TSTP Solution File: PUZ131-10 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : PUZ131-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n020.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 13:12:42 EDT 2023

% Result   : Unsatisfiable 0.23s 0.59s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   40 (  21 unt;  19 typ;   0 def)
%            Number of atoms       :   21 (  20 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   18 (  12   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   7 con; 0-4 aty)
%            Number of variables   :   16 (   2 sgn;   0   !;   0   ?;   0   :)

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

tff(decl_23,type,
    sK7_student_type_A: $i ).

tff(decl_24,type,
    student: $i > $i ).

tff(decl_25,type,
    true: $i ).

tff(decl_26,type,
    sK6_professor_type_A: $i ).

tff(decl_27,type,
    professor: $i > $i ).

tff(decl_28,type,
    sK5_course_type_A: $i ).

tff(decl_29,type,
    course: $i > $i ).

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

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

tff(decl_32,type,
    csc410: $i ).

tff(decl_33,type,
    coordinatorof: $i > $i ).

tff(decl_34,type,
    sK4_student_enrolled_axiom_Y: $i > $i ).

tff(decl_35,type,
    enrolled: ( $i * $i ) > $i ).

tff(decl_36,type,
    sK3_professor_teaches_Y: $i > $i ).

tff(decl_37,type,
    teaches: ( $i * $i ) > $i ).

tff(decl_38,type,
    sK2_course_enrolled_Y: $i > $i ).

tff(decl_39,type,
    sK1_course_teaches_Y: $i > $i ).

tff(decl_40,type,
    taughtby: ( $i * $i ) > $i ).

cnf(student_enrolled_taught,axiom,
    ifeq(teaches(X1,X2),true,ifeq(enrolled(X3,X2),true,ifeq(course(X2),true,ifeq(professor(X1),true,ifeq(student(X3),true,taughtby(X3,X1),true),true),true),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_enrolled_taught) ).

cnf(michael_type,axiom,
    student(michael) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_type) ).

cnf(ifeq_axiom,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).

cnf(coordinator_teaches,axiom,
    ifeq(course(X1),true,teaches(coordinatorof(X1),X1),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coordinator_teaches) ).

cnf(victor_coordinator_csc410_axiom,axiom,
    coordinatorof(csc410) = victor,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victor_coordinator_csc410_axiom) ).

cnf(csc410_type,axiom,
    course(csc410) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',csc410_type) ).

cnf(michael_enrolled_csc410_axiom,axiom,
    enrolled(michael,csc410) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_enrolled_csc410_axiom) ).

cnf(victor_type,axiom,
    professor(victor) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victor_type) ).

cnf(teaching_conjecture,negated_conjecture,
    taughtby(michael,victor) != true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',teaching_conjecture) ).

cnf(c_0_9,axiom,
    ifeq(teaches(X1,X2),true,ifeq(enrolled(X3,X2),true,ifeq(course(X2),true,ifeq(professor(X1),true,ifeq(student(X3),true,taughtby(X3,X1),true),true),true),true),true) = true,
    student_enrolled_taught ).

cnf(c_0_10,axiom,
    student(michael) = true,
    michael_type ).

cnf(c_0_11,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    ifeq_axiom ).

cnf(c_0_12,axiom,
    ifeq(course(X1),true,teaches(coordinatorof(X1),X1),true) = true,
    coordinator_teaches ).

cnf(c_0_13,axiom,
    coordinatorof(csc410) = victor,
    victor_coordinator_csc410_axiom ).

cnf(c_0_14,axiom,
    course(csc410) = true,
    csc410_type ).

cnf(c_0_15,plain,
    ifeq(teaches(X1,X2),true,ifeq(enrolled(michael,X2),true,ifeq(course(X2),true,ifeq(professor(X1),true,taughtby(michael,X1),true),true),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).

cnf(c_0_16,plain,
    teaches(victor,csc410) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_11]) ).

cnf(c_0_17,axiom,
    enrolled(michael,csc410) = true,
    michael_enrolled_csc410_axiom ).

cnf(c_0_18,axiom,
    professor(victor) = true,
    victor_type ).

cnf(c_0_19,negated_conjecture,
    taughtby(michael,victor) != true,
    teaching_conjecture ).

cnf(c_0_20,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_14]),c_0_18]),c_0_11]),c_0_11]),c_0_11]),c_0_11]),c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : PUZ131-10 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.15  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.16/0.36  % Computer : n020.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Sat Aug 26 22:39:30 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.23/0.57  start to proof: theBenchmark
% 0.23/0.59  % Version  : CSE_E---1.5
% 0.23/0.59  % Problem  : theBenchmark.p
% 0.23/0.59  % Proof found
% 0.23/0.59  % SZS status Theorem for theBenchmark.p
% 0.23/0.59  % SZS output start Proof
% See solution above
% 0.23/0.60  % Total time : 0.015000 s
% 0.23/0.60  % SZS output end Proof
% 0.23/0.60  % Total time : 0.018000 s
%------------------------------------------------------------------------------