%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR026+3 : 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 09:44:23 AM UTC 2026
% Result : Theorem 1.25s 0.71s
% Output : Refutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 64 ( 22 unt; 6 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 97 ( 44 ~; 39 |; 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(f723,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_723) ).
fof(f923,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_923) ).
fof(f1317,axiom,
( mtvisible(c_cyclistsmt)
=> runningshorts(c_tptprunningshorts) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1317) ).
fof(f1645,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1645) ).
fof(f1907,axiom,
! [X0] :
( ( mtvisible(c_tptp_member2701_mt)
& runningshorts(X0) )
=> tptpofobject(X0,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1907) ).
fof(f4288,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_4288) ).
fof(f7997,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_7997) ).
fof(f8006,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query126) ).
fof(f8007,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f9259,plain,
( runningshorts(c_tptprunningshorts)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f1317]) ).
fof(f9495,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ mtvisible(c_tptp_member2701_mt)
| ~ runningshorts(X0) ),
inference(ennf_transformation,[],[f1907]) ).
fof(f9496,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ mtvisible(c_tptp_member2701_mt)
| ~ runningshorts(X0) ),
inference(flattening,[],[f9495]) ).
fof(f13390,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f7997]) ).
fof(f13391,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f13390]) ).
fof(f13400,plain,
( ~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756))
& mtvisible(c_tptp_spindlecollectormt) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f14111,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f723]) ).
fof(f14306,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(cnf_transformation,[],[f923]) ).
fof(f14690,plain,
( ~ mtvisible(c_cyclistsmt)
| runningshorts(c_tptprunningshorts) ),
inference(cnf_transformation,[],[f9259]) ).
fof(f15012,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
inference(cnf_transformation,[],[f1645]) ).
fof(f15269,plain,
! [X0] :
( ~ runningshorts(X0)
| ~ mtvisible(c_tptp_member2701_mt)
| tptpofobject(X0,f_tptpquantityfn_2(n_756)) ),
inference(cnf_transformation,[],[f9496]) ).
fof(f17616,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f4288]) ).
fof(f20678,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f13391]) ).
fof(f20687,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f13400]) ).
fof(f20688,plain,
~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),
inference(cnf_transformation,[],[f13400]) ).
fof(f20790,definition,
( spl0_25
<=> mtvisible(c_cyclistsmt) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f21029,definition,
( spl0_77
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f21236,definition,
( spl0_122
<=> runningshorts(c_tptprunningshorts) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f21238,plain,
( runningshorts(c_tptprunningshorts)
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f21236]) ).
fof(f21383,definition,
( spl0_154
<=> mtvisible(c_tptp_member2701_mt) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
fof(f21385,plain,
( ~ mtvisible(c_tptp_member2701_mt)
| spl0_154 ),
inference(avatar_component_clause,[],[f21383]) ).
fof(f21388,definition,
( spl0_155
<=> ! [X0] :
( ~ runningshorts(X0)
| tptpofobject(X0,f_tptpquantityfn_2(n_756)) ) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f21389,plain,
( ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ runningshorts(X0) )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f21388]) ).
fof(f22846,plain,
( ~ spl0_154
| spl0_155 ),
inference(avatar_split_clause,[],[f15269,f21388,f21383]) ).
fof(f23369,plain,
( spl0_122
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f14690,f20790,f21236]) ).
fof(f25058,plain,
( ~ mtvisible(c_tptp_member3993_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[],[f14111,f20678]) ).
fof(f25060,definition,
( spl0_887
<=> mtvisible(c_tptp_member3993_mt) ),
introduced(definition,[new_symbols(definition,[spl0_887])],[avatar_definition]) ).
fof(f25062,plain,
( ~ mtvisible(c_tptp_member3993_mt)
| spl0_887 ),
inference(avatar_component_clause,[],[f25060]) ).
fof(f25063,plain,
( spl0_77
| ~ spl0_887 ),
inference(avatar_split_clause,[],[f25058,f25060,f21029]) ).
fof(f25166,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member3993_mt) ),
inference(resolution,[],[f14306,f20678]) ).
fof(f25167,plain,
mtvisible(c_tptp_member3993_mt),
inference(forward_subsumption_resolution,[],[f25166,f20687]) ).
fof(f25168,plain,
( $false
| spl0_887 ),
inference(forward_subsumption_resolution,[],[f25167,f25062]) ).
fof(f25169,plain,
spl0_887,
inference(avatar_contradiction_clause,[],[f25168]) ).
fof(f25574,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member2701_mt) ),
inference(resolution,[],[f15012,f20678]) ).
