TSTP Solution File: ARI592_1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI592_1 : TPTP v8.1.2. Released v5.1.0.
% 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 : Sun May 5 04:36:24 EDT 2024
% Result : Theorem 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 90 ( 22 unt; 2 typ; 0 def)
% Number of atoms : 184 ( 33 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 176 ( 80 ~; 83 |; 8 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 409 ( 132 atm; 51 fun; 136 num; 90 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 2 usr; 6 con; 0-2 aty)
% Number of variables : 90 ( 84 !; 6 ?; 90 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(func_def_6,type,
sK1: $int ).
tff(f144,plain,
$false,
inference(avatar_sat_refutation,[],[f51,f133,f140,f143]) ).
tff(f143,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f142]) ).
tff(f142,plain,
( $false
| ~ spl2_1 ),
inference(evaluation,[],[f141]) ).
tff(f141,plain,
( ( 2 = 1 )
| ~ spl2_1 ),
inference(forward_demodulation,[],[f46,f93]) ).
tff(f93,plain,
2 = sK0,
inference(evaluation,[],[f90]) ).
tff(f90,plain,
( $less(2,1)
| ( 2 = sK0 ) ),
inference(resolution,[],[f86,f18]) ).
tff(f18,plain,
$less(2,sK1),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ! [X2: $int] :
( ( sK0 = X2 )
| ~ $less(X2,sK1)
| ~ $less(0,X2) )
& $less(2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int,X1: $int] :
( ! [X2: $int] :
( ( X0 = X2 )
| ~ $less(X2,X1)
| ~ $less(0,X2) )
& $less(2,X1) )
=> ( ! [X2: $int] :
( ( sK0 = X2 )
| ~ $less(X2,sK1)
| ~ $less(0,X2) )
& $less(2,sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int,X1: $int] :
( ! [X2: $int] :
( ( X0 = X2 )
| ~ $less(X2,X1)
| ~ $less(0,X2) )
& $less(2,X1) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int] :
( $less(2,X1)
=> ? [X2: $int] :
( ( X0 != X2 )
& $less(X2,X1)
& $less(0,X2) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int] :
( $less(2,X1)
=> ? [X2: $int] :
( ( X0 != X2 )
& $less(X2,X1)
& $less(0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exists_X_0_Z_noteq_Y) ).
tff(f86,plain,
! [X0: $int] :
( ~ $less(X0,sK1)
| $less(X0,1)
| ( sK0 = X0 ) ),
inference(resolution,[],[f78,f19]) ).
tff(f19,plain,
! [X2: $int] :
( ~ $less(0,X2)
| ~ $less(X2,sK1)
| ( sK0 = X2 ) ),
inference(cnf_transformation,[],[f17]) ).
tff(f78,plain,
! [X0: $int] :
( $less(X0,1)
| $less(0,X0) ),
inference(superposition,[],[f34,f5]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f34,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f12,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f46,plain,
( ( 1 = sK0 )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f44]) ).
tff(f44,plain,
( spl2_1
<=> ( 1 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
tff(f140,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f139]) ).
tff(f139,plain,
( $false
| ~ spl2_2 ),
inference(global_subsumption,[],[f11,f10,f6,f4,f18,f8,f5,f13,f7,f20,f19,f3,f12,f33,f35,f32,f40,f42,f14,f55,f39,f37,f68,f57,f70,f34,f76,f77,f78,f88,f86,f93,f54,f99,f100,f101,f107,f110,f9,f113,f114,f115,f116,f117,f118,f120,f121,f119,f134,f124,f131,f129,f128,f136,f138,f49]) ).
tff(f49,plain,
( $less(1,sK1)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f48]) ).
tff(f48,plain,
( spl2_2
<=> $less(1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
tff(f138,plain,
~ $less(1,sK1),
inference(evaluation,[],[f137]) ).
tff(f137,plain,
( ( 2 = 1 )
| ~ $less(1,sK1) ),
inference(forward_demodulation,[],[f64,f93]) ).
tff(f64,plain,
( ~ $less(1,sK1)
| ( 1 = sK0 ) ),
inference(evaluation,[],[f59]) ).
tff(f59,plain,
( ~ $less($sum(1,0),sK1)
| ( sK0 = $sum(1,0) ) ),
inference(resolution,[],[f39,f19]) ).
tff(f136,plain,
~ $less(1,sK1),
inference(evaluation,[],[f135]) ).
tff(f135,plain,
( ( 2 = 1 )
| ~ $less(1,sK1) ),
inference(forward_demodulation,[],[f89,f93]) ).
