TSTP Solution File: ARI607_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI607_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 : Tue Apr 30 10:35:41 EDT 2024
% Result : Theorem 53.91s 9.31s
% Output : Refutation 53.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 41 ( 18 unt; 1 typ; 0 def)
% Number of atoms : 71 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 18 ~; 24 |; 1 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number arithmetic : 278 ( 56 atm; 77 fun; 86 num; 59 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 : 9 ( 1 usr; 6 con; 0-2 aty)
% Number of variables : 59 ( 59 !; 0 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(f360603,plain,
$false,
inference(evaluation,[],[f360595]) ).
tff(f360595,plain,
$less(3,2),
inference(resolution,[],[f360584,f17]) ).
tff(f17,plain,
! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( $less($sum(f(7),f(3)),$sum(f(2),f(5)))
& ! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
=> ~ $less(f(X1),f(X0)) )
=> ~ $less($sum(f(7),f(3)),$sum(f(2),f(5))) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int,X1: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) )
=> $lesseq($sum(f(2),f(5)),$sum(f(7),f(3))) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ! [X0: $int,X1: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) )
=> $lesseq($sum(f(2),f(5)),$sum(f(7),f(3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_mon_implies_f2plusf5_gt_f7plusf3) ).
tff(f360584,plain,
$less(f(3),f(2)),
inference(forward_demodulation,[],[f360392,f1182]) ).
tff(f1182,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum(X1,$uminus(X0))) = X1 ),
inference(superposition,[],[f577,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f577,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f540]) ).
tff(f540,plain,
! [X0: $int,X1: $int] : ( $sum(0,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f5,f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f5,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f360392,plain,
$less($sum(f(5),$sum(f(3),$uminus(f(5)))),f(2)),
inference(backward_demodulation,[],[f1056,f360373]) ).
tff(f360373,plain,
f(5) = f(7),
inference(evaluation,[],[f360365]) ).
tff(f360365,plain,
( ( f(5) = f(7) )
| $less(3,2) ),
inference(resolution,[],[f360346,f17]) ).
tff(f360346,plain,
( $less(f(3),f(2))
| ( f(5) = f(7) ) ),
inference(evaluation,[],[f360269]) ).
tff(f360269,plain,
( $less(f(3),f(2))
| $less(7,5)
| ( f(5) = f(7) ) ),
inference(resolution,[],[f58652,f697]) ).
tff(f697,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(f(X0),X2),$sum(f(X1),X2))
| $less(X1,X0)
| ( f(X0) = f(X1) ) ),
inference(resolution,[],[f179,f12]) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_145,[]) ).
tff(f179,plain,
! [X0: $int,X1: $int] :
( $less(f(X0),f(X1))
| ( f(X0) = f(X1) )
| $less(X1,X0) ),
inference(resolution,[],[f11,f17]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f58652,plain,
! [X0: $int] :
( ~ $less($sum(f(5),X0),$sum(f(7),f(3)))
| $less(X0,f(2)) ),
inference(resolution,[],[f3591,f5875]) ).
tff(f5875,plain,
! [X0: $int] :
( $less($sum(f(7),f(3)),$sum(X0,$sum(1,f(5))))
| $less(X0,f(2)) ),
inference(resolution,[],[f4942,f84]) ).
tff(f84,plain,
! [X0: $int] :
( ~ $less($sum(f(2),f(5)),X0)
| $less($sum(f(7),f(3)),X0) ),
inference(resolution,[],[f10,f18]) ).
tff(f18,plain,
$less($sum(f(7),f(3)),$sum(f(2),f(5))),
inference(cnf_transformation,[],[f16]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f4942,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X1),$sum(X2,$sum(1,X1)))
| $less(X2,X0) ),
inference(forward_demodulation,[],[f422,f5]) ).
tff(f422,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X1),$sum($sum(X2,1),X1))
| $less(X2,X0) ),
inference(resolution,[],[f12,f13]) ).
tff(f13,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f3591,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X2,$sum(X1,$sum(1,X0)))
| ~ $less($sum(X0,X1),X2) ),
inference(superposition,[],[f49,f548]) ).
tff(f548,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f5,f4]) ).
tff(f49,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ),
inference(superposition,[],[f15,f4]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
tff(f1056,plain,
$less($sum(f(7),$sum(f(3),$uminus(f(5)))),f(2)),
inference(evaluation,[],[f1053]) ).
tff(f1053,plain,
$less($sum(f(7),$sum(f(3),$uminus(f(5)))),$sum(f(2),0)),
inference(superposition,[],[f930,f8]) ).
tff(f930,plain,
! [X0: $int] : $less($sum(f(7),$sum(f(3),X0)),$sum(f(2),$sum(f(5),X0))),
inference(forward_demodulation,[],[f929,f5]) ).
tff(f929,plain,
! [X0: $int] : $less($sum($sum(f(7),f(3)),X0),$sum(f(2),$sum(f(5),X0))),
inference(forward_demodulation,[],[f400,f5]) ).
tff(f400,plain,
! [X0: $int] : $less($sum($sum(f(7),f(3)),X0),$sum($sum(f(2),f(5)),X0)),
inference(resolution,[],[f12,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : ARI607_1 : TPTP v8.1.2. Released v5.1.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n002.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 : Tue Apr 30 05:48:40 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (31339)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (31340)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38 % (31343)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.38 % (31344)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.38 % (31345)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.38 % (31341)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38 % (31346)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38 % (31342)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.21/0.38 % (31340)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.38 % (31343)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.38 % (31343)Terminated due to inappropriate strategy.
