TSTP Solution File: ARI585_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI585_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n023.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 : Fri Sep 1 13:42:34 EDT 2023
% Result : Theorem 0.21s 0.47s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 12 unt; 2 typ; 0 def)
% Number of atoms : 57 ( 1 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 57 ( 23 ~; 12 |; 18 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 181 ( 55 atm; 45 fun; 43 num; 38 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 2 usr; 6 con; 0-2 aty)
% Number of variables : 38 (; 28 !; 10 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(func_def_8,type,
sK1: $int > $int ).
tff(f1391,plain,
$false,
inference(resolution,[],[f266,f71]) ).
tff(f71,plain,
~ $less(sK1($sum(5,sK0)),$sum(9,sK0)),
inference(evaluation,[],[f68]) ).
tff(f68,plain,
~ $less(sK1($sum(5,sK0)),$sum($sum(5,sK0),4)),
inference(resolution,[],[f21,f25]) ).
tff(f25,plain,
! [X1: $int] : $less($sum(5,sK0),sK1(X1)),
inference(backward_demodulation,[],[f22,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_138,[]) ).
tff(f22,plain,
! [X1: $int] : $less($sum(sK0,5),sK1(X1)),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
! [X1: $int] :
( $less($sum(sK0,5),sK1(X1))
& ( ~ $less(X1,sK1(X1))
| ~ $less(sK1(X1),$sum(X1,4)) )
& $less(sK1(X1),$sum(sK0,8)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f18,f17]) ).
tff(f17,plain,
( ? [X0: $int] :
! [X1: $int] :
? [X2: $int] :
( $less($sum(X0,5),X2)
& ( ~ $less(X1,X2)
| ~ $less(X2,$sum(X1,4)) )
& $less(X2,$sum(X0,8)) )
=> ! [X1: $int] :
? [X2: $int] :
( $less($sum(sK0,5),X2)
& ( ~ $less(X1,X2)
| ~ $less(X2,$sum(X1,4)) )
& $less(X2,$sum(sK0,8)) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
! [X1: $int] :
( ? [X2: $int] :
( $less($sum(sK0,5),X2)
& ( ~ $less(X1,X2)
| ~ $less(X2,$sum(X1,4)) )
& $less(X2,$sum(sK0,8)) )
=> ( $less($sum(sK0,5),sK1(X1))
& ( ~ $less(X1,sK1(X1))
| ~ $less(sK1(X1),$sum(X1,4)) )
& $less(sK1(X1),$sum(sK0,8)) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int] :
! [X1: $int] :
? [X2: $int] :
( $less($sum(X0,5),X2)
& ( ~ $less(X1,X2)
| ~ $less(X2,$sum(X1,4)) )
& $less(X2,$sum(X0,8)) ),
inference(flattening,[],[f15]) ).
tff(f15,plain,
? [X0: $int] :
! [X1: $int] :
? [X2: $int] :
( ( ~ $less(X1,X2)
| ~ $less(X2,$sum(X1,4)) )
& $less($sum(X0,5),X2)
& $less(X2,$sum(X0,8)) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
? [X1: $int] :
! [X2: $int] :
( ( $less($sum(X0,5),X2)
& $less(X2,$sum(X0,8)) )
=> ( $less(X2,$sum(X1,4))
& $less(X1,X2) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
? [X1: $int] :
! [X2: $int] :
( ( $less($sum(X0,5),X2)
& $less(X2,$sum(X0,8)) )
=> ( $less(X2,$sum(X1,4))
& $less(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.UygGC3AF4k/Vampire---4.8_27103',interv_4_can_cover_interv_3) ).
tff(f21,plain,
! [X1: $int] :
( ~ $less(X1,sK1(X1))
| ~ $less(sK1(X1),$sum(X1,4)) ),
inference(cnf_transformation,[],[f19]) ).
tff(f266,plain,
! [X2: $int] : $less(sK1(X2),$sum(9,sK0)),
inference(evaluation,[],[f260]) ).
tff(f260,plain,
! [X2: $int] : $less(sK1(X2),$sum($sum(8,sK0),1)),
inference(resolution,[],[f56,f37]) ).
tff(f37,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f12,f8]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_145,[]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f56,plain,
! [X0: $int,X1: $int] :
( ~ $less($sum(8,sK0),X0)
| $less(sK1(X1),X0) ),
inference(resolution,[],[f9,f24]) ).
tff(f24,plain,
! [X1: $int] : $less(sK1(X1),$sum(8,sK0)),
inference(backward_demodulation,[],[f20,f3]) ).
tff(f20,plain,
! [X1: $int] : $less(sK1(X1),$sum(sK0,8)),
inference(cnf_transformation,[],[f19]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ),
introduced(theory_axiom_146,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : ARI585_1 : TPTP v8.1.2. Released v5.1.0.
% 0.13/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 30 18:18:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.40 % (27210)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.41 % (27211)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.14/0.41 % (27212)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.14/0.41 % (27213)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 Vampire---4 for (476ds/0Mi)
% 0.14/0.41 % (27215)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.14/0.41 % (27214)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.14/0.41 % (27216)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.14/0.41 % (27217)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.14/0.41 % (27211)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.41 % (27212)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.41 % (27211)Terminated due to inappropriate strategy.
% 0.14/0.41 % (27211)------------------------------
% 0.14/0.41 % (27211)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.14/0.41 % (27211)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.14/0.41 % (27211)Termination reason: Inappropriate
% 0.14/0.41
% 0.14/0.41 % (27211)Memory used [KB]: 767
% 0.14/0.41 % (27211)Time elapsed: 0.003 s
% 0.14/0.41 % (27211)------------------------------
% 0.14/0.41 % (27211)------------------------------
% 0.14/0.41 % (27212)Terminated due to inappropriate strategy.
