TSTP Solution File: ARI410_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI410_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 : n023.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 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 10 unt; 1 typ; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 0 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 62 ( 0 atm; 21 fun; 31 num; 10 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; 5 con; 0-2 aty)
% Number of variables : 10 ( 8 !; 2 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $real ).
tff(f65,plain,
$false,
inference(subsumption_resolution,[],[f58,f18]) ).
tff(f18,plain,
4.25 != sK0,
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ( 4.25 != sK0 )
& ( 10.0 = $sum(sK0,5.75) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).
tff(f15,plain,
( ? [X0: $real] :
( ( 4.25 != X0 )
& ( $sum(X0,5.75) = 10.0 ) )
=> ( ( 4.25 != sK0 )
& ( 10.0 = $sum(sK0,5.75) ) ) ),
introduced(choice_axiom,[]) ).
tff(f14,plain,
? [X0: $real] :
( ( 4.25 != X0 )
& ( $sum(X0,5.75) = 10.0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( ( $sum(X0,5.75) = 10.0 )
=> ( 4.25 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $real] :
( ( $sum(X0,5.75) = 10.0 )
=> ( 4.25 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_sum_problem_10) ).
tff(f58,plain,
4.25 = sK0,
inference(superposition,[],[f5,f48]) ).
tff(f48,plain,
4.25 = $sum(sK0,0.0),
inference(evaluation,[],[f40]) ).
tff(f40,plain,
$sum(10.0,$uminus(5.75)) = $sum(sK0,0.0),
inference(superposition,[],[f25,f7]) ).
tff(f7,plain,
! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f25,plain,
! [X2: $real] : ( $sum(10.0,X2) = $sum(sK0,$sum(5.75,X2)) ),
inference(superposition,[],[f4,f17]) ).
tff(f17,plain,
10.0 = $sum(sK0,5.75),
inference(cnf_transformation,[],[f16]) ).
tff(f4,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f5,plain,
! [X0: $real] : ( $sum(X0,0.0) = X0 ),
introduced(theory_axiom_142,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI410=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 16:00:05 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.55 % (22626)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/32Mi)
% 0.20/0.56 % (22629)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.56 % (22629)Instruction limit reached!
% 0.20/0.56 % (22629)------------------------------
% 0.20/0.56 % (22629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (22629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (22629)Termination reason: Unknown
% 0.20/0.56 % (22629)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (22629)Memory used [KB]: 5373
% 0.20/0.56 % (22629)Time elapsed: 0.129 s
% 0.20/0.56 % (22629)Instructions burned: 2 (million)
% 0.20/0.56 % (22629)------------------------------
% 0.20/0.56 % (22629)------------------------------
% 0.20/0.56 % (22626)First to succeed.
% 0.20/0.57 % (22626)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (22626)------------------------------
% 0.20/0.57 % (22626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (22626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (22626)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (22626)Memory used [KB]: 5500
% 0.20/0.57 % (22626)Time elapsed: 0.145 s
% 0.20/0.57 % (22626)Instructions burned: 4 (million)
% 0.20/0.57 % (22626)------------------------------
% 0.20/0.57 % (22626)------------------------------
% 0.20/0.57 % (22619)Success in time 0.213 s
%------------------------------------------------------------------------------