TSTP Solution File: ARI582_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI582_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 : n009.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 : Sun May 5 04:36:22 EDT 2024
% Result : Theorem 2.53s 0.79s
% Output : Refutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 18 unt; 2 typ; 0 def)
% Number of atoms : 44 ( 5 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 34 ( 17 ~; 8 |; 6 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 165 ( 38 atm; 62 fun; 32 num; 33 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 : 33 ( 27 !; 6 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
sK0: $int ).
tff(func_def_7,type,
sK1: $int ).
tff(f18403,plain,
$false,
inference(subsumption_resolution,[],[f18402,f18196]) ).
tff(f18196,plain,
~ $less($sum(sK0,sK1),$product(2,sK1)),
inference(resolution,[],[f18188,f48]) ).
tff(f48,plain,
! [X2: $int] :
( ~ $less($product(2,sK0),X2)
| ~ $less(X2,$product(2,sK1)) ),
inference(forward_demodulation,[],[f39,f14]) ).
tff(f14,plain,
! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f39,plain,
! [X2: $int] :
( ~ $less(X2,$product(2,sK1))
| ~ $less($product(sK0,2),X2) ),
inference(backward_demodulation,[],[f25,f14]) ).
tff(f25,plain,
! [X2: $int] :
( ~ $less(X2,$product(sK1,2))
| ~ $less($product(sK0,2),X2) ),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
( ! [X2: $int] :
( ~ $less(X2,$product(sK1,2))
| ~ $less($product(sK0,2),X2) )
& $less(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f21,f22]) ).
tff(f22,plain,
( ? [X0: $int,X1: $int] :
( ! [X2: $int] :
( ~ $less(X2,$product(X1,2))
| ~ $less($product(X0,2),X2) )
& $less(X0,X1) )
=> ( ! [X2: $int] :
( ~ $less(X2,$product(sK1,2))
| ~ $less($product(sK0,2),X2) )
& $less(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f21,plain,
? [X0: $int,X1: $int] :
( ! [X2: $int] :
( ~ $less(X2,$product(X1,2))
| ~ $less($product(X0,2),X2) )
& $less(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int] :
( $less(X0,X1)
=> ? [X2: $int] :
( $less(X2,$product(X1,2))
& $less($product(X0,2),X2) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int] :
( $less(X0,X1)
=> ? [X2: $int] :
( $less(X2,$product(X1,2))
& $less($product(X0,2),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mix_quant_ineq_sys_solvable_3) ).
tff(f18188,plain,
$less($product(2,sK0),$sum(sK0,sK1)),
inference(forward_demodulation,[],[f18187,f14]) ).
tff(f18187,plain,
$less($product(sK0,2),$sum(sK0,sK1)),
inference(forward_demodulation,[],[f18173,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f18173,plain,
$less($product(sK0,2),$sum(sK1,sK0)),
inference(evaluation,[],[f18172]) ).
tff(f18172,plain,
$less($product(sK0,$sum(1,1)),$sum(sK1,sK0)),
inference(superposition,[],[f4742,f16]) ).
tff(f16,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f4742,plain,
! [X0: $int] : $less($product(sK0,$sum(1,X0)),$sum(sK1,$product(sK0,X0))),
inference(superposition,[],[f410,f903]) ).
tff(f903,plain,
! [X0: $int,X1: $int] : ( $product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1)) ),
inference(superposition,[],[f18,f16]) ).
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(f410,plain,
! [X0: $int] : $less($sum(sK0,X0),$sum(sK1,X0)),
inference(resolution,[],[f11,f24]) ).
tff(f24,plain,
$less(sK0,sK1),
inference(cnf_transformation,[],[f23]) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_145,[]) ).
tff(f18402,plain,
$less($sum(sK0,sK1),$product(2,sK1)),
inference(forward_demodulation,[],[f18397,f14]) ).
tff(f18397,plain,
$less($sum(sK0,sK1),$product(sK1,2)),
inference(evaluation,[],[f18383]) ).
tff(f18383,plain,
$less($sum(sK0,sK1),$product(sK1,$sum(1,1))),
inference(superposition,[],[f4744,f16]) ).
tff(f4744,plain,
! [X0: $int] : $less($sum(sK0,$product(sK1,X0)),$product(sK1,$sum(1,X0))),
inference(superposition,[],[f410,f903]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ARI582_1 : TPTP v8.1.2. Released v5.1.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n009.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 21:51:23 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (19987)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (19991)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.38 % (19989)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38 % (19992)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.38 % (19990)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)
% 0.16/0.38 % (19993)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.38 % (19994)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)
% 0.16/0.38 % (19988)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.38 % (19989)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.38 % (19991)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.38 % (19989)Terminated due to inappropriate strategy.
