%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO242+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 09:54:12 AM UTC 2026
% Result : Theorem 0.10s 0.43s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 30 ( 13 ~; 1 |; 14 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 12 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0,X1] :
~ ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag11) ).
fof(f32,conjecture,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1)
& left_convergent_lines(X2,reverse_line(line_connecting(X0,X1))) )
=> left_apart_point(X1,reverse_line(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1)
& left_convergent_lines(X2,reverse_line(line_connecting(X0,X1))) )
=> left_apart_point(X1,reverse_line(X2)) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f49,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f70,plain,
? [X0,X1,X2] :
( ~ left_apart_point(X1,reverse_line(X2))
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1)
& left_convergent_lines(X2,reverse_line(line_connecting(X0,X1))) ),
inference(ennf_transformation,[],[f33]) ).
fof(f71,plain,
? [X0,X1,X2] :
( ~ left_apart_point(X1,reverse_line(X2))
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1)
& left_convergent_lines(X2,reverse_line(line_connecting(X0,X1))) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
( ~ left_apart_point(sK1,reverse_line(sK2))
& ~ apart_point_and_line(sK0,sK2)
& distinct_points(sK0,sK1)
& left_convergent_lines(sK2,reverse_line(line_connecting(sK0,sK1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f71]) ).
fof(f90,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f49]) ).
fof(f108,plain,
left_convergent_lines(sK2,reverse_line(line_connecting(sK0,sK1))),
inference(cnf_transformation,[],[f72]) ).
fof(f115,plain,
$false,
inference(resolution,[],[f90,f108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO242+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 07:49:15 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.43 % (2075791)Will run a generic schedule for satisfiability detection.
% 0.10/0.43 % (2075801)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1645221091:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.43 % (2075801) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2075791-2075801"...
% 0.10/0.43 % (2075801)...printing done.
% 0.10/0.43 % (2075801)Refutation found. Thanks to Tanya!
% 0.10/0.43 % SZS status Theorem for theBenchmark
% 0.10/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.43 % (2075801)------------------------------
% 0.10/0.43 % (2075801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.43 % (2075801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.43 % (2075801)CaDiCaL version: 2.1.3
% 0.10/0.43 % (2075801)Termination reason: Refutation
% 0.10/0.43 % (2075801)Time elapsed: 0.001 s
% 0.10/0.43 % (2075801)Peak memory usage: 12 MB
% 0.10/0.43 % (2075801)Instructions burned: 2 (million)
% 0.10/0.43 % (2075791)Success in time 0.026 s
% 0.10/0.43 % Vampire exiting
%------------------------------------------------------------------------------