TSTP Solution File: ARI606_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI606_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 : n011.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 15:46:35 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 4 unt; 2 typ; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 25 ( 12 ~; 3 |; 2 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 55 ( 23 atm; 0 fun; 18 num; 14 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 1 usr; 2 con; 0-1 aty)
% Number of variables : 14 ( 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(pred_def_3,type,
sQ0_eqProxy: ( $int * $int ) > $o ).
tff(f47,plain,
$false,
inference(evaluation,[],[f42]) ).
tff(f42,plain,
$less(5,2),
inference(resolution,[],[f37,f19]) ).
tff(f19,plain,
! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( $less(f(f(5)),f(f(2)))
& ! [X0: $int,X1: $int] :
( $less(X1,X0)
| ~ $less(f(X1),f(X0)) ) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
( $less(f(f(5)),f(f(2)))
& ! [X1: $int,X0: $int] :
( $less(X0,X1)
| ~ $less(f(X0),f(X1)) ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ( ! [X1: $int,X0: $int] :
( ~ $less(X0,X1)
=> ~ $less(f(X0),f(X1)) )
=> ~ $less(f(f(5)),f(f(2))) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ( ! [X1: $int,X0: $int] :
( ~ $less(X1,X0)
=> ~ $less(f(X1),f(X0)) )
=> ~ $less(f(f(5)),f(f(2))) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ! [X1: $int,X0: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) )
=> $lesseq(f(f(2)),f(f(5))) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ! [X1: $int,X0: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) )
=> $lesseq(f(f(2)),f(f(5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_mon_implies_ff2_gt_ff5) ).
tff(f37,plain,
$less(f(5),f(2)),
inference(resolution,[],[f19,f20]) ).
tff(f20,plain,
$less(f(f(5)),f(f(2))),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI606=1 : TPTP v8.1.0. Released v5.1.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 15:48:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (16370)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)
% 0.19/0.48 % (16378)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.48 % (16378)Instruction limit reached!
% 0.19/0.48 % (16378)------------------------------
% 0.19/0.48 % (16378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (16378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (16378)Termination reason: Unknown
% 0.19/0.48 % (16378)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (16378)Memory used [KB]: 895
% 0.19/0.48 % (16378)Time elapsed: 0.004 s
% 0.19/0.48 % (16378)Instructions burned: 2 (million)
% 0.19/0.48 % (16378)------------------------------
% 0.19/0.48 % (16378)------------------------------
% 0.19/0.49 % (16370)First to succeed.
% 0.19/0.49 % (16370)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (16370)------------------------------
% 0.19/0.49 % (16370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (16370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (16370)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (16370)Memory used [KB]: 5373
% 0.19/0.49 % (16370)Time elapsed: 0.094 s
% 0.19/0.49 % (16370)Instructions burned: 2 (million)
% 0.19/0.49 % (16370)------------------------------
% 0.19/0.49 % (16370)------------------------------
% 0.19/0.49 % (16361)Success in time 0.147 s
%------------------------------------------------------------------------------