%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO170+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 09:53:45 AM UTC 2026
% Result : Theorem 0.09s 0.45s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 80 ( 32 ~; 32 |; 11 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 36 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci1) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci2) ).
fof(f11,axiom,
! [X0,X1,X2,X3] :
( ( distinct_points(X0,X1)
& distinct_lines(X2,X3) )
=> ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',cu1) ).
fof(f15,conjecture,
! [X0,X1,X2] :
( ( distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X1,X2) )
=> ~ distinct_lines(X2,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X1,X2) )
=> ~ distinct_lines(X2,line_connecting(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f23,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f24,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f27,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3) ),
inference(ennf_transformation,[],[f11]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3) ),
inference(flattening,[],[f27]) ).
fof(f35,plain,
? [X0,X1,X2] :
( distinct_lines(X2,line_connecting(X0,X1))
& distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f16]) ).
fof(f36,plain,
? [X0,X1,X2] :
( distinct_lines(X2,line_connecting(X0,X1))
& distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X1,X2) ),
inference(flattening,[],[f35]) ).
fof(f43,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f47,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f51,plain,
~ apart_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f36]) ).
fof(f52,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f36]) ).
fof(f53,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f54,plain,
distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f36]) ).
fof(f55,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(resolution,[],[f43,f53]) ).
fof(f56,plain,
~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
inference(resolution,[],[f44,f53]) ).
fof(f135,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| apart_point_and_line(X1,line_connecting(sK0,sK1))
| apart_point_and_line(X1,sK2)
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| apart_point_and_line(X0,sK2) ),
inference(resolution,[],[f47,f54]) ).
fof(f140,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,sK2) ),
inference(resolution,[],[f135,f53]) ).
fof(f145,plain,
( apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f140,f56]) ).
fof(f146,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f145,f51]) ).
fof(f147,plain,
apart_point_and_line(sK0,sK2),
inference(forward_subsumption_resolution,[],[f146,f55]) ).
fof(f148,plain,
$false,
inference(forward_subsumption_resolution,[],[f147,f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO170+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 07:22:24 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 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
% 0.09/0.45 % (608499)Will run a generic schedule for satisfiability detection.
% 0.09/0.45 % (608508)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2789744:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.45 % (608508) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-608499-608508"...
% 0.09/0.45 % (608505)% WARNING: option uhcvi not known.
% 0.09/0.45 % (608508)...printing done.
% 0.09/0.45 % (608508)Refutation found. Thanks to Tanya!
% 0.09/0.45 % SZS status Theorem for theBenchmark
% 0.09/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.45 % (608508)------------------------------
% 0.09/0.45 % (608508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.45 % (608508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.45 % (608508)CaDiCaL version: 2.1.3
% 0.09/0.45 % (608508)Termination reason: Refutation
% 0.09/0.45 % (608508)Time elapsed: 0.002 s
% 0.09/0.45 % (608508)Peak memory usage: 12 MB
% 0.09/0.45 % (608508)Instructions burned: 5 (million)
% 0.09/0.45 % (608499)Success in time 0.028 s
% 0.09/0.45 % Vampire exiting
%------------------------------------------------------------------------------