TSTP Solution File: DAT017_1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT017_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 : n014.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 16:03:54 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 60 ( 15 unt; 8 typ; 0 def)
% Number of atoms : 107 ( 75 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 91 ( 36 ~; 32 |; 15 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number arithmetic : 143 ( 0 atm; 31 fun; 52 num; 60 var)
% Number of types : 2 ( 1 usr; 1 ari)
% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 7 usr; 7 con; 0-3 aty)
% Number of variables : 81 ( 58 !; 23 ?; 81 :)
% 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_6,type,
sK0: $int ).
tff(func_def_7,type,
sK1: $int ).
tff(func_def_8,type,
sK2: $int ).
tff(func_def_9,type,
sK3: array ).
tff(func_def_10,type,
sK4: array ).
tff(f103,plain,
$false,
inference(avatar_sat_refutation,[],[f51,f68,f80,f90,f102]) ).
tff(f102,plain,
( spl5_4
| ~ spl5_1
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f97,f59,f43,f63]) ).
tff(f63,plain,
( spl5_4
<=> ( sK0 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
tff(f43,plain,
( spl5_1
<=> ( sK1 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
tff(f59,plain,
( spl5_3
<=> ( sK0 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
tff(f97,plain,
( ( sK0 = sK1 )
| ~ spl5_1
| ~ spl5_3 ),
inference(superposition,[],[f61,f45]) ).
tff(f45,plain,
( ( sK1 = sK2 )
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f43]) ).
tff(f61,plain,
( ( sK0 = sK2 )
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f59]) ).
tff(f90,plain,
~ spl5_4,
inference(avatar_contradiction_clause,[],[f89]) ).
tff(f89,plain,
( $false
| ~ spl5_4 ),
inference(subsumption_resolution,[],[f82,f37]) ).
tff(f37,plain,
0 != read(sK3,sK0),
inference(superposition,[],[f29,f35]) ).
tff(f35,plain,
0 = read(sK3,sK1),
inference(superposition,[],[f32,f27]) ).
tff(f27,plain,
! [X5: $int] : ( read(sK4,X5) = read(sK3,X5) ),
inference(cnf_transformation,[],[f25]) ).
tff(f25,plain,
( ( read(sK3,sK0) != read(sK3,sK1) )
& ( sK4 = write(write(write(sK3,sK0,0),sK2,$sum(read(sK3,sK2),1)),sK1,0) )
& ! [X5: $int] : ( read(sK4,X5) = read(sK3,X5) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f23,f24]) ).
tff(f24,plain,
( ? [X0: $int,X1: $int,X2: $int,X3: array,X4: array] :
( ( read(X3,X0) != read(X3,X1) )
& ( write(write(write(X3,X0,0),X2,$sum(read(X3,X2),1)),X1,0) = X4 )
& ! [X5: $int] : ( read(X3,X5) = read(X4,X5) ) )
=> ( ( read(sK3,sK0) != read(sK3,sK1) )
& ( sK4 = write(write(write(sK3,sK0,0),sK2,$sum(read(sK3,sK2),1)),sK1,0) )
& ! [X5: $int] : ( read(sK4,X5) = read(sK3,X5) ) ) ),
introduced(choice_axiom,[]) ).
tff(f23,plain,
? [X0: $int,X1: $int,X2: $int,X3: array,X4: array] :
( ( read(X3,X0) != read(X3,X1) )
& ( write(write(write(X3,X0,0),X2,$sum(read(X3,X2),1)),X1,0) = X4 )
& ! [X5: $int] : ( read(X3,X5) = read(X4,X5) ) ),
inference(rectify,[],[f21]) ).
tff(f21,plain,
? [X0: $int,X4: $int,X2: $int,X1: array,X3: array] :
( ( read(X1,X4) != read(X1,X0) )
& ( write(write(write(X1,X0,0),X2,$sum(read(X1,X2),1)),X4,0) = X3 )
& ! [X5: $int] : ( read(X3,X5) = read(X1,X5) ) ),
inference(flattening,[],[f20]) ).
tff(f20,plain,
? [X4: $int,X3: array,X2: $int,X0: $int,X1: array] :
( ! [X5: $int] : ( read(X3,X5) = read(X1,X5) )
& ( read(X1,X4) != read(X1,X0) )
& ( write(write(write(X1,X0,0),X2,$sum(read(X1,X2),1)),X4,0) = X3 ) ),
inference(ennf_transformation,[],[f17]) ).
tff(f17,plain,
~ ! [X4: $int,X3: array,X2: $int,X0: $int,X1: array] :
( ( ( read(X1,X4) != read(X1,X0) )
& ( write(write(write(X1,X0,0),X2,$sum(read(X1,X2),1)),X4,0) = X3 ) )
=> ? [X5: $int] : ( read(X3,X5) != read(X1,X5) ) ),
inference(rectify,[],[f4]) ).
