%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% 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 09:44:23 AM UTC 2026
% Result : Theorem 0.22s 0.34s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 57 ( 22 unt; 5 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 86 ( 40 ~; 33 |; 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 : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f163,axiom,
( mtvisible(c_cyclistsmt)
=> runningshorts(c_tptprunningshorts) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_163) ).
fof(f254,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_254) ).
fof(f315,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_315) ).
fof(f344,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_344) ).
fof(f364,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',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/Axioms/CSR002+1.ax',ax1_440) ).
fof(f1123,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',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(f1304,plain,
( runningshorts(c_tptprunningshorts)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f163]) ).
fof(f1432,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ mtvisible(c_tptp_member2701_mt)
| ~ runningshorts(X0) ),
inference(ennf_transformation,[],[f440]) ).
fof(f1433,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ mtvisible(c_tptp_member2701_mt)
| ~ runningshorts(X0) ),
inference(flattening,[],[f1432]) ).
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_tptprunningshorts,f_tptpquantityfn_2(n_756))
& mtvisible(c_tptp_spindlecollectormt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f2184,plain,
( runningshorts(c_tptprunningshorts)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f1304]) ).
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(f2364,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
inference(cnf_transformation,[],[f344]) ).
fof(f2384,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(cnf_transformation,[],[f364]) ).
fof(f2460,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ mtvisible(c_tptp_member2701_mt)
| ~ runningshorts(X0) ),
inference(cnf_transformation,[],[f1433]) ).
fof(f3053,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f2013]) ).
fof(f3062,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f2022]) ).
fof(f3063,plain,
~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),
inference(cnf_transformation,[],[f2022]) ).
fof(f3124,definition,
( spl0_14
<=> mtvisible(c_cyclistsmt) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f3142,definition,
( spl0_18
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f3151,definition,
( spl0_20
<=> mtvisible(c_tptp_member2701_mt) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f3160,definition,
( spl0_22
<=> ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ runningshorts(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f3161,plain,
( ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ runningshorts(X0) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f3160]) ).
fof(f3162,plain,
( ~ spl0_20
| spl0_22 ),
inference(avatar_split_clause,[],[f2460,f3160,f3151]) ).
fof(f3290,definition,
( spl0_50
<=> runningshorts(c_tptprunningshorts) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f3292,plain,
( runningshorts(c_tptprunningshorts)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f3290]) ).
fof(f3293,plain,
( ~ spl0_14
| spl0_50 ),
inference(avatar_split_clause,[],[f2184,f3290,f3124]) ).
fof(f5267,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member3993_mt) ),
inference(resolution,[],[f3053,f2384]) ).
fof(f5268,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member2701_mt) ),
inference(resolution,[],[f3053,f2364]) ).
fof(f5274,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| mtvisible(c_cyclistsmt) ),
inference(resolution,[],[f3053,f2275]) ).
fof(f5319,plain,
( ~ mtvisible(c_tptp_member3993_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[],[f3053,f2335]) ).
fof(f5482,plain,
mtvisible(c_tptp_member2701_mt),
inference(forward_subsumption_resolution,[],[f5268,f3062]) ).
fof(f5483,plain,
mtvisible(c_tptp_member3993_mt),
inference(forward_subsumption_resolution,[],[f5267,f3062]) ).
fof(f5560,plain,
spl0_20,
inference(avatar_split_clause,[],[f5482,f3151]) ).
fof(f7162,plain,
mtvisible(c_tptp_spindleheadmt),
inference(forward_subsumption_resolution,[],[f5319,f5483]) ).
fof(f7204,plain,
spl0_18,
inference(avatar_split_clause,[],[f7162,f3142]) ).
fof(f7213,plain,
( spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f5274,f3142,f3124]) ).
fof(f7263,plain,
( ~ runningshorts(c_tptprunningshorts)
| ~ spl0_22 ),
inference(resolution,[],[f3161,f3063]) ).
fof(f7265,plain,
( $false
| ~ spl0_22
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f7263,f3292]) ).
fof(f7266,plain,
( ~ spl0_22
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f7265]) ).
cnf(s13,plain,
( ~ spl0_20
| spl0_22 ),
inference(sat_conversion,[],[f3162]) ).
cnf(s36,plain,
( ~ spl0_14
| spl0_50 ),
inference(sat_conversion,[],[f3293]) ).
cnf(s173,plain,
spl0_20,
inference(sat_conversion,[],[f5560]) ).
cnf(s208,plain,
spl0_18,
inference(sat_conversion,[],[f7204]) ).
cnf(s214,plain,
( spl0_14
| ~ spl0_18 ),
inference(sat_conversion,[],[f7213]) ).
cnf(s228,plain,
( ~ spl0_22
| ~ spl0_50 ),
inference(sat_conversion,[],[f7266]) ).
cnf(s229,plain,
spl0_14,
inference(rat,[],[s214,s208]) ).
cnf(s268,plain,
spl0_50,
inference(rat,[],[s36,s229]) ).
cnf(s269,plain,
~ spl0_22,
inference(rat,[],[s228,s268]) ).
cnf(s288,plain,
$false,
inference(rat,[],[s13,s269,s173]) ).
fof(f7267,plain,
$false,
inference(avatar_sat_refutation,[],[s288]) ).
%------------------------------------------------------------------------------
%----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 SAT
% 0.13/0.19 % Computer : n002.cluster.edu
% 0.13/0.19 % Model : x86_64 x86_64
% 0.13/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.19 % Memory : 8046.5625MB
% 0.13/0.19 % OS : Linux 6.8.0-71-generic
% 0.13/0.19 % CPULimit : 300
% 0.13/0.19 % WCLimit : 300
% 0.13/0.19 % DateTime : Mon Sep 28 22:09:22 UTC 2026
% 0.13/0.19 % CPUTime :
% 0.13/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.22 Running first-order model finding
% 0.13/0.22 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
% 0.22/0.34 % (831632)Will run a generic schedule for satisfiability detection.
% 0.22/0.34 % (831639)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=515759493:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.34 % (831638)% WARNING: option uhcvi not known.
% 0.22/0.34 % (831637)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4044564613_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.34 % (831638)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2348444863:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.34 % (831640)dis+10_1_sil=32000:sp=arity:random_seed=1555458803:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.34 % (831642)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=154149155:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.34 % (831641)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3633471038:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.34 % (831643)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4120751181:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.34 % TRYING [1]
% 0.22/0.34 % TRYING [2]
% 0.22/0.34 % TRYING [3]
% 0.22/0.34 % (831640) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-831632-831640"...
% 0.22/0.34 % TRYING [4]
% 0.22/0.34 % (831640)...printing done.
% 0.22/0.34 % (831640)Refutation found. Thanks to Tanya!
% 0.22/0.34 % SZS status Theorem for theBenchmark
% 0.22/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.34 % (831640)------------------------------
% 0.22/0.34 % (831640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (831640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (831640)CaDiCaL version: 2.1.3
% 0.22/0.34 % (831640)Termination reason: Refutation
% 0.22/0.34 % (831640)Time elapsed: 0.050 s
% 0.22/0.34 % (831640)Peak memory usage: 16 MB
% 0.22/0.34 % (831640)Instructions burned: 94 (million)
% 0.22/0.34 % (831632)Success in time 0.105 s
% 0.22/0.34 % Vampire exiting
%------------------------------------------------------------------------------