TSTP Solution File: ARI343_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI343_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 18:50:03 EDT 2024
% Result : Theorem 146.51s 26.07s
% Output : Refutation 146.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 5 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 182 ( 15 atm; 71 fun; 62 num; 34 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 : 9 ( 0 usr; 7 con; 0-2 aty)
% Number of variables : 34 ( 32 !; 2 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
tff(f641905,plain,
$false,
inference(evaluation,[],[f641902]) ).
tff(f641902,plain,
( $less(-128/5,$product(-271/20,$sum(16/5,1/1)))
| ( -64/5 = $sum(-3/4,$product(-271/20,16/5)) ) ),
inference(superposition,[],[f19394,f4520]) ).
tff(f4520,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,$product(X0,X1)) = $product(X0,$sum(X1,1/1)) ),
inference(superposition,[],[f495,f3]) ).
tff(f3,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f495,plain,
! [X0: $rat,X1: $rat] : ( $product(X0,$sum(X1,1/1)) = $sum($product(X0,X1),X0) ),
inference(superposition,[],[f18,f16]) ).
tff(f16,plain,
! [X0: $rat] : ( $product(X0,1/1) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f18,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
introduced(theory_axiom_150,[]) ).
tff(f19394,plain,
! [X0: $rat] :
( $less(-128/5,$sum(-271/20,$product(X0,16/5)))
| ( -64/5 = $sum(-3/4,$product(X0,16/5)) ) ),
inference(evaluation,[],[f19352]) ).
tff(f19352,plain,
! [X0: $rat] :
( $less($product(-64/5,2/1),$sum(-3/4,$sum($product(X0,16/5),-64/5)))
| ( -64/5 = $sum(-3/4,$product(X0,16/5)) ) ),
inference(superposition,[],[f796,f4507]) ).
tff(f4507,plain,
! [X0: $rat] : ( $sum(X0,X0) = $product(X0,2/1) ),
inference(evaluation,[],[f4336]) ).
tff(f4336,plain,
! [X0: $rat] : ( $product(X0,$sum(1/1,1/1)) = $sum(X0,X0) ),
inference(superposition,[],[f489,f16]) ).
tff(f489,plain,
! [X0: $rat,X1: $rat] : ( $product(X0,$sum(1/1,X1)) = $sum(X0,$product(X0,X1)) ),
inference(superposition,[],[f18,f16]) ).
tff(f796,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(-64/5,X1),$sum(-3/4,$sum($product(X0,16/5),X1)))
| ( -64/5 = $sum(-3/4,$product(X0,16/5)) ) ),
inference(forward_demodulation,[],[f788,f4]) ).
tff(f4,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f788,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(-64/5,X1),$sum($sum(-3/4,$product(X0,16/5)),X1))
| ( -64/5 = $sum(-3/4,$product(X0,16/5)) ) ),
inference(resolution,[],[f148,f11]) ).
tff(f11,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_145,[]) ).
tff(f148,plain,
! [X0: $rat] :
( $less(-64/5,$sum(-3/4,$product(X0,16/5)))
| ( -64/5 = $sum(-3/4,$product(X0,16/5)) ) ),
inference(resolution,[],[f10,f27]) ).
tff(f27,plain,
! [X0: $rat] : ~ $less($sum(-3/4,$product(X0,16/5)),-64/5),
inference(backward_demodulation,[],[f21,f3]) ).
tff(f21,plain,
! [X0: $rat] : ~ $less($sum($product(X0,16/5),-3/4),-64/5),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
! [X0: $rat] : ~ $less($sum($product(X0,16/5),-3/4),-64/5),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat] : $less($sum($product(X0,16/5),-3/4),-64/5),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $rat] : $less($sum($product(X0,16/5),-3/4),-64/5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_combined_problem_9) ).
tff(f10,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ARI343_1 : TPTP v8.2.0. Released v5.0.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 13:20:52 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (30192)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (30198)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (30196)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (30197)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (30193)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (30193)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (30196)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (30196)Terminated due to inappropriate strategy.
% 0.13/0.37 % (30196)------------------------------
% 0.13/0.37 % (30196)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (30193)Terminated due to inappropriate strategy.
% 0.13/0.37 % (30193)------------------------------
% 0.13/0.37 % (30193)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (30193)Termination reason: Inappropriate
% 0.13/0.37
% 0.13/0.37 % (30193)Memory used [KB]: 718
% 0.13/0.37 % (30193)Time elapsed: 0.002 s
% 0.13/0.37 % (30193)Instructions burned: 2 (million)
% 0.13/0.37 % (30196)Termination reason: Inappropriate
% 0.13/0.37
% 0.13/0.37 % (30196)Memory used [KB]: 719
% 0.13/0.37 % (30196)Time elapsed: 0.003 s
% 0.13/0.37 % (30196)Instructions burned: 2 (million)
% 0.13/0.37 % (30193)------------------------------
% 0.13/0.37 % (30193)------------------------------
% 0.13/0.37 % (30199)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)
% 0.13/0.37 % (30196)------------------------------
% 0.13/0.37 % (30196)------------------------------
% 0.13/0.37 % (30199)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (30199)Terminated due to inappropriate strategy.
