TSTP Solution File: ARI594_1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI594_1 : TPTP v8.2.0. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.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 18:50:45 EDT 2024
% Result : Theorem 88.40s 15.02s
% Output : Refutation 88.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 11 unt; 1 typ; 0 def)
% Number of atoms : 48 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 38 ( 13 ~; 13 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 158 ( 24 atm; 48 fun; 49 num; 37 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 0 usr; 5 con; 0-2 aty)
% Number of variables : 37 ( 34 !; 3 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_1,type,
p: $int > $o ).
tff(f354395,plain,
$false,
inference(evaluation,[],[f354021]) ).
tff(f354021,plain,
( ~ $less(5,$sum(3,$sum(3,1)))
| $less(7,$product(3,2)) ),
inference(superposition,[],[f277,f2071]) ).
tff(f2071,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum(X0,X1)) = $sum(X1,$product(X0,2)) ),
inference(superposition,[],[f118,f1013]) ).
tff(f1013,plain,
! [X0: $int] : ( $sum(X0,X0) = $product(X0,2) ),
inference(evaluation,[],[f981]) ).
tff(f981,plain,
! [X0: $int] : ( $product(X0,$sum(1,1)) = $sum(X0,X0) ),
inference(superposition,[],[f173,f17]) ).
tff(f17,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f173,plain,
! [X0: $int,X1: $int] : ( $product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1)) ),
inference(superposition,[],[f19,f17]) ).
tff(f19,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
introduced(theory_axiom_150,[]) ).
tff(f118,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f5,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f5,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f277,plain,
! [X0: $int] :
( ~ $less(5,$sum(1,$product(3,X0)))
| $less(7,$product(3,X0)) ),
inference(forward_demodulation,[],[f272,f4]) ).
tff(f272,plain,
! [X0: $int] :
( $less(7,$product(3,X0))
| ~ $less(5,$sum($product(3,X0),1)) ),
inference(resolution,[],[f52,f21]) ).
tff(f21,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_161,[]) ).
tff(f52,plain,
! [X0: $int] :
( $less($product(3,X0),5)
| $less(7,$product(3,X0)) ),
inference(resolution,[],[f25,f26]) ).
tff(f26,plain,
! [X0: $int] : ~ p($product(3,X0)),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
( ! [X0: $int] : ~ p($product(3,X0))
& ! [X1: $int] :
( p(X1)
| $less(7,X1)
| $less(X1,5) ) ),
inference(rectify,[],[f23]) ).
tff(f23,plain,
( ! [X1: $int] : ~ p($product(3,X1))
& ! [X0: $int] :
( p(X0)
| $less(7,X0)
| $less(X0,5) ) ),
inference(flattening,[],[f22]) ).
tff(f22,plain,
( ! [X1: $int] : ~ p($product(3,X1))
& ! [X0: $int] :
( p(X0)
| $less(7,X0)
| $less(X0,5) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ! [X0: $int] :
( ( ~ $less(7,X0)
& ~ $less(X0,5) )
=> p(X0) )
=> ? [X1: $int] : p($product(3,X1)) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int] :
( ( $lesseq(X0,7)
& $lesseq(5,X0) )
=> p(X0) )
=> ? [X1: $int] : p($product(3,X1)) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ! [X0: $int] :
( ( $lesseq(X0,7)
& $lesseq(5,X0) )
=> p(X0) )
=> ? [X1: $int] : p($product(3,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exists_X_in_5_to_7_div_3) ).
tff(f25,plain,
! [X1: $int] :
( p(X1)
| $less(7,X1)
| $less(X1,5) ),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ARI594_1 : TPTP v8.2.0. Released v5.1.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 12:50:37 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (2346)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (2352)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.36 % (2348)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36 % (2350)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.36 % (2347)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.36 % (2351)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.36 % (2349)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)
% 0.14/0.36 % (2353)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)
% 0.14/0.36 % (2347)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.36 % (2348)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.36 % (2347)Terminated due to inappropriate strategy.
