Theorem 3.41s 1.26s
% Output : Refutation 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 4 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 74 ( 29 ~; 21 |; 16 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 67 ( 57 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
<=> unequally_directed_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_defns) ).
fof(f7,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
<=> ( unequally_directed_lines(X0,X1)
& unequally_directed_opposite_lines(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a7_defns) ).
fof(f19,axiom,
! [X0,X1] :
( ( unequally_directed_lines(X0,X1)
& unequally_directed_lines(X0,reverse_line(X1)) )
=> ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9_basics) ).
fof(f21,axiom,
! [X0,X1] :
~ ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11_basics) ).
fof(f37,conjecture,
! [X0,X1,X2,X3,X4] :
( ( between_on_line(X0,X2,X3,X4)
& convergent_lines(X0,X1)
& incident_point_and_line(X3,X1) )
=> divides_points(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( between_on_line(X0,X2,X3,X4)
& convergent_lines(X0,X1)
& incident_point_and_line(X3,X1) )
=> divides_points(X1,X2,X4) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f43,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ( unequally_directed_lines(X0,X1)
& unequally_directed_opposite_lines(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f44,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
=> unequally_directed_lines(X0,reverse_line(X1)) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f47,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( between_on_line(X0,X2,X3,X4)
& convergent_lines(X0,X1) )
=> divides_points(X1,X2,X4) ),
inference(pure_predicate_removal,[],[f38]) ).
fof(f49,plain,
? [X0,X1,X2,X3,X4] :
( ~ divides_points(X1,X2,X4)
& between_on_line(X0,X2,X3,X4)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f50,plain,
? [X0,X1,X2,X3,X4] :
( ~ divides_points(X1,X2,X4)
& between_on_line(X0,X2,X3,X4)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( ( unequally_directed_lines(X0,X1)
& unequally_directed_opposite_lines(X0,X1) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f56,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f75,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f76,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f77,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
( ~ divides_points(sK1,sK2,sK4)
& between_on_line(sK0,sK2,sK3,sK4)
& convergent_lines(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f50]) ).
fof(f79,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f82,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f83,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f92,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f115,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f75]) ).
fof(f116,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f146,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(forward_subsumption_resolution,[],[f116,f115]) ).
fof(f147,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(forward_subsumption_resolution,[],[f146,f115]) ).
fof(f151,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(resolution,[],[f147,f92]) ).
fof(f164,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f151,f83]) ).
fof(f170,plain,
! [X0,X1] : ~ convergent_lines(X0,X1),
inference(forward_subsumption_resolution,[],[f164,f82]) ).
fof(f171,plain,
$false,
inference(resolution,[],[f170,f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO261+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n006.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 07:54:25 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 3.41/1.26 % (2666187)Detected formulas, will run a generic FOF schedule.
% 3.41/1.26 % (2666196)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2045558293:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.41/1.26 % (2666193)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=3030463880:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.41/1.26 % (2666198)dis-21_1_sil=8000:lcm=predicate:random_seed=171598338: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)
% 3.41/1.26 % (2666194)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=60520767:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.41/1.26 % (2666195)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3908573411:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.41/1.26 % (2666192)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=749436252:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.41/1.26 % (2666197)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3281224949:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.41/1.26 % (2666195)Refutation not found, incomplete strategy
% 3.41/1.26 % (2666195)------------------------------
% 3.41/1.26 % (2666195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.26 % (2666195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.26 % (2666195)CaDiCaL version: 2.1.3
% 3.41/1.26 % (2666195)Termination reason: Refutation not found, incomplete strategy
% 3.41/1.26 % (2666195)Time elapsed: 0.001 s
% 3.41/1.26 % (2666195)Peak memory usage: 87 MB
% 3.41/1.26 % (2666196)First to succeed.
% 3.41/1.26 % (2666196)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2666187"
% 3.41/1.26 % (2666197)Also succeeded, but the first one will report.
% 3.41/1.26 % (2666198)Also succeeded, but the first one will report.
% 3.41/1.26 % (2666195)------------------------------
% 3.41/1.26 % (2666195)------------------------------
% 3.41/1.26 % (2666196)Refutation found. Thanks to Tanya!
% 3.41/1.26 % SZS status Theorem for theBenchmark
% 3.41/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.41/1.26 % (2666196)------------------------------
% 3.41/1.26 % (2666196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.26 % (2666196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.26 % (2666196)CaDiCaL version: 2.1.3
% 3.41/1.26 % (2666196)Termination reason: Refutation
% 3.41/1.26 % (2666196)Time elapsed: 0.003 s
% 3.41/1.26 % (2666196)Peak memory usage: 88 MB
% 3.41/1.26 % (2666196)Instructions burned: 3 (million)
% 3.41/1.26 % (2666196)------------------------------
% 3.41/1.26 % (2666196)------------------------------
% 3.41/1.26 % (2666187)Success in time 0.434 s
% 3.41/1.26 % Vampire exiting
%------------------------------------------------------------------------------