TSTP Solution File: ARI572_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI572_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 : n014.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 10:35:36 EDT 2024
% Result : Theorem 0.22s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 37 ( 9 unt; 2 typ; 0 def)
% Number of atoms : 69 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 15 ~; 27 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 166 ( 47 atm; 77 fun; 7 num; 35 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 : 6 ( 2 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 31 !; 4 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(func_def_5,type,
sK1: $int ).
tff(f590,plain,
$false,
inference(subsumption_resolution,[],[f569,f8]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f569,plain,
$less($sum(sK0,$uminus(sK0)),$sum(sK0,$uminus(sK0))),
inference(backward_demodulation,[],[f18,f566]) ).
tff(f566,plain,
sK0 = sK1,
inference(subsumption_resolution,[],[f565,f8]) ).
tff(f565,plain,
( $less(sK1,sK1)
| ( sK0 = sK1 ) ),
inference(evaluation,[],[f564]) ).
tff(f564,plain,
( $less($sum(sK1,0),sK1)
| ( sK0 = sK1 ) ),
inference(forward_demodulation,[],[f563,f7]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f563,plain,
( $less($sum(sK1,$sum(sK0,$uminus(sK0))),sK1)
| ( sK0 = sK1 ) ),
inference(forward_demodulation,[],[f558,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f558,plain,
( ( sK0 = sK1 )
| $less($sum(sK1,$sum($uminus(sK0),sK0)),sK1) ),
inference(duplicate_literal_removal,[],[f547]) ).
tff(f547,plain,
( ( sK0 = sK1 )
| $less($sum(sK1,$sum($uminus(sK0),sK0)),sK1)
| ( sK0 = sK1 ) ),
inference(resolution,[],[f488,f190]) ).
tff(f190,plain,
! [X0: $int] :
( ~ $less(X0,sK0)
| $less(X0,sK1)
| ( sK0 = sK1 ) ),
inference(resolution,[],[f171,f14]) ).
tff(f14,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
tff(f171,plain,
! [X0: $int] :
( $less(sK0,$sum(X0,1))
| ( sK0 = sK1 )
| $less(X0,sK1) ),
inference(resolution,[],[f168,f12]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f168,plain,
! [X0: $int] :
( ~ $less(sK1,X0)
| ( sK0 = sK1 )
| $less(sK0,X0) ),
inference(resolution,[],[f150,f9]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f150,plain,
( $less(sK0,sK1)
| ( sK0 = sK1 ) ),
inference(resolution,[],[f10,f19]) ).
tff(f19,plain,
~ $less(sK1,sK0),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ~ $less(sK1,sK0)
& $less($sum(sK1,$uminus(sK0)),$sum(sK0,$uminus(sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int,X1: $int] :
( ~ $less(X1,X0)
& $less($sum(X1,$uminus(X0)),$sum(X0,$uminus(X1))) )
=> ( ~ $less(sK1,sK0)
& $less($sum(sK1,$uminus(sK0)),$sum(sK0,$uminus(sK1))) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int,X1: $int] :
( ~ $less(X1,X0)
& $less($sum(X1,$uminus(X0)),$sum(X0,$uminus(X1))) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int] :
( $less($sum(X1,$uminus(X0)),$sum(X0,$uminus(X1)))
=> $less(X1,X0) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int] :
( $less($sum(X1,$uminus(X0)),$sum(X0,$uminus(X1)))
=> $less(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_ineq) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f488,plain,
! [X0: $int] :
( $less($sum(sK1,$sum($uminus(sK0),X0)),X0)
| ( sK0 = sK1 ) ),
inference(forward_demodulation,[],[f382,f4]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f382,plain,
! [X0: $int] :
( ( sK0 = sK1 )
| $less($sum($sum(sK1,$uminus(sK0)),X0),X0) ),
inference(evaluation,[],[f380]) ).
tff(f380,plain,
! [X0: $int] :
( ( sK0 = sK1 )
| $less($sum($sum(sK1,$uminus(sK0)),X0),$sum(0,X0)) ),
inference(resolution,[],[f363,f11]) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_145,[]) ).
tff(f363,plain,
( $less($sum(sK1,$uminus(sK0)),0)
| ( sK0 = sK1 ) ),
inference(forward_demodulation,[],[f348,f7]) ).
tff(f348,plain,
( ( sK0 = sK1 )
| $less($sum(sK1,$uminus(sK0)),$sum(sK1,$uminus(sK1))) ),
inference(resolution,[],[f336,f85]) ).
tff(f85,plain,
! [X0: $int] :
( ~ $less($sum(sK0,$uminus(sK1)),X0)
| $less($sum(sK1,$uminus(sK0)),X0) ),
inference(resolution,[],[f9,f18]) ).
