%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL400-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:08:29 PM UTC 2026
% Result : Unsatisfiable 15.67s 2.67s
% Output : CNFRefutation 15.67s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cn_1ERROR: Could not build tree for root '105'ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) = true,
inference(cnf_transformation,[],[cn_1]) ).
cnf('2',plain,
ifeq(is_a_theorem(implies(X,Y)),true,ifeq(is_a_theorem(X),true,is_a_theorem(Y),true),true) = true,
inference(cnf_transformation,[],[condensed_detachment]) ).
cnf('3',plain,
ifeq(true,true,ifeq(is_a_theorem(implies(X3,Y3)),true,is_a_theorem(implies(implies(Y3,Z3),implies(X3,Z3))),true),true) = true,
inference(paramodulation,[],['1','2']) ).
cnf('4',plain,
ifeq(X,X,Y,Z) = Y,
inference(cnf_transformation,[],[ifeq_axiom]) ).
cnf('5',plain,
ifeq(is_a_theorem(implies(X,Y)),true,is_a_theorem(implies(implies(Y,Z),implies(X,Z))),true) = true,
inference(simplify,[],['3','4']) ).
cnf('6',plain,
ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X3,Y3),implies(Z3,Y3)),U3),implies(implies(Z3,X3),U3))),true) = true,
inference(paramodulation,[],['1','5']) ).
cnf('7',plain,
is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(implies(Z,X),U))) = true,
inference(simplify,[],['6','4']) ).
cnf('8',plain,
ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X3,Y3),implies(Z3,Y3)),U3)),true,is_a_theorem(implies(implies(Z3,X3),U3)),true),true) = true,
inference(paramodulation,[],['7','2']) ).
cnf('9',plain,
ifeq(is_a_theorem(implies(implies(implies(X,Y),implies(Z,Y)),U)),true,is_a_theorem(implies(implies(Z,X),U)),true) = true,
inference(simplify,[],['8','4']) ).
cnf('10',plain,
ifeq(true,true,is_a_theorem(implies(implies(X3,implies(Y3,Z3)),implies(implies(U3,Y3),implies(X3,implies(U3,Z3))))),true) = true,
inference(paramodulation,[],['7','9']) ).
cnf('11',plain,
is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(U,Y),implies(X,implies(U,Z))))) = true,
inference(simplify,[],['10','4']) ).
cnf('12',plain,
ifeq(true,true,is_a_theorem(implies(implies(X3,Y3),implies(implies(Z3,X3),implies(implies(Y3,U3),implies(Z3,U3))))),true) = true,
inference(paramodulation,[],['11','9']) ).
cnf('13',plain,
is_a_theorem(implies(implies(X,Y),implies(implies(Z,X),implies(implies(Y,U),implies(Z,U))))) = true,
inference(simplify,[],['12','4']) ).
cnf('14',plain,
is_a_theorem(implies(implies(not(X),X),X)) = true,
inference(cnf_transformation,[],[cn_2]) ).
cnf('15',plain,
ifeq(is_a_theorem(implies(implies(implies(not(X3),X3),X3),Y3)),true,ifeq(true,true,is_a_theorem(Y3),true),true) = true,
inference(paramodulation,[],['14','2']) ).
cnf('16',plain,
ifeq(is_a_theorem(implies(implies(implies(not(X),X),X),Y)),true,is_a_theorem(Y),true) = true,
inference(simplify,[],['15','4']) ).
cnf('17',plain,
ifeq(true,true,is_a_theorem(implies(implies(X3,implies(not(Y3),Y3)),implies(implies(Y3,Z3),implies(X3,Z3)))),true) = true,
inference(paramodulation,[],['13','16']) ).
cnf('18',plain,
is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(implies(Y,Z),implies(X,Z)))) = true,
inference(simplify,[],['17','4']) ).
cnf('19',plain,
ifeq(true,true,is_a_theorem(implies(implies(not(X3),Y3),implies(implies(X3,Z3),implies(implies(Y3,X3),Z3)))),true) = true,
inference(paramodulation,[],['18','9']) ).
cnf('20',plain,
is_a_theorem(implies(implies(not(X),Y),implies(implies(X,Z),implies(implies(Y,X),Z)))) = true,
inference(simplify,[],['19','4']) ).
cnf('21',plain,
is_a_theorem(implies(X,implies(not(X),Y))) = true,
inference(cnf_transformation,[],[cn_3]) ).
cnf('22',plain,
ifeq(true,true,is_a_theorem(implies(implies(implies(not(X3),Y3),Z3),implies(X3,Z3))),true) = true,
inference(paramodulation,[],['21','5']) ).
cnf('23',plain,
is_a_theorem(implies(implies(implies(not(X),Y),Z),implies(X,Z))) = true,
inference(simplify,[],['22','4']) ).
cnf('24',plain,
ifeq(true,true,ifeq(is_a_theorem(implies(implies(not(X3),Y3),Z3)),true,is_a_theorem(implies(X3,Z3)),true),true) = true,
inference(paramodulation,[],['23','2']) ).
cnf('25',plain,
ifeq(is_a_theorem(implies(implies(not(X),Y),Z)),true,is_a_theorem(implies(X,Z)),true) = true,
inference(simplify,[],['24','4']) ).
cnf('26',plain,
ifeq(true,true,is_a_theorem(implies(X3,X3)),true) = true,
inference(paramodulation,[],['14','25']) ).
cnf('27',plain,
is_a_theorem(implies(X,X)) = true,
inference(simplify,[],['26','4']) ).
cnf('28',plain,
ifeq(true,true,ifeq(is_a_theorem(X3),true,is_a_theorem(implies(not(X3),Y3)),true),true) = true,
inference(paramodulation,[],['21','2']) ).
cnf('29',plain,
ifeq(is_a_theorem(X),true,is_a_theorem(implies(not(X),Y)),true) = true,
inference(simplify,[],['28','4']) ).
cnf('30',plain,
ifeq(true,true,is_a_theorem(implies(not(implies(X3,X3)),Y3)),true) = true,
inference(paramodulation,[],['27','29']) ).
cnf('31',plain,
is_a_theorem(implies(not(implies(X,X)),Y)) = true,
inference(simplify,[],['30','4']) ).
cnf('32',plain,
ifeq(is_a_theorem(implies(implies(not(implies(X3,X3)),Y3),Z3)),true,ifeq(true,true,is_a_theorem(Z3),true),true) = true,
inference(paramodulation,[],['31','2']) ).
cnf('33',plain,
ifeq(is_a_theorem(implies(implies(not(implies(X,X)),Y),Z)),true,is_a_theorem(Z),true) = true,
inference(simplify,[],['32','4']) ).
cnf('34',plain,
ifeq(true,true,is_a_theorem(implies(implies(implies(X3,X3),Y3),implies(implies(Z3,implies(X3,X3)),Y3))),true) = true,
inference(paramodulation,[],['20','33']) ).
cnf('35',plain,
is_a_theorem(implies(implies(implies(X,X),Y),implies(implies(Z,implies(X,X)),Y))) = true,
inference(simplify,[],['34','4']) ).
cnf('36',plain,
ifeq(is_a_theorem(implies(implies(X3,X3),Y3)),true,ifeq(true,true,is_a_theorem(Y3),true),true) = true,
inference(paramodulation,[],['27','2']) ).
cnf('37',plain,
ifeq(is_a_theorem(implies(implies(X,X),Y)),true,is_a_theorem(Y),true) = true,
inference(simplify,[],['36','4']) ).
cnf('38',plain,
ifeq(true,true,is_a_theorem(implies(implies(X3,implies(Y3,Y3)),implies(Y3,Y3))),true) = true,
inference(paramodulation,[],['35','37']) ).
cnf('39',plain,
is_a_theorem(implies(implies(X,implies(Y,Y)),implies(Y,Y))) = true,
inference(simplify,[],['38','4']) ).
cnf('40',plain,
ifeq(true,true,is_a_theorem(implies(X3,implies(Y3,Y3))),true) = true,
inference(paramodulation,[],['39','25']) ).
cnf('41',plain,
is_a_theorem(implies(X,implies(Y,Y))) = true,
inference(simplify,[],['40','4']) ).
cnf('42',plain,
ifeq(true,true,is_a_theorem(implies(implies(implies(X3,X3),Y3),implies(Z3,Y3))),true) = true,
inference(paramodulation,[],['41','5']) ).
cnf('43',plain,
is_a_theorem(implies(implies(implies(X,X),Y),implies(Z,Y))) = true,
inference(simplify,[],['42','4']) ).
cnf('44',plain,
ifeq(true,true,is_a_theorem(implies(implies(implies(X3,Y3),Z3),implies(implies(implies(U3,U3),Y3),Z3))),true) = true,
inference(paramodulation,[],['43','5']) ).
cnf('45',plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(implies(U,U),Y),Z))) = true,
inference(simplify,[],['44','4']) ).
cnf('46',plain,
ifeq(true,true,ifeq(is_a_theorem(implies(implies(X3,Y3),Z3)),true,is_a_theorem(implies(implies(implies(U3,U3),Y3),Z3)),true),true) = true,
inference(paramodulation,[],['45','2']) ).
