TSTP Solution File: SWV220+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV220+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 : n002.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 18:44:32 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 319 ( 286 equ)
% Maximal formula atoms : 78 ( 26 avg)
% Number of connectives : 513 ( 206 ~; 77 |; 223 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 16 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 : 12 ( 6 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f253,plain,
$false,
inference(trivial_inequality_removal,[],[f223]) ).
fof(f223,plain,
( sK1 != sK1
| sK0 != sK0 ),
inference(definition_unfolding,[],[f148,f156,f150]) ).
fof(f150,plain,
n5 = sK1,
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( n1 = sK0
& ( n1 != sK1
| n4 != sK0 )
& leq(sK0,n5)
& ( n5 != sK0
| n5 != sK1 )
& ( n3 != sK1
| n4 != sK0 )
& n3 = sK0
& n3 = sK1
& n0 != times(divide(n1,n400),a_select2(sigma,n3))
& ( n0 != sK1
| n5 != sK0 )
& ( n5 != sK0
| n4 != sK1 )
& ( n5 != sK0
| n2 != sK1 )
& n5 = sK1
& leq(n0,sK1)
& ( n3 != sK0
| n5 != sK1 )
& ( n5 != sK1
| n4 != sK0 )
& ( n4 != sK0
| n2 != sK1 )
& ( n5 != sK0
| n1 != sK1 )
& ( n5 != sK1
| n2 != sK0 )
& ( n3 != sK1
| n5 != sK0 )
& ( n3 != sK0
| n4 != sK1 )
& leq(sK1,n5)
& ( n4 != sK1
| n4 != sK0 )
& leq(n0,sK0)
& ( n0 != sK1
| n4 != sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f107,f122]) ).
fof(f122,plain,
( ? [X0,X1] :
( n1 = X0
& ( n1 != X1
| n4 != X0 )
& leq(X0,n5)
& ( n5 != X0
| n5 != X1 )
& ( n3 != X1
| n4 != X0 )
& n3 = X0
& n3 = X1
& n0 != times(divide(n1,n400),a_select2(sigma,n3))
& ( n0 != X1
| n5 != X0 )
& ( n5 != X0
| n4 != X1 )
& ( n5 != X0
| n2 != X1 )
& n5 = X1
& leq(n0,X1)
& ( n3 != X0
| n5 != X1 )
& ( n5 != X1
| n4 != X0 )
& ( n4 != X0
| n2 != X1 )
& ( n5 != X0
| n1 != X1 )
& ( n5 != X1
| n2 != X0 )
& ( n3 != X1
| n5 != X0 )
& ( n3 != X0
| n4 != X1 )
& leq(X1,n5)
& ( n4 != X1
| n4 != X0 )
& leq(n0,X0)
& ( n0 != X1
| n4 != X0 ) )
=> ( n1 = sK0
& ( n1 != sK1
| n4 != sK0 )
& leq(sK0,n5)
& ( n5 != sK0
| n5 != sK1 )
& ( n3 != sK1
| n4 != sK0 )
& n3 = sK0
& n3 = sK1
& n0 != times(divide(n1,n400),a_select2(sigma,n3))
& ( n0 != sK1
| n5 != sK0 )
& ( n5 != sK0
| n4 != sK1 )
& ( n5 != sK0
| n2 != sK1 )
& n5 = sK1
& leq(n0,sK1)
& ( n3 != sK0
| n5 != sK1 )
& ( n5 != sK1
| n4 != sK0 )
& ( n4 != sK0
| n2 != sK1 )
& ( n5 != sK0
| n1 != sK1 )
& ( n5 != sK1
| n2 != sK0 )
& ( n3 != sK1
| n5 != sK0 )
& ( n3 != sK0
| n4 != sK1 )
& leq(sK1,n5)
& ( n4 != sK1
| n4 != sK0 )
& leq(n0,sK0)
& ( n0 != sK1
| n4 != sK0 ) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
? [X0,X1] :
( n1 = X0
& ( n1 != X1
| n4 != X0 )
& leq(X0,n5)
& ( n5 != X0
| n5 != X1 )
& ( n3 != X1
| n4 != X0 )
& n3 = X0
& n3 = X1
& n0 != times(divide(n1,n400),a_select2(sigma,n3))
& ( n0 != X1
| n5 != X0 )
& ( n5 != X0
| n4 != X1 )
& ( n5 != X0
| n2 != X1 )
& n5 = X1
& leq(n0,X1)
& ( n3 != X0
| n5 != X1 )
& ( n5 != X1
| n4 != X0 )
& ( n4 != X0
| n2 != X1 )
& ( n5 != X0
| n1 != X1 )
& ( n5 != X1
| n2 != X0 )
& ( n3 != X1
| n5 != X0 )
& ( n3 != X0
| n4 != X1 )
& leq(X1,n5)
& ( n4 != X1
| n4 != X0 )
& leq(n0,X0)
& ( n0 != X1
| n4 != X0 ) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
? [X0,X1] :
( n0 != times(divide(n1,n400),a_select2(sigma,n3))
& ( n4 != X0
| n2 != X1 )
& n3 = X0
& ( n1 != X1
| n4 != X0 )
& ( n5 != X1
| n2 != X0 )
& n5 = X1
& ( n5 != X0
