%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR065+1 : 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 : 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 09:42:31 AM UTC 2026
% Result : Theorem 5.77s 1.79s
% Output : Refutation 5.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% 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/sandbox2/benchmark/theBenchmark.p',just5) ).
fof(f6,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_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,
( mtvisible(c_cyclistsmt)
=> ridgeline_topographical(c_tptpridgeline_topographical) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
fof(f10,axiom,
! [X0] :
( ( mtvisible(c_tptp_member235_mt)
& ridgeline_topographical(X0) )
=> tptpofobject(X0,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).
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_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query65) ).
fof(f58,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f79,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f9]) ).
fof(f80,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ mtvisible(c_tptp_member235_mt)
| ~ ridgeline_topographical(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f81,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ mtvisible(c_tptp_member235_mt)
| ~ ridgeline_topographical(X0) ),
inference(flattening,[],[f80]) ).
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_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
& 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_member235_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,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f79]) ).
fof(f122,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ mtvisible(c_tptp_member235_mt)
| ~ ridgeline_topographical(X0) ),
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_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
inference(cnf_transformation,[],[f112]) ).
fof(f152,definition,
( spl0_1
<=> mtvisible(c_tptp_member235_mt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f154,plain,
( ~ mtvisible(c_tptp_member235_mt)
| spl0_1 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f156,definition,
( spl0_2
<=> ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f157,plain,
( ! [X0] :
( ~ ridgeline_topographical(X0)
| tptpofobject(X0,f_tptpquantityfn_13(n_468)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f158,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f122,f156,f152]) ).
fof(f160,definition,
( spl0_3
<=> mtvisible(c_cyclistsmt) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f162,plain,
( ~ mtvisible(c_cyclistsmt)
| spl0_3 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f164,definition,
( spl0_4
<=> ridgeline_topographical(c_tptpridgeline_topographical) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f166,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f167,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f121,f164,f160]) ).
fof(f168,plain,
( ! [X0] :
( ~ genlmt(X0,c_tptp_member235_mt)
| ~ mtvisible(X0) )
| spl0_1 ),
inference(resolution,[],[f140,f154]) ).
fof(f169,plain,
( ! [X0] :
( ~ genlmt(X0,c_cyclistsmt)
| ~ mtvisible(X0) )
| spl0_3 ),
inference(resolution,[],[f140,f162]) ).
fof(f171,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| spl0_1 ),
inference(resolution,[],[f168,f118]) ).
fof(f172,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f171,f149]) ).
fof(f173,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f172]) ).
fof(f175,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| spl0_3 ),
inference(resolution,[],[f169,f117]) ).
fof(f177,plain,
( ! [X0] :
( ~ genlmt(X0,c_tptp_spindleheadmt)
| ~ mtvisible(X0) )
| spl0_3 ),
inference(resolution,[],[f175,f140]) ).
fof(f186,plain,
( ~ mtvisible(c_tptp_member3993_mt)
| spl0_3 ),
inference(resolution,[],[f177,f119]) ).
fof(f187,plain,
( ! [X0] :
( ~ genlmt(X0,c_tptp_member3993_mt)
| ~ mtvisible(X0) )
| spl0_3 ),
inference(resolution,[],[f186,f140]) ).
fof(f200,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| spl0_3 ),
inference(resolution,[],[f187,f120]) ).
fof(f201,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f200,f149]) ).
fof(f202,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f201]) ).
fof(f203,plain,
( tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f166,f157]) ).
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,[],[f158]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f167]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f173]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f202]) ).
cnf(s5,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f206]) ).
cnf(s6,plain,
spl0_4,
inference(rat,[],[s2,s4]) ).
cnf(s7,plain,
~ spl0_2,
inference(rat,[],[s5,s6]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s7,s3]) ).
fof(f207,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR065+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.28 % Computer : n013.cluster.edu
% 0.24/0.28 % Model : x86_64 x86_64
% 0.24/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.28 % Memory : 8046.5625MB
% 0.24/0.28 % OS : Linux 6.8.0-71-generic
% 0.24/0.28 % CPULimit : 300
% 0.24/0.28 % WCLimit : 300
% 0.24/0.28 % DateTime : Mon Sep 28 22:22:06 UTC 2026
% 0.24/0.28 % CPUTime :
% 0.24/0.29 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.32 Running first-order theorem proving
% 0.24/0.32 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
% 5.77/1.78 % (1653728)Detected formulas, will run a generic FOF schedule.
