TSTP Solution File: GEO579+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO579+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.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 : Sat Jul 16 05:27:27 EDT 2022
% Result : Theorem 0.48s 0.70s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 7
% Syntax : Number of formulae : 125 ( 48 unt; 0 def)
% Number of atoms : 252 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 207 ( 80 ~; 75 |; 43 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 154 ( 0 sgn 108 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ) ).
fof(ruleD2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ) ).
fof(ruleD19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ) ).
fof(ruleD39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ) ).
fof(exemplo6GDDFULL416041,conjecture,
! [A,B,C,I,Y,L,X] :
( ( eqangle(I,A,A,B,I,A,A,C)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,C,C,A,I,C,C,B)
& perp(Y,I,A,C)
& coll(Y,A,C)
& perp(L,I,B,C)
& coll(L,B,C)
& perp(X,B,A,I)
& coll(X,A,I) )
=> coll(X,Y,L) ) ).
fof(subgoal_0,plain,
! [A,B,C,I,Y,L,X] :
( ( eqangle(I,A,A,B,I,A,A,C)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,C,C,A,I,C,C,B)
& perp(Y,I,A,C)
& coll(Y,A,C)
& perp(L,I,B,C)
& coll(L,B,C)
& perp(X,B,A,I)
& coll(X,A,I) )
=> coll(X,Y,L) ),
inference(strip,[],[exemplo6GDDFULL416041]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,I,Y,L,X] :
( ( eqangle(I,A,A,B,I,A,A,C)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,C,C,A,I,C,C,B)
& perp(Y,I,A,C)
& coll(Y,A,C)
& perp(L,I,B,C)
& coll(L,B,C)
& perp(X,B,A,I)
& coll(X,A,I) )
=> coll(X,Y,L) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_1,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_3,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_5,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_7,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD39]) ).
fof(normalize_0_9,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A,B,C,D,P,Q] :
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(clausify,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
? [A,B,C,I,L,X,Y] :
( ~ coll(X,Y,L)
& coll(L,B,C)
& coll(X,A,I)
& coll(Y,A,C)
& eqangle(I,A,A,B,I,A,A,C)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,C,C,A,I,C,C,B)
& perp(L,I,B,C)
& perp(X,B,A,I)
& perp(Y,I,A,C) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_12,plain,
( ~ coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y,skolemFOFtoCNF_L)
& coll(skolemFOFtoCNF_L,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I)
& coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
& eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& perp(skolemFOFtoCNF_L,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& perp(skolemFOFtoCNF_X_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I)
& perp(skolemFOFtoCNF_Y,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(skolemize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[ruleD19]) ).
fof(normalize_0_15,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_17,plain,
eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_18,plain,
coll(skolemFOFtoCNF_L,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_19,plain,
coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_20,plain,
~ coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y,skolemFOFtoCNF_L),
inference(conjunct,[],[normalize_0_12]) ).
cnf(refute_0_0,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_L,skolemFOFtoCNF_Y)
| coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y,skolemFOFtoCNF_L) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_X_1)),bind(B,$fot(skolemFOFtoCNF_L)),bind(C,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_2,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
( ~ coll(skolemFOFtoCNF_L,skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y)
| coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_L,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_L)),bind(B,$fot(skolemFOFtoCNF_X_1)),bind(C,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_4,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_5,plain,
( ~ coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_B_1,D)
| ~ coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_B_1,skolemFOFtoCNF_L)
| coll(skolemFOFtoCNF_L,D,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_Y)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_6,plain,
( ~ coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_L,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_B_1,skolemFOFtoCNF_L) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_Y)),bind(B,$fot(skolemFOFtoCNF_L)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_7,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Y)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_8,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_Y,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_Y)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_9,plain,
( ~ coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_Y,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_Y)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_10,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_11,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_12,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_13,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_14,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(P,$fot(skolemFOFtoCNF_I)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_15,plain,
eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_16,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_17,plain,
( ~ eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_I)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(skolemFOFtoCNF_A)),bind(V,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_18,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_15,refute_0_17]) ).
cnf(refute_0_19,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A) )],[refute_0_18,refute_0_14]) ).
cnf(refute_0_20,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_19,refute_0_12]) ).
cnf(refute_0_21,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_20,refute_0_10]) ).
cnf(refute_0_22,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_651)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(X_651,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_651)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_23,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_651)
| coll(X_651,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_Y)
| coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_23:[bind(X_651,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_25,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Y,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_Y)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_26,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_Y,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_Y)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_27,plain,
coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_28,plain,
( ~ coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_Y,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_Y)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_29,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_Y,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Y),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_Y,skolemFOFtoCNF_C_1) )],[refute_0_29,refute_0_26]) ).
cnf(refute_0_31,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_32,plain,
( ~ para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_33,plain,
( ~ eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_I)),bind(Q,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_34,plain,
eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_35,plain,
( ~ eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_I)),bind(Q,$fot(skolemFOFtoCNF_C_1)),bind(U,$fot(skolemFOFtoCNF_C_1)),bind(V,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_36,plain,
eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) )],[refute_0_36,refute_0_33]) ).
cnf(refute_0_38,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_37,refute_0_32]) ).
cnf(refute_0_39,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_38,refute_0_31]) ).
cnf(refute_0_40,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,X_652)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_652,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_652))]]) ).
