TSTP Solution File: ARI290_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI290_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 : n017.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 15:45:50 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 8 unt; 1 typ; 0 def)
% Number of atoms : 10 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 5 ~; 0 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 25 ( 0 atm; 5 fun; 17 num; 3 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_2,type,
sQ0_eqProxy: ( $rat * $rat ) > $o ).
tff(f43,plain,
$false,
inference(subsumption_resolution,[],[f42,f38]) ).
tff(f38,plain,
! [X0: $rat] : sQ0_eqProxy(X0,X0),
inference(equality_proxy_axiom,[],[f23]) ).
tff(f23,plain,
! [X0: $rat,X1: $rat] :
( sQ0_eqProxy(X0,X1)
<=> ( X0 = X1 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f42,plain,
~ sQ0_eqProxy(9/10,9/10),
inference(evaluation,[],[f27]) ).
tff(f27,plain,
~ sQ0_eqProxy($product(-3/40,-12/1),9/10),
inference(equality_proxy_replacement,[],[f21,f23]) ).
tff(f21,plain,
$product(-3/40,-12/1) != 9/10,
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
$product(-3/40,-12/1) != 9/10,
inference(flattening,[],[f2]) ).
tff(f2,negated_conjecture,
( ( ~ $product(-3/40,-12/1) )
= 9/10 ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
$product(-3/40,-12/1) = 9/10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_product_problem_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ARI290=1 : TPTP v8.1.0. Released v5.0.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 14:56:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (21707)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.49 % (21699)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/26Mi)
% 0.20/0.49 % (21699)First to succeed.
% 0.20/0.49 % (21699)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (21699)------------------------------
% 0.20/0.49 % (21699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (21699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (21699)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (21699)Memory used [KB]: 5373
% 0.20/0.49 % (21699)Time elapsed: 0.002 s
% 0.20/0.49 % (21699)Instructions burned: 2 (million)
% 0.20/0.49 % (21699)------------------------------
% 0.20/0.49 % (21699)------------------------------
% 0.20/0.49 % (21690)Success in time 0.15 s
%------------------------------------------------------------------------------