TSTP Solution File: GEO547+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO547+1 : TPTP v8.1.0. Released v7.5.0.
% 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 : Sat Jul 16 05:27:07 EDT 2022
% Result : Theorem 26.90s 27.13s
% Output : CNFRefutation 26.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 4
% Syntax : Number of formulae : 98 ( 39 unt; 0 def)
% Number of atoms : 202 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 169 ( 65 ~; 60 |; 38 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 89 ( 0 sgn 57 !; 10 ?)
% 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(exemplo6GDDFULL012007,conjecture,
! [A,B,C,O,D,E,F,G,NWPNT1] :
( ( circle(O,A,B,C)
& circle(O,A,D,NWPNT1)
& perp(E,D,B,C)
& coll(E,B,C)
& perp(F,D,A,C)
& coll(F,A,C)
& perp(G,D,A,B)
& coll(G,A,B) )
=> coll(E,F,G) ) ).
fof(subgoal_0,plain,
! [A,B,C,O,D,E,F,G,NWPNT1] :
( ( circle(O,A,B,C)
& circle(O,A,D,NWPNT1)
& perp(E,D,B,C)
& coll(E,B,C)
& perp(F,D,A,C)
& coll(F,A,C)
& perp(G,D,A,B)
& coll(G,A,B) )
=> coll(E,F,G) ),
inference(strip,[],[exemplo6GDDFULL012007]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,O,D,E,F,G,NWPNT1] :
( ( circle(O,A,B,C)
& circle(O,A,D,NWPNT1)
& perp(E,D,B,C)
& coll(E,B,C)
& perp(F,D,A,C)
& coll(F,A,C)
& perp(G,D,A,B)
& coll(G,A,B) )
=> coll(E,F,G) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_1,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_3,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
? [A,B,C,D,E,F,G,O] :
( ~ coll(E,F,G)
& circle(O,A,B,C)
& coll(E,B,C)
& coll(F,A,C)
& coll(G,A,B)
& perp(E,D,B,C)
& perp(F,D,A,C)
& perp(G,D,A,B)
& ? [NWPNT1] : circle(O,A,D,NWPNT1) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_5,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G)
& circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& perp(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& perp(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& perp(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& ? [NWPNT1] : circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_D,NWPNT1) ),
inference(skolemize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_8,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_10,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_11,plain,
~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G),
inference(conjunct,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_2,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_4,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_5,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_6,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_7,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_8,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_10,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_10,refute_0_5]) ).
cnf(refute_0_12,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_13,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,X_264)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| coll(X_264,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_264)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_14,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,X_264)
| coll(X_264,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_14:[bind(X_264,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_16,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_17,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_18,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_19,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_10,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_264)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(X_264,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_264)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_21,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_264)
| coll(X_264,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_21:[bind(X_264,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_23,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_24,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_25,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_26,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_27,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_28,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_29,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_31,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) )],[refute_0_31,refute_0_26]) ).
cnf(refute_0_33,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_32,refute_0_25]) ).
cnf(refute_0_34,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_265)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,X_265,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_265))]]) ).
cnf(refute_0_35,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_265)
| coll(skolemFOFtoCNF_E,X_265,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_35:[bind(X_265,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_37,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_38,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_39,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_40,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_42,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,skolemFOFtoCNF_A) )],[refute_0_42,refute_0_37]) ).
cnf(refute_0_44,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_21:[bind(X_264,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_45,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_45,refute_0_36]) ).
cnf(refute_0_47,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_46,refute_0_24]) ).
cnf(refute_0_48,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_47,refute_0_23]) ).
cnf(refute_0_49,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E) )],[refute_0_48,refute_0_22]) ).
cnf(refute_0_50,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_49,refute_0_17]) ).
cnf(refute_0_51,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A) )],[refute_0_50,refute_0_16]) ).
cnf(refute_0_52,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_E) )],[refute_0_51,refute_0_15]) ).
cnf(refute_0_53,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) )],[refute_0_52,refute_0_4]) ).
cnf(refute_0_54,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,C)
| ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G)
| coll(C,skolemFOFtoCNF_G,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_55,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_G,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_56,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_57,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_58,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_59,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,skolemFOFtoCNF_A) )],[refute_0_42,refute_0_58]) ).
cnf(refute_0_60,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_265)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_G,X_265,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_G)),bind(D,$fot(X_265))]]) ).
cnf(refute_0_61,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_265)
| coll(skolemFOFtoCNF_G,X_265,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_G) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_61:[bind(X_265,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_63,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_64,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_45,refute_0_63]) ).
cnf(refute_0_65,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_64,refute_0_62]) ).
cnf(refute_0_66,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_65,refute_0_57]) ).
cnf(refute_0_67,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) )],[refute_0_66,refute_0_56]) ).
cnf(refute_0_68,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_265)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,X_265,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_265))]]) ).
cnf(refute_0_69,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_265)
| coll(skolemFOFtoCNF_E,X_265,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_32,refute_0_68]) ).
cnf(refute_0_70,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_G,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_69:[bind(X_265,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_71,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_G,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G) )],[refute_0_67,refute_0_70]) ).
cnf(refute_0_72,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_G,skolemFOFtoCNF_C_1) )],[refute_0_71,refute_0_55]) ).
cnf(refute_0_73,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_G,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G) )],[refute_0_72,refute_0_54]) ).
cnf(refute_0_74,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_73:[bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_75,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F) )],[refute_0_53,refute_0_74]) ).
cnf(refute_0_76,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_E) )],[refute_0_75,refute_0_3]) ).
cnf(refute_0_77,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_G) )],[refute_0_76,refute_0_1]) ).
cnf(refute_0_78,plain,
~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_79,plain,
$false,
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G) )],[refute_0_77,refute_0_78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO547+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 04:18:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 26.90/27.13 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.90/27.13
% 26.90/27.13 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 26.90/27.13
%------------------------------------------------------------------------------