TSTP Solution File: SEU444+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SEU444+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n004.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 : Tue Jul 19 12:41:30 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 26
% Syntax : Number of formulae : 123 ( 38 unt; 0 def)
% Number of atoms : 242 ( 152 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 229 ( 110 ~; 88 |; 18 &)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 142 ( 0 sgn 96 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t56_relset_2,conjecture,
! [A,B,C] :
( m2_relset_1(C,B,A)
=> ( k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)
& k10_relset_1(A,B,k6_relset_1(B,A,C),k10_relset_1(B,A,C,B)) = k10_relset_1(A,B,k6_relset_1(B,A,C),k2_funct_5(C)) ) ) ).
fof(redefinition_k6_relset_1,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> k6_relset_1(A,B,C) = k4_relat_1(C) ) ).
fof(redefinition_m2_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ) ).
fof(dt_k6_relset_1,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> m2_relset_1(k6_relset_1(A,B,C),B,A) ) ).
fof(t51_relset_2,axiom,
! [A,B,C] :
( m2_relset_1(C,B,A)
=> ( k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)
& k2_funct_5(C) = k10_relset_1(B,A,C,B) ) ) ).
fof(subgoal_0,plain,
! [A,B,C] :
( m2_relset_1(C,B,A)
=> k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A) ),
inference(strip,[],[t56_relset_2]) ).
fof(subgoal_1,plain,
! [A,B,C] :
( ( m2_relset_1(C,B,A)
& k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A) )
=> k10_relset_1(A,B,k6_relset_1(B,A,C),k10_relset_1(B,A,C,B)) = k10_relset_1(A,B,k6_relset_1(B,A,C),k2_funct_5(C)) ),
inference(strip,[],[t56_relset_2]) ).
fof(negate_0_0,plain,
~ ! [A,B,C] :
( m2_relset_1(C,B,A)
=> k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C] :
( k1_funct_5(C) != k10_relset_1(A,B,k6_relset_1(B,A,C),A)
& m2_relset_1(C,B,A) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( k1_funct_5(skolemFOFtoCNF_C_2) != k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3)
& m2_relset_1(skolemFOFtoCNF_C_2,skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
m2_relset_1(skolemFOFtoCNF_C_2,skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C] :
( ~ m2_relset_1(C,B,A)
| ( k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)
& k2_funct_5(C) = k10_relset_1(B,A,C,B) ) ),
inference(canonicalize,[],[t51_relset_2]) ).
fof(normalize_0_4,plain,
! [A,B,C] :
( ~ m2_relset_1(C,B,A)
| ( k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)
& k2_funct_5(C) = k10_relset_1(B,A,C,B) ) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C] :
( ( ~ m2_relset_1(C,B,A)
| k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A) )
& ( ~ m2_relset_1(C,B,A)
| k2_funct_5(C) = k10_relset_1(B,A,C,B) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,B,C] :
( ~ m2_relset_1(C,B,A)
| k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C] :
( ~ m1_relset_1(C,A,B)
<=> ~ m2_relset_1(C,A,B) ),
inference(canonicalize,[],[redefinition_m2_relset_1]) ).
fof(normalize_0_8,plain,
! [A,B,C] :
( ~ m1_relset_1(C,A,B)
<=> ~ m2_relset_1(C,A,B) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B,C] :
( ( ~ m1_relset_1(C,A,B)
| m2_relset_1(C,A,B) )
& ( ~ m2_relset_1(C,A,B)
| m1_relset_1(C,A,B) ) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A,B,C] :
( ~ m2_relset_1(C,A,B)
| m1_relset_1(C,A,B) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B,C] :
( ~ m1_relset_1(C,A,B)
| m2_relset_1(k6_relset_1(A,B,C),B,A) ),
inference(canonicalize,[],[dt_k6_relset_1]) ).
fof(normalize_0_12,plain,
! [A,B,C] :
( ~ m1_relset_1(C,A,B)
| m2_relset_1(k6_relset_1(A,B,C),B,A) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B,C] :
( ~ m1_relset_1(C,A,B)
| k6_relset_1(A,B,C) = k4_relat_1(C) ),
inference(canonicalize,[],[redefinition_k6_relset_1]) ).
