%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR056+3 : 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 : n015.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 09:42:24 AM UTC 2026
% Result : Theorem 3.50s 1.12s
% Output : Refutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 55 ( 14 unt; 5 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 96 ( 44 ~; 38 |; 3 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 21 ( 0 sgn 19 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f842,axiom,
! [X0] :
( ( mtvisible(c_tptp_member3717_mt)
& supplies(X0) )
=> tptpofobject(X0,f_tptpquantityfn_17(n_385)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_842) ).
fof(f2509,axiom,
( mtvisible(c_cyclistsmt)
=> artsupplies(c_tptpartsupplies) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2509) ).
fof(f3558,axiom,
! [X0] :
( artsupplies(X0)
=> supplies(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3558) ).
fof(f3950,axiom,
genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3950) ).
fof(f4481,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_4481) ).
fof(f7997,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7997) ).
fof(f8006,conjecture,
? [X0] :
( mtvisible(c_tptp_member3717_mt)
=> tptpofobject(c_tptpartsupplies,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query156) ).
fof(f8007,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_member3717_mt)
=> tptpofobject(c_tptpartsupplies,X0) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8132,plain,
! [X0] :
( ~ tptpofobject(c_tptpartsupplies,X0)
& mtvisible(c_tptp_member3717_mt) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f8133,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f7997]) ).
fof(f8134,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f8133]) ).
fof(f8137,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_17(n_385))
| ~ mtvisible(c_tptp_member3717_mt)
| ~ supplies(X0) ),
inference(ennf_transformation,[],[f842]) ).
fof(f8138,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_17(n_385))
| ~ mtvisible(c_tptp_member3717_mt)
| ~ supplies(X0) ),
inference(flattening,[],[f8137]) ).
fof(f8139,plain,
( artsupplies(c_tptpartsupplies)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f2509]) ).
fof(f8162,plain,
! [X0] :
( supplies(X0)
| ~ artsupplies(X0) ),
inference(ennf_transformation,[],[f3558]) ).
fof(f8293,plain,
mtvisible(c_tptp_member3717_mt),
inference(cnf_transformation,[],[f8132]) ).
fof(f8294,plain,
! [X0] : ~ tptpofobject(c_tptpartsupplies,X0),
inference(cnf_transformation,[],[f8132]) ).
fof(f8295,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f8134]) ).
fof(f8298,plain,
genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f3950]) ).
fof(f8302,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_17(n_385))
| ~ mtvisible(c_tptp_member3717_mt)
| ~ supplies(X0) ),
inference(cnf_transformation,[],[f8138]) ).
fof(f8304,plain,
( artsupplies(c_tptpartsupplies)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f8139]) ).
fof(f8320,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f4481]) ).
fof(f8337,plain,
! [X0] :
( ~ artsupplies(X0)
| supplies(X0) ),
inference(cnf_transformation,[],[f8162]) ).
fof(f8522,definition,
( spl0_5
<=> mtvisible(c_cyclistsmt) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f8544,definition,
( spl0_11
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f8694,definition,
( spl0_50
<=> artsupplies(c_tptpartsupplies) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f8695,plain,
( artsupplies(c_tptpartsupplies)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f8694]) ).
fof(f8697,plain,
( ~ spl0_5
| spl0_50 ),
inference(avatar_split_clause,[],[f8304,f8694,f8522]) ).
fof(f8699,definition,
( spl0_51
<=> mtvisible(c_tptp_member3717_mt) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f8700,plain,
( ~ mtvisible(c_tptp_member3717_mt)
| spl0_51 ),
inference(avatar_component_clause,[],[f8699]) ).
fof(f8702,definition,
( spl0_52
<=> ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_17(n_385))
| ~ supplies(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f8703,plain,
( ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_17(n_385))
| ~ supplies(X0) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f8702]) ).
fof(f8704,plain,
( ~ spl0_51
| spl0_52 ),
inference(avatar_split_clause,[],[f8302,f8702,f8699]) ).
fof(f8709,plain,
( $false
| spl0_51 ),
inference(resolution,[],[f8700,f8293]) ).
fof(f8710,plain,
spl0_51,
inference(avatar_contradiction_clause,[],[f8709]) ).
fof(f8711,plain,
( ~ supplies(c_tptpartsupplies)
| ~ spl0_52 ),
inference(resolution,[],[f8703,f8294]) ).
fof(f8815,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| mtvisible(c_cyclistsmt) ),
inference(resolution,[],[f8295,f8320]) ).
fof(f8838,plain,
( ~ mtvisible(c_tptp_member3717_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[],[f8295,f8298]) ).
fof(f8841,plain,
( spl0_11
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f8838,f8699,f8544]) ).
fof(f8914,plain,
( spl0_5
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f8815,f8544,f8522]) ).
fof(f8920,plain,
( supplies(c_tptpartsupplies)
| ~ spl0_50 ),
inference(resolution,[],[f8695,f8337]) ).
fof(f8928,plain,
( $false
| ~ spl0_50
| ~ spl0_52 ),
inference(resolution,[],[f8920,f8711]) ).
fof(f8930,plain,
( ~ spl0_50
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[],[f8928]) ).
cnf(s42,plain,
( ~ spl0_5
| spl0_50 ),
inference(sat_conversion,[],[f8697]) ).
cnf(s43,plain,
( ~ spl0_51
| spl0_52 ),
inference(sat_conversion,[],[f8704]) ).
