TSTP Solution File: ARI632_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI632_1 : TPTP v8.2.0. 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 : Mon May 20 18:50:51 EDT 2024
% Result : Theorem 32.39s 5.79s
% Output : Refutation 32.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 58 ( 23 unt; 5 typ; 0 def)
% Number of atoms : 85 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 65 ( 33 ~; 28 |; 0 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 183 ( 43 atm; 93 fun; 2 num; 45 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 : 45 ( 45 !; 0 ?; 45 :)
% 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(f121759,plain,
$false,
inference(avatar_sat_refutation,[],[f79269,f101522,f121758]) ).
tff(f121758,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f121757]) ).
tff(f121757,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f121747,f22]) ).
tff(f22,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(f121747,plain,
( $less(y,x)
| ~ spl0_4 ),
inference(resolution,[],[f121606,f24]) ).
tff(f24,plain,
! [X0: $real,X1: $real] :
( ~ $less(f(X0),f(X1))
| $less(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
! [X0: $real,X1: $real] :
( ~ $less(f(X0),f(X1))
| $less(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,X1)
=> ~ $less(f(X0),f(X1)) ),
inference(theory_normalization,[],[f1]) ).
tff(f1,axiom,
! [X0: $real,X1: $real] :
( $greatereq(X0,X1)
=> $greatereq(f(X0),f(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_non_decreasing) ).
tff(f121606,plain,
( $less(f(y),f(x))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f121605,f209]) ).
tff(f209,plain,
! [X0: $real,X1: $real] : ( $sum(X0,$sum(X1,$uminus(X0))) = X1 ),
inference(superposition,[],[f150,f8]) ).
tff(f8,plain,
! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f150,plain,
! [X0: $real,X1: $real] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f133]) ).
tff(f133,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(f121605,plain,
( $less(f(y),$sum(v,$sum(f(x),$uminus(v))))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f121407,f8]) ).
tff(f121407,plain,
( $less(f(y),$sum($sum(f(x),$uminus(v)),v))
| ~ spl0_4 ),
inference(resolution,[],[f723,f79835]) ).
tff(f79835,plain,
( $less(f(y),$sum(u,$sum(f(x),$uminus(v))))
| ~ spl0_4 ),
inference(superposition,[],[f79424,f209]) ).
tff(f79424,plain,
( ! [X0: $real] : $less($sum(v,$sum(f(y),X0)),$sum(u,$sum(f(x),X0)))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f79423,f9]) ).
tff(f79423,plain,
( ! [X0: $real] : $less($sum($sum(v,f(y)),X0),$sum(u,$sum(f(x),X0)))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f79419,f9]) ).
tff(f79419,plain,
( ! [X0: $real] : $less($sum($sum(v,f(y)),X0),$sum($sum(u,f(x)),X0))
| ~ spl0_4 ),
inference(resolution,[],[f82,f16]) ).
tff(f16,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_145,[]) ).
tff(f82,plain,
( $less($sum(v,f(y)),$sum(u,f(x)))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f80]) ).
tff(f80,plain,
( spl0_4
<=> $less($sum(v,f(y)),$sum(u,f(x))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
tff(f723,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,$sum(u,X1))
| $less(X0,$sum(X1,v)) ),
inference(resolution,[],[f164,f14]) ).
tff(f14,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f164,plain,
! [X0: $real] : $less($sum(u,X0),$sum(X0,v)),
inference(superposition,[],[f127,f8]) ).
tff(f127,plain,
! [X0: $real] : $less($sum(u,X0),$sum(v,X0)),
inference(resolution,[],[f16,f23]) ).
tff(f23,plain,
$less(u,v),
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
$less(u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis) ).
tff(f101522,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f101495,f80,f76]) ).
tff(f76,plain,
( spl0_3
<=> ( $sum(u,f(x)) = $sum(v,f(y)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f101495,plain,
( $less($sum(v,f(y)),$sum(u,f(x)))
| ( $sum(u,f(x)) = $sum(v,f(y)) ) ),
inference(resolution,[],[f21,f15]) ).
tff(f15,plain,
! [X0: $real,X1: $real] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f21,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(f79269,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f79268]) ).
tff(f79268,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f79260,f22]) ).
tff(f79260,plain,
( $less(y,x)
| ~ spl0_3 ),
inference(resolution,[],[f79034,f24]) ).
tff(f79034,plain,
( $less(f(y),f(x))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f78803,f209]) ).
tff(f78803,plain,
( $less(f(y),$sum(u,$sum(f(x),$uminus(u))))
| ~ spl0_3 ),
inference(superposition,[],[f216,f76055]) ).
tff(f76055,plain,
( ! [X0: $real] : ( $sum(u,$sum(f(x),X0)) = $sum(v,$sum(X0,f(y))) )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f76054,f9]) ).
tff(f76054,plain,
( ! [X0: $real] : ( $sum($sum(u,f(x)),X0) = $sum(v,$sum(X0,f(y))) )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f75920,f141]) ).
tff(f141,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f9,f8]) ).
tff(f75920,plain,
( ! [X0: $real] : ( $sum($sum(u,f(x)),X0) = $sum(f(y),$sum(v,X0)) )
| ~ spl0_3 ),
inference(superposition,[],[f134,f78]) ).
tff(f78,plain,
( ( $sum(u,f(x)) = $sum(v,f(y)) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f76]) ).
tff(f134,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2) ),
inference(superposition,[],[f9,f8]) ).
tff(f216,plain,
! [X0: $real] : $less(X0,$sum(v,$sum($uminus(u),X0))),
inference(superposition,[],[f127,f150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ARI632_1 : TPTP v8.2.0. Released v6.3.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34 % Computer : n016.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sun May 19 13:05:53 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % (6889)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (6896)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)
% 0.15/0.36 % (6896)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.36 % (6896)Terminated due to inappropriate strategy.
