%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR071+4 : 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 : n016.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 5.05s 2.27s
% Output : Refutation 5.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 54 ( 16 unt; 4 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 90 ( 41 ~; 36 |; 3 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 17 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f303,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member1672_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_303) ).
fof(f1540,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member698_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_1540) ).
fof(f7762,axiom,
( mtvisible(c_tptp_member1672_mt)
=> navypersonnel(c_tptpnavypersonnel_3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_7762) ).
fof(f14292,axiom,
! [X0] :
( navypersonnel(X0)
=> militaryperson(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_14292) ).
fof(f16969,axiom,
! [X0] :
( ( mtvisible(c_tptp_member698_mt)
& militaryperson(X0) )
=> tptpofobject(X0,f_tptpquantityfn_6(n_414)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_16969) ).
fof(f44208,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_44208) ).
fof(f44217,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query221) ).
fof(f44218,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414)) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f44241,plain,
( ~ tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414))
& mtvisible(c_tptp_spindlecollectormt) ),
inference(ennf_transformation,[],[f44218]) ).
fof(f44242,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f44208]) ).
fof(f44243,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f44242]) ).
fof(f44244,plain,
( navypersonnel(c_tptpnavypersonnel_3)
| ~ mtvisible(c_tptp_member1672_mt) ),
inference(ennf_transformation,[],[f7762]) ).
fof(f44247,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_6(n_414))
| ~ mtvisible(c_tptp_member698_mt)
| ~ militaryperson(X0) ),
inference(ennf_transformation,[],[f16969]) ).
fof(f44248,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_6(n_414))
| ~ mtvisible(c_tptp_member698_mt)
| ~ militaryperson(X0) ),
inference(flattening,[],[f44247]) ).
fof(f44258,plain,
! [X0] :
( militaryperson(X0)
| ~ navypersonnel(X0) ),
inference(ennf_transformation,[],[f14292]) ).
fof(f44278,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f44241]) ).
fof(f44279,plain,
~ tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414)),
inference(cnf_transformation,[],[f44241]) ).
fof(f44280,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f44243]) ).
fof(f44284,plain,
( navypersonnel(c_tptpnavypersonnel_3)
| ~ mtvisible(c_tptp_member1672_mt) ),
inference(cnf_transformation,[],[f44244]) ).
fof(f44287,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_6(n_414))
| ~ mtvisible(c_tptp_member698_mt)
| ~ militaryperson(X0) ),
inference(cnf_transformation,[],[f44248]) ).
fof(f44295,plain,
! [X0] :
( ~ navypersonnel(X0)
| militaryperson(X0) ),
inference(cnf_transformation,[],[f44258]) ).
fof(f44299,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member1672_mt),
inference(cnf_transformation,[],[f303]) ).
fof(f44303,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member698_mt),
inference(cnf_transformation,[],[f1540]) ).
fof(f44340,definition,
( spl0_3
<=> mtvisible(c_tptp_member698_mt) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f44342,plain,
( ~ mtvisible(c_tptp_member698_mt)
| spl0_3 ),
inference(avatar_component_clause,[],[f44340]) ).
fof(f44344,definition,
( spl0_4
<=> ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_6(n_414))
| ~ militaryperson(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f44345,plain,
( ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_6(n_414))
| ~ militaryperson(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f44344]) ).
fof(f44352,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f44287,f44344,f44340]) ).
fof(f44355,definition,
( spl0_6
<=> mtvisible(c_tptp_member1672_mt) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f44357,plain,
( ~ mtvisible(c_tptp_member1672_mt)
| spl0_6 ),
inference(avatar_component_clause,[],[f44355]) ).
fof(f44359,definition,
( spl0_7
<=> navypersonnel(c_tptpnavypersonnel_3) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f44361,plain,
( navypersonnel(c_tptpnavypersonnel_3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f44359]) ).
fof(f44363,plain,
( ~ spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f44284,f44359,f44355]) ).
fof(f44399,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member1672_mt) ),
inference(resolution,[],[f44280,f44299]) ).
fof(f44400,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member698_mt) ),
inference(resolution,[],[f44280,f44303]) ).
fof(f44401,plain,
mtvisible(c_tptp_member698_mt),
inference(forward_subsumption_resolution,[],[f44400,f44278]) ).
fof(f44402,plain,
mtvisible(c_tptp_member1672_mt),
inference(forward_subsumption_resolution,[],[f44399,f44278]) ).
fof(f44403,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f44401,f44342]) ).
fof(f44404,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f44403]) ).
fof(f44405,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f44402,f44357]) ).
fof(f44406,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f44405]) ).
fof(f44409,plain,
( militaryperson(c_tptpnavypersonnel_3)
| ~ spl0_7 ),
inference(resolution,[],[f44361,f44295]) ).
fof(f44412,plain,
( ~ militaryperson(c_tptpnavypersonnel_3)
| ~ spl0_4 ),
inference(resolution,[],[f44345,f44279]) ).
fof(f44413,plain,
( $false
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f44412,f44409]) ).
fof(f44414,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f44413]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f44352]) ).
cnf(s7,plain,
( ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f44363]) ).
cnf(s11,plain,
spl0_3,
inference(sat_conversion,[],[f44404]) ).
cnf(s12,plain,
spl0_6,
inference(sat_conversion,[],[f44406]) ).
cnf(s14,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(sat_conversion,[],[f44414]) ).
cnf(s15,plain,
spl0_7,
inference(rat,[],[s7,s12]) ).
cnf(s16,plain,
~ spl0_4,
inference(rat,[],[s14,s15]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s4,s16,s11]) ).
fof(f44415,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR071+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n016.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 22:29:49 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 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
% 4.62/2.06 % (4110674)Detected formulas, will run a generic FOF schedule.
