TSTP Solution File: SWV220+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV220+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 : 600s
% DateTime : Wed Jul 20 20:30:31 EDT 2022
% Result : Theorem 0.18s 0.58s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 201 ( 179 equ)
% Maximal formula atoms : 39 ( 20 avg)
% Number of connectives : 301 ( 110 ~; 31 |; 156 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 14 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 : 8 ( 0 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0361,conjecture,
! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> ( ( ~ ( n0 = B
& n4 = A )
& ~ ( n0 = B
& n5 = A )
& ~ ( n1 = B
& n4 = A )
& ~ ( n1 = B
& n5 = A )
& ~ ( n2 = A
& n5 = B )
& ~ ( n2 = B
& n4 = A )
& ~ ( n2 = B
& n5 = A )
& ~ ( n3 = A
& n4 = B )
& ~ ( n3 = A
& n5 = B )
& ~ ( n3 = B
& n4 = A )
& ~ ( n3 = B
& n5 = A )
& ~ ( n4 = A
& n4 = B )
& ~ ( n4 = A
& n5 = B )
& ~ ( n4 = B
& n5 = A )
& ~ ( n5 = A
& n5 = B )
& n1 = A
& n3 = A
& n3 = B
& n5 = B )
=> times(divide(n1,n400),a_select2(sigma,n3)) = n0 ) ) ).
fof(subgoal_0,plain,
! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5)
& ~ ( n0 = B
& n4 = A )
& ~ ( n0 = B
& n5 = A )
& ~ ( n1 = B
& n4 = A )
& ~ ( n1 = B
& n5 = A )
& ~ ( n2 = A
& n5 = B )
& ~ ( n2 = B
& n4 = A )
& ~ ( n2 = B
& n5 = A )
& ~ ( n3 = A
& n4 = B )
& ~ ( n3 = A
& n5 = B )
& ~ ( n3 = B
& n4 = A )
& ~ ( n3 = B
& n5 = A )
& ~ ( n4 = A
& n4 = B )
& ~ ( n4 = A
& n5 = B )
& ~ ( n4 = B
& n5 = A )
& ~ ( n5 = A
& n5 = B )
& n1 = A
& n3 = A
& n3 = B
& n5 = B )
=> times(divide(n1,n400),a_select2(sigma,n3)) = n0 ),
inference(strip,[],[quaternion_ds1_symm_0361]) ).
fof(negate_0_0,plain,
~ ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5)
& ~ ( n0 = B
& n4 = A )
& ~ ( n0 = B
& n5 = A )
& ~ ( n1 = B
& n4 = A )
& ~ ( n1 = B
& n5 = A )
& ~ ( n2 = A
& n5 = B )
& ~ ( n2 = B
& n4 = A )
& ~ ( n2 = B
& n5 = A )
& ~ ( n3 = A
& n4 = B )
& ~ ( n3 = A
& n5 = B )
& ~ ( n3 = B
& n4 = A )
& ~ ( n3 = B
& n5 = A )
& ~ ( n4 = A
& n4 = B )
& ~ ( n4 = A
& n5 = B )
& ~ ( n4 = B
& n5 = A )
& ~ ( n5 = A
& n5 = B )
& n1 = A
& n3 = A
& n3 = B
& n5 = B )
=> times(divide(n1,n400),a_select2(sigma,n3)) = n0 ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B] :
( times(divide(n1,n400),a_select2(sigma,n3)) != n0
& n1 = A
& n3 = A
& n3 = B
& n5 = B
& leq(A,n5)
& leq(B,n5)
& leq(n0,A)
& leq(n0,B)
& ( n0 != B
| n4 != A )
& ( n0 != B
| n5 != A )
& ( n1 != B
| n4 != A )
& ( n1 != B
| n5 != A )
& ( n2 != A
| n5 != B )
& ( n2 != B
| n4 != A )
& ( n2 != B
| n5 != A )
& ( n3 != A
| n4 != B )
& ( n3 != A
| n5 != B )
& ( n3 != B
| n4 != A )
& ( n3 != B
| n5 != A )
& ( n4 != A
| n4 != B )
& ( n4 != A
| n5 != B )
& ( n4 != B
| n5 != A )
& ( n5 != A
| n5 != B ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( times(divide(n1,n400),a_select2(sigma,n3)) != n0
& n1 = skolemFOFtoCNF_A
& n3 = skolemFOFtoCNF_A
& n3 = skolemFOFtoCNF_B
& n5 = skolemFOFtoCNF_B
& leq(n0,skolemFOFtoCNF_A)
& leq(n0,skolemFOFtoCNF_B)
& leq(skolemFOFtoCNF_A,n5)
& leq(skolemFOFtoCNF_B,n5)
& ( n0 != skolemFOFtoCNF_B
| n4 != skolemFOFtoCNF_A )
& ( n0 != skolemFOFtoCNF_B
| n5 != skolemFOFtoCNF_A )
& ( n1 != skolemFOFtoCNF_B
| n4 != skolemFOFtoCNF_A )
& ( n1 != skolemFOFtoCNF_B
| n5 != skolemFOFtoCNF_A )
& ( n2 != skolemFOFtoCNF_A
| n5 != skolemFOFtoCNF_B )
& ( n2 != skolemFOFtoCNF_B
| n4 != skolemFOFtoCNF_A )
& ( n2 != skolemFOFtoCNF_B
| n5 != skolemFOFtoCNF_A )
& ( n3 != skolemFOFtoCNF_A
| n4 != skolemFOFtoCNF_B )
& ( n3 != skolemFOFtoCNF_A
| n5 != skolemFOFtoCNF_B )
& ( n3 != skolemFOFtoCNF_B
| n4 != skolemFOFtoCNF_A )
& ( n3 != skolemFOFtoCNF_B
| n5 != skolemFOFtoCNF_A )
& ( n4 != skolemFOFtoCNF_A
| n4 != skolemFOFtoCNF_B )
& ( n4 != skolemFOFtoCNF_A
| n5 != skolemFOFtoCNF_B )
& ( n4 != skolemFOFtoCNF_B
| n5 != skolemFOFtoCNF_A )
& ( n5 != skolemFOFtoCNF_A
| n5 != skolemFOFtoCNF_B ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( n3 != skolemFOFtoCNF_A
| n5 != skolemFOFtoCNF_B ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
n3 = skolemFOFtoCNF_A,
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_4,plain,
n5 = skolemFOFtoCNF_B,
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_5,plain,
$false,
inference(simplify,[],[normalize_0_2,normalize_0_3,normalize_0_4]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV220+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n021.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
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 23:48:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.58
% 0.18/0.58 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.58
%------------------------------------------------------------------------------