TSTP Solution File: GRP608-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP608-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n001.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 00:54:59 EDT 2023

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named multiply)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    multiply(X,Y) = inverse(double_divide(Y,X)),
    inference(cnf_transformation,[],[multiply]) ).

cnf('2',plain,
    double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2) = X1,
    inference(cnf_transformation,[],[single_axiom]) ).

cnf('3',plain,
    double_divide(multiply(multiply(double_divide(X,Y),inverse(Z)),X),Y) = Z,
    inference(simplify,[then_simplify],['2','1','1']) ).

cnf('4',plain,
    multiply(X,multiply(multiply(double_divide(Y,X),inverse(Z)),Y)) = inverse(Z),
    inference(paramodulation,[],['3','1']) ).

cnf('5',plain,
    double_divide(multiply(multiply(X,inverse(Y)),multiply(multiply(double_divide(Z,U),inverse(X)),Z)),U) = Y,
    inference(paramodulation,[],['3','3']) ).

cnf('6',plain,
    double_divide(inverse(X),multiply(X,inverse(Y))) = Y,
    inference(paramodulation,[],['4','5']) ).

cnf('7',plain,
    multiply(multiply(X,inverse(Y)),inverse(X)) = inverse(Y),
    inference(paramodulation,[],['6','1']) ).

cnf('8',plain,
    multiply(X3,multiply(multiply(double_divide(Y3,X3),multiply(Z3,U3)),Y3)) = inverse(double_divide(U3,Z3)),
    inference(paramodulation,[],['1','4']) ).

cnf('9',plain,
    multiply(X,multiply(multiply(double_divide(Y,X),multiply(Z,U)),Y)) = multiply(Z,U),
    inference(simplify,[],['8','1']) ).

cnf('10',plain,
    multiply(X,multiply(inverse(Y),Z)) = multiply(multiply(double_divide(U,double_divide(Z,X)),inverse(Y)),U),
    inference(paramodulation,[],['4','9']) ).

cnf('11',plain,
    double_divide(multiply(X,multiply(inverse(Y),Z)),double_divide(Z,X)) = Y,
    inference(paramodulation,[],['10','3']) ).

cnf('12',plain,
    double_divide(multiply(X,multiply(multiply(Y,Z),U)),double_divide(U,X)) = double_divide(Z,Y),
    inference(paramodulation,[],['1','11']) ).

cnf('13',plain,
    double_divide(multiply(X,inverse(Y)),double_divide(inverse(Z),X)) = double_divide(inverse(Y),Z),
    inference(paramodulation,[],['7','12']) ).

cnf('14',plain,
    multiply(double_divide(X,Y),multiply(Y,multiply(inverse(Z),X))) = inverse(Z),
    inference(paramodulation,[],['10','4']) ).

cnf('15',plain,
    multiply(double_divide(multiply(inverse(X),Y),double_divide(Y,inverse(Z))),inverse(X)) = inverse(Z),
    inference(paramodulation,[],['14','14']) ).

cnf('16',plain,
    multiply(double_divide(inverse(X),X),inverse(Y)) = inverse(Y),
    inference(paramodulation,[],['13','15']) ).

cnf('17',plain,
    double_divide(multiply(X,Y),multiply(double_divide(Y,X),inverse(Z))) = Z,
    inference(paramodulation,[],['1','6']) ).

cnf('18',plain,
    double_divide(multiply(X,inverse(X)),inverse(Y)) = Y,
    inference(paramodulation,[],['16','17']) ).

cnf('19',plain,
    double_divide(multiply(double_divide(X,Y),multiply(Y,X)),inverse(Z)) = Z,
    inference(paramodulation,[],['1','18']) ).

cnf('20',plain,
    double_divide(multiply(double_divide(X,Y),multiply(Y,X)),multiply(Z,U)) = double_divide(U,Z),
    inference(paramodulation,[],['1','19']) ).

cnf('21',plain,
    double_divide(multiply(multiply(double_divide(X,Y),multiply(Z,U)),X),Y) = double_divide(U,Z),
    inference(paramodulation,[],['1','3']) ).