tff(f89,plain,
( ~ $less(1,sK1)
| ( 1 = sK0 ) ),
inference(evaluation,[],[f84]) ).
tff(f84,plain,
( $less(0,0)
| ~ $less(1,sK1)
| ( 1 = sK0 ) ),
inference(resolution,[],[f78,f19]) ).
tff(f128,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,2)
| ~ $less(X1,X0)
| $less(X1,sK1) ),
inference(resolution,[],[f119,f9]) ).
tff(f129,plain,
~ $less(sK1,0),
inference(evaluation,[],[f127]) ).
tff(f127,plain,
( ~ $less(-1,2)
| ~ $less(sK1,0) ),
inference(resolution,[],[f119,f57]) ).
tff(f131,plain,
~ $less(sK1,1),
inference(evaluation,[],[f125]) ).
tff(f125,plain,
( ~ $less(0,2)
| ~ $less(sK1,1) ),
inference(resolution,[],[f119,f101]) ).
tff(f124,plain,
~ $less(sK1,2),
inference(resolution,[],[f119,f8]) ).
tff(f134,plain,
! [X0: $int] :
( ( 2 = X0 )
| ~ $less(X0,2)
| $less(X0,1) ),
inference(forward_demodulation,[],[f123,f93]) ).
tff(f123,plain,
! [X0: $int] :
( ~ $less(X0,2)
| $less(X0,1)
| ( sK0 = X0 ) ),
inference(resolution,[],[f119,f86]) ).
tff(f119,plain,
! [X0: $int] :
( $less(X0,sK1)
| ~ $less(X0,2) ),
inference(resolution,[],[f9,f18]) ).
tff(f121,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,-1)
| $less(X0,X1)
| $less(X1,0) ),
inference(resolution,[],[f9,f37]) ).
tff(f120,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,0)
| $less(X0,X1)
| $less(X1,1) ),
inference(resolution,[],[f9,f78]) ).
tff(f118,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,1)
| $less(0,X1) ),
inference(resolution,[],[f9,f78]) ).
tff(f117,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,0)
| $less(-1,X1) ),
inference(resolution,[],[f9,f37]) ).
tff(f116,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(1,X2))
| $less(X2,X1) ),
inference(resolution,[],[f9,f34]) ).
tff(f115,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(1,X1)) ),
inference(resolution,[],[f9,f39]) ).
tff(f114,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,1)) ),
inference(resolution,[],[f9,f32]) ).
tff(f113,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X2,1))
| $less(X2,X1) ),
inference(resolution,[],[f9,f12]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f110,plain,
! [X0: $int] :
( ~ $less($sum(1,X0),1)
| $less(X0,0) ),
inference(resolution,[],[f101,f34]) ).
tff(f107,plain,
! [X0: $int] :
( ~ $less($sum(X0,1),1)
| $less(X0,0) ),
inference(resolution,[],[f101,f12]) ).
tff(f101,plain,
! [X0: $int] :
( ~ $less(0,X0)
| ~ $less(X0,1) ),
inference(superposition,[],[f54,f5]) ).
tff(f100,plain,
! [X0: $int] :
( ~ $less(X0,-1)
| $less($sum(1,X0),0) ),
inference(resolution,[],[f54,f37]) ).
tff(f99,plain,
! [X0: $int] :
( ~ $less(X0,0)
| $less($sum(1,X0),1) ),
inference(resolution,[],[f54,f78]) ).
tff(f54,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ),
inference(superposition,[],[f14,f3]) ).
tff(f88,plain,
! [X0: $int] :
( $less($sum(X0,1),1)
| ~ $less(X0,0) ),
inference(resolution,[],[f78,f14]) ).
tff(f77,plain,
! [X0: $int] :
( $less(X0,-1)
| ~ $less($sum(1,X0),0) ),
inference(resolution,[],[f34,f57]) ).
tff(f76,plain,
! [X0: $int] :
( $less(X0,0)
| ~ $less($sum(1,X0),sK1)
| ( sK0 = $sum(1,X0) ) ),
inference(resolution,[],[f34,f19]) ).
tff(f70,plain,
! [X0: $int] :
( ~ $less($sum(X0,1),0)
| $less(X0,-1) ),
inference(resolution,[],[f57,f12]) ).
tff(f57,plain,
! [X0: $int] :
( ~ $less(-1,X0)
| ~ $less(X0,0) ),
inference(evaluation,[],[f56]) ).
