TSTP Solution File: SWV225+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV225+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 20:30:32 EDT 2022
% Result : Theorem 0.37s 0.60s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 460 ( 402 equ)
% Maximal formula atoms : 79 ( 41 avg)
% Number of connectives : 733 ( 284 ~; 99 |; 337 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 24 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-3 aty)
% Number of variables : 26 ( 0 sgn 22 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0561,conjecture,
( ( ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n2) )
=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) )
=> ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
=> ( ( ~ ( n0 = E
& n2 = F )
& ~ ( n0 = E
& n3 = F )
& ~ ( n0 = E
& n4 = F )
& ~ ( n0 = E
& n5 = F )
& ~ ( n0 = F
& n4 = E )
& ~ ( n0 = F
& n5 = E )
& ~ ( n1 = E
& n2 = F )
& ~ ( n1 = E
& n3 = F )
& ~ ( n1 = E
& n4 = F )
& ~ ( n1 = E
& n5 = F )
& ~ ( n1 = F
& n2 = E )
& ~ ( n1 = F
& n3 = E )
& ~ ( n1 = F
& n4 = E )
& ~ ( n1 = F
& n5 = E )
& ~ ( n2 = E
& n2 = F )
& ~ ( n2 = E
& n3 = F )
& ~ ( n2 = E
& n4 = F )
& ~ ( n2 = E
& n5 = F )
& ~ ( n2 = F
& n3 = E )
& ~ ( n2 = F
& n4 = E )
& ~ ( n2 = F
& n5 = E )
& ~ ( n3 = E
& n3 = F )
& ~ ( n3 = E
& n4 = F )
& ~ ( n3 = E
& n5 = F )
& ~ ( n3 = F
& n4 = E )
& ~ ( n3 = F
& n5 = E )
& ~ ( n4 = E
& n4 = F )
& ~ ( n4 = E
& n5 = F )
& ~ ( n4 = F
& n5 = E )
& ~ ( n5 = E
& n5 = F )
& n1 = E
& n1 = F
& n2 = F
& n3 = E )
=> n0 = a_select2(xinit_noise,n1) ) ) ) ).
fof(subgoal_0,plain,
( ( ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n2) )
=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) )
=> ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5)
& ~ ( n0 = E
& n2 = F )
& ~ ( n0 = E
& n3 = F )
& ~ ( n0 = E
& n4 = F )
& ~ ( n0 = E
& n5 = F )
& ~ ( n0 = F
& n4 = E )
& ~ ( n0 = F
& n5 = E )
& ~ ( n1 = E
& n2 = F )
& ~ ( n1 = E
& n3 = F )
& ~ ( n1 = E
& n4 = F )
& ~ ( n1 = E
& n5 = F )
& ~ ( n1 = F
& n2 = E )
& ~ ( n1 = F
& n3 = E )
& ~ ( n1 = F
& n4 = E )
& ~ ( n1 = F
& n5 = E )
& ~ ( n2 = E
& n2 = F )
& ~ ( n2 = E
& n3 = F )
& ~ ( n2 = E
& n4 = F )
& ~ ( n2 = E
& n5 = F )
& ~ ( n2 = F
& n3 = E )
& ~ ( n2 = F
& n4 = E )
& ~ ( n2 = F
& n5 = E )
& ~ ( n3 = E
& n3 = F )
& ~ ( n3 = E
& n4 = F )
& ~ ( n3 = E
& n5 = F )
& ~ ( n3 = F
& n4 = E )
& ~ ( n3 = F
& n5 = E )
& ~ ( n4 = E
& n4 = F )
& ~ ( n4 = E
& n5 = F )
& ~ ( n4 = F
& n5 = E )
& ~ ( n5 = E
& n5 = F )
& n1 = E
& n1 = F
& n2 = F
& n3 = E )
=> n0 = a_select2(xinit_noise,n1) ) ),
inference(strip,[],[quaternion_ds1_symm_0561]) ).
