%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR026+2 : 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 : 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 0.21s 1.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 65 ( 20 unt; 7 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 104 ( 47 ~; 42 |; 3 &)
% ( 7 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 8 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(f163,axiom,
( mtvisible(c_cyclistsmt)
=> runningshorts(c_tptprunningshorts) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_163) ).
fof(f254,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_254) ).
fof(f315,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_315) ).
fof(f344,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_344) ).
fof(f364,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_364) ).
fof(f440,axiom,
! [X0] :
( ( mtvisible(c_tptp_member2701_mt)
& runningshorts(X0) )
=> tptpofobject(X0,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_440) ).
fof(f1123,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1123) ).
fof(f1132,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query76) ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1222,plain,
( ~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756))
& mtvisible(c_tptp_spindlecollectormt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f1223,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f1123]) ).
fof(f1224,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f1223]) ).
fof(f1228,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ mtvisible(c_tptp_member2701_mt)
| ~ runningshorts(X0) ),
inference(ennf_transformation,[],[f440]) ).
fof(f1229,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ mtvisible(c_tptp_member2701_mt)
| ~ runningshorts(X0) ),
inference(flattening,[],[f1228]) ).
fof(f1236,plain,
( runningshorts(c_tptprunningshorts)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f163]) ).
fof(f1351,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f1222]) ).
fof(f1352,plain,
~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),
inference(cnf_transformation,[],[f1222]) ).
fof(f1353,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f1224]) ).
fof(f1357,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(cnf_transformation,[],[f364]) ).
fof(f1359,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
inference(cnf_transformation,[],[f344]) ).
fof(f1364,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ mtvisible(c_tptp_member2701_mt)
| ~ runningshorts(X0) ),
inference(cnf_transformation,[],[f1229]) ).
fof(f1368,plain,
( runningshorts(c_tptprunningshorts)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f1236]) ).
fof(f1374,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f315]) ).
fof(f1388,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f254]) ).
fof(f1512,definition,
( spl0_3
<=> mtvisible(c_cyclistsmt) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1534,definition,
( spl0_9
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f1581,definition,
( spl0_22
<=> mtvisible(c_tptp_member2701_mt) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f1588,definition,
( spl0_24
<=> runningshorts(c_tptprunningshorts) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f1589,plain,
( runningshorts(c_tptprunningshorts)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f1588]) ).
fof(f1590,plain,
( ~ spl0_3
| spl0_24 ),
inference(avatar_split_clause,[],[f1368,f1588,f1512]) ).
fof(f1604,definition,
( spl0_28
<=> ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ runningshorts(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f1605,plain,
( ! [X0] :
( ~ runningshorts(X0)
| tptpofobject(X0,f_tptpquantityfn_2(n_756)) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f1606,plain,
( ~ spl0_22
| spl0_28 ),
inference(avatar_split_clause,[],[f1364,f1604,f1581]) ).
fof(f1697,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member3993_mt) ),
inference(resolution,[],[f1353,f1357]) ).
fof(f1698,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member2701_mt) ),
inference(resolution,[],[f1353,f1359]) ).
fof(f1703,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| mtvisible(c_cyclistsmt) ),
inference(resolution,[],[f1353,f1388]) ).
fof(f1708,plain,
( ~ mtvisible(c_tptp_member3993_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[],[f1353,f1374]) ).
fof(f1711,definition,
( spl0_30
<=> mtvisible(c_tptp_member3993_mt) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f1713,plain,
( spl0_9
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1708,f1711,f1534]) ).
fof(f1742,definition,
( spl0_38
<=> mtvisible(c_tptp_spindlecollectormt) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f1743,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| spl0_38 ),
inference(avatar_component_clause,[],[f1742]) ).
fof(f1746,plain,
( spl0_22
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1698,f1742,f1581]) ).
fof(f1748,plain,
( spl0_30
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1697,f1742,f1711]) ).
fof(f1763,plain,
( $false
| spl0_38 ),
inference(resolution,[],[f1743,f1351]) ).
fof(f1764,plain,
spl0_38,
inference(avatar_contradiction_clause,[],[f1763]) ).
fof(f1766,plain,
( spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1703,f1534,f1512]) ).
fof(f1803,plain,
( tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756))
| ~ spl0_24
| ~ spl0_28 ),
inference(resolution,[],[f1605,f1589]) ).
fof(f1826,plain,
( $false
| ~ spl0_24
| ~ spl0_28 ),
inference(resolution,[],[f1803,f1352]) ).
fof(f1828,plain,
( ~ spl0_24
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1826]) ).
cnf(s15,plain,
( ~ spl0_3
| spl0_24 ),
inference(sat_conversion,[],[f1590]) ).
cnf(s19,plain,
( ~ spl0_22
| spl0_28 ),
inference(sat_conversion,[],[f1606]) ).
cnf(s21,plain,
( spl0_9
| ~ spl0_30 ),
inference(sat_conversion,[],[f1713]) ).
