%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO206+3 : TPTP v9.3.1. Bugfixed v4.0.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 09:54:00 AM UTC 2026
% Result : Theorem 0.10s 0.46s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 9 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 52 ( 21 ~; 15 |; 8 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 52 ( 46 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart5) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax',p1) ).
fof(f16,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax',cp1) ).
fof(f32,axiom,
! [X0,X1] :
( equal_lines(X0,X1)
<=> ~ distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',ax2) ).
fof(f33,axiom,
! [X0,X1] :
( parallel_lines(X0,X1)
<=> ~ convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a3) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( incident_point_and_line(X0,X1)
& parallel_lines(X1,X2) )
=> equal_lines(X1,parallel_through_point(X2,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( incident_point_and_line(X0,X1)
& parallel_lines(X1,X2) )
=> equal_lines(X1,parallel_through_point(X2,X0)) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f39,plain,
! [X0,X1] :
( parallel_lines(X0,X1)
=> ~ convergent_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
fof(f40,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
=> equal_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f43,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f44,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f43]) ).
fof(f59,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f79,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f80,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f82,plain,
? [X0,X1,X2] :
( ~ equal_lines(X1,parallel_through_point(X2,X0))
& incident_point_and_line(X0,X1)
& parallel_lines(X1,X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f83,plain,
? [X0,X1,X2] :
( ~ equal_lines(X1,parallel_through_point(X2,X0))
& incident_point_and_line(X0,X1)
& parallel_lines(X1,X2) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
( ~ equal_lines(sK1,parallel_through_point(sK2,sK0))
& incident_point_and_line(sK0,sK1)
& parallel_lines(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f83]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X1,X2)
| distinct_lines(X0,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f99,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f100,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f16]) ).
fof(f121,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f122,plain,
! [X0,X1] :
( ~ parallel_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f124,plain,
parallel_lines(sK1,sK2),
inference(cnf_transformation,[],[f84]) ).
fof(f126,plain,
~ equal_lines(sK1,parallel_through_point(sK2,sK0)),
inference(cnf_transformation,[],[f84]) ).
fof(f142,plain,
~ convergent_lines(sK1,sK2),
inference(resolution,[],[f124,f122]) ).
fof(f184,plain,
distinct_lines(sK1,parallel_through_point(sK2,sK0)),
inference(resolution,[],[f121,f126]) ).
fof(f223,plain,
! [X0] :
( distinct_lines(parallel_through_point(sK2,sK0),X0)
| distinct_lines(sK1,X0) ),
inference(resolution,[],[f89,f184]) ).
fof(f232,plain,
! [X0] :
( convergent_lines(parallel_through_point(sK2,sK0),X0)
| distinct_lines(sK1,X0) ),
inference(resolution,[],[f223,f99]) ).
fof(f244,plain,
distinct_lines(sK1,sK2),
inference(resolution,[],[f232,f100]) ).
fof(f248,plain,
convergent_lines(sK1,sK2),
inference(resolution,[],[f244,f99]) ).
fof(f249,plain,
$false,
inference(forward_subsumption_resolution,[],[f248,f142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO206+3 : TPTP v9.3.1. Bugfixed v4.0.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n019.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 07:36:49 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.46 % (2766915)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (2766922)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=338955510:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (2766922) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2766915-2766922"...
% 0.10/0.46 % (2766922)...printing done.
% 0.10/0.46 % (2766921)% WARNING: option uhcvi not known.
% 0.10/0.46 % (2766922)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Theorem for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (2766922)------------------------------
% 0.10/0.46 % (2766922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (2766922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (2766922)CaDiCaL version: 2.1.3
% 0.10/0.46 % (2766922)Termination reason: Refutation
% 0.10/0.46 % (2766922)Time elapsed: 0.002 s
% 0.10/0.46 % (2766922)Peak memory usage: 12 MB
% 0.10/0.46 % (2766922)Instructions burned: 4 (million)
% 0.10/0.46 % (2766915)Success in time 0.039 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------