%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR026+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 : n002.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 09:42:00 AM UTC 2026
% Result : Theorem 4.17s 1.22s
% Output : Refutation 4.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 58 ( 18 unt; 4 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 104 ( 48 ~; 44 |; 3 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).
fof(f6,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).
fof(f7,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
fof(f8,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
fof(f9,axiom,
! [X0] :
( ( mtvisible(c_tptp_member2701_mt)
& runningshorts(X0) )
=> tptpofobject(X0,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(f11,axiom,
( mtvisible(c_cyclistsmt)
=> runningshorts(c_tptprunningshorts) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
fof(f48,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).
fof(f57,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query26) ).
fof(f58,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f79,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ mtvisible(c_tptp_member2701_mt)
| ~ runningshorts(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f80,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ mtvisible(c_tptp_member2701_mt)
| ~ runningshorts(X0) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
( runningshorts(c_tptprunningshorts)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f11]) ).
fof(f102,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f103,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f102]) ).
fof(f112,plain,
( ~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756))
& mtvisible(c_tptp_spindlecollectormt) ),
inference(ennf_transformation,[],[f58]) ).
fof(f117,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f5]) ).
fof(f118,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
inference(cnf_transformation,[],[f6]) ).
fof(f119,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f7]) ).
fof(f120,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(cnf_transformation,[],[f8]) ).
fof(f121,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ mtvisible(c_tptp_member2701_mt)
| ~ runningshorts(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f122,plain,
( runningshorts(c_tptprunningshorts)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f81]) ).
fof(f140,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f149,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f112]) ).
fof(f150,plain,
~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),
inference(cnf_transformation,[],[f112]) ).
fof(f152,definition,
( spl0_1
<=> mtvisible(c_cyclistsmt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f154,plain,
( ~ mtvisible(c_cyclistsmt)
| spl0_1 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f156,definition,
( spl0_2
<=> runningshorts(c_tptprunningshorts) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f158,plain,
( runningshorts(c_tptprunningshorts)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f159,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f122,f156,f152]) ).
fof(f161,definition,
( spl0_3
<=> mtvisible(c_tptp_member2701_mt) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f163,plain,
( ~ mtvisible(c_tptp_member2701_mt)
| spl0_3 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f165,definition,
( spl0_4
<=> ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ runningshorts(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f166,plain,
( ! [X0] :
( ~ runningshorts(X0)
| tptpofobject(X0,f_tptpquantityfn_2(n_756)) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f167,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f121,f165,f161]) ).
fof(f168,plain,
( ! [X0] :
( ~ genlmt(X0,c_cyclistsmt)
| ~ mtvisible(X0) )
| spl0_1 ),
inference(resolution,[],[f140,f154]) ).
fof(f169,plain,
( ! [X0] :
( ~ genlmt(X0,c_tptp_member2701_mt)
| ~ mtvisible(X0) )
| spl0_3 ),
inference(resolution,[],[f140,f163]) ).
fof(f171,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| spl0_1 ),
inference(resolution,[],[f168,f117]) ).
fof(f172,plain,
( ! [X0] :
( ~ genlmt(X0,c_tptp_spindleheadmt)
| ~ mtvisible(X0) )
| spl0_1 ),
inference(resolution,[],[f171,f140]) ).
fof(f174,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| spl0_3 ),
inference(resolution,[],[f169,f118]) ).
fof(f175,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f174,f149]) ).
fof(f176,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f175]) ).
fof(f186,plain,
( ~ mtvisible(c_tptp_member3993_mt)
| spl0_1 ),
inference(resolution,[],[f172,f119]) ).
fof(f187,plain,
( ! [X0] :
( ~ genlmt(X0,c_tptp_member3993_mt)
| ~ mtvisible(X0) )
| spl0_1 ),
inference(resolution,[],[f186,f140]) ).
fof(f200,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| spl0_1 ),
inference(resolution,[],[f187,f120]) ).
fof(f201,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f200,f149]) ).
fof(f202,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f201]) ).
fof(f203,plain,
( tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756))
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f158,f166]) ).
fof(f205,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f203,f150]) ).
fof(f206,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f205]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f159]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f167]) ).
cnf(s3,plain,
spl0_3,
inference(sat_conversion,[],[f176]) ).
cnf(s4,plain,
spl0_1,
inference(sat_conversion,[],[f202]) ).
cnf(s5,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f206]) ).
cnf(s6,plain,
spl0_4,
inference(rat,[],[s2,s3]) ).
cnf(s7,plain,
~ spl0_2,
inference(rat,[],[s5,s6]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s7,s4]) ).
fof(f207,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR026+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n002.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 22:09:07 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running first-order theorem proving
% 0.10/0.24 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
% 4.17/1.22 % (830770)Detected formulas, will run a generic FOF schedule.
% 4.17/1.22 % (830792)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=2468671314:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.17/1.22 % (830791)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=96961383:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.17/1.22 % (830796)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3054852653:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.17/1.22 % (830796)First to succeed.
% 4.17/1.22 % (830796)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-830770"
% 4.17/1.22 % (830795)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1456476977:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.17/1.22 % (830793)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=298333394:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.17/1.22 % (830794)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=890808400:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.17/1.22 % (830794)Refutation not found, incomplete strategy
% 4.17/1.22 % (830794)------------------------------
% 4.17/1.22 % (830794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.22 % (830794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.22 % (830794)CaDiCaL version: 2.1.3
% 4.17/1.22 % (830794)Termination reason: Refutation not found, incomplete strategy
% 4.17/1.22 % (830794)Time elapsed: 0.002 s
% 4.17/1.22 % (830794)Peak memory usage: 88 MB
% 4.17/1.22 % (830797)dis-21_1_sil=8000:lcm=predicate:random_seed=3295580650: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)
% 4.17/1.22 % (830797)Also succeeded, but the first one will report.
% 4.17/1.22 % (830795)Instruction limit reached!
% 4.17/1.22 % (830795)------------------------------
% 4.17/1.22 % (830795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.22 % (830795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.22 % (830795)CaDiCaL version: 2.1.3
% 4.17/1.22 % (830795)Termination reason: Instruction limit
% 4.17/1.22 % (830795)Termination phase: Saturation
% 4.17/1.22 % (830795)Time elapsed: 0.074 s
% 4.17/1.22 % (830795)Peak memory usage: 87 MB
% 4.17/1.22 % (830795)Instructions burned: 119 (million)
% 4.17/1.22 % (830807)lrs+10_1_sil=8000:sp=occurrence:random_seed=3581721466:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.17/1.22 % (830807)Also succeeded, but the first one will report.
% 4.17/1.22 % (830794)------------------------------
% 4.17/1.22 % (830794)------------------------------
% 4.17/1.22 % (830796)Refutation found. Thanks to Tanya!
% 4.17/1.22 % SZS status Theorem for theBenchmark
% 4.17/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 4.17/1.22 % (830796)------------------------------
% 4.17/1.22 % (830796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.22 % (830796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.22 % (830796)CaDiCaL version: 2.1.3
% 4.17/1.22 % (830796)Termination reason: Refutation
% 4.17/1.22 % (830796)Time elapsed: 0.006 s
% 4.17/1.22 % (830796)Peak memory usage: 89 MB
% 4.17/1.22 % (830796)Instructions burned: 4 (million)
% 4.17/1.22 % (830796)------------------------------
% 4.17/1.22 % (830796)------------------------------
% 4.17/1.22 % (830770)Success in time 0.517 s
% 4.17/1.22 % Vampire exiting
%------------------------------------------------------------------------------