TSTP Solution File: SWC036+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC036+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n023.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 18:38:21 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 68 ( 59 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 79 ( 28 ~; 19 |; 23 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 24 ( 12 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f113,plain,
$false,
inference(subsumption_resolution,[],[f111,f112]) ).
fof(f112,plain,
sK1 = sK3,
inference(trivial_inequality_removal,[],[f110]) ).
fof(f110,plain,
( sK1 = sK3
| sK1 != sK1 ),
inference(definition_unfolding,[],[f107,f109,f109,f104]) ).
fof(f104,plain,
sK0 = sK3,
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( sK2 = sK1
& ( nil != sK1
| nil = sK0 )
& nil != sK3
& nil = sK2
& sK0 = sK3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f101,f102]) ).
fof(f102,plain,
( ? [X0,X1,X2,X3] :
( X1 = X2
& ( nil != X1
| nil = X0 )
& nil != X3
& nil = X2
& X0 = X3 )
=> ( sK2 = sK1
& ( nil != sK1
| nil = sK0 )
& nil != sK3
& nil = sK2
& sK0 = sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
? [X0,X1,X2,X3] :
( X1 = X2
& ( nil != X1
| nil = X0 )
& nil != X3
& nil = X2
& X0 = X3 ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
? [X2,X3,X1,X0] :
( X1 = X3
& ( nil != X3
| nil = X2 )
& nil != X0
& nil = X1
& X0 = X2 ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0,X1,X2,X3] :
( X1 != X3
| nil != X1
| X0 != X2
| ( nil != X2
& nil = X3 )
| nil = X0 ),
inference(pure_predicate_removal,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| nil != X1
| X0 != X2
| ( nil != X2
& nil = X3 )
| nil = X0 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| nil != X1
| X0 != X2
| ( nil != X2
& nil = X3 )
| nil = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f109,plain,
nil = sK1,
inference(definition_unfolding,[],[f105,f108]) ).
fof(f108,plain,
sK2 = sK1,
inference(cnf_transformation,[],[f103]) ).
fof(f105,plain,
nil = sK2,
inference(cnf_transformation,[],[f103]) ).
fof(f107,plain,
( nil != sK1
| nil = sK0 ),
inference(cnf_transformation,[],[f103]) ).
fof(f111,plain,
sK1 != sK3,
inference(definition_unfolding,[],[f106,f109]) ).
fof(f106,plain,
nil != sK3,
inference(cnf_transformation,[],[f103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC036+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 18:26:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.49 % (6675)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)
% 0.20/0.49 % (6675)First to succeed.
% 0.20/0.49 % (6683)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)
% 0.20/0.50 % (6675)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (6675)------------------------------
% 0.20/0.50 % (6675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (6675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (6675)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (6675)Memory used [KB]: 6012
% 0.20/0.50 % (6675)Time elapsed: 0.005 s
% 0.20/0.50 % (6675)Instructions burned: 2 (million)
% 0.20/0.50 % (6675)------------------------------
% 0.20/0.50 % (6675)------------------------------
% 0.20/0.50 % (6667)Success in time 0.153 s
%------------------------------------------------------------------------------