fof(normalize_0_14,plain,
! [A,B,C] :
( ~ m1_relset_1(C,A,B)
| k6_relset_1(A,B,C) = k4_relat_1(C) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B,C] :
( ~ m2_relset_1(C,B,A)
| k2_funct_5(C) = k10_relset_1(B,A,C,B) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_16,plain,
k1_funct_5(skolemFOFtoCNF_C_2) != k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
m2_relset_1(skolemFOFtoCNF_C_2,skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ m2_relset_1(C,B,A)
| k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( ~ m2_relset_1(skolemFOFtoCNF_C_2,skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3)
| k1_funct_5(skolemFOFtoCNF_C_2) = k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_A_3)),bind(B,$fot(skolemFOFtoCNF_B_3)),bind(C,$fot(skolemFOFtoCNF_C_2))]]) ).
cnf(refute_0_3,plain,
k1_funct_5(skolemFOFtoCNF_C_2) = k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3),
inference(resolve,[$cnf( m2_relset_1(skolemFOFtoCNF_C_2,skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ m2_relset_1(C,A,B)
| m1_relset_1(C,A,B) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_5,plain,
( ~ m2_relset_1(skolemFOFtoCNF_C_2,skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3)
| m1_relset_1(skolemFOFtoCNF_C_2,skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_B_3)),bind(B,$fot(skolemFOFtoCNF_A_3)),bind(C,$fot(skolemFOFtoCNF_C_2))]]) ).
cnf(refute_0_6,plain,
m1_relset_1(skolemFOFtoCNF_C_2,skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3),
inference(resolve,[$cnf( m2_relset_1(skolemFOFtoCNF_C_2,skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3) )],[refute_0_0,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ m1_relset_1(C,A,B)
| m2_relset_1(k6_relset_1(A,B,C),B,A) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_8,plain,
( ~ m1_relset_1(skolemFOFtoCNF_C_2,skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3)
| m2_relset_1(k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_B_3)),bind(B,$fot(skolemFOFtoCNF_A_3)),bind(C,$fot(skolemFOFtoCNF_C_2))]]) ).
cnf(refute_0_9,plain,
m2_relset_1(k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3),
inference(resolve,[$cnf( m1_relset_1(skolemFOFtoCNF_C_2,skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ m1_relset_1(C,A,B)
| k6_relset_1(A,B,C) = k4_relat_1(C) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_11,plain,
( ~ m1_relset_1(skolemFOFtoCNF_C_2,skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3)
| k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2) = k4_relat_1(skolemFOFtoCNF_C_2) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(skolemFOFtoCNF_B_3)),bind(B,$fot(skolemFOFtoCNF_A_3)),bind(C,$fot(skolemFOFtoCNF_C_2))]]) ).
cnf(refute_0_12,plain,
k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2) = k4_relat_1(skolemFOFtoCNF_C_2),
inference(resolve,[$cnf( m1_relset_1(skolemFOFtoCNF_C_2,skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3) )],[refute_0_6,refute_0_11]) ).
cnf(refute_0_13,plain,
( k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2) != k4_relat_1(skolemFOFtoCNF_C_2)
| ~ m2_relset_1(k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3)
| m2_relset_1(k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3) ),
introduced(tautology,[equality,[$cnf( m2_relset_1(k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3) ),[0],$fot(k4_relat_1(skolemFOFtoCNF_C_2))]]) ).
cnf(refute_0_14,plain,
( ~ m2_relset_1(k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3)
| m2_relset_1(k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3) ),
inference(resolve,[$cnf( $equal(k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),k4_relat_1(skolemFOFtoCNF_C_2)) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
m2_relset_1(k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3),
inference(resolve,[$cnf( m2_relset_1(k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ m2_relset_1(C,B,A)
| k2_funct_5(C) = k10_relset_1(B,A,C,B) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_17,plain,
( ~ m2_relset_1(k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3)
| k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2)) = k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_B_3)),bind(B,$fot(skolemFOFtoCNF_A_3)),bind(C,$fot(k4_relat_1(skolemFOFtoCNF_C_2)))]]) ).