fof(f25575,plain,
mtvisible(c_tptp_member2701_mt),
inference(forward_subsumption_resolution,[],[f25574,f20687]) ).
fof(f25576,plain,
( $false
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f25575,f21385]) ).
fof(f25577,plain,
spl0_154,
inference(avatar_contradiction_clause,[],[f25576]) ).
fof(f25578,plain,
( ~ runningshorts(c_tptprunningshorts)
| ~ spl0_155 ),
inference(resolution,[],[f21389,f20688]) ).
fof(f26680,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| mtvisible(c_cyclistsmt) ),
inference(resolution,[],[f17616,f20678]) ).
fof(f27054,plain,
( spl0_25
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f26680,f21029,f20790]) ).
fof(f27123,plain,
( $false
| ~ spl0_122
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f21238,f25578]) ).
fof(f27124,plain,
( ~ spl0_122
| ~ spl0_155 ),
inference(avatar_contradiction_clause,[],[f27123]) ).
cnf(s394,plain,
( ~ spl0_154
| spl0_155 ),
inference(sat_conversion,[],[f22846]) ).
cnf(s489,plain,
( ~ spl0_25
| spl0_122 ),
inference(sat_conversion,[],[f23369]) ).
cnf(s781,plain,
( spl0_77
| ~ spl0_887 ),
inference(sat_conversion,[],[f25063]) ).
cnf(s796,plain,
spl0_887,
inference(sat_conversion,[],[f25169]) ).
cnf(s845,plain,
spl0_154,
inference(sat_conversion,[],[f25577]) ).
cnf(s998,plain,
( spl0_25
| ~ spl0_77 ),
inference(sat_conversion,[],[f27054]) ).
cnf(s1013,plain,
( ~ spl0_122
| ~ spl0_155 ),
inference(sat_conversion,[],[f27124]) ).
cnf(s1028,plain,
spl0_77,
inference(rat,[],[s781,s796]) ).
cnf(s1029,plain,
spl0_25,
inference(rat,[],[s998,s1028]) ).
cnf(s1094,plain,
spl0_122,
inference(rat,[],[s489,s1029]) ).
cnf(s1095,plain,
~ spl0_155,
inference(rat,[],[s1013,s1094]) ).
cnf(s1106,plain,
$false,
inference(rat,[],[s394,s1095,s845]) ).
fof(f27184,plain,
$false,
inference(avatar_sat_refutation,[],[s1106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR026+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n013.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 22:06:06 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 1.25/0.70 % (1639116)Will run a generic schedule for satisfiability detection.
% 1.25/0.70 % (1639121)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=370782010_2998 on theBenchmark for (2998ds/0Mi)
% 1.25/0.70 % (1639122)% WARNING: option uhcvi not known.
% 1.25/0.70 % (1639124)dis+10_1_sil=32000:sp=arity:random_seed=623064327:i=103:fgj=on_2998 on theBenchmark for (2998ds/103Mi)
% 1.25/0.70 % (1639122)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1388735275:i=135531:add=off:rawr=on_2998 on theBenchmark for (2998ds/135531Mi)
% 1.25/0.70 % (1639123)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=594276361:i=88024:add=on:rawr=on_2998 on theBenchmark for (2998ds/88024Mi)
% 1.25/0.70 % (1639125)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1835014639:i=116_2998 on theBenchmark for (2998ds/116Mi)
% 1.25/0.70 % (1639126)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2994028705:i=131_2998 on theBenchmark for (2998ds/131Mi)
% 1.25/0.70 % (1639127)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1113283559:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2998 on theBenchmark for (2998ds/159Mi)
% 1.25/0.70 % (1639124)Instruction limit reached!
% 1.25/0.70 % (1639124)------------------------------
% 1.25/0.70 % (1639124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.70 % (1639124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.70 % (1639124)CaDiCaL version: 2.1.3
% 1.25/0.70 % (1639124)Termination reason: Instruction limit
% 1.25/0.70 % (1639124)Termination phase: Saturation
% 1.25/0.70 % (1639124)Time elapsed: 0.062 s
% 1.25/0.70 % (1639124)Peak memory usage: 22 MB
% 1.25/0.70 % (1639124)Instructions burned: 104 (million)
% 1.25/0.70 % (1639126)Instruction limit reached!
