TSTP Solution File: DAT061_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT061_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_uns --cores 0 -t %d %s
% Computer : n025.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 16:04:03 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 30 ( 6 unt; 11 typ; 0 def)
% Number of atoms : 34 ( 22 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 14 ~; 7 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 35 ( 11 atm; 0 fun; 2 num; 22 var)
% Number of types : 3 ( 2 usr; 1 ari)
% Number of type conns : 7 ( 3 >; 4 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 44 ( 32 !; 12 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
data: $tType ).
tff(type_def_6,type,
array: $tType ).
tff(func_def_0,type,
mkarray: array ).
tff(func_def_1,type,
none: data ).
tff(func_def_2,type,
put: ( array * $int * data ) > array ).
tff(func_def_3,type,
get: ( array * $int ) > data ).
tff(func_def_8,type,
sK0: ( array * array ) > $int ).
tff(func_def_9,type,
sK1: $int ).
tff(func_def_10,type,
sK2: array ).
tff(func_def_11,type,
sK3: data ).
tff(func_def_12,type,
sK4: $int ).
tff(f75,plain,
$false,
inference(evaluation,[],[f74]) ).
tff(f74,plain,
$less(0,0),
inference(cancellation,[],[f73]) ).
tff(f73,plain,
$less(sK1,sK1),
inference(backward_demodulation,[],[f43,f67]) ).
tff(f67,plain,
sK1 = sK4,
inference(trivial_inequality_removal,[],[f66]) ).
tff(f66,plain,
( ( sK1 = sK4 )
| ( get(sK2,sK4) != get(sK2,sK4) ) ),
inference(superposition,[],[f44,f41]) ).
tff(f41,plain,
! [X2: data,X3: array,X0: $int,X1: $int] :
( ( get(put(X3,X0,X2),X1) = get(X3,X1) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f33]) ).
tff(f33,plain,
! [X0: $int,X1: $int,X2: data,X3: array] :
( ( get(put(X3,X0,X2),X1) = get(X3,X1) )
| ( X0 = X1 ) ),
inference(rectify,[],[f26]) ).
tff(f26,plain,
! [X3: $int,X2: $int,X1: data,X0: array] :
( ( get(put(X0,X3,X1),X2) = get(X0,X2) )
| ( X2 = X3 ) ),
inference(ennf_transformation,[],[f23]) ).
tff(f23,plain,
! [X3: $int,X1: data,X2: $int,X0: array] :
( ( X2 != X3 )
=> ( get(put(X0,X3,X1),X2) = get(X0,X2) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X1: array,X2: data,X0: $int,X3: $int] :
( ( X0 != X3 )
=> ( get(put(X1,X3,X2),X0) = get(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_19) ).
tff(f44,plain,
get(put(sK2,sK1,sK3),sK4) != get(sK2,sK4),
inference(cnf_transformation,[],[f36]) ).
tff(f36,plain,
( ( get(put(sK2,sK1,sK3),sK4) != get(sK2,sK4) )
& $less(sK1,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f34,f35]) ).
tff(f35,plain,
( ? [X0: $int,X1: array,X2: data,X3: $int] :
( ( get(X1,X3) != get(put(X1,X0,X2),X3) )
& $less(X0,X3) )
=> ( ( get(put(sK2,sK1,sK3),sK4) != get(sK2,sK4) )
& $less(sK1,sK4) ) ),
introduced(choice_axiom,[]) ).
tff(f34,plain,
? [X0: $int,X1: array,X2: data,X3: $int] :
( ( get(X1,X3) != get(put(X1,X0,X2),X3) )
& $less(X0,X3) ),
inference(rectify,[],[f25]) ).
tff(f25,plain,
? [X2: $int,X0: array,X3: data,X1: $int] :
( ( get(put(X0,X2,X3),X1) != get(X0,X1) )
& $less(X2,X1) ),
inference(ennf_transformation,[],[f20]) ).
tff(f20,plain,
~ ! [X1: $int,X0: array,X2: $int,X3: data] :
( ( get(put(X0,X2,X3),X1) = get(X0,X1) )
| ~ $less(X2,X1) ),
inference(rectify,[],[f7]) ).
tff(f7,negated_conjecture,
~ ! [X1: array,X3: $int,X0: $int,X2: data] :
( ( get(X1,X3) = get(put(X1,X0,X2),X3) )
| ~ $less(X0,X3) ),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
! [X1: array,X3: $int,X0: $int,X2: data] :
( ( get(X1,X3) = get(put(X1,X0,X2),X3) )
| ~ $less(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',th_lem_7) ).
tff(f43,plain,
$less(sK1,sK4),
inference(cnf_transformation,[],[f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : DAT061=1 : TPTP v8.1.0. Released v5.5.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 21:49:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 % (26939)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.18/0.47 % (26947)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.48 % (26931)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.48 % (26939)First to succeed.
% 0.18/0.48 % (26931)Instruction limit reached!
% 0.18/0.48 % (26931)------------------------------
% 0.18/0.48 % (26931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (26931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (26951)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)
% 0.18/0.48 % (26931)Termination reason: Unknown
% 0.18/0.48 % (26931)Termination phase: SInE selection
% 0.18/0.48
% 0.18/0.48 % (26931)Memory used [KB]: 895
% 0.18/0.48 % (26931)Time elapsed: 0.003 s
% 0.18/0.48 % (26931)Instructions burned: 2 (million)
% 0.18/0.48 % (26931)------------------------------
% 0.18/0.48 % (26931)------------------------------
% 0.18/0.48 % (26932)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.48 % (26939)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (26939)------------------------------
% 0.18/0.48 % (26939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (26939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (26939)Termination reason: Refutation
% 0.18/0.48
% 0.18/0.48 % (26939)Memory used [KB]: 5500
% 0.18/0.48 % (26939)Time elapsed: 0.103 s
% 0.18/0.48 % (26939)Instructions burned: 4 (million)
% 0.18/0.48 % (26939)------------------------------
% 0.18/0.48 % (26939)------------------------------
% 0.18/0.48 % (26926)Success in time 0.143 s
%------------------------------------------------------------------------------