TSTP Solution File: DAT010_1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT010_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n006.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 : Wed Aug 31 16:03:53 EDT 2022
% Result : Theorem 1.96s 0.61s
% Output : Refutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 57 ( 14 unt; 6 typ; 0 def)
% Number of atoms : 109 ( 57 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 90 ( 32 ~; 37 |; 14 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 227 ( 27 atm; 0 fun; 158 num; 42 var)
% Number of types : 2 ( 1 usr; 1 ari)
% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)
% Number of predicates : 6 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 13 ( 5 usr; 11 con; 0-3 aty)
% Number of variables : 62 ( 48 !; 14 ?; 62 :)
% 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_14,type,
sK0: array ).
tff(func_def_15,type,
sK1: array ).
tff(func_def_16,type,
sK2: $int ).
tff(f470,plain,
$false,
inference(avatar_sat_refutation,[],[f264,f369,f427,f469]) ).
tff(f469,plain,
~ spl3_8,
inference(avatar_contradiction_clause,[],[f468]) ).
tff(f468,plain,
( $false
| ~ spl3_8 ),
inference(evaluation,[],[f466]) ).
tff(f466,plain,
( ~ $less(33,100)
| ~ spl3_8 ),
inference(superposition,[],[f428,f129]) ).
tff(f129,plain,
33 = read(sK1,3),
inference(evaluation,[],[f127]) ).
tff(f127,plain,
( ( 3 = 5 )
| ( 33 = read(sK1,3) )
| ( 3 = 4 ) ),
inference(superposition,[],[f27,f123]) ).
tff(f123,plain,
! [X0: $int] :
( ( read(write(sK0,3,33),X0) = read(sK1,X0) )
| ( 5 = X0 )
| ( 4 = X0 ) ),
inference(duplicate_literal_removal,[],[f120]) ).
tff(f120,plain,
! [X0: $int] :
( ( read(write(sK0,3,33),X0) = read(sK1,X0) )
| ( 5 = X0 )
| ( 4 = X0 )
| ( 4 = X0 ) ),
inference(superposition,[],[f28,f89]) ).
tff(f89,plain,
! [X1: $int] :
( ( read(write(write(sK0,3,33),4,444),X1) = read(sK1,X1) )
| ( 4 = X1 )
| ( 5 = X1 ) ),
inference(superposition,[],[f36,f28]) ).
tff(f36,plain,
! [X0: $int] :
( ( read(sK1,X0) = read(write(write(write(sK0,3,33),4,444),5,55),X0) )
| ( 4 = X0 ) ),
inference(superposition,[],[f28,f29]) ).
tff(f29,plain,
sK1 = write(write(write(write(sK0,3,33),4,444),5,55),4,44),
inference(cnf_transformation,[],[f26]) ).
tff(f26,plain,
( ~ $less(read(sK1,sK2),100)
& ! [X3: $int] : $less(read(sK0,X3),100)
& ( sK1 = write(write(write(write(sK0,3,33),4,444),5,55),4,44) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f23,f25,f24]) ).
tff(f24,plain,
( ? [X0: array,X1: array] :
( ? [X2: $int] : ~ $less(read(X1,X2),100)
& ! [X3: $int] : $less(read(X0,X3),100)
& ( write(write(write(write(X0,3,33),4,444),5,55),4,44) = X1 ) )
=> ( ? [X2: $int] : ~ $less(read(sK1,X2),100)
& ! [X3: $int] : $less(read(sK0,X3),100)
& ( sK1 = write(write(write(write(sK0,3,33),4,444),5,55),4,44) ) ) ),
introduced(choice_axiom,[]) ).
tff(f25,plain,
( ? [X2: $int] : ~ $less(read(sK1,X2),100)
=> ~ $less(read(sK1,sK2),100) ),
introduced(choice_axiom,[]) ).
tff(f23,plain,
? [X0: array,X1: array] :
( ? [X2: $int] : ~ $less(read(X1,X2),100)
& ! [X3: $int] : $less(read(X0,X3),100)
& ( write(write(write(write(X0,3,33),4,444),5,55),4,44) = X1 ) ),
inference(rectify,[],[f20]) ).
