TSTP Solution File: ARI432_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI432_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 : n015.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 15:46:07 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 13 unt; 1 typ; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 90 ( 0 atm; 39 fun; 38 num; 13 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 : 10 ( 1 usr; 7 con; 0-2 aty)
% Number of variables : 13 ( 11 !; 2 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $real ).
tff(f129,plain,
$false,
inference(subsumption_resolution,[],[f118,f18]) ).
tff(f18,plain,
4.0 != sK0,
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( 12.05 = $sum(16.05,$uminus(sK0)) )
& ( 4.0 != sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $real] :
( ( 12.05 = $sum(16.05,$uminus(X0)) )
& ( 4.0 != X0 ) )
=> ( ( 12.05 = $sum(16.05,$uminus(sK0)) )
& ( 4.0 != sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $real] :
( ( 12.05 = $sum(16.05,$uminus(X0)) )
& ( 4.0 != X0 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $real] :
( ( 12.05 = $sum(16.05,$uminus(X0)) )
=> ( 4.0 = X0 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( ( $difference(16.05,X0) = 12.05 )
=> ( 4.0 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $real] :
( ( $difference(16.05,X0) = 12.05 )
=> ( 4.0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_difference_problem_8) ).
tff(f118,plain,
4.0 = sK0,
inference(superposition,[],[f101,f6]) ).
tff(f6,plain,
! [X0: $real] : ( $sum(X0,0.0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f101,plain,
4.0 = $sum(sK0,0.0),
inference(evaluation,[],[f91]) ).
tff(f91,plain,
$sum(-12.05,$uminus(-16.05)) = $sum(sK0,0.0),
inference(superposition,[],[f30,f8]) ).
tff(f8,plain,
! [X0: $real] : ( $sum(X0,$uminus(X0)) = 0.0 ),
introduced(theory_axiom_145,[]) ).
tff(f30,plain,
! [X2: $real] : ( $sum(-12.05,X2) = $sum(sK0,$sum(-16.05,X2)) ),
inference(superposition,[],[f5,f24]) ).
tff(f24,plain,
-12.05 = $sum(sK0,-16.05),
inference(evaluation,[],[f22]) ).
tff(f22,plain,
$sum($uminus($uminus(sK0)),$uminus(16.05)) = $uminus(12.05),
inference(superposition,[],[f7,f19]) ).
tff(f19,plain,
12.05 = $sum(16.05,$uminus(sK0)),
inference(cnf_transformation,[],[f17]) ).
tff(f7,plain,
! [X0: $real,X1: $real] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X0,X1)) ),
introduced(theory_axiom_144,[]) ).
tff(f5,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI432=1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 15:52:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.48 % (4146)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 (2999ds/26Mi)
% 0.18/0.49 % (4154)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.49 % (4154)Instruction limit reached!
% 0.18/0.49 % (4154)------------------------------
% 0.18/0.49 % (4154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (4154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (4154)Termination reason: Unknown
% 0.18/0.49 % (4154)Termination phase: Saturation
% 0.18/0.49
% 0.18/0.49 % (4154)Memory used [KB]: 5373
% 0.18/0.49 % (4154)Time elapsed: 0.002 s
% 0.18/0.49 % (4154)Instructions burned: 2 (million)
% 0.18/0.49 % (4154)------------------------------
% 0.18/0.49 % (4154)------------------------------
% 0.18/0.49 % (4139)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.50 % (4139)First to succeed.
% 0.18/0.50 % (4139)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (4139)------------------------------
% 0.18/0.50 % (4139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (4139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (4139)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (4139)Memory used [KB]: 5500
% 0.18/0.50 % (4139)Time elapsed: 0.122 s
% 0.18/0.50 % (4139)Instructions burned: 7 (million)
% 0.18/0.50 % (4139)------------------------------
% 0.18/0.50 % (4139)------------------------------
% 0.18/0.50 % (4137)Success in time 0.155 s
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