TSTP Solution File: SYO901_11 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYO901_11 : 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 : n012.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 15:45:49 EDT 2023
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 51 ( 4 unt; 8 typ; 0 def)
% Number of atoms : 183 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 212 ( 72 ~; 72 |; 38 &)
% ( 11 <=>; 18 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 4 ( 3 >; 1 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 68 (; 51 !; 17 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_1,type,
sK0: '$ki_world' ).
tff(func_def_2,type,
sK1: '$ki_world' ).
tff(func_def_3,type,
sK2: '$ki_world' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
p: '$ki_world' > $o ).
tff(pred_def_3,type,
q: '$ki_world' > $o ).
tff(f61,plain,
$false,
inference(avatar_sat_refutation,[],[f31,f40,f49,f51,f53,f60]) ).
tff(f60,plain,
( ~ spl3_1
| spl3_3 ),
inference(avatar_contradiction_clause,[],[f59]) ).
tff(f59,plain,
( $false
| ~ spl3_1
| spl3_3 ),
inference(subsumption_resolution,[],[f54,f27]) ).
tff(f27,plain,
( ! [X4: '$ki_world'] : q(X4)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f26]) ).
tff(f26,plain,
( spl3_1
<=> ! [X4: '$ki_world'] : q(X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
tff(f54,plain,
( ~ q(sK2)
| spl3_3 ),
inference(unit_resulting_resolution,[],[f35,f42]) ).
tff(f42,plain,
! [X0: '$ki_world'] :
( ~ q(X0)
| p(X0) ),
inference(subsumption_resolution,[],[f20,f22]) ).
tff(f22,plain,
! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'(X1,X0),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'(X1,X0),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
! [X1: '$ki_world',X0: '$ki_world'] : '$ki_accessible'(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal) ).
tff(f20,plain,
! [X0: '$ki_world'] :
( p(X0)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ q(X0) ),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
( ! [X0: '$ki_world'] :
( ( ( q(X0)
| ~ p(X0) )
& ( p(X0)
| ~ q(X0) ) )
| ~ '$ki_accessible'('$ki_local_world',X0) )
& '$ki_accessible'('$ki_local_world',sK0)
& ( ( '$ki_accessible'(sK0,sK1)
& ~ q(sK1) )
| ( '$ki_accessible'(sK0,sK2)
& ~ p(sK2) ) )
& ( ! [X4: '$ki_world'] :
( ~ '$ki_accessible'(sK0,X4)
| q(X4) )
| ! [X5: '$ki_world'] :
( ~ '$ki_accessible'(sK0,X5)
| p(X5) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f8,f11,f10,f9]) ).
tff(f9,plain,
( ? [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
& ( ? [X2: '$ki_world'] :
( '$ki_accessible'(X1,X2)
& ~ q(X2) )
| ? [X3: '$ki_world'] :
( '$ki_accessible'(X1,X3)
& ~ p(X3) ) )
& ( ! [X4: '$ki_world'] :
( ~ '$ki_accessible'(X1,X4)
| q(X4) )
| ! [X5: '$ki_world'] :
( ~ '$ki_accessible'(X1,X5)
| p(X5) ) ) )
=> ( '$ki_accessible'('$ki_local_world',sK0)
& ( ? [X2: '$ki_world'] :
( '$ki_accessible'(sK0,X2)
& ~ q(X2) )
| ? [X3: '$ki_world'] :
( '$ki_accessible'(sK0,X3)
& ~ p(X3) ) )
& ( ! [X4: '$ki_world'] :
( ~ '$ki_accessible'(sK0,X4)
| q(X4) )
| ! [X5: '$ki_world'] :
( ~ '$ki_accessible'(sK0,X5)
| p(X5) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f10,plain,
( ? [X2: '$ki_world'] :
( '$ki_accessible'(sK0,X2)
& ~ q(X2) )
=> ( '$ki_accessible'(sK0,sK1)
& ~ q(sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f11,plain,
( ? [X3: '$ki_world'] :
( '$ki_accessible'(sK0,X3)
& ~ p(X3) )
=> ( '$ki_accessible'(sK0,sK2)
& ~ p(sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f8,plain,
( ! [X0: '$ki_world'] :
( ( ( q(X0)
| ~ p(X0) )
& ( p(X0)
| ~ q(X0) ) )
| ~ '$ki_accessible'('$ki_local_world',X0) )
& ? [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
& ( ? [X2: '$ki_world'] :
( '$ki_accessible'(X1,X2)
& ~ q(X2) )
| ? [X3: '$ki_world'] :
( '$ki_accessible'(X1,X3)
& ~ p(X3) ) )
& ( ! [X4: '$ki_world'] :
( ~ '$ki_accessible'(X1,X4)
| q(X4) )
| ! [X5: '$ki_world'] :
( ~ '$ki_accessible'(X1,X5)
| p(X5) ) ) ) ),
inference(rectify,[],[f7]) ).
tff(f7,plain,
( ! [X0: '$ki_world'] :
( ( ( q(X0)
| ~ p(X0) )
& ( p(X0)
| ~ q(X0) ) )
| ~ '$ki_accessible'('$ki_local_world',X0) )
& ? [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
& ( ? [X3: '$ki_world'] :
( '$ki_accessible'(X1,X3)
& ~ q(X3) )
| ? [X2: '$ki_world'] :
( '$ki_accessible'(X1,X2)
& ~ p(X2) ) )
& ( ! [X3: '$ki_world'] :
( ~ '$ki_accessible'(X1,X3)
| q(X3) )
| ! [X2: '$ki_world'] :
( ~ '$ki_accessible'(X1,X2)
| p(X2) ) ) ) ),
inference(flattening,[],[f6]) ).
