%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR056+1 : 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 3.69s 1.28s
% Output : Refutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 52 ( 14 unt; 4 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 94 ( 44 ~; 37 |; 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 : 22 ( 0 sgn 20 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( artsupplies(X0)
=> supplies(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).
fof(f8,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).
fof(f9,axiom,
genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
fof(f10,axiom,
! [X0] :
( ( mtvisible(c_tptp_spindleheadmt)
& supplies(X0) )
=> tptpofobject(X0,f_tptpquantityfn_14(n_232)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).
fof(f12,axiom,
( mtvisible(c_cyclistsmt)
=> artsupplies(c_tptpartsupplies) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
fof(f47,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just47) ).
fof(f69,conjecture,
? [X0] :
( mtvisible(c_tptp_member3717_mt)
=> tptpofobject(c_tptpartsupplies,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query56) ).
fof(f70,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_member3717_mt)
=> tptpofobject(c_tptpartsupplies,X0) ),
inference(negated_conjecture,[status(cth)],[f69]) ).
fof(f82,plain,
! [X0] :
( supplies(X0)
| ~ artsupplies(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f83,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_14(n_232))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ supplies(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f84,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_14(n_232))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ supplies(X0) ),
inference(flattening,[],[f83]) ).
fof(f86,plain,
( artsupplies(c_tptpartsupplies)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f12]) ).
fof(f116,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f117,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f116]) ).
fof(f142,plain,
! [X0] :
( ~ tptpofobject(c_tptpartsupplies,X0)
& mtvisible(c_tptp_member3717_mt) ),
inference(ennf_transformation,[],[f70]) ).
fof(f144,plain,
! [X0] :
( supplies(X0)
| ~ artsupplies(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f150,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f8]) ).
fof(f151,plain,
genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f9]) ).
fof(f152,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_14(n_232))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ supplies(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f154,plain,
( artsupplies(c_tptpartsupplies)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f86]) ).
fof(f178,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f200,plain,
mtvisible(c_tptp_member3717_mt),
inference(cnf_transformation,[],[f142]) ).
fof(f201,plain,
! [X0] : ~ tptpofobject(c_tptpartsupplies,X0),
inference(cnf_transformation,[],[f142]) ).
fof(f203,definition,
( spl0_1
<=> mtvisible(c_cyclistsmt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f207,definition,
( spl0_2
<=> artsupplies(c_tptpartsupplies) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f209,plain,
( artsupplies(c_tptpartsupplies)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f210,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f154,f207,f203]) ).
fof(f212,definition,
( spl0_3
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f213,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f221,definition,
( spl0_5
<=> ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_14(n_232))
| ~ supplies(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f222,plain,
( ! [X0] :
( ~ supplies(X0)
| tptpofobject(X0,f_tptpquantityfn_14(n_232)) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f223,plain,
( ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f152,f221,f212]) ).
fof(f224,plain,
( ~ mtvisible(c_tptp_member3717_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[],[f178,f151]) ).
fof(f225,plain,
mtvisible(c_tptp_spindleheadmt),
inference(forward_subsumption_resolution,[],[f224,f200]) ).
fof(f228,plain,
spl0_3,
inference(avatar_split_clause,[],[f225,f212]) ).
fof(f242,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| mtvisible(c_cyclistsmt) ),
inference(resolution,[],[f150,f178]) ).
fof(f243,plain,
( mtvisible(c_cyclistsmt)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f242,f213]) ).
fof(f247,plain,
( spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f243,f212,f203]) ).
fof(f250,plain,
( ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_14(n_232))
| ~ artsupplies(X0) )
| ~ spl0_5 ),
inference(resolution,[],[f144,f222]) ).
fof(f256,plain,
( ~ artsupplies(c_tptpartsupplies)
| ~ spl0_5 ),
inference(resolution,[],[f250,f201]) ).
fof(f257,plain,
( $false
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f256,f209]) ).
fof(f258,plain,
( ~ spl0_2
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f257]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f210]) ).
cnf(s3,plain,
( ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f223]) ).
cnf(s5,plain,
spl0_3,
inference(sat_conversion,[],[f228]) ).
cnf(s8,plain,
( spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f247]) ).
cnf(s11,plain,
( ~ spl0_2
| ~ spl0_5 ),
inference(sat_conversion,[],[f258]) ).
cnf(s12,plain,
spl0_1,
inference(rat,[],[s8,s5]) ).
cnf(s15,plain,
spl0_5,
inference(rat,[],[s3,s5]) ).
cnf(s16,plain,
~ spl0_2,
inference(rat,[],[s11,s15]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s1,s16,s12]) ).
fof(f259,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR056+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n015.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 22:24:02 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 3.69/1.28 % (3097636)Detected formulas, will run a generic FOF schedule.
% 3.69/1.28 % (3097645)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=61623091:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.69/1.28 % (3097645)Instruction limit reached!
% 3.69/1.28 % (3097645)------------------------------
% 3.69/1.28 % (3097645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.28 % (3097645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.28 % (3097645)CaDiCaL version: 2.1.3
% 3.69/1.28 % (3097645)Termination reason: Instruction limit
% 3.69/1.28 % (3097645)Termination phase: Saturation
% 3.69/1.28 % (3097645)Time elapsed: 0.026 s
% 3.69/1.28 % (3097645)Peak memory usage: 87 MB
% 3.69/1.28 % (3097645)Instructions burned: 123 (million)
% 3.69/1.28 % (3097641)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=2519110663:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.69/1.28 % (3097644)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3619139957:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.69/1.28 % (3097643)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=3925761135:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.69/1.28 % (3097642)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=1636459516:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.69/1.28 % (3097644)Refutation not found, incomplete strategy
% 3.69/1.28 % (3097644)------------------------------
% 3.69/1.28 % (3097644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.28 % (3097644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.28 % (3097644)CaDiCaL version: 2.1.3
% 3.69/1.28 % (3097644)Termination reason: Refutation not found, incomplete strategy
% 3.69/1.28 % (3097644)Time elapsed: 0.001 s
% 3.69/1.28 % (3097644)Peak memory usage: 87 MB
% 3.69/1.28 % (3097647)dis-21_1_sil=8000:lcm=predicate:random_seed=503809333: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)
% 3.69/1.28 % (3097646)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=95150340:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.69/1.28 % (3097647)Also succeeded, but the first one will report.
% 3.69/1.28 % (3097646)First to succeed.
% 3.69/1.28 % (3097646)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3097636"
% 3.69/1.28 % (3097649)lrs+10_1_sil=8000:sp=occurrence:random_seed=2829725135:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.69/1.28 % (3097649)Also succeeded, but the first one will report.
% 3.69/1.28 % (3097644)------------------------------
% 3.69/1.28 % (3097644)------------------------------
% 3.69/1.28 % (3097646)Refutation found. Thanks to Tanya!
% 3.69/1.28 % SZS status Theorem for theBenchmark
% 3.69/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.69/1.28 % (3097646)------------------------------
% 3.69/1.28 % (3097646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.28 % (3097646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.28 % (3097646)CaDiCaL version: 2.1.3
% 3.69/1.28 % (3097646)Termination reason: Refutation
% 3.69/1.28 % (3097646)Time elapsed: 0.004 s
% 3.69/1.28 % (3097646)Peak memory usage: 89 MB
% 3.69/1.28 % (3097646)Instructions burned: 3 (million)
% 3.69/1.28 % (3097646)------------------------------
% 3.69/1.28 % (3097646)------------------------------
% 3.69/1.28 % (3097636)Success in time 0.44 s
% 3.69/1.28 % Vampire exiting
%------------------------------------------------------------------------------