TSTP Solution File: ARI632_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI632_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 10:35:45 EDT 2024
% Result : Theorem 26.49s 4.78s
% Output : Refutation 26.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 58 ( 22 unt; 5 typ; 0 def)
% Number of atoms : 86 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 68 ( 35 ~; 28 |; 0 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 183 ( 45 atm; 88 fun; 2 num; 48 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
x: $real ).
tff(func_def_1,type,
y: $real ).
tff(func_def_2,type,
u: $real ).
tff(func_def_3,type,
v: $real ).
tff(func_def_4,type,
f: $real > $real ).
tff(f104925,plain,
$false,
inference(avatar_sat_refutation,[],[f74972,f78003,f104924]) ).
tff(f104924,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f104923]) ).
tff(f104923,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f104916,f24]) ).
tff(f24,plain,
~ $less(y,x),
inference(cnf_transformation,[],[f6]) ).
tff(f6,plain,
~ $less(y,x),
inference(theory_normalization,[],[f3]) ).
tff(f3,axiom,
$lesseq(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis_01) ).
tff(f104916,plain,
( $less(y,x)
| ~ spl0_2 ),
inference(resolution,[],[f103105,f23]) ).
tff(f23,plain,
! [X0: $real,X1: $real] :
( ~ $less(f(X0),f(X1))
| $less(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: $real,X1: $real] :
( ~ $less(f(X0),f(X1))
| $less(X0,X1) ),
inference(rectify,[],[f21]) ).
tff(f21,plain,
! [X1: $real,X0: $real] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ),
inference(ennf_transformation,[],[f20]) ).
tff(f20,plain,
! [X0: $real,X1: $real] :
( ~ $less(X1,X0)
=> ~ $less(f(X1),f(X0)) ),
inference(rectify,[],[f7]) ).
tff(f7,plain,
! [X1: $real,X0: $real] :
( ~ $less(X0,X1)
=> ~ $less(f(X0),f(X1)) ),
inference(theory_normalization,[],[f1]) ).
tff(f1,axiom,
! [X1: $real,X0: $real] :
( $greatereq(X0,X1)
=> $greatereq(f(X0),f(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_non_decreasing) ).
tff(f103105,plain,
( $less(f(y),f(x))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f103098,f225]) ).
tff(f225,plain,
! [X0: $real,X1: $real] : ( $sum(X0,$sum(X1,$uminus(X0))) = X1 ),
inference(superposition,[],[f171,f8]) ).
tff(f8,plain,
! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f171,plain,
! [X0: $real,X1: $real] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f154]) ).
tff(f154,plain,
! [X0: $real,X1: $real] : ( $sum(0.0,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f9,f12]) ).
tff(f12,plain,
! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f9,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f103098,plain,
( $less($sum(u,$sum(f(y),$uminus(u))),f(x))
| ~ spl0_2 ),
inference(resolution,[],[f75199,f175]) ).
tff(f175,plain,
! [X0: $real,X1: $real] :
( ~ $less($sum(v,X0),X1)
| $less($sum(u,X0),X1) ),
inference(resolution,[],[f116,f14]) ).
tff(f14,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f116,plain,
! [X0: $real] : $less($sum(u,X0),$sum(v,X0)),
inference(resolution,[],[f16,f26]) ).
tff(f26,plain,
$less(u,v),
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
$less(u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis) ).
tff(f16,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_145,[]) ).
tff(f75199,plain,
( $less($sum(v,$sum(f(y),$uminus(u))),f(x))
| ~ spl0_2 ),
inference(superposition,[],[f75047,f225]) ).
tff(f75047,plain,
( ! [X0: $real] : $less($sum(v,$sum(f(y),X0)),$sum(u,$sum(f(x),X0)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f75046,f9]) ).
tff(f75046,plain,
( ! [X0: $real] : $less($sum($sum(v,f(y)),X0),$sum(u,$sum(f(x),X0)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f75042,f9]) ).
tff(f75042,plain,
( ! [X0: $real] : $less($sum($sum(v,f(y)),X0),$sum($sum(u,f(x)),X0))
| ~ spl0_2 ),
inference(resolution,[],[f73,f16]) ).
tff(f73,plain,
( $less($sum(v,f(y)),$sum(u,f(x)))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f71]) ).
tff(f71,plain,
( spl0_2
<=> $less($sum(v,f(y)),$sum(u,f(x))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f78003,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f77963,f71,f67]) ).
tff(f67,plain,
( spl0_1
<=> ( $sum(u,f(x)) = $sum(v,f(y)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f77963,plain,
( ( $sum(u,f(x)) = $sum(v,f(y)) )
| $less($sum(v,f(y)),$sum(u,f(x))) ),
inference(resolution,[],[f25,f15]) ).
tff(f15,plain,
! [X0: $real,X1: $real] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f25,plain,
~ $less($sum(u,f(x)),$sum(v,f(y))),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
~ $less($sum(u,f(x)),$sum(v,f(y))),
inference(flattening,[],[f5]) ).
tff(f5,negated_conjecture,
~ $less($sum(u,f(x)),$sum(v,f(y))),
inference(negated_conjecture,[],[f4]) ).
tff(f4,conjecture,
$less($sum(u,f(x)),$sum(v,f(y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion) ).
tff(f74972,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f74971]) ).
tff(f74971,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f74966,f24]) ).
tff(f74966,plain,
( $less(y,x)
| ~ spl0_1 ),
inference(resolution,[],[f74877,f23]) ).
tff(f74877,plain,
( $less(f(y),f(x))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f74449,f225]) ).
