%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR068+1 : 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 : n009.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 09:44:53 AM UTC 2026
% Result : Theorem 0.11s 0.23s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 14 unt; 2 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 25 ~; 22 |; 3 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).
fof(f8,axiom,
furpelt(c_theprototypicalfurpelt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).
fof(f9,axiom,
! [X0] :
( ( mtvisible(c_tptp_spindleheadmt)
& furpelt(X0) )
=> tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
fof(f47,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just47) ).
fof(f56,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query68) ).
fof(f57,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f78,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f79,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X0) ),
inference(flattening,[],[f78]) ).
fof(f100,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f101,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f100]) ).
fof(f110,plain,
( ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
& mtvisible(c_tptp_member2356_mt) ),
inference(ennf_transformation,[],[f57]) ).
fof(f117,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f7]) ).
fof(f118,plain,
furpelt(c_theprototypicalfurpelt),
inference(cnf_transformation,[],[f8]) ).
fof(f119,plain,
! [X0] :
( ~ furpelt(X0)
| ~ mtvisible(c_tptp_spindleheadmt)
| tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f137,plain,
! [X0,X1] :
( ~ mtvisible(X0)
| ~ genlmt(X0,X1)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f146,plain,
mtvisible(c_tptp_member2356_mt),
inference(cnf_transformation,[],[f110]) ).
fof(f147,plain,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(cnf_transformation,[],[f110]) ).
fof(f148,plain,
~ furpelt(c_theprototypicalfurpelt),
inference(consistent_polarity_flipping,[],[f118]) ).
fof(f149,plain,
! [X0] :
( furpelt(X0)
| ~ mtvisible(c_tptp_spindleheadmt)
| tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
inference(consistent_polarity_flipping,[],[f119]) ).
fof(f166,definition,
( spl0_1
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f170,definition,
( spl0_2
<=> ! [X0] :
( furpelt(X0)
| tptpofobject(X0,f_tptpquantityfn_1(n_328)) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f171,plain,
( ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| furpelt(X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f172,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f149,f170,f166]) ).
fof(f191,plain,
! [X0] :
( ~ genlmt(c_tptp_member2356_mt,X0)
| mtvisible(X0) ),
inference(resolution,[],[f137,f146]) ).
fof(f201,plain,
mtvisible(c_tptp_spindleheadmt),
inference(resolution,[],[f191,f117]) ).
fof(f205,plain,
spl0_1,
inference(avatar_split_clause,[],[f201,f166]) ).
fof(f207,plain,
( furpelt(c_theprototypicalfurpelt)
| ~ spl0_2 ),
inference(resolution,[],[f171,f147]) ).
fof(f208,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f207,f148]) ).
fof(f209,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f208]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f172]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f205]) ).
cnf(s4,plain,
~ spl0_2,
inference(sat_conversion,[],[f209]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
fof(f210,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR068+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.16 % Computer : n009.cluster.edu
% 0.11/0.16 % Model : x86_64 x86_64
% 0.11/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16 % Memory : 8046.5625MB
% 0.11/0.16 % OS : Linux 6.8.0-71-generic
% 0.11/0.16 % CPULimit : 300
% 0.11/0.16 % WCLimit : 300
% 0.11/0.16 % DateTime : Mon Sep 28 22:24:00 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.20 Running first-order model finding
% 0.11/0.20 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
% 0.11/0.23 % (3567436)Will run a generic schedule for satisfiability detection.
% 0.11/0.23 % (3567442)% WARNING: option uhcvi not known.
% 0.11/0.23 % (3567442)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=433714973:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.23 % (3567442) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3567436-3567442"...
% 0.11/0.23 % (3567442)...printing done.
% 0.11/0.23 % (3567442)Refutation found. Thanks to Tanya!
% 0.11/0.23 % SZS status Theorem for theBenchmark
% 0.11/0.23 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.23 % (3567442)------------------------------
% 0.11/0.23 % (3567442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.23 % (3567442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.23 % (3567442)CaDiCaL version: 2.1.3
% 0.11/0.23 % (3567442)Termination reason: Refutation
% 0.11/0.23 % (3567442)Time elapsed: 0.001 s
% 0.11/0.23 % (3567442)Peak memory usage: 12 MB
% 0.11/0.23 % (3567442)Instructions burned: 2 (million)
% 0.11/0.23 % (3567436)Success in time 0.025 s
% 0.11/0.23 % Vampire exiting
%------------------------------------------------------------------------------