TSTP Solution File: SCT086-1 by GKC---0.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : SCT086-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n028.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 : 300s
% DateTime : Thu Aug 31 14:16:35 EDT 2023
% Result : Unsatisfiable 2.59s 0.87s
% Output : CNFRefutation 2.59s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_1)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
( $pr(v_thesis____)
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)))
| hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(v_n,X0)),X0)) ),
inference(cnf_transformation,[],[cls_conjecture_1]) ).
cnf('2',plain,
~ $pr(v_thesis____),
inference(cnf_transformation,[],[cls_conjecture_0]) ).
cnf('3',plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(X,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)))
| hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(v_n,X)),X)) ),
inference(simplify,[],['1','2']) ).
cnf('4',plain,
hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____)))),
inference(cnf_transformation,[],[cls_CHAINED_2]) ).
cnf('5',plain,
hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____)),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))),
inference(cnf_transformation,[],[cls_CHAINED_0]) ).
cnf('6',plain,
hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(v_n,v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____))),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____))),
inference(resolution,[then_simplify],['3','4','5']) ).
cnf('7',plain,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),X),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____))) ),
inference(cnf_transformation,[],[cls_CHAINED_1]) ).
cnf('8',plain,
( $pr(v_thesis____)
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),hAPP(v_n,X0)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))) ),
inference(cnf_transformation,[],[cls_conjecture_2]) ).
cnf('9',plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),hAPP(v_n,X)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(X,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))) ),
inference(simplify,[],['8','2']) ).
cnf('10',plain,
~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),hAPP(v_n,v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____))),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____)))),
inference(resolution,[then_simplify],['9','4','5']) ).
cnf('11',plain,
$false,
inference(resolution,[then_simplify],['6','7','10']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT086-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : gkc %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Aug 24 15:15:50 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.20/0.39
% 0.20/0.39 input clause set summed statistics:
% 0.20/0.39 ----------------------------------
% 0.20/0.39 in_clause_count: 560
% 0.20/0.39 in_rule_clause_count: 533
% 0.20/0.39 in_fact_clause_count: 27
% 0.20/0.39 in_answer_clause_count: 0
% 0.20/0.39 in_ground_clause_count: 31
% 0.20/0.39 in_unit_clause_count: 86
% 0.20/0.39 in_horn_clause_count: 463
% 0.20/0.39 in_pos_clause_count: 81
% 0.20/0.39 in_neg_clause_count: 47
% 0.20/0.39 in_poseq_clause_count: 179
% 0.20/0.39 in_negeq_clause_count: 42
% 0.20/0.39 in_unitposeq_clause_count: 22
% 0.20/0.39 in_chain_clause_count: 0
% 0.20/0.39 in_min_length: 1
% 0.20/0.39 in_max_length: 6
% 0.20/0.39 in_min_depth: 1
% 0.20/0.39 in_max_depth: 12
% 0.20/0.39 in_min_size: 2
% 0.20/0.39 in_max_size: 203
% 0.20/0.39 in_min_vars: 0
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% 0.20/0.39
% 0.20/0.39 auto guide:
% 0.20/0.39 -----------
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% 0.20/0.39
% 0.20/0.39
% 0.20/0.39 **** run 1 fork 0 starts with strategy
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% 0.20/0.56
% 0.20/0.56 **** run 11 fork 2 starts with strategy
% 0.20/0.56
% 0.20/0.56 **** run 12 fork 3 starts with strategy
% 0.20/0.56 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.56 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.56
% 0.20/0.56 **** run 16 fork 7 starts with strategy
% 0.20/0.56 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 0.20/0.56
% 0.20/0.56 **** run 10 fork 1 starts with strategy
% 0.20/0.56 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.20/0.56
% 0.20/0.56 **** run 9 fork 0 starts with strategy
% 0.20/0.56 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.56
% 0.20/0.56 **** run 13 fork 4 starts with strategy
% 0.20/0.56 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.20/0.57
% 0.20/0.57 **** run 15 fork 6 starts with strategy
% 0.20/0.57 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.20/0.57
% 0.20/0.57 **** run 14 fork 5 starts with strategy
% 0.20/0.57 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
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% 0.20/0.70
% 0.20/0.70 **** run 20 fork 3 starts with strategy
% 0.20/0.70 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.20/0.70
% 0.20/0.70 **** run 19 fork 2 starts with strategy
% 0.20/0.70 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 0.20/0.71
% 0.20/0.71 **** run 18 fork 1 starts with strategy
% 0.20/0.71 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":3}
% 0.20/0.71
% 0.20/0.71 **** run 21 fork 4 starts with strategy
% 0.20/0.71 {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.20/0.72
% 0.20/0.72 **** run 22 fork 5 starts with strategy
% 0.20/0.72 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
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% 0.20/0.73 **** run 17 fork 0 starts with strategy
% 0.20/0.73 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
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% 2.59/0.86
% 2.59/0.86 **** run 27 fork 2 starts with strategy
% 2.59/0.86 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"sine":1}
% 2.59/0.86 **** run 28 fork 3 starts with strategy
% 2.59/0.86
% 2.59/0.86 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 2.59/0.86
% 2.59/0.86 **** run 29 fork 4 starts with strategy
% 2.59/0.86 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 2.59/0.87
% 2.59/0.87 **** run 30 fork 5 starts with strategy
% 2.59/0.87 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"rewrite":0}
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% 2.59/0.87 fork 0: search terminated without proof.