% 4.62/2.06 % (4110730)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=912705203:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 4.62/2.06 % (4110729)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2652756684:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 4.62/2.06 % (4110726)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=948100722:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 4.62/2.06 % (4110728)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=739590667:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 4.62/2.06 % (4110727)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=1839938268:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 4.62/2.06 % (4110731)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1697931193:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 4.62/2.06 % (4110732)dis-21_1_sil=8000:lcm=predicate:random_seed=1674631064:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2990 on theBenchmark for (2990ds/129Mi)
% 4.62/2.06 % (4110730)Instruction limit reached!
% 4.62/2.06 % (4110730)------------------------------
% 4.62/2.06 % (4110730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.62/2.06 % (4110730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.62/2.06 % (4110730)CaDiCaL version: 2.1.3
% 4.62/2.06 % (4110730)Termination reason: Instruction limit
% 4.62/2.06 % (4110730)Termination phase: Saturation
% 4.62/2.06 % (4110730)Time elapsed: 0.054 s
% 4.62/2.06 % (4110730)Peak memory usage: 116 MB
% 4.62/2.06 % (4110730)Instructions burned: 123 (million)
% 4.62/2.06 % (4110731)Instruction limit reached!
% 4.62/2.06 % (4110731)------------------------------
% 4.62/2.06 % (4110731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.62/2.06 % (4110731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.62/2.06 % (4110731)CaDiCaL version: 2.1.3
% 4.62/2.06 % (4110731)Termination reason: Instruction limit
% 4.62/2.06 % (4110731)Termination phase: Property scanning
% 4.62/2.06 % (4110731)Time elapsed: 0.067 s
% 4.62/2.06 % (4110731)Peak memory usage: 110 MB
% 4.62/2.06 % (4110731)Instructions burned: 140 (million)
% 4.62/2.06 % (4110729)Instruction limit reached!
% 4.62/2.06 % (4110729)------------------------------
% 4.62/2.06 % (4110729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.62/2.06 % (4110729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.62/2.06 % (4110729)CaDiCaL version: 2.1.3
% 4.62/2.06 % (4110729)Termination reason: Instruction limit
% 4.62/2.06 % (4110729)Termination phase: Saturation
% 4.62/2.06 % (4110729)Time elapsed: 0.083 s
% 4.62/2.06 % (4110729)Peak memory usage: 117 MB
% 4.62/2.06 % (4110729)Instructions burned: 110 (million)
% 4.62/2.06 % (4110732)Instruction limit reached!
% 4.62/2.06 % (4110732)------------------------------
% 4.62/2.06 % (4110732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.62/2.06 % (4110732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.62/2.06 % (4110732)CaDiCaL version: 2.1.3
% 4.62/2.06 % (4110732)Termination reason: Instruction limit
% 4.62/2.06 % (4110732)Termination phase: SInE selection
% 4.62/2.06 % (4110732)Time elapsed: 0.079 s
% 4.62/2.06 % (4110732)Peak memory usage: 111 MB
% 4.62/2.06 % (4110732)Instructions burned: 129 (million)
% 4.62/2.06 % (4110740)lrs+10_1_sil=8000:sp=occurrence:random_seed=739679193:i=285:sd=3:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/285Mi)
% 4.62/2.06 % (4110740)First to succeed.
% 4.62/2.06 % (4110740)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4110674"
% 4.62/2.06 % (4110742)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1303068822:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 4.62/2.06 % (4110741)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4293633624:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 4.62/2.06 % (4110743)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=531827981:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 5.05/2.27 % (4110741)Instruction limit reached!
% 5.05/2.27 % (4110741)------------------------------
% 5.05/2.27 % (4110741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/2.27 % (4110741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/2.27 % (4110741)CaDiCaL version: 2.1.3
% 5.05/2.27 % (4110741)Termination reason: Instruction limit
% 5.05/2.27 % (4110741)Termination phase: Property scanning
% 5.05/2.27 % (4110741)Time elapsed: 0.075 s
% 5.05/2.27 % (4110741)Peak memory usage: 110 MB
% 5.05/2.27 % (4110741)Instructions burned: 159 (million)
% 5.05/2.27 % (4110742)Refutation not found, incomplete strategy
% 5.05/2.27 % (4110742)------------------------------
% 5.05/2.27 % (4110742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/2.27 % (4110742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/2.27 % (4110742)CaDiCaL version: 2.1.3
% 5.05/2.27 % (4110742)Termination reason: Refutation not found, incomplete strategy
% 5.05/2.27 % (4110742)Time elapsed: 0.086 s
% 5.05/2.27 % (4110742)Peak memory usage: 118 MB
% 5.05/2.27 % (4110742)Instructions burned: 108 (million)
% 5.05/2.27 % (4110740)Refutation found. Thanks to Tanya!
% 5.05/2.27 % SZS status Theorem for theBenchmark
% 5.05/2.27 % SZS output start Proof for theBenchmark
% See solution above
% 5.05/2.28 % (4110740)------------------------------
% 5.05/2.28 % (4110740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/2.28 % (4110740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/2.28 % (4110740)CaDiCaL version: 2.1.3
% 5.05/2.28 % (4110740)Termination reason: Refutation
% 5.05/2.28 % (4110740)Time elapsed: 0.056 s
% 5.05/2.28 % (4110740)Peak memory usage: 120 MB
% 5.05/2.28 % (4110740)Instructions burned: 114 (million)
% 5.05/2.28 % (4110740)------------------------------
% 5.05/2.28 % (4110740)------------------------------
% 5.05/2.28 % (4110674)Success in time 1.394 s
% 5.05/2.28 % Vampire exiting
%------------------------------------------------------------------------------