TSTP Solution File: ARI610_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI610_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 : n009.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 15:46:36 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 7 unt; 3 typ; 0 def)
% Number of atoms : 48 ( 1 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 48 ( 20 ~; 10 |; 10 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 111 ( 46 atm; 26 fun; 14 num; 25 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(func_def_1,type,
a: $int ).
tff(func_def_2,type,
b: $int ).
tff(f94,plain,
$false,
inference(subsumption_resolution,[],[f93,f25]) ).
tff(f25,plain,
$less(b,a),
inference(resolution,[],[f21,f22]) ).
tff(f22,plain,
$less(f(b),f(a)),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( $less(f(b),f(a))
& ! [X0: $int,X1: $int] :
( $less(X1,X0)
| ~ $less(f(X1),f(X0)) )
& $less(f($sum(a,$uminus(b))),f(0)) ),
inference(rectify,[],[f18]) ).
tff(f18,plain,
( $less(f(b),f(a))
& ! [X1: $int,X0: $int] :
( $less(X0,X1)
| ~ $less(f(X0),f(X1)) )
& $less(f($sum(a,$uminus(b))),f(0)) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
( $less(f($sum(a,$uminus(b))),f(0))
& $less(f(b),f(a))
& ! [X1: $int,X0: $int] :
( $less(X0,X1)
| ~ $less(f(X0),f(X1)) ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ( ( $less(f(b),f(a))
& ! [X1: $int,X0: $int] :
( ~ $less(X0,X1)
=> ~ $less(f(X0),f(X1)) ) )
=> ~ $less(f($sum(a,$uminus(b))),f(0)) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ( ( ! [X1: $int,X0: $int] :
( ~ $less(X1,X0)
=> ~ $less(f(X1),f(X0)) )
& $less(f(b),f(a)) )
=> ~ $less(f($sum(a,$uminus(b))),f(0)) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ! [X1: $int,X0: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) )
& $less(f(b),f(a)) )
=> $lesseq(f(0),f($sum(a,$uminus(b)))) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ! [X1: $int,X0: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) )
& $less(f(b),f(a)) )
=> $lesseq(f(0),f($sum(a,$uminus(b)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_mon_implies_f_a_b_2) ).
tff(f21,plain,
! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ),
inference(cnf_transformation,[],[f19]) ).
tff(f93,plain,
~ $less(b,a),
inference(evaluation,[],[f89]) ).
tff(f89,plain,
( $less(0,0)
| ~ $less(b,a) ),
inference(superposition,[],[f44,f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f44,plain,
! [X2: $int] :
( $less($sum(X2,$uminus(b)),0)
| ~ $less(X2,a) ),
inference(resolution,[],[f30,f12]) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f30,plain,
! [X0: $int] :
( ~ $less(X0,$sum(a,$uminus(b)))
| $less(X0,0) ),
inference(resolution,[],[f26,f10]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f26,plain,
$less($sum(a,$uminus(b)),0),
inference(resolution,[],[f21,f20]) ).
tff(f20,plain,
$less(f($sum(a,$uminus(b))),f(0)),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI610=1 : TPTP v8.1.0. Released v5.1.0.
% 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
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 15:48:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (3858)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.49 % (3861)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.49 % (3866)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.19/0.49 % (3867)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.50 % (3867)Instruction limit reached!
% 0.19/0.50 % (3867)------------------------------
% 0.19/0.50 % (3867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (3879)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 (2999ds/46Mi)
% 0.19/0.50 % (3861)Instruction limit reached!
% 0.19/0.50 % (3861)------------------------------
% 0.19/0.50 % (3861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (3871)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 (2999ds/2Mi)
% 0.19/0.51 % (3873)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 (2999ds/49Mi)
% 0.19/0.51 % (3867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (3867)Termination reason: Unknown
% 0.19/0.51 % (3867)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (3867)Memory used [KB]: 5500
% 0.19/0.51 % (3867)Time elapsed: 0.102 s
% 0.19/0.51 % (3867)Instructions burned: 4 (million)
% 0.19/0.51 % (3867)------------------------------
% 0.19/0.51 % (3867)------------------------------
% 0.19/0.51 % (3887)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.19/0.51 % (3863)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 (2999ds/36Mi)
% 0.19/0.51 % (3871)Instruction limit reached!
% 0.19/0.51 % (3871)------------------------------
% 0.19/0.51 % (3871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (3879)First to succeed.
% 0.19/0.51 % (3871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (3871)Termination reason: Unknown
% 0.19/0.51 % (3871)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (3871)Memory used [KB]: 5500
% 0.19/0.51 % (3871)Time elapsed: 0.074 s
% 0.19/0.51 % (3871)Instructions burned: 2 (million)
% 0.19/0.51 % (3871)------------------------------
% 0.19/0.51 % (3871)------------------------------
% 0.19/0.51 % (3858)Instruction limit reached!
% 0.19/0.51 % (3858)------------------------------
% 0.19/0.51 % (3858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (3879)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (3879)------------------------------
% 0.19/0.51 % (3879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (3879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (3879)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (3879)Memory used [KB]: 1023
% 0.19/0.52 % (3879)Time elapsed: 0.076 s
% 0.19/0.52 % (3879)Instructions burned: 7 (million)
% 0.19/0.52 % (3879)------------------------------
% 0.19/0.52 % (3879)------------------------------
% 0.19/0.52 % (3850)Success in time 0.168 s
%------------------------------------------------------------------------------