cnf('47',plain,
ifeq(is_a_theorem(implies(implies(X,Y),Z)),true,is_a_theorem(implies(implies(implies(U,U),Y),Z)),true) = true,
inference(simplify,[],['46','4']) ).
cnf('48',plain,
ifeq(true,true,is_a_theorem(implies(implies(implies(X3,X3),implies(not(Y3),Y3)),implies(implies(Y3,Z3),implies(U3,Z3)))),true) = true,
inference(paramodulation,[],['18','47']) ).
cnf('49',plain,
is_a_theorem(implies(implies(implies(X,X),implies(not(Y),Y)),implies(implies(Y,Z),implies(U,Z)))) = true,
inference(simplify,[],['48','4']) ).
cnf('50',plain,
ifeq(true,true,is_a_theorem(implies(implies(not(X3),X3),implies(implies(X3,Y3),implies(Z3,Y3)))),true) = true,
inference(paramodulation,[],['49','9']) ).
cnf('51',plain,
is_a_theorem(implies(implies(not(X),X),implies(implies(X,Y),implies(Z,Y)))) = true,
inference(simplify,[],['50','4']) ).
cnf('52',plain,
ifeq(true,true,is_a_theorem(implies(X3,implies(implies(X3,Y3),implies(Z3,Y3)))),true) = true,
inference(paramodulation,[],['51','25']) ).
cnf('53',plain,
is_a_theorem(implies(X,implies(implies(X,Y),implies(Z,Y)))) = true,
inference(simplify,[],['52','4']) ).
cnf('54',plain,
ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X3,Y3),implies(Z3,Y3)),U3),implies(X3,U3))),true) = true,
inference(paramodulation,[],['53','5']) ).
cnf('55',plain,
is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(X,U))) = true,
inference(simplify,[],['54','4']) ).
cnf('56',plain,
ifeq(is_a_theorem(implies(implies(X3,implies(Y3,Y3)),Z3)),true,ifeq(true,true,is_a_theorem(Z3),true),true) = true,
inference(paramodulation,[],['41','2']) ).
cnf('57',plain,
ifeq(is_a_theorem(implies(implies(X,implies(Y,Y)),Z)),true,is_a_theorem(Z),true) = true,
inference(simplify,[],['56','4']) ).
cnf('58',plain,
ifeq(true,true,is_a_theorem(implies(implies(X3,Y3),implies(implies(implies(Z3,Z3),X3),Y3))),true) = true,
inference(paramodulation,[],['20','57']) ).
cnf('59',plain,
is_a_theorem(implies(implies(X,Y),implies(implies(implies(Z,Z),X),Y))) = true,
inference(simplify,[],['58','4']) ).
cnf('60',plain,
ifeq(true,true,is_a_theorem(implies(implies(implies(X3,X3),Y3),Y3)),true) = true,
inference(paramodulation,[],['59','37']) ).
cnf('61',plain,
is_a_theorem(implies(implies(implies(X,X),Y),Y)) = true,
inference(simplify,[],['60','4']) ).
cnf('62',plain,
ifeq(is_a_theorem(implies(implies(implies(implies(X3,X3),Y3),Y3),Z3)),true,ifeq(true,true,is_a_theorem(Z3),true),true) = true,
inference(paramodulation,[],['61','2']) ).
cnf('63',plain,
ifeq(is_a_theorem(implies(implies(implies(implies(X,X),Y),Y),Z)),true,is_a_theorem(Z),true) = true,
inference(simplify,[],['62','4']) ).
cnf('64',plain,
ifeq(true,true,is_a_theorem(implies(X3,implies(Y3,X3))),true) = true,
inference(paramodulation,[],['55','63']) ).
cnf('65',plain,
is_a_theorem(implies(X,implies(Y,X))) = true,
inference(simplify,[],['64','4']) ).
cnf('66',plain,
ifeq(true,true,is_a_theorem(implies(implies(implies(X3,Y3),Z3),implies(Y3,Z3))),true) = true,
inference(paramodulation,[],['65','5']) ).
cnf('67',plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))) = true,
inference(simplify,[],['66','4']) ).
cnf('68',plain,
ifeq(true,true,ifeq(is_a_theorem(implies(implies(X3,Y3),Z3)),true,is_a_theorem(implies(Y3,Z3)),true),true) = true,
inference(paramodulation,[],['67','2']) ).
cnf('69',plain,
ifeq(is_a_theorem(implies(implies(X,Y),Z)),true,is_a_theorem(implies(Y,Z)),true) = true,
inference(simplify,[],['68','4']) ).
cnf('70',plain,
ifeq(true,true,is_a_theorem(implies(implies(X3,Y3),implies(implies(Z3,X3),implies(U3,implies(Z3,Y3))))),true) = true,
inference(paramodulation,[],['11','69']) ).
cnf('71',plain,
is_a_theorem(implies(implies(X,Y),implies(implies(Z,X),implies(U,implies(Z,Y))))) = true,
inference(simplify,[],['70','4']) ).
cnf('72',plain,
ifeq(true,true,is_a_theorem(implies(implies(X3,implies(not(Y3),Y3)),implies(Z3,implies(X3,Y3)))),true) = true,
inference(paramodulation,[],['71','16']) ).
cnf('73',plain,
is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(Z,implies(X,Y)))) = true,
inference(simplify,[],['72','4']) ).
cnf('74',plain,
ifeq(true,true,is_a_theorem(implies(implies(not(X3),Y3),implies(Z3,implies(implies(Y3,X3),X3)))),true) = true,
inference(paramodulation,[],['73','9']) ).
cnf('75',plain,
is_a_theorem(implies(implies(not(X),Y),implies(Z,implies(implies(Y,X),X)))) = true,
inference(simplify,[],['74','4']) ).
cnf('76',plain,
ifeq(true,true,is_a_theorem(implies(implies(X3,implies(implies(Y3,Y3),Z3)),implies(U3,implies(X3,Z3)))),true) = true,
inference(paramodulation,[],['71','63']) ).
cnf('77',plain,
is_a_theorem(implies(implies(X,implies(implies(Y,Y),Z)),implies(U,implies(X,Z)))) = true,
inference(simplify,[],['76','4']) ).
cnf('78',plain,
ifeq(is_a_theorem(implies(implies(implies(implies(not(X3),Y3),Z3),implies(X3,Z3)),U3)),true,ifeq(true,true,is_a_theorem(U3),true),true) = true,
inference(paramodulation,[],['23','2']) ).
cnf('79',plain,
ifeq(is_a_theorem(implies(implies(implies(implies(not(X),Y),Z),implies(X,Z)),U)),true,is_a_theorem(U),true) = true,
inference(simplify,[],['78','4']) ).
cnf('80',plain,
ifeq(true,true,is_a_theorem(implies(not(X3),implies(X3,implies(Y3,Z3)))),true) = true,
inference(paramodulation,[],['55','79']) ).
cnf('81',plain,
is_a_theorem(implies(not(X),implies(X,implies(Y,Z)))) = true,
inference(simplify,[],['80','4']) ).
cnf('82',plain,
ifeq(true,true,is_a_theorem(implies(implies(implies(X3,implies(Y3,Z3)),U3),implies(not(X3),U3))),true) = true,
inference(paramodulation,[],['81','5']) ).
cnf('83',plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(not(X),U))) = true,
inference(simplify,[],['82','4']) ).
cnf('84',plain,
ifeq(true,true,ifeq(is_a_theorem(implies(implies(X3,implies(Y3,Z3)),U3)),true,is_a_theorem(implies(not(X3),U3)),true),true) = true,
inference(paramodulation,[],['83','2']) ).
cnf('85',plain,
ifeq(is_a_theorem(implies(implies(X,implies(Y,Z)),U)),true,is_a_theorem(implies(not(X),U)),true) = true,
inference(simplify,[],['84','4']) ).
cnf('86',plain,
ifeq(true,true,is_a_theorem(implies(not(X3),implies(Y3,implies(X3,Z3)))),true) = true,
inference(paramodulation,[],['77','85']) ).
cnf('87',plain,
is_a_theorem(implies(not(X),implies(Y,implies(X,Z)))) = true,
inference(simplify,[],['86','4']) ).
cnf('88',plain,
ifeq(true,true,is_a_theorem(implies(implies(implies(X3,implies(Y3,Z3)),U3),implies(not(Y3),U3))),true) = true,
inference(paramodulation,[],['87','5']) ).
cnf('89',plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(not(Y),U))) = true,
inference(simplify,[],['88','4']) ).
cnf('90',plain,
ifeq(true,true,is_a_theorem(implies(not(X3),implies(X3,Y3))),true) = true,
inference(paramodulation,[],['89','63']) ).
cnf('91',plain,
is_a_theorem(implies(not(X),implies(X,Y))) = true,
inference(simplify,[],['90','4']) ).
cnf('92',plain,
ifeq(is_a_theorem(implies(implies(not(X3),implies(X3,Y3)),Z3)),true,ifeq(true,true,is_a_theorem(Z3),true),true) = true,
inference(paramodulation,[],['91','2']) ).
cnf('93',plain,
ifeq(is_a_theorem(implies(implies(not(X),implies(X,Y)),Z)),true,is_a_theorem(Z),true) = true,
inference(simplify,[],['92','4']) ).
