TSTP Solution File: ARI586_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI586_1 : TPTP v8.2.0. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 : Mon May 20 18:50:43 EDT 2024
% Result : Theorem 180.22s 34.32s
% Output : Refutation 180.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 38 ( 17 unt; 1 typ; 0 def)
% Number of atoms : 68 ( 17 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 50 ( 19 ~; 22 |; 6 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 235 ( 50 atm; 85 fun; 62 num; 38 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 : 7 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 38 ( 34 !; 4 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
sK0: $int ).
tff(f1139655,plain,
$false,
inference(subsumption_resolution,[],[f1139654,f8]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f1139654,plain,
$less($product(3,sK0),$product(3,sK0)),
inference(forward_demodulation,[],[f1139624,f14]) ).
tff(f14,plain,
! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f1139624,plain,
$less($product(3,sK0),$product(sK0,3)),
inference(evaluation,[],[f1139285]) ).
tff(f1139285,plain,
$less($product(3,sK0),$product(sK0,$sum(1,2))),
inference(superposition,[],[f31377,f1139166]) ).
tff(f1139166,plain,
$product(3,sK0) = $product(2,sK0),
inference(subsumption_resolution,[],[f1139165,f8]) ).
tff(f1139165,plain,
( $less($product(3,sK0),$product(3,sK0))
| ( $product(3,sK0) = $product(2,sK0) ) ),
inference(forward_demodulation,[],[f1139164,f14]) ).
tff(f1139164,plain,
( ( $product(3,sK0) = $product(2,sK0) )
| $less($product(3,sK0),$product(sK0,3)) ),
inference(evaluation,[],[f1139163]) ).
tff(f1139163,plain,
( ( $product(3,sK0) = $product(2,sK0) )
| $less($product(3,sK0),$product(sK0,$sum(1,2))) ),
inference(forward_demodulation,[],[f1139162,f2199]) ).
tff(f2199,plain,
! [X0: $int,X1: $int] : ( $product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1)) ),
inference(superposition,[],[f18,f16]) ).
tff(f16,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f18,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
introduced(theory_axiom_150,[]) ).
tff(f1139162,plain,
( ( $product(3,sK0) = $product(2,sK0) )
| $less($product(3,sK0),$sum(sK0,$product(sK0,2))) ),
inference(forward_demodulation,[],[f1139161,f14]) ).
tff(f1139161,plain,
( ( $product(3,sK0) = $product(sK0,2) )
| $less($product(3,sK0),$sum(sK0,$product(sK0,2))) ),
inference(forward_demodulation,[],[f1139160,f11461]) ).
tff(f11461,plain,
! [X0: $int] : ( $sum(X0,X0) = $product(X0,2) ),
inference(evaluation,[],[f11392]) ).
tff(f11392,plain,
! [X0: $int] : ( $product(X0,$sum(1,1)) = $sum(X0,X0) ),
inference(superposition,[],[f2199,f16]) ).
tff(f1139160,plain,
( ( $product(3,sK0) = $sum(sK0,sK0) )
| $less($product(3,sK0),$sum(sK0,$product(sK0,2))) ),
inference(forward_demodulation,[],[f32789,f11461]) ).
tff(f32789,plain,
( $less($product(3,sK0),$sum(sK0,$sum(sK0,sK0)))
| ( $product(3,sK0) = $sum(sK0,sK0) ) ),
inference(resolution,[],[f2676,f916]) ).
tff(f916,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(sK0,X1)) ),
inference(resolution,[],[f909,f9]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| $less(X0,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_143,[]) ).
tff(f909,plain,
! [X0: $int] : $less(X0,$sum(sK0,X0)),
inference(evaluation,[],[f856]) ).
tff(f856,plain,
! [X0: $int] : $less($sum(0,X0),$sum(sK0,X0)),
inference(resolution,[],[f11,f24]) ).
tff(f24,plain,
$less(0,sK0),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
( ! [X1: $int] :
( ~ $less(X1,$product(sK0,3))
| ~ $less(sK0,X1) )
& $less(0,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f22]) ).