% 0.15/0.36 % (6896)------------------------------
% 0.15/0.36 % (6896)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.36 % (6896)Termination reason: Inappropriate
% 0.15/0.36
% 0.15/0.36 % (6896)Memory used [KB]: 719
% 0.15/0.36 % (6896)Time elapsed: 0.002 s
% 0.15/0.36 % (6896)Instructions burned: 2 (million)
% 0.15/0.36 % (6896)------------------------------
% 0.15/0.36 % (6896)------------------------------
% 0.15/0.37 % (6894)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (6895)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (6892)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)
% 0.15/0.37 % (6891)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (6891)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.37 % (6891)Terminated due to inappropriate strategy.
% 0.15/0.37 % (6891)------------------------------
% 0.15/0.37 % (6891)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 % (6891)Termination reason: Inappropriate
% 0.15/0.37
% 0.15/0.37 % (6891)Memory used [KB]: 718
% 0.15/0.37 % (6891)Time elapsed: 0.002 s
% 0.15/0.37 % (6891)Instructions burned: 2 (million)
% 0.15/0.37 % (6891)------------------------------
% 0.15/0.37 % (6891)------------------------------
% 0.15/0.38 % (6890)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (6893)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (6890)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (6890)Terminated due to inappropriate strategy.
% 0.15/0.38 % (6890)------------------------------
% 0.15/0.38 % (6890)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (6890)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (6890)Memory used [KB]: 718
% 0.15/0.38 % (6890)Time elapsed: 0.002 s
% 0.15/0.38 % (6890)Instructions burned: 2 (million)
% 0.15/0.38 % (6893)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (6893)Terminated due to inappropriate strategy.
% 0.15/0.38 % (6893)------------------------------
% 0.15/0.38 % (6893)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (6893)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (6893)Memory used [KB]: 718
% 0.15/0.38 % (6893)Time elapsed: 0.002 s
% 0.15/0.38 % (6893)Instructions burned: 2 (million)
% 0.15/0.38 % (6890)------------------------------
% 0.15/0.38 % (6890)------------------------------
% 0.15/0.38 % (6893)------------------------------
% 0.15/0.38 % (6893)------------------------------
% 0.15/0.39 % (6897)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)
% 0.15/0.39 % (6897)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.39 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.15/0.39 % (6897)Terminated due to inappropriate strategy.
% 0.15/0.39 % (6897)------------------------------
% 0.15/0.39 % (6897)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (6897)Termination reason: Inappropriate
% 0.15/0.39
% 0.15/0.39 % (6897)Memory used [KB]: 719
% 0.15/0.39 % (6897)Time elapsed: 0.003 s
% 0.15/0.39 % (6897)Instructions burned: 2 (million)
% 0.15/0.39 % (6897)------------------------------
% 0.15/0.39 % (6897)------------------------------
% 0.15/0.39 % (6898)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)
% 0.15/0.39 % (6899)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)
% 0.15/0.39 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.15/0.39 % (6900)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)
% 0.15/0.39 % (6899)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.39 % (6899)Terminated due to inappropriate strategy.
% 0.15/0.39 % (6899)------------------------------
% 0.15/0.39 % (6899)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (6899)Termination reason: Inappropriate
% 0.15/0.39
% 0.15/0.39 % (6899)Memory used [KB]: 719
% 0.15/0.39 % (6899)Time elapsed: 0.002 s
% 0.15/0.39 % (6899)Instructions burned: 2 (million)
% 0.15/0.39 % (6899)------------------------------
% 0.15/0.39 % (6899)------------------------------
% 0.21/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.21/0.40 % (6901)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 32.39/5.78 % (6895)First to succeed.
% 32.39/5.79 % (6895)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6889"
% 32.39/5.79 % (6895)Refutation found. Thanks to Tanya!
% 32.39/5.79 % SZS status Theorem for theBenchmark
% 32.39/5.79 % SZS output start Proof for theBenchmark
% See solution above
% 32.39/5.79 % (6895)------------------------------
% 32.39/5.79 % (6895)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 32.39/5.79 % (6895)Termination reason: Refutation
% 32.39/5.79
% 32.39/5.79 % (6895)Memory used [KB]: 55000
% 32.39/5.79 % (6895)Time elapsed: 5.429 s
% 32.39/5.79 % (6895)Instructions burned: 18080 (million)
% 32.39/5.79 % (6889)Success in time 5.411 s
%------------------------------------------------------------------------------