TSTP Solution File: CSR017+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : CSR017+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n025.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 18:53:19 EDT 2023

% Result   : Theorem 0.23s 0.67s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   52
% Syntax   : Number of formulae    :   95 (  20 unt;  39 typ;   0 def)
%            Number of atoms       :  419 ( 207 equ)
%            Maximal formula atoms :  149 (   7 avg)
%            Number of connectives :  498 ( 135   ~; 250   |; 100   &)
%                                         (  11 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   37 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   64 (  24   >;  40   *;   0   +;   0  <<)
%            Number of predicates  :   17 (  15 usr;   1 prp; 0-4 aty)
%            Number of functors    :   24 (  24 usr;  15 con; 0-3 aty)
%            Number of variables   :   82 (   0 sgn;  52   !;   0   ?;   0   :)

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

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

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

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

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

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

tff(decl_28,type,
    n0: $i ).

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

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

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

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

tff(decl_33,type,
    n1: $i ).

tff(decl_34,type,
    releasedAt: ( $i * $i ) > $o ).

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

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

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

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

tff(decl_39,type,
    backwards: $i ).

tff(decl_40,type,
    spinning: $i ).

tff(decl_41,type,
    n2: $i ).

tff(decl_42,type,
    n3: $i ).

tff(decl_43,type,
    n4: $i ).

tff(decl_44,type,
    n5: $i ).

tff(decl_45,type,
    n6: $i ).

tff(decl_46,type,
    less_or_equal: ( $i * $i ) > $o ).

tff(decl_47,type,
    n7: $i ).

tff(decl_48,type,
    n8: $i ).

tff(decl_49,type,
    n9: $i ).

tff(decl_50,type,
    epred1_3: ( $i * $i * $i ) > $o ).

tff(decl_51,type,
    epred2_3: ( $i * $i * $i ) > $o ).

tff(decl_52,type,
    epred3_3: ( $i * $i * $i ) > $o ).

tff(decl_53,type,
    esk1_3: ( $i * $i * $i ) > $i ).

tff(decl_54,type,
    esk2_3: ( $i * $i * $i ) > $i ).

tff(decl_55,type,
    esk3_3: ( $i * $i * $i ) > $i ).

tff(decl_56,type,
    esk4_3: ( $i * $i * $i ) > $i ).

tff(decl_57,type,
    esk5_2: ( $i * $i ) > $i ).

tff(decl_58,type,
    esk6_2: ( $i * $i ) > $i ).

tff(decl_59,type,
    esk7_2: ( $i * $i ) > $i ).

tff(decl_60,type,
    esk8_2: ( $i * $i ) > $i ).

fof(terminates_all_defn,axiom,
    ! [X4,X2,X5] :
      ( terminates(X4,X2,X5)
    <=> ( ( X4 = push
          & X2 = backwards
          & ~ happens(pull,X5) )
        | ( X4 = pull
          & X2 = forwards
          & ~ happens(push,X5) )
        | ( X4 = pull
          & X2 = forwards
          & happens(push,X5) )
        | ( X4 = pull
          & X2 = backwards
          & happens(push,X5) )
        | ( X4 = push
          & X2 = spinning
          & ~ happens(pull,X5) )
        | ( X4 = pull
          & X2 = spinning
          & ~ happens(push,X5) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+2.ax',terminates_all_defn) ).

fof(happens_terminates_not_holds,axiom,
    ! [X4,X5,X2] :
      ( ( happens(X4,X5)
        & terminates(X4,X2,X5) )
     => ~ holdsAt(X2,plus(X5,n1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_terminates_not_holds) ).

fof(happens_all_defn,axiom,
    ! [X4,X5] :
      ( happens(X4,X5)
    <=> ( ( X4 = push
          & X5 = n0 )
        | ( X4 = pull
          & X5 = n1 )
        | ( X4 = pull
          & X5 = n2 )
        | ( X4 = push
          & X5 = n2 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+2.ax',happens_all_defn) ).

fof(symmetry_of_plus,axiom,
    ! [X9,X10] : plus(X9,X10) = plus(X10,X9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).

fof(less_or_equal,axiom,
    ! [X9,X10] :
      ( less_or_equal(X9,X10)
    <=> ( less(X9,X10)
        | X9 = X10 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).

fof(plus0_1,axiom,
    plus(n0,n1) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).

fof(not_spinning_1,conjecture,
    ~ holdsAt(spinning,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_spinning_1) ).

fof(less_property,axiom,
    ! [X9,X10] :
      ( less(X9,X10)
    <=> ( ~ less(X10,X9)
        & X10 != X9 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).