% 0.21/0.38 % (31343)------------------------------
% 0.21/0.38 % (31343)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.38 % (31343)Termination reason: Inappropriate
% 0.21/0.38
% 0.21/0.38 % (31343)Memory used [KB]: 717
% 0.21/0.38 % (31343)Time elapsed: 0.002 s
% 0.21/0.38 % (31343)Instructions burned: 2 (million)
% 0.21/0.38 % (31340)Terminated due to inappropriate strategy.
% 0.21/0.38 % (31340)------------------------------
% 0.21/0.38 % (31340)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.38 % (31343)------------------------------
% 0.21/0.38 % (31343)------------------------------
% 0.21/0.38 % (31340)Termination reason: Inappropriate
% 0.21/0.38
% 0.21/0.38 % (31340)Memory used [KB]: 717
% 0.21/0.38 % (31340)Time elapsed: 0.002 s
% 0.21/0.38 % (31340)Instructions burned: 2 (million)
% 0.21/0.38 % (31340)------------------------------
% 0.21/0.38 % (31340)------------------------------
% 0.21/0.38 % (31341)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.38 % (31341)Terminated due to inappropriate strategy.
% 0.21/0.38 % (31341)------------------------------
% 0.21/0.38 % (31341)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.38 % (31341)Termination reason: Inappropriate
% 0.21/0.38
% 0.21/0.38 % (31341)Memory used [KB]: 717
% 0.21/0.38 % (31341)Time elapsed: 0.002 s
% 0.21/0.38 % (31341)Instructions burned: 2 (million)
% 0.21/0.38 % (31341)------------------------------
% 0.21/0.38 % (31341)------------------------------
% 0.21/0.38 % (31346)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.38 % (31346)Terminated due to inappropriate strategy.
% 0.21/0.38 % (31346)------------------------------
% 0.21/0.38 % (31346)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.38 % (31346)Termination reason: Inappropriate
% 0.21/0.38
% 0.21/0.38 % (31346)Memory used [KB]: 718
% 0.21/0.38 % (31346)Time elapsed: 0.002 s
% 0.21/0.38 % (31346)Instructions burned: 2 (million)
% 0.21/0.38 % (31346)------------------------------
% 0.21/0.38 % (31346)------------------------------
% 0.21/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.21/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.21/0.40 % (31347)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.40 % (31349)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.40 % (31348)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_476 on theBenchmark for (476ds/0Mi)
% 0.21/0.40 % (31350)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.40 % (31347)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.40 % (31347)Terminated due to inappropriate strategy.
% 0.21/0.40 % (31347)------------------------------
% 0.21/0.40 % (31347)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.40 % (31347)Termination reason: Inappropriate
% 0.21/0.40
% 0.21/0.40 % (31347)Memory used [KB]: 718
% 0.21/0.40 % (31347)Time elapsed: 0.002 s
% 0.21/0.40 % (31347)Instructions burned: 2 (million)
% 0.21/0.40 % (31347)------------------------------
% 0.21/0.40 % (31347)------------------------------
% 0.21/0.40 % (31349)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.40 % (31349)Terminated due to inappropriate strategy.
% 0.21/0.40 % (31349)------------------------------
% 0.21/0.40 % (31349)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.40 % (31349)Termination reason: Inappropriate
% 0.21/0.40
% 0.21/0.40 % (31349)Memory used [KB]: 718
% 0.21/0.40 % (31349)Time elapsed: 0.002 s
% 0.21/0.40 % (31349)Instructions burned: 2 (million)
% 0.21/0.40 % (31349)------------------------------
% 0.21/0.40 % (31349)------------------------------
% 0.21/0.41 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.21/0.41 % (31351)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 53.91/9.30 % (31344)First to succeed.
% 53.91/9.31 % (31344)Refutation found. Thanks to Tanya!
% 53.91/9.31 % SZS status Theorem for theBenchmark
% 53.91/9.31 % SZS output start Proof for theBenchmark
% See solution above
% 53.91/9.31 % (31344)------------------------------
% 53.91/9.31 % (31344)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 53.91/9.31 % (31344)Termination reason: Refutation
% 53.91/9.31
% 53.91/9.31 % (31344)Memory used [KB]: 121451
% 53.91/9.31 % (31344)Time elapsed: 8.920 s
% 53.91/9.31 % (31344)Instructions burned: 36352 (million)
% 53.91/9.31 % (31344)------------------------------
% 53.91/9.31 % (31344)------------------------------
% 53.91/9.31 % (31339)Success in time 8.94 s
%------------------------------------------------------------------------------