tff(f4,negated_conjecture,
~ ! [X3: $int,X1: array,X4: $int,X0: array,X2: $int] :
( ( ( read(X1,X2) != read(X1,X3) )
& ( write(write(write(X1,X3,0),X4,$sum(read(X1,X4),1)),X2,0) = X0 ) )
=> ? [X5: $int] : ( read(X0,X5) != read(X1,X5) ) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
! [X3: $int,X1: array,X4: $int,X0: array,X2: $int] :
( ( ( read(X1,X2) != read(X1,X3) )
& ( write(write(write(X1,X3,0),X4,$sum(read(X1,X4),1)),X2,0) = X0 ) )
=> ? [X5: $int] : ( read(X0,X5) != read(X1,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f32,plain,
0 = read(sK4,sK1),
inference(superposition,[],[f30,f31]) ).
tff(f31,plain,
sK4 = write(write(write(sK3,sK0,0),sK2,$sum(1,read(sK3,sK2))),sK1,0),
inference(forward_demodulation,[],[f28,f5]) ).
tff(f5,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f28,plain,
sK4 = write(write(write(sK3,sK0,0),sK2,$sum(read(sK3,sK2),1)),sK1,0),
inference(cnf_transformation,[],[f25]) ).
tff(f30,plain,
! [X2: array,X0: $int,X1: $int] : ( read(write(X2,X1,X0),X1) = X0 ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: $int,X1: $int,X2: array] : ( read(write(X2,X1,X0),X1) = X0 ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
! [X2: $int,X1: $int,X0: array] : ( read(write(X0,X1,X2),X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(f29,plain,
read(sK3,sK0) != read(sK3,sK1),
inference(cnf_transformation,[],[f25]) ).
tff(f82,plain,
( ( 0 = read(sK3,sK0) )
| ~ spl5_4 ),
inference(superposition,[],[f35,f65]) ).
tff(f65,plain,
( ( sK0 = sK1 )
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f63]) ).
tff(f80,plain,
( ~ spl5_2
| ~ spl5_3 ),
inference(avatar_contradiction_clause,[],[f79]) ).
tff(f79,plain,
( $false
| ~ spl5_2
| ~ spl5_3 ),
inference(evaluation,[],[f74]) ).
tff(f74,plain,
( ( 0 = $sum(1,0) )
| ~ spl5_2
| ~ spl5_3 ),
inference(superposition,[],[f73,f9]) ).
tff(f9,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f73,plain,
( ! [X1: $int] : ( $sum(1,$sum(read(sK3,sK0),X1)) = $sum(read(sK3,sK0),X1) )
| ~ spl5_2
| ~ spl5_3 ),
inference(forward_demodulation,[],[f54,f61]) ).
tff(f54,plain,
( ! [X1: $int] : ( $sum(1,$sum(read(sK3,sK2),X1)) = $sum(read(sK3,sK2),X1) )
| ~ spl5_2 ),
inference(superposition,[],[f6,f49]) ).
tff(f49,plain,
( ( read(sK3,sK2) = $sum(1,read(sK3,sK2)) )
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f47]) ).
tff(f47,plain,
( spl5_2
<=> ( read(sK3,sK2) = $sum(1,read(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
tff(f6,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
introduced(theory_axiom_141,[]) ).
tff(f68,plain,
( spl5_4
| spl5_3 ),
inference(avatar_split_clause,[],[f67,f59,f63]) ).
tff(f67,plain,
( ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(subsumption_resolution,[],[f56,f37]) ).
tff(f56,plain,
( ( sK0 = sK2 )
| ( sK0 = sK1 )
| ( 0 = read(sK3,sK0) ) ),
inference(superposition,[],[f30,f38]) ).
tff(f38,plain,
! [X1: $int] :
( ( read(sK3,X1) = read(write(sK3,sK0,0),X1) )
| ( sK1 = X1 )
| ( sK2 = X1 ) ),
inference(superposition,[],[f34,f26]) ).
tff(f26,plain,
! [X2: $int,X3: array,X0: $int,X1: $int] :
( ( read(write(X3,X1,X0),X2) = read(X3,X2) )
| ( X1 = X2 ) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: $int,X1: $int,X2: $int,X3: array] :
( ( read(write(X3,X1,X0),X2) = read(X3,X2) )
| ( X1 = X2 ) ),
inference(rectify,[],[f19]) ).
