%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO233+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 : n004.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 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 14 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 26 ~; 20 |; 3 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 40 ( 39 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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(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] : equally_directed_lines(reverse_line(reverse_line(X0)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0] : equally_directed_lines(reverse_line(reverse_line(X0)),X0),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f51,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(f52,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,[],[f51]) ).
fof(f54,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f76,plain,
? [X0] : ~ equally_directed_lines(reverse_line(reverse_line(X0)),X0),
inference(ennf_transformation,[],[f38]) ).
fof(f77,plain,
! [X0,X1] :
( ( equally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X1) )
& ( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f78,plain,
~ equally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f76]) ).
fof(f80,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f81,plain,
! [X0,X1] :
( equally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f88,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f15]) ).
fof(f94,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f95,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,[],[f52]) ).
fof(f98,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f99,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f54]) ).
fof(f117,plain,
~ equally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(cnf_transformation,[],[f78]) ).
fof(f119,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,[],[f95,f99]) ).
fof(f120,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(forward_subsumption_resolution,[],[f119,f98]) ).
fof(f121,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(resolution,[],[f80,f88]) ).
fof(f123,plain,
unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(resolution,[],[f81,f117]) ).
fof(f125,plain,
! [X0] : unequally_directed_lines(reverse_line(X0),X0),
inference(resolution,[],[f94,f121]) ).
fof(f126,plain,
! [X0] : ~ unequally_directed_lines(reverse_line(reverse_line(X0)),X0),
inference(resolution,[],[f120,f125]) ).
fof(f129,plain,
$false,
inference(resolution,[],[f126,f123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO233+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n004.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 07:47:36 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 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
% 0.17/0.47 % (3182183)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (3182194)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2929680128:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % (3182189)% WARNING: option uhcvi not known.
% 0.17/0.47 % (3182188)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1113389801_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (3182189)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1175039621:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (3182190)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=212351132:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (3182191)dis+10_1_sil=32000:sp=arity:random_seed=2498428279:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (3182193)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1582165702:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (3182192)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1124059541:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (3182193) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3182183-3182193"...
% 0.17/0.47 % TRYING [1]
% 0.17/0.47 % (3182190) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3182183-3182190"...
% 0.17/0.47 % TRYING [2]
% 0.17/0.47 % (3182192) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3182183-3182192"...
% 0.17/0.47 % TRYING [3]
% 0.17/0.47 % (3182193)...printing done.
% 0.17/0.47 % (3182191) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3182183-3182191"...
% 0.17/0.47 % (3182189) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3182183-3182189"...
% 0.17/0.47 % (3182190)...printing done.
% 0.17/0.47 % (3182192)...printing done.
% 0.17/0.47 % (3182193)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (3182193)------------------------------
% 0.17/0.47 % (3182193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (3182193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (3182193)CaDiCaL version: 2.1.3
% 0.17/0.47 % (3182193)Termination reason: Refutation
% 0.17/0.47 % (3182193)Time elapsed: 0.002 s
% 0.17/0.47 % (3182193)Peak memory usage: 12 MB
% 0.17/0.47 % (3182193)Instructions burned: 2 (million)
% 0.17/0.47 % (3182183)Success in time 0.037 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------