TSTP Solution File: ARI011_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI011_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 : n019.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 15:45:13 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 37 ( 8 atm; 8 fun; 11 num; 10 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 : 4 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 8 !; 2 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(f47,plain,
$false,
inference(evaluation,[],[f45]) ).
tff(f45,plain,
$less(0,0),
inference(superposition,[],[f35,f17]) ).
tff(f17,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f7,f13]) ).
tff(f13,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_153,[]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f35,plain,
! [X0: $int] : $less(0,$sum(X0,1)),
inference(resolution,[],[f12,f16]) ).
tff(f16,plain,
! [X0: $int] : ~ $less(X0,0),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: $int] : ~ $less(X0,0),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : $less(X0,0),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $int] : $less(X0,0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',something_less_0) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_152,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ARI011=1 : TPTP v8.1.0. Released v5.0.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 29 15:20:50 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.50 % (18978)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)
% 0.21/0.50 % (18986)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/49Mi)
% 0.21/0.51 % (18986)First to succeed.
% 0.21/0.51 % (18991)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.21/0.51 % (18978)Instruction limit reached!
% 0.21/0.51 % (18978)------------------------------
% 0.21/0.51 % (18978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (18986)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Theorem for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (18986)------------------------------
% 0.21/0.51 % (18986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (18986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (18986)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (18986)Memory used [KB]: 5500
% 0.21/0.51 % (18986)Time elapsed: 0.092 s
% 0.21/0.51 % (18986)Instructions burned: 3 (million)
% 0.21/0.51 % (18986)------------------------------
% 0.21/0.51 % (18986)------------------------------
% 0.21/0.51 % (18968)Success in time 0.141 s
%------------------------------------------------------------------------------