%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR042+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 09:42:13 AM UTC 2026
% Result : Theorem 3.58s 1.27s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 8 unt; 2 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 30 ( 14 ~; 9 |; 1 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
fof(f28,axiom,
! [X0,X1] :
( borderson(X0,X1)
=> borderson(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just28) ).
fof(f30,conjecture,
? [X0] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(X0,c_georegion_l4_x27_y64) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query42) ).
fof(f31,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(X0,c_georegion_l4_x27_y64) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
fof(f46,plain,
( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f1]) ).
fof(f62,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f63,plain,
! [X0] :
( ~ borderson(X0,c_georegion_l4_x27_y64)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f31]) ).
fof(f64,plain,
( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f46]) ).
fof(f77,plain,
! [X0,X1] :
( ~ borderson(X0,X1)
| borderson(X1,X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f79,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[],[f63]) ).
fof(f80,plain,
! [X0] : ~ borderson(X0,c_georegion_l4_x27_y64),
inference(cnf_transformation,[],[f63]) ).
fof(f82,definition,
( spl0_1
<=> mtvisible(c_tptpgeo_member7_mt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f86,definition,
( spl0_2
<=> borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f88,plain,
( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f64,f86,f82]) ).
fof(f90,plain,
spl0_1,
inference(avatar_split_clause,[],[f79,f82]) ).
fof(f91,plain,
( borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64)
| ~ spl0_2 ),
inference(resolution,[],[f77,f88]) ).
fof(f92,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f91,f80]) ).
fof(f93,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f92]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f89]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f90]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f93]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f94,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR042+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.17 % Computer : n002.cluster.edu
% 0.13/0.17 % Model : x86_64 x86_64
% 0.13/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.17 % Memory : 8046.5625MB
% 0.13/0.17 % OS : Linux 6.8.0-71-generic
% 0.13/0.17 % CPULimit : 300
% 0.13/0.17 % WCLimit : 300
% 0.13/0.17 % DateTime : Mon Sep 28 22:18:07 UTC 2026
% 0.13/0.17 % CPUTime :
% 0.13/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.21 Running first-order theorem proving
% 0.13/0.21 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
% 3.58/1.27 % (840977)Detected formulas, will run a generic FOF schedule.
% 3.58/1.27 % (840985)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=863870691:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.58/1.27 % (840985)Refutation not found, incomplete strategy
% 3.58/1.27 % (840985)------------------------------
% 3.58/1.27 % (840985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.27 % (840985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.27 % (840985)CaDiCaL version: 2.1.3
% 3.58/1.27 % (840985)Termination reason: Refutation not found, incomplete strategy
% 3.58/1.27 % (840985)Time elapsed: 0.0000 s
% 3.58/1.27 % (840985)Peak memory usage: 87 MB
% 3.58/1.27 % (840982)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=3357125462:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.58/1.27 % (840983)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=3722953752:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.58/1.27 % (840984)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=468404457:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.58/1.27 % (840988)dis-21_1_sil=8000:lcm=predicate:random_seed=4229720433: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)
% 3.58/1.27 % (840987)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=646968382:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.58/1.27 % (840986)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3891916048:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.58/1.27 % (840986)Refutation not found, incomplete strategy
% 3.58/1.27 % (840986)------------------------------
% 3.58/1.27 % (840986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.27 % (840986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.27 % (840986)CaDiCaL version: 2.1.3
% 3.58/1.27 % (840986)Termination reason: Refutation not found, incomplete strategy
% 3.58/1.27 % (840986)Time elapsed: 0.001 s
% 3.58/1.27 % (840986)Peak memory usage: 87 MB
% 3.58/1.27 % (840988)Also succeeded, but the first one will report.
% 3.58/1.27 % (840987)First to succeed.
% 3.58/1.27 % (840987)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-840977"
% 3.58/1.27 % (840985)------------------------------
% 3.58/1.27 % (840985)------------------------------
% 3.58/1.27 % (840996)lrs+10_1_sil=8000:sp=occurrence:random_seed=900491278:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.58/1.27 % (840996)Also succeeded, but the first one will report.
% 3.58/1.27 % (840987)Refutation found. Thanks to Tanya!
% 3.58/1.27 % SZS status Theorem for theBenchmark
% 3.58/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.27 % (840987)------------------------------
% 3.58/1.27 % (840987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.27 % (840987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.27 % (840987)CaDiCaL version: 2.1.3
% 3.58/1.27 % (840987)Termination reason: Refutation
% 3.58/1.27 % (840987)Time elapsed: 0.002 s
% 3.58/1.27 % (840987)Peak memory usage: 89 MB
% 3.58/1.27 % (840987)Instructions burned: 1 (million)
% 3.58/1.27 % (840987)------------------------------
% 3.58/1.27 % (840987)------------------------------
% 3.58/1.27 % (840977)Success in time 0.426 s
% 3.58/1.27 % Vampire exiting
%------------------------------------------------------------------------------