TSTP Solution File: SWV212+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV212+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : n029.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 18:44:31 EDT 2022
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 397 ( 376 equ)
% Maximal formula atoms : 78 ( 39 avg)
% Number of connectives : 640 ( 253 ~; 72 |; 309 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 47 ( 24 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 10 ( 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f296,plain,
$false,
inference(trivial_inequality_removal,[],[f276]) ).
fof(f276,plain,
( sK2 != sK2
| sK1 != sK1 ),
inference(definition_unfolding,[],[f187,f216,f215]) ).
fof(f215,plain,
n3 = sK1,
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
? [X0,X1] :
( ( n0 != X0
| n5 != X1 )
& leq(n0,X0)
& ( n0 != X0
| n4 != X1 )
& ( n1 != X0
| n2 != X1 )
& ( n4 != X1
| n2 != X0 )
& ( n0 != X1
| n1 != X0 )
& ( n3 != X1
| n0 != X0 )
& ( n4 != X0
| n0 != X1 )
& ( n4 != X0
| n3 != X1 )
& ( n3 != X1
| n2 != X0 )
& ( n5 != X1
| n1 != X0 )
& leq(X1,n5)
& ( n5 != X0
| n5 != X1 )
& ( n3 != X0
| n0 != X1 )
& n0 = X1
& ( n4 != X0
| n1 != X1 )
& n3 = X0
& ( n4 != X1
| n1 != X0 )
& n0 != times(divide(n1,n400),a_select2(sigma,n0))
& ( n3 != X0
| n5 != X1 )
& ( n4 != X0
| n4 != X1 )
& n0 = X0
& ( n5 != X0
| n2 != X1 )
& ( n1 != X0
| n3 != X1 )
& ( n2 != X1
| n0 != X0 )
& ( n1 != X1
| n0 != X0 )
& ( n1 != X1
| n3 != X0 )
& ( n2 != X0
| n5 != X1 )
& ( n2 != X0
| n0 != X1 )
& ( n5 != X0
| n1 != X1 )
& ( n2 != X1
| n3 != X0 )
& ( n3 != X1
| n3 != X0 )
& ( n2 != X0
| n1 != X1 )
& ( n3 != X0
| n4 != X1 )
& ( n5 != X0
| n3 != X1 )
& ( n2 != X0
| n2 != X1 )
& ( n1 != X1
| n1 != X0 )
& ( n2 != X1
| n4 != X0 )
& ( n0 != X1
| n5 != X0 )
& leq(n0,X1)
& ( n4 != X0
| n5 != X1 )
& leq(X0,n5)
& ( n4 != X1
| n5 != X0 ) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
? [X0,X1] :
( n0 != times(divide(n1,n400),a_select2(sigma,n0))
& ( n0 != X0
| n4 != X1 )
& ( n5 != X1
| n1 != X0 )
& ( n2 != X0
| n1 != X1 )
& ( n4 != X0
| n3 != X1 )
& ( n4 != X1
| n5 != X0 )
& ( n4 != X1
| n1 != X0 )
& ( n3 != X0
| n4 != X1 )
& ( n5 != X0
| n1 != X1 )
& ( n3 != X1
| n0 != X0 )
& ( n1 != X0
| n3 != X1 )
& n3 = X0
& ( n2 != X1
| n3 != X0 )
& ( n2 != X0
| n0 != X1 )
& ( n4 != X0
| n1 != X1 )
& ( n2 != X1
| n0 != X0 )
& ( n0 != X0
| n5 != X1 )
& ( n2 != X0
| n2 != X1 )
& ( n2 != X1
| n4 != X0 )
& ( n5 != X0
| n3 != X1 )
& ( n2 != X0
| n5 != X1 )
& ( n5 != X0
| n5 != X1 )
