%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR026+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 09:44:22 AM UTC 2026
% Result : Theorem 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 60 ( 22 unt; 6 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 91 ( 42 ~; 35 |; 3 &)
% ( 6 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just5) ).
fof(f6,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just6) ).
fof(f7,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).
fof(f8,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',just9) ).
fof(f11,axiom,
( mtvisible(c_cyclistsmt)
=> runningshorts(c_tptprunningshorts) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).
fof(f48,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just48) ).
fof(f57,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox2/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] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(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(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(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] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ runningshorts(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f167,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f121,f165,f161]) ).
fof(f192,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| mtvisible(c_cyclistsmt) ),
inference(resolution,[],[f140,f117]) ).
fof(f193,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member2701_mt) ),
inference(resolution,[],[f140,f118]) ).
fof(f194,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member3993_mt) ),
inference(resolution,[],[f140,f120]) ).
fof(f195,plain,
( ~ mtvisible(c_tptp_member3993_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[],[f140,f119]) ).
fof(f197,definition,
( spl0_5
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f201,definition,
( spl0_6
<=> mtvisible(c_tptp_member3993_mt) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f204,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f195,f201,f197]) ).
fof(f205,plain,
mtvisible(c_tptp_member3993_mt),
inference(forward_subsumption_resolution,[],[f194,f149]) ).
fof(f206,plain,
mtvisible(c_tptp_member2701_mt),
inference(forward_subsumption_resolution,[],[f193,f149]) ).
fof(f217,plain,
spl0_6,
inference(avatar_split_clause,[],[f205,f201]) ).
fof(f221,plain,
spl0_3,
inference(avatar_split_clause,[],[f206,f161]) ).
fof(f222,plain,
( spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f192,f197,f152]) ).
fof(f224,plain,
( ~ runningshorts(c_tptprunningshorts)
| ~ spl0_4 ),
inference(resolution,[],[f166,f150]) ).
fof(f225,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f224,f158]) ).
fof(f226,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f225]) ).
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_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f204]) ).
cnf(s5,plain,
spl0_6,
inference(sat_conversion,[],[f217]) ).
cnf(s8,plain,
spl0_3,
inference(sat_conversion,[],[f221]) ).
cnf(s9,plain,
( spl0_1
| ~ spl0_5 ),
inference(sat_conversion,[],[f222]) ).
cnf(s11,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f226]) ).
cnf(s12,plain,
spl0_5,
inference(rat,[],[s3,s5]) ).
cnf(s13,plain,
spl0_1,
inference(rat,[],[s9,s12]) ).
cnf(s16,plain,
spl0_4,
inference(rat,[],[s2,s8]) ).
cnf(s17,plain,
~ spl0_2,
inference(rat,[],[s11,s16]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s1,s17,s13]) ).
fof(f227,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR026+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n013.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 22:05:52 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.29 % (1638681)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (1638686)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3439763213_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29 % TRYING [1]
% 0.20/0.29 % TRYING [2]
% 0.20/0.29 % TRYING [3]
% 0.20/0.29 % TRYING [4]
% 0.20/0.29 % TRYING [5]
% 0.20/0.29 % (1638687)% WARNING: option uhcvi not known.
% 0.20/0.29 % TRYING [6]
% 0.20/0.29 % TRYING [7]
% 0.20/0.29 % (1638689)dis+10_1_sil=32000:sp=arity:random_seed=3304529317:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29 % (1638687)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4257928799:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29 % TRYING [8]
% 0.20/0.29 % (1638688)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3712288896:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29 % (1638690)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3471800712:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29 % (1638691)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4230921682:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % (1638692)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1395810542:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29 % (1638689) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1638681-1638689"...
% 0.20/0.29 % TRYING [9]
% 0.20/0.29 % (1638687) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1638681-1638687"...
% 0.20/0.29 % (1638691) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1638681-1638691"...
% 0.20/0.29 % (1638692) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1638681-1638692"...
% 0.20/0.29 % (1638690) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1638681-1638690"...
% 0.20/0.29 % (1638688) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1638681-1638688"...
% 0.20/0.29 % (1638689)...printing done.
% 0.20/0.29 % (1638687)...printing done.
% 0.20/0.29 % (1638691)...printing done.
% 0.20/0.29 % (1638689)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Theorem for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (1638689)------------------------------
% 0.20/0.29 % (1638689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (1638689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (1638689)CaDiCaL version: 2.1.3
% 0.20/0.29 % (1638689)Termination reason: Refutation
% 0.20/0.29 % (1638689)Time elapsed: 0.003 s
% 0.20/0.29 % (1638689)Peak memory usage: 12 MB
% 0.20/0.29 % (1638689)Instructions burned: 2 (million)
% 0.20/0.29 % (1638681)Success in time 0.052 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------