%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SYN318-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n020.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 12:28:20 EDT 2023

% Result   : Unsatisfiable 2.29s 1.61s
% Output   : Refutation 2.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   14 (   7 unt;   5 typ;   0 def)
%            Number of atoms       :   13 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   22 (   6   ~;   4   |;   0   &;  12   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :    4 (   0   ^;   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(f_type,type,
    f: $i > $o ).

thf(b_type,type,
    b: $i ).

thf(g_type,type,
    g: $i > $o ).

thf(p_type,type,
    p: $i > $o ).

thf(a_type,type,
    a: $i ).

thf(1,negated_conjecture,
    ! [A: $i] :
      ( ~ ( f @ A )
      | ~ ( f @ b )
      | ( g @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

thf(5,plain,
    ! [A: $i] :
      ( ~ ( f @ A )
      | ~ ( f @ b )
      | ( g @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(2,negated_conjecture,
    p @ a,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

thf(6,plain,
    p @ a,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,negated_conjecture,
    ! [A: $i] : ( f @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

thf(7,plain,
    ! [A: $i] : ( f @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(4,negated_conjecture,
    ~ ( g @ b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

thf(8,plain,
    ~ ( g @ b ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(11,plain,
    $false,
    inference(e,[status(thm)],[5,6,7,8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN318-1 : TPTP v8.1.2. Released v1.2.0.
% 0.14/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu May 18 19:46:03 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.96/0.88  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.19/1.02  % [INFO] 	 Parsing done (135ms). 
% 1.19/1.03  % [INFO] 	 Running in sequential loop mode. 
% 1.69/1.27  % [INFO] 	 eprover registered as external prover. 
% 1.69/1.27  % [INFO] 	 cvc4 registered as external prover. 
% 1.69/1.28  % [INFO] 	 Scanning for conjecture ... 
% 1.84/1.33  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ... 
% 1.84/1.35  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.84/1.36  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.84/1.36  % [INFO] 	 Type checking passed. 
% 1.84/1.36  % [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 ... 
% 2.29/1.61  % External prover 'e' found a proof!
% 2.29/1.61  % [INFO] 	 Killing All external provers ... 
% 2.29/1.61  % Time passed: 1059ms (effective reasoning time: 578ms)
% 2.29/1.61  % 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)>
% 2.29/1.61  % Axioms used in derivation (0): 
% 2.29/1.61  % No. of inferences in proof: 9
% 2.29/1.61  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1059 ms resp. 578 ms w/o parsing
% 2.29/1.63  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.29/1.63  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------