TSTP Solution File: ARI652_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI652_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 10:35:46 EDT 2024
% Result : Theorem 9.09s 1.66s
% Output : Refutation 9.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 51 ( 42 unt; 1 typ; 0 def)
% Number of atoms : 59 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 21 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 244 ( 39 atm; 99 fun; 60 num; 46 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 1 usr; 8 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $int ).
tff(f91791,plain,
$false,
inference(evaluation,[],[f91075]) ).
tff(f91075,plain,
1 != $product(-1,-1),
inference(superposition,[],[f25,f89446]) ).
tff(f89446,plain,
a = -1,
inference(unit_resulting_resolution,[],[f65038,f87803,f13]) ).
tff(f13,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f87803,plain,
~ $less(-1,a),
inference(evaluation,[],[f87767]) ).
tff(f87767,plain,
~ $less($sum(0,-1),a),
inference(unit_resulting_resolution,[],[f87530,f20683]) ).
tff(f20683,plain,
! [X0: $int,X1: $int] :
( ~ $less($sum(X1,-1),X0)
| ~ $less(X0,X1) ),
inference(evaluation,[],[f20673]) ).
tff(f20673,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,0))
| ~ $less($sum(X1,$uminus(1)),X0) ),
inference(superposition,[],[f1209,f30]) ).
tff(f30,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f10,f16]) ).
tff(f16,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f10,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f1209,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X2,$sum(X0,$sum(X1,1)))
| ~ $less($sum(X0,X1),X2) ),
inference(superposition,[],[f23,f7]) ).
tff(f7,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f23,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
tff(f87530,plain,
$less(a,0),
inference(evaluation,[],[f87529]) ).
tff(f87529,plain,
$less($uminus($uminus(a)),0),
inference(forward_demodulation,[],[f87402,f6826]) ).
tff(f6826,plain,
! [X0: $int,X1: $int] : ( $uminus(X1) = $sum(X0,$uminus($sum(X0,X1))) ),
inference(superposition,[],[f1215,f511]) ).
tff(f511,plain,
! [X0: $int,X1: $int] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f9,f6]) ).
tff(f6,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f9,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_139,[]) ).
tff(f1215,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f1194]) ).
tff(f1194,plain,
! [X0: $int,X1: $int] : ( $sum(0,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f7,f10]) ).
tff(f87402,plain,
$less($sum(-2,$uminus($sum(-2,$uminus(a)))),0),
inference(superposition,[],[f899,f1201]) ).
tff(f1201,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$uminus($sum(X0,X1)))) ),
inference(superposition,[],[f7,f10]) ).
tff(f899,plain,
! [X0: $int] : $less($sum(-2,X0),$sum(-2,$sum($uminus(a),X0))),
inference(forward_demodulation,[],[f864,f7]) ).
tff(f864,plain,
! [X0: $int] : $less($sum(-2,X0),$sum($sum(-2,$uminus(a)),X0)),
inference(unit_resulting_resolution,[],[f62,f14]) ).
tff(f14,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_145,[]) ).
tff(f62,plain,
$less(-2,$sum(-2,$uminus(a))),
inference(evaluation,[],[f55]) ).
tff(f55,plain,
$less(-2,$sum($sum(-3,$uminus(a)),1)),
inference(unit_resulting_resolution,[],[f26,f15]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f26,plain,
~ $less($sum(-3,$uminus(a)),-2),
inference(cnf_transformation,[],[f5]) ).
tff(f5,plain,
~ $less($sum(-3,$uminus(a)),-2),
inference(theory_normalization,[],[f2]) ).
tff(f2,axiom,
$lesseq(-2,$difference(-3,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_001) ).
tff(f65038,plain,
~ $less(a,-1),
inference(evaluation,[],[f65030]) ).
tff(f65030,plain,
~ $less(a,$sum(1,-2)),
inference(unit_resulting_resolution,[],[f64985,f84]) ).
tff(f84,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ),
inference(superposition,[],[f23,f6]) ).
tff(f64985,plain,
$less(-2,a),
inference(evaluation,[],[f64921]) ).
tff(f64921,plain,
$less($uminus(2),a),
inference(superposition,[],[f5774,f5168]) ).
tff(f5168,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum(X1,$uminus(X0))) = X1 ),
inference(superposition,[],[f1215,f6]) ).
tff(f5774,plain,
! [X0: $int] : $less(X0,$sum(2,$sum(a,X0))),
inference(evaluation,[],[f5762]) ).
