TSTP Solution File: MGT053+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT053+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 : Sun Jul 17 22:19:54 EDT 2022
% Result : Theorem 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of formulae : 80 ( 18 unt; 0 def)
% Number of atoms : 224 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 253 ( 109 ~; 116 |; 13 &)
% ( 11 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 114 ( 4 sgn 66 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(definition_2,axiom,
! [X,T0,T] :
( dissimilar(X,T0,T)
<=> ( organization(X)
& ~ ( is_aligned(X,T0)
<=> is_aligned(X,T) ) ) ) ).
fof(lemma_7,conjecture,
! [X,T1,T2] :
( dissimilar(X,T1,T2)
<=> dissimilar(X,T2,T1) ) ).
fof(subgoal_0,plain,
! [X,T1,T2] :
( dissimilar(X,T1,T2)
=> dissimilar(X,T2,T1) ),
inference(strip,[],[lemma_7]) ).
fof(subgoal_1,plain,
! [X,T1,T2] :
( dissimilar(X,T2,T1)
=> dissimilar(X,T1,T2) ),
inference(strip,[],[lemma_7]) ).
fof(negate_0_0,plain,
~ ! [X,T1,T2] :
( dissimilar(X,T1,T2)
=> dissimilar(X,T2,T1) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [T1,T2,X] :
( ~ dissimilar(X,T2,T1)
& dissimilar(X,T1,T2) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T1)
& dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [T,T0,X] :
( ~ dissimilar(X,T0,T)
<=> ( ~ organization(X)
| ( ~ is_aligned(X,T)
<=> ~ is_aligned(X,T0) ) ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_0_4,plain,
! [T,T0,X] :
( ~ dissimilar(X,T0,T)
<=> ( ~ organization(X)
| ( ~ is_aligned(X,T)
<=> ~ is_aligned(X,T0) ) ) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [T,T0,X] :
( ( ~ dissimilar(X,T0,T)
| organization(X) )
& ( ~ dissimilar(X,T0,T)
| ~ is_aligned(X,T)
| ~ is_aligned(X,T0) )
& ( ~ dissimilar(X,T0,T)
| is_aligned(X,T)
| is_aligned(X,T0) )
& ( ~ is_aligned(X,T)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T0) )
& ( ~ is_aligned(X,T0)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [T,T0,X] :
( ~ dissimilar(X,T0,T)
| ~ is_aligned(X,T)
| ~ is_aligned(X,T0) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
~ dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_8,plain,
! [T,T0,X] :
( ~ is_aligned(X,T)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T0) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_9,plain,
! [T,T0,X] :
( ~ dissimilar(X,T0,T)
| is_aligned(X,T)
| is_aligned(X,T0) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_10,plain,
! [T,T0,X] :
( ~ is_aligned(X,T0)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_11,plain,
! [T,T0,X] :
( ~ dissimilar(X,T0,T)
| organization(X) ),
inference(conjunct,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ dissimilar(X,T0,T)
| ~ is_aligned(X,T)
| ~ is_aligned(X,T0) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( ~ dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
| ~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_1:[bind(T,$fot(skolemFOFtoCNF_T2)),bind(T0,$fot(skolemFOFtoCNF_T1)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_3,plain,
( ~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
~ dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T1),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_5,plain,
( ~ is_aligned(X,T)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T0) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
( ~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X)
| dissimilar(skolemFOFtoCNF_X,T0,skolemFOFtoCNF_T1)
| is_aligned(skolemFOFtoCNF_X,T0) ),
inference(subst,[],[refute_0_5:[bind(T,$fot(skolemFOFtoCNF_T1)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_7,plain,
( ~ dissimilar(X,T0,T)
| is_aligned(X,T)
| is_aligned(X,T0) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_8,plain,
( ~ dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_7:[bind(T,$fot(skolemFOFtoCNF_T2)),bind(T0,$fot(skolemFOFtoCNF_T1)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_9,plain,
( is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ is_aligned(X,T0)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_11,plain,
( ~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_X)
| dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,X_41)
| is_aligned(skolemFOFtoCNF_X,X_41) ),
inference(subst,[],[refute_0_10:[bind(T,$fot(X_41)),bind(T0,$fot(skolemFOFtoCNF_T2)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_12,plain,
( ~ organization(skolemFOFtoCNF_X)
| dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,X_41)
| is_aligned(skolemFOFtoCNF_X,X_41)
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) ),
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_9,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ dissimilar(X,T0,T)
| organization(X) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_14,plain,
( ~ dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
| organization(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_13:[bind(T,$fot(skolemFOFtoCNF_T2)),bind(T0,$fot(skolemFOFtoCNF_T1)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_15,plain,
organization(skolemFOFtoCNF_X),
inference(resolve,[$cnf( dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2) )],[refute_0_0,refute_0_14]) ).
