%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SWV818-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n019.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 : Tue May 21 05:48:56 EDT 2024

% Result   : Unsatisfiable 3.01s 1.94s
% Output   : Refutation 3.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   15 (   9 unt;   6 typ;   0 def)
%            Number of atoms       :    9 (   8 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   14 (   2   ~;   0   |;   0   &;  12   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   6 con; 0-3 aty)
%            Number of variables   :    8 (   0   ^   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v_s_type,type,
    v_s: $i ).

thf(v_t_type,type,
    v_t: $i ).

thf(v_ta_type,type,
    v_ta: $i ).

thf(c_Code__Evaluation_Otracing_type,type,
    c_Code__Evaluation_Otracing: $i > $i > $i > $i ).

thf(v_x_type,type,
    v_x: $i ).

thf(t_a_type,type,
    t_a: $i ).

thf(1,negated_conjecture,
    v_s != v_t,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(5,plain,
    v_s != v_t,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(2,negated_conjecture,
    ! [A: $i] : ( A = v_ta ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

thf(6,plain,
    ! [A: $i] : ( A = v_ta ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Code__Evaluation_Otracing @ A @ B @ C )
      = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tracing__def_0) ).

thf(10,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Code__Evaluation_Otracing @ A @ B @ C )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(4,axiom,
    ( ( c_Code__Evaluation_Otracing @ v_s @ v_x @ t_a )
    = v_x ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tracing__def__raw_0) ).

thf(12,plain,
    ( ( c_Code__Evaluation_Otracing @ v_s @ v_x @ t_a )
    = v_x ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(15,plain,
    $false,
    inference(e,[status(thm)],[5,6,10,12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV818-1 : TPTP v8.2.0. Released v4.1.0.
% 0.06/0.14  % Command  : run_Leo-III %s %d
% 0.13/0.36  % Computer : n019.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Sun May 19 07:21:54 EDT 2024
% 0.13/0.37  % CPUTime  : 
% 1.05/0.94  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.31/1.05  % [INFO] 	 Parsing done (115ms). 
% 1.31/1.06  % [INFO] 	 Running in sequential loop mode. 
% 1.75/1.35  % [INFO] 	 eprover registered as external prover. 
% 1.75/1.35  % [INFO] 	 cvc4 registered as external prover. 
% 1.75/1.35  % [INFO] 	 Scanning for conjecture ... 
% 1.84/1.42  % [INFO] 	 Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ... 
% 1.97/1.46  % [INFO] 	 Axiom selection finished. Selected 2 axioms (removed 0 axioms). 
% 1.97/1.46  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.97/1.47  % [INFO] 	 Type checking passed. 
% 2.07/1.47  % [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 ... 
% 2.20/1.62  % [INFO] 	 [Domain constraints] Detected constraint on $i 
% 2.20/1.62  % [INFO] 	 [Domain constraints] dom($i) ⊆ {v_ta} 
% 2.86/1.88  % External prover 'e' found a proof!
% 2.86/1.89  % [INFO] 	 Killing All external provers ... 
% 2.86/1.89  % Time passed: 1340ms (effective reasoning time: 819ms)
% 3.01/1.94  % Axioms used in derivation (2): cls_tracing__def_0, cls_tracing__def__raw_0
% 3.01/1.94  % No. of inferences in proof: 9
% 3.01/1.94  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1340 ms resp. 819 ms w/o parsing
% 3.01/1.98  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.01/1.98  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------