TSTP Solution File: ARI409_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI409_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 : n009.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 15:46:04 EDT 2022
% Result : Theorem 0.15s 0.45s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 5 unt; 1 typ; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 35 ( 0 atm; 7 fun; 24 num; 4 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 : 5 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $real ).
tff(f22,plain,
$false,
inference(trivial_inequality_removal,[],[f21]) ).
tff(f21,plain,
10.0 != 10.0,
inference(superposition,[],[f18,f19]) ).
tff(f19,plain,
10.0 = sK0,
inference(evaluation,[],[f17]) ).
tff(f17,plain,
$sum(4.25,5.75) = sK0,
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ( 10.0 != sK0 )
& ( $sum(4.25,5.75) = sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).
tff(f15,plain,
( ? [X0: $real] :
( ( 10.0 != X0 )
& ( $sum(4.25,5.75) = X0 ) )
=> ( ( 10.0 != sK0 )
& ( $sum(4.25,5.75) = sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f14,plain,
? [X0: $real] :
( ( 10.0 != X0 )
& ( $sum(4.25,5.75) = X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( ( $sum(4.25,5.75) = X0 )
=> ( 10.0 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $real] :
( ( $sum(4.25,5.75) = X0 )
=> ( 10.0 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_sum_problem_9) ).
tff(f18,plain,
10.0 != sK0,
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ARI409=1 : TPTP v8.1.0. Released v5.0.0.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30 % Computer : n009.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Aug 29 15:36:35 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.43 % (12296)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.15/0.45 % (12296)First to succeed.
% 0.15/0.45 % (12296)Refutation found. Thanks to Tanya!
% 0.15/0.45 % SZS status Theorem for theBenchmark
% 0.15/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.45 % (12296)------------------------------
% 0.15/0.45 % (12296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.45 % (12296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.45 % (12296)Termination reason: Refutation
% 0.15/0.45
% 0.15/0.45 % (12296)Memory used [KB]: 5500
% 0.15/0.45 % (12296)Time elapsed: 0.089 s
% 0.15/0.45 % (12296)Instructions burned: 2 (million)
% 0.15/0.45 % (12296)------------------------------
% 0.15/0.45 % (12296)------------------------------
% 0.15/0.45 % (12281)Success in time 0.141 s
%------------------------------------------------------------------------------