TSTP Solution File: SET027+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET027+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : n017.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 18:18:32 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 73 ( 26 ~; 14 |; 23 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 51 ( 36 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f106,plain,
$false,
inference(subsumption_resolution,[],[f100,f98]) ).
fof(f98,plain,
~ member(sK3(sK0,sK1),sK2),
inference(unit_resulting_resolution,[],[f61,f89,f66]) ).
fof(f66,plain,
! [X3,X0,X1] :
( member(X3,X0)
| ~ member(X3,X1)
| ~ subclass(X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ( subclass(X1,X0)
| ( member(sK3(X0,X1),X1)
& ~ member(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( ~ member(X3,X1)
| member(X3,X0) )
| ~ subclass(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f57,f58]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) )
=> ( member(sK3(X0,X1),X1)
& ~ member(sK3(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1] :
( ( subclass(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) )
& ( ! [X3] :
( ~ member(X3,X1)
| member(X3,X0) )
| ~ subclass(X1,X0) ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ( subclass(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) )
& ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subclass(X1,X0) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( subclass(X1,X0)
<=> ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
<=> subclass(X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_defn) ).
fof(f89,plain,
~ member(sK3(sK0,sK1),sK0),
inference(unit_resulting_resolution,[],[f62,f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ member(sK3(X0,X1),X0)
| subclass(X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f62,plain,
~ subclass(sK1,sK0),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ~ subclass(sK1,sK0)
& subclass(sK2,sK0)
& subclass(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f51,f52]) ).
fof(f52,plain,
( ? [X0,X1,X2] :
( ~ subclass(X1,X0)
& subclass(X2,X0)
& subclass(X1,X2) )
=> ( ~ subclass(sK1,sK0)
& subclass(sK2,sK0)
& subclass(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
? [X0,X1,X2] :
( ~ subclass(X1,X0)
& subclass(X2,X0)
& subclass(X1,X2) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
? [X0,X2,X1] :
( ~ subclass(X2,X0)
& subclass(X1,X0)
& subclass(X2,X1) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
? [X0,X2,X1] :
( ~ subclass(X2,X0)
& subclass(X1,X0)
& subclass(X2,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X0,X2,X1] :
( ( subclass(X1,X0)
& subclass(X2,X1) )
=> subclass(X2,X0) ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X4,X1,X0] :
( ( subclass(X1,X4)
& subclass(X0,X1) )
=> subclass(X0,X4) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X4,X1,X0] :
( ( subclass(X1,X4)
& subclass(X0,X1) )
=> subclass(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(f61,plain,
subclass(sK2,sK0),
inference(cnf_transformation,[],[f53]) ).
fof(f100,plain,
member(sK3(sK0,sK1),sK2),
inference(unit_resulting_resolution,[],[f60,f90,f66]) ).
fof(f90,plain,
member(sK3(sK0,sK1),sK1),
inference(resolution,[],[f62,f68]) ).
fof(f68,plain,
! [X0,X1] :
( member(sK3(X0,X1),X1)
| subclass(X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f60,plain,
subclass(sK1,sK2),
inference(cnf_transformation,[],[f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET027+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 12:21:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (18895)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.49 % (18881)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49 % (18871)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 % (18873)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.50 % (18878)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50 % (18866)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50 % (18895)Instruction limit reached!
% 0.19/0.50 % (18895)------------------------------
% 0.19/0.50 % (18895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (18881)Instruction limit reached!
% 0.19/0.50 % (18881)------------------------------
% 0.19/0.50 % (18881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (18881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (18873)First to succeed.
% 0.19/0.50 % (18895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (18881)Termination reason: Unknown
% 0.19/0.50 % (18881)Termination phase: Saturation
% 0.19/0.50 % (18895)Termination reason: Unknown
% 0.19/0.50
% 0.19/0.50 % (18895)Termination phase: Saturation
% 0.19/0.50 % (18881)Memory used [KB]: 6140
% 0.19/0.50
% 0.19/0.50 % (18895)Memory used [KB]: 6140
% 0.19/0.50 % (18881)Time elapsed: 0.010 s
% 0.19/0.50 % (18895)Time elapsed: 0.057 s
% 0.19/0.50 % (18881)Instructions burned: 8 (million)
% 0.19/0.50 % (18895)Instructions burned: 9 (million)
% 0.19/0.50 % (18881)------------------------------
% 0.19/0.50 % (18881)------------------------------
% 0.19/0.50 % (18895)------------------------------
% 0.19/0.50 % (18895)------------------------------
% 0.19/0.50 % (18867)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 % (18871)Refutation not found, incomplete strategy% (18871)------------------------------
% 0.19/0.50 % (18871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (18873)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 % (18873)------------------------------
% 0.19/0.50 % (18873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (18873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (18873)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (18873)Memory used [KB]: 6012
% 0.19/0.50 % (18873)Time elapsed: 0.061 s
% 0.19/0.50 % (18873)Instructions burned: 2 (million)
% 0.19/0.50 % (18873)------------------------------
% 0.19/0.50 % (18873)------------------------------
% 0.19/0.50 % (18865)Success in time 0.157 s
%------------------------------------------------------------------------------