TSTP Solution File: NUM919_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM919_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 May 21 02:14:18 EDT 2024
% Result : Theorem 1.78s 0.69s
% Output : Refutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 29 ( 14 unt; 2 typ; 0 def)
% Number of atoms : 50 ( 5 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 42 ( 19 ~; 11 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 133 ( 44 atm; 30 fun; 15 num; 44 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 : 7 ( 2 usr; 4 con; 0-2 aty)
% Number of variables : 44 ( 34 !; 10 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(func_def_5,type,
sK1: $int > $int ).
tff(f14214,plain,
$false,
inference(subsumption_resolution,[],[f14127,f798]) ).
tff(f798,plain,
$less(sK1($sum(-1,sK0)),sK0),
inference(resolution,[],[f760,f20]) ).
tff(f20,plain,
! [X1: $int] :
( ~ $less(X1,sK0)
| $less(sK1(X1),sK0) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
! [X1: $int] :
( ( $less(sK1(X1),sK0)
& $less(X1,sK1(X1)) )
| ~ $less(X1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f17,f16]) ).
tff(f16,plain,
( ? [X0: $int] :
! [X1: $int] :
( ? [X2: $int] :
( $less(X2,X0)
& $less(X1,X2) )
| ~ $less(X1,X0) )
=> ! [X1: $int] :
( ? [X2: $int] :
( $less(X2,sK0)
& $less(X1,X2) )
| ~ $less(X1,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
! [X1: $int] :
( ? [X2: $int] :
( $less(X2,sK0)
& $less(X1,X2) )
=> ( $less(sK1(X1),sK0)
& $less(X1,sK1(X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] :
! [X1: $int] :
( ? [X2: $int] :
( $less(X2,X0)
& $less(X1,X2) )
| ~ $less(X1,X0) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
? [X1: $int] :
( $less(X1,X0)
& ~ ? [X2: $int] :
( $less(X2,X0)
& $less(X1,X2) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
? [X1: $int] :
( $less(X1,X0)
& ~ ? [X2: $int] :
( $less(X2,X0)
& $less(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f760,plain,
! [X0: $int] : $less($sum(-1,X0),X0),
inference(evaluation,[],[f748]) ).
tff(f748,plain,
! [X0: $int] : $less($sum($uminus(1),X0),X0),
inference(superposition,[],[f38,f482]) ).
tff(f482,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f465]) ).
tff(f465,plain,
! [X0: $int,X1: $int] : ( $sum(0,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f4,f7]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f38,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f33,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f33,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f12,f8]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f14127,plain,
~ $less(sK1($sum(-1,sK0)),sK0),
inference(resolution,[],[f762,f799]) ).
tff(f799,plain,
$less($sum(-1,sK0),sK1($sum(-1,sK0))),
inference(resolution,[],[f760,f19]) ).
tff(f19,plain,
! [X1: $int] :
( ~ $less(X1,sK0)
| $less(X1,sK1(X1)) ),
inference(cnf_transformation,[],[f18]) ).
tff(f762,plain,
! [X0: $int,X1: $int] :
( ~ $less($sum(-1,X0),X1)
| ~ $less(X1,X0) ),
inference(evaluation,[],[f746]) ).
tff(f746,plain,
! [X0: $int,X1: $int] :
( ~ $less($sum($uminus(1),X0),X1)
| ~ $less(X1,X0) ),
inference(superposition,[],[f57,f482]) ).
tff(f57,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ),
inference(superposition,[],[f14,f3]) ).
tff(f14,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM919_1 : TPTP v8.2.0. Released v5.0.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 07:32:22 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (10806)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (10808)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (10808)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36 % (10808)Terminated due to inappropriate strategy.
% 0.13/0.36 % (10808)------------------------------
% 0.13/0.36 % (10808)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36 % (10808)Termination reason: Inappropriate
% 0.13/0.36
% 0.13/0.36 % (10808)Memory used [KB]: 718
% 0.13/0.36 % (10808)Time elapsed: 0.002 s
% 0.13/0.36 % (10808)Instructions burned: 2 (million)
% 0.13/0.36 % (10808)------------------------------
% 0.13/0.36 % (10808)------------------------------
% 0.13/0.37 % (10807)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.38 % (10809)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)
% 0.13/0.38 % (10811)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.38 % (10807)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.38 % (10807)Terminated due to inappropriate strategy.