tff(f22,plain,
( ? [X0: $int] :
( ! [X1: $int] :
( ~ $less(X1,$product(X0,3))
| ~ $less(X0,X1) )
& $less(0,X0) )
=> ( ! [X1: $int] :
( ~ $less(X1,$product(sK0,3))
| ~ $less(sK0,X1) )
& $less(0,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f21,plain,
? [X0: $int] :
( ! [X1: $int] :
( ~ $less(X1,$product(X0,3))
| ~ $less(X0,X1) )
& $less(0,X0) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( $less(0,X0)
=> ? [X1: $int] :
( $less(X0,X1)
& $less(X1,$product(X0,3)) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( $less(0,X0)
=> ? [X1: $int] :
( $less(X0,X1)
& $less(X1,$product(X0,3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exists_Y_between_X_and_3X) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_145,[]) ).
tff(f2676,plain,
( $less($product(3,sK0),$sum(sK0,sK0))
| ( $product(3,sK0) = $sum(sK0,sK0) ) ),
inference(resolution,[],[f447,f909]) ).
tff(f447,plain,
! [X0: $int] :
( ~ $less(sK0,X0)
| $less($product(3,sK0),X0)
| ( $product(3,sK0) = X0 ) ),
inference(resolution,[],[f10,f39]) ).
tff(f39,plain,
! [X1: $int] :
( ~ $less(X1,$product(3,sK0))
| ~ $less(sK0,X1) ),
inference(backward_demodulation,[],[f25,f14]) ).
tff(f25,plain,
! [X1: $int] :
( ~ $less(X1,$product(sK0,3))
| ~ $less(sK0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f31377,plain,
! [X0: $int] : $less($product(X0,sK0),$product(sK0,$sum(1,X0))),
inference(superposition,[],[f11433,f14]) ).
tff(f11433,plain,
! [X0: $int] : $less($product(sK0,X0),$product(sK0,$sum(1,X0))),
inference(superposition,[],[f909,f2199]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ARI586_1 : TPTP v8.2.0. Released v5.1.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 12:57:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (10188)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (10192)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38 % (10189)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 % (10195)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 % (10193)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (10190)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (10196)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)
% 0.22/0.38 % (10191)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)
% 0.22/0.38 % (10189)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.38 % (10192)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.38 % (10189)Terminated due to inappropriate strategy.
% 0.22/0.38 % (10189)------------------------------
% 0.22/0.38 % (10189)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (10189)Termination reason: Inappropriate
% 0.22/0.38
% 0.22/0.38 % (10189)Memory used [KB]: 720
% 0.22/0.38 % (10189)Time elapsed: 0.003 s
% 0.22/0.38 % (10189)Instructions burned: 2 (million)
% 0.22/0.38 % (10192)Terminated due to inappropriate strategy.
% 0.22/0.38 % (10192)------------------------------
% 0.22/0.38 % (10192)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (10192)Termination reason: Inappropriate
% 0.22/0.38
% 0.22/0.38 % (10192)Memory used [KB]: 720
% 0.22/0.38 % (10192)Time elapsed: 0.002 s
% 0.22/0.38 % (10192)Instructions burned: 2 (million)
% 0.22/0.38 % (10190)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.38 % (10190)Terminated due to inappropriate strategy.
% 0.22/0.38 % (10190)------------------------------
% 0.22/0.38 % (10190)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (10190)Termination reason: Inappropriate
% 0.22/0.38
% 0.22/0.38 % (10190)Memory used [KB]: 720
% 0.22/0.38 % (10190)Time elapsed: 0.003 s
% 0.22/0.38 % (10190)Instructions burned: 2 (million)
% 0.22/0.38 % (10196)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.38 % (10196)Terminated due to inappropriate strategy.
