TSTP Solution File: MGT006-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : MGT006-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n002.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 : Thu Aug 31 09:07:14 EDT 2023

% Result   : Unsatisfiable 0.20s 0.60s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   59 (  19 unt;  14 typ;   0 def)
%            Number of atoms       :  160 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  233 ( 118   ~; 115   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (   7   >;  11   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :  117 (  22 sgn;   0   !;   0   ?;   0   :)

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

tff(decl_23,type,
    sk1: ( $i * $i ) > $i ).

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

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

tff(decl_26,type,
    accountability: ( $i * $i * $i ) > $o ).

tff(decl_27,type,
    greater: ( $i * $i ) > $o ).

tff(decl_28,type,
    reorganization_free: ( $i * $i * $i ) > $o ).

tff(decl_29,type,
    sk2: $i ).

tff(decl_30,type,
    sk7: $i ).

tff(decl_31,type,
    sk8: $i ).

tff(decl_32,type,
    sk3: $i ).

tff(decl_33,type,
    sk4: $i ).

tff(decl_34,type,
    sk5: $i ).

tff(decl_35,type,
    sk6: $i ).

cnf(a2_FOL_3,hypothesis,
    ( greater(X8,X7)
    | ~ organization(X1,X2)
    | ~ organization(X3,X4)
    | ~ reliability(X1,X5,X2)
    | ~ reliability(X3,X6,X4)
    | ~ accountability(X1,X7,X2)
    | ~ accountability(X3,X8,X4)
    | ~ reproducibility(X1,X9,X2)
    | ~ reproducibility(X3,X10,X4)
    | ~ greater(X10,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_FOL_3) ).

cnf(t6_FOL_12,negated_conjecture,
    accountability(sk2,sk6,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_FOL_12) ).

cnf(t6_FOL_7,negated_conjecture,
    organization(sk2,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_FOL_7) ).

cnf(t6_FOL_10,negated_conjecture,
    reliability(sk2,sk4,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_FOL_10) ).

cnf(a4_FOL_5,hypothesis,
    ( greater(X5,X4)
    | ~ organization(X1,X2)
    | ~ organization(X1,X3)
    | ~ reorganization_free(X1,X2,X3)
    | ~ reproducibility(X1,X4,X2)
    | ~ reproducibility(X1,X5,X3)
    | ~ greater(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4_FOL_5) ).

cnf(t6_FOL_8,negated_conjecture,
    reorganization_free(sk2,sk7,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_FOL_8) ).

cnf(t6_FOL_13,negated_conjecture,
    greater(sk8,sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_FOL_13) ).

cnf(t6_FOL_6,negated_conjecture,
    organization(sk2,sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_FOL_6) ).

cnf(a2_FOL_2,hypothesis,
    ( greater(X6,X5)
    | ~ organization(X1,X2)
    | ~ organization(X3,X4)
    | ~ reliability(X1,X5,X2)
    | ~ reliability(X3,X6,X4)
    | ~ accountability(X1,X7,X2)
    | ~ accountability(X3,X8,X4)
    | ~ reproducibility(X1,X9,X2)
    | ~ reproducibility(X3,X10,X4)
    | ~ greater(X10,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_FOL_2) ).

cnf(mp3_1,axiom,
    ( reproducibility(X1,sk1(X2,X1),X2)
    | ~ organization(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_1) ).

cnf(t6_FOL_11,negated_conjecture,
    accountability(sk2,sk5,sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_FOL_11) ).

cnf(t6_FOL_9,negated_conjecture,
    reliability(sk2,sk3,sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_FOL_9) ).

cnf(t6_FOL_14,negated_conjecture,
    ( ~ greater(sk4,sk3)
    | ~ greater(sk6,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_FOL_14) ).

cnf(c_0_13,hypothesis,
    ( greater(X8,X7)
    | ~ organization(X1,X2)
    | ~ organization(X3,X4)
    | ~ reliability(X1,X5,X2)
    | ~ reliability(X3,X6,X4)
    | ~ accountability(X1,X7,X2)
    | ~ accountability(X3,X8,X4)
    | ~ reproducibility(X1,X9,X2)
    | ~ reproducibility(X3,X10,X4)
    | ~ greater(X10,X9) ),
    a2_FOL_3 ).

