TSTP Solution File: ARI090_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI090_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:45:24 EDT 2022
% Result : Theorem 0.22s 0.51s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 4 unt; 1 typ; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 44 ( 0 atm; 14 fun; 25 num; 5 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 3 !; 2 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
sK0: $int ).
tff(f10,plain,
$false,
inference(subsumption_resolution,[],[f9,f7]) ).
tff(f7,plain,
2 != sK0,
inference(cnf_transformation,[],[f6]) ).
tff(f6,plain,
( ( $sum(5,$uminus(3)) = sK0 )
& ( 2 != sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).
tff(f5,plain,
( ? [X0: $int] :
( ( $sum(5,$uminus(3)) = X0 )
& ( 2 != X0 ) )
=> ( ( $sum(5,$uminus(3)) = sK0 )
& ( 2 != sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f4,plain,
? [X0: $int] :
( ( $sum(5,$uminus(3)) = X0 )
& ( 2 != X0 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $int] :
( ( $sum(5,$uminus(3)) = X0 )
=> ( 2 = X0 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $difference(5,3) = X0 )
=> ( 2 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( ( $difference(5,3) = X0 )
=> ( 2 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_5_3_only_2) ).
tff(f9,plain,
2 = sK0,
inference(evaluation,[],[f8]) ).
tff(f8,plain,
$sum(5,$uminus(3)) = sK0,
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : ARI090=1 : TPTP v8.1.0. Released v5.0.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 29 15:35:20 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.22/0.51 % (2635)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.22/0.51 % (2635)First to succeed.
% 0.22/0.51 % (2635)Refutation found. Thanks to Tanya!
% 0.22/0.51 % SZS status Theorem for theBenchmark
% 0.22/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.51 % (2635)------------------------------
% 0.22/0.51 % (2635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.51 % (2635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.51 % (2635)Termination reason: Refutation
% 0.22/0.51
% 0.22/0.51 % (2635)Memory used [KB]: 5373
% 0.22/0.51 % (2635)Time elapsed: 0.090 s
% 0.22/0.51 % (2635)Instructions burned: 2 (million)
% 0.22/0.51 % (2635)------------------------------
% 0.22/0.51 % (2635)------------------------------
% 0.22/0.51 % (2621)Success in time 0.139 s
%------------------------------------------------------------------------------