%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR048+3 : 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 : n001.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 09:42:18 AM UTC 2026
% Result : Theorem 0.28s 1.90s
% Output : Refutation 0.28s
% 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(f2078,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2078) ).
fof(f2947,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2947) ).
fof(f7997,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7997) ).
fof(f8006,conjecture,
? [X0] :
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x45_y9,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query148) ).
fof(f8007,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x45_y9,X0) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8023,plain,
! [X0] :
( ~ borderson(c_georegion_l4_x45_y9,X0)
& mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f8024,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f7997]) ).
fof(f8025,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f8024]) ).
fof(f8030,plain,
( borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(ennf_transformation,[],[f2078]) ).
fof(f8078,plain,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(cnf_transformation,[],[f8023]) ).
fof(f8079,plain,
! [X0] : ~ borderson(c_georegion_l4_x45_y9,X0),
inference(cnf_transformation,[],[f8023]) ).
fof(f8080,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f8025]) ).
fof(f8090,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
inference(cnf_transformation,[],[f2947]) ).
fof(f8100,plain,
( borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(cnf_transformation,[],[f8030]) ).
fof(f8225,definition,
( spl0_13
<=> mtvisible(c_tptpgeo_member1_mt) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f8226,plain,
( ~ mtvisible(c_tptpgeo_member1_mt)
| spl0_13 ),
inference(avatar_component_clause,[],[f8225]) ).
fof(f8280,definition,
( spl0_26
<=> borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f8281,plain,
( borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f8280]) ).
fof(f8283,plain,
( ~ spl0_13
| spl0_26 ),
inference(avatar_split_clause,[],[f8100,f8280,f8225]) ).
fof(f8304,plain,
( ! [X0] :
( ~ mtvisible(X0)
| ~ genlmt(X0,c_tptpgeo_member1_mt) )
| spl0_13 ),
inference(resolution,[],[f8080,f8226]) ).
fof(f8322,plain,
( ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt)
| spl0_13 ),
inference(resolution,[],[f8304,f8078]) ).
fof(f8325,plain,
( $false
| spl0_13 ),
inference(resolution,[],[f8322,f8090]) ).
fof(f8326,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f8325]) ).
fof(f8327,plain,
( $false
| ~ spl0_26 ),
inference(resolution,[],[f8281,f8079]) ).
fof(f8328,plain,
~ spl0_26,
inference(avatar_contradiction_clause,[],[f8327]) ).
cnf(s28,plain,
( ~ spl0_13
| spl0_26 ),
inference(sat_conversion,[],[f8283]) ).
cnf(s32,plain,
spl0_13,
inference(sat_conversion,[],[f8326]) ).
cnf(s33,plain,
~ spl0_26,
inference(sat_conversion,[],[f8328]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s28,s33,s32]) ).
fof(f8329,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR048+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.25 % Computer : n001.cluster.edu
% 0.12/0.25 % Model : x86_64 x86_64
% 0.12/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.25 % Memory : 8046.5625MB
% 0.12/0.25 % OS : Linux 6.8.0-71-generic
% 0.12/0.25 % CPULimit : 300
% 0.12/0.25 % WCLimit : 300
% 0.12/0.25 % DateTime : Mon Sep 28 22:23:04 UTC 2026
% 0.12/0.26 % CPUTime :
% 0.12/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.31 Running first-order theorem proving
% 0.25/0.31 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
% 0.28/1.90 % (813556)Detected formulas, will run a generic FOF schedule.
% 0.28/1.90 % (813571)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2262938381:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 0.28/1.90 % (813573)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=530488621:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 0.28/1.90 % (813569)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=2245196769:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 0.28/1.90 % (813572)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2997657792:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 0.28/1.90 % (813574)dis-21_1_sil=8000:lcm=predicate:random_seed=2097758940:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 0.28/1.90 % (813570)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=3943327273:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 0.28/1.90 % (813568)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=2210224290:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 0.28/1.90 % (813571)Refutation not found, incomplete strategy
% 0.28/1.90 % (813571)------------------------------
% 0.28/1.90 % (813571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/1.90 % (813571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/1.90 % (813571)CaDiCaL version: 2.1.3
% 0.28/1.90 % (813571)Termination reason: Refutation not found, incomplete strategy
% 0.28/1.90 % (813571)Time elapsed: 0.019 s
% 0.28/1.90 % (813571)Peak memory usage: 93 MB
% 0.28/1.90 % (813571)Instructions burned: 24 (million)
% 0.28/1.90 % (813574)First to succeed.
% 0.28/1.90 % (813574)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-813556"
% 0.28/1.90 % (813572)Instruction limit reached!
% 0.28/1.90 % (813572)------------------------------
% 0.28/1.90 % (813572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/1.90 % (813572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/1.90 % (813572)CaDiCaL version: 2.1.3
% 0.28/1.90 % (813572)Termination reason: Instruction limit
% 0.28/1.90 % (813572)Termination phase: Saturation
% 0.28/1.90 % (813572)Time elapsed: 0.087 s
% 0.28/1.90 % (813572)Peak memory usage: 93 MB
% 0.28/1.90 % (813572)Instructions burned: 120 (million)
% 0.28/1.90 % (813573)Instruction limit reached!
% 0.28/1.90 % (813573)------------------------------
% 0.28/1.90 % (813573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/1.90 % (813573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/1.90 % (813573)CaDiCaL version: 2.1.3
% 0.28/1.90 % (813573)Termination reason: Instruction limit
% 0.28/1.90 % (813573)Termination phase: Property scanning
% 0.28/1.90 % (813573)Time elapsed: 0.129 s
% 0.28/1.90 % (813573)Peak memory usage: 93 MB
% 0.28/1.90 % (813573)Instructions burned: 140 (million)
% 0.28/1.90 % (813571)------------------------------
% 0.28/1.90 % (813571)------------------------------
% 0.28/1.90 % (813584)lrs+10_1_sil=8000:sp=occurrence:random_seed=2614206100:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 0.28/1.90 % (813584)Also succeeded, but the first one will report.
% 0.28/1.90 % (813585)lrs+10_1_sil=32000:urr=on:br=off:random_seed=253030526:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 0.28/1.90 % (813574)Refutation found. Thanks to Tanya!
% 0.28/1.90 % SZS status Theorem for theBenchmark
% 0.28/1.90 % SZS output start Proof for theBenchmark
% See solution above
% 0.28/1.90 % (813574)------------------------------
% 0.28/1.90 % (813574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/1.90 % (813574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/1.90 % (813574)CaDiCaL version: 2.1.3
% 0.28/1.90 % (813574)Termination reason: Refutation
% 0.28/1.90 % (813574)Time elapsed: 0.037 s
% 0.28/1.90 % (813574)Peak memory usage: 95 MB
% 0.28/1.90 % (813574)Instructions burned: 36 (million)
% 0.28/1.90 % (813574)------------------------------
% 0.28/1.90 % (813574)------------------------------
% 0.28/1.90 % (813556)Success in time 0.844 s
% 0.28/1.90 % Vampire exiting
%------------------------------------------------------------------------------