cnf('22',plain,
    double_divide(multiply(inverse(X),Y),Z) = double_divide(U,multiply(double_divide(U,double_divide(Y,Z)),inverse(X))),
    inference(paramodulation,[],['4','21']) ).

cnf('23',plain,
    double_divide(multiply(inverse(X),Y),Z) = double_divide(multiply(Z,multiply(inverse(U),Y)),multiply(U,inverse(X))),
    inference(paramodulation,[],['11','22']) ).

cnf('24',plain,
    double_divide(multiply(inverse(X),Y),double_divide(Y,inverse(Z))) = double_divide(inverse(X),Z),
    inference(paramodulation,[],['20','23']) ).

cnf('25',plain,
    double_divide(inverse(X),double_divide(multiply(inverse(X),Y),double_divide(Y,inverse(Z)))) = Z,
    inference(paramodulation,[],['14','11']) ).

cnf('26',plain,
    double_divide(inverse(X),double_divide(inverse(X),Y)) = Y,
    inference(paramodulation,[],['24','25']) ).

cnf('27',plain,
    double_divide(inverse(X),Y) = multiply(X,inverse(Y)),
    inference(paramodulation,[],['6','26']) ).

cnf('28',plain,
    double_divide(multiply(X,Y),Z) = multiply(double_divide(Y,X),inverse(Z)),
    inference(paramodulation,[],['1','27']) ).

cnf('29',plain,
    double_divide(multiply(X,inverse(X)),Y) = inverse(Y),
    inference(paramodulation,[],['28','16']) ).

cnf('30',plain,
    double_divide(multiply(inverse(X),inverse(Y)),Y) = X,
    inference(paramodulation,[],['16','3']) ).

cnf('31',plain,
    inverse(inverse(X)) = X,
    inference(paramodulation,[],['29','30']) ).

cnf('32',plain,
    double_divide(X,Y) = multiply(inverse(X),inverse(Y)),
    inference(paramodulation,[],['31','27']) ).

cnf('33',plain,
    double_divide(double_divide(X,Y),Y) = X,
    inference(paramodulation,[],['32','30']) ).

cnf('34',plain,
    multiply(X,multiply(inverse(Y),inverse(X))) = inverse(Y),
    inference(paramodulation,[],['16','4']) ).

cnf('35',plain,
    multiply(X,double_divide(Y,X)) = inverse(Y),
    inference(paramodulation,[],['32','34']) ).

cnf('36',plain,
    multiply(X3,double_divide(inverse(Y3),X3)) = Y3,
    inference(paramodulation,[],['31','35']) ).

cnf('37',plain,
    multiply(X,multiply(Y,inverse(X))) = Y,
    inference(simplify,[],['36','27']) ).

cnf('38',plain,
    multiply(inverse(X3),multiply(Y3,X3)) = Y3,
    inference(paramodulation,[],['31','37']) ).

cnf('39',plain,
    double_divide(X,double_divide(Y,Z)) = multiply(inverse(X),multiply(Z,Y)),
    inference(paramodulation,[],['1','32']) ).

cnf('40',plain,
    double_divide(X,double_divide(X,Y)) = Y,
    inference(simplify,[],['38','39']) ).

cnf('41',plain,
    double_divide(double_divide(X,Y),X) = Y,
    inference(paramodulation,[],['33','40']) ).

cnf('42',plain,
    multiply(X3,Y3) = inverse(double_divide(X3,Y3)),
    inference(paramodulation,[],['41','35']) ).

cnf('43',plain,
    multiply(X,Y) = multiply(Y,X),
    inference(simplify,[],['42','1']) ).

cnf('44',plain,
    multiply(a,b) != multiply(b,a),
    inference(cnf_transformation,[],[prove_these_axioms_4]) ).

