%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR067+4 : 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 : n017.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 09:42:33 AM UTC 2026
% Result : Theorem 6.66s 2.26s
% Output : Refutation 6.66s
% 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(f15084,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_15084) ).
fof(f43084,axiom,
! [X0,X1] :
( borderson(X0,X1)
=> borderson(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_43084) ).
fof(f44217,conjecture,
? [X0] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(X0,c_georegion_l4_x29_y75) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query217) ).
fof(f44218,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(X0,c_georegion_l4_x29_y75) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f44223,plain,
! [X0] :
( ~ borderson(X0,c_georegion_l4_x29_y75)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f44218]) ).
fof(f44226,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(ennf_transformation,[],[f43084]) ).
fof(f44229,plain,
( borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f15084]) ).
fof(f44237,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[],[f44223]) ).
fof(f44238,plain,
! [X0] : ~ borderson(X0,c_georegion_l4_x29_y75),
inference(cnf_transformation,[],[f44223]) ).
fof(f44243,plain,
! [X0,X1] :
( ~ borderson(X0,X1)
| borderson(X1,X0) ),
inference(cnf_transformation,[],[f44226]) ).
fof(f44246,plain,
( borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f44229]) ).
fof(f44254,definition,
( spl0_1
<=> mtvisible(c_tptpgeo_member7_mt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f44263,definition,
( spl0_3
<=> borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f44265,plain,
( borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f44263]) ).
fof(f44272,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f44246,f44263,f44254]) ).
fof(f44273,plain,
spl0_1,
inference(avatar_split_clause,[],[f44237,f44254]) ).
fof(f44282,plain,
( borderson(c_georegion_l4_x29_y76,c_georegion_l4_x29_y75)
| ~ spl0_3 ),
inference(resolution,[],[f44243,f44265]) ).
fof(f44286,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f44282,f44238]) ).
fof(f44287,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f44286]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f44272]) ).
cnf(s5,plain,
spl0_1,
inference(sat_conversion,[],[f44273]) ).
cnf(s7,plain,
~ spl0_3,
inference(sat_conversion,[],[f44287]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s4,s7,s5]) ).
fof(f44288,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR067+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n017.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 22:18:36 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.27 Running first-order theorem proving
% 0.09/0.27 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
% 6.66/2.26 % (4104072)Detected formulas, will run a generic FOF schedule.
% 6.66/2.26 % (4104083)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3433274736:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 6.66/2.26 % (4104083)Instruction limit reached!
% 6.66/2.26 % (4104083)------------------------------
% 6.66/2.26 % (4104083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/2.26 % (4104083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/2.26 % (4104083)CaDiCaL version: 2.1.3
% 6.66/2.26 % (4104083)Termination reason: Instruction limit
% 6.66/2.26 % (4104083)Termination phase: Saturation
% 6.66/2.26 % (4104083)Time elapsed: 0.060 s
% 6.66/2.26 % (4104083)Peak memory usage: 116 MB
% 6.66/2.26 % (4104083)Instructions burned: 121 (million)
% 6.66/2.26 % (4104080)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=2824964572:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 6.66/2.26 % (4104081)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=279717723:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 6.66/2.26 % (4104079)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=270463843:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 6.66/2.26 % (4104082)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4000553092:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 6.66/2.26 % (4104084)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4033342671:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 6.66/2.26 % (4104085)dis-21_1_sil=8000:lcm=predicate:random_seed=570639852:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 6.66/2.26 % (4104082)Instruction limit reached!
% 6.66/2.26 % (4104082)------------------------------
% 6.66/2.26 % (4104082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/2.26 % (4104082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/2.26 % (4104082)CaDiCaL version: 2.1.3
% 6.66/2.26 % (4104082)Termination reason: Instruction limit
% 6.66/2.26 % (4104082)Termination phase: Saturation
% 6.66/2.26 % (4104082)Time elapsed: 0.119 s
% 6.66/2.26 % (4104082)Peak memory usage: 116 MB
% 6.66/2.26 % (4104082)Instructions burned: 110 (million)
% 6.66/2.26 % (4104084)Instruction limit reached!
% 6.66/2.26 % (4104084)------------------------------
% 6.66/2.26 % (4104084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/2.26 % (4104084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/2.26 % (4104084)CaDiCaL version: 2.1.3
% 6.66/2.26 % (4104084)Termination reason: Instruction limit
% 6.66/2.26 % (4104084)Termination phase: Property scanning
% 6.66/2.26 % (4104084)Time elapsed: 0.112 s
% 6.66/2.26 % (4104084)Peak memory usage: 110 MB
% 6.66/2.26 % (4104084)Instructions burned: 140 (million)
% 6.66/2.26 % (4104085)Instruction limit reached!
% 6.66/2.26 % (4104085)------------------------------
% 6.66/2.26 % (4104085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/2.26 % (4104085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/2.26 % (4104085)CaDiCaL version: 2.1.3
% 6.66/2.26 % (4104085)Termination reason: Instruction limit
% 6.66/2.26 % (4104085)Termination phase: SInE selection
% 6.66/2.26 % (4104085)Time elapsed: 0.123 s
% 6.66/2.26 % (4104085)Peak memory usage: 111 MB
% 6.66/2.26 % (4104085)Instructions burned: 132 (million)
% 6.66/2.26 % (4104087)lrs+10_1_sil=8000:sp=occurrence:random_seed=2858767323:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 6.66/2.26 % (4104087)First to succeed.
% 6.66/2.26 % (4104087)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4104072"
% 6.66/2.26 % (4104094)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1359998761:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 6.66/2.26 % (4104095)lrs+1011_1_sil=32000:sp=occurrence:random_seed=895212476:i=325:sd=1:ss=axioms:sgt=32_2989 on theBenchmark for (2989ds/325Mi)
% 6.66/2.26 % (4104096)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2602485881:s2a=on:i=248:s2at=1.23:gtg=position_2989 on theBenchmark for (2989ds/248Mi)
% 6.66/2.26 % (4104087)Refutation found. Thanks to Tanya!
% 6.66/2.26 % SZS status Theorem for theBenchmark
% 6.66/2.26 % SZS output start Proof for theBenchmark
% See solution above
% 6.66/2.26 % (4104087)------------------------------
% 6.66/2.26 % (4104087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/2.26 % (4104087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/2.26 % (4104087)CaDiCaL version: 2.1.3
% 6.66/2.26 % (4104087)Termination reason: Refutation
% 6.66/2.26 % (4104087)Time elapsed: 0.081 s
% 6.66/2.26 % (4104087)Peak memory usage: 120 MB
% 6.66/2.26 % (4104087)Instructions burned: 112 (million)
% 6.66/2.26 % (4104087)------------------------------
% 6.66/2.26 % (4104087)------------------------------
% 6.66/2.26 % (4104072)Success in time 1.38 s
% 6.66/2.26 % Vampire exiting
%------------------------------------------------------------------------------