fof(negate_0_0,plain,
~ ( ( ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n2) )
=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) )
=> ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5)
& ~ ( n0 = E
& n2 = F )
& ~ ( n0 = E
& n3 = F )
& ~ ( n0 = E
& n4 = F )
& ~ ( n0 = E
& n5 = F )
& ~ ( n0 = F
& n4 = E )
& ~ ( n0 = F
& n5 = E )
& ~ ( n1 = E
& n2 = F )
& ~ ( n1 = E
& n3 = F )
& ~ ( n1 = E
& n4 = F )
& ~ ( n1 = E
& n5 = F )
& ~ ( n1 = F
& n2 = E )
& ~ ( n1 = F
& n3 = E )
& ~ ( n1 = F
& n4 = E )
& ~ ( n1 = F
& n5 = E )
& ~ ( n2 = E
& n2 = F )
& ~ ( n2 = E
& n3 = F )
& ~ ( n2 = E
& n4 = F )
& ~ ( n2 = E
& n5 = F )
& ~ ( n2 = F
& n3 = E )
& ~ ( n2 = F
& n4 = E )
& ~ ( n2 = F
& n5 = E )
& ~ ( n3 = E
& n3 = F )
& ~ ( n3 = E
& n4 = F )
& ~ ( n3 = E
& n5 = F )
& ~ ( n3 = F
& n4 = E )
& ~ ( n3 = F
& n5 = E )
& ~ ( n4 = E
& n4 = F )
& ~ ( n4 = E
& n5 = F )
& ~ ( n4 = F
& n5 = E )
& ~ ( n5 = E
& n5 = F )
& n1 = E
& n1 = F
& n2 = F
& n3 = E )
=> n0 = a_select2(xinit_noise,n1) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [E,F] :
( n0 != a_select2(xinit_noise,n1)
& n1 = E
& n1 = F
& n2 = F
& n3 = E
& leq(E,n5)
& leq(F,n5)
& leq(n0,E)
& leq(n0,F)
& ( n0 != E
| n2 != F )
& ( n0 != E
| n3 != F )
& ( n0 != E
| n4 != F )
& ( n0 != E
| n5 != F )
& ( n0 != F
| n4 != E )
& ( n0 != F
| n5 != E )
& ( n1 != E
| n2 != F )
& ( n1 != E
| n3 != F )
& ( n1 != E
| n4 != F )
& ( n1 != E
| n5 != F )
& ( n1 != F
| n2 != E )
& ( n1 != F
| n3 != E )
& ( n1 != F
| n4 != E )
& ( n1 != F
| n5 != E )
& ( n2 != E
| n2 != F )
& ( n2 != E
| n3 != F )
& ( n2 != E
| n4 != F )
& ( n2 != E
| n5 != F )
& ( n2 != F
| n3 != E )
& ( n2 != F
| n4 != E )
& ( n2 != F
| n5 != E )
& ( n3 != E
| n3 != F )
& ( n3 != E
| n4 != F )
& ( n3 != E
| n5 != F )
& ( n3 != F
| n4 != E )
& ( n3 != F
| n5 != E )
& ( n4 != E
| n4 != F )
& ( n4 != E
| n5 != F )
& ( n4 != F
| n5 != E )
& ( n5 != E
| n5 != F ) )
& ! [A,B] :
( ~ leq(A,n5)
| ~ leq(B,n5)
| ~ leq(n0,A)
| ~ leq(n0,B)
| a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ~ leq(C,n2)
| ~ leq(D,n2)
| ~ leq(n0,C)
| ~ leq(n0,D)
| a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [E,F] :
( n0 != a_select2(xinit_noise,n1)
& n1 = E
& n1 = F
& n2 = F
& n3 = E
& leq(E,n5)
& leq(F,n5)
& leq(n0,E)
& leq(n0,F)
& ( n0 != E
| n2 != F )
& ( n0 != E
| n3 != F )
& ( n0 != E
| n4 != F )
& ( n0 != E
| n5 != F )
& ( n0 != F
| n4 != E )
& ( n0 != F
| n5 != E )
& ( n1 != E
| n2 != F )
& ( n1 != E
| n3 != F )
& ( n1 != E
| n4 != F )
& ( n1 != E
| n5 != F )
& ( n1 != F
| n2 != E )
& ( n1 != F
| n3 != E )
& ( n1 != F
| n4 != E )
& ( n1 != F
| n5 != E )
& ( n2 != E
| n2 != F )
& ( n2 != E
| n3 != F )
& ( n2 != E
| n4 != F )
& ( n2 != E
| n5 != F )
& ( n2 != F
| n3 != E )
& ( n2 != F
| n4 != E )
& ( n2 != F
| n5 != E )
& ( n3 != E
| n3 != F )
& ( n3 != E
| n4 != F )
& ( n3 != E
| n5 != F )
& ( n3 != F
| n4 != E )
& ( n3 != F
| n5 != E )
& ( n4 != E
