%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO242+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 : n026.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 09:52:12 AM UTC 2026
% Result : Theorem 3.49s 1.44s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 4 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 32 ( 12 ~; 3 |; 12 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 25 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( right_convergent_lines(X0,X1)
<=> left_convergent_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_defns) ).
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,X1,X2] :
( ( incident_point_and_line(X0,X2)
& distinct_points(X0,X1)
& right_convergent_lines(X2,line_connecting(X0,X1)) )
=> right_apart_point(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2] :
( ( incident_point_and_line(X0,X2)
& distinct_points(X0,X1)
& right_convergent_lines(X2,line_connecting(X0,X1)) )
=> right_apart_point(X1,X2) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f42,plain,
! [X0,X1] :
( right_convergent_lines(X0,X1)
=> left_convergent_lines(X0,reverse_line(X1)) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f43,plain,
~ ! [X0,X1,X2] :
( ( distinct_points(X0,X1)
& right_convergent_lines(X2,line_connecting(X0,X1)) )
=> right_apart_point(X1,X2) ),
inference(pure_predicate_removal,[],[f38]) ).
fof(f45,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| ~ right_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f59,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f81,plain,
? [X0,X1,X2] :
( ~ right_apart_point(X1,X2)
& distinct_points(X0,X1)
& right_convergent_lines(X2,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f82,plain,
? [X0,X1,X2] :
( ~ right_apart_point(X1,X2)
& distinct_points(X0,X1)
& right_convergent_lines(X2,line_connecting(X0,X1)) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
( ~ right_apart_point(sK1,sK2)
& distinct_points(sK0,sK1)
& right_convergent_lines(sK2,line_connecting(sK0,sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f82]) ).
fof(f85,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| ~ right_convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f104,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f59]) ).
fof(f122,plain,
right_convergent_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f83]) ).
fof(f125,plain,
! [X0,X1] : ~ right_convergent_lines(X0,X1),
inference(forward_subsumption_resolution,[],[f85,f104]) ).
fof(f126,plain,
$false,
inference(resolution,[],[f125,f122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO242+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n026.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 27 07:51:56 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 3.49/1.44 % (2507995)Detected formulas, will run a generic FOF schedule.
% 3.49/1.44 % (2508003)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3852924707:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.49/1.44 % (2508003)Refutation not found, incomplete strategy
% 3.49/1.44 % (2508003)------------------------------
% 3.49/1.44 % (2508003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.44 % (2508003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.44 % (2508003)CaDiCaL version: 2.1.3
% 3.49/1.44 % (2508003)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.44 % (2508003)Time elapsed: 0.0000 s
% 3.49/1.44 % (2508003)Peak memory usage: 87 MB
% 3.49/1.44 % (2508005)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1519863766:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.49/1.44 % (2508005)First to succeed.
% 3.49/1.44 % (2508005)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2507995"
% 3.49/1.44 % (2508001)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=446132817:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.49/1.44 % (2508004)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3338339870:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.49/1.44 % (2508000)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=2936907243:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.49/1.44 % (2508006)dis-21_1_sil=8000:lcm=predicate:random_seed=110894735: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)
% 3.49/1.44 % (2508002)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=1804704689:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.49/1.44 % (2508004)Also succeeded, but the first one will report.
% 3.49/1.44 % (2508006)Also succeeded, but the first one will report.
% 3.49/1.44 % (2508003)------------------------------
% 3.49/1.44 % (2508003)------------------------------
% 3.49/1.44 % (2508014)lrs+10_1_sil=8000:sp=occurrence:random_seed=1961407337:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.49/1.44 % (2508014)Also succeeded, but the first one will report.
% 3.49/1.44 % (2508005)Refutation found. Thanks to Tanya!
% 3.49/1.44 % SZS status Theorem for theBenchmark
% 3.49/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.44 % (2508005)------------------------------
% 3.49/1.44 % (2508005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.44 % (2508005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.44 % (2508005)CaDiCaL version: 2.1.3
% 3.49/1.44 % (2508005)Termination reason: Refutation
% 3.49/1.44 % (2508005)Time elapsed: 0.002 s
% 3.49/1.44 % (2508005)Peak memory usage: 88 MB
% 3.49/1.44 % (2508005)Instructions burned: 2 (million)
% 3.49/1.44 % (2508005)------------------------------
% 3.49/1.44 % (2508005)------------------------------
% 3.49/1.44 % (2507995)Success in time 0.404 s
% 3.49/1.44 % Vampire exiting
%------------------------------------------------------------------------------