cnf('45',plain,
    $false,
    inference(resolution,[],['43','44']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP608-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n001.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  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 21:31:35 EDT 2023
% 0.19/0.34  % CPUTime  : 
% 0.19/0.38  
% 0.19/0.38  input clause set summed statistics:
% 0.19/0.38  ----------------------------------
% 0.19/0.38  in_clause_count:                     3
% 0.19/0.38  in_rule_clause_count:                3
% 0.19/0.38  in_fact_clause_count:                0
% 0.19/0.38  in_answer_clause_count:              0
% 0.19/0.38  in_ground_clause_count:              1
% 0.19/0.38  in_unit_clause_count:                3
% 0.19/0.38  in_horn_clause_count:                3
% 0.19/0.38  in_pos_clause_count:                 2
% 0.19/0.38  in_neg_clause_count:                 1
% 0.19/0.38  in_poseq_clause_count:               2
% 0.19/0.38  in_negeq_clause_count:               1
% 0.19/0.38  in_unitposeq_clause_count:           2
% 0.19/0.38  in_chain_clause_count:               0
% 0.19/0.38  in_min_length:             1
% 0.19/0.38  in_max_length:             1
% 0.19/0.38  in_min_depth:              2
% 0.19/0.38  in_max_depth:              7
% 0.19/0.38  in_min_size:               7
% 0.19/0.38  in_max_size:              14
% 0.19/0.38  in_min_vars:               0
% 0.19/0.38  in_max_vars:               3
% 0.19/0.38  in_extaxiom_count:                 0
% 0.19/0.38  in_axiom_count:                    2
% 0.19/0.38  in_assumption_count:               0
% 0.19/0.38  in_goal_count:                     1
% 0.19/0.38  in_neg_goal_count:                 1
% 0.19/0.38  in_pos_goal_count:                 0
% 0.19/0.38  in_posunit_goal_count:             0
% 0.19/0.38  
% 0.19/0.38  auto guide:
% 0.19/0.38  -----------
% 0.19/0.38  {
% 0.19/0.38  "print":1,
% 0.19/0.38  "print_level": 15,
% 0.19/0.38  "max_size": 0,
% 0.19/0.38  "max_depth": 0,
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% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
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% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
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% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
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% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
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% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0},
% 0.19/0.38  {"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},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.19/0.38  {"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},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "rewrite":0},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 0},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 1},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 2},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 6},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 8},
% 0.19/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 10},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":10},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.19/0.38  
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
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% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 0},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 1},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 2},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 6},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 8},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 10},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":10},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4} 
