%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO234+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 : n006.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 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 15 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 79 ( 40 ~; 29 |; 6 &)
% ( 0 <=>; 4 =>; 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 : 54 ( 48 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] : ~ unequally_directed_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag5) ).
fof(f11,axiom,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag6) ).
fof(f14,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/sandbox/benchmark/Axioms/GEO007+0.ax',oag9) ).
fof(f16,axiom,
! [X0,X1] :
~ ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag11) ).
fof(f32,conjecture,
! [X0,X1,X2] :
( unequally_directed_lines(X0,reverse_line(X1))
=> ( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,reverse_line(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X1,X2] :
( unequally_directed_lines(X0,reverse_line(X1))
=> ( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,reverse_line(X2)) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f40,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f41,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f40]) ).
fof(f46,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,[],[f14]) ).
fof(f47,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,[],[f46]) ).
fof(f49,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f70,plain,
? [X0,X1,X2] :
( ~ unequally_directed_lines(X0,X2)
& ~ unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f33]) ).
fof(f71,plain,
? [X0,X1,X2] :
( ~ unequally_directed_lines(X0,X2)
& ~ unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X0,reverse_line(X1)) ),
inference(flattening,[],[f70]) ).
fof(f78,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f85,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,[],[f47]) ).
fof(f88,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f49]) ).
fof(f89,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f49]) ).
fof(f107,plain,
unequally_directed_lines(sK0,reverse_line(sK1)),
inference(cnf_transformation,[],[f71]) ).
fof(f108,plain,
~ unequally_directed_lines(sK1,reverse_line(sK2)),
inference(cnf_transformation,[],[f71]) ).
fof(f109,plain,
~ unequally_directed_lines(sK0,sK2),
inference(cnf_transformation,[],[f71]) ).
fof(f111,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,X1) ),
inference(forward_subsumption_resolution,[],[f85,f88]) ).
fof(f112,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(forward_subsumption_resolution,[],[f111,f89]) ).
fof(f113,plain,
~ unequally_directed_lines(sK0,sK1),
inference(resolution,[],[f112,f107]) ).
fof(f143,plain,
! [X0] :
( unequally_directed_lines(X0,sK2)
| ~ unequally_directed_lines(X0,sK0) ),
inference(resolution,[],[f79,f109]) ).
fof(f144,plain,
! [X0] :
( unequally_directed_lines(X0,sK1)
| ~ unequally_directed_lines(X0,sK0) ),
inference(resolution,[],[f79,f113]) ).
fof(f145,plain,
! [X0] :
( unequally_directed_lines(X0,reverse_line(sK2))
| ~ unequally_directed_lines(X0,sK1) ),
inference(resolution,[],[f79,f108]) ).
fof(f151,plain,
! [X0] :
( ~ unequally_directed_lines(sK0,X0)
| unequally_directed_lines(X0,sK2) ),
inference(resolution,[],[f79,f109]) ).
fof(f155,plain,
~ unequally_directed_lines(sK2,sK0),
inference(resolution,[],[f143,f78]) ).
fof(f162,plain,
! [X0] :
( ~ unequally_directed_lines(sK2,X0)
| unequally_directed_lines(X0,sK0) ),
inference(resolution,[],[f155,f79]) ).
fof(f342,plain,
~ unequally_directed_lines(reverse_line(sK2),sK1),
inference(resolution,[],[f145,f78]) ).
fof(f349,plain,
~ unequally_directed_lines(reverse_line(sK2),sK0),
inference(resolution,[],[f342,f144]) ).
fof(f374,plain,
~ unequally_directed_lines(sK2,reverse_line(sK2)),
inference(resolution,[],[f349,f162]) ).
fof(f392,plain,
! [X0] :
( ~ unequally_directed_lines(X0,sK2)
| unequally_directed_lines(X0,reverse_line(sK2)) ),
inference(resolution,[],[f374,f79]) ).
fof(f393,plain,
! [X0] : ~ unequally_directed_lines(X0,sK2),
inference(forward_subsumption_resolution,[],[f392,f112]) ).
fof(f449,plain,
! [X0] : ~ unequally_directed_lines(sK0,X0),
inference(resolution,[],[f393,f151]) ).
fof(f612,plain,
$false,
inference(resolution,[],[f449,f107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO234+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n006.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 07:47:41 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 0.18/0.48 % (2663159)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (2663168)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3881428371:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.48 % (2663165)% WARNING: option uhcvi not known.
% 0.18/0.48 % (2663168) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2663159-2663168"...
% 0.18/0.48 % (2663164)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=362387707_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.48 % (2663168)...printing done.
% 0.18/0.48 % (2663165)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2824641520:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.48 % (2663166)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2401193460:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.48 % (2663167)dis+10_1_sil=32000:sp=arity:random_seed=3464727449:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.48 % (2663168)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (2663168)------------------------------
% 0.18/0.48 % (2663168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48 % (2663168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48 % (2663168)CaDiCaL version: 2.1.3
% 0.18/0.48 % (2663168)Termination reason: Refutation
% 0.18/0.48 % (2663168)Time elapsed: 0.007 s
% 0.18/0.48 % (2663168)Peak memory usage: 12 MB
% 0.18/0.48 % (2663168)Instructions burned: 19 (million)
% 0.18/0.48 % (2663159)Success in time 0.039 s
% 0.18/0.48 % Vampire exiting
%------------------------------------------------------------------------------