cnf(c_0_14,negated_conjecture,
    accountability(sk2,sk6,sk8),
    t6_FOL_12 ).

cnf(c_0_15,negated_conjecture,
    organization(sk2,sk8),
    t6_FOL_7 ).

cnf(c_0_16,negated_conjecture,
    ( greater(sk6,X1)
    | ~ greater(X2,X3)
    | ~ accountability(X4,X1,X5)
    | ~ reliability(sk2,X6,sk8)
    | ~ reliability(X4,X7,X5)
    | ~ reproducibility(sk2,X2,sk8)
    | ~ reproducibility(X4,X3,X5)
    | ~ organization(X4,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).

cnf(c_0_17,negated_conjecture,
    reliability(sk2,sk4,sk8),
    t6_FOL_10 ).

cnf(c_0_18,hypothesis,
    ( greater(X5,X4)
    | ~ organization(X1,X2)
    | ~ organization(X1,X3)
    | ~ reorganization_free(X1,X2,X3)
    | ~ reproducibility(X1,X4,X2)
    | ~ reproducibility(X1,X5,X3)
    | ~ greater(X3,X2) ),
    a4_FOL_5 ).

cnf(c_0_19,negated_conjecture,
    reorganization_free(sk2,sk7,sk8),
    t6_FOL_8 ).

cnf(c_0_20,negated_conjecture,
    greater(sk8,sk7),
    t6_FOL_13 ).

cnf(c_0_21,negated_conjecture,
    organization(sk2,sk7),
    t6_FOL_6 ).

cnf(c_0_22,hypothesis,
    ( greater(X6,X5)
    | ~ organization(X1,X2)
    | ~ organization(X3,X4)
    | ~ reliability(X1,X5,X2)
    | ~ reliability(X3,X6,X4)
    | ~ accountability(X1,X7,X2)
    | ~ accountability(X3,X8,X4)
    | ~ reproducibility(X1,X9,X2)
    | ~ reproducibility(X3,X10,X4)
    | ~ greater(X10,X9) ),
    a2_FOL_2 ).

cnf(c_0_23,negated_conjecture,
    ( greater(sk6,X1)
    | ~ greater(X2,X3)
    | ~ accountability(X4,X1,X5)
    | ~ reliability(X4,X6,X5)
    | ~ reproducibility(sk2,X2,sk8)
    | ~ reproducibility(X4,X3,X5)
    | ~ organization(X4,X5) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_24,axiom,
    ( reproducibility(X1,sk1(X2,X1),X2)
    | ~ organization(X1,X2) ),
    mp3_1 ).

cnf(c_0_25,negated_conjecture,
    ( greater(X1,X2)
    | ~ reproducibility(sk2,X1,sk8)
    | ~ reproducibility(sk2,X2,sk7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_15]),c_0_21])]) ).

cnf(c_0_26,negated_conjecture,
    ( greater(X1,X2)
    | ~ greater(X3,X4)
    | ~ accountability(X5,X6,X7)
    | ~ reliability(sk2,X1,sk8)
    | ~ reliability(X5,X2,X7)
    | ~ reproducibility(sk2,X3,sk8)
    | ~ reproducibility(X5,X4,X7)
    | ~ organization(X5,X7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_14]),c_0_15])]) ).

cnf(c_0_27,negated_conjecture,
    ( greater(sk6,X1)
    | ~ greater(sk1(sk8,sk2),X2)
    | ~ accountability(X3,X1,X4)
    | ~ reliability(X3,X5,X4)
    | ~ reproducibility(X3,X2,X4)
    | ~ organization(X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_15])]) ).

cnf(c_0_28,negated_conjecture,
    ( greater(sk1(sk8,sk2),X1)
    | ~ reproducibility(sk2,X1,sk7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_24]),c_0_15])]) ).

