TSTP Solution File: DAT066_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT066_1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n024.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 16:04:48 EDT 2022
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 22
% Syntax : Number of formulae : 42 ( 15 unt; 15 typ; 0 def)
% Number of atoms : 41 ( 40 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 6 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 61 ( 0 atm; 19 fun; 19 num; 23 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 9 ( 6 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 35 ( 26 !; 9 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
heap: $tType ).
tff(func_def_0,type,
empty: heap ).
tff(func_def_1,type,
toop: heap > $int ).
tff(func_def_2,type,
sel: ( heap * $int ) > $int ).
tff(func_def_3,type,
length: heap > $int ).
tff(func_def_4,type,
app: ( heap * $int ) > heap ).
tff(func_def_5,type,
get: heap > heap ).
tff(func_def_10,type,
sK0: $int ).
tff(func_def_11,type,
sK1: heap ).
tff(func_def_12,type,
sK2: $int ).
tff(func_def_13,type,
sF3: heap ).
tff(func_def_14,type,
sF4: $int ).
tff(func_def_15,type,
sF5: $int ).
tff(func_def_16,type,
sF6: $int ).
tff(pred_def_1,type,
lsls: ( heap * heap ) > $o ).
tff(f174,plain,
$false,
inference(subsumption_resolution,[],[f173,f84]) ).
tff(f84,plain,
sF4 != sK0,
inference(definition_folding,[],[f74,f83,f82]) ).
tff(f82,plain,
sF3 = app(sK1,sK0),
introduced(function_definition,[]) ).
tff(f83,plain,
sel(sF3,sK2) = sF4,
introduced(function_definition,[]) ).
tff(f74,plain,
sK0 != sel(app(sK1,sK0),sK2),
inference(cnf_transformation,[],[f56]) ).
tff(f56,plain,
( ( sK0 != sel(app(sK1,sK0),sK2) )
& ( sK2 = $sum(1,length(sK1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f54,f55]) ).
tff(f55,plain,
( ? [X0: $int,X1: heap,X2: $int] :
( ( sel(app(X1,X0),X2) != X0 )
& ( $sum(1,length(X1)) = X2 ) )
=> ( ( sK0 != sel(app(sK1,sK0),sK2) )
& ( sK2 = $sum(1,length(sK1)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f54,plain,
? [X0: $int,X1: heap,X2: $int] :
( ( sel(app(X1,X0),X2) != X0 )
& ( $sum(1,length(X1)) = X2 ) ),
inference(rectify,[],[f41]) ).
tff(f41,plain,
? [X0: $int,X2: heap,X1: $int] :
( ( sel(app(X2,X0),X1) != X0 )
& ( $sum(1,length(X2)) = X1 ) ),
inference(ennf_transformation,[],[f31]) ).
tff(f31,plain,
~ ! [X2: heap,X0: $int,X1: $int] :
( ( $sum(1,length(X2)) != X1 )
| ( sel(app(X2,X0),X1) = X0 ) ),
inference(rectify,[],[f16]) ).
tff(f16,negated_conjecture,
~ ! [X2: $int,X0: $int,X1: heap] :
( ( $sum(1,length(X1)) != X0 )
| ( sel(app(X1,X2),X0) = X2 ) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
! [X2: $int,X0: $int,X1: heap] :
( ( $sum(1,length(X1)) != X0 )
| ( sel(app(X1,X2),X0) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',th_1) ).
tff(f173,plain,
sF4 = sK0,
inference(backward_demodulation,[],[f83,f172]) ).
tff(f172,plain,
sel(sF3,sK2) = sK0,
inference(forward_demodulation,[],[f171,f88]) ).
tff(f88,plain,
sK2 = $sum(1,sF5),
inference(backward_demodulation,[],[f86,f87]) ).
tff(f87,plain,
sK2 = sF6,
inference(definition_folding,[],[f73,f86,f85]) ).
tff(f85,plain,
sF5 = length(sK1),
introduced(function_definition,[]) ).
