TSTP Solution File: SWV232+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV232+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %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 : 600s
% DateTime : Wed Jul 20 20:30:34 EDT 2022
% Result : Theorem 0.40s 0.63s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 164 ( 122 equ)
% Maximal formula atoms : 28 ( 14 avg)
% Number of connectives : 226 ( 73 ~; 26 |; 117 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-3 aty)
% Number of variables : 18 ( 0 sgn 14 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0841,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) )
=> ( ( ~ ( n0 = C
& n1 = D )
& ~ ( n0 = C
& n2 = D )
& ~ ( n0 = D
& n2 = C )
& ~ ( n1 = C
& n1 = D )
& ~ ( n1 = C
& n2 = D )
& ~ ( n1 = D
& n2 = C )
& ~ ( n2 = C
& n2 = D )
& n0 = D
& n1 = C
& n1 = D
& n2 = C )
=> a_select2(rho,n1) = n0 ) ) ) ).
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)
& ~ ( n0 = C
& n1 = D )
& ~ ( n0 = C
& n2 = D )
& ~ ( n0 = D
& n2 = C )
& ~ ( n1 = C
& n1 = D )
& ~ ( n1 = C
& n2 = D )
& ~ ( n1 = D
& n2 = C )
& ~ ( n2 = C
& n2 = D )
& n0 = D
& n1 = C
& n1 = D
& n2 = C )
=> a_select2(rho,n1) = n0 ) ),
inference(strip,[],[quaternion_ds1_symm_0841]) ).
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)
& ~ ( n0 = C
& n1 = D )
& ~ ( n0 = C
& n2 = D )
& ~ ( n0 = D
& n2 = C )
& ~ ( n1 = C
& n1 = D )
& ~ ( n1 = C
& n2 = D )
& ~ ( n1 = D
& n2 = C )
& ~ ( n2 = C
& n2 = D )
& n0 = D
& n1 = C
& n1 = D
& n2 = C )
=> a_select2(rho,n1) = n0 ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [C,D] :
( a_select2(rho,n1) != n0
& n0 = D
& n1 = C
& n1 = D
& n2 = C
& leq(C,n2)
& leq(D,n2)
& leq(n0,C)
& leq(n0,D)
& ( n0 != C
| n1 != D )
& ( n0 != C
| n2 != D )
& ( n0 != D
| n2 != C )
& ( n1 != C
| n1 != D )
& ( n1 != C
| n2 != D )
& ( n1 != D
| n2 != C )
& ( n2 != C
| n2 != D ) )
& ! [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) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [C,D] :
( a_select2(rho,n1) != n0
& n0 = D
& n1 = C
& n1 = D
& n2 = C
& leq(C,n2)
& leq(D,n2)
& leq(n0,C)
& leq(n0,D)
& ( n0 != C
| n1 != D )
& ( n0 != C
| n2 != D )
& ( n0 != D
| n2 != C )
& ( n1 != C
| n1 != D )
& ( n1 != C
| n2 != D )
& ( n1 != D
| n2 != C )
& ( n2 != C
| n2 != D ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( a_select2(rho,n1) != n0
& n0 = skolemFOFtoCNF_D
& n1 = skolemFOFtoCNF_C
& n1 = skolemFOFtoCNF_D
& n2 = skolemFOFtoCNF_C
& leq(n0,skolemFOFtoCNF_C)
& leq(n0,skolemFOFtoCNF_D)
& leq(skolemFOFtoCNF_C,n2)
& leq(skolemFOFtoCNF_D,n2)
& ( n0 != skolemFOFtoCNF_C
| n1 != skolemFOFtoCNF_D )
& ( n0 != skolemFOFtoCNF_C
| n2 != skolemFOFtoCNF_D )
& ( n0 != skolemFOFtoCNF_D
| n2 != skolemFOFtoCNF_C )
& ( n1 != skolemFOFtoCNF_C
| n1 != skolemFOFtoCNF_D )
& ( n1 != skolemFOFtoCNF_C
| n2 != skolemFOFtoCNF_D )
& ( n1 != skolemFOFtoCNF_D
| n2 != skolemFOFtoCNF_C )
& ( n2 != skolemFOFtoCNF_C
| n2 != skolemFOFtoCNF_D ) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( n0 != skolemFOFtoCNF_D
| n2 != skolemFOFtoCNF_C ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
n0 = skolemFOFtoCNF_D,
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_5,plain,
n2 = skolemFOFtoCNF_C,
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
% 0.04/0.13 % Problem : SWV232+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jun 16 02:25:20 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.40/0.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.63
% 0.40/0.63 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.40/0.63
%------------------------------------------------------------------------------