% 2.59/0.87
% 2.59/0.87
% 2.59/0.87 result: proof found
% 2.59/0.87 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.59/0.87 by run 15 fork 6 strategy {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 2.59/0.87 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.59/0.87
% 2.59/0.87 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.59/0.87
% 2.59/0.87 run 15 fork 6 statistics:
% 2.59/0.87 ----------------------------------
% 2.59/0.87 this run seconds: 0.007862
% 2.59/0.87 total seconds: 0.216587
% 2.59/0.87 stat_given_used: 4
% 2.59/0.87 stat_given_used_at_endgame: 0
% 2.59/0.87 stat_given_candidates: 4
% 2.59/0.87 stat_given_candidates_at_endgame: 0
% 2.59/0.87 stat_given_candidates_h: 0
% 2.59/0.87 stat_binres_derived_cl: 113
% 2.59/0.87 stat_binres_derived_cl_h: 0
% 2.59/0.87 stat_factor_derived_cl: 0
% 2.59/0.87 stat_para_derived_cl: 76
% 2.59/0.87 stat_tautologies_discarded: 0
% 2.59/0.87 stat_forward_subsumed: 0
% 2.59/0.87 stat_derived_cut: 41
% 2.59/0.87 stat_derived_rewritten: 0
% 2.59/0.87 stat_weight_discarded_building: 0
% 2.59/0.87 stat_weight_discarded_cl: 0
% 2.59/0.87 stat_internlimit_discarded_cl: 0
% 2.59/0.87 stat_simplified: 2 simplified 0 derived 0 given
% 2.59/0.87 stat_kept_cl: 188
% 2.59/0.87 stat_built_cl: 1312
% 2.59/0.87 stat_hyperres_partial_cl: 0
% 2.59/0.87 stat_made_rewriters: 0
% 2.59/0.87 stat_backward_subsumed: 0
% 2.59/0.87 stat_propagated_subsumed: 0
% 2.59/0.87 stat_clsubs_attempted: 137
% 2.59/0.87 stat_clsubs_fact_groundunit_found: 0
% 2.59/0.87 stat_clsubs_rule_groundunit_found: 0
% 2.59/0.87 stat_clsubs_top_meta_attempted: 2107
% 2.59/0.87 stat_clsubs_top_meta_failed: 1970
% 2.59/0.87 stat_clsubs_top_meta_nonpref_attempted: 2107
% 2.59/0.87 stat_clsubs_top_meta_nonpref_succeeded: 769
% 2.59/0.87 stat_clsubs_top_meta_pref_attempted: 769
% 2.59/0.87 stat_clsubs_top_meta_pref1_succeeded: 145
% 2.59/0.87 stat_clsubs_top_meta_pref2_succeeded: 143
% 2.59/0.87 stat_clsubs_top_meta_pref3_succeeded: 137
% 2.59/0.87 stat_clsubs_top_meta_pref_succeeded: 137
% 2.59/0.87 stat_clsubs_meta_attempted: 253
% 2.59/0.87 stat_clsubs_meta_failed: 92
% 2.59/0.87 stat_clsubs_predsymbs_attempted: 0
% 2.59/0.87 stat_clsubs_unit_attempted: 49
% 2.59/0.87 stat_clsubs_full_attempted: 88
% 2.59/0.87 stat_forwardsubs_attempted: 189
% 2.59/0.87 stat_lit_hash_added: 445
% 2.59/0.87 stat_lit_hash_computed: 1688
% 2.59/0.87 stat_lit_hash_match_found: 41
% 2.59/0.87 stat_lit_hash_match_miss: 1970
% 2.59/0.87 stat_lit_hash_cut_ok: 41
% 2.59/0.87 stat_lit_strong_cut_ok: 0
% 2.59/0.87 stat_lit_hash_subsume_ok: 0
% 2.59/0.87 clqueue els 10000000 used 1
% 2.59/0.87 clactive els 10000000 used 562
% 2.59/0.87 clactivesubsume els 10000000 used 3169
% 2.59/0.87 queue_termbuf els 200000000 used 116149
% 2.59/0.87 hyper_termbuf els 100000000 used 1
% 2.59/0.87 active_termbuf els 100000000 used 43125
% 2.59/0.87 varstack els 5000 last used 1
% 2.59/0.87 given_termbuf els 10000000 last used 1
% 2.59/0.87 simplified_termbuf els 10000000 last used 1
% 2.59/0.87 derived_termbuf els 10000000 last used 316
% 2.59/0.87 wr_mallocs: 9699
% 2.59/0.87 wr_callocs: 21
% 2.59/0.87 wr_reallocs: 100
% 2.59/0.87 wr_frees: 4
% 2.59/0.87 wr_malloc_bytes: 4162910692
% 2.59/0.87 wr_calloc_bytes: 112065536
% 2.59/0.87 wr_realloc_bytes: 58576
% 2.59/0.87 wr_realloc_freebytes: 0
% 2.59/0.87 ----------------------------------
%------------------------------------------------------------------------------