%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO217+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 09:52:04 AM UTC 2026
% Result : Theorem 0.37s 16.21s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 9 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 47 ( 26 ~; 10 |; 8 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 29 ( 23 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart6) ).
fof(f16,conjecture,
! [X0,X1,X2] :
( ( ~ convergent_lines(X0,X1)
& ~ convergent_lines(X0,X2) )
=> ~ convergent_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f17,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ convergent_lines(X0,X1)
& ~ convergent_lines(X0,X2) )
=> ~ convergent_lines(X1,X2) ),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f18,plain,
? [X0,X1,X2] :
( convergent_lines(X1,X2)
& ~ convergent_lines(X0,X1)
& ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] :
( convergent_lines(X1,X2)
& ~ convergent_lines(X0,X1)
& ~ convergent_lines(X0,X2) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f21,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
( convergent_lines(sK1,sK2)
& ~ convergent_lines(sK0,sK1)
& ~ convergent_lines(sK0,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f19]) ).
fof(f23,plain,
~ convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f22]) ).
fof(f24,plain,
~ convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f22]) ).
fof(f25,plain,
convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f22]) ).
fof(f26,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f27,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f28,plain,
! [X0] :
( convergent_lines(X0,sK2)
| ~ convergent_lines(X0,sK0) ),
inference(resolution,[],[f26,f23]) ).
fof(f29,plain,
! [X0] :
( convergent_lines(X0,sK1)
| ~ convergent_lines(X0,sK0) ),
inference(resolution,[],[f26,f24]) ).
fof(f32,plain,
~ convergent_lines(sK2,sK0),
inference(resolution,[],[f28,f27]) ).
fof(f34,plain,
~ convergent_lines(sK1,sK0),
inference(resolution,[],[f29,f27]) ).
fof(f35,plain,
! [X0] :
( convergent_lines(X0,sK0)
| ~ convergent_lines(X0,sK2) ),
inference(resolution,[],[f32,f26]) ).
fof(f38,plain,
~ convergent_lines(sK1,sK2),
inference(resolution,[],[f35,f34]) ).
fof(f40,plain,
$false,
inference(forward_subsumption_resolution,[],[f38,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO217+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 % Computer : n016.cluster.edu
% 0.13/0.42 % Model : x86_64 x86_64
% 0.13/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42 % Memory : 8046.5625MB
% 0.13/0.42 % OS : Linux 6.8.0-71-generic
% 0.11/15.45 % CPULimit : 300
% 0.11/15.45 % WCLimit : 300
% 0.11/15.45 % DateTime : Sun Sep 27 07:41:22 UTC 2026
% 0.11/15.45 % CPUTime :
% 0.11/15.46 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/15.49 Running first-order theorem proving
% 0.11/15.49 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
% 0.37/16.21 % (4088547)Detected formulas, will run a generic FOF schedule.
% 0.37/16.21 % (4088558)dis-21_1_sil=8000:lcm=predicate:random_seed=2209550511: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)
% 0.37/16.21 % (4088557)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4090343616:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.37/16.21 % (4088556)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=565313116:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.37/16.21 % (4088552)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=1914274144:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.37/16.21 % (4088555)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=490702358:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.37/16.21 % (4088554)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=2817738354:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.37/16.21 % (4088556)First to succeed.
% 0.37/16.21 % (4088556)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4088547"
% 0.37/16.21 % (4088555)Also succeeded, but the first one will report.
% 0.37/16.21 % (4088558)Also succeeded, but the first one will report.
% 0.37/16.21 % (4088557)Also succeeded, but the first one will report.
% 0.37/16.21 % (4088553)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=4068816728:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.37/16.21 % (4088556)Refutation found. Thanks to Tanya!
% 0.37/16.21 % SZS status Theorem for theBenchmark
% 0.37/16.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.37/16.21 % (4088556)------------------------------
% 0.37/16.21 % (4088556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.37/16.21 % (4088556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/16.21 % (4088556)CaDiCaL version: 2.1.3
% 0.37/16.21 % (4088556)Termination reason: Refutation
% 0.37/16.21 % (4088556)Time elapsed: 0.001 s
% 0.37/16.21 % (4088556)Peak memory usage: 87 MB
% 0.37/16.21 % (4088556)Instructions burned: 1 (million)
% 0.37/16.21 % (4088556)------------------------------
% 0.37/16.21 % (4088556)------------------------------
% 0.37/16.21 % (4088547)Success in time 0.324 s
% 0.37/16.21 % Vampire exiting
%------------------------------------------------------------------------------