tff(f56,plain,
! [X0: $int] :
( ~ $less(X0,0)
| ~ $less($uminus(1),X0) ),
inference(superposition,[],[f14,f20]) ).
tff(f68,plain,
! [X0: $int] :
( $less($sum(X0,1),0)
| ~ $less(X0,-1) ),
inference(resolution,[],[f37,f14]) ).
tff(f37,plain,
! [X0: $int] :
( $less(X0,0)
| $less(-1,X0) ),
inference(evaluation,[],[f36]) ).
tff(f36,plain,
! [X0: $int] :
( $less(X0,0)
| $less($uminus(1),X0) ),
inference(superposition,[],[f12,f20]) ).
tff(f39,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f32,f3]) ).
tff(f55,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ),
inference(superposition,[],[f14,f3]) ).
tff(f14,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
tff(f42,plain,
( ~ $less(1,sK1)
| ( 1 = sK0 ) ),
inference(evaluation,[],[f38]) ).
tff(f38,plain,
( ~ $less($sum(0,1),sK1)
| ( sK0 = $sum(0,1) ) ),
inference(resolution,[],[f32,f19]) ).
tff(f40,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f32,f3]) ).
tff(f32,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f12,f8]) ).
tff(f35,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f12,f3]) ).
tff(f33,plain,
! [X0: $int] :
( $less(X0,0)
| ~ $less($sum(X0,1),sK1)
| ( $sum(X0,1) = sK0 ) ),
inference(resolution,[],[f12,f19]) ).
tff(f20,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f7,f13]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f13,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f6,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_139,[]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_145,[]) ).
tff(f133,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f132]) ).
tff(f132,plain,
( $false
| spl2_2 ),
inference(evaluation,[],[f122]) ).
tff(f122,plain,
( ~ $less(1,2)
| spl2_2 ),
inference(resolution,[],[f119,f50]) ).
tff(f50,plain,
( ~ $less(1,sK1)
| spl2_2 ),
inference(avatar_component_clause,[],[f48]) ).
tff(f51,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f42,f48,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ARI592_1 : TPTP v8.1.2. Released v5.1.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 21:43:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (30769)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (30772)WARNING: value z3 for option sas not known
% 0.21/0.38 % (30770)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (30770)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.38 % (30770)Terminated due to inappropriate strategy.
% 0.21/0.38 % (30770)------------------------------
% 0.21/0.38 % (30770)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (30770)Termination reason: Inappropriate
% 0.21/0.38
% 0.21/0.38 % (30770)Memory used [KB]: 723
% 0.21/0.38 % (30770)Time elapsed: 0.002 s
% 0.21/0.38 % (30770)Instructions burned: 2 (million)
% 0.21/0.38 % (30770)------------------------------
% 0.21/0.38 % (30770)------------------------------
% 0.21/0.38 % (30771)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 % (30773)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (30772)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 % (30774)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 % (30776)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 % (30771)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.38 % (30771)Terminated due to inappropriate strategy.
% 0.21/0.38 % (30771)------------------------------
% 0.21/0.38 % (30771)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (30771)Termination reason: Inappropriate
% 0.21/0.38
% 0.21/0.38 % (30771)Memory used [KB]: 723
% 0.21/0.38 % (30771)Time elapsed: 0.002 s
% 0.21/0.38 % (30771)Instructions burned: 2 (million)
% 0.21/0.38 % (30773)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.38 % (30773)Terminated due to inappropriate strategy.
% 0.21/0.38 % (30773)------------------------------
% 0.21/0.38 % (30773)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (30773)Termination reason: Inappropriate
% 0.21/0.38
% 0.21/0.38 % (30773)Memory used [KB]: 723
% 0.21/0.38 % (30773)Time elapsed: 0.002 s
% 0.21/0.38 % (30773)Instructions burned: 2 (million)
% 0.21/0.38 % (30771)------------------------------
% 0.21/0.38 % (30771)------------------------------
% 0.21/0.38 % (30773)------------------------------
% 0.21/0.38 % (30773)------------------------------
% 0.21/0.38 % (30775)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)
% 0.21/0.39 % (30772)First to succeed.
% 0.21/0.39 % (30772)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30769"
% 0.21/0.39 % (30772)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Theorem for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39 % (30772)------------------------------
% 0.21/0.39 % (30772)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.39 % (30772)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (30772)Memory used [KB]: 851
% 0.21/0.39 % (30772)Time elapsed: 0.009 s
% 0.21/0.39 % (30772)Instructions burned: 8 (million)
% 0.21/0.39 % (30769)Success in time 0.022 s
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