| n4 != F )
& ( n4 != E
| n5 != F )
& ( n4 != F
| n5 != E )
& ( n5 != E
| n5 != F ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( n0 != a_select2(xinit_noise,n1)
& n1 = skolemFOFtoCNF_E
& n1 = skolemFOFtoCNF_F
& n2 = skolemFOFtoCNF_F
& n3 = skolemFOFtoCNF_E
& leq(n0,skolemFOFtoCNF_E)
& leq(n0,skolemFOFtoCNF_F)
& leq(skolemFOFtoCNF_E,n5)
& leq(skolemFOFtoCNF_F,n5)
& ( n0 != skolemFOFtoCNF_E
| n2 != skolemFOFtoCNF_F )
& ( n0 != skolemFOFtoCNF_E
| n3 != skolemFOFtoCNF_F )
& ( n0 != skolemFOFtoCNF_E
| n4 != skolemFOFtoCNF_F )
& ( n0 != skolemFOFtoCNF_E
| n5 != skolemFOFtoCNF_F )
& ( n0 != skolemFOFtoCNF_F
| n4 != skolemFOFtoCNF_E )
& ( n0 != skolemFOFtoCNF_F
| n5 != skolemFOFtoCNF_E )
& ( n1 != skolemFOFtoCNF_E
| n2 != skolemFOFtoCNF_F )
& ( n1 != skolemFOFtoCNF_E
| n3 != skolemFOFtoCNF_F )
& ( n1 != skolemFOFtoCNF_E
| n4 != skolemFOFtoCNF_F )
& ( n1 != skolemFOFtoCNF_E
| n5 != skolemFOFtoCNF_F )
& ( n1 != skolemFOFtoCNF_F
| n2 != skolemFOFtoCNF_E )
& ( n1 != skolemFOFtoCNF_F
| n3 != skolemFOFtoCNF_E )
& ( n1 != skolemFOFtoCNF_F
| n4 != skolemFOFtoCNF_E )
& ( n1 != skolemFOFtoCNF_F
| n5 != skolemFOFtoCNF_E )
& ( n2 != skolemFOFtoCNF_E
| n2 != skolemFOFtoCNF_F )
& ( n2 != skolemFOFtoCNF_E
| n3 != skolemFOFtoCNF_F )
& ( n2 != skolemFOFtoCNF_E
| n4 != skolemFOFtoCNF_F )
& ( n2 != skolemFOFtoCNF_E
| n5 != skolemFOFtoCNF_F )
& ( n2 != skolemFOFtoCNF_F
| n3 != skolemFOFtoCNF_E )
& ( n2 != skolemFOFtoCNF_F
| n4 != skolemFOFtoCNF_E )
& ( n2 != skolemFOFtoCNF_F
| n5 != skolemFOFtoCNF_E )
& ( n3 != skolemFOFtoCNF_E
| n3 != skolemFOFtoCNF_F )
& ( n3 != skolemFOFtoCNF_E
| n4 != skolemFOFtoCNF_F )
& ( n3 != skolemFOFtoCNF_E
| n5 != skolemFOFtoCNF_F )
& ( n3 != skolemFOFtoCNF_F
| n4 != skolemFOFtoCNF_E )
& ( n3 != skolemFOFtoCNF_F
| n5 != skolemFOFtoCNF_E )
& ( n4 != skolemFOFtoCNF_E
| n4 != skolemFOFtoCNF_F )
& ( n4 != skolemFOFtoCNF_E
| n5 != skolemFOFtoCNF_F )
& ( n4 != skolemFOFtoCNF_F
| n5 != skolemFOFtoCNF_E )
& ( n5 != skolemFOFtoCNF_E
| n5 != skolemFOFtoCNF_F ) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( n1 != skolemFOFtoCNF_E
| n2 != skolemFOFtoCNF_F ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
n1 = skolemFOFtoCNF_E,
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_5,plain,
n2 = skolemFOFtoCNF_F,
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_6,plain,
$false,
inference(simplify,[],[normalize_0_3,normalize_0_4,normalize_0_5]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV225+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n014.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 : 600
% 0.14/0.35 % DateTime : Wed Jun 15 06:15:51 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.37/0.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.60
% 0.37/0.60 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.37/0.60
%------------------------------------------------------------------------------