TSTP Solution File: GEO008-3 by CSE

TSTP Solution File: GEO008-3 by CSE_E---1.5

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GEO008-3 : 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 : n022.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 22:45:27 EDT 2023

% Result   : Unsatisfiable 0.56s 0.68s
% Output   : CNFRefutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   51 (  15 unt;  17 typ;   0 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   50 (  22   ~;  28   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   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  :    3 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :   15 (  15 usr;   8 con; 0-6 aty)
%            Number of variables   :   40 (   2 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,
    e: $i ).

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

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

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

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

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

cnf(b14,axiom,
    ( between(X2,X4,X3)
    | between(X4,X2,X3)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b14) ).

cnf(b8,axiom,
    ( between(X1,X4,X3)
    | ~ between(X1,X2,X3)
    | ~ between(X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b8) ).

cnf(t2,axiom,
    between(X1,X1,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2) ).

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

cnf(b9,axiom,
    ( between(X1,X2,X4)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b9) ).

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

cnf(c_0_9,axiom,
    ( between(X3,X2,X1)
    | ~ between(X1,X2,X3) ),
    t1 ).

cnf(c_0_10,hypothesis,
    between(a,d,e),
    d_between_a_and_e ).

cnf(c_0_11,hypothesis,
    between(a,c,e),
    c_between_a_and_e ).

cnf(c_0_12,axiom,
    ( between(X2,X4,X3)
    | between(X4,X2,X3)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X4,X3) ),
    b14 ).

cnf(c_0_13,hypothesis,
    between(e,d,a),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,axiom,
    ( between(X1,X4,X3)
    | ~ between(X1,X2,X3)
    | ~ between(X2,X4,X3) ),
    b8 ).

cnf(c_0_15,hypothesis,
    between(e,c,a),
    inference(spm,[status(thm)],[c_0_9,c_0_11]) ).

cnf(c_0_16,hypothesis,
    ( between(X1,d,a)
    | between(d,X1,a)
    | ~ between(e,X1,a) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,hypothesis,
    ( between(X1,c,a)
    | ~ between(X1,e,a) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,axiom,
    between(X1,X1,X2),
    t2 ).

cnf(c_0_19,hypothesis,
    between(c,b,d),
    b_between_c_and_d ).

cnf(c_0_20,hypothesis,
    ( between(d,c,a)
    | between(c,d,a) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).

cnf(c_0_21,hypothesis,
    between(d,b,c),
    inference(spm,[status(thm)],[c_0_9,c_0_19]) ).

cnf(c_0_22,hypothesis,
    ( between(c,d,a)
    | between(a,c,d) ),
    inference(spm,[status(thm)],[c_0_9,c_0_20]) ).

cnf(c_0_23,hypothesis,
    ( between(X1,b,c)
    | ~ between(X1,d,c) ),
    inference(spm,[status(thm)],[c_0_14,c_0_21]) ).

cnf(c_0_24,hypothesis,
    ( between(a,c,d)
    | between(a,d,c) ),
    inference(spm,[status(thm)],[c_0_9,c_0_22]) ).

cnf(c_0_25,axiom,
    ( between(X1,X2,X4)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X3,X4) ),
    b9 ).

cnf(c_0_26,hypothesis,
    ( between(X1,b,d)
    | ~ between(X1,c,d) ),
    inference(spm,[status(thm)],[c_0_14,c_0_19]) ).

cnf(c_0_27,hypothesis,
    ( between(a,c,d)
    | between(a,b,c) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_28,hypothesis,
    ( between(a,X1,e)
    | ~ between(a,X1,d) ),
    inference(spm,[status(thm)],[c_0_25,c_0_10]) ).

cnf(c_0_29,hypothesis,
    ( between(a,b,c)
    | between(a,b,d) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_30,negated_conjecture,
    ~ between(a,b,e),
    prove_betweenness ).

cnf(c_0_31,hypothesis,
    ( between(a,X1,e)
    | ~ between(a,X1,c) ),
    inference(spm,[status(thm)],[c_0_25,c_0_11]) ).

cnf(c_0_32,hypothesis,
    between(a,b,c),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).

cnf(c_0_33,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_30]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GEO008-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.04/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 21:21:08 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.52/0.59  start to proof: theBenchmark
% 0.56/0.68  % Version  : CSE_E---1.5
% 0.56/0.68  % Problem  : theBenchmark.p
% 0.56/0.68  % Proof found
% 0.56/0.68  % SZS status Theorem for theBenchmark.p
% 0.56/0.68  % SZS output start Proof
% See solution above
% 0.56/0.68  % Total time : 0.083000 s
% 0.56/0.68  % SZS output end Proof
% 0.56/0.68  % Total time : 0.087000 s
%------------------------------------------------------------------------------