%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR068+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 : n003.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 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 13 unt; 2 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 26 ~; 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 : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f80,axiom,
! [X0] :
( ( mtvisible(c_tptp_spindleheadmt)
& furpelt(X0) )
=> tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_80) ).
fof(f260,axiom,
furpelt(c_theprototypicalfurpelt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_260) ).
fof(f446,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_446) ).
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_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query118) ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1263,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f1264,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X0) ),
inference(flattening,[],[f1263]) ).
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_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
& mtvisible(c_tptp_member2356_mt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f2101,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X0) ),
inference(cnf_transformation,[],[f1264]) ).
fof(f2281,plain,
furpelt(c_theprototypicalfurpelt),
inference(cnf_transformation,[],[f260]) ).
fof(f2466,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f446]) ).
fof(f3053,plain,
! [X0,X1] :
( ~ mtvisible(X0)
| mtvisible(X1)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f2013]) ).
fof(f3062,plain,
mtvisible(c_tptp_member2356_mt),
inference(cnf_transformation,[],[f2022]) ).
fof(f3063,plain,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(cnf_transformation,[],[f2022]) ).
fof(f3142,definition,
( spl0_18
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f3144,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| spl0_18 ),
inference(avatar_component_clause,[],[f3142]) ).
fof(f3373,definition,
( spl0_68
<=> ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ furpelt(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f3374,plain,
( ! [X0] :
( ~ furpelt(X0)
| tptpofobject(X0,f_tptpquantityfn_1(n_328)) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f3373]) ).
fof(f3375,plain,
( ~ spl0_18
| spl0_68 ),
inference(avatar_split_clause,[],[f2101,f3373,f3142]) ).
fof(f4501,plain,
! [X0] :
( ~ genlmt(c_tptp_member2356_mt,X0)
| mtvisible(X0) ),
inference(resolution,[],[f3053,f3062]) ).
fof(f4502,plain,
mtvisible(c_tptp_spindleheadmt),
inference(resolution,[],[f4501,f2466]) ).
fof(f4503,plain,
( $false
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f4502,f3144]) ).
fof(f4504,plain,
spl0_18,
inference(avatar_contradiction_clause,[],[f4503]) ).
fof(f4528,plain,
( tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
| ~ spl0_68 ),
inference(resolution,[],[f3374,f2281]) ).
fof(f4529,plain,
( $false
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f4528,f3063]) ).
fof(f4530,plain,
~ spl0_68,
inference(avatar_contradiction_clause,[],[f4529]) ).
cnf(s49,plain,
( ~ spl0_18
| spl0_68 ),
inference(sat_conversion,[],[f3375]) ).
cnf(s54,plain,
spl0_18,
inference(sat_conversion,[],[f4504]) ).
cnf(s55,plain,
~ spl0_68,
inference(sat_conversion,[],[f4530]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s49,s55,s54]) ).
fof(f4531,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR068+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n003.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 22:25:42 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.21/0.29 % (2103368)Will run a generic schedule for satisfiability detection.
% 0.21/0.29 % (2103375)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4206420762:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.29 % (2103374)% WARNING: option uhcvi not known.
% 0.21/0.29 % (2103373)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4079560917_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.29 % (2103376)dis+10_1_sil=32000:sp=arity:random_seed=2892851832:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.29 % (2103374)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3164680997:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.29 % (2103377)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=160777668:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.29 % (2103378)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=404719257:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.29 % (2103379)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1216848425:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.29 % TRYING [1]
% 0.21/0.29 % (2103378) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2103368-2103378"...
% 0.21/0.29 % TRYING [2]
% 0.21/0.29 % (2103378)...printing done.
% 0.21/0.29 % (2103378)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Theorem for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.29 % (2103378)------------------------------
% 0.21/0.29 % (2103378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (2103378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (2103378)CaDiCaL version: 2.1.3
% 0.21/0.29 % (2103378)Termination reason: Refutation
% 0.21/0.29 % (2103378)Time elapsed: 0.028 s
% 0.21/0.29 % (2103378)Peak memory usage: 15 MB
% 0.21/0.29 % (2103378)Instructions burned: 49 (million)
% 0.21/0.29 % (2103368)Success in time 0.072 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------