%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR059+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 09:42:26 AM UTC 2026
% Result : Theorem 2.29s 0.77s
% Output : Refutation 2.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 16 ~; 11 |; 2 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
fof(f2,axiom,
( mtvisible(c_tptpgeo_member5_mt)
=> borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just2) ).
fof(f29,axiom,
! [X0,X1] :
( borderson(X0,X1)
=> borderson(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).
fof(f31,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).
fof(f40,conjecture,
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query59) ).
fof(f41,negated_conjecture,
~ ( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f42,plain,
( ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47)
& mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(ennf_transformation,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f44,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(ennf_transformation,[],[f2]) ).
fof(f46,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f49,plain,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(cnf_transformation,[],[f42]) ).
fof(f50,plain,
~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
inference(cnf_transformation,[],[f42]) ).
fof(f51,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
inference(cnf_transformation,[],[f1]) ).
fof(f52,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f53,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(cnf_transformation,[],[f45]) ).
fof(f55,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f57,plain,
~ borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),
inference(resolution,[],[f55,f50]) ).
fof(f59,plain,
( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| mtvisible(c_tptpgeo_member5_mt) ),
inference(resolution,[],[f52,f51]) ).
fof(f60,plain,
mtvisible(c_tptpgeo_member5_mt),
inference(forward_subsumption_resolution,[],[f59,f49]) ).
fof(f62,plain,
~ mtvisible(c_tptpgeo_member5_mt),
inference(resolution,[],[f57,f53]) ).
fof(f64,plain,
$false,
inference(forward_subsumption_resolution,[],[f62,f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR059+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 22:20:49 UTC 2026
% 0.09/0.11 % CPUTime :
% 0.09/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.13 Running first-order theorem proving
% 0.09/0.13 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.29/0.77 % (3859052)Detected formulas, will run a generic FOF schedule.
% 2.29/0.77 % (3859071)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=938204178:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.29/0.77 % (3859066)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=3844544012:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.29/0.77 % (3859069)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4020047705:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.29/0.77 % (3859072)dis-21_1_sil=8000:lcm=predicate:random_seed=865862389: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)
% 2.29/0.77 % (3859068)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=1133014278:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.29/0.77 % (3859070)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4178682677:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.29/0.77 % (3859067)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=1035214104:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.29/0.77 % (3859069)Refutation not found, incomplete strategy
% 2.29/0.77 % (3859069)------------------------------
% 2.29/0.77 % (3859069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.29/0.77 % (3859069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.77 % (3859069)CaDiCaL version: 2.1.3
% 2.29/0.77 % (3859069)Termination reason: Refutation not found, incomplete strategy
% 2.29/0.77 % (3859069)Time elapsed: 0.0000 s
% 2.29/0.77 % (3859069)Peak memory usage: 87 MB
% 2.29/0.77 % (3859070)First to succeed.
% 2.29/0.77 % (3859070)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3859052"
% 2.29/0.77 % (3859071)Also succeeded, but the first one will report.
% 2.29/0.77 % (3859072)Also succeeded, but the first one will report.
% 2.29/0.77 % (3859070)Refutation found. Thanks to Tanya!
% 2.29/0.77 % SZS status Theorem for theBenchmark
% 2.29/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 2.29/0.77 % (3859070)------------------------------
% 2.29/0.77 % (3859070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.29/0.77 % (3859070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.77 % (3859070)CaDiCaL version: 2.1.3
% 2.29/0.77 % (3859070)Termination reason: Refutation
% 2.29/0.77 % (3859070)Time elapsed: 0.001 s
% 2.29/0.77 % (3859070)Peak memory usage: 88 MB
% 2.29/0.77 % (3859070)Instructions burned: 1 (million)
% 2.29/0.77 % (3859070)------------------------------
% 2.29/0.77 % (3859070)------------------------------
% 2.29/0.77 % (3859052)Success in time 0.297 s
% 2.29/0.77 % Vampire exiting
%------------------------------------------------------------------------------