% 5.77/1.78 % (1653736)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1986911685:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.77/1.78 % (1653737)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=121189041:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.77/1.78 % (1653736)Refutation not found, incomplete strategy
% 5.77/1.78 % (1653736)------------------------------
% 5.77/1.78 % (1653736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.78 % (1653736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.78 % (1653736)CaDiCaL version: 2.1.3
% 5.77/1.78 % (1653736)Termination reason: Refutation not found, incomplete strategy
% 5.77/1.78 % (1653736)Time elapsed: 0.001 s
% 5.77/1.78 % (1653736)Peak memory usage: 88 MB
% 5.77/1.78 % (1653737)Instruction limit reached!
% 5.77/1.78 % (1653737)------------------------------
% 5.77/1.78 % (1653737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.78 % (1653737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.79 % (1653737)CaDiCaL version: 2.1.3
% 5.77/1.79 % (1653737)Termination reason: Instruction limit
% 5.77/1.79 % (1653737)Termination phase: Saturation
% 5.77/1.79 % (1653737)Time elapsed: 0.050 s
% 5.77/1.79 % (1653737)Peak memory usage: 87 MB
% 5.77/1.79 % (1653737)Instructions burned: 120 (million)
% 5.77/1.79 % (1653735)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=3354366017:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.77/1.79 % (1653733)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=2472627959:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.77/1.79 % (1653734)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=3237136996:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.77/1.79 % (1653738)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=736446944:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.77/1.79 % (1653738)First to succeed.
% 5.77/1.79 % (1653738)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1653728"
% 5.77/1.79 % (1653739)dis-21_1_sil=8000:lcm=predicate:random_seed=4289655711: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)
% 5.77/1.79 % (1653739)Also succeeded, but the first one will report.
% 5.77/1.79 % (1653736)------------------------------
% 5.77/1.79 % (1653736)------------------------------
% 5.77/1.79 % (1653742)lrs+10_1_sil=8000:sp=occurrence:random_seed=949442054:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.77/1.79 % (1653742)Also succeeded, but the first one will report.
% 5.77/1.79 % (1653748)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1533150188:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 5.77/1.79 % (1653748)Refutation not found, incomplete strategy
% 5.77/1.79 % (1653748)------------------------------
% 5.77/1.79 % (1653748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.79 % (1653748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.79 % (1653748)CaDiCaL version: 2.1.3
% 5.77/1.79 % (1653748)Termination reason: Refutation not found, incomplete strategy
% 5.77/1.79 % (1653748)Time elapsed: 0.002 s
% 5.77/1.79 % (1653748)Peak memory usage: 88 MB
% 5.77/1.79 % (1653748)Instructions burned: 1 (million)
% 5.77/1.79 % (1653738)Refutation found. Thanks to Tanya!
% 5.77/1.79 % SZS status Theorem for theBenchmark
% 5.77/1.79 % SZS output start Proof for theBenchmark
% See solution above
% 5.77/1.79 % (1653738)------------------------------
% 5.77/1.79 % (1653738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.79 % (1653738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.79 % (1653738)CaDiCaL version: 2.1.3
% 5.77/1.79 % (1653738)Termination reason: Refutation
% 5.77/1.79 % (1653738)Time elapsed: 0.006 s
% 5.77/1.79 % (1653738)Peak memory usage: 89 MB
% 5.77/1.79 % (1653738)Instructions burned: 4 (million)
% 5.77/1.79 % (1653738)------------------------------
% 5.77/1.79 % (1653738)------------------------------
% 5.77/1.79 % (1653728)Success in time 0.712 s
% 5.77/1.79 % Vampire exiting
%------------------------------------------------------------------------------