%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR042+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 : n008.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 7.87s 3.02s
% Output : Refutation 7.87s
% 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(f25216,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_25216) ).
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_x27_y64) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query192) ).
fof(f44218,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(X0,c_georegion_l4_x27_y64) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f44223,plain,
! [X0] :
( ~ borderson(X0,c_georegion_l4_x27_y64)
& 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_x27_y64,c_georegion_l4_x27_y65)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f25216]) ).
fof(f44236,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[],[f44223]) ).
fof(f44237,plain,
! [X0] : ~ borderson(X0,c_georegion_l4_x27_y64),
inference(cnf_transformation,[],[f44223]) ).
fof(f44242,plain,
! [X0,X1] :
( ~ borderson(X0,X1)
| borderson(X1,X0) ),
inference(cnf_transformation,[],[f44226]) ).
fof(f44245,plain,
( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f44229]) ).
fof(f44252,definition,
( spl0_1
<=> mtvisible(c_tptpgeo_member7_mt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f44256,definition,
( spl0_2
<=> borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f44258,plain,
( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f44256]) ).
fof(f44265,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f44245,f44256,f44252]) ).
fof(f44266,plain,
spl0_1,
inference(avatar_split_clause,[],[f44236,f44252]) ).
fof(f44272,plain,
( borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64)
| ~ spl0_2 ),
inference(resolution,[],[f44242,f44258]) ).
fof(f44276,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f44272,f44237]) ).
fof(f44277,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f44276]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f44265]) ).
cnf(s4,plain,
spl0_1,
inference(sat_conversion,[],[f44266]) ).
cnf(s6,plain,
~ spl0_2,
inference(sat_conversion,[],[f44277]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s3,s6,s4]) ).
fof(f44278,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR042+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.24 % Computer : n008.cluster.edu
% 0.13/0.24 % Model : x86_64 x86_64
% 0.13/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.24 % Memory : 8046.5625MB
% 0.13/0.24 % OS : Linux 6.8.0-71-generic
% 0.13/0.24 % CPULimit : 300
% 0.13/0.24 % WCLimit : 300
% 0.13/0.24 % DateTime : Mon Sep 28 22:16:24 UTC 2026
% 0.13/0.24 % CPUTime :
% 0.13/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.29 Running first-order theorem proving
% 0.13/0.29 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
% 7.87/3.02 % (2718208)Detected formulas, will run a generic FOF schedule.
% 7.87/3.02 % (2718241)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=206680773:i=119:av=off:ss=axioms_2989 on theBenchmark for (2989ds/119Mi)
% 7.87/3.02 % (2718243)dis-21_1_sil=8000:lcm=predicate:random_seed=387747844:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2989 on theBenchmark for (2989ds/129Mi)
% 7.87/3.02 % (2718242)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3841798754:s2a=on:i=139:gtg=position_2989 on theBenchmark for (2989ds/139Mi)
% 7.87/3.02 % (2718240)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3763491041:i=109:sd=1:ins=1:gsp=on:ss=axioms_2989 on theBenchmark for (2989ds/109Mi)
% 7.87/3.02 % (2718237)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=3955665719:i=141193_2989 on theBenchmark for (2989ds/141193Mi)
% 7.87/3.02 % (2718239)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=2563955816:i=141695:sd=1:nm=32:gsp=on:ss=included_2989 on theBenchmark for (2989ds/141695Mi)
% 7.87/3.02 % (2718241)Instruction limit reached!
% 7.87/3.02 % (2718241)------------------------------
% 7.87/3.02 % (2718241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.87/3.02 % (2718241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/3.02 % (2718241)CaDiCaL version: 2.1.3
% 7.87/3.02 % (2718241)Termination reason: Instruction limit
% 7.87/3.02 % (2718241)Termination phase: Saturation
% 7.87/3.02 % (2718241)Time elapsed: 0.083 s
% 7.87/3.02 % (2718241)Peak memory usage: 116 MB
% 7.87/3.02 % (2718241)Instructions burned: 121 (million)
% 7.87/3.02 % (2718243)Instruction limit reached!