cnf(refute_0_18,plain,
k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2)) = k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3),
inference(resolve,[$cnf( m2_relset_1(k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3) )],[refute_0_15,refute_0_17]) ).
cnf(refute_0_19,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_20,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_21,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
( k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2)) != k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3)
| k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) = k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2)))),bind(Y,$fot(k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3)))]]) ).
cnf(refute_0_23,plain,
k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) = k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2)),
inference(resolve,[$cnf( $equal(k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2)),k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3)) )],[refute_0_18,refute_0_22]) ).
cnf(refute_0_24,plain,
k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) = k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3),
introduced(tautology,[refl,[$fot(k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3))]]) ).
cnf(refute_0_25,plain,
( k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) != k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3)
| k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2) != k4_relat_1(skolemFOFtoCNF_C_2)
| k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) = k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) ),
introduced(tautology,[equality,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3),k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3)) ),[1,2],$fot(k4_relat_1(skolemFOFtoCNF_C_2))]]) ).
cnf(refute_0_26,plain,
( k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2) != k4_relat_1(skolemFOFtoCNF_C_2)
| k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) = k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) ),
inference(resolve,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3),k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3)) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) = k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3),
inference(resolve,[$cnf( $equal(k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),k4_relat_1(skolemFOFtoCNF_C_2)) )],[refute_0_12,refute_0_26]) ).
cnf(refute_0_28,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_29,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_21,refute_0_28]) ).
cnf(refute_0_30,plain,
( k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) != k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2))
| k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) != k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3)
| k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) = k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3))),bind(Y,$fot(k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3))),bind(Z,$fot(k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2))))]]) ).
cnf(refute_0_31,plain,
( k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) != k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2))
| k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) = k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2)) ),
inference(resolve,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3),k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3)) )],[refute_0_27,refute_0_30]) ).
cnf(refute_0_32,plain,
k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) = k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2)),
inference(resolve,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3),k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2))) )],[refute_0_23,refute_0_31]) ).
cnf(refute_0_33,plain,
( k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) != k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2))
| k1_funct_5(skolemFOFtoCNF_C_2) != k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3)
| k1_funct_5(skolemFOFtoCNF_C_2) = k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2)) ),
introduced(tautology,[equality,[$cnf( $equal(k1_funct_5(skolemFOFtoCNF_C_2),k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3)) ),[1],$fot(k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2)))]]) ).
cnf(refute_0_34,plain,
( k1_funct_5(skolemFOFtoCNF_C_2) != k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3)
| k1_funct_5(skolemFOFtoCNF_C_2) = k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2)) ),
inference(resolve,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3),k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2))) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
k1_funct_5(skolemFOFtoCNF_C_2) = k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2)),
inference(resolve,[$cnf( $equal(k1_funct_5(skolemFOFtoCNF_C_2),k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3)) )],[refute_0_3,refute_0_34]) ).
cnf(refute_0_36,plain,
k1_funct_5(skolemFOFtoCNF_C_2) != k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_37,plain,
( k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) != k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3)
| k1_funct_5(skolemFOFtoCNF_C_2) != k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3)
| k1_funct_5(skolemFOFtoCNF_C_2) = k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(k1_funct_5(skolemFOFtoCNF_C_2),k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3)) ),[1],$fot(k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3))]]) ).
cnf(refute_0_38,plain,
( k1_funct_5(skolemFOFtoCNF_C_2) != k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3)
| k1_funct_5(skolemFOFtoCNF_C_2) = k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) ),
inference(resolve,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3),k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3)) )],[refute_0_27,refute_0_37]) ).
cnf(refute_0_39,plain,
k1_funct_5(skolemFOFtoCNF_C_2) != k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3),
inference(resolve,[$cnf( $equal(k1_funct_5(skolemFOFtoCNF_C_2),k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k6_relset_1(skolemFOFtoCNF_B_3,skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3)) )],[refute_0_38,refute_0_36]) ).
cnf(refute_0_40,plain,
( k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) != k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2))
| k1_funct_5(skolemFOFtoCNF_C_2) != k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2))
| k1_funct_5(skolemFOFtoCNF_C_2) = k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(k1_funct_5(skolemFOFtoCNF_C_2),k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3)) ),[1],$fot(k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2)))]]) ).