cnf('94',plain,
ifeq(true,true,is_a_theorem(implies(X3,implies(implies(implies(Y3,Z3),Y3),Y3))),true) = true,
inference(paramodulation,[],['75','93']) ).
cnf('95',plain,
is_a_theorem(implies(X,implies(implies(implies(Y,Z),Y),Y))) = true,
inference(simplify,[],['94','4']) ).
cnf('96',plain,
ifeq(true,true,is_a_theorem(implies(implies(implies(X3,Y3),X3),X3)),true) = true,
inference(paramodulation,[],['95','93']) ).
cnf('97',plain,
is_a_theorem(implies(implies(implies(X,Y),X),X)) = true,
inference(simplify,[],['96','4']) ).
cnf('98',plain,
ifeq(true,true,is_a_theorem(implies(implies(implies(X3,Y3),Z3),implies(not(X3),Z3))),true) = true,
inference(paramodulation,[],['91','5']) ).
cnf('99',plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))) = true,
inference(simplify,[],['98','4']) ).
cnf('100',plain,
ifeq(true,true,ifeq(is_a_theorem(implies(implies(X3,Y3),Z3)),true,is_a_theorem(implies(not(X3),Z3)),true),true) = true,
inference(paramodulation,[],['99','2']) ).
cnf('101',plain,
ifeq(is_a_theorem(implies(implies(X,Y),Z)),true,is_a_theorem(implies(not(X),Z)),true) = true,
inference(simplify,[],['100','4']) ).
cnf('102',plain,
ifeq(true,true,is_a_theorem(implies(not(implies(X3,Y3)),X3)),true) = true,
inference(paramodulation,[],['97','101']) ).
cnf('103',plain,
is_a_theorem(implies(not(implies(X,Y)),X)) = true,
inference(simplify,[],['102','4']) ).
cnf('104',plain,
is_a_theorem(implies(not(implies(x,y)),x)) != true,
inference(cnf_transformation,[],[prove_cn_66]) ).
cnf('105',plain,
$false,
inference(resolution,[],['103','104']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL400-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : gkc %s
% 0.18/0.43 % Computer : n020.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sat Sep 5 06:18:42 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.38/0.61
% 0.38/0.61 input clause set summed statistics:
% 0.38/0.61 ----------------------------------
% 0.38/0.61 in_clause_count: 6
% 0.38/0.61 in_rule_clause_count: 6
% 0.38/0.61 in_fact_clause_count: 0
% 0.38/0.61 in_answer_clause_count: 0
% 0.38/0.61 in_ground_clause_count: 1
% 0.38/0.61 in_unit_clause_count: 6
% 0.38/0.61 in_horn_clause_count: 6
% 0.38/0.61 in_pos_clause_count: 5
% 0.38/0.61 in_neg_clause_count: 1
% 0.38/0.61 in_poseq_clause_count: 5
% 0.38/0.61 in_negeq_clause_count: 1
% 0.38/0.61 in_unitposeq_clause_count: 5
% 0.38/0.61 in_chain_clause_count: 0
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% 0.38/0.61
% 0.38/0.61 auto guide:
% 0.38/0.61 -----------
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% 4.10/1.12
% 4.10/1.12 **** run 22 fork 5 starts with strategy
% 4.10/1.12 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 4.10/1.15
% 4.10/1.15
% 4.10/1.15 fork 0: search terminated without proof.
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% 4.10/1.15 fork 1: search terminated without proof.
% 4.10/1.16
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% 4.10/1.16 fork 2: search terminated without proof.
% 4.10/1.18
% 4.10/1.18
% 4.10/1.18 fork 7: search terminated without proof.
% 4.94/1.22
% 4.94/1.22
% 4.94/1.22 fork 6: search terminated without proof.
% 4.94/1.25
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% 4.94/1.25 fork 4: search terminated without proof.
% 4.94/1.25
% 4.94/1.25
% 4.94/1.25 fork 3: search terminated without proof.
% 4.94/1.26
% 4.94/1.26 **** run 25 fork 0 starts with strategy
% 4.94/1.26 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20}
% 4.94/1.26
% 4.94/1.26 **** run 26 fork 1 starts with strategy
% 4.94/1.26 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 4.94/1.27
% 4.94/1.27 **** run 27 fork 2 starts with strategy
% 4.94/1.27 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 4.94/1.28
% 4.94/1.28 **** run 39 fork 6 starts with strategy
% 4.94/1.28 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":2}
% 4.94/1.28
% 4.94/1.28 **** run 32 fork 7 starts with strategy
% 4.94/1.28 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 5.65/1.32
% 5.65/1.32
% 5.65/1.32 fork 5: search terminated without proof.
% 5.65/1.32
% 5.65/1.32 **** run 28 fork 3 starts with strategy
% 5.65/1.32 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1}
% 5.65/1.32
% 5.65/1.32 **** run 29 fork 4 starts with strategy
% 5.65/1.32 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 5.65/1.36
% 5.65/1.36
% 5.65/1.36 fork 0: search terminated without proof.
% 5.65/1.36
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% 5.65/1.36 fork 1: search terminated without proof.
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% 5.65/1.38 fork 6: search terminated without proof.
% 5.65/1.39
% 5.65/1.39
% 5.65/1.39 fork 7: search terminated without proof.
% 5.65/1.40
% 5.65/1.40 **** run 30 fork 5 starts with strategy
% 5.65/1.40 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 6.46/1.44
% 6.46/1.44 **** run 47 fork 6 starts with strategy
% 6.46/1.44 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":4}
% 6.46/1.44
% 6.46/1.44
% 6.46/1.44 fork 3: search terminated without proof.
% 6.46/1.44
% 6.46/1.44
% 6.46/1.44 fork 4: search terminated without proof.
% 6.46/1.47
% 6.46/1.47 **** run 33 fork 0 starts with strategy
% 6.46/1.47 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 6.46/1.47
% 6.46/1.47 **** run 34 fork 1 starts with strategy
% 6.46/1.47 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}
% 6.46/1.48
% 6.46/1.48 **** run 35 fork 2 starts with strategy
% 6.46/1.48 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 6.46/1.50
% 6.46/1.50 fork 6: search finished without proof.
% 6.46/1.50
% 6.46/1.50 **** run 40 fork 7 starts with strategy
% 6.46/1.50 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50,"var_weight":1,"repeat_var_weight":1}
% 7.24/1.51
% 7.24/1.51 **** run 36 fork 3 starts with strategy
% 7.24/1.51 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 7.24/1.52
% 7.24/1.52
% 7.24/1.52 fork 5: search terminated without proof.
% 7.24/1.53
% 7.24/1.53 **** run 37 fork 4 starts with strategy
% 7.24/1.53 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 7.24/1.53
% 7.24/1.53 **** run 55 fork 6 starts with strategy
% 7.24/1.53 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":30}
% 7.24/1.58
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% 7.24/1.58 fork 0: search terminated without proof.
% 7.24/1.58
% 7.24/1.58
% 7.24/1.58 fork 1: search terminated without proof.
% 7.24/1.59
% 7.24/1.59
% 7.24/1.59 fork 2: search terminated without proof.
% 7.24/1.59
% 7.24/1.59 **** run 38 fork 5 starts with strategy
% 7.24/1.59 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"rewrite":0}
% 8.07/1.61
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% 8.07/1.61 fork 7: search terminated without proof.
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% 8.07/1.65
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% 8.07/1.65 fork 6: search terminated without proof.
% 8.07/1.69
% 8.07/1.69 **** run 63 fork 6 starts with strategy
% 8.07/1.69 {"max_dseconds":1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1}
% 8.07/1.69
% 8.07/1.69 **** run 41 fork 0 starts with strategy
% 8.07/1.69 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"var_weight":1,"repeat_var_weight":1}
% 8.07/1.69
% 8.07/1.69 **** run 42 fork 1 starts with strategy
% 8.07/1.69 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":0}
% 8.07/1.70
% 8.07/1.70 **** run 43 fork 2 starts with strategy
% 8.07/1.70 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 8.83/1.70
% 8.83/1.70 **** run 44 fork 3 starts with strategy
% 8.83/1.70 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":2}
% 8.83/1.71
% 8.83/1.71
% 8.83/1.71 fork 5: search terminated without proof.
% 8.83/1.71
% 8.83/1.71 **** run 48 fork 7 starts with strategy
% 8.83/1.71 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":6}
% 8.83/1.72
% 8.83/1.72 fork 7: search finished without proof.
% 8.83/1.74
% 8.83/1.74 **** run 45 fork 4 starts with strategy
% 8.83/1.74 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 8.83/1.78
% 8.83/1.78 **** run 46 fork 5 starts with strategy
% 8.83/1.78 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":2}
% 8.83/1.79
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% 8.83/1.79 fork 0: search terminated without proof.
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% 8.83/1.80 fork 5: search finished without proof.
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% 8.83/1.80 fork 6: search terminated without proof.
% 9.67/1.80
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% 9.67/1.82
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% 9.67/1.82 fork 3: search terminated without proof.
% 9.67/1.84
% 9.67/1.84 **** run 56 fork 7 starts with strategy
% 9.67/1.84 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":40}
% 9.67/1.84
% 9.67/1.84 **** run 71 fork 6 starts with strategy
% 9.67/1.84 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 9.67/1.85
% 9.67/1.85
% 9.67/1.85 fork 4: search terminated without proof.