% 7.87/3.02 % (2718243)------------------------------
% 7.87/3.02 % (2718243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.87/3.02 % (2718243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/3.02 % (2718243)CaDiCaL version: 2.1.3
% 7.87/3.02 % (2718243)Termination reason: Instruction limit
% 7.87/3.02 % (2718243)Termination phase: SInE selection
% 7.87/3.02 % (2718243)Time elapsed: 0.125 s
% 7.87/3.02 % (2718243)Peak memory usage: 111 MB
% 7.87/3.02 % (2718243)Instructions burned: 129 (million)
% 7.87/3.02 % (2718238)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=3633210187:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2989 on theBenchmark for (2989ds/134677Mi)
% 7.87/3.02 % (2718242)Instruction limit reached!
% 7.87/3.02 % (2718242)------------------------------
% 7.87/3.02 % (2718242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.87/3.02 % (2718242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/3.02 % (2718242)CaDiCaL version: 2.1.3
% 7.87/3.02 % (2718242)Termination reason: Instruction limit
% 7.87/3.02 % (2718242)Termination phase: Property scanning
% 7.87/3.02 % (2718242)Time elapsed: 0.104 s
% 7.87/3.02 % (2718242)Peak memory usage: 110 MB
% 7.87/3.02 % (2718242)Instructions burned: 139 (million)
% 7.87/3.02 % (2718240)Instruction limit reached!
% 7.87/3.02 % (2718240)------------------------------
% 7.87/3.02 % (2718240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.87/3.02 % (2718240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/3.02 % (2718240)CaDiCaL version: 2.1.3
% 7.87/3.02 % (2718240)Termination reason: Instruction limit
% 7.87/3.02 % (2718240)Termination phase: Saturation
% 7.87/3.02 % (2718240)Time elapsed: 0.122 s
% 7.87/3.02 % (2718240)Peak memory usage: 116 MB
% 7.87/3.02 % (2718240)Instructions burned: 110 (million)
% 7.87/3.02 % (2718251)lrs+10_1_sil=8000:sp=occurrence:random_seed=2935904414:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 7.87/3.02 % (2718253)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1748630051:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/157Mi)
% 7.87/3.02 % (2718251)First to succeed.
% 7.87/3.02 % (2718251)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2718208"
% 7.87/3.02 % (2718254)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2749386176:i=325:sd=1:ss=axioms:sgt=32_2985 on theBenchmark for (2985ds/325Mi)
% 7.87/3.02 % (2718255)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=3443643047:s2a=on:i=248:s2at=1.23:gtg=position_2985 on theBenchmark for (2985ds/248Mi)
% 7.87/3.02 % (2718253)Instruction limit reached!
% 7.87/3.02 % (2718253)------------------------------
% 7.87/3.02 % (2718253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.87/3.02 % (2718253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/3.02 % (2718253)CaDiCaL version: 2.1.3
% 7.87/3.02 % (2718253)Termination reason: Instruction limit
% 7.87/3.02 % (2718253)Termination phase: Property scanning
% 7.87/3.02 % (2718253)Time elapsed: 0.142 s
% 7.87/3.02 % (2718253)Peak memory usage: 110 MB
% 7.87/3.02 % (2718253)Instructions burned: 158 (million)
% 7.87/3.02 % (2718254)Also succeeded, but the first one will report.
% 7.87/3.02 % (2718251)Refutation found. Thanks to Tanya!
% 7.87/3.02 % SZS status Theorem for theBenchmark
% 7.87/3.02 % SZS output start Proof for theBenchmark
% See solution above
% 7.87/3.02 % (2718251)------------------------------
% 7.87/3.02 % (2718251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.87/3.02 % (2718251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/3.02 % (2718251)CaDiCaL version: 2.1.3
% 7.87/3.02 % (2718251)Termination reason: Refutation
% 7.87/3.02 % (2718251)Time elapsed: 0.082 s
% 7.87/3.02 % (2718251)Peak memory usage: 120 MB
% 7.87/3.02 % (2718251)Instructions burned: 112 (million)
% 7.87/3.02 % (2718251)------------------------------
% 7.87/3.02 % (2718251)------------------------------
% 7.87/3.02 % (2718208)Success in time 1.934 s
% 7.87/3.02 % Vampire exiting
%------------------------------------------------------------------------------