%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GEO007-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n027.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 : Wed Aug 30 22:45:26 EDT 2023

% Result   : Unsatisfiable 0.62s 0.68s
% Output   : CNFRefutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   36 (  14 unt;  16 typ;   0 def)
%            Number of atoms       :   33 (   4 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   26 (  13   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   38 (   9   >;  29   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-6 aty)
%            Number of variables   :   15 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    equidistant: ( $i * $i * $i * $i ) > $o ).

tff(decl_23,type,
    extension: ( $i * $i * $i * $i ) > $i ).

tff(decl_24,type,
    between: ( $i * $i * $i ) > $o ).

tff(decl_25,type,
    inner_pasch: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_26,type,
    lower_dimension_point_1: $i ).

tff(decl_27,type,
    lower_dimension_point_2: $i ).

tff(decl_28,type,
    lower_dimension_point_3: $i ).

tff(decl_29,type,
    euclid1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_30,type,
    euclid2: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_31,type,
    continuous: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_32,type,
    reflection: ( $i * $i ) > $i ).

tff(decl_33,type,
    insertion: ( $i * $i * $i * $i ) > $i ).

tff(decl_34,type,
    a: $i ).

tff(decl_35,type,
    c: $i ).

tff(decl_36,type,
    d: $i ).

tff(decl_37,type,
    e: $i ).

cnf(t1,axiom,
    ( between(X3,X2,X1)
    | ~ between(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).

cnf(a_between_a_and_e,hypothesis,
    between(e,a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_between_a_and_e) ).

cnf(b13,axiom,
    ( X1 = X2
    | between(X2,X3,X4)
    | between(X2,X4,X3)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b13) ).

cnf(a_not_c,hypothesis,
    a != c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).

cnf(a_between_a_and_c,hypothesis,
    between(d,a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_between_a_and_c) ).

cnf(e_not_between_d_and_a,hypothesis,
    ~ between(d,e,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_not_between_d_and_a) ).

cnf(prove_d_between_e_and_a,negated_conjecture,
    ~ between(e,d,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_d_between_e_and_a) ).

cnf(c_0_7,axiom,
    ( between(X3,X2,X1)
    | ~ between(X1,X2,X3) ),
    t1 ).

cnf(c_0_8,hypothesis,
    between(e,a,c),
    a_between_a_and_e ).

cnf(c_0_9,axiom,
    ( X1 = X2
    | between(X2,X3,X4)
    | between(X2,X4,X3)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X2,X4) ),
    b13 ).

cnf(c_0_10,hypothesis,
    between(c,a,e),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,hypothesis,
    a != c,
    a_not_c ).

cnf(c_0_12,hypothesis,
    between(d,a,c),
    a_between_a_and_c ).

cnf(c_0_13,hypothesis,
    ( between(a,X1,e)
    | between(a,e,X1)
    | ~ between(c,a,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).

cnf(c_0_14,hypothesis,
    between(c,a,d),
    inference(spm,[status(thm)],[c_0_7,c_0_12]) ).

cnf(c_0_15,hypothesis,
    ( between(a,e,d)
    | between(a,d,e) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_16,hypothesis,
    ~ between(d,e,a),
    e_not_between_d_and_a ).

cnf(c_0_17,hypothesis,
    between(a,d,e),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_15]),c_0_16]) ).

cnf(c_0_18,negated_conjecture,
    ~ between(e,d,a),
    prove_d_between_e_and_a ).

cnf(c_0_19,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_17]),c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : GEO007-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.15  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.16/0.37  % Computer : n027.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Aug 29 21:48:23 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 0.45/0.63  start to proof: theBenchmark
% 0.62/0.68  % Version  : CSE_E---1.5
% 0.62/0.68  % Problem  : theBenchmark.p
% 0.62/0.68  % Proof found
% 0.62/0.68  % SZS status Theorem for theBenchmark.p
% 0.62/0.68  % SZS output start Proof
% See solution above
% 0.62/0.68  % Total time : 0.031000 s
% 0.62/0.68  % SZS output end Proof
% 0.62/0.68  % Total time : 0.035000 s
%------------------------------------------------------------------------------