%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR071+3 : 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 : 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 09:42:36 AM UTC 2026
% Result : Theorem 0.28s 1.91s
% Output : Refutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 25 ~; 19 |; 3 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f341,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member1672_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_341) ).
fof(f1988,axiom,
( mtvisible(c_tptp_member1672_mt)
=> navypersonnel(c_tptpnavypersonnel_3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_1988) ).
fof(f2991,axiom,
! [X0] :
( navypersonnel(X0)
=> militaryperson(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_2991) ).
fof(f3032,axiom,
! [X0] :
( ( mtvisible(c_tptp_member698_mt)
& militaryperson(X0) )
=> tptpofobject(X0,f_tptpquantityfn_6(n_414)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_3032) ).
fof(f3229,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member698_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_3229) ).
fof(f7997,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_7997) ).
fof(f8006,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query171) ).
fof(f8007,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414)) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8023,plain,
( ~ tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414))
& mtvisible(c_tptp_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(f8027,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_6(n_414))
| ~ mtvisible(c_tptp_member698_mt)
| ~ militaryperson(X0) ),
inference(ennf_transformation,[],[f3032]) ).
fof(f8028,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_6(n_414))
| ~ mtvisible(c_tptp_member698_mt)
| ~ militaryperson(X0) ),
inference(flattening,[],[f8027]) ).
fof(f8032,plain,
( navypersonnel(c_tptpnavypersonnel_3)
| ~ mtvisible(c_tptp_member1672_mt) ),
inference(ennf_transformation,[],[f1988]) ).
fof(f8039,plain,
! [X0] :
( militaryperson(X0)
| ~ navypersonnel(X0) ),
inference(ennf_transformation,[],[f2991]) ).
fof(f8062,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f8023]) ).
fof(f8063,plain,
~ tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414)),
inference(cnf_transformation,[],[f8023]) ).
fof(f8064,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f8025]) ).
fof(f8066,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_6(n_414))
| ~ mtvisible(c_tptp_member698_mt)
| ~ militaryperson(X0) ),
inference(cnf_transformation,[],[f8028]) ).
fof(f8070,plain,
( navypersonnel(c_tptpnavypersonnel_3)
| ~ mtvisible(c_tptp_member1672_mt) ),
inference(cnf_transformation,[],[f8032]) ).
fof(f8074,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member698_mt),
inference(cnf_transformation,[],[f3229]) ).
fof(f8078,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member1672_mt),
inference(cnf_transformation,[],[f341]) ).
fof(f8080,plain,
! [X0] :
( militaryperson(X0)
| ~ navypersonnel(X0) ),
inference(cnf_transformation,[],[f8039]) ).
fof(f8106,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member698_mt) ),
inference(resolution,[],[f8064,f8074]) ).
fof(f8107,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member1672_mt) ),
inference(resolution,[],[f8064,f8078]) ).
fof(f8108,plain,
mtvisible(c_tptp_member1672_mt),
inference(forward_subsumption_resolution,[],[f8107,f8062]) ).
fof(f8109,plain,
mtvisible(c_tptp_member698_mt),
inference(forward_subsumption_resolution,[],[f8106,f8062]) ).
fof(f8113,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_6(n_414))
| ~ militaryperson(X0) ),
inference(forward_subsumption_resolution,[],[f8066,f8109]) ).
fof(f8115,plain,
~ militaryperson(c_tptpnavypersonnel_3),
inference(resolution,[],[f8113,f8063]) ).
fof(f8116,plain,
~ navypersonnel(c_tptpnavypersonnel_3),
inference(resolution,[],[f8115,f8080]) ).
fof(f8118,plain,
~ mtvisible(c_tptp_member1672_mt),
inference(resolution,[],[f8116,f8070]) ).
fof(f8119,plain,
$false,
inference(forward_subsumption_resolution,[],[f8118,f8108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR071+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.27 % Computer : n008.cluster.edu
% 0.10/0.27 % Model : x86_64 x86_64
% 0.10/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.27 % Memory : 8046.5625MB
% 0.10/0.27 % OS : Linux 6.8.0-71-generic
% 0.10/0.27 % CPULimit : 300
% 0.10/0.27 % WCLimit : 300
% 0.10/0.27 % DateTime : Mon Sep 28 22:25:24 UTC 2026
% 0.25/0.27 % CPUTime :
% 0.25/0.27 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.32 Running first-order theorem proving
% 0.25/0.32 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
% 0.28/1.91 % (2729392)Detected formulas, will run a generic FOF schedule.
% 0.28/1.91 % (2729402)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3203916994:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 0.28/1.91 % (2729399)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=3331377281:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 0.28/1.91 % (2729397)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=1281527165:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 0.28/1.91 % (2729400)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1412068753:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 0.28/1.91 % (2729398)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=2774216801:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 0.28/1.91 % (2729400)Refutation not found, incomplete strategy
% 0.28/1.91 % (2729400)------------------------------
% 0.28/1.91 % (2729400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/1.91 % (2729400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/1.91 % (2729400)CaDiCaL version: 2.1.3
% 0.28/1.91 % (2729400)Termination reason: Refutation not found, incomplete strategy
% 0.28/1.91 % (2729400)Time elapsed: 0.025 s
% 0.28/1.91 % (2729400)Peak memory usage: 93 MB
% 0.28/1.91 % (2729400)Instructions burned: 24 (million)
% 0.28/1.91 % (2729402)Instruction limit reached!
% 0.28/1.91 % (2729402)------------------------------
% 0.28/1.91 % (2729402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/1.91 % (2729402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/1.91 % (2729402)CaDiCaL version: 2.1.3
% 0.28/1.91 % (2729402)Termination reason: Instruction limit
% 0.28/1.91 % (2729402)Termination phase: Property scanning
% 0.28/1.91 % (2729402)Time elapsed: 0.082 s
% 0.28/1.91 % (2729402)Peak memory usage: 93 MB
% 0.28/1.91 % (2729402)Instructions burned: 141 (million)
% 0.28/1.91 % (2729401)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3700560440:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 0.28/1.91 % (2729403)dis-21_1_sil=8000:lcm=predicate:random_seed=3915530013: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)
% 0.28/1.91 % (2729401)First to succeed.
% 0.28/1.91 % (2729401)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2729392"
% 0.28/1.91 % (2729403)Also succeeded, but the first one will report.
% 0.28/1.91 % (2729411)lrs+10_1_sil=8000:sp=occurrence:random_seed=1554699442:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 0.28/1.91 % (2729411)Also succeeded, but the first one will report.
% 0.28/1.91 % (2729400)------------------------------
% 0.28/1.91 % (2729400)------------------------------
% 0.28/1.91 % (2729401)Refutation found. Thanks to Tanya!
% 0.28/1.91 % SZS status Theorem for theBenchmark
% 0.28/1.91 % SZS output start Proof for theBenchmark
% See solution above
% 0.28/1.91 % (2729401)------------------------------
% 0.28/1.91 % (2729401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/1.91 % (2729401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/1.91 % (2729401)CaDiCaL version: 2.1.3
% 0.28/1.91 % (2729401)Termination reason: Refutation
% 0.28/1.91 % (2729401)Time elapsed: 0.029 s
% 0.28/1.91 % (2729401)Peak memory usage: 94 MB
% 0.28/1.91 % (2729401)Instructions burned: 26 (million)
% 0.28/1.91 % (2729401)------------------------------
% 0.28/1.91 % (2729401)------------------------------
% 0.28/1.91 % (2729392)Success in time 0.881 s
% 0.28/1.91 % Vampire exiting
%------------------------------------------------------------------------------