%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR048+1 : 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 : n019.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 6.33s 2.10s
% Output : Refutation 6.33s
% 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(f1,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).
fof(f2,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).
fof(f31,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).
fof(f40,conjecture,
? [X0] :
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x45_y9,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query48) ).
fof(f41,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x45_y9,X0) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f56,plain,
( borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(ennf_transformation,[],[f2]) ).
fof(f73,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f74,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f73]) ).
fof(f83,plain,
! [X0] :
( ~ borderson(c_georegion_l4_x45_y9,X0)
& mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(ennf_transformation,[],[f41]) ).
fof(f84,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
inference(cnf_transformation,[],[f1]) ).
fof(f85,plain,
( borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(cnf_transformation,[],[f56]) ).
fof(f100,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f109,plain,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(cnf_transformation,[],[f83]) ).
fof(f110,plain,
! [X0] : ~ borderson(c_georegion_l4_x45_y9,X0),
inference(cnf_transformation,[],[f83]) ).
fof(f112,definition,
( spl0_1
<=> mtvisible(c_tptpgeo_member1_mt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f113,plain,
( ~ mtvisible(c_tptpgeo_member1_mt)
| spl0_1 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,definition,
( spl0_2
<=> borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f116,plain,
( borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f117,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f85,f115,f112]) ).
fof(f125,plain,
( ! [X0] :
( ~ mtvisible(X0)
| ~ genlmt(X0,c_tptpgeo_member1_mt) )
| spl0_1 ),
inference(resolution,[],[f100,f113]) ).
fof(f127,plain,
( ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt)
| spl0_1 ),
inference(resolution,[],[f125,f109]) ).
fof(f130,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f127,f84]) ).
fof(f131,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f130]) ).
fof(f132,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f116,f110]) ).
fof(f133,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f132]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f117]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f131]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f133]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f134,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR048+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.31 % Computer : n019.cluster.edu
% 0.28/0.31 % Model : x86_64 x86_64
% 0.28/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.28/0.31 % Memory : 8046.5625MB
% 0.28/0.31 % OS : Linux 6.8.0-71-generic
% 0.28/0.31 % CPULimit : 300
% 0.28/0.31 % WCLimit : 300
% 0.28/0.31 % DateTime : Mon Sep 28 22:17:18 UTC 2026
% 0.28/0.32 % CPUTime :
% 0.28/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.37 Running first-order theorem proving
% 0.28/0.38 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
% 6.33/2.10 % (337145)Detected formulas, will run a generic FOF schedule.
% 6.33/2.10 % (337154)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4207634771:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.33/2.10 % (337154)Instruction limit reached!
% 6.33/2.10 % (337154)------------------------------
% 6.33/2.10 % (337154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/2.10 % (337154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/2.10 % (337154)CaDiCaL version: 2.1.3
% 6.33/2.10 % (337154)Termination reason: Instruction limit
% 6.33/2.10 % (337154)Termination phase: Saturation
% 6.33/2.10 % (337154)Time elapsed: 0.038 s
% 6.33/2.10 % (337154)Peak memory usage: 87 MB
% 6.33/2.10 % (337154)Instructions burned: 122 (million)
% 6.33/2.10 % (337150)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=1251169067:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.33/2.10 % (337151)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=4268758902:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.33/2.10 % (337152)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=191317156:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.33/2.10 % (337153)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2676330955:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.33/2.10 % (337153)Refutation not found, incomplete strategy
% 6.33/2.10 % (337153)------------------------------
% 6.33/2.10 % (337153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/2.10 % (337153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/2.10 % (337153)CaDiCaL version: 2.1.3
% 6.33/2.10 % (337153)Termination reason: Refutation not found, incomplete strategy
% 6.33/2.10 % (337153)Time elapsed: 0.001 s
% 6.33/2.10 % (337153)Peak memory usage: 87 MB
% 6.33/2.10 % (337155)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2489145586:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.33/2.10 % (337156)dis-21_1_sil=8000:lcm=predicate:random_seed=685849072: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)
% 6.33/2.10 % (337155)Also succeeded, but the first one will report.
% 6.33/2.10 % (337156)First to succeed.
% 6.33/2.10 % (337156)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-337145"
% 6.33/2.10 % (337158)lrs+10_1_sil=8000:sp=occurrence:random_seed=3676629128:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.33/2.10 % (337158)Also succeeded, but the first one will report.
% 6.33/2.10 % (337153)------------------------------
% 6.33/2.10 % (337153)------------------------------
% 6.33/2.10 % (337156)Refutation found. Thanks to Tanya!
% 6.33/2.10 % SZS status Theorem for theBenchmark
% 6.33/2.10 % SZS output start Proof for theBenchmark
% See solution above
% 6.33/2.10 % (337156)------------------------------
% 6.33/2.10 % (337156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/2.10 % (337156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/2.10 % (337156)CaDiCaL version: 2.1.3
% 6.33/2.10 % (337156)Termination reason: Refutation
% 6.33/2.10 % (337156)Time elapsed: 0.004 s
% 6.33/2.10 % (337156)Peak memory usage: 89 MB
% 6.33/2.10 % (337156)Instructions burned: 1 (million)
% 6.33/2.10 % (337156)------------------------------
% 6.33/2.10 % (337156)------------------------------
% 6.33/2.10 % (337145)Success in time 0.751 s
% 6.33/2.10 % Vampire exiting
%------------------------------------------------------------------------------