%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GEO048-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n013.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 22:45:46 EDT 2023

% Result   : Unsatisfiable 0.43s 0.60s
% Output   : CNFRefutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   33 (  12 unt;  17 typ;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   9   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (   8   >;  26   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :   15 (  15 usr;   9 con; 0-6 aty)
%            Number of variables   :   16 (   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,
    u: $i ).

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

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

tff(decl_36,type,
    u1: $i ).

tff(decl_37,type,
    v1: $i ).

tff(decl_38,type,
    x: $i ).

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

cnf(v_between_u_and_w,hypothesis,
    between(u,v,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).

cnf(prove_conclusion2,negated_conjecture,
    ~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_conclusion2) ).

cnf(inner_pasch2,axiom,
    ( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
    | ~ between(X1,X2,X3)
    | ~ between(X4,X5,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).

cnf(v1_between_u1_and_w,hypothesis,
    between(u1,v1,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_between_u1_and_w) ).

cnf(x_between_u_and_u1,hypothesis,
    between(u,x,u1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_between_u_and_u1) ).

cnf(c_0_6,axiom,
    ( between(X3,X2,X1)
    | ~ between(X1,X2,X3) ),
    t1 ).

cnf(c_0_7,hypothesis,
    between(u,v,w),
    v_between_u_and_w ).

cnf(c_0_8,negated_conjecture,
    ~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
    prove_conclusion2 ).

cnf(c_0_9,axiom,
    ( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
    | ~ between(X1,X2,X3)
    | ~ between(X4,X5,X3) ),
    inner_pasch2 ).

cnf(c_0_10,hypothesis,
    between(w,v,u),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_11,hypothesis,
    between(u1,v1,w),
    v1_between_u1_and_w ).

cnf(c_0_12,negated_conjecture,
    ~ between(v1,inner_pasch(u,x,u1,v1,w),u),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).

cnf(c_0_13,hypothesis,
    between(w,v1,u1),
    inference(spm,[status(thm)],[c_0_6,c_0_11]) ).

cnf(c_0_14,hypothesis,
    between(u,x,u1),
    x_between_u_and_u1 ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_9]),c_0_13]),c_0_14])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : GEO048-3 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35  % Computer : n013.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
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 20:47:01 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.58  start to proof: theBenchmark
% 0.43/0.60  % Version  : CSE_E---1.5
% 0.43/0.60  % Problem  : theBenchmark.p
% 0.43/0.60  % Proof found
% 0.43/0.60  % SZS status Theorem for theBenchmark.p
% 0.43/0.60  % SZS output start Proof
% See solution above
% 0.43/0.60  % Total time : 0.012000 s
% 0.43/0.60  % SZS output end Proof
% 0.43/0.60  % Total time : 0.014000 s
%------------------------------------------------------------------------------