| n4 != X1 )
& ( n0 != X1
| n5 != X0 )
& ( n3 != X1
| n5 != X0 )
& ( n3 != X0
| n5 != X1 )
& ( n0 != X1
| n4 != X0 )
& ( n5 != X0
| n2 != X1 )
& ( n3 != X0
| n4 != X1 )
& ( n5 != X0
| n1 != X1 )
& n1 = X0
& ( n3 != X1
| n4 != X0 )
& n3 = X1
& ( n4 != X1
| n4 != X0 )
& ( n5 != X0
| n5 != X1 )
& ( n5 != X1
| n4 != X0 )
& leq(n0,X0)
& leq(n0,X1)
& leq(X1,n5)
& leq(X0,n5) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X1,n5)
& leq(X0,n5) )
=> ( ( ~ ( n2 = X1
& n4 = X0 )
& n3 = X0
& ~ ( n1 = X1
& n4 = X0 )
& ~ ( n2 = X0
& n5 = X1 )
& n5 = X1
& ~ ( n5 = X0
& n4 = X1 )
& ~ ( n5 = X0
& n0 = X1 )
& ~ ( n3 = X1
& n5 = X0 )
& ~ ( n5 = X1
& n3 = X0 )
& ~ ( n4 = X0
& n0 = X1 )
& ~ ( n5 = X0
& n2 = X1 )
& ~ ( n3 = X0
& n4 = X1 )
& ~ ( n5 = X0
& n1 = X1 )
& n1 = X0
& ~ ( n4 = X0
& n3 = X1 )
& n3 = X1
& ~ ( n4 = X1
& n4 = X0 )
& ~ ( n5 = X0
& n5 = X1 )
& ~ ( n4 = X0
& n5 = X1 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n3)) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ! [X13,X17] :
( ( leq(X17,n5)
& leq(n0,X17)
& leq(X13,n5)
& leq(n0,X13) )
=> ( ( ~ ( n5 = X13
& n2 = X17 )
& ~ ( n4 = X17
& n4 = X13 )
& ~ ( n4 = X13
& n0 = X17 )
& ~ ( n1 = X17
& n4 = X13 )
& ~ ( n4 = X13
& n2 = X17 )
& ~ ( n5 = X17
& n3 = X13 )
& ~ ( n5 = X13
& n3 = X17 )
& n5 = X17
& n1 = X13
& ~ ( n1 = X17
& n5 = X13 )
& ~ ( n5 = X13
& n5 = X17 )
& ~ ( n5 = X13
& n4 = X17 )
& ~ ( n3 = X17
& n4 = X13 )
& n3 = X13
& ~ ( n5 = X17
& n4 = X13 )
& ~ ( n5 = X13
& n0 = X17 )
& n3 = X17
& ~ ( n4 = X17
& n3 = X13 )
& ~ ( n2 = X13
& n5 = X17 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n3)) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
! [X13,X17] :
( ( leq(X17,n5)
& leq(n0,X17)
& leq(X13,n5)
& leq(n0,X13) )
=> ( ( ~ ( n5 = X13
& n2 = X17 )
& ~ ( n4 = X17
& n4 = X13 )
& ~ ( n4 = X13
& n0 = X17 )
& ~ ( n1 = X17
& n4 = X13 )
& ~ ( n4 = X13
& n2 = X17 )
& ~ ( n5 = X17
& n3 = X13 )
& ~ ( n5 = X13
& n3 = X17 )
& n5 = X17
& n1 = X13
& ~ ( n1 = X17
& n5 = X13 )
& ~ ( n5 = X13
& n5 = X17 )
& ~ ( n5 = X13
& n4 = X17 )
& ~ ( n3 = X17
& n4 = X13 )
& n3 = X13
& ~ ( n5 = X17
& n4 = X13 )
& ~ ( n5 = X13
& n0 = X17 )
& n3 = X17
& ~ ( n4 = X17
& n3 = X13 )
& ~ ( n2 = X13
& n5 = X17 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0361) ).
fof(f156,plain,
n3 = sK0,
inference(cnf_transformation,[],[f123]) ).
fof(f148,plain,
( n3 != sK0
| n5 != sK1 ),
inference(cnf_transformation,[],[f123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV220+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 19:19:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (20662)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)
% 0.19/0.51 % (20669)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)
% 0.19/0.51 % (20662)First to succeed.
% 0.19/0.51 % (20662)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (20662)------------------------------
% 0.19/0.51 % (20662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (20662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (20662)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (20662)Memory used [KB]: 1535
% 0.19/0.51 % (20662)Time elapsed: 0.004 s
% 0.19/0.51 % (20662)Instructions burned: 3 (million)
% 0.19/0.51 % (20662)------------------------------
% 0.19/0.51 % (20662)------------------------------
% 0.19/0.51 % (20656)Success in time 0.168 s
%------------------------------------------------------------------------------