tff(f6,plain,
( ! [X0: '$ki_world'] :
( ( ( q(X0)
| ~ p(X0) )
& ( p(X0)
| ~ q(X0) ) )
| ~ '$ki_accessible'('$ki_local_world',X0) )
& ? [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
& ( ? [X3: '$ki_world'] :
( '$ki_accessible'(X1,X3)
& ~ q(X3) )
| ? [X2: '$ki_world'] :
( '$ki_accessible'(X1,X2)
& ~ p(X2) ) )
& ( ! [X3: '$ki_world'] :
( ~ '$ki_accessible'(X1,X3)
| q(X3) )
| ! [X2: '$ki_world'] :
( ~ '$ki_accessible'(X1,X2)
| p(X2) ) ) ) ),
inference(nnf_transformation,[],[f5]) ).
tff(f5,plain,
( ! [X0: '$ki_world'] :
( ( q(X0)
<=> p(X0) )
| ~ '$ki_accessible'('$ki_local_world',X0) )
& ? [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
& ( ! [X2: '$ki_world'] :
( ~ '$ki_accessible'(X1,X2)
| p(X2) )
<~> ! [X3: '$ki_world'] :
( ~ '$ki_accessible'(X1,X3)
| q(X3) ) ) ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f4,plain,
~ ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( q(X0)
<=> p(X0) ) )
=> ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ( ! [X3: '$ki_world'] :
( '$ki_accessible'(X1,X3)
=> q(X3) )
<=> ! [X2: '$ki_world'] :
( '$ki_accessible'(X1,X2)
=> p(X2) ) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,negated_conjecture,
~ ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( q(X0)
<=> p(X0) ) )
=> ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( ! [X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
=> p(X2) )
<=> ! [X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
=> q(X2) ) ) ) ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( q(X0)
<=> p(X0) ) )
=> ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( ! [X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
=> p(X2) )
<=> ! [X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
=> q(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f35,plain,
( ~ p(sK2)
| spl3_3 ),
inference(avatar_component_clause,[],[f33]) ).
tff(f33,plain,
( spl3_3
<=> p(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
tff(f53,plain,
( ~ spl3_1
| spl3_4 ),
inference(avatar_contradiction_clause,[],[f52]) ).
tff(f52,plain,
( $false
| ~ spl3_1
| spl3_4 ),
inference(subsumption_resolution,[],[f39,f27]) ).
tff(f39,plain,
( ~ q(sK1)
| spl3_4 ),
inference(avatar_component_clause,[],[f37]) ).
tff(f37,plain,
( spl3_4
<=> q(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
tff(f51,plain,
( ~ spl3_2
| spl3_3 ),
inference(avatar_contradiction_clause,[],[f50]) ).
tff(f50,plain,
( $false
| ~ spl3_2
| spl3_3 ),
inference(subsumption_resolution,[],[f35,f30]) ).
tff(f30,plain,
( ! [X5: '$ki_world'] : p(X5)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f29]) ).
tff(f29,plain,
( spl3_2
<=> ! [X5: '$ki_world'] : p(X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
tff(f49,plain,
( ~ spl3_2
| spl3_4 ),
inference(avatar_contradiction_clause,[],[f48]) ).
tff(f48,plain,
( $false
| ~ spl3_2
| spl3_4 ),
inference(subsumption_resolution,[],[f43,f30]) ).
tff(f43,plain,
( ~ p(sK1)
| spl3_4 ),
inference(unit_resulting_resolution,[],[f39,f41]) ).
tff(f41,plain,
! [X0: '$ki_world'] :
( ~ p(X0)
| q(X0) ),
inference(subsumption_resolution,[],[f21,f22]) ).
tff(f21,plain,
! [X0: '$ki_world'] :
( ~ p(X0)
| ~ '$ki_accessible'('$ki_local_world',X0)
| q(X0) ),
inference(cnf_transformation,[],[f12]) ).
tff(f40,plain,
( ~ spl3_3
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f15,f37,f33]) ).
tff(f15,plain,
( ~ q(sK1)
| ~ p(sK2) ),
inference(cnf_transformation,[],[f12]) ).
tff(f31,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f24,f29,f26]) ).
tff(f24,plain,
! [X4: '$ki_world',X5: '$ki_world'] :
( p(X5)
| q(X4) ),
inference(subsumption_resolution,[],[f23,f22]) ).
tff(f23,plain,
! [X4: '$ki_world',X5: '$ki_world'] :
( ~ '$ki_accessible'(sK0,X4)
| q(X4)
| p(X5) ),
inference(subsumption_resolution,[],[f14,f22]) ).
tff(f14,plain,
! [X4: '$ki_world',X5: '$ki_world'] :
( ~ '$ki_accessible'(sK0,X5)
| p(X5)
| ~ '$ki_accessible'(sK0,X4)
| q(X4) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO901_11 : TPTP v8.2.0. Released v8.2.0.
% 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
% 0.13/0.34 % Computer : n012.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 13:08:44 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (21061)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.49 % (21057)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.49 % (21053)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50 % (21066)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)
% 0.19/0.50 % (21069)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (21061)First to succeed.
% 0.19/0.50 % (21056)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50 % (21057)Also succeeded, but the first one will report.
% 0.19/0.50 % (21061)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 % (21061)------------------------------
% 0.19/0.50 % (21061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (21061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (21061)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (21061)Memory used [KB]: 5884
% 0.19/0.50 % (21061)Time elapsed: 0.095 s
% 0.19/0.50 % (21061)Instructions burned: 2 (million)
% 0.19/0.50 % (21061)------------------------------
% 0.19/0.50 % (21061)------------------------------
% 0.19/0.50 % (21049)Success in time 0.15 s
%------------------------------------------------------------------------------