% 0.19/0.38  
% 0.19/0.38  ]}
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  **** run 1 fork 0 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.19/0.38  
% 0.19/0.38  **** run 2 fork 1 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 3 fork 2 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.19/0.38  
% 0.19/0.38  **** run 4 fork 3 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.19/0.38  
% 0.19/0.38  **** run 5 fork 4 starts with strategy
% 0.19/0.38  
% 0.19/0.38  **** run 8 fork 7 starts with strategy
% 0.19/0.38  
% 0.19/0.38  **** run 6 fork 5 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.19/0.38  
% 0.19/0.38  **** run 7 fork 6 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.19/0.49  
% 0.19/0.49  
% 0.19/0.49  result: proof found
% 0.19/0.49  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.49  by run 8 fork 7 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.19/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.49  
% 0.19/0.49  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.19/0.49  
% 0.19/0.49  run 8 fork 7 statistics:
% 0.19/0.49  ----------------------------------
% 0.19/0.49  this run seconds: 0.090900
% 0.19/0.49  total seconds: 0.109594
% 0.19/0.49  stat_given_used: 102
% 0.19/0.49  stat_given_used_at_endgame: 0
% 0.19/0.49  stat_given_candidates:   195
% 0.19/0.49  stat_given_candidates_at_endgame: 0
% 0.19/0.49  stat_given_candidates_h: 0
% 0.19/0.49  stat_binres_derived_cl:   1
% 0.19/0.49  stat_binres_derived_cl_h: 0
% 0.19/0.49  stat_factor_derived_cl: 0
% 0.19/0.49  stat_para_derived_cl: 12027
% 0.19/0.49  stat_tautologies_discarded: 0
% 0.19/0.49  stat_forward_subsumed: 963
% 0.19/0.49  stat_derived_cut: 0
% 0.19/0.49  stat_derived_rewritten: 14
% 0.19/0.49  stat_weight_discarded_building: 0
% 0.19/0.49  stat_weight_discarded_cl: 3846
% 0.19/0.49  stat_internlimit_discarded_cl: 0
% 0.19/0.49  stat_simplified:  14 simplified 0 derived 0 given
% 0.19/0.49  stat_kept_cl: 6866
% 0.19/0.49  stat_built_cl: 10930
% 0.19/0.49  stat_hyperres_partial_cl: 0
% 0.19/0.49  stat_made_rewriters: 98
% 0.19/0.49  stat_backward_subsumed: 0
% 0.19/0.49  stat_propagated_subsumed: 0
% 0.19/0.49  stat_clsubs_attempted:                       350
% 0.19/0.49  stat_clsubs_fact_groundunit_found:             0
% 0.19/0.49  stat_clsubs_rule_groundunit_found:             1
% 0.19/0.49  stat_clsubs_top_meta_attempted:               5050
% 0.19/0.49  stat_clsubs_top_meta_failed:                  4700
% 0.19/0.49  stat_clsubs_top_meta_nonpref_attempted:                5050
% 0.19/0.49  stat_clsubs_top_meta_nonpref_succeeded:                1045
% 0.19/0.49  stat_clsubs_top_meta_pref_attempted:                   1045
% 0.19/0.49  stat_clsubs_top_meta_pref1_succeeded:                  1045
% 0.19/0.49  stat_clsubs_top_meta_pref2_succeeded:                   545
% 0.19/0.49  stat_clsubs_top_meta_pref3_succeeded:                   350
% 0.19/0.49  stat_clsubs_top_meta_pref_succeeded:                    350
% 0.19/0.49  stat_clsubs_meta_attempted:                  350
% 0.19/0.49  stat_clsubs_meta_failed:                      36
% 0.19/0.49  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.49  stat_clsubs_unit_attempted:                  350
% 0.19/0.49  stat_clsubs_full_attempted:                    0
% 0.19/0.49  stat_forwardsubs_attempted:                11675
% 0.19/0.49  stat_lit_hash_added:                   6870
