%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO233+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 09:52:09 AM UTC 2026
% Result : Theorem 2.63s 1.04s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 13 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 28 ~; 22 |; 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 : 42 ( 41 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( equally_directed_lines(X0,X1)
<=> ~ unequally_directed_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4_defns) ).
fof(f15,axiom,
! [X0] : equally_directed_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5_basics) ).
fof(f18,axiom,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',ax9_basics) ).
fof(f21,axiom,
! [X0,X1] :
~ ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11_basics) ).
fof(f37,conjecture,
! [X0] : equally_directed_lines(reverse_line(reverse_line(X0)),X0),
file('/export/starexec/sandbox/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] :
( ~ unequally_directed_lines(X0,X1)
| ~ equally_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(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(f118,plain,
unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(resolution,[],[f81,f117]) ).
fof(f120,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,reverse_line(X1)) ),
inference(resolution,[],[f94,f80]) ).
fof(f121,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,reverse_line(X1))
| ~ equally_directed_lines(X0,X1) ),
inference(resolution,[],[f120,f80]) ).
fof(f123,plain,
! [X0] : ~ equally_directed_lines(reverse_line(X0),X0),
inference(resolution,[],[f121,f88]) ).
fof(f126,plain,
! [X0] : unequally_directed_lines(reverse_line(X0),X0),
inference(resolution,[],[f123,f81]) ).
fof(f134,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(f135,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(forward_subsumption_resolution,[],[f134,f99]) ).
fof(f136,plain,
! [X0] : ~ unequally_directed_lines(reverse_line(reverse_line(X0)),X0),
inference(resolution,[],[f135,f126]) ).
fof(f147,plain,
$false,
inference(resolution,[],[f136,f118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO233+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n011.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 07:47:45 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.63/1.04 % (2072896)Detected formulas, will run a generic FOF schedule.
% 2.63/1.04 % (2072906)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1243398127:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.63/1.04 % (2072906)First to succeed.
% 2.63/1.04 % (2072906)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2072896"
% 2.63/1.04 % (2072907)dis-21_1_sil=8000:lcm=predicate:random_seed=1119272004:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.63/1.04 % (2072905)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4262447887:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.63/1.04 % (2072904)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2472271893:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.63/1.04 % (2072901)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=394868109:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.63/1.04 % (2072902)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2222132315:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.63/1.04 % (2072903)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=939160317:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.63/1.04 % (2072904)Refutation not found, incomplete strategy
% 2.63/1.04 % (2072904)------------------------------
% 2.63/1.04 % (2072904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.04 % (2072904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.04 % (2072904)CaDiCaL version: 2.1.3
% 2.63/1.04 % (2072904)Termination reason: Refutation not found, incomplete strategy
% 2.63/1.04 % (2072904)Time elapsed: 0.001 s
% 2.63/1.04 % (2072904)Peak memory usage: 87 MB
% 2.63/1.04 % (2072905)Also succeeded, but the first one will report.
% 2.63/1.04 % (2072907)Also succeeded, but the first one will report.
% 2.63/1.04 % (2072906)Refutation found. Thanks to Tanya!
% 2.63/1.04 % SZS status Theorem for theBenchmark
% 2.63/1.04 % SZS output start Proof for theBenchmark
% See solution above
% 2.63/1.04 % (2072906)------------------------------
% 2.63/1.04 % (2072906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.04 % (2072906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.04 % (2072906)CaDiCaL version: 2.1.3
% 2.63/1.04 % (2072906)Termination reason: Refutation
% 2.63/1.04 % (2072906)Time elapsed: 0.002 s
% 2.63/1.04 % (2072906)Peak memory usage: 88 MB
% 2.63/1.04 % (2072906)Instructions burned: 3 (million)
% 2.63/1.04 % (2072906)------------------------------
% 2.63/1.04 % (2072906)------------------------------
% 2.63/1.04 % (2072896)Success in time 0.325 s
% 2.63/1.04 % Vampire exiting
%------------------------------------------------------------------------------