cnf(s45,plain,
spl0_51,
inference(sat_conversion,[],[f8710]) ).
cnf(s46,plain,
( spl0_11
| ~ spl0_51 ),
inference(sat_conversion,[],[f8841]) ).
cnf(s64,plain,
( spl0_5
| ~ spl0_11 ),
inference(sat_conversion,[],[f8914]) ).
cnf(s68,plain,
( ~ spl0_50
| ~ spl0_52 ),
inference(sat_conversion,[],[f8930]) ).
cnf(s69,plain,
spl0_11,
inference(rat,[],[s46,s45]) ).
cnf(s70,plain,
spl0_5,
inference(rat,[],[s64,s69]) ).
cnf(s81,plain,
spl0_52,
inference(rat,[],[s43,s45]) ).
cnf(s82,plain,
~ spl0_50,
inference(rat,[],[s68,s81]) ).
cnf(s83,plain,
$false,
inference(rat,[],[s42,s82,s70]) ).
fof(f8931,plain,
$false,
inference(avatar_sat_refutation,[],[s83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR056+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n015.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 22:24:17 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 3.50/1.12 % (3098342)Detected formulas, will run a generic FOF schedule.
% 3.50/1.12 % (3098393)dis-21_1_sil=8000:lcm=predicate:random_seed=1843088497: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)
% 3.50/1.12 % (3098387)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=618346248:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.50/1.12 % (3098388)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=1595559496:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.50/1.12 % (3098389)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=4207372770:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.50/1.12 % (3098391)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1201943758:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.50/1.12 % (3098390)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2759016054:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.50/1.12 % (3098392)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1009791106:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.50/1.12 % (3098390)Refutation not found, incomplete strategy
% 3.50/1.12 % (3098390)------------------------------
% 3.50/1.12 % (3098390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.12 % (3098390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.12 % (3098390)CaDiCaL version: 2.1.3
% 3.50/1.12 % (3098390)Termination reason: Refutation not found, incomplete strategy
% 3.50/1.12 % (3098390)Time elapsed: 0.016 s
% 3.50/1.12 % (3098390)Peak memory usage: 93 MB
% 3.50/1.12 % (3098390)Instructions burned: 24 (million)
% 3.50/1.12 % (3098393)First to succeed.
% 3.50/1.12 % (3098393)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3098342"
% 3.50/1.12 % (3098392)Instruction limit reached!
% 3.50/1.12 % (3098392)------------------------------
% 3.50/1.12 % (3098392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.12 % (3098392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.12 % (3098392)CaDiCaL version: 2.1.3
% 3.50/1.12 % (3098392)Termination reason: Instruction limit
% 3.50/1.12 % (3098392)Termination phase: Property scanning
% 3.50/1.12 % (3098392)Time elapsed: 0.042 s
% 3.50/1.12 % (3098392)Peak memory usage: 93 MB
% 3.50/1.12 % (3098392)Instructions burned: 141 (million)
% 3.50/1.12 % (3098391)Instruction limit reached!
% 3.50/1.12 % (3098391)------------------------------
% 3.50/1.12 % (3098391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.12 % (3098391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.12 % (3098391)CaDiCaL version: 2.1.3
% 3.50/1.12 % (3098391)Termination reason: Instruction limit
% 3.50/1.12 % (3098391)Termination phase: Saturation
% 3.50/1.12 % (3098391)Time elapsed: 0.053 s
% 3.50/1.12 % (3098391)Peak memory usage: 93 MB
% 3.50/1.12 % (3098391)Instructions burned: 120 (million)
% 3.50/1.12 % (3098438)lrs+10_1_sil=8000:sp=occurrence:random_seed=3013222641:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.50/1.12 % (3098438)Also succeeded, but the first one will report.
% 3.50/1.12 % (3098440)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3529130633:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.50/1.12 % (3098440)Refutation not found, incomplete strategy
% 3.50/1.12 % (3098440)------------------------------
% 3.50/1.12 % (3098440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.12 % (3098440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.12 % (3098440)CaDiCaL version: 2.1.3
% 3.50/1.12 % (3098440)Termination reason: Refutation not found, incomplete strategy
% 3.50/1.12 % (3098440)Time elapsed: 0.030 s
% 3.50/1.12 % (3098440)Peak memory usage: 94 MB
% 3.50/1.12 % (3098440)Instructions burned: 55 (million)
% 3.50/1.12 % (3098390)------------------------------
% 3.50/1.12 % (3098390)------------------------------
% 3.50/1.12 % (3098393)Refutation found. Thanks to Tanya!
% 3.50/1.12 % SZS status Theorem for theBenchmark
% 3.50/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 3.50/1.12 % (3098393)------------------------------
% 3.50/1.12 % (3098393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.12 % (3098393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.12 % (3098393)CaDiCaL version: 2.1.3
% 3.50/1.12 % (3098393)Termination reason: Refutation
% 3.50/1.12 % (3098393)Time elapsed: 0.029 s
% 3.50/1.12 % (3098393)Peak memory usage: 95 MB
% 3.50/1.12 % (3098393)Instructions burned: 43 (million)
% 3.50/1.12 % (3098393)------------------------------
% 3.50/1.12 % (3098393)------------------------------
% 3.50/1.12 % (3098342)Success in time 0.493 s
% 3.50/1.12 % Vampire exiting
%------------------------------------------------------------------------------