% 0.19/0.49  stat_lit_hash_computed:               18653
% 0.19/0.49  stat_lit_hash_match_found:              967
% 0.19/0.49  stat_lit_hash_match_miss:             21542
% 0.19/0.49  stat_lit_hash_cut_ok:                     0
% 0.19/0.49  stat_lit_strong_cut_ok:                   0
% 0.19/0.49  stat_lit_hash_subsume_ok:               963
% 0.19/0.49  clqueue els 10000000 used 1
% 0.19/0.49  clactive els 10000000 used 103
% 0.19/0.49  clactivesubsume els 10000000 used 607
% 0.19/0.49  queue_termbuf els 200000000 used 650625
% 0.19/0.49  hyper_termbuf els 100000000 used 1
% 0.19/0.49  active_termbuf els 100000000 used 5260
% 0.19/0.49  varstack els 5000 last used 1
% 0.19/0.49  given_termbuf els 10000000 last used 28
% 0.19/0.49  simplified_termbuf els 10000000 last used 1
% 0.19/0.49  derived_termbuf els 10000000 last used 3
% 0.19/0.49  wr_mallocs: 27048
% 0.19/0.49  wr_callocs: 21
% 0.19/0.49  wr_reallocs: 779
% 0.19/0.49  wr_frees: 2
% 0.19/0.49  wr_malloc_bytes: 4163549588
% 0.19/0.49  wr_calloc_bytes: 112065536
% 0.19/0.49  wr_realloc_bytes: 167296
% 0.19/0.49  wr_realloc_freebytes: 0
% 0.19/0.49  ----------------------------------
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  result: proof found
% 0.19/0.50  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.50  by run 1 fork 0 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.50  
% 0.19/0.50  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.50  cnf('1', plain, (multiply(X,Y) = inverse(double_divide(Y,X))),
% 0.19/0.50    inference(cnf_transformation,[],['multiply'])).
% 0.19/0.50  cnf('2', plain, (double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2) = X1),
% 0.19/0.50    inference(cnf_transformation,[],['single_axiom'])).
% 0.19/0.50  cnf('3', plain, (double_divide(multiply(multiply(double_divide(X,Y),inverse(Z)),X),Y) = Z),
% 0.19/0.50    inference(simplify,[then_simplify],['2','1','1'])).
% 0.19/0.50  cnf('4', plain, (multiply(X,multiply(multiply(double_divide(Y,X),inverse(Z)),Y)) = inverse(Z)),
% 0.19/0.50    inference(paramodulation,[],['3','1'])).
% 0.19/0.50  cnf('5', plain, (double_divide(multiply(multiply(X,inverse(Y)),multiply(multiply(double_divide(Z,U),inverse(X)),Z)),U) = Y),
% 0.19/0.50    inference(paramodulation,[],['3','3'])).
% 0.19/0.50  cnf('6', plain, (double_divide(inverse(X),multiply(X,inverse(Y))) = Y),
% 0.19/0.50    inference(paramodulation,[],['4','5'])).
% 0.19/0.50  cnf('7', plain, (multiply(multiply(X,inverse(Y)),inverse(X)) = inverse(Y)),
% 0.19/0.50    inference(paramodulation,[],['6','1'])).
% 0.19/0.50  cnf('8', plain, (multiply(multiply(X3,multiply(Y3,Z3)),inverse(X3)) = inverse(double_divide(Z3,Y3))),
% 0.19/0.50    inference(paramodulation,[],['1','7'])).
% 0.19/0.50  cnf('9', plain, (multiply(multiply(X,multiply(Y,Z)),inverse(X)) = multiply(Y,Z)),
% 0.19/0.50    inference(simplify,[],['8','1'])).
% 0.19/0.50  cnf('10', plain, (double_divide(inverse(multiply(X,inverse(Y))),inverse(Y)) = X),
% 0.19/0.50    inference(paramodulation,[],['7','6'])).
% 0.19/0.50  cnf('11', plain, (double_divide(inverse(multiply(X,Y)),inverse(Z)) = multiply(Z,multiply(X,Y))),
% 0.19/0.50    inference(paramodulation,[],['9','10'])).
% 0.19/0.50  cnf('12', plain, (multiply(X,multiply(Y,inverse(X))) = Y),
% 0.19/0.50    inference(paramodulation,[],['11','10'])).
% 0.19/0.50  cnf('13', plain, (multiply(double_divide(X,Y),multiply(Z,multiply(Y,X))) = Z),
% 0.19/0.50    inference(paramodulation,[],['1','12'])).
% 0.19/0.50  cnf('14', plain, (multiply(double_divide(inverse(X),Y),Y) = X),
% 0.19/0.50    inference(paramodulation,[],['12','13'])).
