%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO267+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 : n015.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 09:54:19 AM UTC 2026
% Result : Theorem 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 30 ( 12 ~; 8 |; 7 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 24 ( 18 !; 6 ?)
% 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(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,X2] :
( unequally_directed_opposite_lines(X0,X1)
=> ( unequally_directed_opposite_lines(X1,X2)
| unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2] :
( unequally_directed_opposite_lines(X0,X1)
=> ( unequally_directed_opposite_lines(X1,X2)
| unequally_directed_lines(X1,X2) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f78,plain,
? [X0,X1,X2] :
( ~ unequally_directed_opposite_lines(X1,X2)
& ~ unequally_directed_lines(X1,X2)
& unequally_directed_opposite_lines(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f79,plain,
? [X0,X1,X2] :
( ~ unequally_directed_opposite_lines(X1,X2)
& ~ unequally_directed_lines(X1,X2)
& unequally_directed_opposite_lines(X0,X1) ),
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,
( ~ unequally_directed_opposite_lines(sK1,sK2)
& ~ unequally_directed_lines(sK1,sK2)
& unequally_directed_opposite_lines(sK0,sK1) ),
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_lines(X0,reverse_line(X1))
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f98,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f122,plain,
~ unequally_directed_lines(sK1,sK2),
inference(cnf_transformation,[],[f81]) ).
fof(f123,plain,
~ unequally_directed_opposite_lines(sK1,sK2),
inference(cnf_transformation,[],[f81]) ).
fof(f146,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(resolution,[],[f98,f83]) ).
fof(f150,plain,
unequally_directed_opposite_lines(sK1,sK2),
inference(resolution,[],[f146,f122]) ).
fof(f154,plain,
$false,
inference(resolution,[],[f150,f123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO267+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 % Computer : n015.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Sun Sep 27 08:00:30 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44 Running first-order model finding
% 0.12/0.44 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
% 0.15/0.48 % (1328097)Will run a generic schedule for satisfiability detection.
% 0.15/0.48 % (1328108)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=485722979:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.48 % (1328108) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1328097-1328108"...
% 0.15/0.48 % (1328103)% WARNING: option uhcvi not known.
% 0.15/0.48 % (1328108)...printing done.
% 0.15/0.48 % (1328108)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Theorem for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48 % (1328108)------------------------------
% 0.15/0.48 % (1328108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.48 % (1328108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.48 % (1328108)CaDiCaL version: 2.1.3
% 0.15/0.48 % (1328108)Termination reason: Refutation
% 0.15/0.48 % (1328108)Time elapsed: 0.002 s
% 0.15/0.48 % (1328108)Peak memory usage: 12 MB
% 0.15/0.48 % (1328108)Instructions burned: 2 (million)
% 0.15/0.48 % (1328097)Success in time 0.031 s
% 0.15/0.48 % Vampire exiting
%------------------------------------------------------------------------------