%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM695_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 12:25:24 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
nat: $tType ).
tff(func_def_0,type,
x: nat ).
tff(func_def_1,type,
suc: nat > nat ).
tff(func_def_2,type,
n_1: nat ).
tff(func_def_3,type,
pl: ( nat * nat ) > nat ).
tff(func_def_6,type,
sK0: nat > nat ).
tff(pred_def_1,type,
more: ( nat * nat ) > $o ).
tff(f4,axiom,
! [X0: nat,X1: nat] : more(pl(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz18) ).
tff(f5,axiom,
! [X0: nat] : ( suc(X0) = pl(n_1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz4g) ).
tff(f6,conjecture,
more(suc(x),n_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz24b) ).
tff(f7,negated_conjecture,
~ more(suc(x),n_1),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f11,plain,
~ more(suc(x),n_1),
inference(flattening,[],[f7]) ).
tff(f18,plain,
! [X0: nat,X1: nat] : more(pl(X0,X1),X0),
inference(cnf_transformation,[],[f4]) ).
tff(f19,plain,
! [X0: nat] : ( suc(X0) = pl(n_1,X0) ),
inference(cnf_transformation,[],[f5]) ).
tff(f20,plain,
~ more(suc(x),n_1),
inference(cnf_transformation,[],[f11]) ).
tff(f25,plain,
~ more(pl(n_1,x),n_1),
inference(definition_unfolding,[],[f20,f19]) ).
tff(f27,plain,
! [X0: nat,X1: nat] : ~ more(pl(X0,X1),X0),
inference(consistent_polarity_flipping,[],[f18]) ).
tff(f28,plain,
more(pl(n_1,x),n_1),
inference(consistent_polarity_flipping,[],[f25]) ).
tff(f29,plain,
$false,
inference(resolution,[],[f27,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM695_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 21:07:01 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.11/0.45 % (1166970)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (1166981)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3932292405:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (1166981) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1166970-1166981"...
% 0.11/0.45 % (1166981)...printing done.
% 0.11/0.45 % (1166981)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (1166981)------------------------------
% 0.11/0.45 % (1166981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (1166981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (1166981)CaDiCaL version: 2.1.3
% 0.11/0.45 % (1166981)Termination reason: Refutation
% 0.11/0.45 % (1166981)Time elapsed: 0.001 s
% 0.11/0.45 % (1166981)Peak memory usage: 12 MB
% 0.11/0.45 % (1166970)Success in time 0.028 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------