% 0.22/0.38 % (10196)------------------------------
% 0.22/0.38 % (10196)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (10196)Termination reason: Inappropriate
% 0.22/0.38
% 0.22/0.38 % (10196)Memory used [KB]: 720
% 0.22/0.38 % (10196)Time elapsed: 0.002 s
% 0.22/0.38 % (10196)Instructions burned: 2 (million)
% 0.22/0.38 % (10189)------------------------------
% 0.22/0.38 % (10189)------------------------------
% 0.22/0.38 % (10192)------------------------------
% 0.22/0.38 % (10192)------------------------------
% 0.22/0.38 % (10190)------------------------------
% 0.22/0.38 % (10190)------------------------------
% 0.22/0.38 % (10196)------------------------------
% 0.22/0.38 % (10196)------------------------------
% 0.22/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.22/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.22/0.40 % (10197)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)
% 0.22/0.40 % (10198)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)
% 0.22/0.40 % (10200)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)
% 0.22/0.40 % (10199)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)
% 0.22/0.40 % (10197)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.40 % (10197)Terminated due to inappropriate strategy.
% 0.22/0.40 % (10197)------------------------------
% 0.22/0.40 % (10197)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.40 % (10197)Termination reason: Inappropriate
% 0.22/0.40
% 0.22/0.40 % (10197)Memory used [KB]: 720
% 0.22/0.40 % (10197)Time elapsed: 0.002 s
% 0.22/0.40 % (10197)Instructions burned: 2 (million)
% 0.22/0.40 % (10197)------------------------------
% 0.22/0.40 % (10197)------------------------------
% 0.22/0.40 % (10199)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.40 % (10199)Terminated due to inappropriate strategy.
% 0.22/0.40 % (10199)------------------------------
% 0.22/0.40 % (10199)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.40 % (10199)Termination reason: Inappropriate
% 0.22/0.40
% 0.22/0.40 % (10199)Memory used [KB]: 720
% 0.22/0.40 % (10199)Time elapsed: 0.002 s
% 0.22/0.40 % (10199)Instructions burned: 2 (million)
% 0.22/0.40 % (10199)------------------------------
% 0.22/0.40 % (10199)------------------------------
% 0.22/0.42 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.22/0.42 % (10201)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 130.65/22.08 % (10195)Time limit reached!
% 130.65/22.08 % (10195)------------------------------
% 130.65/22.08 % (10195)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 130.65/22.08 % (10195)Termination reason: Time limit
% 130.65/22.08 % (10195)Termination phase: Saturation
% 130.65/22.08
% 130.65/22.08 % (10195)Memory used [KB]: 185955
% 130.65/22.08 % (10195)Time elapsed: 21.700 s
% 130.65/22.08 % (10195)Instructions burned: 86154 (million)
% 130.65/22.08 % (10195)------------------------------
% 130.65/22.08 % (10195)------------------------------
% 130.99/22.11 % (10201)Time limit reached!
% 130.99/22.11 % (10201)------------------------------
% 130.99/22.11 % (10201)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 130.99/22.11 % (10201)Termination reason: Time limit
% 130.99/22.11 % (10201)Termination phase: Saturation
% 130.99/22.11
% 130.99/22.11 % (10201)Memory used [KB]: 185218
% 130.99/22.11 % (10201)Time elapsed: 21.700 s
% 130.99/22.11 % (10201)Instructions burned: 82068 (million)
% 130.99/22.11 % (10201)------------------------------
% 130.99/22.11 % (10201)------------------------------
% 179.97/34.28 % (10200)First to succeed.
% 179.97/34.28 % (10200)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10188"
% 180.22/34.32 % (10200)Refutation found. Thanks to Tanya!
% 180.22/34.32 % SZS status Theorem for theBenchmark
% 180.22/34.32 % SZS output start Proof for theBenchmark
% See solution above
% 180.22/34.32 % (10200)------------------------------
% 180.22/34.32 % (10200)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 180.22/34.32 % (10200)Termination reason: Refutation
% 180.22/34.32
% 180.22/34.32 % (10200)Memory used [KB]: 379199
% 180.22/34.32 % (10200)Time elapsed: 33.886 s
% 180.22/34.32 % (10200)Instructions burned: 128766 (million)
% 180.22/34.32 % (10188)Success in time 33.961 s
%------------------------------------------------------------------------------