cnf(refute_0_16,plain,
( dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,X_41)
| is_aligned(skolemFOFtoCNF_X,X_41)
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_15,refute_0_12]) ).
cnf(refute_0_17,plain,
( dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T1)
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) ),
inference(subst,[],[refute_0_16:[bind(X_41,$fot(skolemFOFtoCNF_T1))]]) ).
cnf(refute_0_18,plain,
is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),
inference(resolve,[$cnf( dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T1) )],[refute_0_17,refute_0_4]) ).
cnf(refute_0_19,plain,
( ~ organization(skolemFOFtoCNF_X)
| dissimilar(skolemFOFtoCNF_X,T0,skolemFOFtoCNF_T1)
| is_aligned(skolemFOFtoCNF_X,T0) ),
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_18,refute_0_6]) ).
cnf(refute_0_20,plain,
( dissimilar(skolemFOFtoCNF_X,T0,skolemFOFtoCNF_T1)
| is_aligned(skolemFOFtoCNF_X,T0) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_15,refute_0_19]) ).
cnf(refute_0_21,plain,
( dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T1)
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_20:[bind(T0,$fot(skolemFOFtoCNF_T2))]]) ).
cnf(refute_0_22,plain,
is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),
inference(resolve,[$cnf( dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T1) )],[refute_0_21,refute_0_4]) ).
cnf(refute_0_23,plain,
~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_22,refute_0_3]) ).
cnf(refute_0_24,plain,
$false,
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_18,refute_0_23]) ).
fof(negate_1_0,plain,
~ ! [X,T1,T2] :
( dissimilar(X,T2,T1)
=> dissimilar(X,T1,T2) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
? [T1,T2,X] :
( ~ dissimilar(X,T1,T2)
& dissimilar(X,T2,T1) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( ~ dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1,skolemFOFtoCNF_T2_1)
& dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1,skolemFOFtoCNF_T1_1) ),
inference(skolemize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1,skolemFOFtoCNF_T1_1),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [T,T0,X] :
( ~ dissimilar(X,T0,T)
<=> ( ~ organization(X)
| ( ~ is_aligned(X,T)
<=> ~ is_aligned(X,T0) ) ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_1_4,plain,
! [T,T0,X] :
( ~ dissimilar(X,T0,T)
<=> ( ~ organization(X)
| ( ~ is_aligned(X,T)
<=> ~ is_aligned(X,T0) ) ) ),
inference(specialize,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
! [T,T0,X] :
( ( ~ dissimilar(X,T0,T)
| organization(X) )
& ( ~ dissimilar(X,T0,T)
| ~ is_aligned(X,T)
| ~ is_aligned(X,T0) )
& ( ~ dissimilar(X,T0,T)
| is_aligned(X,T)
| is_aligned(X,T0) )
& ( ~ is_aligned(X,T)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T0) )
& ( ~ is_aligned(X,T0)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T) ) ),
inference(clausify,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
! [T,T0,X] :
( ~ dissimilar(X,T0,T)
| ~ is_aligned(X,T)
| ~ is_aligned(X,T0) ),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
~ dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1,skolemFOFtoCNF_T2_1),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_8,plain,
! [T,T0,X] :
( ~ dissimilar(X,T0,T)
| is_aligned(X,T)
| is_aligned(X,T0) ),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_9,plain,
! [T,T0,X] :
( ~ is_aligned(X,T)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T0) ),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_10,plain,
! [T,T0,X] :
( ~ dissimilar(X,T0,T)
| organization(X) ),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_11,plain,
! [T,T0,X] :
( ~ is_aligned(X,T0)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T) ),
inference(conjunct,[],[normalize_1_5]) ).
cnf(refute_1_0,plain,
dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1,skolemFOFtoCNF_T1_1),
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_1,plain,
( ~ dissimilar(X,T0,T)
| ~ is_aligned(X,T)
| ~ is_aligned(X,T0) ),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_2,plain,
( ~ dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1,skolemFOFtoCNF_T1_1)
| ~ is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)
| ~ is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1) ),
inference(subst,[],[refute_1_1:[bind(T,$fot(skolemFOFtoCNF_T1_1)),bind(T0,$fot(skolemFOFtoCNF_T2_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_3,plain,
( ~ is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)
| ~ is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1) ),
inference(resolve,[$cnf( dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1,skolemFOFtoCNF_T1_1) )],[refute_1_0,refute_1_2]) ).