cnf(s27,plain,
( spl0_22
| ~ spl0_38 ),
inference(sat_conversion,[],[f1746]) ).
cnf(s28,plain,
( spl0_30
| ~ spl0_38 ),
inference(sat_conversion,[],[f1748]) ).
cnf(s34,plain,
spl0_38,
inference(sat_conversion,[],[f1764]) ).
cnf(s35,plain,
( spl0_3
| ~ spl0_9 ),
inference(sat_conversion,[],[f1766]) ).
cnf(s39,plain,
( ~ spl0_24
| ~ spl0_28 ),
inference(sat_conversion,[],[f1828]) ).
cnf(s45,plain,
spl0_30,
inference(rat,[],[s28,s34]) ).
cnf(s46,plain,
spl0_22,
inference(rat,[],[s27,s34]) ).
cnf(s48,plain,
spl0_9,
inference(rat,[],[s21,s45]) ).
cnf(s49,plain,
spl0_3,
inference(rat,[],[s35,s48]) ).
cnf(s56,plain,
spl0_28,
inference(rat,[],[s19,s46]) ).
cnf(s57,plain,
~ spl0_24,
inference(rat,[],[s39,s56]) ).
cnf(s61,plain,
$false,
inference(rat,[],[s15,s57,s49]) ).
fof(f1829,plain,
$false,
inference(avatar_sat_refutation,[],[s61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR026+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n002.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 22:09:07 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 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
% 0.21/1.50 % (830640)Detected formulas, will run a generic FOF schedule.
% 0.21/1.50 % (830776)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=376785918:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.21/1.50 % (830775)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=4048014633:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.21/1.50 % (830779)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=869674709:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.21/1.50 % (830777)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=3739156497:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.21/1.50 % (830778)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=482102055:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.21/1.50 % (830778)Refutation not found, incomplete strategy
% 0.21/1.50 % (830778)------------------------------
% 0.21/1.50 % (830778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.50 % (830778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.50 % (830778)CaDiCaL version: 2.1.3
% 0.21/1.50 % (830778)Termination reason: Refutation not found, incomplete strategy
% 0.21/1.50 % (830778)Time elapsed: 0.003 s
% 0.21/1.50 % (830778)Peak memory usage: 88 MB
% 0.21/1.50 % (830778)Instructions burned: 3 (million)
% 0.21/1.50 % (830781)dis-21_1_sil=8000:lcm=predicate:random_seed=123838744: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)
% 0.21/1.50 % (830781)First to succeed.
% 0.21/1.50 % (830781)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-830640"
% 0.21/1.50 % (830780)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3969482712:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.21/1.50 % (830779)Instruction limit reached!
% 0.21/1.50 % (830779)------------------------------
% 0.21/1.50 % (830779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.50 % (830779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.50 % (830779)CaDiCaL version: 2.1.3
% 0.21/1.50 % (830779)Termination reason: Instruction limit
% 0.21/1.50 % (830779)Termination phase: Saturation
% 0.21/1.50 % (830779)Time elapsed: 0.046 s
% 0.21/1.50 % (830779)Peak memory usage: 87 MB
% 0.21/1.50 % (830779)Instructions burned: 119 (million)
% 0.21/1.50 % (830780)Also succeeded, but the first one will report.
% 0.21/1.50 % (830789)lrs+10_1_sil=8000:sp=occurrence:random_seed=3661618978:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 0.21/1.50 % (830789)Refutation not found, incomplete strategy
% 0.21/1.50 % (830789)------------------------------
% 0.21/1.50 % (830789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.50 % (830789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.50 % (830789)CaDiCaL version: 2.1.3
% 0.21/1.50 % (830789)Termination reason: Refutation not found, incomplete strategy
% 0.21/1.50 % (830789)Time elapsed: 0.007 s
% 0.21/1.50 % (830789)Peak memory usage: 89 MB
% 0.21/1.50 % (830789)Instructions burned: 5 (million)
% 0.21/1.50 % (830778)------------------------------
% 0.21/1.50 % (830778)------------------------------
% 0.21/1.50 % (830781)Refutation found. Thanks to Tanya!
% 0.21/1.50 % SZS status Theorem for theBenchmark
% 0.21/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.50 % (830781)------------------------------
% 0.21/1.50 % (830781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.50 % (830781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.50 % (830781)CaDiCaL version: 2.1.3
% 0.21/1.50 % (830781)Termination reason: Refutation
% 0.21/1.50 % (830781)Time elapsed: 0.010 s
% 0.21/1.50 % (830781)Peak memory usage: 90 MB
% 0.21/1.50 % (830781)Instructions burned: 13 (million)
% 0.21/1.50 % (830781)------------------------------
% 0.21/1.50 % (830781)------------------------------
% 0.21/1.50 % (830640)Success in time 0.603 s
% 0.21/1.50 % Vampire exiting
%------------------------------------------------------------------------------