%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO236+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 09:54:11 AM UTC 2026
% Result : Theorem 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 37 ( 15 ~; 6 |; 13 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 26 ( 20 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( right_apart_point(X0,X1)
<=> left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a2_defns) ).
fof(f20,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax10_basics) ).
fof(f37,conjecture,
! [X0,X1,X2] :
( ( left_apart_point(X0,X1)
& right_apart_point(X0,X2) )
=> ( unequally_directed_lines(X1,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2] :
( ( left_apart_point(X0,X1)
& right_apart_point(X0,X2) )
=> ( unequally_directed_lines(X1,X2)
| distinct_lines(X1,X2) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f53,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f76,plain,
? [X0,X1,X2] :
( ~ unequally_directed_lines(X1,X2)
& ~ distinct_lines(X1,X2)
& left_apart_point(X0,X1)
& right_apart_point(X0,X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f77,plain,
? [X0,X1,X2] :
( ~ unequally_directed_lines(X1,X2)
& ~ distinct_lines(X1,X2)
& left_apart_point(X0,X1)
& right_apart_point(X0,X2) ),
inference(flattening,[],[f76]) ).
fof(f78,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(f79,plain,
( ~ unequally_directed_lines(sK1,sK2)
& ~ distinct_lines(sK1,sK2)
& left_apart_point(sK0,sK1)
& right_apart_point(sK0,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f77]) ).
fof(f80,plain,
! [X0,X1] :
( left_apart_point(X0,reverse_line(X1))
| ~ right_apart_point(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f97,plain,
! [X0,X1] : ~ left_apart_point(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f53]) ).
fof(f118,plain,
right_apart_point(sK0,sK2),
inference(cnf_transformation,[],[f79]) ).
fof(f128,plain,
! [X0,X1] : ~ right_apart_point(X0,X1),
inference(global_subsumption,[],[f80,f97]) ).
fof(f142,plain,
$false,
inference(forward_subsumption_resolution,[],[f118,f128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO236+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n020.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 07:49:04 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.16/0.48 % (3073236)Will run a generic schedule for satisfiability detection.
% 0.16/0.48 % (3073243)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2439154425:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.48 % (3073243) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3073236-3073243"...
% 0.16/0.48 % (3073243)...printing done.
% 0.16/0.48 % (3073243)Refutation found. Thanks to Tanya!
% 0.16/0.48 % SZS status Theorem for theBenchmark
% 0.16/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (3073243)------------------------------
% 0.16/0.48 % (3073243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (3073243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (3073243)CaDiCaL version: 2.1.3
% 0.16/0.48 % (3073243)Termination reason: Refutation
% 0.16/0.48 % (3073243)Time elapsed: 0.001 s
% 0.16/0.48 % (3073243)Peak memory usage: 11 MB
% 0.16/0.48 % (3073243)Instructions burned: 2 (million)
% 0.16/0.48 % (3073236)Success in time 0.045 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------