TSTP Solution File: NUM895_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM895_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 : n009.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 : Sun May 5 08:43:03 EDT 2024
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 12 unt; 3 typ; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 74 ( 0 atm; 45 fun; 2 num; 27 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 27 ( 21 !; 6 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(func_def_6,type,
sK1: $int ).
tff(func_def_7,type,
sK2: $int ).
tff(f4488,plain,
$false,
inference(trivial_inequality_removal,[],[f4464]) ).
tff(f4464,plain,
sK1 != sK1,
inference(superposition,[],[f20,f4428]) ).
tff(f4428,plain,
sK1 = $sum(sK2,$uminus(sK0)),
inference(superposition,[],[f578,f520]) ).
tff(f520,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f487]) ).
tff(f487,plain,
! [X0: $int,X1: $int] : ( $sum(0,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f5,f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f5,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f578,plain,
! [X0: $int] : ( $sum(sK2,X0) = $sum(sK0,$sum(X0,sK1)) ),
inference(superposition,[],[f493,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f493,plain,
! [X0: $int] : ( $sum(sK0,$sum(sK1,X0)) = $sum(sK2,X0) ),
inference(superposition,[],[f5,f19]) ).
tff(f19,plain,
sK2 = $sum(sK0,sK1),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ( sK1 != $sum(sK2,$uminus(sK0)) )
& ( sK2 = $sum(sK0,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int,X1: $int,X2: $int] :
( ( $sum(X2,$uminus(X0)) != X1 )
& ( $sum(X0,X1) = X2 ) )
=> ( ( sK1 != $sum(sK2,$uminus(sK0)) )
& ( sK2 = $sum(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int,X1: $int,X2: $int] :
( ( $sum(X2,$uminus(X0)) != X1 )
& ( $sum(X0,X1) = X2 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $int,X1: $int,X2: $int] :
( ( $sum(X0,X1) = X2 )
=> ( $sum(X2,$uminus(X0)) = X1 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int,X2: $int] :
( ( $sum(X0,X1) = X2 )
=> ( $difference(X2,X0) = X1 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int,X2: $int] :
( ( $sum(X0,X1) = X2 )
=> ( $difference(X2,X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_difference) ).
tff(f20,plain,
sK1 != $sum(sK2,$uminus(sK0)),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM895_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 14:51:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (19094)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (19097)WARNING: value z3 for option sas not known
% 0.14/0.37 % (19098)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (19096)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (19099)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)
% 0.14/0.37 % (19095)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (19097)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)
% 0.14/0.37 % (19101)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)
% 0.14/0.37 % (19098)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (19096)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (19098)Terminated due to inappropriate strategy.
% 0.14/0.37 % (19098)------------------------------
% 0.14/0.37 % (19098)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (19096)Terminated due to inappropriate strategy.
% 0.14/0.37 % (19096)------------------------------
% 0.14/0.37 % (19096)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (19098)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (19098)Memory used [KB]: 723
% 0.14/0.37 % (19098)Time elapsed: 0.002 s
% 0.14/0.37 % (19095)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (19098)Instructions burned: 2 (million)
% 0.14/0.37 % (19095)Terminated due to inappropriate strategy.
% 0.14/0.37 % (19095)------------------------------
% 0.14/0.37 % (19095)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (19095)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (19100)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)
% 0.14/0.37 % (19095)Memory used [KB]: 723
% 0.14/0.37 % (19095)Time elapsed: 0.002 s
% 0.14/0.37 % (19095)Instructions burned: 2 (million)
% 0.14/0.37 % (19096)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (19096)Memory used [KB]: 723
% 0.14/0.37 % (19096)Time elapsed: 0.002 s
% 0.14/0.37 % (19096)Instructions burned: 2 (million)
% 0.14/0.37 % (19098)------------------------------
% 0.14/0.37 % (19098)------------------------------
% 0.14/0.37 % (19095)------------------------------
% 0.14/0.37 % (19095)------------------------------
% 0.14/0.37 % (19096)------------------------------
% 0.14/0.37 % (19096)------------------------------
% 0.14/0.38 % (19102)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.14/0.38 % (19103)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)
% 0.14/0.38 % (19102)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.39 % (19102)Terminated due to inappropriate strategy.
% 0.14/0.39 % (19102)------------------------------
% 0.14/0.39 % (19102)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (19102)Termination reason: Inappropriate
% 0.14/0.39 % (19104)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)
% 0.14/0.39
% 0.14/0.39 % (19102)Memory used [KB]: 723
% 0.14/0.39 % (19102)Time elapsed: 0.002 s
% 0.14/0.39 % (19102)Instructions burned: 2 (million)
% 0.14/0.39 % (19102)------------------------------
% 0.14/0.39 % (19102)------------------------------
% 0.20/0.40 % (19105)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)
% 0.20/0.50 % (19100)First to succeed.
% 0.20/0.50 % (19100)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19094"
% 0.20/0.50 % (19100)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (19100)------------------------------
% 0.20/0.50 % (19100)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.50 % (19100)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (19100)Memory used [KB]: 2279
% 0.20/0.50 % (19100)Time elapsed: 0.132 s
% 0.20/0.50 % (19100)Instructions burned: 235 (million)
% 0.20/0.50 % (19094)Success in time 0.135 s
%------------------------------------------------------------------------------