TSTP Solution File: DAT031_1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT031_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 : n020.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 16:03:57 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 6 unt; 6 typ; 0 def)
% Number of atoms : 71 ( 16 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 70 ( 21 ~; 27 |; 16 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 101 ( 22 atm; 0 fun; 53 num; 26 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 4 usr; 7 con; 0-2 aty)
% Number of variables : 41 ( 36 !; 5 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_12,type,
sK0: collection ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f55,plain,
$false,
inference(evaluation,[],[f53]) ).
tff(f53,plain,
( $less(40,30)
| $less(30,20) ),
inference(resolution,[],[f51,f45]) ).
tff(f45,plain,
! [X0: collection,X1: $int] : in(X1,add(X1,X0)),
inference(cnf_transformation,[],[f34]) ).
tff(f34,plain,
! [X0: collection,X1: $int] : in(X1,add(X1,X0)),
inference(rectify,[],[f21]) ).
tff(f21,plain,
! [X1: collection,X0: $int] : in(X0,add(X0,X1)),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X1: $int,X2: collection] : in(X1,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f51,plain,
! [X0: $int] :
( ~ in(X0,add(30,add(50,empty)))
| $less(X0,20)
| $less(40,X0) ),
inference(resolution,[],[f48,f43]) ).
tff(f43,plain,
! [X2: $int,X0: collection,X1: $int] :
( in(X2,add(X1,X0))
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f33]) ).
tff(f33,plain,
! [X0: collection,X1: $int,X2: $int] :
( ( in(X2,add(X1,X0))
| ( ~ in(X2,X0)
& ( X1 != X2 ) ) )
& ( in(X2,X0)
| ( X1 = X2 )
| ~ in(X2,add(X1,X0)) ) ),
inference(rectify,[],[f32]) ).
tff(f32,plain,
! [X0: collection,X2: $int,X1: $int] :
( ( in(X1,add(X2,X0))
| ( ~ in(X1,X0)
& ( X1 != X2 ) ) )
& ( in(X1,X0)
| ( X1 = X2 )
| ~ in(X1,add(X2,X0)) ) ),
inference(flattening,[],[f31]) ).
tff(f31,plain,
! [X0: collection,X2: $int,X1: $int] :
( ( in(X1,add(X2,X0))
| ( ~ in(X1,X0)
& ( X1 != X2 ) ) )
& ( in(X1,X0)
| ( X1 = X2 )
| ~ in(X1,add(X2,X0)) ) ),
inference(nnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: collection,X2: $int,X1: $int] :
( in(X1,add(X2,X0))
<=> ( in(X1,X0)
| ( X1 = X2 ) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X6: collection,X5: $int,X7: $int] :
( in(X5,add(X7,X6))
<=> ( ( X5 = X7 )
| in(X5,X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f48,plain,
! [X1: $int] :
( ~ in(X1,add(10,add(30,add(50,empty))))
| $less(40,X1)
| $less(X1,20) ),
inference(forward_demodulation,[],[f40,f39]) ).
tff(f39,plain,
add(10,add(30,add(50,empty))) = sK0,
inference(cnf_transformation,[],[f30]) ).
tff(f30,plain,
( ! [X1: $int] :
( $less(X1,20)
| ~ in(X1,sK0)
| $less(40,X1) )
& ( add(10,add(30,add(50,empty))) = sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f25,f29]) ).
tff(f29,plain,
( ? [X0: collection] :
( ! [X1: $int] :
( $less(X1,20)
| ~ in(X1,X0)
| $less(40,X1) )
& ( add(10,add(30,add(50,empty))) = X0 ) )
=> ( ! [X1: $int] :
( $less(X1,20)
| ~ in(X1,sK0)
| $less(40,X1) )
& ( add(10,add(30,add(50,empty))) = sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f25,plain,
? [X0: collection] :
( ! [X1: $int] :
( $less(X1,20)
| ~ in(X1,X0)
| $less(40,X1) )
& ( add(10,add(30,add(50,empty))) = X0 ) ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,plain,
~ ! [X0: collection] :
( ( add(10,add(30,add(50,empty))) = X0 )
=> ? [X1: $int] :
( ~ $less(40,X1)
& ~ $less(X1,20)
& in(X1,X0) ) ),
inference(theory_normalization,[],[f7]) ).
tff(f7,negated_conjecture,
~ ! [X0: collection] :
( ( add(10,add(30,add(50,empty))) = X0 )
=> ? [X1: $int] :
( in(X1,X0)
& $lesseq(20,X1)
& $lesseq(X1,40) ) ),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
! [X0: collection] :
( ( add(10,add(30,add(50,empty))) = X0 )
=> ? [X1: $int] :
( in(X1,X0)
& $lesseq(20,X1)
& $lesseq(X1,40) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f40,plain,
! [X1: $int] :
( ~ in(X1,sK0)
| $less(X1,20)
| $less(40,X1) ),
inference(cnf_transformation,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : DAT031=1 : TPTP v8.1.0. Released v5.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n020.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 : Mon Aug 29 20:19:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 % (15400)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.48 % (15400)Instruction limit reached!
% 0.19/0.48 % (15400)------------------------------
% 0.19/0.48 % (15400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (15400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (15400)Termination reason: Unknown
% 0.19/0.48 % (15400)Termination phase: Preprocessing 1
% 0.19/0.48
% 0.19/0.48 % (15400)Memory used [KB]: 895
% 0.19/0.48 % (15400)Time elapsed: 0.004 s
% 0.19/0.48 % (15400)Instructions burned: 2 (million)
% 0.19/0.48 % (15400)------------------------------
% 0.19/0.48 % (15400)------------------------------
% 0.19/0.51 % (15392)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)
% 0.19/0.52 % (15392)First to succeed.
% 0.19/0.52 % (15392)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 % (15392)------------------------------
% 0.19/0.52 % (15392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (15392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (15392)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (15392)Memory used [KB]: 5500
% 0.19/0.52 % (15392)Time elapsed: 0.118 s
% 0.19/0.52 % (15392)Instructions burned: 3 (million)
% 0.19/0.52 % (15392)------------------------------
% 0.19/0.52 % (15392)------------------------------
% 0.19/0.52 % (15390)Success in time 0.172 s
%------------------------------------------------------------------------------