cnf(refute_1_4,plain,
~ dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1,skolemFOFtoCNF_T2_1),
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_5,plain,
( ~ dissimilar(X,T0,T)
| is_aligned(X,T)
| is_aligned(X,T0) ),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_6,plain,
( ~ dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1,skolemFOFtoCNF_T1_1)
| is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)
| is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1) ),
inference(subst,[],[refute_1_5:[bind(T,$fot(skolemFOFtoCNF_T1_1)),bind(T0,$fot(skolemFOFtoCNF_T2_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_7,plain,
( is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)
| is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1) ),
inference(resolve,[$cnf( dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1,skolemFOFtoCNF_T1_1) )],[refute_1_0,refute_1_6]) ).
cnf(refute_1_8,plain,
( ~ is_aligned(X,T)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T0) ),
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_9,plain,
( ~ is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1)
| ~ organization(skolemFOFtoCNF_X_1)
| dissimilar(skolemFOFtoCNF_X_1,X_85,skolemFOFtoCNF_T2_1)
| is_aligned(skolemFOFtoCNF_X_1,X_85) ),
inference(subst,[],[refute_1_8:[bind(T,$fot(skolemFOFtoCNF_T2_1)),bind(T0,$fot(X_85)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_10,plain,
( ~ organization(skolemFOFtoCNF_X_1)
| dissimilar(skolemFOFtoCNF_X_1,X_85,skolemFOFtoCNF_T2_1)
| is_aligned(skolemFOFtoCNF_X_1,X_85)
| is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) ),
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1) )],[refute_1_7,refute_1_9]) ).
cnf(refute_1_11,plain,
( ~ dissimilar(X,T0,T)
| organization(X) ),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_12,plain,
( ~ dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1,skolemFOFtoCNF_T1_1)
| organization(skolemFOFtoCNF_X_1) ),
inference(subst,[],[refute_1_11:[bind(T,$fot(skolemFOFtoCNF_T1_1)),bind(T0,$fot(skolemFOFtoCNF_T2_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_13,plain,
organization(skolemFOFtoCNF_X_1),
inference(resolve,[$cnf( dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1,skolemFOFtoCNF_T1_1) )],[refute_1_0,refute_1_12]) ).
cnf(refute_1_14,plain,
( dissimilar(skolemFOFtoCNF_X_1,X_85,skolemFOFtoCNF_T2_1)
| is_aligned(skolemFOFtoCNF_X_1,X_85)
| is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X_1) )],[refute_1_13,refute_1_10]) ).
cnf(refute_1_15,plain,
( dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1,skolemFOFtoCNF_T2_1)
| is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) ),
inference(subst,[],[refute_1_14:[bind(X_85,$fot(skolemFOFtoCNF_T1_1))]]) ).
cnf(refute_1_16,plain,
is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),
inference(resolve,[$cnf( dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1,skolemFOFtoCNF_T2_1) )],[refute_1_15,refute_1_4]) ).
cnf(refute_1_17,plain,
( ~ is_aligned(X,T0)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T) ),
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_18,plain,
( ~ is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)
| ~ organization(skolemFOFtoCNF_X_1)
| dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1,X_89)
| is_aligned(skolemFOFtoCNF_X_1,X_89) ),
inference(subst,[],[refute_1_17:[bind(T,$fot(X_89)),bind(T0,$fot(skolemFOFtoCNF_T1_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_19,plain,
( ~ organization(skolemFOFtoCNF_X_1)
| dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1,X_89)
| is_aligned(skolemFOFtoCNF_X_1,X_89) ),
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) )],[refute_1_16,refute_1_18]) ).
cnf(refute_1_20,plain,
( dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1,X_89)
| is_aligned(skolemFOFtoCNF_X_1,X_89) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X_1) )],[refute_1_13,refute_1_19]) ).
cnf(refute_1_21,plain,
( dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1,skolemFOFtoCNF_T2_1)
| is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1) ),
inference(subst,[],[refute_1_20:[bind(X_89,$fot(skolemFOFtoCNF_T2_1))]]) ).
cnf(refute_1_22,plain,
is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),
inference(resolve,[$cnf( dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1,skolemFOFtoCNF_T2_1) )],[refute_1_21,refute_1_4]) ).
cnf(refute_1_23,plain,
~ is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1) )],[refute_1_22,refute_1_3]) ).
cnf(refute_1_24,plain,
$false,
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) )],[refute_1_16,refute_1_23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : MGT053+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.11 % Command : metis --show proof --show saturation %s
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Thu Jun 9 09:30:49 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.11/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34
% 0.11/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.11/0.35
%------------------------------------------------------------------------------