TSTP Solution File: DAT019_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT019_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 : n021.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 16:03:55 EDT 2022
% Result : Theorem 1.45s 0.56s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 6 unt; 5 typ; 0 def)
% Number of atoms : 28 ( 7 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 27 ( 11 ~; 10 |; 4 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 29 ( 0 atm; 0 fun; 16 num; 13 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?; 20 :)
% 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(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f33,plain,
$false,
inference(unit_resulting_resolution,[],[f30,f28,f23]) ).
tff(f23,plain,
! [X2: $int,X0: collection,X1: $int] :
( in(X1,add(X2,X0))
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: collection,X1: $int,X2: $int] :
( ( in(X1,add(X2,X0))
| ( ( X1 != X2 )
& ~ in(X1,X0) ) )
& ( ( X1 = X2 )
| in(X1,X0)
| ~ in(X1,add(X2,X0)) ) ),
inference(flattening,[],[f14]) ).
tff(f14,plain,
! [X0: collection,X1: $int,X2: $int] :
( ( in(X1,add(X2,X0))
| ( ( X1 != X2 )
& ~ in(X1,X0) ) )
& ( ( X1 = X2 )
| in(X1,X0)
| ~ in(X1,add(X2,X0)) ) ),
inference(nnf_transformation,[],[f11]) ).
tff(f11,plain,
! [X0: collection,X1: $int,X2: $int] :
( in(X1,add(X2,X0))
<=> ( ( X1 = X2 )
| in(X1,X0) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X6: collection,X5: $int,X7: $int] :
( ( ( X5 = X7 )
| in(X5,X6) )
<=> in(X5,add(X7,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
tff(f28,plain,
~ in(3,add(1,add(3,add(5,empty)))),
inference(cnf_transformation,[],[f8]) ).
tff(f8,plain,
~ in(3,add(1,add(3,add(5,empty)))),
inference(flattening,[],[f7]) ).
tff(f7,negated_conjecture,
~ in(3,add(1,add(3,add(5,empty)))),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
in(3,add(1,add(3,add(5,empty)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f30,plain,
! [X2: $int,X0: collection] : in(X2,add(X2,X0)),
inference(equality_resolution,[],[f24]) ).
tff(f24,plain,
! [X2: $int,X0: collection,X1: $int] :
( in(X1,add(X2,X0))
| ( X1 != X2 ) ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT019=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 20:12:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.54 % (15193)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)
% 0.20/0.55 % (15185)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.20/0.55 % (15193)Refutation not found, incomplete strategy% (15193)------------------------------
% 0.20/0.55 % (15193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (15185)First to succeed.
% 0.20/0.55 % (15193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (15193)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (15193)Memory used [KB]: 5500
% 0.20/0.55 % (15193)Time elapsed: 0.122 s
% 0.20/0.55 % (15193)Instructions burned: 1 (million)
% 0.20/0.55 % (15193)------------------------------
% 0.20/0.55 % (15193)------------------------------
% 1.45/0.55 % (15201)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.45/0.56 % (15185)Refutation found. Thanks to Tanya!
% 1.45/0.56 % SZS status Theorem for theBenchmark
% 1.45/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.56 % (15185)------------------------------
% 1.45/0.56 % (15185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.56 % (15185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.56 % (15185)Termination reason: Refutation
% 1.45/0.56
% 1.45/0.56 % (15185)Memory used [KB]: 5500
% 1.45/0.56 % (15185)Time elapsed: 0.124 s
% 1.45/0.56 % (15185)Instructions burned: 2 (million)
% 1.45/0.56 % (15185)------------------------------
% 1.45/0.56 % (15185)------------------------------
% 1.45/0.56 % (15178)Success in time 0.208 s
%------------------------------------------------------------------------------