%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO246+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 0.07s 0.36s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 8 ~; 1 |; 5 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 14 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag10) ).
fof(f32,conjecture,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( left_apart_point(X2,reverse_line(line_connecting(X0,X1)))
=> left_apart_point(X1,line_connecting(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( left_apart_point(X2,reverse_line(line_connecting(X0,X1)))
=> left_apart_point(X1,line_connecting(X0,X2)) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f48,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f70,plain,
? [X0,X1,X2] :
( ~ left_apart_point(X1,line_connecting(X0,X2))
& left_apart_point(X2,reverse_line(line_connecting(X0,X1)))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f71,plain,
? [X0,X1,X2] :
( ~ left_apart_point(X1,line_connecting(X0,X2))
& left_apart_point(X2,reverse_line(line_connecting(X0,X1)))
& distinct_points(X0,X1) ),
inference(flattening,[],[f70]) ).
fof(f87,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f48]) ).
fof(f108,plain,
left_apart_point(sK2,reverse_line(line_connecting(sK0,sK1))),
inference(cnf_transformation,[],[f71]) ).
fof(f117,plain,
! [X0,X1] : left_apart_point(X0,X1),
inference(consistent_polarity_flipping,[],[f87]) ).
fof(f131,plain,
~ left_apart_point(sK2,reverse_line(line_connecting(sK0,sK1))),
inference(consistent_polarity_flipping,[],[f108]) ).
fof(f133,plain,
$false,
inference(backward_subsumption_resolution,[],[f131,f117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO246+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 07:51:05 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.33 Running first-order model finding
% 0.07/0.33 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
% 0.07/0.36 % (2043428)Will run a generic schedule for satisfiability detection.
% 0.07/0.36 % (2043434)% WARNING: option uhcvi not known.
% 0.07/0.36 % (2043434)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3222811764:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.36 % (2043436)dis+10_1_sil=32000:sp=arity:random_seed=1802993492:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.36 % (2043435)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=592874919:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.36 % (2043437)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3362193678:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.36 % (2043439)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=196602036:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.36 % (2043433)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3523948385_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.36 % (2043438)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2139155668:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.36 % (2043436) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2043428-2043436"...
% 0.07/0.36 % (2043434) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2043428-2043434"...
% 0.07/0.36 % (2043435) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2043428-2043435"...
% 0.07/0.36 % (2043439) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2043428-2043439"...
% 0.07/0.36 % (2043438) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2043428-2043438"...
% 0.07/0.36 % (2043437) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2043428-2043437"...
% 0.07/0.36 % (2043434)...printing done.
% 0.07/0.36 % (2043436)...printing done.
% 0.07/0.36 % (2043435)...printing done.
% 0.07/0.36 % (2043439)...printing done.
% 0.07/0.36 % (2043434)Refutation found. Thanks to Tanya!
% 0.07/0.36 % SZS status Theorem for theBenchmark
% 0.07/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.36 % (2043434)------------------------------
% 0.07/0.36 % (2043434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.36 % (2043434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.36 % (2043434)CaDiCaL version: 2.1.3
% 0.07/0.36 % (2043434)Termination reason: Refutation
% 0.07/0.36 % (2043434)Time elapsed: 0.001 s
% 0.07/0.36 % (2043434)Peak memory usage: 12 MB
% 0.07/0.36 % (2043434)Instructions burned: 1 (million)
% 0.07/0.36 % (2043428)Success in time 0.024 s
% 0.07/0.36 % Vampire exiting
%------------------------------------------------------------------------------