% 0.14/0.36 % (2347)------------------------------
% 0.14/0.36 % (2347)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36 % (2347)Termination reason: Inappropriate
% 0.14/0.36
% 0.14/0.36 % (2347)Memory used [KB]: 719
% 0.14/0.36 % (2350)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.36 % (2347)Time elapsed: 0.002 s
% 0.14/0.36 % (2347)Instructions burned: 2 (million)
% 0.14/0.36 % (2350)Terminated due to inappropriate strategy.
% 0.14/0.36 % (2350)------------------------------
% 0.14/0.36 % (2350)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36 % (2353)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.36 % (2350)Termination reason: Inappropriate
% 0.14/0.36
% 0.14/0.36 % (2350)Memory used [KB]: 720
% 0.14/0.36 % (2350)Time elapsed: 0.002 s
% 0.14/0.36 % (2350)Instructions burned: 2 (million)
% 0.14/0.36 % (2353)Terminated due to inappropriate strategy.
% 0.14/0.36 % (2353)------------------------------
% 0.14/0.36 % (2353)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36 % (2353)Termination reason: Inappropriate
% 0.14/0.36
% 0.14/0.36 % (2353)Memory used [KB]: 720
% 0.14/0.36 % (2353)Time elapsed: 0.002 s
% 0.14/0.36 % (2353)Instructions burned: 2 (million)
% 0.14/0.36 % (2348)Terminated due to inappropriate strategy.
% 0.14/0.36 % (2348)------------------------------
% 0.14/0.36 % (2348)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36 % (2348)Termination reason: Inappropriate
% 0.14/0.36
% 0.14/0.36 % (2348)Memory used [KB]: 720
% 0.14/0.36 % (2348)Time elapsed: 0.003 s
% 0.14/0.36 % (2348)Instructions burned: 2 (million)
% 0.14/0.36 % (2347)------------------------------
% 0.14/0.36 % (2347)------------------------------
% 0.14/0.36 % (2350)------------------------------
% 0.14/0.36 % (2350)------------------------------
% 0.14/0.36 % (2353)------------------------------
% 0.14/0.36 % (2353)------------------------------
% 0.14/0.36 % (2348)------------------------------
% 0.14/0.36 % (2348)------------------------------
% 0.14/0.38 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.38 % (2356)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)
% 0.14/0.38 % (2355)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)
% 0.14/0.38 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.38 % (2354)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)
% 0.14/0.38 % (2357)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)
% 0.14/0.38 % (2354)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (2356)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (2354)Terminated due to inappropriate strategy.
% 0.14/0.38 % (2354)------------------------------
% 0.14/0.38 % (2354)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (2354)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (2354)Memory used [KB]: 720
% 0.14/0.38 % (2354)Time elapsed: 0.002 s
% 0.14/0.38 % (2354)Instructions burned: 2 (million)
% 0.14/0.38 % (2356)Terminated due to inappropriate strategy.
% 0.14/0.38 % (2356)------------------------------
% 0.14/0.38 % (2356)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (2356)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (2356)Memory used [KB]: 720
% 0.14/0.38 % (2356)Time elapsed: 0.002 s
% 0.14/0.38 % (2356)Instructions burned: 2 (million)
% 0.14/0.38 % (2354)------------------------------
% 0.14/0.38 % (2354)------------------------------
% 0.14/0.38 % (2356)------------------------------
% 0.14/0.38 % (2356)------------------------------
% 0.14/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.40 % (2358)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 88.18/15.01 % (2352)First to succeed.
% 88.18/15.01 % (2352)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2346"
% 88.40/15.02 % (2352)Refutation found. Thanks to Tanya!
% 88.40/15.02 % SZS status Theorem for theBenchmark
% 88.40/15.02 % SZS output start Proof for theBenchmark
% See solution above
% 88.40/15.02 % (2352)------------------------------
% 88.40/15.02 % (2352)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 88.40/15.02 % (2352)Termination reason: Refutation
% 88.40/15.02
% 88.40/15.02 % (2352)Memory used [KB]: 155034
% 88.40/15.02 % (2352)Time elapsed: 14.645 s
% 88.40/15.02 % (2352)Instructions burned: 61272 (million)
% 88.40/15.02 % (2346)Success in time 14.6 s
%------------------------------------------------------------------------------