TSTP Solution File: ARI674_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI674_1 : TPTP v8.2.0. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 18:50:56 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 52 ( 12 unt; 1 typ; 0 def)
% Number of atoms : 96 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 93 ( 48 ~; 38 |; 1 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 108 ( 38 atm; 11 fun; 55 num; 4 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 6 usr; 7 prp; 0-2 aty)
% Number of functors : 9 ( 1 usr; 7 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $int ).
tff(f390,plain,
$false,
inference(avatar_sat_refutation,[],[f151,f249,f328,f344,f358,f377,f389]) ).
tff(f389,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f388]) ).
tff(f388,plain,
( $false
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f387,f26]) ).
tff(f26,plain,
$less(a,2),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
( $less(a,2)
& $less(-2,a) ),
inference(ennf_transformation,[],[f4]) ).
tff(f4,plain,
~ ( ~ $less(a,2)
| ~ $less(-2,a) ),
inference(theory_normalization,[],[f3]) ).
tff(f3,negated_conjecture,
~ ( $lesseq(2,a)
| $lesseq(a,-2) ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
( $lesseq(2,a)
| $lesseq(a,-2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_001) ).
tff(f387,plain,
( ~ $less(a,2)
| ~ spl0_10 ),
inference(evaluation,[],[f386]) ).
tff(f386,plain,
( ~ $less(a,$sum(1,1))
| ~ spl0_10 ),
inference(resolution,[],[f305,f23]) ).
tff(f23,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_161,[]) ).
tff(f305,plain,
( $less(1,a)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f303]) ).
tff(f303,plain,
( spl0_10
<=> $less(1,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
tff(f377,plain,
( spl0_9
| spl0_10
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f375,f135,f303,f299]) ).
tff(f299,plain,
( spl0_9
<=> ( a = 1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
tff(f135,plain,
( spl0_8
<=> $less(0,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
tff(f375,plain,
( $less(1,a)
| ( a = 1 )
| ~ spl0_8 ),
inference(resolution,[],[f294,f13]) ).
tff(f13,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f294,plain,
( ~ $less(a,1)
| ~ spl0_8 ),
inference(evaluation,[],[f293]) ).
tff(f293,plain,
( ~ $less(a,$sum(0,1))
| ~ spl0_8 ),
inference(resolution,[],[f137,f23]) ).
tff(f137,plain,
( $less(0,a)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f135]) ).
tff(f358,plain,
( spl0_8
| ~ spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f357,f131,f84,f135]) ).
tff(f84,plain,
( spl0_2
<=> $less(-1,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f131,plain,
( spl0_7
<=> ( a = 0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
tff(f357,plain,
( $less(0,a)
| ~ spl0_2
| spl0_7 ),
inference(subsumption_resolution,[],[f354,f132]) ).
tff(f132,plain,
( ( a != 0 )
| spl0_7 ),
inference(avatar_component_clause,[],[f131]) ).
tff(f354,plain,
( $less(0,a)
| ( a = 0 )
| ~ spl0_2 ),
inference(resolution,[],[f211,f13]) ).
tff(f211,plain,
( ~ $less(a,0)
| ~ spl0_2 ),
inference(evaluation,[],[f210]) ).
tff(f210,plain,
( ~ $less(a,$sum(-1,1))
| ~ spl0_2 ),
inference(resolution,[],[f86,f23]) ).
tff(f86,plain,
( $less(-1,a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f84]) ).
tff(f344,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f342,f84,f80]) ).
tff(f80,plain,
( spl0_1
<=> ( a = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f342,plain,
( $less(-1,a)
| ( a = -1 ) ),
inference(resolution,[],[f61,f13]) ).
tff(f61,plain,
~ $less(a,-1),
inference(evaluation,[],[f58]) ).
tff(f58,plain,
~ $less(a,$sum(-2,1)),
inference(resolution,[],[f23,f25]) ).
tff(f25,plain,
$less(-2,a),
inference(cnf_transformation,[],[f24]) ).
tff(f328,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f327]) ).