% 0.13/0.38 % (10807)------------------------------
% 0.13/0.38 % (10807)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (10807)Termination reason: Inappropriate
% 0.13/0.38
% 0.13/0.38 % (10807)Memory used [KB]: 718
% 0.13/0.38 % (10807)Time elapsed: 0.002 s
% 0.13/0.38 % (10807)Instructions burned: 2 (million)
% 0.13/0.38 % (10807)------------------------------
% 0.13/0.38 % (10807)------------------------------
% 0.13/0.38 % (10810)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.38 % (10810)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.38 % (10810)Terminated due to inappropriate strategy.
% 0.13/0.38 % (10810)------------------------------
% 0.13/0.38 % (10810)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (10810)Termination reason: Inappropriate
% 0.13/0.38
% 0.13/0.38 % (10810)Memory used [KB]: 718
% 0.13/0.38 % (10810)Time elapsed: 0.001 s
% 0.13/0.38 % (10810)Instructions burned: 2 (million)
% 0.13/0.38 % (10810)------------------------------
% 0.13/0.38 % (10810)------------------------------
% 0.13/0.38 % (10813)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)
% 0.13/0.38 % (10812)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.38 % (10813)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.38 % (10813)Terminated due to inappropriate strategy.
% 0.13/0.38 % (10813)------------------------------
% 0.13/0.38 % (10813)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (10813)Termination reason: Inappropriate
% 0.13/0.38
% 0.13/0.38 % (10813)Memory used [KB]: 719
% 0.13/0.38 % (10813)Time elapsed: 0.002 s
% 0.13/0.38 % (10813)Instructions burned: 2 (million)
% 0.13/0.38 % (10813)------------------------------
% 0.13/0.38 % (10813)------------------------------
% 0.13/0.38 % (10814)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)
% 0.13/0.38 % (10814)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.38 % (10814)Terminated due to inappropriate strategy.
% 0.13/0.38 % (10814)------------------------------
% 0.13/0.38 % (10814)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (10814)Termination reason: Inappropriate
% 0.13/0.38
% 0.13/0.38 % (10814)Memory used [KB]: 719
% 0.13/0.38 % (10814)Time elapsed: 0.002 s
% 0.13/0.38 % (10814)Instructions burned: 2 (million)
% 0.13/0.38 % (10814)------------------------------
% 0.13/0.38 % (10814)------------------------------
% 0.13/0.39 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.13/0.39 % (10816)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)
% 0.13/0.39 % (10815)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)
% 0.13/0.39 % (10816)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.39 % (10816)Terminated due to inappropriate strategy.
% 0.13/0.39 % (10816)------------------------------
% 0.13/0.39 % (10816)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39 % (10816)Termination reason: Inappropriate
% 0.13/0.39
% 0.13/0.39 % (10816)Memory used [KB]: 719
% 0.13/0.39 % (10816)Time elapsed: 0.002 s
% 0.13/0.39 % (10816)Instructions burned: 2 (million)
% 0.13/0.39 % (10816)------------------------------
% 0.13/0.39 % (10816)------------------------------
% 0.13/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.13/0.40 % (10818)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.13/0.40 % (10817)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)
% 1.78/0.69 % (10817)First to succeed.
% 1.78/0.69 % (10817)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10806"
% 1.78/0.69 % (10817)Refutation found. Thanks to Tanya!
% 1.78/0.69 % SZS status Theorem for theBenchmark
% 1.78/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 1.78/0.69 % (10817)------------------------------
% 1.78/0.69 % (10817)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.78/0.69 % (10817)Termination reason: Refutation
% 1.78/0.69
% 1.78/0.69 % (10817)Memory used [KB]: 3574
% 1.78/0.69 % (10817)Time elapsed: 0.295 s
% 1.78/0.69 % (10817)Instructions burned: 944 (million)
% 1.78/0.69 % (10806)Success in time 0.344 s
%------------------------------------------------------------------------------