& ( n1 != X0
| n2 != X1 )
& ( n3 != X1
| n2 != X0 )
& ( n3 != X0
| n5 != X1 )
& n0 = X1
& ( n0 != X1
| n1 != X0 )
& ( n1 != X1
| n3 != X0 )
& ( n4 != X0
| n4 != X1 )
& ( n4 != X1
| n2 != X0 )
& ( n4 != X0
| n0 != X1 )
& ( n5 != X0
| n2 != X1 )
& ( n0 != X1
| n5 != X0 )
& ( n1 != X1
| n1 != X0 )
& ( n4 != X0
| n5 != X1 )
& ( n3 != X1
| n3 != X0 )
& n0 = X0
& ( n1 != X1
| n0 != X0 )
& ( n3 != X0
| n0 != X1 )
& leq(X0,n5)
& leq(n0,X0)
& leq(n0,X1)
& leq(X1,n5) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ! [X0,X1] :
( ( leq(X0,n5)
& leq(n0,X0)
& leq(n0,X1)
& leq(X1,n5) )
=> ( ( ~ ( n4 = X1
& n0 = X0 )
& ~ ( n5 = X1
& n1 = X0 )
& ~ ( n2 = X0
& n1 = X1 )
& ~ ( n4 = X0
& n3 = X1 )
& ~ ( n5 = X0
& n4 = X1 )
& ~ ( n1 = X0
& n4 = X1 )
& ~ ( n4 = X1
& n3 = X0 )
& ~ ( n5 = X0
& n1 = X1 )
& ~ ( n0 = X0
& n3 = X1 )
& ~ ( n3 = X1
& n1 = X0 )
& n3 = X0
& ~ ( n3 = X0
& n2 = X1 )
& ~ ( n0 = X1
& n2 = X0 )
& ~ ( n4 = X0
& n1 = X1 )
& ~ ( n2 = X1
& n0 = X0 )
& ~ ( n5 = X1
& n0 = X0 )
& ~ ( n2 = X1
& n2 = X0 )
& ~ ( n4 = X0
& n2 = X1 )
& ~ ( n3 = X1
& n5 = X0 )
& ~ ( n2 = X0
& n5 = X1 )
& ~ ( n5 = X0
& n5 = X1 )
& ~ ( n1 = X0
& n2 = X1 )
& ~ ( n2 = X0
& n3 = X1 )
& ~ ( n5 = X1
& n3 = X0 )
& n0 = X1
& ~ ( n0 = X1
& n1 = X0 )
& ~ ( n3 = X0
& n1 = X1 )
& ~ ( n4 = X1
& n4 = X0 )
& ~ ( n4 = X1
& n2 = X0 )
& ~ ( n4 = X0
& n0 = X1 )
& ~ ( n5 = X0
& n2 = X1 )
& ~ ( n5 = X0
& n0 = X1 )
& ~ ( n1 = X0
& n1 = X1 )
& ~ ( n4 = X0
& n5 = X1 )
& ~ ( n3 = X1
& n3 = X0 )
& n0 = X0
& ~ ( n1 = X1
& n0 = X0 )
& ~ ( n0 = X1
& n3 = X0 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ! [X13,X17] :
( ( leq(X13,n5)
& leq(X17,n5)
& leq(n0,X17)
& leq(n0,X13) )
=> ( ( ~ ( n3 = X17
& n5 = X13 )
& ~ ( n0 = X13
& n1 = X17 )
& ~ ( n4 = X13
& n2 = X17 )
& ~ ( n0 = X17
& n5 = X13 )
& n3 = X13
& ~ ( n0 = X17
& n2 = X13 )
& ~ ( n1 = X13
& n1 = X17 )
& ~ ( n2 = X17
& n2 = X13 )
& ~ ( n4 = X17
& n2 = X13 )
& ~ ( n0 = X13
& n2 = X17 )
& ~ ( n2 = X13
& n5 = X17 )
& ~ ( n1 = X13
& n2 = X17 )
& ~ ( n4 = X17
& n3 = X13 )
& ~ ( n3 = X17
& n2 = X13 )
& ~ ( n2 = X13
& n1 = X17 )
& ~ ( n4 = X17
& n4 = X13 )
& ~ ( n4 = X13
& n0 = X17 )
& n0 = X17
& n0 = X13
& ~ ( n3 = X13
& n2 = X17 )
& ~ ( n3 = X13
& n1 = X17 )
& ~ ( n5 = X17
& n3 = X13 )
& ~ ( n4 = X13
& n1 = X17 )
& ~ ( n1 = X13
& n3 = X17 )
& ~ ( n4 = X13
& n5 = X17 )
& ~ ( n3 = X13
& n0 = X17 )
& ~ ( n3 = X17
& n0 = X13 )
& ~ ( n4 = X17
& n5 = X13 )
& ~ ( n1 = X13
& n4 = X17 )
& ~ ( n3 = X13
& n3 = X17 )
& ~ ( n5 = X13
& n5 = X17 )
& ~ ( n0 = X13
& n5 = X17 )
