TSTP Solution File: SYN085-1.010 by Leo-III---1.7.7

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%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SYN085-1.010 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n011.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 : Fri May 19 12:27:16 EDT 2023

% Result   : Unsatisfiable 2.44s 1.49s
% Output   : Refutation 2.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   36 (  23 unt;  11 typ;   0 def)
%            Number of atoms       :   45 (   0 equ;   0 cnn)
%            Maximal formula atoms :   11 (   1 avg)
%            Number of connectives :   42 (  22   ~;  20   |;   0   &;   0   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;  12 con; 0-0 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(p_0_type,type,
    p_0: $o ).

thf(p_1_type,type,
    p_1: $o ).

thf(p_2_type,type,
    p_2: $o ).

thf(p_3_type,type,
    p_3: $o ).

thf(p_4_type,type,
    p_4: $o ).

thf(p_5_type,type,
    p_5: $o ).

thf(p_6_type,type,
    p_6: $o ).

thf(p_7_type,type,
    p_7: $o ).

thf(p_8_type,type,
    p_8: $o ).

thf(p_9_type,type,
    p_9: $o ).

thf(p_10_type,type,
    p_10: $o ).

thf(6,axiom,
    p_4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_5) ).

thf(20,plain,
    p_4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(7,axiom,
    p_5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_6) ).

thf(21,plain,
    p_5,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(1,negated_conjecture,
    ~ p_0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_goal_1) ).

thf(13,plain,
    ~ p_0,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(3,axiom,
    p_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_2) ).

thf(17,plain,
    p_1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(8,axiom,
    p_6,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_7) ).

thf(22,plain,
    p_6,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(4,axiom,
    p_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_3) ).

thf(18,plain,
    p_2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(5,axiom,
    p_3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_4) ).

thf(19,plain,
    p_3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(2,axiom,
    ( p_0
    | ~ p_1
    | ~ p_2
    | ~ p_3
    | ~ p_4
    | ~ p_5
    | ~ p_6
    | ~ p_7
    | ~ p_8
    | ~ p_9
    | ~ p_10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_1) ).

thf(15,plain,
    ( p_0
    | ~ p_1
    | ~ p_2
    | ~ p_3
    | ~ p_4
    | ~ p_5
    | ~ p_6
    | ~ p_7
    | ~ p_8
    | ~ p_9
    | ~ p_10 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(10,axiom,
    p_8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_9) ).

thf(24,plain,
    p_8,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(11,axiom,
    p_9,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_10) ).

thf(25,plain,
    p_9,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(12,axiom,
    p_10,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_11) ).

thf(26,plain,
    p_10,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(9,axiom,
    p_7,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_8) ).

thf(23,plain,
    p_7,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(29,plain,
    $false,
    inference(e,[status(thm)],[20,21,13,17,22,18,19,15,24,25,26,23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN085-1.010 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.15  % Command  : run_Leo-III %s %d
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May 18 19:47:04 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.88/0.83  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.22/0.94  % [INFO] 	 Parsing done (104ms). 
% 1.22/0.95  % [INFO] 	 Running in sequential loop mode. 
% 1.50/1.14  % [INFO] 	 eprover registered as external prover. 
% 1.50/1.14  % [INFO] 	 cvc4 registered as external prover. 
% 1.50/1.15  % [INFO] 	 Scanning for conjecture ... 
% 1.74/1.19  % [INFO] 	 Found a conjecture and 11 axioms. Running axiom selection ... 
% 1.74/1.21  % [INFO] 	 Axiom selection finished. Selected 11 axioms (removed 0 axioms). 
% 1.74/1.21  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.74/1.22  % [INFO] 	 Type checking passed. 
% 1.74/1.22  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 2.44/1.48  % External prover 'e' found a proof!
% 2.44/1.49  % [INFO] 	 Killing All external provers ... 
% 2.44/1.49  % Time passed: 976ms (effective reasoning time: 537ms)
% 2.44/1.49  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 2.44/1.49  % Axioms used in derivation (11): s1_4, s1_7, s1_5, s1_2, s1_8, s1_6, s1_1, s1_10, s1_9, s1_11, s1_3
% 2.44/1.49  % No. of inferences in proof: 25
% 2.44/1.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 976 ms resp. 537 ms w/o parsing
% 2.61/1.51  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.61/1.51  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------