TSTP Solution File: DAT006_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT006_1 : TPTP v8.1.2. 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 : Sun May 5 05:05:25 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 19
% Syntax : Number of formulae : 58 ( 9 unt; 5 typ; 0 def)
% Number of atoms : 139 ( 73 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 139 ( 53 ~; 69 |; 4 &)
% ( 10 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 205 ( 0 atm; 0 fun; 163 num; 42 var)
% Number of types : 2 ( 1 usr; 1 ari)
% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 11 prp; 0-2 aty)
% Number of functors : 11 ( 4 usr; 9 con; 0-3 aty)
% Number of variables : 59 ( 53 !; 6 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
array: $tType ).
tff(func_def_0,type,
read: ( array * $int ) > $int ).
tff(func_def_1,type,
write: ( array * $int * $int ) > array ).
tff(func_def_9,type,
sK0: array ).
tff(func_def_10,type,
sK1: array ).
tff(f84,plain,
$false,
inference(avatar_sat_refutation,[],[f16,f21,f25,f30,f38,f43,f54,f59,f69,f80,f83]) ).
tff(f83,plain,
( ~ spl2_1
| ~ spl2_10 ),
inference(avatar_contradiction_clause,[],[f82]) ).
tff(f82,plain,
( $false
| ~ spl2_1
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f81]) ).
tff(f81,plain,
( ( 33 != 33 )
| ~ spl2_1
| ~ spl2_10 ),
inference(superposition,[],[f15,f79]) ).
tff(f79,plain,
( ( 33 = read(sK0,3) )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f77]) ).
tff(f77,plain,
( spl2_10
<=> ( 33 = read(sK0,3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
tff(f15,plain,
( ! [X2: $int] : ( 33 != read(sK0,X2) )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f14]) ).
tff(f14,plain,
( spl2_1
<=> ! [X2: $int] : ( 33 != read(sK0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
tff(f80,plain,
( spl2_10
| ~ spl2_3
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f75,f67,f23,f77]) ).
tff(f23,plain,
( spl2_3
<=> ! [X2: $int,X0: array,X1: $int] : ( read(write(X0,X1,X2),X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
tff(f67,plain,
( spl2_9
<=> ! [X0: $int] :
( ( read(sK0,X0) = read(write(sK1,3,33),X0) )
| ( 4 = X0 )
| ( 5 = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
tff(f75,plain,
( ( 33 = read(sK0,3) )
| ~ spl2_3
| ~ spl2_9 ),
inference(evaluation,[],[f70]) ).
tff(f70,plain,
( ( 33 = read(sK0,3) )
| ( 3 = 4 )
| ( 3 = 5 )
| ~ spl2_3
| ~ spl2_9 ),
inference(superposition,[],[f68,f24]) ).
tff(f24,plain,
( ! [X2: $int,X0: array,X1: $int] : ( read(write(X0,X1,X2),X1) = X2 )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f23]) ).
tff(f68,plain,
( ! [X0: $int] :
( ( read(sK0,X0) = read(write(sK1,3,33),X0) )
| ( 4 = X0 )
| ( 5 = X0 ) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f67]) ).
tff(f69,plain,
( spl2_9
| ~ spl2_4
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f65,f57,f28,f67]) ).
tff(f28,plain,
( spl2_4
<=> ! [X0: array,X3: $int,X2: $int,X1: $int] :
( ( read(X0,X2) = read(write(X0,X1,X3),X2) )
| ( X1 = X2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
tff(f57,plain,
( spl2_8
<=> ! [X0: $int] :
( ( read(sK0,X0) = read(write(write(sK1,3,33),4,444),X0) )
| ( 4 = X0 )
| ( 5 = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
tff(f65,plain,
( ! [X0: $int] :
( ( read(sK0,X0) = read(write(sK1,3,33),X0) )
| ( 4 = X0 )
| ( 5 = X0 ) )
| ~ spl2_4
| ~ spl2_8 ),
inference(duplicate_literal_removal,[],[f61]) ).
