TSTP Solution File: ARI535_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI535_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 : n007.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 10:35:30 EDT 2024
% Result : Theorem 0.22s 0.47s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 11 unt; 1 typ; 0 def)
% Number of atoms : 17 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 71 ( 0 atm; 27 fun; 24 num; 20 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 3 ( 1 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 16 !; 4 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_1,type,
p: ( $int * $int * $int ) > $o ).
tff(f3027,plain,
$false,
inference(resolution,[],[f2901,f36]) ).
tff(f36,plain,
! [X0: $int] : p(2,X0,$sum(X0,2)),
inference(superposition,[],[f22,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f22,plain,
! [X1: $int] : p(2,X1,$sum(2,X1)),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
! [X0: $int,X1: $int] :
( ~ p(X0,2,$product(X0,2))
& p(2,X1,$sum(2,X1)) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $int,X1: $int] :
( p(2,X1,$sum(2,X1))
=> p(X0,2,$product(X0,2)) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $int,X1: $int] :
( p(2,X1,$sum(2,X1))
=> p(X0,2,$product(X0,2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a) ).
tff(f2901,plain,
! [X0: $int] : ~ p(X0,2,$sum(X0,X0)),
inference(superposition,[],[f23,f1194]) ).
tff(f1194,plain,
! [X0: $int] : ( $product(X0,2) = $sum(X0,X0) ),
inference(evaluation,[],[f1160]) ).
tff(f1160,plain,
! [X0: $int] : ( $product(X0,$sum(1,1)) = $sum(X0,X0) ),
inference(superposition,[],[f188,f16]) ).
tff(f16,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f188,plain,
! [X0: $int,X1: $int] : ( $product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1)) ),
inference(superposition,[],[f18,f16]) ).
tff(f18,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
introduced(theory_axiom_150,[]) ).
tff(f23,plain,
! [X0: $int] : ~ p(X0,2,$product(X0,2)),
inference(cnf_transformation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ARI535_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
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 05:29:32 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (29514)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (29519)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 % (29517)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 % (29516)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (29521)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (29519)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (29516)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (29519)Terminated due to inappropriate strategy.
% 0.15/0.38 % (29519)------------------------------
% 0.15/0.38 % (29519)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (29516)Terminated due to inappropriate strategy.
% 0.15/0.38 % (29516)------------------------------
% 0.15/0.38 % (29516)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (29519)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (29519)Memory used [KB]: 719
% 0.15/0.38 % (29519)Time elapsed: 0.002 s
% 0.15/0.38 % (29519)Instructions burned: 2 (million)
% 0.15/0.38 % (29519)------------------------------
% 0.15/0.38 % (29519)------------------------------
% 0.15/0.38 % (29516)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (29516)Memory used [KB]: 719
% 0.15/0.38 % (29516)Time elapsed: 0.003 s
% 0.15/0.38 % (29516)Instructions burned: 2 (million)
% 0.15/0.38 % (29516)------------------------------
% 0.15/0.38 % (29516)------------------------------
% 0.15/0.38 % (29522)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 % (29522)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (29522)Terminated due to inappropriate strategy.
% 0.15/0.38 % (29522)------------------------------
% 0.15/0.38 % (29522)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (29522)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (29522)Memory used [KB]: 719
% 0.15/0.38 % (29522)Time elapsed: 0.002 s
% 0.15/0.38 % (29522)Instructions burned: 2 (million)
% 0.15/0.38 % (29522)------------------------------
% 0.15/0.38 % (29522)------------------------------
% 0.15/0.38 % (29520)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.39 % (29515)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39 % (29515)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.39 % (29515)Terminated due to inappropriate strategy.
% 0.15/0.39 % (29515)------------------------------
% 0.15/0.39 % (29515)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (29515)Termination reason: Inappropriate
% 0.15/0.39
% 0.15/0.39 % (29515)Memory used [KB]: 718
% 0.15/0.39 % (29515)Time elapsed: 0.002 s
% 0.15/0.39 % (29515)Instructions burned: 2 (million)
% 0.15/0.39 % (29515)------------------------------
% 0.15/0.39 % (29515)------------------------------
% 0.15/0.39 % (29523)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 % (29523)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.39 % (29523)Terminated due to inappropriate strategy.
% 0.15/0.39 % (29523)------------------------------
% 0.15/0.39 % (29523)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (29523)Termination reason: Inappropriate
% 0.15/0.39
% 0.15/0.39 % (29523)Memory used [KB]: 719
% 0.15/0.39 % (29523)Time elapsed: 0.002 s
% 0.15/0.39 % (29523)Instructions burned: 2 (million)
% 0.15/0.39 % (29523)------------------------------
% 0.15/0.39 % (29523)------------------------------
% 0.15/0.40 % (29525)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)
% 0.15/0.40 % (29525)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.40 % (29525)Terminated due to inappropriate strategy.
% 0.15/0.40 % (29525)------------------------------
% 0.15/0.40 % (29525)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.40 % (29525)Termination reason: Inappropriate
% 0.15/0.40
% 0.15/0.40 % (29525)Memory used [KB]: 720
% 0.15/0.40 % (29525)Time elapsed: 0.003 s
% 0.15/0.40 % (29525)Instructions burned: 2 (million)
% 0.15/0.40 % (29525)------------------------------
% 0.15/0.40 % (29525)------------------------------
% 0.15/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.15/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.15/0.40 % (29524)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)
% 0.15/0.40 % (29526)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)
% 0.15/0.41 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.15/0.41 % (29527)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.47 % (29517)First to succeed.
% 0.22/0.47 % (29517)Refutation found. Thanks to Tanya!
% 0.22/0.47 % SZS status Theorem for theBenchmark
% 0.22/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.47 % (29517)------------------------------
% 0.22/0.47 % (29517)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.47 % (29517)Termination reason: Refutation
% 0.22/0.47
% 0.22/0.47 % (29517)Memory used [KB]: 1877
% 0.22/0.47 % (29517)Time elapsed: 0.094 s
% 0.22/0.47 % (29517)Instructions burned: 178 (million)
% 0.22/0.47 % (29517)------------------------------
% 0.22/0.47 % (29517)------------------------------
% 0.22/0.47 % (29514)Success in time 0.097 s
%------------------------------------------------------------------------------