TSTP Solution File: NUM913_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM913_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 : n029.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 May 21 02:14:17 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 5 unt; 2 typ; 0 def)
% Number of atoms : 74 ( 24 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 82 ( 33 ~; 34 |; 10 &)
% ( 3 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 71 ( 49 atm; 0 fun; 0 num; 22 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 : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 22 ( 14 !; 8 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $real ).
tff(func_def_5,type,
sK1: $real ).
tff(f125,plain,
$false,
inference(resolution,[],[f124,f9]) ).
tff(f9,plain,
! [X0: $real] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f124,plain,
$less(sK0,sK0),
inference(trivial_inequality_removal,[],[f111]) ).
tff(f111,plain,
( ( sK0 != sK0 )
| $less(sK0,sK0) ),
inference(backward_demodulation,[],[f23,f110]) ).
tff(f110,plain,
sK0 = sK1,
inference(duplicate_literal_removal,[],[f102]) ).
tff(f102,plain,
( ( sK0 = sK1 )
| ( sK0 = sK1 ) ),
inference(resolution,[],[f96,f64]) ).
tff(f64,plain,
( ~ $less(sK1,sK0)
| ( sK0 = sK1 ) ),
inference(resolution,[],[f63,f20]) ).
tff(f20,plain,
( $less(sK0,sK1)
| ( sK0 = sK1 )
| ~ $less(sK1,sK0) ),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( ( ( ( sK0 != sK1 )
& ~ $less(sK0,sK1) )
| $less(sK1,sK0) )
& ( ( sK0 = sK1 )
| $less(sK0,sK1)
| ~ $less(sK1,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f17,f18]) ).
tff(f18,plain,
( ? [X0: $real,X1: $real] :
( ( ( ( X0 != X1 )
& ~ $less(X0,X1) )
| $less(X1,X0) )
& ( ( X0 = X1 )
| $less(X0,X1)
| ~ $less(X1,X0) ) )
=> ( ( ( ( sK0 != sK1 )
& ~ $less(sK0,sK1) )
| $less(sK1,sK0) )
& ( ( sK0 = sK1 )
| $less(sK0,sK1)
| ~ $less(sK1,sK0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
? [X0: $real,X1: $real] :
( ( ( ( X0 != X1 )
& ~ $less(X0,X1) )
| $less(X1,X0) )
& ( ( X0 = X1 )
| $less(X0,X1)
| ~ $less(X1,X0) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
? [X0: $real,X1: $real] :
( ( ( ( X0 != X1 )
& ~ $less(X0,X1) )
| $less(X1,X0) )
& ( ( X0 = X1 )
| $less(X0,X1)
| ~ $less(X1,X0) ) ),
inference(nnf_transformation,[],[f15]) ).
tff(f15,plain,
? [X0: $real,X1: $real] :
( ~ $less(X1,X0)
<~> ( ( X0 = X1 )
| $less(X0,X1) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $real,X1: $real] :
( ~ $less(X1,X0)
<=> ( ( X0 = X1 )
| $less(X0,X1) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $real,X1: $real] :
( $lesseq(X0,X1)
<=> ( ( X0 = X1 )
| $less(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $real,X1: $real] :
( $lesseq(X0,X1)
<=> ( ( X0 = X1 )
| $less(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_combined_problem_1) ).
tff(f63,plain,
~ $less(sK0,sK1),
inference(duplicate_literal_removal,[],[f49]) ).
tff(f49,plain,
( ~ $less(sK0,sK1)
| ~ $less(sK0,sK1) ),
inference(resolution,[],[f41,f21]) ).
tff(f21,plain,
( $less(sK1,sK0)
| ~ $less(sK0,sK1) ),
inference(cnf_transformation,[],[f19]) ).
tff(f41,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,X1)
| ~ $less(X1,X0) ),
inference(resolution,[],[f10,f9]) ).
tff(f10,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_143,[]) ).
tff(f96,plain,
( $less(sK1,sK0)
| ( sK0 = sK1 ) ),
inference(resolution,[],[f11,f63]) ).
tff(f11,plain,
! [X0: $real,X1: $real] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f23,plain,
( ( sK0 != sK1 )
| $less(sK0,sK0) ),
inference(inner_rewriting,[],[f22]) ).
tff(f22,plain,
( ( sK0 != sK1 )
| $less(sK1,sK0) ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM913_1 : TPTP v8.2.0. Released v5.0.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 06:23:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (29645)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (29648)WARNING: value z3 for option sas not known
% 0.13/0.37 % (29646)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (29649)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (29647)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (29650)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)
% 0.13/0.37 % (29648)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)
% 0.13/0.37 % (29652)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)
% 0.13/0.37 % (29651)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)
% 0.13/0.37 % (29649)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (29646)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (29647)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (29646)Terminated due to inappropriate strategy.
% 0.13/0.37 % (29646)------------------------------
% 0.13/0.37 % (29646)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (29647)Terminated due to inappropriate strategy.
% 0.13/0.37 % (29647)------------------------------
% 0.13/0.37 % (29647)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (29646)Termination reason: Inappropriate
% 0.13/0.37 % (29647)Termination reason: Inappropriate
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 % (29646)Memory used [KB]: 723
% 0.13/0.37 % (29647)Memory used [KB]: 724
% 0.13/0.37 % (29646)Time elapsed: 0.002 s
% 0.13/0.37 % (29647)Time elapsed: 0.002 s
% 0.13/0.37 % (29646)Instructions burned: 2 (million)
% 0.13/0.37 % (29647)Instructions burned: 2 (million)
% 0.13/0.37 % (29649)Terminated due to inappropriate strategy.
% 0.13/0.37 % (29649)------------------------------
% 0.13/0.37 % (29649)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (29649)Termination reason: Inappropriate
% 0.13/0.37
% 0.13/0.37 % (29649)Memory used [KB]: 723
% 0.13/0.37 % (29649)Time elapsed: 0.002 s
% 0.13/0.37 % (29649)Instructions burned: 2 (million)
% 0.13/0.37 % (29646)------------------------------
% 0.13/0.37 % (29646)------------------------------
% 0.13/0.37 % (29647)------------------------------
% 0.13/0.37 % (29647)------------------------------
% 0.13/0.37 % (29649)------------------------------
% 0.13/0.37 % (29649)------------------------------
% 0.13/0.37 % (29651)First to succeed.
% 0.13/0.37 % (29651)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29645"
% 0.13/0.37 % (29648)Also succeeded, but the first one will report.
% 0.13/0.37 % (29651)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (29651)------------------------------
% 0.13/0.37 % (29651)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (29651)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (29651)Memory used [KB]: 778
% 0.13/0.37 % (29651)Time elapsed: 0.007 s
% 0.13/0.37 % (29651)Instructions burned: 7 (million)
% 0.13/0.37 % (29645)Success in time 0.009 s
%------------------------------------------------------------------------------