fof(less2,axiom,
    ! [X9] :
      ( less(X9,n2)
    <=> less_or_equal(X9,n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).

fof(less1,axiom,
    ! [X9] :
      ( less(X9,n1)
    <=> less_or_equal(X9,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).

fof(push_not_pull,axiom,
    push != pull,
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+2.ax',push_not_pull) ).

fof(c_0_11,plain,
    ! [X2,X4,X5] :
      ( epred3_3(X5,X4,X2)
    <=> ( ( X4 = push
          & X2 = backwards
          & ~ happens(pull,X5) )
        | ( X4 = pull
          & X2 = forwards
          & ~ happens(push,X5) )
        | ( X4 = pull
          & X2 = forwards
          & happens(push,X5) )
        | ( X4 = pull
          & X2 = backwards
          & happens(push,X5) )
        | ( X4 = push
          & X2 = spinning
          & ~ happens(pull,X5) )
        | ( X4 = pull
          & X2 = spinning
          & ~ happens(push,X5) ) ) ),
    introduced(definition) ).

fof(c_0_12,plain,
    ! [X2,X4,X5] :
      ( epred2_3(X5,X4,X2)
    <=> ( ( X4 = push
          & X2 = backwards
          & ~ happens(pull,X5) )
        | ( X4 = pull
          & X2 = forwards
          & ~ happens(push,X5) )
        | ( X4 = pull
          & X2 = forwards
          & happens(push,X5) ) ) ),
    introduced(definition) ).

fof(c_0_13,plain,
    ! [X2,X4,X5] :
      ( epred3_3(X5,X4,X2)
    <=> ( epred2_3(X5,X4,X2)
        | ( X4 = pull
          & X2 = backwards
          & happens(push,X5) )
        | ( X4 = push
          & X2 = spinning
          & ~ happens(pull,X5) )
        | ( X4 = pull
          & X2 = spinning
          & ~ happens(push,X5) ) ) ),
    inference(apply_def,[status(thm)],[c_0_11,c_0_12]) ).

fof(c_0_14,plain,
    ! [X4,X2,X5] :
      ( terminates(X4,X2,X5)
    <=> epred3_3(X5,X4,X2) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[terminates_all_defn]),c_0_11]) ).

fof(c_0_15,plain,
    ! [X100,X101,X102] :
      ( ( X101 = pull
        | X101 = push
        | X101 = pull
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( X100 = spinning
        | X101 = push
        | X101 = pull
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( ~ happens(push,X102)
        | X101 = push
        | X101 = pull
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( X101 = pull
        | X100 = spinning
        | X101 = pull
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( X100 = spinning
        | X100 = spinning
        | X101 = pull
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( ~ happens(push,X102)
        | X100 = spinning
        | X101 = pull
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( X101 = pull
        | ~ happens(pull,X102)
        | X101 = pull
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( X100 = spinning
        | ~ happens(pull,X102)
        | X101 = pull
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( ~ happens(push,X102)
        | ~ happens(pull,X102)
        | X101 = pull
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( X101 = pull
        | X101 = push
        | X100 = backwards
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( X100 = spinning
        | X101 = push
        | X100 = backwards
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( ~ happens(push,X102)
        | X101 = push
        | X100 = backwards
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( X101 = pull
        | X100 = spinning
        | X100 = backwards
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( X100 = spinning
        | X100 = spinning
        | X100 = backwards
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( ~ happens(push,X102)
        | X100 = spinning
        | X100 = backwards
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( X101 = pull
        | ~ happens(pull,X102)
        | X100 = backwards
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( X100 = spinning
        | ~ happens(pull,X102)
        | X100 = backwards
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( ~ happens(push,X102)
        | ~ happens(pull,X102)
        | X100 = backwards
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( X101 = pull
        | X101 = push
        | happens(push,X102)
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( X100 = spinning
        | X101 = push
        | happens(push,X102)
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( ~ happens(push,X102)
        | X101 = push
        | happens(push,X102)
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( X101 = pull
        | X100 = spinning
        | happens(push,X102)
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( X100 = spinning
        | X100 = spinning
        | happens(push,X102)
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( ~ happens(push,X102)
        | X100 = spinning
        | happens(push,X102)
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( X101 = pull
        | ~ happens(pull,X102)
        | happens(push,X102)
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( X100 = spinning
        | ~ happens(pull,X102)
        | happens(push,X102)
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( ~ happens(push,X102)
        | ~ happens(pull,X102)
        | happens(push,X102)
        | epred2_3(X102,X101,X100)
        | ~ epred3_3(X102,X101,X100) )
      & ( ~ epred2_3(X102,X101,X100)
        | epred3_3(X102,X101,X100) )
      & ( X101 != pull
        | X100 != backwards
        | ~ happens(push,X102)
        | epred3_3(X102,X101,X100) )
      & ( X101 != push
        | X100 != spinning
        | happens(pull,X102)
        | epred3_3(X102,X101,X100) )
      & ( X101 != pull
        | X100 != spinning
        | happens(push,X102)
        | epred3_3(X102,X101,X100) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).