% 9.67/1.87
% 9.67/1.87 **** run 54 fork 5 starts with strategy
% 9.67/1.87 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":20,"weight_select_ratio":2}
% 9.67/1.89
% 9.67/1.89 **** run 52 fork 3 starts with strategy
% 9.67/1.89 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":15}
% 9.67/1.90
% 9.67/1.90 **** run 50 fork 1 starts with strategy
% 9.67/1.90 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":10}
% 10.44/1.90
% 10.44/1.90 fork 5: search finished without proof.
% 10.44/1.90
% 10.44/1.90 **** run 49 fork 0 starts with strategy
% 10.44/1.90 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":8}
% 10.44/1.91
% 10.44/1.91 **** run 51 fork 2 starts with strategy
% 10.44/1.91
% 10.44/1.91 fork 3: search finished without proof.
% 10.44/1.91 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":10}
% 10.44/1.94
% 10.44/1.94
% 10.44/1.94 fork 7: search terminated without proof.
% 10.44/1.96
% 10.44/1.96 **** run 53 fork 4 starts with strategy
% 10.44/1.96 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":20}
% 10.44/1.97
% 10.44/1.97 **** run 62 fork 5 starts with strategy
% 10.44/1.97 {"max_dseconds":1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0}
% 10.44/1.98
% 10.44/1.98 **** run 60 fork 3 starts with strategy
% 10.44/1.98 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 11.25/2.01
% 11.25/2.01
% 11.25/2.01 fork 0: search terminated without proof.
% 11.25/2.01
% 11.25/2.01 fork 2: search finished without proof.
% 11.25/2.05
% 11.25/2.05 **** run 64 fork 7 starts with strategy
% 11.25/2.05 {"max_dseconds":1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20}
% 11.25/2.08
% 11.25/2.08 fork 4: search finished without proof.
% 11.25/2.09
% 11.25/2.09
% 11.25/2.09 fork 5: search terminated without proof.
% 11.25/2.09
% 11.25/2.09
% 11.25/2.09 fork 3: search terminated without proof.
% 11.25/2.10
% 11.25/2.10 **** run 59 fork 2 starts with strategy
% 11.25/2.10 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50}
% 11.25/2.10
% 11.25/2.10
% 11.25/2.10 fork 1: search terminated without proof.
% 11.25/2.11
% 11.25/2.11 **** run 57 fork 0 starts with strategy
% 11.25/2.11 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1}
% 11.25/2.15
% 11.25/2.15 **** run 61 fork 4 starts with strategy
% 11.25/2.15 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100}
% 11.25/2.16
% 11.25/2.16
% 11.25/2.16 fork 7: search terminated without proof.
% 11.25/2.16
% 11.25/2.16 **** run 68 fork 3 starts with strategy
% 11.25/2.16 {"max_dseconds":10,"strategy":["unit"],"query_preference":0}
% 11.25/2.17
% 11.25/2.17 **** run 58 fork 1 starts with strategy
% 11.25/2.18 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"repeat_var_weight":1}
% 11.25/2.21
% 11.25/2.21
% 11.25/2.21 fork 2: search terminated without proof.
% 12.85/2.22
% 12.85/2.22 **** run 70 fork 5 starts with strategy
% 12.85/2.22 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 12.85/2.22
% 12.85/2.22
% 12.85/2.22 fork 0: search terminated without proof.
% 12.85/2.26
% 12.85/2.26
% 12.85/2.26 fork 4: search terminated without proof.
% 12.85/2.27
% 12.85/2.27 **** run 72 fork 7 starts with strategy
% 12.85/2.27 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 12.85/2.29
% 12.85/2.29
% 12.85/2.29 fork 1: search terminated without proof.
% 12.85/2.31
% 12.85/2.31 **** run 67 fork 2 starts with strategy
% 12.85/2.31 {"max_dseconds":10,"strategy":["unit"],"query_preference":1}
% 13.66/2.33
% 13.66/2.33 **** run 65 fork 0 starts with strategy
% 13.66/2.33 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100}
% 13.66/2.33
% 13.66/2.33 **** run 69 fork 4 starts with strategy
% 13.66/2.33 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 13.66/2.36
% 13.66/2.36 **** run 66 fork 1 starts with strategy
% 13.66/2.36 {"max_dseconds":1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth":4}
% 13.66/2.38
% 13.66/2.38 fork 1: search finished without proof.
% 14.25/2.45
% 14.25/2.45 **** run 74 fork 1 starts with strategy
% 14.25/2.45 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 14.95/2.53
% 14.95/2.53
% 14.95/2.53 fork 0: search terminated without proof.
% 15.67/2.60
% 15.67/2.60 **** run 73 fork 0 starts with strategy
% 15.67/2.60 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 15.67/2.67
% 15.67/2.67
% 15.67/2.67 result: proof found
% 15.67/2.67 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.67/2.67 by run 70 fork 5 strategy {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 15.67/2.67 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.67/2.67
% 15.67/2.67 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.67/2.67
% 15.67/2.67 run 70 fork 5 statistics:
% 15.67/2.67 ----------------------------------
% 15.67/2.67 this run seconds: 0.428878
% 15.67/2.67 total seconds: 1.895910
% 15.67/2.67 stat_given_used: 350
% 15.67/2.67 stat_given_used_at_endgame: 0
% 15.67/2.67 stat_given_candidates: 2036
% 15.67/2.67 stat_given_candidates_at_endgame: 0
% 15.67/2.67 stat_given_candidates_h: 0
% 15.67/2.67 stat_binres_derived_cl: 1
% 15.67/2.67 stat_binres_derived_cl_h: 0
% 15.67/2.67 stat_factor_derived_cl: 0
% 15.67/2.67 stat_para_derived_cl: 56757
% 15.67/2.67 stat_tautologies_discarded: 0
% 15.67/2.67 stat_forward_subsumed: 19345
% 15.67/2.67 stat_derived_cut: 0
% 15.67/2.67 stat_derived_rewritten: 343
% 15.67/2.67 stat_weight_discarded_building: 0
% 15.67/2.67 stat_weight_discarded_cl: 0
% 15.67/2.67 stat_internlimit_discarded_cl: 0
% 15.67/2.67 stat_simplified: 343 simplified 0 derived 0 given
% 15.67/2.67 stat_kept_cl: 14304
% 15.67/2.67 stat_built_cl: 15347
% 15.67/2.67 stat_hyperres_partial_cl: 0
% 15.67/2.67 stat_made_rewriters: 349
% 15.67/2.67 stat_backward_subsumed: 0
% 15.67/2.67 stat_propagated_subsumed: 0
% 15.67/2.67 stat_clsubs_attempted: 14287
% 15.67/2.67 stat_clsubs_fact_groundunit_found: 0
% 15.67/2.67 stat_clsubs_rule_groundunit_found: 1
% 15.67/2.67 stat_clsubs_top_meta_attempted: 60726
% 15.67/2.67 stat_clsubs_top_meta_failed: 46439
% 15.67/2.67 stat_clsubs_top_meta_nonpref_attempted: 60726
% 15.67/2.67 stat_clsubs_top_meta_nonpref_succeeded: 23378
% 15.67/2.67 stat_clsubs_top_meta_pref_attempted: 23378
% 15.67/2.67 stat_clsubs_top_meta_pref1_succeeded: 23378
% 15.67/2.67 stat_clsubs_top_meta_pref2_succeeded: 14287
% 15.67/2.67 stat_clsubs_top_meta_pref3_succeeded: 14287
% 15.67/2.67 stat_clsubs_top_meta_pref_succeeded: 14287
% 15.67/2.67 stat_clsubs_meta_attempted: 14287
% 15.67/2.67 stat_clsubs_meta_failed: 1878
% 15.67/2.67 stat_clsubs_predsymbs_attempted: 0
% 15.67/2.67 stat_clsubs_unit_attempted: 14287
% 15.67/2.67 stat_clsubs_full_attempted: 0
% 15.67/2.67 stat_forwardsubs_attempted: 33649
% 15.67/2.67 stat_lit_hash_added: 14311
% 15.67/2.67 stat_lit_hash_computed: 48313
% 15.67/2.67 stat_lit_hash_match_found: 19346
% 15.67/2.67 stat_lit_hash_match_miss: 29303
% 15.67/2.67 stat_lit_hash_cut_ok: 0
% 15.67/2.67 stat_lit_strong_cut_ok: 0
% 15.67/2.67 stat_lit_hash_subsume_ok: 19345
% 15.67/2.67 clqueue els 10000000 used 1
% 15.67/2.67 clactive els 10000000 used 351
% 15.67/2.67 clactivesubsume els 10000000 used 2095
% 15.67/2.67 queue_termbuf els 200000000 used 1530457
% 15.67/2.67 hyper_termbuf els 100000000 used 1
% 15.67/2.67 active_termbuf els 100000000 used 20798
% 15.67/2.67 varstack els 5000 last used 1
% 15.67/2.67 given_termbuf els 10000000 last used 40
% 15.67/2.67 simplified_termbuf els 10000000 last used 1
% 15.67/2.67 derived_termbuf els 10000000 last used 3
% 15.67/2.67 wr_mallocs: 59888
% 15.67/2.67 wr_callocs: 21
% 15.67/2.67 wr_reallocs: 2528
% 15.67/2.67 wr_frees: 2
% 15.67/2.67 wr_malloc_bytes: 4164693188
% 15.67/2.67 wr_calloc_bytes: 112065536
% 15.67/2.67 wr_realloc_bytes: 459416
% 15.67/2.67 wr_realloc_freebytes: 0
% 15.67/2.67 ----------------------------------
% 15.67/2.69
% 15.67/2.69
% 15.67/2.69 result: proof found
% 15.67/2.69 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.67/2.69 by run 71 fork 6 strategy {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 15.67/2.69 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.67/2.69
% 15.67/2.69 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.67/2.69 cnf('1', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) = true),
% 15.67/2.69 inference(cnf_transformation,[],['cn_1'])).
