%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO234+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 : 12
% Number of leaves : 8
% Syntax : Number of formulae : 52 ( 16 unt; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 99 ( 42 ~; 44 |; 6 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 85 ( 79 !; 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(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] :
( unequally_directed_opposite_lines(X0,X1)
=> ( unequally_directed_lines(X0,X2)
| unequally_directed_opposite_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2] :
( unequally_directed_opposite_lines(X0,X1)
=> ( unequally_directed_lines(X0,X2)
| unequally_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] :
( ~ unequally_directed_lines(X0,X2)
& ~ unequally_directed_opposite_lines(X1,X2)
& unequally_directed_opposite_lines(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f79,plain,
? [X0,X1,X2] :
( ~ unequally_directed_lines(X0,X2)
& ~ unequally_directed_opposite_lines(X1,X2)
& unequally_directed_opposite_lines(X0,X1) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f81,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f83,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f90,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f15]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f96,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f97,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f101,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f56]) ).
fof(f119,plain,
unequally_directed_opposite_lines(sK0,sK1),
inference(cnf_transformation,[],[f79]) ).
fof(f120,plain,
~ unequally_directed_opposite_lines(sK1,sK2),
inference(cnf_transformation,[],[f79]) ).
fof(f121,plain,
~ unequally_directed_lines(sK0,sK2),
inference(cnf_transformation,[],[f79]) ).
fof(f122,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_opposite_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f81]) ).
fof(f123,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f80]) ).
fof(f124,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f83]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f132,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f96]) ).
fof(f133,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f97]) ).
fof(f148,plain,
unequally_directed_lines(sK0,sK2),
inference(consistent_polarity_flipping,[],[f121]) ).
fof(f149,plain,
unequally_directed_opposite_lines(sK1,sK2),
inference(consistent_polarity_flipping,[],[f120]) ).
fof(f150,plain,
~ unequally_directed_opposite_lines(sK0,sK1),
inference(consistent_polarity_flipping,[],[f119]) ).
fof(f151,plain,
! [X0] : unequally_directed_lines(X0,X0),
inference(resolution,[],[f124,f90]) ).
fof(f160,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X0) ),
inference(resolution,[],[f127,f151]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ unequally_directed_opposite_lines(X2,X1)
| unequally_directed_lines(X2,X0)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(resolution,[],[f127,f123]) ).
fof(f180,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(forward_subsumption_resolution,[],[f133,f101]) ).
fof(f181,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(forward_subsumption_resolution,[],[f180,f101]) ).
fof(f186,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(resolution,[],[f181,f122]) ).
fof(f214,plain,
unequally_directed_lines(sK0,sK1),
inference(resolution,[],[f186,f150]) ).
fof(f216,plain,
! [X0] :
( ~ unequally_directed_lines(X0,reverse_line(sK2))
| unequally_directed_lines(sK1,X0) ),
inference(resolution,[],[f161,f149]) ).
fof(f223,plain,
! [X0] :
( ~ unequally_directed_lines(X0,sK1)
| unequally_directed_lines(sK0,X0) ),
inference(resolution,[],[f214,f127]) ).
fof(f236,plain,
unequally_directed_lines(sK1,reverse_line(sK2)),
inference(resolution,[],[f216,f151]) ).
fof(f352,plain,
unequally_directed_lines(reverse_line(sK2),sK1),
inference(resolution,[],[f236,f160]) ).
fof(f357,plain,
unequally_directed_lines(sK0,reverse_line(sK2)),
inference(resolution,[],[f352,f223]) ).
fof(f388,plain,
~ unequally_directed_lines(sK0,sK2),
inference(resolution,[],[f357,f132]) ).
fof(f393,plain,
$false,
inference(forward_subsumption_resolution,[],[f388,f148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO234+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 07:48:01 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 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 % (618039)Will run a generic schedule for satisfiability detection.
% 0.09/0.45 % (618049)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2303907632:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.45 % (618045)% WARNING: option uhcvi not known.
% 0.09/0.45 % (618046)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3501143284:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.45 % (618044)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=171832979_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.45 % (618047)dis+10_1_sil=32000:sp=arity:random_seed=330124828:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.45 % (618048)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2908556642:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.45 % (618050)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4195179087:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.45 % (618045)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3294171580:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 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 % (618045) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-618039-618045"...
% 0.09/0.45 % (618045)...printing done.
% 0.09/0.45 % TRYING [5]
% 0.09/0.45 % (618045)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 % (618045)------------------------------
% 0.09/0.45 % (618045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.45 % (618045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.45 % (618045)CaDiCaL version: 2.1.3
% 0.09/0.45 % (618045)Termination reason: Refutation
% 0.09/0.45 % (618045)Time elapsed: 0.008 s
% 0.09/0.45 % (618045)Peak memory usage: 12 MB
% 0.09/0.45 % (618045)Instructions burned: 10 (million)
% 0.09/0.45 % (618039)Success in time 0.047 s
% 0.09/0.45 % Vampire exiting
%------------------------------------------------------------------------------