tff(f5762,plain,
! [X0: $int] : $less(X0,$sum(4,$sum(a,$sum($uminus(2),X0)))),
inference(superposition,[],[f904,f1215]) ).
tff(f904,plain,
! [X0: $int] : $less($sum(2,X0),$sum(4,$sum(a,X0))),
inference(forward_demodulation,[],[f859,f7]) ).
tff(f859,plain,
! [X0: $int] : $less($sum(2,X0),$sum($sum(4,a),X0)),
inference(unit_resulting_resolution,[],[f29,f14]) ).
tff(f29,plain,
$less(2,$sum(4,a)),
inference(forward_demodulation,[],[f27,f6]) ).
tff(f27,plain,
$less(2,$sum(a,4)),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
$less(2,$sum(a,4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
tff(f25,plain,
$product(a,a) != 1,
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
$product(a,a) != 1,
inference(flattening,[],[f4]) ).
tff(f4,negated_conjecture,
( ~ $product(a,a) = 1 ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
$product(a,a) = 1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_002) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI652_1 : TPTP v8.1.2. Released v6.3.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 06:06:26 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (28820)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (28821)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (28821)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.38 % (28821)Terminated due to inappropriate strategy.
% 0.21/0.38 % (28821)------------------------------
% 0.21/0.38 % (28821)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.38 % (28821)Termination reason: Inappropriate
% 0.21/0.38
% 0.21/0.38 % (28821)Memory used [KB]: 723
% 0.21/0.38 % (28821)Time elapsed: 0.002 s
% 0.21/0.38 % (28821)Instructions burned: 2 (million)
% 0.21/0.38 % (28821)------------------------------
% 0.21/0.38 % (28821)------------------------------
% 0.21/0.38 % (28823)WARNING: value z3 for option sas not known
% 0.21/0.39 % (28822)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39 % (28824)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39 % (28827)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.39 % (28823)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39 % (28822)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.39 % (28826)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.39 % (28822)Terminated due to inappropriate strategy.
% 0.21/0.39 % (28822)------------------------------
% 0.21/0.39 % (28822)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.39 % (28822)Termination reason: Inappropriate
% 0.21/0.39
% 0.21/0.39 % (28822)Memory used [KB]: 724
% 0.21/0.39 % (28822)Time elapsed: 0.003 s
% 0.21/0.39 % (28822)Instructions burned: 2 (million)
% 0.21/0.39 % (28825)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.39 % (28822)------------------------------
% 0.21/0.39 % (28822)------------------------------
% 0.21/0.39 % (28824)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.39 % (28824)Terminated due to inappropriate strategy.
% 0.21/0.39 % (28824)------------------------------
% 0.21/0.39 % (28824)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.39 % (28824)Termination reason: Inappropriate
% 0.21/0.39
% 0.21/0.39 % (28824)Memory used [KB]: 723
% 0.21/0.39 % (28824)Time elapsed: 0.003 s
% 0.21/0.39 % (28824)Instructions burned: 2 (million)
% 0.21/0.39 % (28824)------------------------------
% 0.21/0.39 % (28824)------------------------------
% 0.21/0.41 % (28829)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.21/0.41 % (28828)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.21/0.41 % (28828)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.41 % (28828)Terminated due to inappropriate strategy.
% 0.21/0.41 % (28828)------------------------------
% 0.21/0.41 % (28828)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.41 % (28828)Termination reason: Inappropriate
% 0.21/0.41
% 0.21/0.41 % (28828)Memory used [KB]: 723
% 0.21/0.41 % (28828)Time elapsed: 0.004 s
% 0.21/0.41 % (28828)Instructions burned: 2 (million)
% 0.21/0.41 % (28828)------------------------------
% 0.21/0.41 % (28828)------------------------------
% 0.21/0.42 % (28830)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.21/0.43 % (28831)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 9.09/1.65 % (28829)First to succeed.
% 9.09/1.66 % (28829)Refutation found. Thanks to Tanya!
% 9.09/1.66 % SZS status Theorem for theBenchmark
% 9.09/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 9.09/1.66 % (28829)------------------------------
% 9.09/1.66 % (28829)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 9.09/1.66 % (28829)Termination reason: Refutation
% 9.09/1.66
% 9.09/1.66 % (28829)Memory used [KB]: 12785
% 9.09/1.66 % (28829)Time elapsed: 1.253 s
% 9.09/1.66 % (28829)Instructions burned: 2724 (million)
% 9.09/1.66 % (28829)------------------------------
% 9.09/1.66 % (28829)------------------------------
% 9.09/1.66 % (28820)Success in time 1.288 s
%------------------------------------------------------------------------------