%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR065+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 : n020.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 09:44:51 AM UTC 2026
% Result : Theorem 1.95s 0.70s
% Output : Refutation 1.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 61 ( 23 unt; 5 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 96 ( 45 ~; 38 |; 3 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 6 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(f142,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_142) ).
fof(f279,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_279) ).
fof(f737,axiom,
( mtvisible(c_cyclistsmt)
=> ridgeline_topographical(c_tptpridgeline_topographical) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_737) ).
fof(f2569,axiom,
! [X0] :
( ( mtvisible(c_tptp_member235_mt)
& ridgeline_topographical(X0) )
=> tptpofobject(X0,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2569) ).
fof(f2882,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3633_mt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2882) ).
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_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query165) ).
fof(f8007,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f9014,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f737]) ).
fof(f9765,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ mtvisible(c_tptp_member235_mt)
| ~ ridgeline_topographical(X0) ),
inference(ennf_transformation,[],[f2569]) ).
fof(f9766,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ mtvisible(c_tptp_member235_mt)
| ~ ridgeline_topographical(X0) ),
inference(flattening,[],[f9765]) ).
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_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
& mtvisible(c_tptp_spindlecollectormt) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f13537,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f142]) ).
fof(f13672,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
inference(cnf_transformation,[],[f279]) ).
fof(f14125,plain,
( ~ mtvisible(c_cyclistsmt)
| ridgeline_topographical(c_tptpridgeline_topographical) ),
inference(cnf_transformation,[],[f9014]) ).
fof(f15924,plain,
! [X0] :
( ~ ridgeline_topographical(X0)
| ~ mtvisible(c_tptp_member235_mt)
| tptpofobject(X0,f_tptpquantityfn_13(n_468)) ),
inference(cnf_transformation,[],[f9766]) ).
fof(f16234,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3633_mt),
inference(cnf_transformation,[],[f2882]) ).
fof(f17616,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f4288]) ).
fof(f20678,plain,
! [X0,X1] :
( ~ mtvisible(X0)
| ~ genlmt(X0,X1)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f13391]) ).
fof(f20687,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f13400]) ).
fof(f20688,plain,
~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
inference(cnf_transformation,[],[f13400]) ).
fof(f21050,plain,
( ~ mtvisible(c_cyclistsmt)
| ~ ridgeline_topographical(c_tptpridgeline_topographical) ),
inference(consistent_polarity_flipping,[],[f14125]) ).
fof(f21935,plain,
! [X0] :
( ridgeline_topographical(X0)
| ~ mtvisible(c_tptp_member235_mt)
| ~ tptpofobject(X0,f_tptpquantityfn_13(n_468)) ),
inference(consistent_polarity_flipping,[],[f15924]) ).
fof(f25597,plain,
tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
inference(consistent_polarity_flipping,[],[f20688]) ).
fof(f25703,definition,
( spl0_25
<=> mtvisible(c_cyclistsmt) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f25942,definition,
( spl0_77
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f25943,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f25942]) ).
fof(f26431,definition,
( spl0_183
<=> mtvisible(c_tptp_member235_mt) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
fof(f26436,definition,
( spl0_184
<=> ! [X0] :
( ridgeline_topographical(X0)
| ~ tptpofobject(X0,f_tptpquantityfn_13(n_468)) ) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
fof(f26437,plain,
( ! [X0] :
( ~ tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ridgeline_topographical(X0) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f26436]) ).
fof(f26866,definition,
( spl0_276
<=> ridgeline_topographical(c_tptpridgeline_topographical) ),
introduced(definition,[new_symbols(definition,[spl0_276])],[avatar_definition]) ).
fof(f26868,plain,
( ~ ridgeline_topographical(c_tptpridgeline_topographical)
| spl0_276 ),
inference(avatar_component_clause,[],[f26866]) ).
fof(f27211,plain,
( ~ spl0_183
| spl0_184 ),
inference(avatar_split_clause,[],[f21935,f26436,f26431]) ).
fof(f28826,plain,
( ~ spl0_276
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f21050,f25703,f26866]) ).
fof(f36478,plain,
! [X0] :
( ~ genlmt(c_tptp_spindlecollectormt,X0)
| mtvisible(X0) ),
inference(resolution,[],[f20678,f20687]) ).
fof(f36487,plain,
mtvisible(c_tptp_member3633_mt),
inference(resolution,[],[f36478,f16234]) ).