tff(f336,plain,
! [X0: $int] :
( $less($sum(sK0,X0),$sum(sK1,X0))
| ( sK0 = sK1 ) ),
inference(resolution,[],[f11,f150]) ).
tff(f18,plain,
$less($sum(sK1,$uminus(sK0)),$sum(sK0,$uminus(sK1))),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI572_1 : TPTP v8.1.2. Released v5.1.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n014.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 05:20:49 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (4465)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (4471)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (4470)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (4469)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (4472)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)
% 0.14/0.38 % (4466)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (4468)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)
% 0.14/0.38 % (4467)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (4466)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (4472)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (4469)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (4472)Terminated due to inappropriate strategy.
% 0.14/0.38 % (4472)------------------------------
% 0.14/0.38 % (4472)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (4472)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (4472)Memory used [KB]: 718
% 0.14/0.38 % (4472)Time elapsed: 0.002 s
% 0.14/0.38 % (4472)Instructions burned: 2 (million)
% 0.14/0.38 % (4472)------------------------------
% 0.14/0.38 % (4472)------------------------------
% 0.14/0.38 % (4469)Terminated due to inappropriate strategy.
% 0.14/0.38 % (4469)------------------------------
% 0.14/0.38 % (4469)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (4469)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (4469)Memory used [KB]: 718
% 0.14/0.38 % (4469)Time elapsed: 0.002 s
% 0.14/0.38 % (4469)Instructions burned: 2 (million)
% 0.14/0.38 % (4469)------------------------------
% 0.14/0.38 % (4469)------------------------------
% 0.14/0.38 % (4467)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (4466)Terminated due to inappropriate strategy.
% 0.14/0.38 % (4466)------------------------------
% 0.14/0.38 % (4466)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (4466)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (4466)Memory used [KB]: 718
% 0.14/0.38 % (4466)Time elapsed: 0.003 s
% 0.14/0.38 % (4466)Instructions burned: 2 (million)
% 0.14/0.38 % (4466)------------------------------
% 0.14/0.38 % (4466)------------------------------
% 0.14/0.38 % (4467)Terminated due to inappropriate strategy.
% 0.14/0.38 % (4467)------------------------------
% 0.14/0.38 % (4467)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (4467)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (4467)Memory used [KB]: 718
% 0.14/0.38 % (4467)Time elapsed: 0.003 s
% 0.14/0.38 % (4467)Instructions burned: 2 (million)
% 0.14/0.38 % (4467)------------------------------
% 0.14/0.38 % (4467)------------------------------
% 0.14/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.40 % (4473)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)
% 0.14/0.40 % (4475)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)
% 0.14/0.40 % (4474)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)
% 0.14/0.40 % (4473)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.40 % (4473)Terminated due to inappropriate strategy.
% 0.14/0.40 % (4473)------------------------------
% 0.14/0.40 % (4473)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.40 % (4473)Termination reason: Inappropriate
% 0.14/0.40
% 0.14/0.40 % (4473)Memory used [KB]: 718
% 0.14/0.40 % (4473)Time elapsed: 0.002 s
% 0.14/0.40 % (4475)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.40 % (4473)Instructions burned: 2 (million)
% 0.14/0.40 % (4473)------------------------------
% 0.14/0.40 % (4473)------------------------------
% 0.14/0.40 % (4475)Terminated due to inappropriate strategy.
% 0.14/0.40 % (4475)------------------------------
% 0.14/0.40 % (4475)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.40 % (4475)Termination reason: Inappropriate
% 0.14/0.40
% 0.14/0.40 % (4475)Memory used [KB]: 718
% 0.14/0.40 % (4475)Time elapsed: 0.002 s
% 0.14/0.40 % (4475)Instructions burned: 2 (million)
% 0.14/0.40 % (4475)------------------------------
% 0.14/0.40 % (4475)------------------------------
% 0.14/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.40 % (4476)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)
% 0.22/0.41 % (4470)First to succeed.
% 0.22/0.41 % (4470)Refutation found. Thanks to Tanya!
% 0.22/0.41 % SZS status Theorem for theBenchmark
% 0.22/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41 % (4470)------------------------------
% 0.22/0.41 % (4470)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.41 % (4470)Termination reason: Refutation
% 0.22/0.41
% 0.22/0.41 % (4470)Memory used [KB]: 950
% 0.22/0.41 % (4470)Time elapsed: 0.025 s
% 0.22/0.41 % (4470)Instructions burned: 43 (million)
% 0.22/0.41 % (4470)------------------------------
% 0.22/0.41 % (4470)------------------------------
% 0.22/0.41 % (4465)Success in time 0.029 s
%------------------------------------------------------------------------------