tff(f327,plain,
( $false
| ~ spl0_9 ),
inference(evaluation,[],[f318]) ).
tff(f318,plain,
( ~ $less($product(1,1),4)
| ~ spl0_9 ),
inference(backward_demodulation,[],[f27,f301]) ).
tff(f301,plain,
( ( a = 1 )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f299]) ).
tff(f27,plain,
~ $less($product(a,a),4),
inference(cnf_transformation,[],[f5]) ).
tff(f5,plain,
~ $less($product(a,a),4),
inference(theory_normalization,[],[f1]) ).
tff(f1,axiom,
$lesseq(4,$product(a,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
tff(f249,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f248]) ).
tff(f248,plain,
( $false
| ~ spl0_7 ),
inference(evaluation,[],[f243]) ).
tff(f243,plain,
( ~ $less($product(0,0),4)
| ~ spl0_7 ),
inference(backward_demodulation,[],[f27,f133]) ).
tff(f133,plain,
( ( a = 0 )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f131]) ).
tff(f151,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f150]) ).
tff(f150,plain,
( $false
| ~ spl0_1 ),
inference(evaluation,[],[f147]) ).
tff(f147,plain,
( ~ $less($product(-1,-1),4)
| ~ spl0_1 ),
inference(backward_demodulation,[],[f27,f82]) ).
tff(f82,plain,
( ( a = -1 )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ARI674_1 : TPTP v8.2.0. Released v6.3.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n027.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 : Sun May 19 13:16:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (30222)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (30224)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (30226)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (30227)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (30225)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)
% 0.14/0.37 % (30228)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (30229)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)
% 0.14/0.37 % (30223)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (30224)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (30224)Terminated due to inappropriate strategy.
% 0.14/0.38 % (30224)------------------------------
% 0.14/0.38 % (30224)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (30226)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (30226)Terminated due to inappropriate strategy.
% 0.14/0.38 % (30226)------------------------------
% 0.14/0.38 % (30226)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (30226)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (30226)Memory used [KB]: 719
% 0.14/0.38 % (30226)Time elapsed: 0.002 s
% 0.14/0.38 % (30226)Instructions burned: 2 (million)
% 0.14/0.38 % (30224)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (30224)Memory used [KB]: 719
% 0.14/0.38 % (30224)Time elapsed: 0.002 s
% 0.14/0.38 % (30224)Instructions burned: 2 (million)
% 0.14/0.38 % (30229)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (30229)Terminated due to inappropriate strategy.
% 0.14/0.38 % (30229)------------------------------
% 0.14/0.38 % (30229)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (30229)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (30229)Memory used [KB]: 719
% 0.14/0.38 % (30229)Time elapsed: 0.002 s
% 0.14/0.38 % (30229)Instructions burned: 2 (million)
% 0.14/0.38 % (30223)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (30223)Terminated due to inappropriate strategy.
% 0.14/0.38 % (30223)------------------------------
% 0.14/0.38 % (30223)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (30223)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (30223)Memory used [KB]: 719
% 0.14/0.38 % (30223)Time elapsed: 0.002 s
% 0.14/0.38 % (30223)Instructions burned: 2 (million)
% 0.14/0.38 % (30226)------------------------------
% 0.14/0.38 % (30226)------------------------------
% 0.14/0.38 % (30224)------------------------------
% 0.14/0.38 % (30224)------------------------------
% 0.14/0.38 % (30229)------------------------------
% 0.14/0.38 % (30229)------------------------------
% 0.14/0.38 % (30223)------------------------------
% 0.14/0.38 % (30223)------------------------------
% 0.14/0.39 % (30228)First to succeed.
% 0.14/0.39 % (30228)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30222"
% 0.14/0.39 % (30228)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (30228)------------------------------
% 0.14/0.39 % (30228)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (30228)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (30228)Memory used [KB]: 887
% 0.14/0.39 % (30228)Time elapsed: 0.015 s
% 0.14/0.39 % (30228)Instructions burned: 19 (million)
% 0.14/0.39 % (30222)Success in time 0.029 s
%------------------------------------------------------------------------------