%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO227+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 09:54:09 AM UTC 2026
% Result : Theorem 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 6 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 38 ( 19 ~; 9 |; 4 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 36 ( 34 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
<=> unequally_directed_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a1_defns) ).
fof(f4,axiom,
! [X0,X1] :
( equally_directed_lines(X0,X1)
<=> ~ unequally_directed_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a4_defns) ).
fof(f5,axiom,
! [X0,X1] :
( equally_directed_opposite_lines(X0,X1)
<=> ~ unequally_directed_opposite_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a5_defns) ).
fof(f18,axiom,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax8_basics) ).
fof(f37,conjecture,
! [X0,X1] :
~ ( equally_directed_lines(X0,X1)
& equally_directed_opposite_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1] :
~ ( equally_directed_lines(X0,X1)
& equally_directed_opposite_lines(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f39,plain,
! [X0,X1] :
( equally_directed_lines(X0,X1)
=> ~ unequally_directed_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f42,plain,
! [X0,X1] :
( equally_directed_opposite_lines(X0,X1)
=> ~ unequally_directed_opposite_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f5]) ).
fof(f43,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
=> unequally_directed_opposite_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f44,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f46,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f47,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X0,X1)
| ~ equally_directed_opposite_lines(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f82,plain,
? [X0,X1] :
( equally_directed_lines(X0,X1)
& equally_directed_opposite_lines(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f83,plain,
( equally_directed_lines(sK0,sK1)
& equally_directed_opposite_lines(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f82]) ).
fof(f84,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f86,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f87,plain,
! [X0,X1] :
( ~ equally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f100,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f123,plain,
equally_directed_opposite_lines(sK0,sK1),
inference(cnf_transformation,[],[f83]) ).
fof(f124,plain,
equally_directed_lines(sK0,sK1),
inference(cnf_transformation,[],[f83]) ).
fof(f125,plain,
~ unequally_directed_lines(sK0,sK1),
inference(resolution,[],[f86,f124]) ).
fof(f128,plain,
~ unequally_directed_opposite_lines(sK0,sK1),
inference(resolution,[],[f87,f123]) ).
fof(f129,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(resolution,[],[f100,f84]) ).
fof(f133,plain,
unequally_directed_opposite_lines(sK0,sK1),
inference(resolution,[],[f129,f125]) ).
fof(f137,plain,
$false,
inference(forward_subsumption_resolution,[],[f133,f128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO227+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n007.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 07:43:55 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 0.16/0.47 % (1079997)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (1080002)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3949910483_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % TRYING [1]
% 0.16/0.47 % TRYING [2]
% 0.16/0.47 % TRYING [3]
% 0.16/0.47 % (1080003)% WARNING: option uhcvi not known.
% 0.16/0.47 % TRYING [4]
% 0.16/0.47 % TRYING [5]
% 0.16/0.47 % (1080005)dis+10_1_sil=32000:sp=arity:random_seed=407342051:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (1080003)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2244933695:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (1080004)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4002587254:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (1080006)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1945485499:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (1080008)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3586917904:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % (1080007)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=837673608:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % (1080005) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1079997-1080005"...
% 0.16/0.47 % (1080007) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1079997-1080007"...
% 0.16/0.47 % (1080008) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1079997-1080008"...
% 0.16/0.47 % (1080006) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1079997-1080006"...
% 0.16/0.47 % TRYING [6]
% 0.16/0.47 % (1080005)...printing done.
% 0.16/0.47 % (1080004) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1079997-1080004"...
% 0.16/0.47 % (1080003) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1079997-1080003"...
% 0.16/0.47 % (1080007)...printing done.
% 0.16/0.47 % (1080008)...printing done.
% 0.16/0.47 % (1080006)...printing done.
% 0.16/0.47 % (1080004)...printing done.
% 0.16/0.47 % (1080003)...printing done.
% 0.16/0.47 % (1080005)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Theorem for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (1080005)------------------------------
% 0.16/0.47 % (1080005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (1080005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (1080005)CaDiCaL version: 2.1.3
% 0.16/0.47 % (1080005)Termination reason: Refutation
% 0.16/0.47 % (1080005)Time elapsed: 0.002 s
% 0.16/0.47 % (1080005)Peak memory usage: 11 MB
% 0.16/0.47 % (1080005)Instructions burned: 2 (million)
% 0.16/0.47 % (1079997)Success in time 0.041 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------