tff(f20,plain,
? [X1: array,X0: array] :
( ? [X3: $int] : ~ $less(read(X0,X3),100)
& ! [X2: $int] : $less(read(X1,X2),100)
& ( write(write(write(write(X1,3,33),4,444),5,55),4,44) = X0 ) ),
inference(flattening,[],[f19]) ).
tff(f19,plain,
? [X1: array,X0: array] :
( ? [X3: $int] : ~ $less(read(X0,X3),100)
& ( write(write(write(write(X1,3,33),4,444),5,55),4,44) = X0 )
& ! [X2: $int] : $less(read(X1,X2),100) ),
inference(ennf_transformation,[],[f4]) ).
tff(f4,negated_conjecture,
~ ! [X1: array,X0: array] :
( ( ( write(write(write(write(X1,3,33),4,444),5,55),4,44) = X0 )
& ! [X2: $int] : $less(read(X1,X2),100) )
=> ! [X3: $int] : $less(read(X0,X3),100) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
! [X1: array,X0: array] :
( ( ( write(write(write(write(X1,3,33),4,444),5,55),4,44) = X0 )
& ! [X2: $int] : $less(read(X1,X2),100) )
=> ! [X3: $int] : $less(read(X0,X3),100) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f28,plain,
! [X2: $int,X3: array,X0: $int,X1: $int] :
( ( read(write(X3,X2,X0),X1) = read(X3,X1) )
| ( X1 = X2 ) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: $int,X1: $int,X2: $int,X3: array] :
( ( X1 = X2 )
| ( read(write(X3,X2,X0),X1) = read(X3,X1) ) ),
inference(rectify,[],[f18]) ).
tff(f18,plain,
! [X3: $int,X0: $int,X2: $int,X1: array] :
( ( X0 = X2 )
| ( read(write(X1,X2,X3),X0) = read(X1,X0) ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X5: $int,X3: array,X4: $int,X6: $int] :
( ( read(write(X3,X4,X6),X5) = read(X3,X5) )
| ( X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
tff(f27,plain,
! [X2: $int,X0: array,X1: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
! [X0: array,X1: $int,X2: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
! [X0: array,X2: $int,X1: $int] : ( read(write(X0,X2,X1),X2) = X1 ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
! [X0: array,X2: $int,X1: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(f428,plain,
( ~ $less(read(sK1,3),100)
| ~ spl3_8 ),
inference(superposition,[],[f31,f259]) ).
tff(f259,plain,
( ( 3 = sK2 )
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f257]) ).
tff(f257,plain,
( spl3_8
<=> ( 3 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
tff(f31,plain,
~ $less(read(sK1,sK2),100),
inference(cnf_transformation,[],[f26]) ).
tff(f427,plain,
~ spl3_9,
inference(avatar_contradiction_clause,[],[f426]) ).
tff(f426,plain,
( $false
| ~ spl3_9 ),
inference(evaluation,[],[f424]) ).
tff(f424,plain,
( ~ $less(44,100)
| ~ spl3_9 ),
inference(superposition,[],[f414,f35]) ).
tff(f35,plain,
44 = read(sK1,4),
inference(superposition,[],[f27,f29]) ).
tff(f414,plain,
( ~ $less(read(sK1,4),100)
| ~ spl3_9 ),
inference(superposition,[],[f31,f263]) ).
tff(f263,plain,
( ( 4 = sK2 )
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f261]) ).
tff(f261,plain,
( spl3_9
<=> ( 4 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
tff(f369,plain,
~ spl3_7,
inference(avatar_contradiction_clause,[],[f368]) ).
tff(f368,plain,
( $false
| ~ spl3_7 ),
inference(evaluation,[],[f366]) ).
tff(f366,plain,
( ~ $less(55,100)
| ~ spl3_7 ),
inference(superposition,[],[f317,f94]) ).
tff(f94,plain,
55 = read(sK1,5),
inference(evaluation,[],[f90]) ).
tff(f90,plain,
( ( 4 = 5 )
| ( 55 = read(sK1,5) ) ),
inference(superposition,[],[f36,f27]) ).