% 15.67/2.69 cnf('2', plain, (ifeq(is_a_theorem(implies(X,Y)),true,ifeq(is_a_theorem(X),true,is_a_theorem(Y),true),true) = true),
% 15.67/2.69 inference(cnf_transformation,[],['condensed_detachment'])).
% 15.67/2.69 cnf('3', plain, (ifeq(true,true,ifeq(is_a_theorem(implies(X3,Y3)),true,is_a_theorem(implies(implies(Y3,Z3),implies(X3,Z3))),true),true) = true),
% 15.67/2.69 inference(paramodulation,[],['1','2'])).
% 15.67/2.69 cnf('4', plain, (ifeq(X,X,Y,Z) = Y),
% 15.67/2.69 inference(cnf_transformation,[],['ifeq_axiom'])).
% 15.67/2.69 cnf('5', plain, (ifeq(is_a_theorem(implies(X,Y)),true,is_a_theorem(implies(implies(Y,Z),implies(X,Z))),true) = true),
% 15.67/2.69 inference(simplify,[],['3','4'])).
% 15.67/2.69 cnf('6', plain, (ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X3,Y3),implies(Z3,Y3)),U3),implies(implies(Z3,X3),U3))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['1','5'])).
% 15.67/2.69 cnf('7', plain, (is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(implies(Z,X),U))) = true),
% 15.67/2.69 inference(simplify,[],['6','4'])).
% 15.67/2.69 cnf('8', plain, (ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X3,Y3),implies(Z3,Y3)),U3)),true,is_a_theorem(implies(implies(Z3,X3),U3)),true),true) = true),
% 15.67/2.69 inference(paramodulation,[],['7','2'])).
% 15.67/2.69 cnf('9', plain, (ifeq(is_a_theorem(implies(implies(implies(X,Y),implies(Z,Y)),U)),true,is_a_theorem(implies(implies(Z,X),U)),true) = true),
% 15.67/2.69 inference(simplify,[],['8','4'])).
% 15.67/2.69 cnf('10', plain, (ifeq(true,true,is_a_theorem(implies(implies(X3,implies(Y3,Z3)),implies(implies(U3,Y3),implies(X3,implies(U3,Z3))))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['7','9'])).
% 15.67/2.69 cnf('11', plain, (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(U,Y),implies(X,implies(U,Z))))) = true),
% 15.67/2.69 inference(simplify,[],['10','4'])).
% 15.67/2.69 cnf('12', plain, (ifeq(true,true,is_a_theorem(implies(implies(X3,Y3),implies(implies(Z3,X3),implies(implies(Y3,U3),implies(Z3,U3))))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['11','9'])).
% 15.67/2.69 cnf('13', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(Z,X),implies(implies(Y,U),implies(Z,U))))) = true),
% 15.67/2.69 inference(simplify,[],['12','4'])).
% 15.67/2.69 cnf('14', plain, (is_a_theorem(implies(implies(not(X),X),X)) = true),
% 15.67/2.69 inference(cnf_transformation,[],['cn_2'])).
% 15.67/2.69 cnf('15', plain, (ifeq(is_a_theorem(implies(implies(implies(not(X3),X3),X3),Y3)),true,ifeq(true,true,is_a_theorem(Y3),true),true) = true),
% 15.67/2.69 inference(paramodulation,[],['14','2'])).
% 15.67/2.69 cnf('16', plain, (ifeq(is_a_theorem(implies(implies(implies(not(X),X),X),Y)),true,is_a_theorem(Y),true) = true),
% 15.67/2.69 inference(simplify,[],['15','4'])).
% 15.67/2.69 cnf('17', plain, (ifeq(true,true,is_a_theorem(implies(implies(X3,implies(not(Y3),Y3)),implies(implies(Y3,Z3),implies(X3,Z3)))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['13','16'])).
% 15.67/2.69 cnf('18', plain, (is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(implies(Y,Z),implies(X,Z)))) = true),
% 15.67/2.69 inference(simplify,[],['17','4'])).
% 15.67/2.69 cnf('19', plain, (ifeq(true,true,is_a_theorem(implies(implies(not(X3),Y3),implies(implies(X3,Z3),implies(implies(Y3,X3),Z3)))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['18','9'])).
% 15.67/2.69 cnf('20', plain, (is_a_theorem(implies(implies(not(X),Y),implies(implies(X,Z),implies(implies(Y,X),Z)))) = true),
% 15.67/2.69 inference(simplify,[],['19','4'])).
% 15.67/2.69 cnf('21', plain, (is_a_theorem(implies(X,implies(not(X),Y))) = true),
% 15.67/2.69 inference(cnf_transformation,[],['cn_3'])).
% 15.67/2.69 cnf('22', plain, (ifeq(true,true,is_a_theorem(implies(implies(implies(not(X3),Y3),Z3),implies(X3,Z3))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['21','5'])).
% 15.67/2.69 cnf('23', plain, (is_a_theorem(implies(implies(implies(not(X),Y),Z),implies(X,Z))) = true),
% 15.67/2.69 inference(simplify,[],['22','4'])).
% 15.67/2.69 cnf('24', plain, (ifeq(true,true,is_a_theorem(implies(X3,X3)),true) = true),
% 15.67/2.69 inference(paramodulation,[],['23','16'])).
% 15.67/2.69 cnf('25', plain, (is_a_theorem(implies(X,X)) = true),
% 15.67/2.69 inference(simplify,[],['24','4'])).
% 15.67/2.69 cnf('26', plain, (ifeq(true,true,ifeq(is_a_theorem(X3),true,is_a_theorem(implies(not(X3),Y3)),true),true) = true),
% 15.67/2.69 inference(paramodulation,[],['21','2'])).
% 15.67/2.69 cnf('27', plain, (ifeq(is_a_theorem(X),true,is_a_theorem(implies(not(X),Y)),true) = true),
% 15.67/2.69 inference(simplify,[],['26','4'])).
% 15.67/2.69 cnf('28', plain, (ifeq(true,true,is_a_theorem(implies(not(implies(X3,X3)),Y3)),true) = true),
% 15.67/2.69 inference(paramodulation,[],['25','27'])).
% 15.67/2.69 cnf('29', plain, (is_a_theorem(implies(not(implies(X,X)),Y)) = true),
% 15.67/2.69 inference(simplify,[],['28','4'])).
% 15.67/2.69 cnf('30', plain, (ifeq(is_a_theorem(implies(implies(not(implies(X3,X3)),Y3),Z3)),true,ifeq(true,true,is_a_theorem(Z3),true),true) = true),
% 15.67/2.69 inference(paramodulation,[],['29','2'])).
% 15.67/2.69 cnf('31', plain, (ifeq(is_a_theorem(implies(implies(not(implies(X,X)),Y),Z)),true,is_a_theorem(Z),true) = true),
% 15.67/2.69 inference(simplify,[],['30','4'])).
% 15.67/2.69 cnf('32', plain, (ifeq(true,true,is_a_theorem(implies(implies(implies(X3,X3),Y3),implies(implies(Z3,implies(X3,X3)),Y3))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['20','31'])).
% 15.67/2.69 cnf('33', plain, (is_a_theorem(implies(implies(implies(X,X),Y),implies(implies(Z,implies(X,X)),Y))) = true),
% 15.67/2.69 inference(simplify,[],['32','4'])).
% 15.67/2.69 cnf('34', plain, (ifeq(is_a_theorem(implies(implies(X3,X3),Y3)),true,ifeq(true,true,is_a_theorem(Y3),true),true) = true),
% 15.67/2.69 inference(paramodulation,[],['25','2'])).
% 15.67/2.69 cnf('35', plain, (ifeq(is_a_theorem(implies(implies(X,X),Y)),true,is_a_theorem(Y),true) = true),
% 15.67/2.69 inference(simplify,[],['34','4'])).
% 15.67/2.69 cnf('36', plain, (ifeq(true,true,is_a_theorem(implies(implies(X3,implies(Y3,Y3)),implies(Y3,Y3))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['33','35'])).
% 15.67/2.69 cnf('37', plain, (is_a_theorem(implies(implies(X,implies(Y,Y)),implies(Y,Y))) = true),
% 15.67/2.69 inference(simplify,[],['36','4'])).