% 0.19/0.50  cnf('15', plain, (multiply(X,Y) = double_divide(inverse(Y),inverse(X))),
% 0.19/0.50    inference(paramodulation,[],['14','12'])).
% 0.19/0.50  cnf('16', plain, (multiply(multiply(X,Y),inverse(X)) = Y),
% 0.19/0.50    inference(paramodulation,[],['15','14'])).
% 0.19/0.50  cnf('17', plain, (double_divide(inverse(multiply(X,Y)),Y) = X),
% 0.19/0.50    inference(paramodulation,[],['16','6'])).
% 0.19/0.50  cnf('18', plain, (multiply(X3,multiply(multiply(double_divide(Y3,X3),multiply(Z3,U3)),Y3)) = inverse(double_divide(U3,Z3))),
% 0.19/0.50    inference(paramodulation,[],['1','4'])).
% 0.19/0.50  cnf('19', plain, (multiply(X,multiply(multiply(double_divide(Y,X),multiply(Z,U)),Y)) = multiply(Z,U)),
% 0.19/0.50    inference(simplify,[],['18','1'])).
% 0.19/0.50  cnf('20', plain, (multiply(X,multiply(multiply(Y,Z),U)) = multiply(multiply(double_divide(V,double_divide(U,X)),multiply(Y,Z)),V)),
% 0.19/0.50    inference(paramodulation,[],['19','19'])).
% 0.19/0.50  cnf('21', plain, (multiply(inverse(X),inverse(multiply(Y,inverse(X)))) = inverse(Y)),
% 0.19/0.50    inference(paramodulation,[],['7','7'])).
% 0.19/0.50  cnf('22', plain, (multiply(inverse(X),inverse(inverse(Y))) = inverse(multiply(X,inverse(Y)))),
% 0.19/0.50    inference(paramodulation,[],['21','7'])).
% 0.19/0.50  cnf('23', plain, (multiply(double_divide(inverse(X),X),inverse(Y)) = inverse(Y)),
% 0.19/0.50    inference(paramodulation,[],['12','4'])).
% 0.19/0.50  cnf('24', plain, (double_divide(multiply(X,Y),multiply(double_divide(Y,X),inverse(Z))) = Z),
% 0.19/0.50    inference(paramodulation,[],['1','6'])).
% 0.19/0.50  cnf('25', plain, (double_divide(multiply(X,inverse(X)),inverse(Y)) = Y),
% 0.19/0.50    inference(paramodulation,[],['23','24'])).
% 0.19/0.50  cnf('26', plain, (double_divide(inverse(multiply(X3,inverse(X3))),inverse(Y3)) = Y3),
% 0.19/0.50    inference(paramodulation,[],['22','25'])).
% 0.19/0.50  cnf('27', plain, (multiply(X,multiply(Y,inverse(Y))) = X),
% 0.19/0.50    inference(simplify,[],['26','15'])).
% 0.19/0.50  cnf('28', plain, (multiply(double_divide(inverse(X),X),Y) = Y),
% 0.19/0.50    inference(paramodulation,[],['27','13'])).
% 0.19/0.50  cnf('29', plain, (multiply(multiply(X,inverse(X)),Y) = Y),
% 0.19/0.50    inference(paramodulation,[],['15','28'])).
% 0.19/0.50  cnf('30', plain, (multiply(multiply(double_divide(X,Y),multiply(Y,X)),Z) = Z),
% 0.19/0.50    inference(paramodulation,[],['1','29'])).
% 0.19/0.50  cnf('31', plain, (multiply(X,multiply(multiply(double_divide(Y,X),Z),Y)) = Z),
% 0.19/0.50    inference(paramodulation,[],['20','30'])).
% 0.19/0.50  cnf('32', plain, (multiply(double_divide(X,multiply(double_divide(X,Y),Z)),Z) = Y),
% 0.19/0.50    inference(paramodulation,[],['31','13'])).
% 0.19/0.50  cnf('33', plain, (multiply(double_divide(X,Y),multiply(Y,multiply(Z,X))) = Z),
% 0.19/0.50    inference(paramodulation,[],['13','32'])).
% 0.19/0.50  cnf('34', plain, (multiply(X,multiply(double_divide(Y,Z),multiply(Z,Y))) = X),
% 0.19/0.50    inference(paramodulation,[],['1','27'])).
% 0.19/0.50  cnf('35', plain, (X = double_divide(Y,double_divide(Y,X))),
% 0.19/0.50    inference(paramodulation,[],['33','34'])).
% 0.19/0.50  cnf('36', plain, (multiply(X,double_divide(inverse(Y),X)) = Y),
% 0.19/0.50    inference(paramodulation,[],['35','14'])).
% 0.19/0.50  cnf('37', plain, (multiply(a,b) != multiply(b,a)),
% 0.19/0.50    inference(cnf_transformation,[],['prove_these_axioms_4'])).
% 0.19/0.50  cnf('38', plain, ($false),
% 0.19/0.50    inference(paramodulation,[then_simplify],['17','36','37'])).
% 0.19/0.50  
% 0.19/0.50  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.50  
