TSTP Solution File: ARI591_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI591_1 : TPTP v8.1.0. Released v5.1.0.
% 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 : n006.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 15:46:32 EDT 2022
% Result : Theorem 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 51 ( 20 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 50 ( 19 ~; 26 |; 4 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 116 ( 30 atm; 14 fun; 49 num; 23 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 23 ( 19 !; 4 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(f83,plain,
$false,
inference(evaluation,[],[f82]) ).
tff(f82,plain,
1 = 2,
inference(superposition,[],[f31,f76]) ).
tff(f76,plain,
sK0 = 2,
inference(evaluation,[],[f69]) ).
tff(f69,plain,
( ( 3 = $sum(1,1) )
| ( sK0 = $sum(1,1) )
| ~ $less(1,3)
| $less(1,0) ),
inference(resolution,[],[f26,f14]) ).
tff(f14,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_166,[]) ).
tff(f26,plain,
! [X0: $int] :
( $less(3,$sum(1,X0))
| ( $sum(1,X0) = sK0 )
| $less(X0,0)
| ( 3 = $sum(1,X0) ) ),
inference(resolution,[],[f24,f10]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| ( X0 = X1 )
| $less(X0,X1) ),
introduced(theory_axiom_149,[]) ).
tff(f24,plain,
! [X1: $int] :
( ~ $less($sum(1,X1),3)
| $less(X1,0)
| ( sK0 = $sum(1,X1) ) ),
inference(superposition,[],[f19,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f19,plain,
! [X0: $int] :
( ~ $less($sum(X0,1),3)
| ( sK0 = $sum(X0,1) )
| $less(X0,0) ),
inference(resolution,[],[f18,f12]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f18,plain,
! [X1: $int] :
( ~ $less(0,X1)
| ( sK0 = X1 )
| ~ $less(X1,3) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X1: $int] :
( ~ $less(X1,3)
| ( sK0 = X1 )
| ~ $less(0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int] :
! [X1: $int] :
( ~ $less(X1,3)
| ( X0 = X1 )
| ~ $less(0,X1) )
=> ! [X1: $int] :
( ~ $less(X1,3)
| ( sK0 = X1 )
| ~ $less(0,X1) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] :
! [X1: $int] :
( ~ $less(X1,3)
| ( X0 = X1 )
| ~ $less(0,X1) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
? [X1: $int] :
( $less(0,X1)
& $less(X1,3)
& ( X0 != X1 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
? [X1: $int] :
( $less(0,X1)
& $less(X1,3)
& ( X0 != X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exists_X_0_3_noteq_Y) ).
tff(f31,plain,
sK0 = 1,
inference(evaluation,[],[f27]) ).
tff(f27,plain,
( ~ $less(1,3)
| ( sK0 = 1 )
| $less(0,0) ),
inference(superposition,[],[f24,f5]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ARI591=1 : TPTP v8.1.0. Released v5.1.0.
% 0.11/0.12 % 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 : n006.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
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 15:49:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 % (12009)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/36Mi)
% 0.19/0.46 % (12009)First to succeed.
% 0.19/0.46 % (12017)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.46 % (12009)Refutation found. Thanks to Tanya!
% 0.19/0.46 % SZS status Theorem for theBenchmark
% 0.19/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46 % (12009)------------------------------
% 0.19/0.46 % (12009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (12009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (12009)Termination reason: Refutation
% 0.19/0.46
% 0.19/0.46 % (12009)Memory used [KB]: 5500
% 0.19/0.46 % (12009)Time elapsed: 0.070 s
% 0.19/0.46 % (12009)Instructions burned: 6 (million)
% 0.19/0.46 % (12009)------------------------------
% 0.19/0.46 % (12009)------------------------------
% 0.19/0.46 % (12001)Success in time 0.125 s
%------------------------------------------------------------------------------