% 15.67/2.69 cnf('38', plain, (ifeq(true,true,ifeq(is_a_theorem(implies(implies(not(X3),Y3),Z3)),true,is_a_theorem(implies(X3,Z3)),true),true) = true),
% 15.67/2.69 inference(paramodulation,[],['23','2'])).
% 15.67/2.69 cnf('39', plain, (ifeq(is_a_theorem(implies(implies(not(X),Y),Z)),true,is_a_theorem(implies(X,Z)),true) = true),
% 15.67/2.69 inference(simplify,[],['38','4'])).
% 15.67/2.69 cnf('40', plain, (ifeq(true,true,is_a_theorem(implies(X3,implies(Y3,Y3))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['37','39'])).
% 15.67/2.69 cnf('41', plain, (is_a_theorem(implies(X,implies(Y,Y))) = true),
% 15.67/2.69 inference(simplify,[],['40','4'])).
% 15.67/2.69 cnf('42', plain, (ifeq(true,true,is_a_theorem(implies(implies(implies(X3,X3),Y3),implies(Z3,Y3))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['41','5'])).
% 15.67/2.69 cnf('43', plain, (is_a_theorem(implies(implies(implies(X,X),Y),implies(Z,Y))) = true),
% 15.67/2.69 inference(simplify,[],['42','4'])).
% 15.67/2.69 cnf('44', plain, (ifeq(true,true,is_a_theorem(implies(implies(implies(X3,Y3),Z3),implies(implies(implies(U3,U3),Y3),Z3))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['43','5'])).
% 15.67/2.69 cnf('45', plain, (is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(implies(U,U),Y),Z))) = true),
% 15.67/2.69 inference(simplify,[],['44','4'])).
% 15.67/2.69 cnf('46', plain, (ifeq(is_a_theorem(implies(implies(implies(X3,Y3),implies(implies(Y3,Z3),implies(X3,Z3))),U3)),true,ifeq(true,true,is_a_theorem(U3),true),true) = true),
% 15.67/2.69 inference(paramodulation,[],['1','2'])).
% 15.67/2.69 cnf('47', plain, (ifeq(is_a_theorem(implies(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))),U)),true,is_a_theorem(U),true) = true),
% 15.67/2.69 inference(simplify,[],['46','4'])).
% 15.67/2.69 cnf('48', plain, (ifeq(true,true,is_a_theorem(implies(implies(implies(X3,X3),Y3),implies(implies(Y3,Z3),implies(U3,Z3)))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['45','47'])).
% 15.67/2.69 cnf('49', plain, (is_a_theorem(implies(implies(implies(X,X),Y),implies(implies(Y,Z),implies(U,Z)))) = true),
% 15.67/2.69 inference(simplify,[],['48','4'])).
% 15.67/2.69 cnf('50', plain, (ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X3,Y3),implies(Z3,Y3)),U3),implies(implies(implies(V3,V3),X3),U3))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['49','5'])).
% 15.67/2.69 cnf('51', plain, (is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(implies(implies(V,V),X),U))) = true),
% 15.67/2.69 inference(simplify,[],['50','4'])).
% 15.67/2.69 cnf('52', plain, (ifeq(true,true,is_a_theorem(implies(implies(X3,implies(Y3,Z3)),implies(implies(implies(U3,U3),Y3),implies(X3,implies(V3,Z3))))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['51','9'])).
% 15.67/2.69 cnf('53', plain, (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(implies(U,U),Y),implies(X,implies(V,Z))))) = true),
% 15.67/2.69 inference(simplify,[],['52','4'])).
% 15.67/2.69 cnf('54', plain, (ifeq(true,true,is_a_theorem(implies(implies(implies(X3,X3),implies(Y3,Z3)),implies(implies(U3,Y3),implies(V3,implies(U3,Z3))))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['53','47'])).
% 15.67/2.69 cnf('55', plain, (is_a_theorem(implies(implies(implies(X,X),implies(Y,Z)),implies(implies(U,Y),implies(V,implies(U,Z))))) = true),
% 15.67/2.69 inference(simplify,[],['54','4'])).
% 15.67/2.69 cnf('56', plain, (ifeq(true,true,is_a_theorem(implies(implies(X3,Y3),implies(implies(Z3,X3),implies(U3,implies(Z3,Y3))))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['55','9'])).
% 15.67/2.69 cnf('57', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(Z,X),implies(U,implies(Z,Y))))) = true),
% 15.67/2.69 inference(simplify,[],['56','4'])).
% 15.67/2.69 cnf('58', plain, (ifeq(true,true,is_a_theorem(implies(implies(X3,implies(not(Y3),Y3)),implies(Z3,implies(X3,Y3)))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['57','16'])).
% 15.67/2.69 cnf('59', plain, (is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(Z,implies(X,Y)))) = true),
% 15.67/2.69 inference(simplify,[],['58','4'])).
% 15.67/2.69 cnf('60', plain, (ifeq(true,true,is_a_theorem(implies(implies(not(X3),Y3),implies(Z3,implies(implies(Y3,X3),X3)))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['59','9'])).
% 15.67/2.69 cnf('61', plain, (is_a_theorem(implies(implies(not(X),Y),implies(Z,implies(implies(Y,X),X)))) = true),
% 15.67/2.69 inference(simplify,[],['60','4'])).
% 15.67/2.69 cnf('62', plain, (ifeq(true,true,is_a_theorem(implies(implies(X3,Y3),implies(implies(implies(Z3,Z3),X3),implies(implies(Y3,U3),implies(V3,U3))))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['53','9'])).
% 15.67/2.69 cnf('63', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(implies(Z,Z),X),implies(implies(Y,U),implies(V,U))))) = true),
% 15.67/2.69 inference(simplify,[],['62','4'])).
% 15.67/2.69 cnf('64', plain, (ifeq(true,true,is_a_theorem(implies(implies(implies(X3,X3),implies(not(Y3),Y3)),implies(implies(Y3,Z3),implies(U3,Z3)))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['63','16'])).
% 15.67/2.69 cnf('65', plain, (is_a_theorem(implies(implies(implies(X,X),implies(not(Y),Y)),implies(implies(Y,Z),implies(U,Z)))) = true),
% 15.67/2.69 inference(simplify,[],['64','4'])).
% 15.67/2.69 cnf('66', plain, (ifeq(true,true,is_a_theorem(implies(implies(not(X3),X3),implies(implies(X3,Y3),implies(Z3,Y3)))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['65','9'])).
% 15.67/2.69 cnf('67', plain, (is_a_theorem(implies(implies(not(X),X),implies(implies(X,Y),implies(Z,Y)))) = true),
% 15.67/2.69 inference(simplify,[],['66','4'])).
% 15.67/2.69 cnf('68', plain, (ifeq(true,true,is_a_theorem(implies(X3,implies(implies(X3,Y3),implies(Z3,Y3)))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['67','39'])).
% 15.67/2.69 cnf('69', plain, (is_a_theorem(implies(X,implies(implies(X,Y),implies(Z,Y)))) = true),
% 15.67/2.69 inference(simplify,[],['68','4'])).
% 15.67/2.69 cnf('70', plain, (ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X3,Y3),implies(Z3,Y3)),U3),implies(X3,U3))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['69','5'])).
% 15.67/2.69 cnf('71', plain, (is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(X,U))) = true),
% 15.67/2.69 inference(simplify,[],['70','4'])).
% 15.67/2.69 cnf('72', plain, (ifeq(is_a_theorem(implies(implies(X3,implies(Y3,Y3)),Z3)),true,ifeq(true,true,is_a_theorem(Z3),true),true) = true),
% 15.67/2.69 inference(paramodulation,[],['41','2'])).
% 15.67/2.69 cnf('73', plain, (ifeq(is_a_theorem(implies(implies(X,implies(Y,Y)),Z)),true,is_a_theorem(Z),true) = true),
% 15.67/2.69 inference(simplify,[],['72','4'])).
% 15.67/2.69 cnf('74', plain, (ifeq(true,true,is_a_theorem(implies(implies(X3,Y3),implies(implies(implies(Z3,Z3),X3),Y3))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['20','73'])).
% 15.67/2.69 cnf('75', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(implies(Z,Z),X),Y))) = true),
% 15.67/2.69 inference(simplify,[],['74','4'])).
% 15.67/2.69 cnf('76', plain, (ifeq(true,true,is_a_theorem(implies(implies(implies(X3,X3),Y3),Y3)),true) = true),
% 15.67/2.69 inference(paramodulation,[],['75','35'])).
% 15.67/2.69 cnf('77', plain, (is_a_theorem(implies(implies(implies(X,X),Y),Y)) = true),
% 15.67/2.69 inference(simplify,[],['76','4'])).
% 15.67/2.69 cnf('78', plain, (ifeq(is_a_theorem(implies(implies(implies(implies(X3,X3),Y3),Y3),Z3)),true,ifeq(true,true,is_a_theorem(Z3),true),true) = true),
% 15.67/2.69 inference(paramodulation,[],['77','2'])).
% 15.67/2.69 cnf('79', plain, (ifeq(is_a_theorem(implies(implies(implies(implies(X,X),Y),Y),Z)),true,is_a_theorem(Z),true) = true),
% 15.67/2.69 inference(simplify,[],['78','4'])).