& ~ ( n2 = X17
& n5 = X13 )
& ~ ( n1 = X17
& n5 = X13 )
& ~ ( n1 = X13
& n5 = X17 )
& ~ ( n3 = X17
& n4 = X13 )
& ~ ( n0 = X13
& n4 = X17 )
& ~ ( n0 = X17
& n1 = X13 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
! [X13,X17] :
( ( leq(X13,n5)
& leq(X17,n5)
& leq(n0,X17)
& leq(n0,X13) )
=> ( ( ~ ( n3 = X17
& n5 = X13 )
& ~ ( n0 = X13
& n1 = X17 )
& ~ ( n4 = X13
& n2 = X17 )
& ~ ( n0 = X17
& n5 = X13 )
& n3 = X13
& ~ ( n0 = X17
& n2 = X13 )
& ~ ( n1 = X13
& n1 = X17 )
& ~ ( n2 = X17
& n2 = X13 )
& ~ ( n4 = X17
& n2 = X13 )
& ~ ( n0 = X13
& n2 = X17 )
& ~ ( n2 = X13
& n5 = X17 )
& ~ ( n1 = X13
& n2 = X17 )
& ~ ( n4 = X17
& n3 = X13 )
& ~ ( n3 = X17
& n2 = X13 )
& ~ ( n2 = X13
& n1 = X17 )
& ~ ( n4 = X17
& n4 = X13 )
& ~ ( n4 = X13
& n0 = X17 )
& n0 = X17
& n0 = X13
& ~ ( n3 = X13
& n2 = X17 )
& ~ ( n3 = X13
& n1 = X17 )
& ~ ( n5 = X17
& n3 = X13 )
& ~ ( n4 = X13
& n1 = X17 )
& ~ ( n1 = X13
& n3 = X17 )
& ~ ( n4 = X13
& n5 = X17 )
& ~ ( n3 = X13
& n0 = X17 )
& ~ ( n3 = X17
& n0 = X13 )
& ~ ( n4 = X17
& n5 = X13 )
& ~ ( n1 = X13
& n4 = X17 )
& ~ ( n3 = X13
& n3 = X17 )
& ~ ( n5 = X13
& n5 = X17 )
& ~ ( n0 = X13
& n5 = X17 )
& ~ ( n2 = X17
& n5 = X13 )
& ~ ( n1 = X17
& n5 = X13 )
& ~ ( n1 = X13
& n5 = X17 )
& ~ ( n3 = X17
& n4 = X13 )
& ~ ( n0 = X13
& n4 = X17 )
& ~ ( n0 = X17
& n1 = X13 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0041) ).
fof(f216,plain,
n0 = sK2,
inference(cnf_transformation,[],[f129]) ).
fof(f187,plain,
( n0 != sK2
| n3 != sK1 ),
inference(cnf_transformation,[],[f129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV212+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 19:16:42 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.52 % (4986)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.53 % (4986)First to succeed.
% 0.21/0.53 % (4978)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.54 % (4986)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (4986)------------------------------
% 0.21/0.54 % (4986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (4986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (4986)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (4986)Memory used [KB]: 6140
% 0.21/0.54 % (4986)Time elapsed: 0.007 s
% 0.21/0.54 % (4986)Instructions burned: 4 (million)
% 0.21/0.54 % (4986)------------------------------
% 0.21/0.54 % (4986)------------------------------
% 0.21/0.54 % (4977)Success in time 0.179 s
%------------------------------------------------------------------------------