TSTP Solution File: NUM894_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM894_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 : n016.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 08:43:02 EDT 2024
% Result : Theorem 0.15s 0.32s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 6 unt; 2 typ; 0 def)
% Number of atoms : 24 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 8 ~; 2 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 62 ( 22 atm; 13 fun; 11 num; 16 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 12 !; 4 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(func_def_5,type,
sK1: $int ).
tff(f81,plain,
$false,
inference(subsumption_resolution,[],[f74,f20]) ).
tff(f20,plain,
$less(sK0,sK1),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( $less(sK0,sK1)
& $less(sK1,$sum(sK0,1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int,X1: $int] :
( $less(X0,X1)
& $less(X1,$sum(X0,1)) )
=> ( $less(sK0,sK1)
& $less(sK1,$sum(sK0,1)) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int,X1: $int] :
( $less(X0,X1)
& $less(X1,$sum(X0,1)) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
=> ~ $less(X0,X1) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
=> $lesseq(X1,X0) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
=> $lesseq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_successor) ).
tff(f74,plain,
~ $less(sK0,sK1),
inference(resolution,[],[f52,f25]) ).
tff(f25,plain,
$less(sK1,$sum(1,sK0)),
inference(backward_demodulation,[],[f19,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f19,plain,
$less(sK1,$sum(sK0,1)),
inference(cnf_transformation,[],[f18]) ).
tff(f52,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ),
inference(superposition,[],[f15,f4]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : NUM894_1 : TPTP v8.1.2. Released v5.0.0.
% 0.05/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n016.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 14:53:07 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % (11866)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (11871)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.32 % (11873)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)
% 0.15/0.32 % (11867)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.32 % (11870)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.32 % (11873)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.32 % (11867)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.32 % (11873)Terminated due to inappropriate strategy.
% 0.15/0.32 % (11873)------------------------------
% 0.15/0.32 % (11873)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.32 % (11867)Terminated due to inappropriate strategy.
% 0.15/0.32 % (11867)------------------------------
% 0.15/0.32 % (11867)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.32 % (11873)Termination reason: Inappropriate
% 0.15/0.32
% 0.15/0.32 % (11873)Memory used [KB]: 719
% 0.15/0.32 % (11873)Time elapsed: 0.002 s
% 0.15/0.32 % (11873)Instructions burned: 2 (million)
% 0.15/0.32 % (11870)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.32 % (11870)Terminated due to inappropriate strategy.
% 0.15/0.32 % (11870)------------------------------
% 0.15/0.32 % (11870)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.32 % (11867)Termination reason: Inappropriate
% 0.15/0.32
% 0.15/0.32 % (11867)Memory used [KB]: 718
% 0.15/0.32 % (11867)Time elapsed: 0.001 s
% 0.15/0.32 % (11867)Instructions burned: 2 (million)
% 0.15/0.32 % (11870)Termination reason: Inappropriate
% 0.15/0.32
% 0.15/0.32 % (11870)Memory used [KB]: 718
% 0.15/0.32 % (11870)Time elapsed: 0.001 s
% 0.15/0.32 % (11870)Instructions burned: 2 (million)
% 0.15/0.32 % (11873)------------------------------
% 0.15/0.32 % (11873)------------------------------
% 0.15/0.32 % (11867)------------------------------
% 0.15/0.32 % (11867)------------------------------
% 0.15/0.32 % (11870)------------------------------
% 0.15/0.32 % (11870)------------------------------
% 0.15/0.32 % (11872)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.32 % (11868)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.32 % (11869)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)
% 0.15/0.32 % (11868)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.32 % (11868)Terminated due to inappropriate strategy.
% 0.15/0.32 % (11868)------------------------------
% 0.15/0.32 % (11868)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.32 % (11868)Termination reason: Inappropriate
% 0.15/0.32
% 0.15/0.32 % (11868)Memory used [KB]: 718
% 0.15/0.32 % (11868)Time elapsed: 0.001 s
% 0.15/0.32 % (11868)Instructions burned: 2 (million)
% 0.15/0.32 % (11868)------------------------------
% 0.15/0.32 % (11868)------------------------------
% 0.15/0.32 % (11871)First to succeed.
% 0.15/0.32 % (11871)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11866"
% 0.15/0.32 % (11872)Also succeeded, but the first one will report.
% 0.15/0.32 % (11871)Refutation found. Thanks to Tanya!
% 0.15/0.32 % SZS status Theorem for theBenchmark
% 0.15/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.32 % (11871)------------------------------
% 0.15/0.32 % (11871)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.32 % (11871)Termination reason: Refutation
% 0.15/0.32
% 0.15/0.32 % (11871)Memory used [KB]: 764
% 0.15/0.32 % (11871)Time elapsed: 0.004 s
% 0.15/0.32 % (11871)Instructions burned: 5 (million)
% 0.15/0.32 % (11866)Success in time 0.014 s
%------------------------------------------------------------------------------