% 15.67/2.69 cnf('80', plain, (ifeq(true,true,is_a_theorem(implies(X3,implies(Y3,X3))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['71','79'])).
% 15.67/2.69 cnf('81', plain, (is_a_theorem(implies(X,implies(Y,X))) = true),
% 15.67/2.69 inference(simplify,[],['80','4'])).
% 15.67/2.69 cnf('82', plain, (ifeq(is_a_theorem(implies(implies(X3,implies(Y3,X3)),Z3)),true,ifeq(true,true,is_a_theorem(Z3),true),true) = true),
% 15.67/2.69 inference(paramodulation,[],['81','2'])).
% 15.67/2.69 cnf('83', plain, (ifeq(is_a_theorem(implies(implies(X,implies(Y,X)),Z)),true,is_a_theorem(Z),true) = true),
% 15.67/2.69 inference(simplify,[],['82','4'])).
% 15.67/2.69 cnf('84', plain, (ifeq(true,true,is_a_theorem(implies(implies(X3,Y3),implies(implies(implies(Z3,Y3),U3),implies(X3,U3)))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['13','83'])).
% 15.67/2.69 cnf('85', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(implies(Z,Y),U),implies(X,U)))) = true),
% 15.67/2.69 inference(simplify,[],['84','4'])).
% 15.67/2.69 cnf('86', plain, (ifeq(true,true,is_a_theorem(implies(implies(X3,implies(implies(Y3,Y3),Z3)),implies(implies(Z3,U3),implies(X3,U3)))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['13','79'])).
% 15.67/2.69 cnf('87', plain, (is_a_theorem(implies(implies(X,implies(implies(Y,Y),Z)),implies(implies(Z,U),implies(X,U)))) = true),
% 15.67/2.69 inference(simplify,[],['86','4'])).
% 15.67/2.69 cnf('88', plain, (ifeq(true,true,is_a_theorem(implies(implies(implies(X3,X3),Y3),implies(implies(Z3,U3),implies(implies(Y3,Z3),U3)))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['87','9'])).
% 15.67/2.69 cnf('89', plain, (is_a_theorem(implies(implies(implies(X,X),Y),implies(implies(Z,U),implies(implies(Y,Z),U)))) = true),
% 15.67/2.69 inference(simplify,[],['88','4'])).
% 15.67/2.69 cnf('90', plain, (ifeq(true,true,is_a_theorem(implies(implies(implies(X3,Y3),Z3),implies(Y3,Z3))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['81','5'])).
% 15.67/2.69 cnf('91', plain, (is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))) = true),
% 15.67/2.69 inference(simplify,[],['90','4'])).
% 15.67/2.69 cnf('92', plain, (ifeq(true,true,ifeq(is_a_theorem(implies(implies(X3,Y3),Z3)),true,is_a_theorem(implies(Y3,Z3)),true),true) = true),
% 15.67/2.69 inference(paramodulation,[],['91','2'])).
% 15.67/2.69 cnf('93', plain, (ifeq(is_a_theorem(implies(implies(X,Y),Z)),true,is_a_theorem(implies(Y,Z)),true) = true),
% 15.67/2.69 inference(simplify,[],['92','4'])).
% 15.67/2.69 cnf('94', plain, (ifeq(true,true,is_a_theorem(implies(X3,implies(implies(Y3,Z3),implies(implies(X3,Y3),Z3)))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['89','93'])).
% 15.67/2.69 cnf('95', plain, (is_a_theorem(implies(X,implies(implies(Y,Z),implies(implies(X,Y),Z)))) = true),
% 15.67/2.69 inference(simplify,[],['94','4'])).
% 15.67/2.69 cnf('96', plain, (ifeq(true,true,is_a_theorem(implies(implies(X3,implies(implies(Y3,Y3),Z3)),implies(U3,implies(X3,Z3)))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['57','79'])).
% 15.67/2.69 cnf('97', plain, (is_a_theorem(implies(implies(X,implies(implies(Y,Y),Z)),implies(U,implies(X,Z)))) = true),
% 15.67/2.69 inference(simplify,[],['96','4'])).
% 15.67/2.69 cnf('98', plain, (ifeq(true,true,ifeq(is_a_theorem(implies(X3,implies(implies(Y3,Y3),Z3))),true,is_a_theorem(implies(U3,implies(X3,Z3))),true),true) = true),
% 15.67/2.69 inference(paramodulation,[],['97','2'])).
% 15.67/2.69 cnf('99', plain, (ifeq(is_a_theorem(implies(X,implies(implies(Y,Y),Z))),true,is_a_theorem(implies(U,implies(X,Z))),true) = true),
% 15.67/2.69 inference(simplify,[],['98','4'])).
% 15.67/2.69 cnf('100', plain, (ifeq(true,true,is_a_theorem(implies(X3,implies(Y3,implies(implies(Y3,Z3),Z3)))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['95','99'])).
% 15.67/2.69 cnf('101', plain, (is_a_theorem(implies(X,implies(Y,implies(implies(Y,Z),Z)))) = true),
% 15.67/2.69 inference(simplify,[],['100','4'])).
% 15.67/2.69 cnf('102', plain, (ifeq(true,true,is_a_theorem(implies(implies(implies(X3,X3),implies(Y3,Z3)),implies(implies(Z3,U3),implies(Y3,U3)))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['75','47'])).
% 15.67/2.69 cnf('103', plain, (is_a_theorem(implies(implies(implies(X,X),implies(Y,Z)),implies(implies(Z,U),implies(Y,U)))) = true),
% 15.67/2.69 inference(simplify,[],['102','4'])).
% 15.67/2.69 cnf('104', plain, (ifeq(true,true,ifeq(is_a_theorem(implies(implies(X3,X3),implies(Y3,Z3))),true,is_a_theorem(implies(implies(Z3,U3),implies(Y3,U3))),true),true) = true),
% 15.67/2.69 inference(paramodulation,[],['103','2'])).
% 15.67/2.69 cnf('105', plain, (ifeq(is_a_theorem(implies(implies(X,X),implies(Y,Z))),true,is_a_theorem(implies(implies(Z,U),implies(Y,U))),true) = true),
% 15.67/2.69 inference(simplify,[],['104','4'])).
% 15.67/2.69 cnf('106', plain, (ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X3,Y3),Y3),Z3),implies(X3,Z3))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['101','105'])).
% 15.67/2.69 cnf('107', plain, (is_a_theorem(implies(implies(implies(implies(X,Y),Y),Z),implies(X,Z))) = true),
% 15.67/2.69 inference(simplify,[],['106','4'])).
% 15.67/2.69 cnf('108', plain, (ifeq(true,true,is_a_theorem(implies(implies(X3,implies(Y3,Z3)),implies(Y3,implies(X3,Z3)))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['107','9'])).
% 15.67/2.69 cnf('109', plain, (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))) = true),
% 15.67/2.69 inference(simplify,[],['108','4'])).
% 15.67/2.69 cnf('110', plain, (ifeq(true,true,ifeq(is_a_theorem(implies(X3,implies(Y3,Z3))),true,is_a_theorem(implies(Y3,implies(X3,Z3))),true),true) = true),
% 15.67/2.69 inference(paramodulation,[],['109','2'])).
% 15.67/2.69 cnf('111', plain, (ifeq(is_a_theorem(implies(X,implies(Y,Z))),true,is_a_theorem(implies(Y,implies(X,Z))),true) = true),
% 15.67/2.69 inference(simplify,[],['110','4'])).
% 15.67/2.69 cnf('112', plain, (ifeq(true,true,is_a_theorem(implies(implies(implies(X3,Y3),Z3),implies(implies(U3,Y3),implies(U3,Z3)))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['85','111'])).
% 15.67/2.69 cnf('113', plain, (is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(U,Y),implies(U,Z)))) = true),
% 15.67/2.69 inference(simplify,[],['112','4'])).
% 15.67/2.69 cnf('114', plain, (ifeq(is_a_theorem(implies(implies(implies(implies(not(X3),Y3),Z3),implies(X3,Z3)),U3)),true,ifeq(true,true,is_a_theorem(U3),true),true) = true),
% 15.67/2.69 inference(paramodulation,[],['23','2'])).
% 15.67/2.69 cnf('115', plain, (ifeq(is_a_theorem(implies(implies(implies(implies(not(X),Y),Z),implies(X,Z)),U)),true,is_a_theorem(U),true) = true),
% 15.67/2.69 inference(simplify,[],['114','4'])).
% 15.67/2.69 cnf('116', plain, (ifeq(true,true,is_a_theorem(implies(not(X3),implies(X3,Y3))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['107','115'])).
% 15.67/2.69 cnf('117', plain, (is_a_theorem(implies(not(X),implies(X,Y))) = true),
% 15.67/2.69 inference(simplify,[],['116','4'])).
% 15.67/2.69 cnf('118', plain, (ifeq(true,true,is_a_theorem(implies(implies(implies(X3,Y3),Z3),implies(not(X3),Z3))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['117','5'])).
% 15.67/2.69 cnf('119', plain, (is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))) = true),
% 15.67/2.69 inference(simplify,[],['118','4'])).
