TSTP Solution File: DAT069_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT069_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 : n017.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 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 34 ( 7 unt; 11 typ; 0 def)
% Number of atoms : 41 ( 23 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 18 ~; 10 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 67 ( 17 atm; 11 fun; 9 num; 30 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 9 ( 6 >; 3 *; 0 +; 0 <<)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 41 ( 32 !; 9 ?; 41 :)
% 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(pred_def_1,type,
lsls: ( heap * heap ) > $o ).
tff(f430,plain,
$false,
inference(subsumption_resolution,[],[f423,f75]) ).
tff(f75,plain,
~ $less(length(sK1),sK0),
inference(cnf_transformation,[],[f58]) ).
tff(f58,plain,
( ( sel(app(sK1,sK2),sK0) != sel(sK1,sK0) )
& ~ $less(length(sK1),sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f56,f57]) ).
tff(f57,plain,
( ? [X0: $int,X1: heap,X2: $int] :
( ( sel(app(X1,X2),X0) != sel(X1,X0) )
& ~ $less(length(X1),X0) )
=> ( ( sel(app(sK1,sK2),sK0) != sel(sK1,sK0) )
& ~ $less(length(sK1),sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f56,plain,
? [X0: $int,X1: heap,X2: $int] :
( ( sel(app(X1,X2),X0) != sel(X1,X0) )
& ~ $less(length(X1),X0) ),
inference(rectify,[],[f44]) ).
tff(f44,plain,
? [X0: $int,X2: heap,X1: $int] :
( ( sel(X2,X0) != sel(app(X2,X1),X0) )
& ~ $less(length(X2),X0) ),
inference(ennf_transformation,[],[f40]) ).
tff(f40,plain,
~ ! [X0: $int,X2: heap,X1: $int] :
( ( sel(X2,X0) = sel(app(X2,X1),X0) )
| $less(length(X2),X0) ),
inference(rectify,[],[f16]) ).
tff(f16,negated_conjecture,
~ ! [X0: $int,X2: $int,X1: heap] :
( ( sel(app(X1,X2),X0) = sel(X1,X0) )
| $less(length(X1),X0) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
! [X0: $int,X2: $int,X1: heap] :
( ( sel(app(X1,X2),X0) = sel(X1,X0) )
| $less(length(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',th_4) ).
tff(f423,plain,
$less(length(sK1),sK0),
inference(resolution,[],[f314,f22]) ).
tff(f22,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f314,plain,
! [X0: $int] :
( $less(length(sK1),X0)
| $less(X0,sK0) ),
inference(superposition,[],[f85,f265]) ).
tff(f265,plain,
$sum(1,length(sK1)) = sK0,
inference(trivial_inequality_removal,[],[f263]) ).
tff(f263,plain,
( ( sel(sK1,sK0) != sel(sK1,sK0) )
| ( $sum(1,length(sK1)) = sK0 ) ),
inference(superposition,[],[f76,f78]) ).
tff(f78,plain,
! [X2: $int,X0: heap,X1: $int] :
( ( sel(X0,X2) = sel(app(X0,X1),X2) )
| ( $sum(1,length(X0)) = X2 ) ),
inference(cnf_transformation,[],[f59]) ).
tff(f59,plain,
! [X0: heap,X1: $int,X2: $int] :
( ( sel(X0,X2) = sel(app(X0,X1),X2) )
| ( $sum(1,length(X0)) = X2 ) ),
inference(rectify,[],[f46]) ).
tff(f46,plain,
! [X0: heap,X2: $int,X1: $int] :
( ( sel(app(X0,X2),X1) = sel(X0,X1) )
| ( $sum(1,length(X0)) = X1 ) ),
inference(ennf_transformation,[],[f31]) ).
tff(f31,plain,
! [X2: $int,X1: $int,X0: heap] :
( ( $sum(1,length(X0)) != X1 )
=> ( sel(app(X0,X2),X1) = sel(X0,X1) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X1: heap,X0: $int,X2: $int] :
( ( $sum(1,length(X1)) != X0 )
=> ( sel(app(X1,X2),X0) = sel(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_3) ).
tff(f76,plain,
sel(app(sK1,sK2),sK0) != sel(sK1,sK0),
inference(cnf_transformation,[],[f58]) ).
tff(f85,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f26,f17]) ).
tff(f17,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f26,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT069=1 : TPTP v8.1.0. Released v5.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n017.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 19:44:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (9263)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.46 % (9265)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)
% 0.19/0.49 % (9302)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.51 % (9263)Instruction limit reached!
% 0.19/0.51 % (9263)------------------------------
% 0.19/0.51 % (9263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (9263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (9263)Termination reason: Unknown
% 0.19/0.51 % (9263)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (9263)Memory used [KB]: 6268
% 0.19/0.51 % (9263)Time elapsed: 0.048 s
% 0.19/0.51 % (9263)Instructions burned: 51 (million)
% 0.19/0.51 % (9263)------------------------------
% 0.19/0.51 % (9263)------------------------------
% 0.19/0.52 % (9265)First to succeed.
% 0.19/0.52 % (9265)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (9265)------------------------------
% 0.19/0.52 % (9265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (9265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (9265)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (9265)Memory used [KB]: 1279
% 0.19/0.52 % (9265)Time elapsed: 0.067 s
% 0.19/0.52 % (9265)Instructions burned: 28 (million)
% 0.19/0.52 % (9265)------------------------------
% 0.19/0.52 % (9265)------------------------------
% 0.19/0.52 % (9260)Success in time 0.174 s
%------------------------------------------------------------------------------