tff(f74449,plain,
( $less(f(y),$sum(u,$sum(f(x),$uminus(u))))
| ~ spl0_1 ),
inference(superposition,[],[f234,f71635]) ).
tff(f71635,plain,
( ! [X0: $real] : ( $sum(u,$sum(f(x),X0)) = $sum(v,$sum(X0,f(y))) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f71634,f9]) ).
tff(f71634,plain,
( ! [X0: $real] : ( $sum($sum(u,f(x)),X0) = $sum(v,$sum(X0,f(y))) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f71461,f162]) ).
tff(f162,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f9,f8]) ).
tff(f71461,plain,
( ! [X0: $real] : ( $sum($sum(u,f(x)),X0) = $sum(f(y),$sum(v,X0)) )
| ~ spl0_1 ),
inference(superposition,[],[f155,f69]) ).
tff(f69,plain,
( ( $sum(u,f(x)) = $sum(v,f(y)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f67]) ).
tff(f155,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2) ),
inference(superposition,[],[f9,f8]) ).
tff(f234,plain,
! [X0: $real] : $less(X0,$sum(v,$sum($uminus(u),X0))),
inference(superposition,[],[f116,f171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ARI632_1 : TPTP v8.1.2. Released v6.3.0.
% 0.12/0.14 % 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 06:07:11 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (30836)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (30837)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (30842)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (30839)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)
% 0.14/0.37 % (30841)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (30840)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (30843)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)
% 0.14/0.37 % (30837)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (30837)Terminated due to inappropriate strategy.
% 0.14/0.37 % (30837)------------------------------
% 0.14/0.37 % (30837)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (30837)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (30837)Memory used [KB]: 718
% 0.14/0.37 % (30837)Time elapsed: 0.002 s
% 0.14/0.37 % (30837)Instructions burned: 2 (million)
% 0.14/0.37 % (30837)------------------------------
% 0.14/0.37 % (30837)------------------------------
% 0.14/0.37 % (30840)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (30840)Terminated due to inappropriate strategy.
% 0.14/0.37 % (30840)------------------------------
% 0.14/0.37 % (30840)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (30840)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (30840)Memory used [KB]: 718
% 0.14/0.37 % (30840)Time elapsed: 0.002 s
% 0.14/0.37 % (30840)Instructions burned: 2 (million)
% 0.14/0.37 % (30840)------------------------------
% 0.14/0.37 % (30840)------------------------------
% 0.14/0.37 % (30843)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (30843)Terminated due to inappropriate strategy.
% 0.14/0.37 % (30843)------------------------------
% 0.14/0.37 % (30843)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (30838)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (30843)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (30843)Memory used [KB]: 719
% 0.14/0.37 % (30843)Time elapsed: 0.002 s
% 0.14/0.37 % (30843)Instructions burned: 2 (million)
% 0.14/0.37 % (30843)------------------------------
% 0.14/0.37 % (30843)------------------------------
% 0.14/0.37 % (30838)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (30838)Terminated due to inappropriate strategy.
% 0.14/0.37 % (30838)------------------------------
% 0.14/0.37 % (30838)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (30838)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (30838)Memory used [KB]: 718
% 0.14/0.37 % (30838)Time elapsed: 0.003 s
% 0.14/0.37 % (30838)Instructions burned: 2 (million)
% 0.14/0.37 % (30838)------------------------------
% 0.14/0.37 % (30838)------------------------------
% 0.14/0.39 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.39 % (30844)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)
% 0.14/0.39 % (30845)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)
% 0.14/0.39 % (30846)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)
% 0.14/0.39 % (30844)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.39 % (30844)Terminated due to inappropriate strategy.
% 0.14/0.39 % (30844)------------------------------
% 0.14/0.39 % (30844)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (30844)Termination reason: Inappropriate
% 0.14/0.39
% 0.14/0.39 % (30844)Memory used [KB]: 719
% 0.14/0.39 % (30844)Time elapsed: 0.002 s
% 0.14/0.39 % (30844)Instructions burned: 2 (million)
% 0.14/0.39 % (30844)------------------------------
% 0.14/0.39 % (30844)------------------------------
% 0.14/0.39 % (30846)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.39 % (30846)Terminated due to inappropriate strategy.
% 0.14/0.39 % (30846)------------------------------
% 0.14/0.39 % (30846)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (30846)Termination reason: Inappropriate
% 0.14/0.39
% 0.14/0.39 % (30846)Memory used [KB]: 719
% 0.14/0.39 % (30846)Time elapsed: 0.002 s
% 0.14/0.39 % (30846)Instructions burned: 2 (million)
% 0.14/0.39 % (30846)------------------------------
% 0.14/0.39 % (30846)------------------------------
% 0.14/0.39 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.39 % (30847)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)
% 0.14/0.41 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.41 % (30848)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 26.49/4.78 % (30848)First to succeed.
% 26.49/4.78 % (30848)Refutation found. Thanks to Tanya!
% 26.49/4.78 % SZS status Theorem for theBenchmark
% 26.49/4.78 % SZS output start Proof for theBenchmark
% See solution above
% 26.49/4.78 % (30848)------------------------------
% 26.49/4.78 % (30848)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 26.49/4.78 % (30848)Termination reason: Refutation
% 26.49/4.78
% 26.49/4.78 % (30848)Memory used [KB]: 51431
% 26.49/4.78 % (30848)Time elapsed: 4.372 s
% 26.49/4.78 % (30848)Instructions burned: 16117 (million)
% 26.49/4.78 % (30848)------------------------------
% 26.49/4.78 % (30848)------------------------------
% 26.49/4.78 % (30836)Success in time 4.422 s
%------------------------------------------------------------------------------