% 15.67/2.69 cnf('120', plain, (ifeq(true,true,ifeq(is_a_theorem(implies(implies(X3,Y3),Z3)),true,is_a_theorem(implies(not(X3),Z3)),true),true) = true),
% 15.67/2.69 inference(paramodulation,[],['119','2'])).
% 15.67/2.69 cnf('121', plain, (ifeq(is_a_theorem(implies(implies(X,Y),Z)),true,is_a_theorem(implies(not(X),Z)),true) = true),
% 15.67/2.69 inference(simplify,[],['120','4'])).
% 15.67/2.69 cnf('122', plain, (ifeq(true,true,is_a_theorem(implies(not(implies(X3,Y3)),implies(implies(Z3,Y3),implies(Z3,U3)))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['113','121'])).
% 15.67/2.69 cnf('123', plain, (is_a_theorem(implies(not(implies(X,Y)),implies(implies(Z,Y),implies(Z,U)))) = true),
% 15.67/2.69 inference(simplify,[],['122','4'])).
% 15.67/2.69 cnf('124', plain, (ifeq(true,true,ifeq(is_a_theorem(implies(not(X3),X3)),true,is_a_theorem(X3),true),true) = true),
% 15.67/2.69 inference(paramodulation,[],['14','2'])).
% 15.67/2.69 cnf('125', plain, (ifeq(is_a_theorem(implies(not(X),X)),true,is_a_theorem(X),true) = true),
% 15.67/2.69 inference(simplify,[],['124','4'])).
% 15.67/2.69 cnf('126', plain, (ifeq(true,true,is_a_theorem(implies(implies(X3,implies(X3,Y3)),implies(X3,Y3))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['123','125'])).
% 15.67/2.69 cnf('127', plain, (is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))) = true),
% 15.67/2.69 inference(simplify,[],['126','4'])).
% 15.67/2.69 cnf('128', plain, (ifeq(true,true,ifeq(is_a_theorem(implies(X3,implies(X3,Y3))),true,is_a_theorem(implies(X3,Y3)),true),true) = true),
% 15.67/2.69 inference(paramodulation,[],['127','2'])).
% 15.67/2.69 cnf('129', plain, (ifeq(is_a_theorem(implies(X,implies(X,Y))),true,is_a_theorem(implies(X,Y)),true) = true),
% 15.67/2.69 inference(simplify,[],['128','4'])).
% 15.67/2.69 cnf('130', plain, (ifeq(true,true,is_a_theorem(implies(implies(not(X3),Y3),implies(implies(Y3,X3),X3))),true) = true),
% 15.67/2.69 inference(paramodulation,[],['61','129'])).
% 15.67/2.69 cnf('131', plain, (is_a_theorem(implies(implies(not(X),Y),implies(implies(Y,X),X))) = true),
% 15.67/2.69 inference(simplify,[],['130','4'])).
% 15.67/2.69 cnf('132', plain, (ifeq(is_a_theorem(implies(implies(not(X3),implies(X3,Y3)),Z3)),true,ifeq(true,true,is_a_theorem(Z3),true),true) = true),
% 15.67/2.69 inference(paramodulation,[],['117','2'])).
% 15.67/2.69 cnf('133', plain, (ifeq(is_a_theorem(implies(implies(not(X),implies(X,Y)),Z)),true,is_a_theorem(Z),true) = true),
% 15.67/2.69 inference(simplify,[],['132','4'])).
% 15.67/2.69 cnf('134', plain, (ifeq(true,true,is_a_theorem(implies(implies(implies(X3,Y3),X3),X3)),true) = true),
% 15.67/2.69 inference(paramodulation,[],['131','133'])).
% 15.67/2.69 cnf('135', plain, (is_a_theorem(implies(implies(implies(X,Y),X),X)) = true),
% 15.67/2.69 inference(simplify,[],['134','4'])).
% 15.67/2.69 cnf('136', plain, (ifeq(true,true,is_a_theorem(implies(not(implies(X3,Y3)),X3)),true) = true),
% 15.67/2.69 inference(paramodulation,[],['135','121'])).
% 15.67/2.69 cnf('137', plain, (is_a_theorem(implies(not(implies(X,Y)),X)) = true),
% 15.67/2.69 inference(simplify,[],['136','4'])).
% 15.67/2.69 cnf('138', plain, (is_a_theorem(implies(not(implies(x,y)),x)) != true),
% 15.67/2.69 inference(cnf_transformation,[],['prove_cn_66'])).
% 15.67/2.69 cnf('139', plain, ($false),
% 15.67/2.69 inference(resolution,[],['137','138'])).
% 15.67/2.69
% 15.67/2.69 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.67/2.69
% 15.67/2.69 run 71 fork 6 statistics:
% 15.67/2.69 ----------------------------------
% 15.67/2.69 this run seconds: 0.456656
% 15.67/2.69 total seconds: 1.669904
% 15.67/2.69 stat_given_used: 460
% 15.67/2.69 stat_given_used_at_endgame: 0
% 15.67/2.69 stat_given_candidates: 2842
% 15.67/2.69 stat_given_candidates_at_endgame: 0
% 15.67/2.69 stat_given_candidates_h: 0
% 15.67/2.69 stat_binres_derived_cl: 1
% 15.67/2.69 stat_binres_derived_cl_h: 0
% 15.67/2.69 stat_factor_derived_cl: 0
% 15.67/2.69 stat_para_derived_cl: 92762
% 15.67/2.69 stat_tautologies_discarded: 0
% 15.67/2.69 stat_forward_subsumed: 28249
% 15.67/2.69 stat_derived_cut: 0
% 15.67/2.69 stat_derived_rewritten: 453
% 15.67/2.69 stat_weight_discarded_building: 0
% 15.67/2.69 stat_weight_discarded_cl: 0
% 15.67/2.69 stat_internlimit_discarded_cl: 0
% 15.67/2.69 stat_simplified: 453 simplified 0 derived 0 given
% 15.67/2.69 stat_kept_cl: 23865
% 15.67/2.69 stat_built_cl: 25238
% 15.67/2.69 stat_hyperres_partial_cl: 0
% 15.67/2.69 stat_made_rewriters: 459
% 15.67/2.69 stat_backward_subsumed: 0
% 15.67/2.69 stat_propagated_subsumed: 0
% 15.67/2.69 stat_clsubs_attempted: 29631
% 15.67/2.69 stat_clsubs_fact_groundunit_found: 0
% 15.67/2.69 stat_clsubs_rule_groundunit_found: 1
% 15.67/2.69 stat_clsubs_top_meta_attempted: 105111
% 15.67/2.69 stat_clsubs_top_meta_failed: 75480
% 15.67/2.69 stat_clsubs_top_meta_nonpref_attempted: 105111
% 15.67/2.69 stat_clsubs_top_meta_nonpref_succeeded: 44208
% 15.67/2.69 stat_clsubs_top_meta_pref_attempted: 44208
% 15.67/2.69 stat_clsubs_top_meta_pref1_succeeded: 44208
% 15.67/2.69 stat_clsubs_top_meta_pref2_succeeded: 29631
% 15.67/2.69 stat_clsubs_top_meta_pref3_succeeded: 29631
% 15.67/2.69 stat_clsubs_top_meta_pref_succeeded: 29631
% 15.67/2.69 stat_clsubs_meta_attempted: 29631
% 15.67/2.69 stat_clsubs_meta_failed: 3849
% 15.67/2.69 stat_clsubs_predsymbs_attempted: 0
% 15.67/2.69 stat_clsubs_unit_attempted: 29631
% 15.67/2.69 stat_clsubs_full_attempted: 0
% 15.67/2.69 stat_forwardsubs_attempted: 52114
% 15.67/2.69 stat_lit_hash_added: 23872
% 15.67/2.69 stat_lit_hash_computed: 76449
% 15.67/2.69 stat_lit_hash_match_found: 28250
% 15.67/2.69 stat_lit_hash_match_miss: 48645
% 15.67/2.69 stat_lit_hash_cut_ok: 0
% 15.67/2.69 stat_lit_strong_cut_ok: 0
% 15.67/2.69 stat_lit_hash_subsume_ok: 28249
% 15.67/2.69 clqueue els 10000000 used 1
% 15.67/2.69 clactive els 10000000 used 461
% 15.67/2.69 clactivesubsume els 10000000 used 2755
% 15.67/2.69 queue_termbuf els 200000000 used 2620300
% 15.67/2.69 hyper_termbuf els 100000000 used 1
% 15.67/2.69 active_termbuf els 100000000 used 28335
% 15.67/2.69 varstack els 5000 last used 1
% 15.67/2.69 given_termbuf els 10000000 last used 40
% 15.67/2.69 simplified_termbuf els 10000000 last used 1
% 15.67/2.69 derived_termbuf els 10000000 last used 3
% 15.67/2.69 wr_mallocs: 97543
% 15.67/2.69 wr_callocs: 21
% 15.67/2.69 wr_reallocs: 3827
% 15.67/2.69 wr_frees: 2
% 15.67/2.69 wr_malloc_bytes: 4166015060
% 15.67/2.69 wr_calloc_bytes: 112065536
% 15.67/2.69 wr_realloc_bytes: 817072
% 15.67/2.69 wr_realloc_freebytes: 0
% 15.67/2.69 ----------------------------------
%------------------------------------------------------------------------------