% 0.19/0.50  run 1 fork 0 statistics:
% 0.19/0.50  ----------------------------------
% 0.19/0.50  this run seconds: 0.058287
% 0.19/0.50  total seconds: 0.077584
% 0.19/0.50  stat_given_used: 62
% 0.19/0.50  stat_given_used_at_endgame: 0
% 0.19/0.50  stat_given_candidates:   143
% 0.19/0.50  stat_given_candidates_at_endgame: 0
% 0.19/0.50  stat_given_candidates_h: 0
% 0.19/0.50  stat_binres_derived_cl:   0
% 0.19/0.50  stat_binres_derived_cl_h: 0
% 0.19/0.50  stat_factor_derived_cl: 0
% 0.19/0.50  stat_para_derived_cl: 3822
% 0.19/0.50  stat_tautologies_discarded: 0
% 0.19/0.50  stat_forward_subsumed: 703
% 0.19/0.50  stat_derived_cut: 1
% 0.19/0.50  stat_derived_rewritten: 4
% 0.19/0.50  stat_weight_discarded_building: 0
% 0.19/0.50  stat_weight_discarded_cl: 52
% 0.19/0.50  stat_internlimit_discarded_cl: 0
% 0.19/0.50  stat_simplified:  4 simplified 0 derived 0 given
% 0.19/0.50  stat_kept_cl: 2849
% 0.19/0.50  stat_built_cl: 3029
% 0.19/0.50  stat_hyperres_partial_cl: 0
% 0.19/0.50  stat_made_rewriters: 61
% 0.19/0.50  stat_backward_subsumed: 0
% 0.19/0.50  stat_propagated_subsumed: 0
% 0.19/0.50  stat_clsubs_attempted:                       227
% 0.19/0.50  stat_clsubs_fact_groundunit_found:             0
% 0.19/0.50  stat_clsubs_rule_groundunit_found:             1
% 0.19/0.50  stat_clsubs_top_meta_attempted:               1830
% 0.19/0.50  stat_clsubs_top_meta_failed:                  1603
% 0.19/0.50  stat_clsubs_top_meta_nonpref_attempted:                1830
% 0.19/0.50  stat_clsubs_top_meta_nonpref_succeeded:                 587
% 0.19/0.50  stat_clsubs_top_meta_pref_attempted:                    587
% 0.19/0.50  stat_clsubs_top_meta_pref1_succeeded:                   587
% 0.19/0.50  stat_clsubs_top_meta_pref2_succeeded:                   337
% 0.19/0.50  stat_clsubs_top_meta_pref3_succeeded:                   227
% 0.19/0.50  stat_clsubs_top_meta_pref_succeeded:                    227
% 0.19/0.50  stat_clsubs_meta_attempted:                  227
% 0.19/0.50  stat_clsubs_meta_failed:                      11
% 0.19/0.50  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.50  stat_clsubs_unit_attempted:                  227
% 0.19/0.50  stat_clsubs_full_attempted:                    0
% 0.19/0.50  stat_forwardsubs_attempted:                 3605
% 0.19/0.50  stat_lit_hash_added:                   2853
% 0.19/0.50  stat_lit_hash_computed:                6523
% 0.19/0.50  stat_lit_hash_match_found:              704
% 0.19/0.50  stat_lit_hash_match_miss:              5872
% 0.19/0.50  stat_lit_hash_cut_ok:                     0
% 0.19/0.50  stat_lit_strong_cut_ok:                   1
% 0.19/0.50  stat_lit_hash_subsume_ok:               703
% 0.19/0.50  clqueue els 10000000 used 1
% 0.19/0.50  clactive els 10000000 used 63
% 0.19/0.50  clactivesubsume els 10000000 used 367
% 0.19/0.50  queue_termbuf els 200000000 used 241030
% 0.19/0.50  hyper_termbuf els 100000000 used 1
% 0.19/0.50  active_termbuf els 100000000 used 2873
% 0.19/0.50  varstack els 5000 last used 1
% 0.19/0.50  given_termbuf els 10000000 last used 1
% 0.19/0.50  simplified_termbuf els 10000000 last used 1
% 0.19/0.50  derived_termbuf els 10000000 last used 10
% 0.19/0.50  wr_mallocs: 11108
% 0.19/0.50  wr_callocs: 21
% 0.19/0.50  wr_reallocs: 240
% 0.19/0.50  wr_frees: 2
% 0.19/0.50  wr_malloc_bytes: 4162978804
% 0.19/0.50  wr_calloc_bytes: 112065536
% 0.19/0.50  wr_realloc_bytes: 66104
% 0.19/0.50  wr_realloc_freebytes: 0
% 0.19/0.50  ----------------------------------
%------------------------------------------------------------------------------