fof(f36492,plain,
mtvisible(c_tptp_member235_mt),
inference(resolution,[],[f36478,f13672]) ).
fof(f36569,plain,
spl0_183,
inference(avatar_split_clause,[],[f36492,f26431]) ).
fof(f36577,plain,
! [X0] :
( ~ genlmt(c_tptp_member3633_mt,X0)
| mtvisible(X0) ),
inference(resolution,[],[f36487,f20678]) ).
fof(f36696,plain,
mtvisible(c_tptp_spindleheadmt),
inference(resolution,[],[f36577,f13537]) ).
fof(f36701,plain,
spl0_77,
inference(avatar_split_clause,[],[f36696,f25942]) ).
fof(f36702,plain,
( ! [X0] :
( ~ genlmt(c_tptp_spindleheadmt,X0)
| mtvisible(X0) )
| ~ spl0_77 ),
inference(resolution,[],[f25943,f20678]) ).
fof(f42104,plain,
( mtvisible(c_cyclistsmt)
| ~ spl0_77 ),
inference(resolution,[],[f36702,f17616]) ).
fof(f42114,plain,
( spl0_25
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f42104,f25942,f25703]) ).
fof(f42225,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ spl0_184 ),
inference(resolution,[],[f26437,f25597]) ).
fof(f42227,plain,
( $false
| ~ spl0_184
| spl0_276 ),
inference(forward_subsumption_resolution,[],[f42225,f26868]) ).
fof(f42228,plain,
( ~ spl0_184
| spl0_276 ),
inference(avatar_contradiction_clause,[],[f42227]) ).
cnf(s290,plain,
( ~ spl0_183
| spl0_184 ),
inference(sat_conversion,[],[f27211]) ).
cnf(s601,plain,
( ~ spl0_25
| ~ spl0_276 ),
inference(sat_conversion,[],[f28826]) ).
cnf(s1255,plain,
spl0_183,
inference(sat_conversion,[],[f36569]) ).
cnf(s1262,plain,
spl0_77,
inference(sat_conversion,[],[f36701]) ).
cnf(s1288,plain,
( spl0_25
| ~ spl0_77 ),
inference(sat_conversion,[],[f42114]) ).
cnf(s1298,plain,
( ~ spl0_184
| spl0_276 ),
inference(sat_conversion,[],[f42228]) ).
cnf(s1299,plain,
spl0_25,
inference(rat,[],[s1288,s1262]) ).
cnf(s1370,plain,
~ spl0_276,
inference(rat,[],[s601,s1299]) ).
cnf(s1371,plain,
~ spl0_184,
inference(rat,[],[s1298,s1370]) ).
cnf(s1436,plain,
$false,
inference(rat,[],[s290,s1371,s1255]) ).
fof(f42229,plain,
$false,
inference(avatar_sat_refutation,[],[s1436]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR065+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n020.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 22:23:49 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.25 Running first-order model finding
% 0.09/0.25 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
% 1.95/0.68 % (642066)Will run a generic schedule for satisfiability detection.
% 1.95/0.68 % (642131)% WARNING: option uhcvi not known.
% 1.95/0.68 % (642131)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2276676496:i=135531:add=off:rawr=on_2998 on theBenchmark for (2998ds/135531Mi)
% 1.95/0.68 % (642130)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1943481967_2998 on theBenchmark for (2998ds/0Mi)
% 1.95/0.68 % (642133)dis+10_1_sil=32000:sp=arity:random_seed=1618207104:i=103:fgj=on_2998 on theBenchmark for (2998ds/103Mi)
% 1.95/0.68 % (642132)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1752279355:i=88024:add=on:rawr=on_2998 on theBenchmark for (2998ds/88024Mi)
% 1.95/0.68 % (642136)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2893820605:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2998 on theBenchmark for (2998ds/159Mi)
% 1.95/0.68 % (642134)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2341141350:i=116_2998 on theBenchmark for (2998ds/116Mi)
% 1.95/0.68 % (642135)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2139200437:i=131_2998 on theBenchmark for (2998ds/131Mi)
% 1.95/0.68 % (642133)Instruction limit reached!
% 1.95/0.68 % (642133)------------------------------
% 1.95/0.68 % (642133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.68 % (642133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.68 % (642133)CaDiCaL version: 2.1.3
% 1.95/0.68 % (642133)Termination reason: Instruction limit
% 1.95/0.68 % (642133)Termination phase: Saturation
% 1.95/0.68 % (642133)Time elapsed: 0.066 s
% 1.95/0.68 % (642133)Peak memory usage: 22 MB
% 1.95/0.68 % (642133)Instructions burned: 105 (million)
% 1.95/0.68 % (642134)Instruction limit reached!