fof(c_0_16,plain,
    ! [X4,X5,X2] :
      ( ( happens(X4,X5)
        & terminates(X4,X2,X5) )
     => ~ holdsAt(X2,plus(X5,n1)) ),
    inference(fof_simplification,[status(thm)],[happens_terminates_not_holds]) ).

fof(c_0_17,plain,
    ! [X68,X69,X70] :
      ( ( ~ terminates(X68,X69,X70)
        | epred3_3(X70,X68,X69) )
      & ( ~ epred3_3(X70,X68,X69)
        | terminates(X68,X69,X70) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).

cnf(c_0_18,plain,
    ( happens(pull,X3)
    | epred3_3(X3,X1,X2)
    | X1 != push
    | X2 != spinning ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_19,plain,
    ! [X56,X57,X58] :
      ( ~ happens(X56,X57)
      | ~ terminates(X56,X58,X57)
      | ~ holdsAt(X58,plus(X57,n1)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])]) ).

cnf(c_0_20,plain,
    ( terminates(X2,X3,X1)
    | ~ epred3_3(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_21,plain,
    ( epred3_3(X1,push,spinning)
    | happens(pull,X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_18])]) ).

fof(c_0_22,plain,
    ! [X74,X75] :
      ( ( X74 = push
        | X74 = pull
        | X74 = pull
        | X74 = push
        | ~ happens(X74,X75) )
      & ( X75 = n2
        | X74 = pull
        | X74 = pull
        | X74 = push
        | ~ happens(X74,X75) )
      & ( X74 = push
        | X75 = n2
        | X74 = pull
        | X74 = push
        | ~ happens(X74,X75) )
      & ( X75 = n2
        | X75 = n2
        | X74 = pull
        | X74 = push
        | ~ happens(X74,X75) )
      & ( X74 = push
        | X74 = pull
        | X75 = n1
        | X74 = push
        | ~ happens(X74,X75) )
      & ( X75 = n2
        | X74 = pull
        | X75 = n1
        | X74 = push
        | ~ happens(X74,X75) )
      & ( X74 = push
        | X75 = n2
        | X75 = n1
        | X74 = push
        | ~ happens(X74,X75) )
      & ( X75 = n2
        | X75 = n2
        | X75 = n1
        | X74 = push
        | ~ happens(X74,X75) )
      & ( X74 = push
        | X74 = pull
        | X74 = pull
        | X75 = n0
        | ~ happens(X74,X75) )
      & ( X75 = n2
        | X74 = pull
        | X74 = pull
        | X75 = n0
        | ~ happens(X74,X75) )
      & ( X74 = push
        | X75 = n2
        | X74 = pull
        | X75 = n0
        | ~ happens(X74,X75) )
      & ( X75 = n2
        | X75 = n2
        | X74 = pull
        | X75 = n0
        | ~ happens(X74,X75) )
      & ( X74 = push
        | X74 = pull
        | X75 = n1
        | X75 = n0
        | ~ happens(X74,X75) )
      & ( X75 = n2
        | X74 = pull
        | X75 = n1
        | X75 = n0
        | ~ happens(X74,X75) )
      & ( X74 = push
        | X75 = n2
        | X75 = n1
        | X75 = n0
        | ~ happens(X74,X75) )
      & ( X75 = n2
        | X75 = n2
        | X75 = n1
        | X75 = n0
        | ~ happens(X74,X75) )
      & ( X74 != push
        | X75 != n0
        | happens(X74,X75) )
      & ( X74 != pull
        | X75 != n1
        | happens(X74,X75) )
      & ( X74 != pull
        | X75 != n2
        | happens(X74,X75) )
      & ( X74 != push
        | X75 != n2
        | happens(X74,X75) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_all_defn])])]) ).

fof(c_0_23,plain,
    ! [X76,X77] : plus(X76,X77) = plus(X77,X76),
    inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).

