%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO242+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 : n008.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 09:54:13 AM UTC 2026
% Result : Theorem 0.13s 0.42s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 4 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 32 ( 12 ~; 3 |; 12 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 25 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( right_convergent_lines(X0,X1)
<=> left_convergent_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a3_defns) ).
fof(f21,axiom,
! [X0,X1] :
~ ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax11_basics) ).
fof(f37,conjecture,
! [X0,X1,X2] :
( ( incident_point_and_line(X0,X2)
& distinct_points(X0,X1)
& right_convergent_lines(X2,line_connecting(X0,X1)) )
=> right_apart_point(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2] :
( ( incident_point_and_line(X0,X2)
& distinct_points(X0,X1)
& right_convergent_lines(X2,line_connecting(X0,X1)) )
=> right_apart_point(X1,X2) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f42,plain,
! [X0,X1] :
( right_convergent_lines(X0,X1)
=> left_convergent_lines(X0,reverse_line(X1)) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f43,plain,
~ ! [X0,X1,X2] :
( ( distinct_points(X0,X1)
& right_convergent_lines(X2,line_connecting(X0,X1)) )
=> right_apart_point(X1,X2) ),
inference(pure_predicate_removal,[],[f38]) ).
fof(f45,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| ~ right_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f59,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f81,plain,
? [X0,X1,X2] :
( ~ right_apart_point(X1,X2)
& distinct_points(X0,X1)
& right_convergent_lines(X2,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f82,plain,
? [X0,X1,X2] :
( ~ right_apart_point(X1,X2)
& distinct_points(X0,X1)
& right_convergent_lines(X2,line_connecting(X0,X1)) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
( ~ right_apart_point(sK1,sK2)
& distinct_points(sK0,sK1)
& right_convergent_lines(sK2,line_connecting(sK0,sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f82]) ).
fof(f85,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| ~ right_convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f103,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f59]) ).
fof(f122,plain,
right_convergent_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f83]) ).
fof(f127,plain,
! [X0,X1] : ~ right_convergent_lines(X0,X1),
inference(forward_subsumption_resolution,[],[f85,f103]) ).
fof(f129,plain,
$false,
inference(resolution,[],[f127,f122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO242+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.35 % Computer : n008.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sun Sep 27 07:49:55 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 Running first-order model finding
% 0.13/0.39 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
% 0.13/0.42 % (899274)Will run a generic schedule for satisfiability detection.
% 0.13/0.42 % (899284)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1525187790:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.42 % (899284) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-899274-899284"...
% 0.13/0.42 % (899284)...printing done.
% 0.13/0.42 % (899284)Refutation found. Thanks to Tanya!
% 0.13/0.42 % SZS status Theorem for theBenchmark
% 0.13/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.42 % (899284)------------------------------
% 0.13/0.42 % (899284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.42 % (899284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.42 % (899284)CaDiCaL version: 2.1.3
% 0.13/0.42 % (899284)Termination reason: Refutation
% 0.13/0.42 % (899284)Time elapsed: 0.001 s
% 0.13/0.42 % (899284)Peak memory usage: 11 MB
% 0.13/0.42 % (899284)Instructions burned: 2 (million)
% 0.13/0.42 % (899274)Success in time 0.026 s
% 0.13/0.42 % Vampire exiting
%------------------------------------------------------------------------------