%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT059_1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 09:48:03 AM UTC 2026
% Result : Theorem 0.22s 0.28s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 5 ( 0 atm; 0 fun; 0 num; 5 var)
% Number of types : 3 ( 2 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 20 ( 16 !; 4 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
data: $tType ).
tff(type_def_6,type,
array: $tType ).
tff(func_def_0,type,
mkarray: array ).
tff(func_def_1,type,
none: data ).
tff(func_def_2,type,
put: ( array * $int * data ) > array ).
tff(func_def_3,type,
get: ( array * $int ) > data ).
tff(func_def_4,type,
sK0: ( array * array ) > $int ).
tff(func_def_5,type,
sK1: data ).
tff(func_def_6,type,
sK2: array ).
tff(func_def_7,type,
sK3: $int ).
tff(func_def_8,type,
sK4: data ).
tff(f4,axiom,
! [X0: data,X1: array,X2: $int,X3: data] : ( put(put(X1,X2,X0),X2,X3) = put(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT004_0.ax',ax_20) ).
tff(f6,conjecture,
! [X0: data,X1: array,X2: $int,X3: data] : ( put(put(X1,X2,X0),X2,X3) = put(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',th_lem_5) ).
tff(f7,negated_conjecture,
~ ! [X0: data,X1: array,X2: $int,X3: data] : ( put(put(X1,X2,X0),X2,X3) = put(X1,X2,X3) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f9,plain,
? [X0: data,X1: array,X2: $int,X3: data] : ( put(put(X1,X2,X0),X2,X3) != put(X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
tff(f13,plain,
! [X2: $int,X3: data,X0: data,X1: array] : ( put(put(X1,X2,X0),X2,X3) = put(X1,X2,X3) ),
inference(cnf_transformation,[],[f4]) ).
tff(f16,plain,
put(put(sK2,sK3,sK1),sK3,sK4) != put(sK2,sK3,sK4),
inference(cnf_transformation,[],[f9]) ).
tff(f19,plain,
put(sK2,sK3,sK4) != put(sK2,sK3,sK4),
inference(superposition,[],[f16,f13]) ).
tff(f21,plain,
$false,
inference(trivial_inequality_removal,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT059_1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n008.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 00:08:09 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.24 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
% 0.22/0.28 % (2781554)Will run a generic schedule for satisfiability detection.
% 0.22/0.28 % (2781569)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3491552994:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.28 % (2781569) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2781554-2781569"...
% 0.22/0.28 % (2781569)...printing done.
% 0.22/0.28 % (2781569)Refutation found. Thanks to Tanya!
% 0.22/0.28 % SZS status Theorem for theBenchmark
% 0.22/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.28 % (2781569)------------------------------
% 0.22/0.28 % (2781569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (2781569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (2781569)CaDiCaL version: 2.1.3
% 0.22/0.28 % (2781569)Termination reason: Refutation
% 0.22/0.28 % (2781569)Time elapsed: 0.001 s
% 0.22/0.28 % (2781569)Peak memory usage: 12 MB
% 0.22/0.28 % (2781569)Instructions burned: 1 (million)
% 0.22/0.28 % (2781554)Success in time 0.036 s
% 0.22/0.28 % Vampire exiting
%------------------------------------------------------------------------------