tff(f61,plain,
( ! [X0: $int] :
( ( read(sK0,X0) = read(write(sK1,3,33),X0) )
| ( 4 = X0 )
| ( 5 = X0 )
| ( 4 = X0 ) )
| ~ spl2_4
| ~ spl2_8 ),
inference(superposition,[],[f58,f29]) ).
tff(f29,plain,
( ! [X2: $int,X3: $int,X0: array,X1: $int] :
( ( read(X0,X2) = read(write(X0,X1,X3),X2) )
| ( X1 = X2 ) )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f28]) ).
tff(f58,plain,
( ! [X0: $int] :
( ( read(sK0,X0) = read(write(write(sK1,3,33),4,444),X0) )
| ( 4 = X0 )
| ( 5 = X0 ) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f57]) ).
tff(f59,plain,
( spl2_8
| ~ spl2_4
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f45,f41,f28,f57]) ).
tff(f41,plain,
( spl2_6
<=> ! [X0: $int] :
( ( read(sK0,X0) = read(write(write(write(sK1,3,33),4,444),5,55),X0) )
| ( 4 = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
tff(f45,plain,
( ! [X0: $int] :
( ( read(sK0,X0) = read(write(write(sK1,3,33),4,444),X0) )
| ( 4 = X0 )
| ( 5 = X0 ) )
| ~ spl2_4
| ~ spl2_6 ),
inference(superposition,[],[f42,f29]) ).
tff(f42,plain,
( ! [X0: $int] :
( ( read(sK0,X0) = read(write(write(write(sK1,3,33),4,444),5,55),X0) )
| ( 4 = X0 ) )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f41]) ).
tff(f54,plain,
( spl2_7
| ~ spl2_3
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f49,f41,f23,f51]) ).
tff(f51,plain,
( spl2_7
<=> ( 55 = read(sK0,5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
tff(f49,plain,
( ( 55 = read(sK0,5) )
| ~ spl2_3
| ~ spl2_6 ),
inference(evaluation,[],[f44]) ).
tff(f44,plain,
( ( 55 = read(sK0,5) )
| ( 4 = 5 )
| ~ spl2_3
| ~ spl2_6 ),
inference(superposition,[],[f42,f24]) ).
tff(f43,plain,
( spl2_6
| ~ spl2_2
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f31,f28,f18,f41]) ).
tff(f18,plain,
( spl2_2
<=> ( sK0 = write(write(write(write(sK1,3,33),4,444),5,55),4,44) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
tff(f31,plain,
( ! [X0: $int] :
( ( read(sK0,X0) = read(write(write(write(sK1,3,33),4,444),5,55),X0) )
| ( 4 = X0 ) )
| ~ spl2_2
| ~ spl2_4 ),
inference(superposition,[],[f29,f20]) ).
tff(f20,plain,
( ( sK0 = write(write(write(write(sK1,3,33),4,444),5,55),4,44) )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f18]) ).
tff(f38,plain,
( spl2_5
| ~ spl2_2
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f26,f23,f18,f35]) ).
tff(f35,plain,
( spl2_5
<=> ( 44 = read(sK0,4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
tff(f26,plain,
( ( 44 = read(sK0,4) )
| ~ spl2_2
| ~ spl2_3 ),
inference(superposition,[],[f24,f20]) ).
tff(f30,plain,
spl2_4,
inference(avatar_split_clause,[],[f12,f28]) ).
tff(f12,plain,
! [X2: $int,X3: $int,X0: array,X1: $int] :
( ( read(X0,X2) = read(write(X0,X1,X3),X2) )
| ( X1 = X2 ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f5,plain,
! [X0: array,X1: $int,X2: $int,X3: $int] :
( ( read(X0,X2) = read(write(X0,X1,X3),X2) )
| ( X1 = X2 ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X3: array,X4: $int,X5: $int,X6: $int] :
( ( read(write(X3,X4,X6),X5) = read(X3,X5) )
| ( X4 = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f25,plain,
spl2_3,
inference(avatar_split_clause,[],[f11,f23]) ).
