TSTP Solution File: ARI342_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI342_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 10:35:05 EDT 2024
% Result : Theorem 0.22s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 36 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 16 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 130 ( 30 atm; 37 fun; 23 num; 40 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 : 8 ( 0 usr; 6 con; 0-2 aty)
% Number of variables : 40 ( 38 !; 2 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1351,plain,
$false,
inference(evaluation,[],[f1332]) ).
tff(f1332,plain,
~ $less(-13/2,-3/1),
inference(resolution,[],[f137,f476]) ).
tff(f476,plain,
! [X0: $rat] : $less($sum(-3/1,X0),X0),
inference(evaluation,[],[f473]) ).
tff(f473,plain,
! [X0: $rat] : $less($sum($uminus(3/1),X0),X0),
inference(superposition,[],[f265,f126]) ).
tff(f126,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f104]) ).
tff(f104,plain,
! [X0: $rat,X1: $rat] : ( $sum(0/1,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f4,f7]) ).
tff(f7,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f4,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f265,plain,
! [X0: $rat] : $less(X0,$sum(3/1,X0)),
inference(evaluation,[],[f256]) ).
tff(f256,plain,
! [X0: $rat] : $less(X0,$sum(2/1,$sum(1/1,X0))),
inference(resolution,[],[f191,f30]) ).
tff(f30,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,$sum(1/1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f12,f3]) ).
tff(f3,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f12,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,$sum(X0,1/1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f191,plain,
! [X0: $rat] : ~ $less($sum(2/1,X0),X0),
inference(resolution,[],[f102,f34]) ).
tff(f34,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| ~ $less(X1,X0) ),
inference(resolution,[],[f9,f8]) ).
tff(f8,plain,
! [X0: $rat] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f9,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_143,[]) ).
tff(f102,plain,
! [X0: $rat] : $less(X0,$sum(2/1,X0)),
inference(evaluation,[],[f96]) ).
tff(f96,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),1/1)),
inference(resolution,[],[f68,f12]) ).
tff(f68,plain,
! [X0: $rat] : ~ $less($sum(X0,1/1),X0),
inference(resolution,[],[f34,f29]) ).
tff(f29,plain,
! [X0: $rat] : $less(X0,$sum(X0,1/1)),
inference(resolution,[],[f12,f8]) ).
tff(f137,plain,
! [X0: $rat,X1: $rat] :
( ~ $less($sum(X0,X1),-13/2)
| ~ $less(X1,X0) ),
inference(resolution,[],[f35,f11]) ).
tff(f11,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
tff(f35,plain,
! [X0: $rat,X1: $rat] :
( ~ $less($sum(X1,X1),X0)
| ~ $less(X0,-13/2) ),
inference(resolution,[],[f9,f15]) ).
tff(f15,plain,
! [X0: $rat] : ~ $less($sum(X0,X0),-13/2),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: $rat] : ~ $less($sum(X0,X0),-13/2),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat] : $less($sum(X0,X0),-13/2),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $rat] : $less($sum(X0,X0),-13/2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_combined_problem_8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ARI342_1 : TPTP v8.1.2. Released v5.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 05:47:34 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (15579)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (15585)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (15584)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (15580)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (15583)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 % (15586)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)
% 0.15/0.38 % (15582)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)
% 0.15/0.38 % (15581)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (15586)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (15580)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (15581)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (15583)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (15586)Terminated due to inappropriate strategy.
% 0.15/0.38 % (15586)------------------------------
% 0.15/0.38 % (15586)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (15581)Terminated due to inappropriate strategy.
% 0.15/0.38 % (15581)------------------------------
% 0.15/0.38 % (15581)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (15586)Termination reason: Inappropriate
% 0.15/0.38 % (15581)Termination reason: Inappropriate
% 0.15/0.38 % (15580)Terminated due to inappropriate strategy.
% 0.15/0.38 % (15580)------------------------------
% 0.15/0.38 % (15580)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (15580)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (15583)Terminated due to inappropriate strategy.
% 0.15/0.38 % (15583)------------------------------
% 0.15/0.38 % (15583)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (15586)Memory used [KB]: 716
% 0.15/0.38 % (15581)Memory used [KB]: 716
% 0.15/0.38 % (15583)Termination reason: Inappropriate
% 0.15/0.38 % (15580)Memory used [KB]: 716
% 0.15/0.38
% 0.15/0.38 % (15581)Time elapsed: 0.002 s
% 0.15/0.38 % (15586)Time elapsed: 0.002 s
% 0.15/0.38 % (15580)Time elapsed: 0.002 s
% 0.15/0.38 % (15583)Memory used [KB]: 716
% 0.15/0.38 % (15581)Instructions burned: 2 (million)
% 0.15/0.38 % (15586)Instructions burned: 2 (million)
% 0.15/0.38 % (15583)Time elapsed: 0.002 s
% 0.15/0.38 % (15581)------------------------------
% 0.15/0.38 % (15581)------------------------------
% 0.15/0.38 % (15586)------------------------------
% 0.15/0.38 % (15586)------------------------------
% 0.15/0.38 % (15580)Instructions burned: 2 (million)
% 0.15/0.38 % (15583)Instructions burned: 2 (million)
% 0.15/0.38 % (15583)------------------------------
% 0.15/0.38 % (15583)------------------------------
% 0.15/0.38 % (15580)------------------------------
% 0.15/0.38 % (15580)------------------------------
% 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 % (15587)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 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.15/0.39 % (15589)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 % (15588)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 % (15590)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 % (15587)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.39 % (15587)Terminated due to inappropriate strategy.
% 0.15/0.39 % (15587)------------------------------
% 0.15/0.39 % (15587)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (15587)Termination reason: Inappropriate
% 0.15/0.39
% 0.15/0.39 % (15587)Memory used [KB]: 716
% 0.15/0.39 % (15587)Time elapsed: 0.002 s
% 0.15/0.39 % (15587)Instructions burned: 2 (million)
% 0.15/0.39 % (15587)------------------------------
% 0.15/0.39 % (15587)------------------------------
% 0.15/0.39 % (15589)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.39 % (15589)Terminated due to inappropriate strategy.
% 0.15/0.39 % (15589)------------------------------
% 0.15/0.39 % (15589)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (15589)Termination reason: Inappropriate
% 0.15/0.39
% 0.15/0.39 % (15589)Memory used [KB]: 716
% 0.15/0.39 % (15589)Time elapsed: 0.002 s
% 0.15/0.39 % (15589)Instructions burned: 2 (million)
% 0.15/0.39 % (15589)------------------------------
% 0.15/0.39 % (15589)------------------------------
% 0.15/0.41 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.15/0.41 % (15591)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.41 % (15582)First to succeed.
% 0.22/0.41 % (15582)Refutation found. Thanks to Tanya!
% 0.22/0.41 % SZS status Theorem for theBenchmark
% 0.22/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41 % (15582)------------------------------
% 0.22/0.41 % (15582)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.41 % (15582)Termination reason: Refutation
% 0.22/0.41
% 0.22/0.41 % (15582)Memory used [KB]: 1133
% 0.22/0.41 % (15582)Time elapsed: 0.039 s
% 0.22/0.41 % (15582)Instructions burned: 67 (million)
% 0.22/0.41 % (15582)------------------------------
% 0.22/0.41 % (15582)------------------------------
% 0.22/0.41 % (15579)Success in time 0.052 s
%------------------------------------------------------------------------------