cnf(refute_0_41,plain,
( k1_funct_5(skolemFOFtoCNF_C_2) != k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2))
| k1_funct_5(skolemFOFtoCNF_C_2) = k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3) ),
inference(resolve,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3),k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2))) )],[refute_0_23,refute_0_40]) ).
cnf(refute_0_42,plain,
k1_funct_5(skolemFOFtoCNF_C_2) != k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2)),
inference(resolve,[$cnf( $equal(k1_funct_5(skolemFOFtoCNF_C_2),k10_relset_1(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_3,k4_relat_1(skolemFOFtoCNF_C_2),skolemFOFtoCNF_A_3)) )],[refute_0_41,refute_0_39]) ).
cnf(refute_0_43,plain,
$false,
inference(resolve,[$cnf( $equal(k1_funct_5(skolemFOFtoCNF_C_2),k2_funct_5(k4_relat_1(skolemFOFtoCNF_C_2))) )],[refute_0_35,refute_0_42]) ).
fof(negate_1_0,plain,
~ ! [A,B,C] :
( ( m2_relset_1(C,B,A)
& k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A) )
=> k10_relset_1(A,B,k6_relset_1(B,A,C),k10_relset_1(B,A,C,B)) = k10_relset_1(A,B,k6_relset_1(B,A,C),k2_funct_5(C)) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
? [A,B,C] :
( k10_relset_1(A,B,k6_relset_1(B,A,C),k10_relset_1(B,A,C,B)) != k10_relset_1(A,B,k6_relset_1(B,A,C),k2_funct_5(C))
& k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)
& m2_relset_1(C,B,A) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) != k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3))
& k1_funct_5(skolemFOFtoCNF_C_3) = k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),skolemFOFtoCNF_A_4)
& m2_relset_1(skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4) ),
inference(skolemize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) != k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
m2_relset_1(skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_4,plain,
! [A,B,C] :
( ~ m1_relset_1(C,A,B)
<=> ~ m2_relset_1(C,A,B) ),
inference(canonicalize,[],[redefinition_m2_relset_1]) ).
fof(normalize_1_5,plain,
! [A,B,C] :
( ~ m1_relset_1(C,A,B)
<=> ~ m2_relset_1(C,A,B) ),
inference(specialize,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
! [A,B,C] :
( ( ~ m1_relset_1(C,A,B)
| m2_relset_1(C,A,B) )
& ( ~ m2_relset_1(C,A,B)
| m1_relset_1(C,A,B) ) ),
inference(clausify,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
! [A,B,C] :
( ~ m2_relset_1(C,A,B)
| m1_relset_1(C,A,B) ),
inference(conjunct,[],[normalize_1_6]) ).
fof(normalize_1_8,plain,
! [A,B,C] :
( ~ m1_relset_1(C,A,B)
| k6_relset_1(A,B,C) = k4_relat_1(C) ),
inference(canonicalize,[],[redefinition_k6_relset_1]) ).
fof(normalize_1_9,plain,
! [A,B,C] :
( ~ m1_relset_1(C,A,B)
| k6_relset_1(A,B,C) = k4_relat_1(C) ),
inference(specialize,[],[normalize_1_8]) ).
fof(normalize_1_10,plain,
! [A,B,C] :
( ~ m2_relset_1(C,B,A)
| ( k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)
& k2_funct_5(C) = k10_relset_1(B,A,C,B) ) ),
inference(canonicalize,[],[t51_relset_2]) ).
fof(normalize_1_11,plain,
! [A,B,C] :
( ~ m2_relset_1(C,B,A)
| ( k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)
& k2_funct_5(C) = k10_relset_1(B,A,C,B) ) ),
inference(specialize,[],[normalize_1_10]) ).
fof(normalize_1_12,plain,
! [A,B,C] :
( ( ~ m2_relset_1(C,B,A)
| k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A) )
& ( ~ m2_relset_1(C,B,A)
| k2_funct_5(C) = k10_relset_1(B,A,C,B) ) ),
inference(clausify,[],[normalize_1_11]) ).