tff(f11,plain,
! [X2: $int,X0: array,X1: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: array,X1: $int,X2: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(f21,plain,
spl2_2,
inference(avatar_split_clause,[],[f9,f18]) ).
tff(f9,plain,
sK0 = write(write(write(write(sK1,3,33),4,444),5,55),4,44),
inference(cnf_transformation,[],[f8]) ).
tff(f8,plain,
( ! [X2: $int] : ( 33 != read(sK0,X2) )
& ( sK0 = write(write(write(write(sK1,3,33),4,444),5,55),4,44) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f7]) ).
tff(f7,plain,
( ? [X0: array,X1: array] :
( ! [X2: $int] : ( 33 != read(X0,X2) )
& ( write(write(write(write(X1,3,33),4,444),5,55),4,44) = X0 ) )
=> ( ! [X2: $int] : ( 33 != read(sK0,X2) )
& ( sK0 = write(write(write(write(sK1,3,33),4,444),5,55),4,44) ) ) ),
introduced(choice_axiom,[]) ).
tff(f6,plain,
? [X0: array,X1: array] :
( ! [X2: $int] : ( 33 != read(X0,X2) )
& ( write(write(write(write(X1,3,33),4,444),5,55),4,44) = X0 ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f4,negated_conjecture,
~ ! [X0: array,X1: array] :
( ( write(write(write(write(X1,3,33),4,444),5,55),4,44) = X0 )
=> ? [X2: $int] : ( 33 = read(X0,X2) ) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
! [X0: array,X1: array] :
( ( write(write(write(write(X1,3,33),4,444),5,55),4,44) = X0 )
=> ? [X2: $int] : ( 33 = read(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f16,plain,
spl2_1,
inference(avatar_split_clause,[],[f10,f14]) ).
tff(f10,plain,
! [X2: $int] : ( 33 != read(sK0,X2) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : DAT006_1 : TPTP v8.1.2. Released v5.0.0.
% 0.11/0.13 % 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 : Fri May 3 13:20:07 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (26326)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (26329)WARNING: value z3 for option sas not known
% 0.13/0.36 % (26331)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)
% 0.13/0.36 % (26330)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 % (26328)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (26333)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 % (26332)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 % (26329)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 % (26330)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (26330)Terminated due to inappropriate strategy.
% 0.13/0.37 % (26330)------------------------------
% 0.13/0.37 % (26330)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (26328)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (26328)Terminated due to inappropriate strategy.
% 0.13/0.37 % (26328)------------------------------
% 0.13/0.37 % (26328)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (26328)Termination reason: Inappropriate
% 0.13/0.37
% 0.13/0.37 % (26328)Memory used [KB]: 739
% 0.13/0.37 % (26328)Time elapsed: 0.002 s
% 0.13/0.37 % (26328)Instructions burned: 2 (million)
% 0.13/0.37 % (26330)Termination reason: Inappropriate
% 0.13/0.37
% 0.13/0.37 % (26330)Memory used [KB]: 739
% 0.13/0.37 % (26330)Time elapsed: 0.002 s
% 0.13/0.37 % (26330)Instructions burned: 2 (million)
% 0.13/0.37 % (26328)------------------------------
% 0.13/0.37 % (26328)------------------------------
% 0.13/0.37 % (26330)------------------------------
% 0.13/0.37 % (26330)------------------------------
% 0.13/0.37 % (26331)First to succeed.
% 0.13/0.37 % (26332)Also succeeded, but the first one will report.
% 0.13/0.37 % (26333)Also succeeded, but the first one will report.
% 0.13/0.37 % (26329)Also succeeded, but the first one will report.
% 0.13/0.37 % (26331)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26326"
% 0.13/0.37 % (26331)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 % (26331)------------------------------
% 0.13/0.37 % (26331)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (26331)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (26331)Memory used [KB]: 800
% 0.13/0.37 % (26331)Time elapsed: 0.005 s
% 0.13/0.37 % (26331)Instructions burned: 6 (million)
% 0.13/0.37 % (26326)Success in time 0.018 s
%------------------------------------------------------------------------------