tff(f73,plain,
sK2 = $sum(1,length(sK1)),
inference(cnf_transformation,[],[f56]) ).
tff(f86,plain,
sF6 = $sum(1,sF5),
introduced(function_definition,[]) ).
tff(f171,plain,
sel(sF3,$sum(1,sF5)) = sK0,
inference(forward_demodulation,[],[f163,f85]) ).
tff(f163,plain,
sel(sF3,$sum(1,length(sK1))) = sK0,
inference(superposition,[],[f78,f82]) ).
tff(f78,plain,
! [X2: $int,X1: heap] : ( sel(app(X1,X2),$sum(1,length(X1))) = X2 ),
inference(equality_resolution,[],[f65]) ).
tff(f65,plain,
! [X2: $int,X0: $int,X1: heap] :
( ( sel(app(X1,X2),X0) = X2 )
| ( $sum(1,length(X1)) != X0 ) ),
inference(cnf_transformation,[],[f48]) ).
tff(f48,plain,
! [X0: $int,X1: heap,X2: $int] :
( ( sel(app(X1,X2),X0) = X2 )
| ( $sum(1,length(X1)) != X0 ) ),
inference(rectify,[],[f45]) ).
tff(f45,plain,
! [X2: $int,X1: heap,X0: $int] :
( ( sel(app(X1,X0),X2) = X0 )
| ( $sum(1,length(X1)) != X2 ) ),
inference(ennf_transformation,[],[f38]) ).
tff(f38,plain,
! [X1: heap,X2: $int,X0: $int] :
( ( $sum(1,length(X1)) = X2 )
=> ( sel(app(X1,X0),X2) = X0 ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X2: $int,X1: heap,X0: $int] :
( ( $sum(1,length(X1)) = X0 )
=> ( sel(app(X1,X2),X0) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : DAT066=1 : TPTP v8.1.0. Released v5.5.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n024.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 : Mon Aug 29 21:43:49 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (2200)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (2199)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.52 % (2219)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52 % (2197)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.52 % (2197)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.52 % (2197)Terminated due to inappropriate strategy.
% 0.21/0.52 % (2197)------------------------------
% 0.21/0.52 % (2197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (2197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (2197)Termination reason: Inappropriate
% 0.21/0.52
% 0.21/0.52 % (2197)Memory used [KB]: 895
% 0.21/0.52 % (2197)Time elapsed: 0.002 s
% 0.21/0.52 % (2197)Instructions burned: 1 (million)
% 0.21/0.52 % (2197)------------------------------
% 0.21/0.52 % (2197)------------------------------
% 0.21/0.52 % (2213)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52 % (2210)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (2211)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53 % (2226)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.53 % (2223)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.53 % (2229)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53 % (2215)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.53 % (2203)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (2203)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.53 % (2203)Terminated due to inappropriate strategy.
% 0.21/0.53 % (2203)------------------------------
% 0.21/0.53 % (2203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (2203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (2203)Termination reason: Inappropriate
% 0.21/0.53
% 0.21/0.53 % (2203)Memory used [KB]: 895
% 0.21/0.53 % (2203)Time elapsed: 0.002 s
% 0.21/0.53 % (2203)------------------------------
% 0.21/0.53 % (2203)------------------------------
% 0.21/0.53 % (2229)First to succeed.
% 0.21/0.53 % (2224)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.53 % (2214)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.54 % (2199)Also succeeded, but the first one will report.
% 0.21/0.54 % (2229)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (2229)------------------------------
% 0.21/0.54 % (2229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (2229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (2229)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (2229)Memory used [KB]: 5500
% 0.21/0.54 % (2229)Time elapsed: 0.134 s
% 0.21/0.54 % (2229)Instructions burned: 6 (million)
% 0.21/0.54 % (2229)------------------------------
% 0.21/0.54 % (2229)------------------------------
% 0.21/0.54 % (2194)Success in time 0.179 s
%------------------------------------------------------------------------------