fof(normalize_1_13,plain,
! [A,B,C] :
( ~ m2_relset_1(C,B,A)
| k2_funct_5(C) = k10_relset_1(B,A,C,B) ),
inference(conjunct,[],[normalize_1_12]) ).
cnf(refute_1_0,plain,
k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) != k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)),
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_1,plain,
m2_relset_1(skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_2,plain,
( ~ m2_relset_1(C,A,B)
| m1_relset_1(C,A,B) ),
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_3,plain,
( ~ m2_relset_1(skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4)
| m1_relset_1(skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4) ),
inference(subst,[],[refute_1_2:[bind(A,$fot(skolemFOFtoCNF_B_4)),bind(B,$fot(skolemFOFtoCNF_A_4)),bind(C,$fot(skolemFOFtoCNF_C_3))]]) ).
cnf(refute_1_4,plain,
m1_relset_1(skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4),
inference(resolve,[$cnf( m2_relset_1(skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4) )],[refute_1_1,refute_1_3]) ).
cnf(refute_1_5,plain,
( ~ m1_relset_1(C,A,B)
| k6_relset_1(A,B,C) = k4_relat_1(C) ),
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_6,plain,
( ~ m1_relset_1(skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4)
| k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3) = k4_relat_1(skolemFOFtoCNF_C_3) ),
inference(subst,[],[refute_1_5:[bind(A,$fot(skolemFOFtoCNF_B_4)),bind(B,$fot(skolemFOFtoCNF_A_4)),bind(C,$fot(skolemFOFtoCNF_C_3))]]) ).
cnf(refute_1_7,plain,
k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3) = k4_relat_1(skolemFOFtoCNF_C_3),
inference(resolve,[$cnf( m1_relset_1(skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4) )],[refute_1_4,refute_1_6]) ).
cnf(refute_1_8,plain,
k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) = k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)),
introduced(tautology,[refl,[$fot(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)))]]) ).
cnf(refute_1_9,plain,
( k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) != k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4))
| k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3) != k4_relat_1(skolemFOFtoCNF_C_3)
| k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) = k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) ),
introduced(tautology,[equality,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)),k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4))) ),[1,2],$fot(k4_relat_1(skolemFOFtoCNF_C_3))]]) ).
cnf(refute_1_10,plain,
( k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3) != k4_relat_1(skolemFOFtoCNF_C_3)
| k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) = k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) ),
inference(resolve,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)),k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4))) )],[refute_1_8,refute_1_9]) ).
cnf(refute_1_11,plain,
k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) = k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)),
inference(resolve,[$cnf( $equal(k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k4_relat_1(skolemFOFtoCNF_C_3)) )],[refute_1_7,refute_1_10]) ).
cnf(refute_1_12,plain,
( k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) != k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3))
| k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) != k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4))
| k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) = k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)) ),
introduced(tautology,[equality,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)),k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4))) ),[1],$fot(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)))]]) ).
cnf(refute_1_13,plain,
( k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) != k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3))
| k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) = k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)) ),
inference(resolve,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)),k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4))) )],[refute_1_11,refute_1_12]) ).
cnf(refute_1_14,plain,
k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)) = k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)),
introduced(tautology,[refl,[$fot(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)))]]) ).
cnf(refute_1_15,plain,
( k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)) != k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3))
| k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3) != k4_relat_1(skolemFOFtoCNF_C_3)
| k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)) = k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)) ),
introduced(tautology,[equality,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)),k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3))) ),[1,2],$fot(k4_relat_1(skolemFOFtoCNF_C_3))]]) ).
cnf(refute_1_16,plain,
( k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3) != k4_relat_1(skolemFOFtoCNF_C_3)
| k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)) = k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)) ),
inference(resolve,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)),k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3))) )],[refute_1_14,refute_1_15]) ).
cnf(refute_1_17,plain,
k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)) = k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)),
inference(resolve,[$cnf( $equal(k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k4_relat_1(skolemFOFtoCNF_C_3)) )],[refute_1_7,refute_1_16]) ).
cnf(refute_1_18,plain,
( k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) != k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3))
| k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)) != k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3))
| k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) = k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)),k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3))) ),[1],$fot(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)))]]) ).
