TSTP Solution File: ARI526_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI526_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 : n029.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 15:46:17 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 9 unt; 3 typ; 0 def)
% Number of atoms : 11 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 6 ~; 0 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of FOOLs : 2 ( 2 fml; 0 var)
% Number arithmetic : 57 ( 0 atm; 28 fun; 26 num; 3 var)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 0 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_3,type,
sQ0_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_4,type,
sQ1_eqProxy: ( $real * $real ) > $o ).
tff(pred_def_5,type,
sQ2_eqProxy: ( $int * $int ) > $o ).
tff(f67,plain,
$false,
inference(subsumption_resolution,[],[f66,f61]) ).
tff(f61,plain,
! [X0: $int] : sQ2_eqProxy(X0,X0),
inference(equality_proxy_axiom,[],[f43]) ).
tff(f43,plain,
! [X0: $int,X1: $int] :
( sQ2_eqProxy(X0,X1)
<=> ( X0 = X1 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ2_eqProxy])]) ).
tff(f66,plain,
~ sQ2_eqProxy(5,5),
inference(evaluation,[],[f44]) ).
tff(f44,plain,
~ sQ2_eqProxy(5,$to_int($sum($to_rat($sum(4.05,3.6)),$uminus(53/20)))),
inference(equality_proxy_replacement,[],[f27,f43]) ).
tff(f27,plain,
5 != $to_int($sum($to_rat($sum(4.05,3.6)),$uminus(53/20))),
inference(cnf_transformation,[],[f26]) ).
tff(f26,plain,
5 != $to_int($sum($to_rat($sum(4.05,3.6)),$uminus(53/20))),
inference(flattening,[],[f3]) ).
tff(f3,plain,
( ( ~ 5 )
= $to_int($sum($to_rat($sum(4.05,3.6)),$uminus(53/20))) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
( ( ~ $to_int($difference($to_rat($sum(4.05,3.6)),53/20)) )
= 5 ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
$to_int($difference($to_rat($sum(4.05,3.6)),53/20)) = 5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mixed_types_problem_31) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ARI526=1 : TPTP v8.1.0. Released v5.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 15:55:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 % (4826)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/43Mi)
% 0.19/0.47 % (4818)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.19/0.47 % (4826)First to succeed.
% 0.19/0.47 % (4826)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Theorem for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (4826)------------------------------
% 0.19/0.47 % (4826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (4826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (4826)Termination reason: Refutation
% 0.19/0.47
% 0.19/0.47 % (4826)Memory used [KB]: 5500
% 0.19/0.47 % (4826)Time elapsed: 0.005 s
% 0.19/0.47 % (4826)Instructions burned: 2 (million)
% 0.19/0.47 % (4826)------------------------------
% 0.19/0.47 % (4826)------------------------------
% 0.19/0.47 % (4799)Success in time 0.126 s
%------------------------------------------------------------------------------