% 0.16/0.38 % (19989)------------------------------
% 0.16/0.38 % (19989)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.38 % (19989)Termination reason: Inappropriate
% 0.16/0.38
% 0.16/0.38 % (19989)Memory used [KB]: 720
% 0.16/0.38 % (19989)Time elapsed: 0.003 s
% 0.16/0.38 % (19989)Instructions burned: 2 (million)
% 0.16/0.38 % (19994)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.38 % (19991)Terminated due to inappropriate strategy.
% 0.16/0.38 % (19991)------------------------------
% 0.16/0.38 % (19991)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.38 % (19991)Termination reason: Inappropriate
% 0.16/0.38
% 0.16/0.38 % (19991)Memory used [KB]: 720
% 0.16/0.38 % (19991)Time elapsed: 0.003 s
% 0.16/0.38 % (19991)Instructions burned: 2 (million)
% 0.16/0.38 % (19994)Terminated due to inappropriate strategy.
% 0.16/0.38 % (19994)------------------------------
% 0.16/0.38 % (19994)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.38 % (19994)Termination reason: Inappropriate
% 0.16/0.38
% 0.16/0.38 % (19994)Memory used [KB]: 720
% 0.16/0.38 % (19994)Time elapsed: 0.002 s
% 0.16/0.38 % (19994)Instructions burned: 2 (million)
% 0.16/0.38 % (19988)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.38 % (19988)Terminated due to inappropriate strategy.
% 0.16/0.38 % (19988)------------------------------
% 0.16/0.38 % (19988)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.38 % (19988)Termination reason: Inappropriate
% 0.16/0.38
% 0.16/0.38 % (19988)Memory used [KB]: 720
% 0.16/0.38 % (19988)Time elapsed: 0.002 s
% 0.16/0.38 % (19988)Instructions burned: 2 (million)
% 0.16/0.38 % (19989)------------------------------
% 0.16/0.38 % (19989)------------------------------
% 0.16/0.38 % (19991)------------------------------
% 0.16/0.38 % (19991)------------------------------
% 0.16/0.38 % (19994)------------------------------
% 0.16/0.38 % (19994)------------------------------
% 0.16/0.39 % (19988)------------------------------
% 0.16/0.39 % (19988)------------------------------
% 0.16/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.16/0.40 % (19995)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)
% 0.16/0.40 % (19996)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)
% 0.16/0.40 % (19997)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)
% 0.16/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.16/0.40 % (19995)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.40 % (19995)Terminated due to inappropriate strategy.
% 0.16/0.40 % (19995)------------------------------
% 0.16/0.40 % (19995)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.40 % (19995)Termination reason: Inappropriate
% 0.16/0.40
% 0.16/0.40 % (19995)Memory used [KB]: 720
% 0.16/0.40 % (19995)Time elapsed: 0.002 s
% 0.16/0.40 % (19995)Instructions burned: 2 (million)
% 0.16/0.40 % (19998)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)
% 0.16/0.40 % (19997)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.40 % (19995)------------------------------
% 0.16/0.40 % (19995)------------------------------
% 0.16/0.40 % (19997)Terminated due to inappropriate strategy.
% 0.16/0.40 % (19997)------------------------------
% 0.16/0.40 % (19997)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.40 % (19997)Termination reason: Inappropriate
% 0.16/0.40
% 0.16/0.40 % (19997)Memory used [KB]: 721
% 0.16/0.40 % (19997)Time elapsed: 0.002 s
% 0.16/0.40 % (19997)Instructions burned: 2 (million)
% 0.16/0.40 % (19997)------------------------------
% 0.16/0.40 % (19997)------------------------------
% 0.16/0.42 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.16/0.42 % (19999)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 2.53/0.79 % (19992)First to succeed.
% 2.53/0.79 % (19992)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19987"
% 2.53/0.79 % (19992)Refutation found. Thanks to Tanya!
% 2.53/0.79 % SZS status Theorem for theBenchmark
% 2.53/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 2.53/0.79 % (19992)------------------------------
% 2.53/0.79 % (19992)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.53/0.79 % (19992)Termination reason: Refutation
% 2.53/0.79
% 2.53/0.79 % (19992)Memory used [KB]: 7274
% 2.53/0.79 % (19992)Time elapsed: 0.404 s
% 2.53/0.79 % (19992)Instructions burned: 1204 (million)
% 2.53/0.79 % (19987)Success in time 0.413 s
%------------------------------------------------------------------------------