%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR065+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 0.27s 0.38s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 64 ( 22 unt; 5 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 102 ( 46 ~; 43 |; 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 : 17 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
( mtvisible(c_cyclistsmt)
=> ridgeline_topographical(c_tptpridgeline_topographical) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_25) ).
fof(f105,axiom,
! [X0] :
( ( mtvisible(c_tptp_member235_mt)
& ridgeline_topographical(X0) )
=> tptpofobject(X0,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_105) ).
fof(f254,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_254) ).
fof(f315,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_315) ).
fof(f364,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_364) ).
fof(f419,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_419) ).
fof(f1123,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).
fof(f1132,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query115) ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1238,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f25]) ).
fof(f1275,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ mtvisible(c_tptp_member235_mt)
| ~ ridgeline_topographical(X0) ),
inference(ennf_transformation,[],[f105]) ).
fof(f1276,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ mtvisible(c_tptp_member235_mt)
| ~ ridgeline_topographical(X0) ),
inference(flattening,[],[f1275]) ).
fof(f2012,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f1123]) ).
fof(f2013,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f2012]) ).
fof(f2022,plain,
( ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
& mtvisible(c_tptp_spindlecollectormt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f2047,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f1238]) ).
fof(f2126,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ mtvisible(c_tptp_member235_mt)
| ~ ridgeline_topographical(X0) ),
inference(cnf_transformation,[],[f1276]) ).
fof(f2275,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f254]) ).
fof(f2335,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f315]) ).
fof(f2384,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(cnf_transformation,[],[f364]) ).
fof(f2439,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
inference(cnf_transformation,[],[f419]) ).
fof(f3053,plain,
! [X0,X1] :
( ~ mtvisible(X0)
| mtvisible(X1)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f2013]) ).
fof(f3062,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f2022]) ).
fof(f3063,plain,
~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
inference(cnf_transformation,[],[f2022]) ).
fof(f3124,definition,
( spl0_14
<=> mtvisible(c_cyclistsmt) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f3126,plain,
( ~ mtvisible(c_cyclistsmt)
| spl0_14 ),
inference(avatar_component_clause,[],[f3124]) ).
fof(f3142,definition,
( spl0_18
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f3143,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f3142]) ).
fof(f3144,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| spl0_18 ),
inference(avatar_component_clause,[],[f3142]) ).
fof(f3332,definition,
( spl0_59
<=> mtvisible(c_tptp_member235_mt) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f3334,plain,
( ~ mtvisible(c_tptp_member235_mt)
| spl0_59 ),
inference(avatar_component_clause,[],[f3332]) ).
fof(f3341,definition,
( spl0_61
<=> ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f3342,plain,
( ! [X0] :
( ~ ridgeline_topographical(X0)
| tptpofobject(X0,f_tptpquantityfn_13(n_468)) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f3341]) ).
fof(f3343,plain,
( ~ spl0_59
| spl0_61 ),
inference(avatar_split_clause,[],[f2126,f3341,f3332]) ).
fof(f3391,definition,
( spl0_72
<=> ridgeline_topographical(c_tptpridgeline_topographical) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f3393,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f3391]) ).
fof(f3394,plain,
( ~ spl0_14
| spl0_72 ),
inference(avatar_split_clause,[],[f2047,f3391,f3124]) ).
fof(f4497,plain,
! [X0] :
( ~ genlmt(c_tptp_spindlecollectormt,X0)
| mtvisible(X0) ),
inference(resolution,[],[f3053,f3062]) ).
fof(f4504,plain,
mtvisible(c_tptp_member235_mt),
inference(resolution,[],[f4497,f2439]) ).
fof(f4507,plain,
mtvisible(c_tptp_member3993_mt),
inference(resolution,[],[f4497,f2384]) ).
fof(f4518,plain,
( $false
| spl0_59 ),
inference(forward_subsumption_resolution,[],[f4504,f3334]) ).
fof(f4519,plain,
spl0_59,
inference(avatar_contradiction_clause,[],[f4518]) ).
fof(f4525,plain,
! [X0] :
( ~ genlmt(c_tptp_member3993_mt,X0)
| mtvisible(X0) ),
inference(resolution,[],[f4507,f3053]) ).
