TSTP Solution File: NUM405+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM405+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n024.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 17:59:21 EDT 2022
% Result : Theorem 0.20s 0.58s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 4 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 104 ( 44 ~; 37 |; 15 &)
% ( 2 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 46 ( 37 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f95,plain,
$false,
inference(subsumption_resolution,[],[f92,f79]) ).
fof(f79,plain,
! [X3] : ordinal(sK4(sK2(X3))),
inference(duplicate_literal_removal,[],[f78]) ).
fof(f78,plain,
! [X3] :
( ordinal(sK4(sK2(X3)))
| ordinal(sK4(sK2(X3))) ),
inference(resolution,[],[f61,f56]) ).
fof(f56,plain,
! [X2,X0] :
( ~ in(X2,sK2(X0))
| ordinal(X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X2] :
( ( in(X2,sK2(X0))
| ~ in(X2,X0)
| ~ ordinal(X2) )
& ( ( in(X2,X0)
& ordinal(X2) )
| ~ in(X2,sK2(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f45,f46]) ).
fof(f46,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( in(X2,X1)
| ~ in(X2,X0)
| ~ ordinal(X2) )
& ( ( in(X2,X0)
& ordinal(X2) )
| ~ in(X2,X1) ) )
=> ! [X2] :
( ( in(X2,sK2(X0))
| ~ in(X2,X0)
| ~ ordinal(X2) )
& ( ( in(X2,X0)
& ordinal(X2) )
| ~ in(X2,sK2(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0] :
? [X1] :
! [X2] :
( ( in(X2,X1)
| ~ in(X2,X0)
| ~ ordinal(X2) )
& ( ( in(X2,X0)
& ordinal(X2) )
| ~ in(X2,X1) ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0] :
? [X1] :
! [X2] :
( ( in(X2,X1)
| ~ in(X2,X0)
| ~ ordinal(X2) )
& ( ( in(X2,X0)
& ordinal(X2) )
| ~ in(X2,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
? [X1] :
! [X2] :
( in(X2,X1)
<=> ( in(X2,X0)
& ordinal(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e2_43__ordinal1) ).
fof(f61,plain,
! [X0] :
( in(sK4(X0),X0)
| ordinal(sK4(X0)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( ~ ordinal(sK4(X0))
| ~ in(sK4(X0),X0) )
& ( ordinal(sK4(X0))
| in(sK4(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f50,f51]) ).
fof(f51,plain,
! [X0] :
( ? [X1] :
( ( ~ ordinal(X1)
| ~ in(X1,X0) )
& ( ordinal(X1)
| in(X1,X0) ) )
=> ( ( ~ ordinal(sK4(X0))
| ~ in(sK4(X0),X0) )
& ( ordinal(sK4(X0))
| in(sK4(X0),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0] :
? [X1] :
( ( ~ ordinal(X1)
| ~ in(X1,X0) )
& ( ordinal(X1)
| in(X1,X0) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
? [X1] :
( in(X1,X0)
<~> ordinal(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
~ ! [X1] :
( ordinal(X1)
<=> in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_ordinal1) ).
fof(f92,plain,
~ ordinal(sK4(sK2(sK3))),
inference(resolution,[],[f91,f60]) ).
fof(f60,plain,
! [X1] :
( in(X1,sK3)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X1] :
( in(X1,sK3)
| ~ ordinal(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f39,f48]) ).
fof(f48,plain,
( ? [X0] :
! [X1] :
( in(X1,X0)
| ~ ordinal(X1) )
=> ! [X1] :
( in(X1,sK3)
| ~ ordinal(X1) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
? [X0] :
! [X1] :
( in(X1,X0)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X0] :
~ ! [X1] :
( ordinal(X1)
=> in(X1,X0) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X0] :
~ ! [X1] :
( ordinal(X1)
=> in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_ordinal1) ).
fof(f91,plain,
! [X9] : ~ in(sK4(sK2(X9)),X9),
inference(subsumption_resolution,[],[f90,f79]) ).
fof(f90,plain,
! [X9] :
( ~ in(sK4(sK2(X9)),X9)
| ~ ordinal(sK4(sK2(X9))) ),
inference(duplicate_literal_removal,[],[f89]) ).
fof(f89,plain,
! [X9] :
( ~ in(sK4(sK2(X9)),X9)
| ~ ordinal(sK4(sK2(X9)))
| ~ ordinal(sK4(sK2(X9))) ),
inference(resolution,[],[f58,f62]) ).
fof(f62,plain,
! [X0] :
( ~ in(sK4(X0),X0)
| ~ ordinal(sK4(X0)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f58,plain,
! [X2,X0] :
( in(X2,sK2(X0))
| ~ ordinal(X2)
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM405+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 06:31:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.58 % (3104)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.58 % (3104)First to succeed.
% 0.20/0.58 % (3104)Refutation found. Thanks to Tanya!
% 0.20/0.58 % SZS status Theorem for theBenchmark
% 0.20/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58 % (3104)------------------------------
% 0.20/0.58 % (3104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (3104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (3104)Termination reason: Refutation
% 0.20/0.58
% 0.20/0.58 % (3104)Memory used [KB]: 5884
% 0.20/0.58 % (3104)Time elapsed: 0.140 s
% 0.20/0.58 % (3104)Instructions burned: 2 (million)
% 0.20/0.58 % (3104)------------------------------
% 0.20/0.58 % (3104)------------------------------
% 0.20/0.58 % (3097)Success in time 0.223 s
%------------------------------------------------------------------------------