TSTP Solution File: DAT334_8 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT334_8 : 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_sat --cores 0 -t %d %s
% Computer : n001.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 15:24:20 EDT 2023
% Result : Theorem 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 32 ( 3 unt; 8 typ; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 66 ( 23 ~; 16 |; 20 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 31 ( 31 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 9 ( 5 >; 4 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 9 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 20 (; 13 !; 7 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_7,type,
sK0: '$ki_world' > $i ).
tff(func_def_8,type,
sK1: '$ki_world' > $i ).
tff(func_def_9,type,
sK2: '$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,
$false,
inference(avatar_sat_refutation,[],[f32,f34,f36]) ).
tff(f36,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f35,f29,f25]) ).
tff(f25,plain,
( spl3_1
<=> '$ki_accessible'('$ki_local_world',sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
tff(f29,plain,
( spl3_2
<=> '$ki_exists_in_world_$i'(sK2,sK0(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
tff(f35,plain,
( ~ '$ki_accessible'('$ki_local_world',sK2)
| spl3_2 ),
inference(resolution,[],[f31,f17]) ).
tff(f17,plain,
! [X0: '$ki_world'] :
( '$ki_exists_in_world_$i'(X0,sK0(X0))
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f9]) ).
tff(f9,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ( teach(X0,mary,psych)
& '$ki_exists_in_world_$i'(X0,sK0(X0))
& teach(X0,sK0(X0),cs)
& teach(X0,john,math)
& teach(X0,sue,psych) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f8]) ).
tff(f8,plain,
! [X0: '$ki_world'] :
( ? [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
& teach(X0,X1,cs) )
=> ( '$ki_exists_in_world_$i'(X0,sK0(X0))
& teach(X0,sK0(X0),cs) ) ),
introduced(choice_axiom,[]) ).
tff(f6,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ( teach(X0,mary,psych)
& ? [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
& teach(X0,X1,cs) )
& teach(X0,john,math)
& teach(X0,sue,psych) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( teach(X0,mary,psych)
& ? [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
& teach(X0,X1,cs) )
& teach(X0,john,math)
& teach(X0,sue,psych) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',db) ).
tff(f31,plain,
( ~ '$ki_exists_in_world_$i'(sK2,sK0(sK2))
| spl3_2 ),
inference(avatar_component_clause,[],[f29]) ).
tff(f34,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f33]) ).
tff(f33,plain,
( $false
| spl3_1 ),
inference(resolution,[],[f27,f20]) ).
tff(f20,plain,
'$ki_accessible'('$ki_local_world',sK2),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
( ! [X1] :
( ~ teach(sK2,X1,cs)
| ~ '$ki_exists_in_world_$i'(sK2,X1) )
& '$ki_accessible'('$ki_local_world',sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f7,f12]) ).
tff(f12,plain,
( ? [X0: '$ki_world'] :
( ! [X1] :
( ~ teach(X0,X1,cs)
| ~ '$ki_exists_in_world_$i'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) )
=> ( ! [X1] :
( ~ teach(sK2,X1,cs)
| ~ '$ki_exists_in_world_$i'(sK2,X1) )
& '$ki_accessible'('$ki_local_world',sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f7,plain,
? [X0: '$ki_world'] :
( ! [X1] :
( ~ teach(X0,X1,cs)
| ~ '$ki_exists_in_world_$i'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f5]) ).
tff(f5,negated_conjecture,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X1] :
( teach(X0,X1,cs)
& '$ki_exists_in_world_$i'(X0,X1) ) ),
inference(negated_conjecture,[],[f4]) ).
tff(f4,conjecture,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X1] :
( teach(X0,X1,cs)
& '$ki_exists_in_world_$i'(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f27,plain,
( ~ '$ki_accessible'('$ki_local_world',sK2)
| spl3_1 ),
inference(avatar_component_clause,[],[f25]) ).
tff(f32,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f23,f29,f25]) ).
tff(f23,plain,
( ~ '$ki_exists_in_world_$i'(sK2,sK0(sK2))
| ~ '$ki_accessible'('$ki_local_world',sK2) ),
inference(resolution,[],[f16,f21]) ).
tff(f21,plain,
! [X1: $i] :
( ~ teach(sK2,X1,cs)
| ~ '$ki_exists_in_world_$i'(sK2,X1) ),
inference(cnf_transformation,[],[f13]) ).
tff(f16,plain,
! [X0: '$ki_world'] :
( teach(X0,sK0(X0),cs)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : DAT334_8 : TPTP v8.2.0. Released v8.2.0.
% 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 : n001.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 May 22 11:37:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.45 % (28617)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.46 % (28617)First to succeed.
% 0.20/0.46 % (28607)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.46 % (28617)Refutation found. Thanks to Tanya!
% 0.20/0.46 % SZS status Theorem for theBenchmark
% 0.20/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46 % (28617)------------------------------
% 0.20/0.46 % (28617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.46 % (28617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.46 % (28617)Termination reason: Refutation
% 0.20/0.46
% 0.20/0.46 % (28617)Memory used [KB]: 5373
% 0.20/0.46 % (28617)Time elapsed: 0.077 s
% 0.20/0.46 % (28617)Instructions burned: 2 (million)
% 0.20/0.46 % (28617)------------------------------
% 0.20/0.46 % (28617)------------------------------
% 0.20/0.46 % (28606)Success in time 0.114 s
%------------------------------------------------------------------------------