TSTP Solution File: DAT031_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_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 16:04:40 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 31 ( 4 unt; 6 typ; 0 def)
% Number of atoms : 81 ( 17 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 92 ( 36 ~; 34 |; 16 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 117 ( 30 atm; 0 fun; 54 num; 33 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 : 46 ( 41 !; 5 ?; 46 :)
% 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(f471,plain,
$false,
inference(evaluation,[],[f467]) ).
tff(f467,plain,
( ~ $less(30,40)
| ~ $less(20,30) ),
inference(resolution,[],[f322,f46]) ).
tff(f46,plain,
! [X2: $int,X1: collection] : in(X2,add(X2,X1)),
inference(equality_resolution,[],[f38]) ).
tff(f38,plain,
! [X2: $int,X0: $int,X1: collection] :
( in(X0,add(X2,X1))
| ( X0 != X2 ) ),
inference(cnf_transformation,[],[f31]) ).
tff(f31,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( in(X0,add(X2,X1))
| ( ~ in(X0,X1)
& ( X0 != X2 ) ) )
& ( in(X0,X1)
| ( X0 = X2 )
| ~ in(X0,add(X2,X1)) ) ),
inference(rectify,[],[f30]) ).
tff(f30,plain,
! [X0: $int,X2: collection,X1: $int] :
( ( in(X0,add(X1,X2))
| ( ~ in(X0,X2)
& ( X0 != X1 ) ) )
& ( in(X0,X2)
| ( X0 = X1 )
| ~ in(X0,add(X1,X2)) ) ),
inference(flattening,[],[f29]) ).
tff(f29,plain,
! [X0: $int,X2: collection,X1: $int] :
( ( in(X0,add(X1,X2))
| ( ~ in(X0,X2)
& ( X0 != X1 ) ) )
& ( in(X0,X2)
| ( X0 = X1 )
| ~ in(X0,add(X1,X2)) ) ),
inference(nnf_transformation,[],[f21]) ).
tff(f21,plain,
! [X0: $int,X2: collection,X1: $int] :
( in(X0,add(X1,X2))
<=> ( in(X0,X2)
| ( X0 = X1 ) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X5: $int,X7: $int,X6: collection] :
( ( in(X5,X6)
| ( X5 = X7 ) )
<=> in(X5,add(X7,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
tff(f322,plain,
! [X0: $int] :
( ~ in(X0,add(30,add(50,empty)))
| ~ $less(X0,40)
| ~ $less(20,X0) ),
inference(resolution,[],[f242,f129]) ).
tff(f129,plain,
! [X0: $int] :
( in(X0,sK0)
| ~ in(X0,add(30,add(50,empty))) ),
inference(superposition,[],[f39,f41]) ).
tff(f41,plain,
add(10,add(30,add(50,empty))) = sK0,
inference(cnf_transformation,[],[f33]) ).
tff(f33,plain,
( ! [X1: $int] :
( ~ in(X1,sK0)
| $less(X1,20)
| $less(40,X1) )
& ( add(10,add(30,add(50,empty))) = sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f25,f32]) ).
tff(f32,plain,
( ? [X0: collection] :
( ! [X1: $int] :
( ~ in(X1,X0)
| $less(X1,20)
| $less(40,X1) )
& ( add(10,add(30,add(50,empty))) = X0 ) )
=> ( ! [X1: $int] :
( ~ in(X1,sK0)
| $less(X1,20)
| $less(40,X1) )
& ( add(10,add(30,add(50,empty))) = sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f25,plain,
? [X0: collection] :
( ! [X1: $int] :
( ~ in(X1,X0)
| $less(X1,20)
| $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] :
( in(X1,X0)
& ~ $less(40,X1)
& ~ $less(X1,20) ) ),
inference(theory_normalization,[],[f7]) ).
tff(f7,negated_conjecture,
~ ! [X0: collection] :
( ( add(10,add(30,add(50,empty))) = X0 )
=> ? [X1: $int] :
( $lesseq(X1,40)
& in(X1,X0)
& $lesseq(20,X1) ) ),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
! [X0: collection] :
( ( add(10,add(30,add(50,empty))) = X0 )
=> ? [X1: $int] :
( $lesseq(X1,40)
& in(X1,X0)
& $lesseq(20,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f39,plain,
! [X2: $int,X0: $int,X1: collection] :
( in(X0,add(X2,X1))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
tff(f242,plain,
! [X1: $int] :
( ~ in(X1,sK0)
| ~ $less(20,X1)
| ~ $less(X1,40) ),
inference(resolution,[],[f192,f135]) ).
tff(f135,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| ~ $less(X0,X1) ),
inference(resolution,[],[f15,f14]) ).
tff(f14,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f15,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X0,X1)
| ~ $less(X1,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f192,plain,
! [X0: $int] :
( $less(X0,20)
| ~ $less(X0,40)
| ~ in(X0,sK0) ),
inference(resolution,[],[f135,f42]) ).
tff(f42,plain,
! [X1: $int] :
( $less(40,X1)
| ~ in(X1,sK0)
| $less(X1,20) ),
inference(cnf_transformation,[],[f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : DAT031=1 : TPTP v8.1.0. Released v5.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.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 19:41:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.46 % (28936)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)
% 0.19/0.48 % (28945)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49 % (28945)First to succeed.
% 0.19/0.50 % (28940)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.50 % (28945)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (28945)------------------------------
% 0.19/0.50 % (28945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (28945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (28945)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (28945)Memory used [KB]: 1279
% 0.19/0.50 % (28945)Time elapsed: 0.092 s
% 0.19/0.50 % (28945)Instructions burned: 23 (million)
% 0.19/0.50 % (28945)------------------------------
% 0.19/0.50 % (28945)------------------------------
% 0.19/0.50 % (28930)Success in time 0.149 s
%------------------------------------------------------------------------------