% 1.25/0.70 % (1639126)------------------------------
% 1.25/0.70 % (1639126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.70 % (1639126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.70 % (1639126)CaDiCaL version: 2.1.3
% 1.25/0.70 % (1639126)Termination reason: Instruction limit
% 1.25/0.70 % (1639126)Termination phase: Saturation
% 1.25/0.70 % (1639126)Time elapsed: 0.077 s
% 1.25/0.70 % (1639126)Peak memory usage: 23 MB
% 1.25/0.70 % (1639126)Instructions burned: 133 (million)
% 1.25/0.70 % (1639125)Instruction limit reached!
% 1.25/0.70 % (1639125)------------------------------
% 1.25/0.70 % (1639125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.70 % (1639125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.70 % (1639125)CaDiCaL version: 2.1.3
% 1.25/0.70 % (1639125)Termination reason: Instruction limit
% 1.25/0.70 % (1639125)Termination phase: Blocked clause elimination
% 1.25/0.70 % (1639125)Time elapsed: 0.082 s
% 1.25/0.70 % (1639125)Peak memory usage: 24 MB
% 1.25/0.70 % (1639125)Instructions burned: 116 (million)
% 1.25/0.70 % (1639135)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4041970972:i=714:nm=2_2997 on theBenchmark for (2997ds/714Mi)
% 1.25/0.70 % (1639136)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1900288733:i=131:bd=preordered:fsd=on_2997 on theBenchmark for (2997ds/131Mi)
% 1.25/0.70 % (1639127)Instruction limit reached!
% 1.25/0.70 % (1639127)------------------------------
% 1.25/0.70 % (1639127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.70 % (1639127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.70 % (1639127)CaDiCaL version: 2.1.3
% 1.25/0.70 % (1639127)Termination reason: Instruction limit
% 1.25/0.70 % (1639127)Termination phase: Saturation
% 1.25/0.70 % (1639127)Time elapsed: 0.101 s
% 1.25/0.70 % (1639127)Peak memory usage: 25 MB
% 1.25/0.70 % (1639127)Instructions burned: 160 (million)
% 1.25/0.70 % (1639138)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1224145005:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 1.25/0.70 % (1639141)ott-21_1_sil=16000:fs=off:random_seed=2996445028:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 1.25/0.70 % TRYING [1]
% 1.25/0.70 % TRYING [2]
% 1.25/0.70 % TRYING [3]
% 1.25/0.70 % (1639136)Instruction limit reached!
% 1.25/0.70 % (1639136)------------------------------
% 1.25/0.70 % (1639136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.70 % (1639136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.71 % (1639136)CaDiCaL version: 2.1.3
% 1.25/0.71 % (1639136)Termination reason: Instruction limit
% 1.25/0.71 % (1639136)Termination phase: Blocked clause elimination
% 1.25/0.71 % (1639136)Time elapsed: 0.082 s
% 1.25/0.71 % (1639136)Peak memory usage: 23 MB
% 1.25/0.71 % (1639136)Instructions burned: 131 (million)
% 1.25/0.71 % (1639143)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=430869723:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 1.25/0.71 % (1639141)Instruction limit reached!
% 1.25/0.71 % (1639141)------------------------------
% 1.25/0.71 % (1639141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.71 % (1639141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.71 % (1639141)CaDiCaL version: 2.1.3
% 1.25/0.71 % (1639141)Termination reason: Instruction limit
% 1.25/0.71 % (1639141)Termination phase: Saturation
% 1.25/0.71 % (1639141)Time elapsed: 0.099 s
% 1.25/0.71 % (1639141)Peak memory usage: 23 MB
% 1.25/0.71 % (1639141)Instructions burned: 181 (million)
% 1.25/0.71 % (1639145)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=94231518:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 1.25/0.71 % TRYING [4]
% 1.25/0.71 % (1639138) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1639116-1639138"...
% 1.25/0.71 % TRYING [1]
% 1.25/0.71 % (1639138)...printing done.
% 1.25/0.71 % (1639138)Refutation found. Thanks to Tanya!
% 1.25/0.71 % SZS status Theorem for theBenchmark
% 1.25/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 1.25/0.71 % (1639138)------------------------------
% 1.25/0.71 % (1639138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.71 % (1639138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.71 % (1639138)CaDiCaL version: 2.1.3
% 1.25/0.71 % (1639138)Termination reason: Refutation
% 1.25/0.71 % (1639138)Time elapsed: 0.186 s
% 1.25/0.71 % (1639138)Peak memory usage: 30 MB
% 1.25/0.71 % (1639138)Instructions burned: 340 (million)
% 1.25/0.71 % (1639116)Success in time 0.478 s
% 1.25/0.71 % Vampire exiting
%------------------------------------------------------------------------------