fof(c_0_24,plain,
    ! [X78,X79] :
      ( ( ~ less_or_equal(X78,X79)
        | less(X78,X79)
        | X78 = X79 )
      & ( ~ less(X78,X79)
        | less_or_equal(X78,X79) )
      & ( X78 != X79
        | less_or_equal(X78,X79) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_or_equal])])]) ).

cnf(c_0_25,plain,
    ( ~ happens(X1,X2)
    | ~ terminates(X1,X3,X2)
    | ~ holdsAt(X3,plus(X2,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_26,plain,
    ( terminates(push,spinning,X1)
    | happens(pull,X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_27,plain,
    ( happens(X1,X2)
    | X1 != push
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_28,plain,
    plus(n0,n1) = n1,
    inference(split_conjunct,[status(thm)],[plus0_1]) ).

cnf(c_0_29,plain,
    plus(X1,X2) = plus(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_30,negated_conjecture,
    holdsAt(spinning,n1),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[not_spinning_1])]) ).

fof(c_0_31,plain,
    ! [X9,X10] :
      ( less(X9,X10)
    <=> ( ~ less(X10,X9)
        & X10 != X9 ) ),
    inference(fof_simplification,[status(thm)],[less_property]) ).

fof(c_0_32,plain,
    ! [X82] :
      ( ( ~ less(X82,n2)
        | less_or_equal(X82,n1) )
      & ( ~ less_or_equal(X82,n1)
        | less(X82,n2) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less2])]) ).

cnf(c_0_33,plain,
    ( less_or_equal(X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_34,plain,
    ! [X81] :
      ( ( ~ less(X81,n1)
        | less_or_equal(X81,n0) )
      & ( ~ less_or_equal(X81,n0)
        | less(X81,n1) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less1])]) ).

cnf(c_0_35,plain,
    ( X1 = push
    | X2 = n2
    | X2 = n1
    | X1 = push
    | ~ happens(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_36,plain,
    ( happens(pull,X1)
    | ~ holdsAt(spinning,plus(X1,n1))
    | ~ happens(push,X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_37,plain,
    happens(push,n0),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_27])]) ).

cnf(c_0_38,plain,
    plus(n1,n0) = n1,
    inference(rw,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_39,negated_conjecture,
    holdsAt(spinning,n1),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

fof(c_0_40,plain,
    ! [X90,X91] :
      ( ( ~ less(X91,X90)
        | ~ less(X90,X91) )
      & ( X91 != X90
        | ~ less(X90,X91) )
      & ( less(X91,X90)
        | X91 = X90
        | less(X90,X91) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).

cnf(c_0_41,plain,
    ( less(X1,n2)
    | ~ less_or_equal(X1,n1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_42,plain,
    less_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_33]) ).

cnf(c_0_43,plain,
    ( less(X1,n1)
    | ~ less_or_equal(X1,n0) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_44,plain,
    ( X2 = n1
    | X2 = n2
    | X1 = push
    | ~ happens(X1,X2) ),
    inference(cn,[status(thm)],[c_0_35]) ).

cnf(c_0_45,plain,
    happens(pull,n0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_29]),c_0_38]),c_0_39])]) ).

cnf(c_0_46,plain,
    push != pull,
    inference(split_conjunct,[status(thm)],[push_not_pull]) ).

cnf(c_0_47,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_48,plain,
    less(n1,n2),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_49,plain,
    less(n0,n1),
    inference(spm,[status(thm)],[c_0_43,c_0_42]) ).

cnf(c_0_50,plain,
    ( n0 = n2
    | n0 = n1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).

cnf(c_0_51,plain,
    ~ less(n2,n1),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_52,plain,
    ( X1 != X2
    | ~ less(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_53,plain,
    n0 = n1,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).

cnf(c_0_54,plain,
    ~ less(X1,X1),
    inference(er,[status(thm)],[c_0_52]) ).

cnf(c_0_55,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_53]),c_0_54]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem    : CSR017+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.00/0.16  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.16/0.38  % Computer : n025.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Mon Aug 28 08:41:54 EDT 2023
% 0.16/0.38  % CPUTime  : 
% 0.23/0.62  start to proof: theBenchmark
% 0.23/0.67  % Version  : CSE_E---1.5
% 0.23/0.67  % Problem  : theBenchmark.p
% 0.23/0.67  % Proof found
% 0.23/0.67  % SZS status Theorem for theBenchmark.p
% 0.23/0.67  % SZS output start Proof
% See solution above
% 0.23/0.68  % Total time : 0.033000 s
% 0.23/0.68  % SZS output end Proof
% 0.23/0.68  % Total time : 0.037000 s
%------------------------------------------------------------------------------