% 0.14/0.41 % (27212)------------------------------
% 0.14/0.41 % (27212)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.14/0.41 % (27214)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.41 % (27212)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.14/0.41 % (27212)Termination reason: Inappropriate
% 0.14/0.41
% 0.14/0.41 % (27212)Memory used [KB]: 767
% 0.14/0.41 % (27212)Time elapsed: 0.003 s
% 0.14/0.41 % (27212)------------------------------
% 0.14/0.41 % (27212)------------------------------
% 0.14/0.41 % (27214)Terminated due to inappropriate strategy.
% 0.14/0.41 % (27214)------------------------------
% 0.14/0.41 % (27214)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.14/0.41 % (27214)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.14/0.41 % (27214)Termination reason: Inappropriate
% 0.14/0.41
% 0.14/0.41 % (27214)Memory used [KB]: 767
% 0.14/0.41 % (27214)Time elapsed: 0.003 s
% 0.14/0.41 % (27214)------------------------------
% 0.14/0.41 % (27214)------------------------------
% 0.14/0.41 % (27217)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.41 % (27217)Terminated due to inappropriate strategy.
% 0.14/0.41 % (27217)------------------------------
% 0.14/0.41 % (27217)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.14/0.41 % (27217)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.14/0.41 % (27217)Termination reason: Inappropriate
% 0.14/0.41
% 0.14/0.41 % (27217)Memory used [KB]: 767
% 0.14/0.41 % (27217)Time elapsed: 0.003 s
% 0.14/0.41 % (27217)------------------------------
% 0.14/0.41 % (27217)------------------------------
% 0.14/0.41 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.41 % (27218)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_569 on Vampire---4 for (569ds/0Mi)
% 0.14/0.41 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.41 % (27220)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 Vampire---4 for (470ds/0Mi)
% 0.14/0.41 % (27219)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 Vampire---4 for (476ds/0Mi)
% 0.14/0.41 % (27221)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_396 on Vampire---4 for (396ds/0Mi)
% 0.14/0.41 % (27218)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.41 % (27218)Terminated due to inappropriate strategy.
% 0.14/0.41 % (27218)------------------------------
% 0.14/0.41 % (27218)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.14/0.41 % (27218)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.14/0.41 % (27218)Termination reason: Inappropriate
% 0.14/0.41
% 0.14/0.41 % (27218)Memory used [KB]: 767
% 0.14/0.41 % (27218)Time elapsed: 0.003 s
% 0.14/0.41 % (27218)------------------------------
% 0.14/0.41 % (27218)------------------------------
% 0.14/0.41 % (27220)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.41 % (27220)Terminated due to inappropriate strategy.
% 0.14/0.41 % (27220)------------------------------
% 0.14/0.41 % (27220)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.14/0.41 % (27220)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.14/0.41 % (27220)Termination reason: Inappropriate
% 0.14/0.41
% 0.14/0.41 % (27220)Memory used [KB]: 767
% 0.14/0.41 % (27220)Time elapsed: 0.003 s
% 0.14/0.41 % (27220)------------------------------
% 0.14/0.41 % (27220)------------------------------
% 0.14/0.42 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.42 % (27222)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on Vampire---4 for (216ds/0Mi)
% 0.14/0.42 % (27223)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_2902 on Vampire---4 for (2902ds/0Mi)
% 0.21/0.42 % (27223)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.42 % (27223)Terminated due to inappropriate strategy.
% 0.21/0.42 % (27223)------------------------------
% 0.21/0.42 % (27223)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (27223)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (27223)Termination reason: Inappropriate
% 0.21/0.42
% 0.21/0.42 % (27223)Memory used [KB]: 767
% 0.21/0.42 % (27223)Time elapsed: 0.003 s
% 0.21/0.42 % (27223)------------------------------
% 0.21/0.42 % (27223)------------------------------
% 0.21/0.42 % (27224)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_1138 on Vampire---4 for (1138ds/0Mi)
% 0.21/0.42 % (27224)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.42 % (27224)Terminated due to inappropriate strategy.
% 0.21/0.42 % (27224)------------------------------
% 0.21/0.42 % (27224)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (27224)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (27224)Termination reason: Inappropriate
% 0.21/0.42
% 0.21/0.42 % (27224)Memory used [KB]: 767
% 0.21/0.42 % (27224)Time elapsed: 0.003 s
% 0.21/0.42 % (27224)------------------------------
% 0.21/0.42 % (27224)------------------------------
% 0.21/0.43 % (27225)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_952 on Vampire---4 for (952ds/0Mi)
% 0.21/0.46 % (27222)First to succeed.
% 0.21/0.47 % (27222)Refutation found. Thanks to Tanya!
% 0.21/0.47 % SZS status Theorem for Vampire---4
% 0.21/0.47 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.47 % (27222)------------------------------
% 0.21/0.47 % (27222)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.47 % (27222)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.47 % (27222)Termination reason: Refutation
% 0.21/0.47
% 0.21/0.47 % (27222)Memory used [KB]: 6524
% 0.21/0.47 % (27222)Time elapsed: 0.049 s
% 0.21/0.47 % (27222)------------------------------
% 0.21/0.47 % (27222)------------------------------
% 0.21/0.47 % (27210)Success in time 0.111 s
% 0.21/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------