%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO231+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 : 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 09:54:10 AM UTC 2026
% Result : Theorem 0.09s 0.45s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 55 ( 17 unt; 0 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 103 ( 43 ~; 40 |; 12 &)
% ( 3 <=>; 5 =>; 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; 0-1 aty)
% Number of variables : 83 ( 77 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
<=> unequally_directed_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO009+0.ax',a5_defns) ).
fof(f15,axiom,
! [X0] : equally_directed_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax5_basics) ).
fof(f16,axiom,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax6_basics) ).
fof(f18,axiom,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax8_basics) ).
fof(f19,axiom,
! [X0,X1] :
( ( unequally_directed_lines(X0,X1)
& unequally_directed_lines(X0,reverse_line(X1)) )
=> ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax9_basics) ).
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] :
( ( equally_directed_opposite_lines(X0,X1)
& equally_directed_lines(X0,X2) )
=> equally_directed_opposite_lines(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2] :
( ( equally_directed_opposite_lines(X0,X1)
& equally_directed_lines(X0,X2) )
=> equally_directed_opposite_lines(X1,X2) ),
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(f43,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f49,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f50,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f49]) ).
fof(f53,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f54,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(flattening,[],[f53]) ).
fof(f56,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f78,plain,
? [X0,X1,X2] :
( ~ equally_directed_opposite_lines(X1,X2)
& equally_directed_opposite_lines(X0,X1)
& equally_directed_lines(X0,X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f79,plain,
? [X0,X1,X2] :
( ~ equally_directed_opposite_lines(X1,X2)
& equally_directed_opposite_lines(X0,X1)
& equally_directed_lines(X0,X2) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( ( unequally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) )
& ( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f81,plain,
! [X0,X1] :
( ( equally_directed_opposite_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) )
& ( ~ unequally_directed_opposite_lines(X0,X1)
| ~ equally_directed_opposite_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f82,plain,
( ~ equally_directed_opposite_lines(sK1,sK2)
& equally_directed_opposite_lines(sK0,sK1)
& equally_directed_lines(sK0,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f79]) ).
fof(f83,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f84,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f86,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f87,plain,
! [X0,X1] :
( ~ equally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f88,plain,
! [X0,X1] :
( equally_directed_opposite_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f95,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f15]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f101,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f102,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f105,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f56]) ).
fof(f106,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f56]) ).
fof(f124,plain,
equally_directed_lines(sK0,sK2),
inference(cnf_transformation,[],[f82]) ).
fof(f125,plain,
equally_directed_opposite_lines(sK0,sK1),
inference(cnf_transformation,[],[f82]) ).
fof(f126,plain,
~ equally_directed_opposite_lines(sK1,sK2),
inference(cnf_transformation,[],[f82]) ).
fof(f128,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(forward_subsumption_resolution,[],[f102,f106]) ).
fof(f129,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(forward_subsumption_resolution,[],[f128,f105]) ).
fof(f130,plain,
~ unequally_directed_lines(sK0,sK2),
inference(resolution,[],[f86,f124]) ).
fof(f131,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(resolution,[],[f86,f95]) ).
fof(f133,plain,
~ unequally_directed_opposite_lines(sK0,sK1),
inference(resolution,[],[f87,f125]) ).
fof(f134,plain,
unequally_directed_opposite_lines(sK1,sK2),
inference(resolution,[],[f88,f126]) ).
fof(f136,plain,
unequally_directed_lines(sK1,reverse_line(sK2)),
inference(resolution,[],[f83,f134]) ).
fof(f138,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(resolution,[],[f101,f84]) ).
fof(f152,plain,
unequally_directed_opposite_lines(sK0,sK2),
inference(resolution,[],[f138,f130]) ).
fof(f154,plain,
unequally_directed_lines(sK0,reverse_line(sK2)),
inference(resolution,[],[f152,f83]) ).
fof(f155,plain,
! [X0] :
( unequally_directed_lines(reverse_line(sK2),X0)
| unequally_directed_lines(sK1,X0) ),
inference(resolution,[],[f96,f136]) ).
fof(f161,plain,
! [X0] :
( unequally_directed_lines(reverse_line(sK2),X0)
| unequally_directed_lines(sK0,X0) ),
inference(resolution,[],[f154,f96]) ).
fof(f162,plain,
! [X0] :
( ~ unequally_directed_lines(reverse_line(sK2),X0)
| unequally_directed_lines(sK1,reverse_line(X0)) ),
inference(resolution,[],[f155,f129]) ).
fof(f171,plain,
! [X0] :
( unequally_directed_lines(sK1,reverse_line(X0))
| unequally_directed_lines(sK0,X0) ),
inference(resolution,[],[f162,f161]) ).
fof(f175,plain,
! [X0] :
( ~ unequally_directed_lines(sK1,X0)
| unequally_directed_lines(sK0,X0) ),
inference(resolution,[],[f171,f129]) ).
fof(f180,plain,
! [X0] :
( unequally_directed_lines(sK1,X0)
| unequally_directed_lines(sK0,reverse_line(X0)) ),
inference(resolution,[],[f175,f101]) ).
fof(f251,plain,
unequally_directed_lines(sK0,reverse_line(sK1)),
inference(resolution,[],[f180,f131]) ).
fof(f258,plain,
unequally_directed_opposite_lines(sK0,sK1),
inference(resolution,[],[f251,f84]) ).
fof(f260,plain,
$false,
inference(forward_subsumption_resolution,[],[f258,f133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO231+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % 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 07:47:02 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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 % (616777)Will run a generic schedule for satisfiability detection.
% 0.09/0.45 % (616782)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=519876173_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.45 % TRYING [1]
% 0.09/0.45 % TRYING [2]
% 0.09/0.45 % TRYING [3]
% 0.09/0.45 % TRYING [4]
% 0.09/0.45 % (616783)% WARNING: option uhcvi not known.
% 0.09/0.45 % TRYING [5]
% 0.09/0.45 % (616784)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2322322820:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.45 % (616785)dis+10_1_sil=32000:sp=arity:random_seed=217277371:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.45 % (616786)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=730402697:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.45 % (616787)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3787007512:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.45 % (616788)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3584670635:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.45 % (616783)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4083928007:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.45 % TRYING [6]
% 0.09/0.45 % (616787) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-616777-616787"...
% 0.09/0.45 % (616786) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-616777-616786"...
% 0.09/0.45 % (616785) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-616777-616785"...
% 0.09/0.45 % (616784) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-616777-616784"...
% 0.09/0.45 % (616787)...printing done.
% 0.09/0.45 % (616786)...printing done.
% 0.09/0.45 % (616785)...printing done.
% 0.09/0.45 % (616787)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
% 0.09/0.46 % (616787)------------------------------
% 0.09/0.46 % (616787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.46 % (616787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.46 % (616787)CaDiCaL version: 2.1.3
% 0.09/0.46 % (616787)Termination reason: Refutation
% 0.09/0.46 % (616787)Time elapsed: 0.005 s
% 0.09/0.46 % (616787)Peak memory usage: 12 MB
% 0.09/0.46 % (616787)Instructions burned: 6 (million)
% 0.09/0.46 % (616777)Success in time 0.04 s
% 0.09/0.46 % Vampire exiting
%------------------------------------------------------------------------------