TSTP Solution File: ARI735_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI735_1 : TPTP v8.2.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 18:51:23 EDT 2024
% Result : Theorem 0.22s 0.40s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 9 unt; 1 typ; 0 def)
% Number of atoms : 58 ( 25 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 71 ( 33 ~; 9 |; 17 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 133 ( 29 atm; 27 fun; 54 num; 23 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 0 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 16 !; 7 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(f1215,plain,
$false,
inference(unit_resulting_resolution,[],[f22,f21,f77,f11]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f77,plain,
~ $less(0,sK0),
inference(evaluation,[],[f64]) ).
tff(f64,plain,
~ $less(0,$sum($sum(-1,sK0),1)),
inference(unit_resulting_resolution,[],[f26,f15]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
tff(f26,plain,
$less($sum(-1,sK0),0),
inference(forward_demodulation,[],[f25,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f25,plain,
$less($sum(sK0,-1),0),
inference(evaluation,[],[f24]) ).
tff(f24,plain,
$less($sum(sK0,$uminus(1)),0),
inference(equality_resolution,[],[f23]) ).
tff(f23,plain,
! [X1: $int] :
( $less(X1,0)
| ( $sum(sK0,$uminus(1)) != X1 ) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ! [X1: $int] :
( $less(X1,0)
| ( $sum(sK0,$uminus(1)) != X1 ) )
& ( 0 != sK0 )
& ~ $less(sK0,0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f18,f19]) ).
tff(f19,plain,
( ? [X0: $int] :
( ! [X1: $int] :
( $less(X1,0)
| ( $sum(X0,$uminus(1)) != X1 ) )
& ( 0 != X0 )
& ~ $less(X0,0) )
=> ( ! [X1: $int] :
( $less(X1,0)
| ( $sum(sK0,$uminus(1)) != X1 ) )
& ( 0 != sK0 )
& ~ $less(sK0,0) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
? [X0: $int] :
( ! [X1: $int] :
( $less(X1,0)
| ( $sum(X0,$uminus(1)) != X1 ) )
& ( 0 != X0 )
& ~ $less(X0,0) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
? [X0: $int] :
( ! [X1: $int] :
( $less(X1,0)
| ( $sum(X0,$uminus(1)) != X1 ) )
& ( 0 != X0 )
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ( ( 0 != X0 )
=> ? [X1: $int] :
( ~ $less(X1,0)
& ( $sum(X0,$uminus(1)) = X1 ) ) ) ),
inference(true_and_false_elimination,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ( ( ( 0 != X0 )
=> ? [X1: $int] :
( ~ $less(X1,0)
& ( $sum(X0,$uminus(1)) = X1 ) ) )
& ( ( 0 = X0 )
=> $true ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( $greatereq(X0,0)
=> ( ( ( 0 != X0 )
=> ? [X1: $int] :
( $greatereq(X1,0)
& ( $difference(X0,1) = X1 ) ) )
& ( ( 0 = X0 )
=> $true ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( $greatereq(X0,0)
=> ( ( ( 0 != X0 )
=> ? [X1: $int] :
( $greatereq(X1,0)
& ( $difference(X0,1) = X1 ) ) )
& ( ( 0 = X0 )
=> $true ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula) ).
tff(f21,plain,
~ $less(sK0,0),
inference(cnf_transformation,[],[f20]) ).
tff(f22,plain,
0 != sK0,
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI735_1 : TPTP v8.2.0. Released v6.4.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n021.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 13:26:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (6860)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.37 % (6863)WARNING: value z3 for option sas not known
% 0.22/0.37 % (6864)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.37 % (6861)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.37 % (6863)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)
% 0.22/0.37 % (6865)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)
% 0.22/0.37 % (6862)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.37 % (6866)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)
% 0.22/0.37 % (6867)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)
% 0.22/0.37 % (6864)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.37 % (6861)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.37 % (6864)Terminated due to inappropriate strategy.
% 0.22/0.37 % (6864)------------------------------
% 0.22/0.37 % (6864)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.37 % (6864)Termination reason: Inappropriate
% 0.22/0.37
% 0.22/0.37 % (6861)Terminated due to inappropriate strategy.
% 0.22/0.37 % (6861)------------------------------
% 0.22/0.37 % (6861)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.37 % (6864)Memory used [KB]: 723
% 0.22/0.37 % (6861)Termination reason: Inappropriate
% 0.22/0.37 % (6864)Time elapsed: 0.002 s
% 0.22/0.37
% 0.22/0.37 % (6861)Memory used [KB]: 723
% 0.22/0.37 % (6864)Instructions burned: 2 (million)
% 0.22/0.37 % (6861)Time elapsed: 0.002 s
% 0.22/0.37 % (6861)Instructions burned: 2 (million)
% 0.22/0.37 % (6862)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.37 % (6862)Terminated due to inappropriate strategy.
% 0.22/0.37 % (6862)------------------------------
% 0.22/0.37 % (6862)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.37 % (6862)Termination reason: Inappropriate
% 0.22/0.37
% 0.22/0.37 % (6862)Memory used [KB]: 724
% 0.22/0.37 % (6862)Time elapsed: 0.003 s
% 0.22/0.37 % (6862)Instructions burned: 2 (million)
% 0.22/0.37 % (6861)------------------------------
% 0.22/0.37 % (6861)------------------------------
% 0.22/0.37 % (6864)------------------------------
% 0.22/0.37 % (6864)------------------------------
% 0.22/0.37 % (6862)------------------------------
% 0.22/0.37 % (6862)------------------------------
% 0.22/0.39 % (6868)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.22/0.39 % (6870)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)
% 0.22/0.39 % (6869)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)
% 0.22/0.39 % (6868)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.39 % (6868)Terminated due to inappropriate strategy.
% 0.22/0.39 % (6868)------------------------------
% 0.22/0.39 % (6868)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.39 % (6868)Termination reason: Inappropriate
% 0.22/0.39
% 0.22/0.39 % (6868)Memory used [KB]: 723
% 0.22/0.39 % (6868)Time elapsed: 0.002 s
% 0.22/0.39 % (6868)Instructions burned: 2 (million)
% 0.22/0.39 % (6868)------------------------------
% 0.22/0.39 % (6868)------------------------------
% 0.22/0.39 % (6867)First to succeed.
% 0.22/0.39 % (6867)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6860"
% 0.22/0.40 % (6867)Refutation found. Thanks to Tanya!
% 0.22/0.40 % SZS status Theorem for theBenchmark
% 0.22/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40 % (6867)------------------------------
% 0.22/0.40 % (6867)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.40 % (6867)Termination reason: Refutation
% 0.22/0.40
% 0.22/0.40 % (6867)Memory used [KB]: 1086
% 0.22/0.40 % (6867)Time elapsed: 0.023 s
% 0.22/0.40 % (6867)Instructions burned: 40 (million)
% 0.22/0.40 % (6860)Success in time 0.036 s
%------------------------------------------------------------------------------