cnf(refute_0_41,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,X_652)
| coll(skolemFOFtoCNF_B_1,X_652,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Y)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Y,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_41:[bind(X_652,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_43,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Y,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Y) )],[refute_0_30,refute_0_42]) ).
cnf(refute_0_44,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_Y),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Y,skolemFOFtoCNF_A) )],[refute_0_43,refute_0_25]) ).
cnf(refute_0_45,plain,
coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_Y) )],[refute_0_44,refute_0_24]) ).
cnf(refute_0_46,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_Y,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_45,refute_0_9]) ).
cnf(refute_0_47,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Y),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_Y,skolemFOFtoCNF_B_1) )],[refute_0_46,refute_0_8]) ).
cnf(refute_0_48,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Y),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Y) )],[refute_0_47,refute_0_7]) ).
cnf(refute_0_49,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_L)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_L) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_50,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_L,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_L) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_L)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_51,plain,
coll(skolemFOFtoCNF_L,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_52,plain,
( ~ coll(skolemFOFtoCNF_L,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_L,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_L)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_53,plain,
coll(skolemFOFtoCNF_L,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_L,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
( ~ coll(skolemFOFtoCNF_L,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_L,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_L)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_55,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_L,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_L,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_L),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_L,skolemFOFtoCNF_B_1) )],[refute_0_55,refute_0_50]) ).
cnf(refute_0_57,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_L),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_L) )],[refute_0_56,refute_0_49]) ).
cnf(refute_0_58,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_651)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_L)
| coll(X_651,skolemFOFtoCNF_L,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(X_651)),bind(D,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_59,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_651)
| coll(X_651,skolemFOFtoCNF_L,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_L) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Y)
| coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_L,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_59:[bind(X_651,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_61,plain,
coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_L,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Y) )],[refute_0_48,refute_0_60]) ).
cnf(refute_0_62,plain,
coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_B_1,skolemFOFtoCNF_L),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_L,skolemFOFtoCNF_B_1) )],[refute_0_61,refute_0_6]) ).
cnf(refute_0_63,plain,
( ~ coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_B_1,D)
| coll(skolemFOFtoCNF_L,D,skolemFOFtoCNF_Y) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_B_1,skolemFOFtoCNF_L) )],[refute_0_62,refute_0_5]) ).
cnf(refute_0_64,plain,
( ~ coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_B_1,skolemFOFtoCNF_X_1)
| coll(skolemFOFtoCNF_L,skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_63:[bind(D,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_0_65,plain,
( ~ coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_X_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_B_1,skolemFOFtoCNF_X_1) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_Y)),bind(B,$fot(skolemFOFtoCNF_X_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_66,plain,
( ~ coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_X_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_X_1)),bind(B,$fot(skolemFOFtoCNF_Y)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_67,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,D)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_X_1)
| coll(skolemFOFtoCNF_X_1,D,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_0_68,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_X_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_X_1) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_X_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_69,plain,
( ~ coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_X_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_X_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_70,plain,
coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_71,plain,
( ~ coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I)
| coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_X_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_72,plain,
coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
( ~ coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_X_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_X_1)),bind(B,$fot(skolemFOFtoCNF_I)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_74,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_X_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_76,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_77,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_21,refute_0_76]) ).
cnf(refute_0_78,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_77,refute_0_75]) ).
cnf(refute_0_79,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_651)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(X_651,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_651)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_80,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_651)
| coll(X_651,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_X_1)
| coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_80:[bind(X_651,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_0_82,plain,
coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_X_1) )],[refute_0_74,refute_0_81]) ).
cnf(refute_0_83,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_X_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_82,refute_0_69]) ).
cnf(refute_0_84,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_X_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_X_1,skolemFOFtoCNF_A) )],[refute_0_83,refute_0_68]) ).
cnf(refute_0_85,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,D)
| coll(skolemFOFtoCNF_X_1,D,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_X_1) )],[refute_0_84,refute_0_67]) ).
cnf(refute_0_86,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_Y)
| coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_85:[bind(D,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_87,plain,
coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_Y) )],[refute_0_44,refute_0_86]) ).
cnf(refute_0_88,plain,
coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_X_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y,skolemFOFtoCNF_B_1) )],[refute_0_87,refute_0_66]) ).
cnf(refute_0_89,plain,
coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_B_1,skolemFOFtoCNF_X_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_X_1,skolemFOFtoCNF_B_1) )],[refute_0_88,refute_0_65]) ).
cnf(refute_0_90,plain,
coll(skolemFOFtoCNF_L,skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_B_1,skolemFOFtoCNF_X_1) )],[refute_0_89,refute_0_64]) ).
cnf(refute_0_91,plain,
coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_L,skolemFOFtoCNF_Y),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_L,skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y) )],[refute_0_90,refute_0_3]) ).
cnf(refute_0_92,plain,
coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y,skolemFOFtoCNF_L),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_L,skolemFOFtoCNF_Y) )],[refute_0_91,refute_0_1]) ).
cnf(refute_0_93,plain,
~ coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y,skolemFOFtoCNF_L),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_94,plain,
$false,
inference(resolve,[$cnf( coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y,skolemFOFtoCNF_L) )],[refute_0_92,refute_0_93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO579+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n015.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 : Sat Jun 18 06:01:13 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.48/0.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.70
% 0.48/0.70 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.48/0.71
%------------------------------------------------------------------------------