cnf(refute_1_19,plain,
( k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) != k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3))
| k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) = k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)) ),
inference(resolve,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)),k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3))) )],[refute_1_17,refute_1_18]) ).
cnf(refute_1_20,plain,
( k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) != k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3))
| k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) = k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)) ),
inference(resolve,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)),k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3))) )],[refute_1_19,refute_1_13]) ).
cnf(refute_1_21,plain,
k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) != k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)),
inference(resolve,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)),k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k6_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3))) )],[refute_1_20,refute_1_0]) ).
cnf(refute_1_22,plain,
( ~ m2_relset_1(C,B,A)
| k2_funct_5(C) = k10_relset_1(B,A,C,B) ),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_23,plain,
( ~ m2_relset_1(skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4)
| k2_funct_5(skolemFOFtoCNF_C_3) = k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4) ),
inference(subst,[],[refute_1_22:[bind(A,$fot(skolemFOFtoCNF_A_4)),bind(B,$fot(skolemFOFtoCNF_B_4)),bind(C,$fot(skolemFOFtoCNF_C_3))]]) ).
cnf(refute_1_24,plain,
k2_funct_5(skolemFOFtoCNF_C_3) = k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4),
inference(resolve,[$cnf( m2_relset_1(skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4) )],[refute_1_1,refute_1_23]) ).
cnf(refute_1_25,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_26,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_27,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_25,refute_1_26]) ).
cnf(refute_1_28,plain,
( k2_funct_5(skolemFOFtoCNF_C_3) != k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)
| k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4) = k2_funct_5(skolemFOFtoCNF_C_3) ),
inference(subst,[],[refute_1_27:[bind(X,$fot(k2_funct_5(skolemFOFtoCNF_C_3))),bind(Y,$fot(k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)))]]) ).
cnf(refute_1_29,plain,
k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4) = k2_funct_5(skolemFOFtoCNF_C_3),
inference(resolve,[$cnf( $equal(k2_funct_5(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) )],[refute_1_24,refute_1_28]) ).
cnf(refute_1_30,plain,
k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) = k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)),
introduced(tautology,[refl,[$fot(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)))]]) ).
cnf(refute_1_31,plain,
( k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) != k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4))
| k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4) != k2_funct_5(skolemFOFtoCNF_C_3)
| k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) = k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)) ),
introduced(tautology,[equality,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)),k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4))) ),[1,3],$fot(k2_funct_5(skolemFOFtoCNF_C_3))]]) ).
cnf(refute_1_32,plain,
( k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4) != k2_funct_5(skolemFOFtoCNF_C_3)
| k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) = k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)) ),
inference(resolve,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)),k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4))) )],[refute_1_30,refute_1_31]) ).
cnf(refute_1_33,plain,
k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) = k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)),
inference(resolve,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4),k2_funct_5(skolemFOFtoCNF_C_3)) )],[refute_1_29,refute_1_32]) ).
cnf(refute_1_34,plain,
( k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) != k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3))
| k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)) != k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3))
| k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) = k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)),k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3))) ),[0],$fot(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)))]]) ).
cnf(refute_1_35,plain,
( k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)) != k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3))
| k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)) = k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)) ),
inference(resolve,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)),k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3))) )],[refute_1_33,refute_1_34]) ).
cnf(refute_1_36,plain,
k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)) != k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)),
inference(resolve,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k10_relset_1(skolemFOFtoCNF_B_4,skolemFOFtoCNF_A_4,skolemFOFtoCNF_C_3,skolemFOFtoCNF_B_4)),k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3))) )],[refute_1_35,refute_1_21]) ).
cnf(refute_1_37,plain,
k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)) = k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)),
introduced(tautology,[refl,[$fot(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)))]]) ).
cnf(refute_1_38,plain,
$false,
inference(resolve,[$cnf( $equal(k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3)),k10_relset_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,k4_relat_1(skolemFOFtoCNF_C_3),k2_funct_5(skolemFOFtoCNF_C_3))) )],[refute_1_37,refute_1_36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU444+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n004.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
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 10:45:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.52
% 0.18/0.52 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.53
%------------------------------------------------------------------------------