fof(f4527,plain,
mtvisible(c_tptp_spindleheadmt),
inference(resolution,[],[f4525,f2335]) ).
fof(f4528,plain,
( $false
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f4527,f3144]) ).
fof(f4529,plain,
spl0_18,
inference(avatar_contradiction_clause,[],[f4528]) ).
fof(f4530,plain,
( ! [X0] :
( ~ genlmt(c_tptp_spindleheadmt,X0)
| mtvisible(X0) )
| ~ spl0_18 ),
inference(resolution,[],[f3143,f3053]) ).
fof(f6606,plain,
( mtvisible(c_cyclistsmt)
| ~ spl0_18 ),
inference(resolution,[],[f4530,f2275]) ).
fof(f6607,plain,
( $false
| spl0_14
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f6606,f3126]) ).
fof(f6608,plain,
( spl0_14
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f6607]) ).
fof(f6614,plain,
( tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
| ~ spl0_61
| ~ spl0_72 ),
inference(resolution,[],[f3393,f3342]) ).
fof(f6616,plain,
( $false
| ~ spl0_61
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[],[f6614,f3063]) ).
fof(f6617,plain,
( ~ spl0_61
| ~ spl0_72 ),
inference(avatar_contradiction_clause,[],[f6616]) ).
cnf(s44,plain,
( ~ spl0_59
| spl0_61 ),
inference(sat_conversion,[],[f3343]) ).
cnf(s52,plain,
( ~ spl0_14
| spl0_72 ),
inference(sat_conversion,[],[f3394]) ).
cnf(s58,plain,
spl0_59,
inference(sat_conversion,[],[f4519]) ).
cnf(s61,plain,
spl0_18,
inference(sat_conversion,[],[f4529]) ).
cnf(s62,plain,
( spl0_14
| ~ spl0_18 ),
inference(sat_conversion,[],[f6608]) ).
cnf(s63,plain,
( ~ spl0_61
| ~ spl0_72 ),
inference(sat_conversion,[],[f6617]) ).
cnf(s64,plain,
spl0_14,
inference(rat,[],[s62,s61]) ).
cnf(s65,plain,
spl0_72,
inference(rat,[],[s52,s64]) ).
cnf(s66,plain,
~ spl0_61,
inference(rat,[],[s63,s65]) ).
cnf(s71,plain,
$false,
inference(rat,[],[s44,s66,s58]) ).
fof(f6618,plain,
$false,
inference(avatar_sat_refutation,[],[s71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR065+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 % Computer : n020.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 22:23:50 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.27 Running first-order model finding
% 0.09/0.27 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.27/0.38 % (642181)Will run a generic schedule for satisfiability detection.
% 0.27/0.38 % (642191)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=954295339:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.27/0.38 % (642186)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2007171441_2999 on theBenchmark for (2999ds/0Mi)
% 0.27/0.38 % (642187)% WARNING: option uhcvi not known.
% 0.27/0.38 % (642192)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3098183726:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.27/0.38 % (642190)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3050507561:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.27/0.38 % (642188)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3746405630:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.27/0.38 % (642187)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1885609866:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.27/0.38 % (642189)dis+10_1_sil=32000:sp=arity:random_seed=3203276494:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.27/0.38 % (642191) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-642181-642191"...
% 0.27/0.38 % TRYING [1]
% 0.27/0.38 % (642191)...printing done.
% 0.27/0.38 % (642191)Refutation found. Thanks to Tanya!
% 0.27/0.38 % SZS status Theorem for theBenchmark
% 0.27/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.38 % (642191)------------------------------
% 0.27/0.38 % (642191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.38 % (642191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.38 % (642191)CaDiCaL version: 2.1.3
% 0.27/0.38 % (642191)Termination reason: Refutation
% 0.27/0.38 % (642191)Time elapsed: 0.034 s
% 0.27/0.38 % (642191)Peak memory usage: 16 MB
% 0.27/0.38 % (642191)Instructions burned: 94 (million)
% 0.27/0.38 % (642181)Success in time 0.093 s
% 0.27/0.38 % Vampire exiting
%------------------------------------------------------------------------------