TSTP Solution File: ARI603_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI603_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 : n006.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 10:35:40 EDT 2024
% Result : Theorem 0.17s 0.37s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 35 ( 17 unt; 3 typ; 0 def)
% Number of atoms : 48 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 24 ~; 8 |; 3 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 159 ( 42 atm; 40 fun; 9 num; 68 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 3 usr; 5 con; 0-2 aty)
% Number of variables : 68 ( 58 !; 10 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(func_def_5,type,
sK0: $int ).
tff(func_def_6,type,
sK1: $int ).
tff(f1818,plain,
$false,
inference(resolution,[],[f1758,f241]) ).
tff(f241,plain,
! [X0: $int] : $less(X0,$sum(X0,2)),
inference(superposition,[],[f98,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f98,plain,
! [X0: $int] : $less(X0,$sum(2,X0)),
inference(evaluation,[],[f92]) ).
tff(f92,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),1)),
inference(resolution,[],[f59,f13]) ).
tff(f13,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f59,plain,
! [X0: $int] : ~ $less($sum(X0,1),X0),
inference(resolution,[],[f54,f35]) ).
tff(f35,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f13,f9]) ).
tff(f9,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f54,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X0) ),
inference(resolution,[],[f10,f9]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_143,[]) ).
tff(f1758,plain,
! [X0: $int] : ~ $less(sK0,X0),
inference(superposition,[],[f1590,f147]) ).
tff(f147,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f125]) ).
tff(f125,plain,
! [X0: $int,X1: $int] : ( $sum(0,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f5,f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f5,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f1590,plain,
! [X0: $int] : ~ $less(sK0,$sum(sK1,X0)),
inference(superposition,[],[f1527,f4]) ).
tff(f1527,plain,
! [X0: $int] : ~ $less(sK0,$sum(X0,sK1)),
inference(resolution,[],[f457,f21]) ).
tff(f21,plain,
! [X3: $int] : $less(X3,f(X3)),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ! [X2: $int] : ~ $less(sK0,$sum(sK1,f(X2)))
& ! [X3: $int] : $less(X3,f(X3)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f18,f19]) ).
tff(f19,plain,
( ? [X0: $int,X1: $int] :
! [X2: $int] : ~ $less(X0,$sum(X1,f(X2)))
=> ! [X2: $int] : ~ $less(sK0,$sum(sK1,f(X2))) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
( ? [X0: $int,X1: $int] :
! [X2: $int] : ~ $less(X0,$sum(X1,f(X2)))
& ! [X3: $int] : $less(X3,f(X3)) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
( ? [X1: $int,X2: $int] :
! [X3: $int] : ~ $less(X1,$sum(X2,f(X3)))
& ! [X0: $int] : $less(X0,f(X0)) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ( ! [X0: $int] : $less(X0,f(X0))
=> ! [X1: $int,X2: $int] :
? [X3: $int] : $less(X1,$sum(X2,f(X3))) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ( ! [X0: $int] : $less(X0,f(X0))
=> ! [X1: $int,X2: $int] :
? [X0: $int] : $less(X1,$sum(X2,f(X0))) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int] : $greater(f(X0),X0)
=> ! [X1: $int,X2: $int] :
? [X0: $int] : $less(X1,$sum(X2,f(X0))) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ! [X0: $int] : $greater(f(X0),X0)
=> ! [X1: $int,X2: $int] :
? [X0: $int] : $less(X1,$sum(X2,f(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fX_gt_X_implies_exist_large_fX) ).
tff(f457,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,f(X1))
| ~ $less(sK0,$sum(X0,sK1)) ),
inference(resolution,[],[f112,f56]) ).
tff(f56,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(sK1,f(X1)))
| ~ $less(sK0,X0) ),
inference(resolution,[],[f10,f22]) ).
tff(f22,plain,
! [X2: $int] : ~ $less(sK0,$sum(sK1,f(X2))),
inference(cnf_transformation,[],[f20]) ).
tff(f112,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,X1),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f12,f4]) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : ARI603_1 : TPTP v8.1.2. Released v5.1.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.31 % Computer : n006.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Tue Apr 30 05:22:35 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % (4317)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (4324)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)
% 0.16/0.33 % (4319)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33 % (4321)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.33 % (4318)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.33 % (4323)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.33 % (4324)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.33 % (4324)Terminated due to inappropriate strategy.
