TSTP Solution File: DAT333_3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT333_3 : TPTP v8.2.0. Released v8.2.0.
% 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 : n022.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 : Mon May 22 15:24:19 EDT 2023
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 29 ( 6 unt; 9 typ; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 54 ( 15 ~; 7 |; 25 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 41 ( 41 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 11 ( 7 >; 4 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 31 (; 22 !; 9 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_7,type,
sK0: $i > '$ki_world' ).
tff(func_def_8,type,
sK1: '$ki_world' > $i ).
tff(func_def_9,type,
sK2: '$ki_world' > $i ).
tff(func_def_10,type,
sK3: '$ki_world' > '$ki_world' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
teach: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_3,type,
'$ki_exists_in_world_$i': ( '$ki_world' * $i ) > $o ).
tff(f37,plain,
$false,
inference(unit_resulting_resolution,[],[f32,f31,f25]) ).
tff(f25,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| teach(X0,john,math) ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ( teach(X0,sK1(X0),cs)
& '$ki_exists_in_world_$i'(X0,sK1(X0))
& teach(X0,john,math)
& teach(X0,mary,psych)
& teach(X0,sue,psych) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f12,f15]) ).
tff(f15,plain,
! [X0: '$ki_world'] :
( ? [X1] :
( teach(X0,X1,cs)
& '$ki_exists_in_world_$i'(X0,X1) )
=> ( teach(X0,sK1(X0),cs)
& '$ki_exists_in_world_$i'(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
tff(f12,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ( ? [X1] :
( teach(X0,X1,cs)
& '$ki_exists_in_world_$i'(X0,X1) )
& teach(X0,john,math)
& teach(X0,mary,psych)
& teach(X0,sue,psych) ) ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,plain,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( ? [X1] :
( teach(X0,X1,cs)
& '$ki_exists_in_world_$i'(X0,X1) )
& teach(X0,john,math)
& teach(X0,mary,psych)
& teach(X0,sue,psych) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( ? [X2] :
( '$ki_exists_in_world_$i'(X0,X2)
& teach(X0,X2,cs) )
& teach(X0,sue,psych)
& teach(X0,mary,psych)
& teach(X0,john,math) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',db) ).
tff(f31,plain,
! [X0: $i] : ~ teach(sK0(X0),john,X0),
inference(subsumption_resolution,[],[f22,f29]) ).
tff(f29,plain,
! [X0: $i,X1: '$ki_world'] : '$ki_exists_in_world_$i'(X1,X0),
inference(cnf_transformation,[],[f9]) ).
tff(f9,plain,
! [X0,X1: '$ki_world'] : '$ki_exists_in_world_$i'(X1,X0),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X2,X0: '$ki_world'] : '$ki_exists_in_world_$i'(X0,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$ki_exists_in_world_$i_const') ).
tff(f22,plain,
! [X0: $i] :
( ~ '$ki_exists_in_world_$i'('$ki_local_world',X0)
| ~ teach(sK0(X0),john,X0) ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0] :
( ( ~ teach(sK0(X0),john,X0)
& '$ki_accessible'('$ki_local_world',sK0(X0)) )
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f13]) ).
tff(f13,plain,
! [X0] :
( ? [X1: '$ki_world'] :
( ~ teach(X1,john,X0)
& '$ki_accessible'('$ki_local_world',X1) )
=> ( ~ teach(sK0(X0),john,X0)
& '$ki_accessible'('$ki_local_world',sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
tff(f11,plain,
! [X0] :
( ? [X1: '$ki_world'] :
( ~ teach(X1,john,X0)
& '$ki_accessible'('$ki_local_world',X1) )
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,plain,
~ ? [X0] :
( '$ki_exists_in_world_$i'('$ki_local_world',X0)
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> teach(X1,john,X0) ) ),
inference(rectify,[],[f6]) ).
tff(f6,negated_conjecture,
~ ? [X2] :
( '$ki_exists_in_world_$i'('$ki_local_world',X2)
& ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> teach(X0,john,X2) ) ),
inference(negated_conjecture,[],[f5]) ).
tff(f5,conjecture,
? [X2] :
( '$ki_exists_in_world_$i'('$ki_local_world',X2)
& ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> teach(X0,john,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(f32,plain,
! [X0: $i] : '$ki_accessible'('$ki_local_world',sK0(X0)),
inference(subsumption_resolution,[],[f21,f29]) ).
tff(f21,plain,
! [X0: $i] :
( ~ '$ki_exists_in_world_$i'('$ki_local_world',X0)
| '$ki_accessible'('$ki_local_world',sK0(X0)) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : DAT333_3 : TPTP v8.2.0. Released v8.2.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 22 11:04:15 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (14620)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.51 % (14611)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.51 % (14620)First to succeed.
% 0.21/0.51 % (14611)Also succeeded, but the first one will report.
% 0.21/0.52 % (14620)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (14620)------------------------------
% 0.21/0.52 % (14620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (14620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (14620)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (14620)Memory used [KB]: 1407
% 0.21/0.52 % (14620)Time elapsed: 0.059 s
% 0.21/0.52 % (14620)Instructions burned: 1 (million)
% 0.21/0.52 % (14620)------------------------------
% 0.21/0.52 % (14620)------------------------------
% 0.21/0.52 % (14595)Success in time 0.159 s
%------------------------------------------------------------------------------