% 1.95/0.68 % (642134)------------------------------
% 1.95/0.68 % (642134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.68 % (642134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.68 % (642134)CaDiCaL version: 2.1.3
% 1.95/0.68 % (642134)Termination reason: Instruction limit
% 1.95/0.68 % (642134)Termination phase: Blocked clause elimination
% 1.95/0.68 % (642134)Time elapsed: 0.083 s
% 1.95/0.68 % (642134)Peak memory usage: 24 MB
% 1.95/0.68 % (642134)Instructions burned: 117 (million)
% 1.95/0.68 % (642157)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=292807358:i=714:nm=2_2997 on theBenchmark for (2997ds/714Mi)
% 1.95/0.68 % (642135)Instruction limit reached!
% 1.95/0.68 % (642135)------------------------------
% 1.95/0.68 % (642135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.68 % (642135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.68 % (642135)CaDiCaL version: 2.1.3
% 1.95/0.68 % (642135)Termination reason: Instruction limit
% 1.95/0.68 % (642135)Termination phase: Saturation
% 1.95/0.68 % (642135)Time elapsed: 0.084 s
% 1.95/0.68 % (642135)Peak memory usage: 23 MB
% 1.95/0.68 % (642135)Instructions burned: 132 (million)
% 1.95/0.68 % (642136)Instruction limit reached!
% 1.95/0.68 % (642136)------------------------------
% 1.95/0.68 % (642136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.68 % (642136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.68 % (642136)CaDiCaL version: 2.1.3
% 1.95/0.68 % (642136)Termination reason: Instruction limit
% 1.95/0.68 % (642136)Termination phase: Saturation
% 1.95/0.68 % (642136)Time elapsed: 0.094 s
% 1.95/0.68 % (642136)Peak memory usage: 25 MB
% 1.95/0.68 % (642136)Instructions burned: 159 (million)
% 1.95/0.68 % (642163)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4048529579:i=131:bd=preordered:fsd=on_2997 on theBenchmark for (2997ds/131Mi)
% 1.95/0.68 % (642168)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=1807172041:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 1.95/0.68 % (642169)ott-21_1_sil=16000:fs=off:random_seed=3813477248:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 1.95/0.68 % (642163)Instruction limit reached!
% 1.95/0.68 % (642163)------------------------------
% 1.95/0.68 % (642163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.68 % (642163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.68 % (642163)CaDiCaL version: 2.1.3
% 1.95/0.68 % (642163)Termination reason: Instruction limit
% 1.95/0.70 % (642163)Termination phase: Blocked clause elimination
% 1.95/0.70 % (642163)Time elapsed: 0.103 s
% 1.95/0.70 % (642163)Peak memory usage: 23 MB
% 1.95/0.70 % (642163)Instructions burned: 131 (million)
% 1.95/0.70 % (642131) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-642066-642131"...
% 1.95/0.70 % (642169)Instruction limit reached!
% 1.95/0.70 % (642169)------------------------------
% 1.95/0.70 % (642169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.70 % (642169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.70 % (642169)CaDiCaL version: 2.1.3
% 1.95/0.70 % (642169)Termination reason: Instruction limit
% 1.95/0.70 % (642169)Termination phase: Saturation
% 1.95/0.70 % (642169)Time elapsed: 0.108 s
% 1.95/0.70 % (642169)Peak memory usage: 24 MB
% 1.95/0.70 % (642169)Instructions burned: 181 (million)
% 1.95/0.70 % (642131)...printing done.
% 1.95/0.70 % (642131)Refutation found. Thanks to Tanya!
% 1.95/0.70 % SZS status Theorem for theBenchmark
% 1.95/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 1.95/0.70 % (642131)------------------------------
% 1.95/0.70 % (642131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.70 % (642131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.70 % (642131)CaDiCaL version: 2.1.3
% 1.95/0.70 % (642131)Termination reason: Refutation
% 1.95/0.70 % (642131)Time elapsed: 0.231 s
% 1.95/0.70 % (642131)Peak memory usage: 35 MB
% 1.95/0.70 % (642131)Instructions burned: 657 (million)
% 1.95/0.70 % (642066)Success in time 0.426 s
% 1.95/0.70 % Vampire exiting
%------------------------------------------------------------------------------