%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR047+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 : n011.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 4.06s 1.38s
% Output : Refutation 4.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 4 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f383,axiom,
( mtvisible(c_tptpgeo_member4_mt)
=> borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_383) ).
fof(f900,axiom,
! [X0,X1] :
( borderson(X0,X1)
=> borderson(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_900) ).
fof(f1132,conjecture,
( mtvisible(c_tptpgeo_member4_mt)
=> borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query97) ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member4_mt)
=> borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1134,plain,
( ~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50)
& mtvisible(c_tptpgeo_member4_mt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f1137,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(ennf_transformation,[],[f900]) ).
fof(f1138,plain,
( borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
| ~ mtvisible(c_tptpgeo_member4_mt) ),
inference(ennf_transformation,[],[f383]) ).
fof(f1141,plain,
mtvisible(c_tptpgeo_member4_mt),
inference(cnf_transformation,[],[f1134]) ).
fof(f1142,plain,
~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50),
inference(cnf_transformation,[],[f1134]) ).
fof(f1145,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(cnf_transformation,[],[f1137]) ).
fof(f1146,plain,
( borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
| ~ mtvisible(c_tptpgeo_member4_mt) ),
inference(cnf_transformation,[],[f1138]) ).
fof(f1148,plain,
borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50),
inference(forward_subsumption_resolution,[],[f1146,f1141]) ).
fof(f1149,plain,
~ borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50),
inference(resolution,[],[f1145,f1142]) ).
fof(f1151,plain,
$false,
inference(forward_subsumption_resolution,[],[f1149,f1148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR047+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n011.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 22:16:46 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 4.06/1.38 % (3843408)Detected formulas, will run a generic FOF schedule.
% 4.06/1.38 % (3843416)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2968376062:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.06/1.38 % (3843416)Refutation not found, incomplete strategy
% 4.06/1.38 % (3843416)------------------------------
% 4.06/1.38 % (3843416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.38 % (3843416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.38 % (3843416)CaDiCaL version: 2.1.3
% 4.06/1.38 % (3843416)Termination reason: Refutation not found, incomplete strategy
% 4.06/1.38 % (3843416)Time elapsed: 0.002 s
% 4.06/1.38 % (3843416)Peak memory usage: 88 MB
% 4.06/1.38 % (3843416)Instructions burned: 3 (million)
% 4.06/1.38 % (3843417)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=940195869:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.06/1.38 % (3843413)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=3749798131:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.06/1.38 % (3843419)dis-21_1_sil=8000:lcm=predicate:random_seed=2084806869: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)
% 4.06/1.38 % (3843414)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=3660752538:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.06/1.38 % (3843415)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=2646762422:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.06/1.38 % (3843417)First to succeed.
% 4.06/1.38 % (3843417)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3843408"
% 4.06/1.38 % (3843419)Also succeeded, but the first one will report.
% 4.06/1.38 % (3843418)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2128815546:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.06/1.38 % (3843418)Also succeeded, but the first one will report.
% 4.06/1.38 % (3843416)------------------------------
% 4.06/1.38 % (3843416)------------------------------
% 4.06/1.38 % (3843427)lrs+10_1_sil=8000:sp=occurrence:random_seed=560623072:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 4.06/1.38 % (3843427)Also succeeded, but the first one will report.
% 4.06/1.38 % (3843417)Refutation found. Thanks to Tanya!
% 4.06/1.38 % SZS status Theorem for theBenchmark
% 4.06/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 4.06/1.38 % (3843417)------------------------------
% 4.06/1.38 % (3843417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.38 % (3843417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.38 % (3843417)CaDiCaL version: 2.1.3
% 4.06/1.38 % (3843417)Termination reason: Refutation
% 4.06/1.38 % (3843417)Time elapsed: 0.003 s
% 4.06/1.38 % (3843417)Peak memory usage: 89 MB
% 4.06/1.38 % (3843417)Instructions burned: 3 (million)
% 4.06/1.38 % (3843417)------------------------------
% 4.06/1.38 % (3843417)------------------------------
% 4.06/1.38 % (3843408)Success in time 0.499 s
% 4.06/1.38 % Vampire exiting
%------------------------------------------------------------------------------