% 0.13/0.37 % (30199)------------------------------
% 0.13/0.37 % (30199)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (30199)Termination reason: Inappropriate
% 0.13/0.37
% 0.13/0.37 % (30199)Memory used [KB]: 719
% 0.13/0.37 % (30199)Time elapsed: 0.002 s
% 0.13/0.37 % (30199)Instructions burned: 2 (million)
% 0.13/0.37 % (30199)------------------------------
% 0.13/0.37 % (30199)------------------------------
% 0.13/0.37 % (30194)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (30194)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (30194)Terminated due to inappropriate strategy.
% 0.13/0.37 % (30194)------------------------------
% 0.13/0.37 % (30194)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (30194)Termination reason: Inappropriate
% 0.13/0.37
% 0.13/0.37 % (30194)Memory used [KB]: 718
% 0.13/0.37 % (30194)Time elapsed: 0.003 s
% 0.13/0.37 % (30194)Instructions burned: 2 (million)
% 0.13/0.38 % (30194)------------------------------
% 0.13/0.38 % (30194)------------------------------
% 0.13/0.38 % (30195)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)
% 0.13/0.39 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.13/0.39 % (30200)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)
% 0.13/0.39 % (30201)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)
% 0.13/0.39 % (30200)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.39 % (30200)Terminated due to inappropriate strategy.
% 0.13/0.39 % (30200)------------------------------
% 0.13/0.39 % (30200)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39 % (30200)Termination reason: Inappropriate
% 0.13/0.39
% 0.13/0.39 % (30200)Memory used [KB]: 719
% 0.13/0.39 % (30200)Time elapsed: 0.002 s
% 0.13/0.39 % (30200)Instructions burned: 2 (million)
% 0.13/0.39 % (30202)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)
% 0.13/0.39 % (30200)------------------------------
% 0.13/0.39 % (30200)------------------------------
% 0.13/0.39 % (30202)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.39 % (30202)Terminated due to inappropriate strategy.
% 0.13/0.39 % (30202)------------------------------
% 0.13/0.39 % (30202)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39 % (30202)Termination reason: Inappropriate
% 0.13/0.39
% 0.13/0.39 % (30202)Memory used [KB]: 719
% 0.13/0.39 % (30202)Time elapsed: 0.002 s
% 0.13/0.39 % (30202)Instructions burned: 2 (million)
% 0.13/0.39 % (30202)------------------------------
% 0.13/0.39 % (30202)------------------------------
% 0.13/0.39 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.13/0.39 % (30203)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)
% 0.13/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.13/0.40 % (30204)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 130.43/22.06 % (30198)Time limit reached!
% 130.43/22.06 % (30198)------------------------------
% 130.43/22.06 % (30198)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 130.43/22.06 % (30198)Termination reason: Time limit
% 130.43/22.06 % (30198)Termination phase: Saturation
% 130.43/22.06
% 130.43/22.06 % (30198)Memory used [KB]: 215007
% 130.43/22.06 % (30198)Time elapsed: 21.700 s
% 130.43/22.06 % (30198)Instructions burned: 79967 (million)
% 130.43/22.06 % (30198)------------------------------
% 130.43/22.06 % (30198)------------------------------
% 130.43/22.09 % (30204)Time limit reached!
% 130.43/22.09 % (30204)------------------------------
% 130.43/22.09 % (30204)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 130.43/22.09 % (30204)Termination reason: Time limit
% 130.43/22.09 % (30204)Termination phase: Saturation
% 130.43/22.09
% 130.43/22.09 % (30204)Memory used [KB]: 206304
% 130.43/22.09 % (30204)Time elapsed: 21.700 s
% 130.43/22.09 % (30204)Instructions burned: 73965 (million)
% 130.43/22.09 % (30204)------------------------------
% 130.43/22.09 % (30204)------------------------------
% 146.11/26.02 % (30203)First to succeed.
% 146.11/26.03 % (30203)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30192"
% 146.51/26.07 % (30203)Refutation found. Thanks to Tanya!
% 146.51/26.07 % SZS status Theorem for theBenchmark
% 146.51/26.07 % SZS output start Proof for theBenchmark
% See solution above
% 146.51/26.07 % (30203)------------------------------
% 146.51/26.07 % (30203)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 146.51/26.07 % (30203)Termination reason: Refutation
% 146.51/26.07
% 146.51/26.07 % (30203)Memory used [KB]: 336230
% 146.51/26.07 % (30203)Time elapsed: 25.642 s
% 146.51/26.07 % (30203)Instructions burned: 85531 (million)
% 146.51/26.07 % (30192)Success in time 25.708 s
%------------------------------------------------------------------------------