TSTP Solution File: ARI741_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI741_1 : TPTP v8.2.0. Released v7.0.0.
% 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 : Mon May 20 18:51:24 EDT 2024
% Result : Theorem 0.22s 0.46s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 28 ( 15 unt; 7 typ; 0 def)
% Number of atoms : 28 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 83 ( 14 atm; 15 fun; 36 num; 18 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 8 ( 7 >; 1 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
exp: $real > $real ).
tff(func_def_5,type,
log: $real > $real ).
tff(func_def_6,type,
log2: $real > $real ).
tff(func_def_9,type,
log10: $real > $real ).
tff(func_def_11,type,
pow: ( $real * $real ) > $real ).
tff(func_def_12,type,
sqr: $real > $real ).
tff(func_def_13,type,
sqrt: $real > $real ).
tff(f3823,plain,
$false,
inference(subsumption_resolution,[],[f3812,f70]) ).
tff(f70,plain,
pow(2.0,2.0) != 4.0,
inference(cnf_transformation,[],[f50]) ).
tff(f50,plain,
pow(2.0,2.0) != 4.0,
inference(flattening,[],[f25]) ).
tff(f25,negated_conjecture,
( ~ pow(2.0,2.0) = 4.0 ),
inference(negated_conjecture,[],[f24]) ).
tff(f24,conjecture,
pow(2.0,2.0) = 4.0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pow_2_21) ).
tff(f3812,plain,
pow(2.0,2.0) = 4.0,
inference(evaluation,[],[f3755]) ).
tff(f3755,plain,
$product($sum(2.0,0.0),$sum(2.0,0.0)) = pow($sum(2.0,0.0),2.0),
inference(unit_resulting_resolution,[],[f346,f94]) ).
tff(f94,plain,
! [X0: $real] :
( ~ $less(0.0,X0)
| ( $product(X0,X0) = pow(X0,2.0) ) ),
inference(definition_unfolding,[],[f81,f75]) ).
tff(f75,plain,
! [X0: $real] : ( sqr(X0) = $product(X0,X0) ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,axiom,
! [X0: $real] : ( sqr(X0) = $product(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sqr_def) ).
tff(f81,plain,
! [X0: $real] :
( ( sqr(X0) = pow(X0,2.0) )
| ~ $less(0.0,X0) ),
inference(cnf_transformation,[],[f55]) ).
tff(f55,plain,
! [X0: $real] :
( ( sqr(X0) = pow(X0,2.0) )
| ~ $less(0.0,X0) ),
inference(ennf_transformation,[],[f22]) ).
tff(f22,axiom,
! [X0: $real] :
( $less(0.0,X0)
=> ( sqr(X0) = pow(X0,2.0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pow_x_two) ).
tff(f346,plain,
! [X0: $real] : $less(X0,$sum(2.0,X0)),
inference(evaluation,[],[f304]) ).
tff(f304,plain,
! [X0: $real] : $less(X0,$sum(1.0,$sum(1.0,X0))),
inference(unit_resulting_resolution,[],[f142,f142,f37]) ).
tff(f37,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f142,plain,
! [X0: $real] : $less(X0,$sum(1.0,X0)),
inference(superposition,[],[f132,f31]) ).
tff(f31,plain,
! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f132,plain,
! [X0: $real] : $less(X0,$sum(X0,1.0)),
inference(unit_resulting_resolution,[],[f36,f40]) ).
tff(f40,plain,
! [X0: $real,X1: $real] :
( $less(X1,$sum(X0,1.0))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f36,plain,
! [X0: $real] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ARI741_1 : TPTP v8.2.0. Released v7.0.0.
% 0.14/0.14 % 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 : Sun May 19 13:23:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (14982)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (14992)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (14987)WARNING: value z3 for option sas not known
% 0.15/0.38 % (14985)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (14986)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (14989)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (14988)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (14987)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (14991)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (14985)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (14985)Terminated due to inappropriate strategy.
% 0.15/0.38 % (14985)------------------------------
% 0.15/0.38 % (14985)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (14985)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (14985)Memory used [KB]: 734
% 0.15/0.38 % (14985)Time elapsed: 0.003 s
% 0.15/0.38 % (14985)Instructions burned: 3 (million)
% 0.15/0.38 % (14986)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (14986)Terminated due to inappropriate strategy.
% 0.15/0.38 % (14986)------------------------------
% 0.15/0.38 % (14986)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (14986)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (14986)Memory used [KB]: 735
% 0.15/0.38 % (14986)Time elapsed: 0.003 s
% 0.15/0.38 % (14986)Instructions burned: 3 (million)
% 0.15/0.38 % (14985)------------------------------
% 0.15/0.38 % (14985)------------------------------
% 0.15/0.38 % (14988)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (14988)Terminated due to inappropriate strategy.
% 0.15/0.38 % (14988)------------------------------
% 0.15/0.38 % (14988)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (14988)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (14988)Memory used [KB]: 735
% 0.15/0.38 % (14988)Time elapsed: 0.003 s
% 0.15/0.38 % (14988)Instructions burned: 3 (million)
% 0.15/0.38 % (14986)------------------------------
% 0.15/0.38 % (14986)------------------------------
% 0.15/0.38 % (14988)------------------------------
% 0.15/0.38 % (14988)------------------------------
% 0.15/0.40 % (15001)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.15/0.40 % (15002)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.15/0.40 % (15003)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.15/0.40 % (15001)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.40 % (15001)Terminated due to inappropriate strategy.
% 0.15/0.40 % (15001)------------------------------
% 0.15/0.40 % (15001)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (15001)Termination reason: Inappropriate
% 0.15/0.40
% 0.15/0.40 % (15001)Memory used [KB]: 735
% 0.15/0.40 % (15001)Time elapsed: 0.003 s
% 0.15/0.40 % (15001)Instructions burned: 4 (million)
% 0.15/0.40 % (15001)------------------------------
% 0.15/0.40 % (15001)------------------------------
% 0.15/0.42 % (15010)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 0.22/0.46 % (15002)First to succeed.
% 0.22/0.46 % (15002)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14982"
% 0.22/0.46 % (15002)Refutation found. Thanks to Tanya!
% 0.22/0.46 % SZS status Theorem for theBenchmark
% 0.22/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.46 % (15002)------------------------------
% 0.22/0.46 % (15002)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.46 % (15002)Termination reason: Refutation
% 0.22/0.46
% 0.22/0.46 % (15002)Memory used [KB]: 1424
% 0.22/0.46 % (15002)Time elapsed: 0.063 s
% 0.22/0.46 % (15002)Instructions burned: 111 (million)
% 0.22/0.46 % (14982)Success in time 0.096 s
%------------------------------------------------------------------------------