%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR048+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 09:42:17 AM UTC 2026
% Result : Theorem 0.34s 2.21s
% Output : Refutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 10 unt; 2 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 21 ~; 17 |; 2 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 11 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f140,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_140) ).
fof(f207,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_207) ).
fof(f1123,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1123) ).
fof(f1132,conjecture,
? [X0] :
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x45_y9,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query98) ).
fof(f1133,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x45_y9,X0) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1139,plain,
! [X0] :
( ~ borderson(c_georegion_l4_x45_y9,X0)
& mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f1140,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f1123]) ).
fof(f1141,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f1140]) ).
fof(f1145,plain,
( borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(ennf_transformation,[],[f207]) ).
fof(f1177,plain,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(cnf_transformation,[],[f1139]) ).
fof(f1178,plain,
! [X0] : ~ borderson(c_georegion_l4_x45_y9,X0),
inference(cnf_transformation,[],[f1139]) ).
fof(f1179,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f1141]) ).
fof(f1187,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
inference(cnf_transformation,[],[f140]) ).
fof(f1188,plain,
( borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(cnf_transformation,[],[f1145]) ).
fof(f1230,definition,
( spl0_3
<=> mtvisible(c_tptpgeo_member1_mt) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1231,plain,
( ~ mtvisible(c_tptpgeo_member1_mt)
| spl0_3 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f1267,definition,
( spl0_13
<=> borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f1268,plain,
( borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f1269,plain,
( ~ spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f1188,f1267,f1230]) ).
fof(f1287,plain,
( ! [X0] :
( ~ mtvisible(X0)
| ~ genlmt(X0,c_tptpgeo_member1_mt) )
| spl0_3 ),
inference(resolution,[],[f1179,f1231]) ).
fof(f1298,plain,
( ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt)
| spl0_3 ),
inference(resolution,[],[f1287,f1177]) ).
fof(f1300,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f1298,f1187]) ).
fof(f1301,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f1300]) ).
fof(f1302,plain,
( $false
| ~ spl0_13 ),
inference(resolution,[],[f1268,f1178]) ).
fof(f1303,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f1302]) ).
cnf(s9,plain,
( ~ spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f1269]) ).
cnf(s12,plain,
spl0_3,
inference(sat_conversion,[],[f1301]) ).
cnf(s13,plain,
~ spl0_13,
inference(sat_conversion,[],[f1303]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s9,s13,s12]) ).
fof(f1304,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR048+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.31 % Computer : n014.cluster.edu
% 0.27/0.31 % Model : x86_64 x86_64
% 0.27/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.27/0.31 % Memory : 8046.5625MB
% 0.27/0.31 % OS : Linux 6.8.0-71-generic
% 0.27/0.31 % CPULimit : 300
% 0.27/0.31 % WCLimit : 300
% 0.27/0.31 % DateTime : Mon Sep 28 22:17:00 UTC 2026
% 0.27/0.32 % CPUTime :
% 0.27/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.36 Running first-order theorem proving
% 0.27/0.36 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/2.21 % (2245107)Detected formulas, will run a generic FOF schedule.
% 0.34/2.21 % (2245113)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=1793708703:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.34/2.21 % (2245112)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=4216707276:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.34/2.21 % (2245115)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2741402650:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.34/2.21 % (2245114)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=1997225795:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.34/2.21 % (2245115)Refutation not found, incomplete strategy
% 0.34/2.21 % (2245115)------------------------------
% 0.34/2.21 % (2245115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.34/2.21 % (2245115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/2.21 % (2245115)CaDiCaL version: 2.1.3
% 0.34/2.21 % (2245115)Termination reason: Refutation not found, incomplete strategy
% 0.34/2.21 % (2245115)Time elapsed: 0.004 s
% 0.34/2.21 % (2245115)Peak memory usage: 88 MB
% 0.34/2.21 % (2245115)Instructions burned: 3 (million)
% 0.34/2.21 % (2245117)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2089689107:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.34/2.21 % (2245116)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=921913312:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.34/2.21 % (2245118)dis-21_1_sil=8000:lcm=predicate:random_seed=4067574425: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)
% 0.34/2.21 % (2245118)First to succeed.
% 0.34/2.21 % (2245118)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2245107"
% 0.34/2.21 % (2245117)Also succeeded, but the first one will report.
% 0.34/2.21 % (2245116)Instruction limit reached!
% 0.34/2.21 % (2245116)------------------------------
% 0.34/2.21 % (2245116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.34/2.21 % (2245116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/2.21 % (2245116)CaDiCaL version: 2.1.3
% 0.34/2.21 % (2245116)Termination reason: Instruction limit
% 0.34/2.21 % (2245116)Termination phase: Saturation
% 0.34/2.21 % (2245116)Time elapsed: 0.074 s
% 0.34/2.21 % (2245116)Peak memory usage: 88 MB
% 0.34/2.21 % (2245116)Instructions burned: 119 (million)
% 0.34/2.21 % (2245126)lrs+10_1_sil=8000:sp=occurrence:random_seed=2137101769:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 0.34/2.21 % (2245126)Also succeeded, but the first one will report.
% 0.34/2.21 % (2245115)------------------------------
% 0.34/2.21 % (2245115)------------------------------
% 0.34/2.21 % (2245118)Refutation found. Thanks to Tanya!
% 0.34/2.21 % SZS status Theorem for theBenchmark
% 0.34/2.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.34/2.21 % (2245118)------------------------------
% 0.34/2.21 % (2245118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.34/2.21 % (2245118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/2.21 % (2245118)CaDiCaL version: 2.1.3
% 0.34/2.21 % (2245118)Termination reason: Refutation
% 0.34/2.21 % (2245118)Time elapsed: 0.009 s
% 0.34/2.21 % (2245118)Peak memory usage: 90 MB
% 0.34/2.21 % (2245118)Instructions burned: 7 (million)
% 0.34/2.21 % (2245118)------------------------------
% 0.34/2.21 % (2245118)------------------------------
% 0.34/2.21 % (2245107)Success in time 0.768 s
% 0.34/2.21 % Vampire exiting
%------------------------------------------------------------------------------