TSTP Solution File: ARI430_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI430_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 : n026.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 18:50:20 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 22 ( 11 unt; 1 typ; 0 def)
% Number of atoms : 35 ( 24 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 11 ~; 6 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 97 ( 10 atm; 33 fun; 28 num; 26 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 ( 1 usr; 6 con; 0-2 aty)
% Number of variables : 26 ( 24 !; 2 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $real ).
tff(f21,plain,
$false,
inference(global_subsumption,[],[f14,f13,f12,f11,f10,f9,f8,f7,f6,f5,f4,f19,f20]) ).
tff(f20,plain,
14.25 = sK0,
inference(evaluation,[],[f18]) ).
tff(f18,plain,
$sum(23.76,$uminus(9.51)) = sK0,
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( 14.25 != sK0 )
& ( $sum(23.76,$uminus(9.51)) = sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $real] :
( ( 14.25 != X0 )
& ( $sum(23.76,$uminus(9.51)) = X0 ) )
=> ( ( 14.25 != sK0 )
& ( $sum(23.76,$uminus(9.51)) = sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $real] :
( ( 14.25 != X0 )
& ( $sum(23.76,$uminus(9.51)) = X0 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $real] :
( ( $sum(23.76,$uminus(9.51)) = X0 )
=> ( 14.25 = X0 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( ( $difference(23.76,9.51) = X0 )
=> ( 14.25 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $real] :
( ( $difference(23.76,9.51) = X0 )
=> ( 14.25 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_difference_problem_6) ).
tff(f19,plain,
14.25 != sK0,
inference(cnf_transformation,[],[f17]) ).
tff(f4,plain,
! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f5,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f6,plain,
! [X0: $real] : ( $sum(X0,0.0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f7,plain,
! [X0: $real,X1: $real] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_139,[]) ).
tff(f8,plain,
! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f9,plain,
! [X0: $real] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f10,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f11,plain,
! [X0: $real,X1: $real] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f12,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_145,[]) ).
tff(f13,plain,
! [X0: $real,X1: $real] :
( $less(X0,X1)
| $less(X1,$sum(X0,1.0)) ),
introduced(theory_axiom_147,[]) ).
tff(f14,plain,
! [X0: $real] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ARI430_1 : TPTP v8.2.0. Released v5.0.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 13:32:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (15437)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (15440)WARNING: value z3 for option sas not known
% 0.21/0.38 % (15438)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (15441)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (15442)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)
% 0.21/0.38 % (15443)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)
% 0.21/0.38 % (15440)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)
% 0.21/0.38 % (15439)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (15444)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)
% 0.21/0.38 % (15438)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.38 % (15441)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.38 % (15439)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.38 % (15441)Terminated due to inappropriate strategy.
% 0.21/0.38 % (15441)------------------------------
% 0.21/0.38 % (15441)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (15438)Terminated due to inappropriate strategy.
% 0.21/0.38 % (15438)------------------------------
% 0.21/0.38 % (15438)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (15439)Terminated due to inappropriate strategy.
% 0.21/0.38 % (15439)------------------------------
% 0.21/0.38 % (15439)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (15438)Termination reason: Inappropriate
% 0.21/0.38
% 0.21/0.38 % (15439)Termination reason: Inappropriate
% 0.21/0.38
% 0.21/0.38 % (15438)Memory used [KB]: 723
% 0.21/0.38 % (15439)Memory used [KB]: 723
% 0.21/0.38 % (15438)Time elapsed: 0.003 s
% 0.21/0.38 % (15439)Time elapsed: 0.003 s
% 0.21/0.38 % (15438)Instructions burned: 2 (million)
% 0.21/0.38 % (15439)Instructions burned: 2 (million)
% 0.21/0.38 % (15441)Termination reason: Inappropriate
% 0.21/0.38
% 0.21/0.38 % (15441)Memory used [KB]: 723
% 0.21/0.38 % (15441)Time elapsed: 0.003 s
% 0.21/0.38 % (15441)Instructions burned: 2 (million)
% 0.21/0.38 % (15438)------------------------------
% 0.21/0.38 % (15438)------------------------------
% 0.21/0.38 % (15439)------------------------------
% 0.21/0.38 % (15439)------------------------------
% 0.21/0.38 % (15441)------------------------------
% 0.21/0.38 % (15441)------------------------------
% 0.21/0.38 % (15440)First to succeed.
% 0.21/0.38 % (15444)Also succeeded, but the first one will report.
% 0.21/0.38 % (15442)Also succeeded, but the first one will report.
% 0.21/0.38 % (15443)Also succeeded, but the first one will report.
% 0.21/0.38 % (15440)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15437"
% 0.21/0.38 % (15440)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (15440)------------------------------
% 0.21/0.38 % (15440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (15440)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (15440)Memory used [KB]: 738
% 0.21/0.38 % (15440)Time elapsed: 0.004 s
% 0.21/0.38 % (15440)Instructions burned: 3 (million)
% 0.21/0.38 % (15437)Success in time 0.009 s
%------------------------------------------------------------------------------