tff(f19,plain,
! [X2: $int,X0: $int,X3: $int,X1: array] :
( ( read(X1,X3) = read(write(X1,X0,X2),X3) )
| ( X0 = X3 ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X4: $int,X3: array,X6: $int,X5: $int] :
( ( read(write(X3,X4,X6),X5) = read(X3,X5) )
| ( X4 = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f34,plain,
! [X0: $int] :
( ( read(sK3,X0) = read(write(write(sK3,sK0,0),sK2,$sum(1,read(sK3,sK2))),X0) )
| ( sK1 = X0 ) ),
inference(forward_demodulation,[],[f33,f27]) ).
tff(f33,plain,
! [X0: $int] :
( ( read(sK4,X0) = read(write(write(sK3,sK0,0),sK2,$sum(1,read(sK3,sK2))),X0) )
| ( sK1 = X0 ) ),
inference(superposition,[],[f26,f31]) ).
tff(f51,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f39,f47,f43]) ).
tff(f39,plain,
( ( read(sK3,sK2) = $sum(1,read(sK3,sK2)) )
| ( sK1 = sK2 ) ),
inference(superposition,[],[f34,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : DAT017=1 : TPTP v8.1.0. Released v5.0.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 20:17:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.50 % (7617)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)
% 0.18/0.50 % (7612)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.18/0.50 % (7614)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.50 % (7616)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)
% 0.18/0.51 % (7622)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.18/0.51 % (7635)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)
% 0.18/0.51 % (7613)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.51 % (7627)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)
% 0.18/0.51 % (7635)First to succeed.
% 0.18/0.51 % (7633)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.51 % (7614)Instruction limit reached!
% 0.18/0.51 % (7614)------------------------------
% 0.18/0.51 % (7614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (7627)Instruction limit reached!
% 0.18/0.51 % (7627)------------------------------
% 0.18/0.51 % (7627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (7627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (7627)Termination reason: Unknown
% 0.18/0.51 % (7627)Termination phase: Property scanning
% 0.18/0.51
% 0.18/0.51 % (7627)Memory used [KB]: 895
% 0.18/0.51 % (7627)Time elapsed: 0.003 s
% 0.18/0.51 % (7627)Instructions burned: 2 (million)
% 0.18/0.51 % (7627)------------------------------
% 0.18/0.51 % (7627)------------------------------
% 0.18/0.52 % (7619)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)
% 0.18/0.52 % (7632)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.52 % (7624)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52 % (7624)Instruction limit reached!
% 0.18/0.52 % (7624)------------------------------
% 0.18/0.52 % (7624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (7624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (7624)Termination reason: Unknown
% 0.18/0.52 % (7624)Termination phase: Preprocessing 1
% 0.18/0.52
% 0.18/0.52 % (7624)Memory used [KB]: 895
% 0.18/0.52 % (7624)Time elapsed: 0.002 s
% 0.18/0.52 % (7624)Instructions burned: 2 (million)
% 0.18/0.52 % (7624)------------------------------
% 0.18/0.52 % (7624)------------------------------
% 0.18/0.52 % (7615)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52 % (7615)Instruction limit reached!
% 0.18/0.52 % (7615)------------------------------
% 0.18/0.52 % (7615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (7615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (7615)Termination reason: Unknown
% 0.18/0.52 % (7615)Termination phase: Property scanning
% 0.18/0.52
% 0.18/0.52 % (7615)Memory used [KB]: 895
% 0.18/0.52 % (7615)Time elapsed: 0.002 s
% 0.18/0.52 % (7615)Instructions burned: 2 (million)
% 0.18/0.52 % (7615)------------------------------
% 0.18/0.52 % (7615)------------------------------
% 0.18/0.52 % (7626)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 % (7641)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=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.18/0.52 % (7628)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52 % (7628)Instruction limit reached!
% 0.18/0.52 % (7628)------------------------------
% 0.18/0.52 % (7628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (7628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (7628)Termination reason: Unknown
% 0.18/0.52 % (7628)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (7628)Memory used [KB]: 5373
% 0.18/0.52 % (7628)Time elapsed: 0.002 s
% 0.18/0.52 % (7628)Instructions burned: 2 (million)
% 0.18/0.52 % (7628)------------------------------
% 0.18/0.52 % (7628)------------------------------
% 0.18/0.52 % (7613)Also succeeded, but the first one will report.
% 0.18/0.52 % (7635)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (7635)------------------------------
% 0.18/0.52 % (7635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (7635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (7635)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (7635)Memory used [KB]: 5500
% 0.18/0.52 % (7635)Time elapsed: 0.079 s
% 0.18/0.52 % (7635)Instructions burned: 4 (million)
% 0.18/0.52 % (7635)------------------------------
% 0.18/0.52 % (7635)------------------------------
% 0.18/0.52 % (7609)Success in time 0.178 s
%------------------------------------------------------------------------------