tff(f317,plain,
( ~ $less(read(sK1,5),100)
| ~ spl3_7 ),
inference(superposition,[],[f31,f255]) ).
tff(f255,plain,
( ( 5 = sK2 )
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f253]) ).
tff(f253,plain,
( spl3_7
<=> ( 5 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
tff(f264,plain,
( spl3_7
| spl3_8
| spl3_9 ),
inference(avatar_split_clause,[],[f146,f261,f257,f253]) ).
tff(f146,plain,
( ( 4 = sK2 )
| ( 3 = sK2 )
| ( 5 = sK2 ) ),
inference(subsumption_resolution,[],[f145,f30]) ).
tff(f30,plain,
! [X3: $int] : $less(read(sK0,X3),100),
inference(cnf_transformation,[],[f26]) ).
tff(f145,plain,
( ~ $less(read(sK0,sK2),100)
| ( 5 = sK2 )
| ( 4 = sK2 )
| ( 3 = sK2 ) ),
inference(superposition,[],[f31,f126]) ).
tff(f126,plain,
! [X0: $int] :
( ( read(sK1,X0) = read(sK0,X0) )
| ( 4 = X0 )
| ( 5 = X0 )
| ( 3 = X0 ) ),
inference(superposition,[],[f28,f123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : DAT010=1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 20:14:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.55 % (31284)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55 % (31275)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.19/0.56 % (31292)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.19/0.56 % (31276)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.19/0.56 % (31291)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.56 % (31283)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.57 % (31284)Instruction limit reached!
% 0.19/0.57 % (31284)------------------------------
% 0.19/0.57 % (31284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (31283)Instruction limit reached!
% 0.19/0.57 % (31283)------------------------------
% 0.19/0.57 % (31283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (31283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (31283)Termination reason: Unknown
% 0.19/0.57 % (31283)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (31283)Memory used [KB]: 5500
% 0.19/0.57 % (31283)Time elapsed: 0.005 s
% 0.19/0.57 % (31283)Instructions burned: 2 (million)
% 0.19/0.57 % (31283)------------------------------
% 0.19/0.57 % (31283)------------------------------
% 0.19/0.58 % (31284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (31284)Termination reason: Unknown
% 0.19/0.58 % (31284)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (31284)Memory used [KB]: 5500
% 0.19/0.58 % (31284)Time elapsed: 0.146 s
% 0.19/0.58 % (31284)Instructions burned: 2 (million)
% 0.19/0.58 % (31284)------------------------------
% 0.19/0.58 % (31284)------------------------------
% 0.19/0.60 % (31276)Instruction limit reached!
% 0.19/0.60 % (31276)------------------------------
% 0.19/0.60 % (31276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (31276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (31276)Termination reason: Unknown
% 1.96/0.60 % (31276)Termination phase: Saturation
% 1.96/0.60
% 1.96/0.60 % (31276)Memory used [KB]: 5756
% 1.96/0.60 % (31272)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.96/0.60 % (31276)Time elapsed: 0.184 s
% 1.96/0.60 % (31276)Instructions burned: 26 (million)
% 1.96/0.60 % (31276)------------------------------
% 1.96/0.60 % (31276)------------------------------
% 1.96/0.61 % (31273)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.96/0.61 % (31293)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.96/0.61 % (31275)First to succeed.
% 1.96/0.61 % (31296)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.96/0.61 % (31290)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.96/0.61 % (31294)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.96/0.61 % (31275)Refutation found. Thanks to Tanya!
% 1.96/0.61 % SZS status Theorem for theBenchmark
% 1.96/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.96/0.61 % (31275)------------------------------
% 1.96/0.61 % (31275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.61 % (31275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.61 % (31275)Termination reason: Refutation
% 1.96/0.61
% 1.96/0.61 % (31275)Memory used [KB]: 5756
% 1.96/0.61 % (31275)Time elapsed: 0.173 s
% 1.96/0.61 % (31275)Instructions burned: 27 (million)
% 1.96/0.61 % (31275)------------------------------
% 1.96/0.61 % (31275)------------------------------
% 1.96/0.61 % (31267)Success in time 0.258 s
%------------------------------------------------------------------------------