cnf(c_0_29,negated_conjecture,
    ( greater(sk4,X1)
    | ~ greater(X2,X3)
    | ~ accountability(X4,X5,X6)
    | ~ reliability(X4,X1,X6)
    | ~ reproducibility(sk2,X2,sk8)
    | ~ reproducibility(X4,X3,X6)
    | ~ organization(X4,X6) ),
    inference(spm,[status(thm)],[c_0_26,c_0_17]) ).

cnf(c_0_30,negated_conjecture,
    ( greater(sk6,X1)
    | ~ accountability(X2,X1,X3)
    | ~ reliability(X2,X4,X3)
    | ~ reproducibility(sk2,X5,sk7)
    | ~ reproducibility(X2,X5,X3)
    | ~ organization(X2,X3) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_31,negated_conjecture,
    ( greater(sk4,X1)
    | ~ greater(sk1(sk8,sk2),X2)
    | ~ accountability(X3,X4,X5)
    | ~ reliability(X3,X1,X5)
    | ~ reproducibility(X3,X2,X5)
    | ~ organization(X3,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_24]),c_0_15])]) ).

cnf(c_0_32,negated_conjecture,
    ( greater(sk6,X1)
    | ~ accountability(X2,X1,X3)
    | ~ reliability(X2,X4,X3)
    | ~ reproducibility(X2,sk1(sk7,sk2),X3)
    | ~ organization(X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_24]),c_0_21])]) ).

cnf(c_0_33,negated_conjecture,
    ( greater(sk4,X1)
    | ~ accountability(X2,X3,X4)
    | ~ reliability(X2,X1,X4)
    | ~ reproducibility(sk2,X5,sk7)
    | ~ reproducibility(X2,X5,X4)
    | ~ organization(X2,X4) ),
    inference(spm,[status(thm)],[c_0_31,c_0_28]) ).

cnf(c_0_34,negated_conjecture,
    ( greater(sk6,X1)
    | ~ accountability(sk2,X1,sk7)
    | ~ reliability(sk2,X2,sk7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_24]),c_0_21])]) ).

cnf(c_0_35,negated_conjecture,
    accountability(sk2,sk5,sk7),
    t6_FOL_11 ).

cnf(c_0_36,negated_conjecture,
    ( greater(sk4,X1)
    | ~ accountability(X2,X3,X4)
    | ~ reliability(X2,X1,X4)
    | ~ reproducibility(X2,sk1(sk7,sk2),X4)
    | ~ organization(X2,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_24]),c_0_21])]) ).

cnf(c_0_37,negated_conjecture,
    ( greater(sk6,sk5)
    | ~ reliability(sk2,X1,sk7) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,negated_conjecture,
    reliability(sk2,sk3,sk7),
    t6_FOL_9 ).

cnf(c_0_39,negated_conjecture,
    ( greater(sk4,X1)
    | ~ accountability(sk2,X2,sk7)
    | ~ reliability(sk2,X1,sk7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_24]),c_0_21])]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ greater(sk4,sk3)
    | ~ greater(sk6,sk5) ),
    t6_FOL_14 ).

cnf(c_0_41,negated_conjecture,
    greater(sk6,sk5),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_42,negated_conjecture,
    ( greater(sk4,X1)
    | ~ reliability(sk2,X1,sk7) ),
    inference(spm,[status(thm)],[c_0_39,c_0_35]) ).

cnf(c_0_43,negated_conjecture,
    ~ greater(sk4,sk3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]) ).

cnf(c_0_44,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_38]),c_0_43]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : MGT006-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n002.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   : Mon Aug 28 06:28:49 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.59  start to proof: theBenchmark
% 0.20/0.60  % Version  : CSE_E---1.5
% 0.20/0.60  % Problem  : theBenchmark.p
% 0.20/0.60  % Proof found
% 0.20/0.60  % SZS status Theorem for theBenchmark.p
% 0.20/0.60  % SZS output start Proof
% See solution above
% 0.20/0.61  % Total time : 0.007000 s
% 0.20/0.61  % SZS output end Proof
% 0.20/0.61  % Total time : 0.010000 s
%------------------------------------------------------------------------------