% 0.16/0.33 % (4324)------------------------------
% 0.16/0.33 % (4324)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.33 % (4320)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)
% 0.16/0.33 % (4324)Termination reason: Inappropriate
% 0.16/0.33 % (4322)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.33
% 0.16/0.33 % (4324)Memory used [KB]: 719
% 0.16/0.33 % (4324)Time elapsed: 0.002 s
% 0.16/0.33 % (4324)Instructions burned: 2 (million)
% 0.16/0.33 % (4324)------------------------------
% 0.16/0.33 % (4324)------------------------------
% 0.16/0.33 % (4319)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.33 % (4321)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.33 % (4319)Terminated due to inappropriate strategy.
% 0.16/0.33 % (4319)------------------------------
% 0.16/0.33 % (4319)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.33 % (4319)Termination reason: Inappropriate
% 0.16/0.33
% 0.16/0.33 % (4319)Memory used [KB]: 719
% 0.16/0.33 % (4321)Terminated due to inappropriate strategy.
% 0.16/0.33 % (4321)------------------------------
% 0.16/0.33 % (4321)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.33 % (4319)Time elapsed: 0.002 s
% 0.16/0.33 % (4321)Termination reason: Inappropriate
% 0.16/0.33
% 0.16/0.33 % (4319)Instructions burned: 2 (million)
% 0.16/0.33 % (4319)------------------------------
% 0.16/0.33 % (4319)------------------------------
% 0.16/0.33 % (4321)Memory used [KB]: 719
% 0.16/0.33 % (4321)Time elapsed: 0.002 s
% 0.16/0.33 % (4321)Instructions burned: 2 (million)
% 0.16/0.33 % (4321)------------------------------
% 0.16/0.33 % (4321)------------------------------
% 0.16/0.33 % (4318)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.33 % (4318)Terminated due to inappropriate strategy.
% 0.16/0.33 % (4318)------------------------------
% 0.16/0.33 % (4318)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.33 % (4318)Termination reason: Inappropriate
% 0.16/0.33
% 0.16/0.33 % (4318)Memory used [KB]: 719
% 0.16/0.33 % (4318)Time elapsed: 0.002 s
% 0.16/0.33 % (4318)Instructions burned: 2 (million)
% 0.16/0.33 % (4318)------------------------------
% 0.16/0.33 % (4318)------------------------------
% 0.17/0.34 % (4327)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)
% 0.17/0.34 % (4327)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.34 % (4327)Terminated due to inappropriate strategy.
% 0.17/0.34 % (4327)------------------------------
% 0.17/0.34 % (4327)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.34 % (4327)Termination reason: Inappropriate
% 0.17/0.34
% 0.17/0.34 % (4327)Memory used [KB]: 719
% 0.17/0.34 % (4327)Time elapsed: 0.001 s
% 0.17/0.34 % (4327)Instructions burned: 2 (million)
% 0.17/0.34 % (4327)------------------------------
% 0.17/0.34 % (4327)------------------------------
% 0.17/0.35 % (4325)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)
% 0.17/0.35 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.17/0.35 % (4325)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.35 % (4325)Terminated due to inappropriate strategy.
% 0.17/0.35 % (4325)------------------------------
% 0.17/0.35 % (4325)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.35 % (4325)Termination reason: Inappropriate
% 0.17/0.35
% 0.17/0.35 % (4325)Memory used [KB]: 719
% 0.17/0.35 % (4325)Time elapsed: 0.002 s
% 0.17/0.35 % (4325)Instructions burned: 2 (million)
% 0.17/0.35 % (4325)------------------------------
% 0.17/0.35 % (4325)------------------------------
% 0.17/0.35 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.17/0.35 % (4328)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)
% 0.17/0.35 % (4326)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)
% 0.17/0.35 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.17/0.35 % (4330)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 0.17/0.37 % (4320)First to succeed.
% 0.17/0.37 % (4320)Refutation found. Thanks to Tanya!
% 0.17/0.37 % SZS status Theorem for theBenchmark
% 0.17/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.38 % (4320)------------------------------
% 0.17/0.38 % (4320)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.38 % (4320)Termination reason: Refutation
% 0.17/0.38
% 0.17/0.38 % (4320)Memory used [KB]: 1358
% 0.17/0.38 % (4320)Time elapsed: 0.044 s
% 0.17/0.38 % (4320)Instructions burned: 85 (million)
% 0.17/0.38 % (4320)------------------------------
% 0.17/0.38 % (4320)------------------------------
% 0.17/0.38 % (4317)Success in time 0.054 s
%------------------------------------------------------------------------------