TSTP Solution File: CSR015+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : CSR015+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n028.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  : 600s
% DateTime : Fri Jul 15 03:01:24 EDT 2022

% Result   : Theorem 0.22s 1.40s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   59 (  18 unt;   0 def)
%            Number of atoms       :  573 ( 277 equ)
%            Maximal formula atoms :  149 (   9 avg)
%            Number of connectives :  726 ( 212   ~; 366   |; 137   &)
%                                         (   9 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   40 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :  118 (  20 sgn  68   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
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/sandbox2/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/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_terminates_not_holds) ).

fof(plus0_1,axiom,
    plus(n0,n1) = n1,
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',plus0_1) ).

fof(not_backwards_1,conjecture,
    ~ holdsAt(backwards,n1),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',not_backwards_1) ).

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/sandbox2/benchmark/Axioms/CSR001+2.ax',happens_all_defn) ).

fof(keep_not_holding,axiom,
    ! [X2,X5] :
      ( ( ~ holdsAt(X2,X5)
        & ~ releasedAt(X2,plus(X5,n1))
        & ~ ? [X4] :
              ( happens(X4,X5)
              & initiates(X4,X2,X5) ) )
     => ~ holdsAt(X2,plus(X5,n1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',keep_not_holding) ).

fof(not_releasedAt,hypothesis,
    ! [X2,X5] : ~ releasedAt(X2,X5),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',not_releasedAt) ).

fof(initiates_all_defn,axiom,
    ! [X4,X2,X5] :
      ( initiates(X4,X2,X5)
    <=> ( ( X4 = push
          & X2 = forwards
          & ~ happens(pull,X5) )
        | ( X4 = pull
          & X2 = backwards
          & ~ happens(push,X5) )
        | ( X4 = pull
          & X2 = spinning
          & happens(push,X5) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+2.ax',initiates_all_defn) ).

fof(not_backwards_0,hypothesis,
    ~ holdsAt(backwards,n0),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',not_backwards_0) ).

fof(push_not_pull,axiom,
    push != pull,
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+2.ax',push_not_pull) ).

fof(forwards_not_backwards,axiom,
    forwards != backwards,
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+2.ax',forwards_not_backwards) ).

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

fof(c_0_13,plain,
    ! [X6,X7,X8] :
      ( ~ happens(X6,X7)
      | ~ terminates(X6,X8,X7)
      | ~ holdsAt(X8,plus(X7,n1)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[happens_terminates_not_holds])])]) ).

fof(c_0_14,plain,
    ! [X6,X7,X8,X6,X7,X8] :
      ( ( ~ terminates(X6,X7,X8)
        | epred3_3(X8,X6,X7) )
      & ( ~ epred3_3(X8,X6,X7)
        | terminates(X6,X7,X8) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).

fof(c_0_15,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) ).

cnf(c_0_16,plain,
    ( ~ holdsAt(X1,plus(X2,n1))
    | ~ terminates(X3,X1,X2)
    | ~ happens(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,plain,
    ( terminates(X1,X2,X3)
    | ~ epred3_3(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_18,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_15]) ).

cnf(c_0_19,plain,
    ( ~ epred3_3(X1,X2,X3)
    | ~ holdsAt(X3,plus(X1,n1))
    | ~ happens(X2,X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,plain,
    plus(n0,n1) = n1,
    inference(split_conjunct,[status(thm)],[plus0_1]) ).

fof(c_0_21,plain,
    ! [X6,X7,X8,X6,X7,X8] :
      ( ( X7 = pull
        | X7 = push
        | X7 = pull
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( X6 = spinning
        | X7 = push
        | X7 = pull
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( ~ happens(push,X8)
        | X7 = push
        | X7 = pull
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( X7 = pull
        | X6 = spinning
        | X7 = pull
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( X6 = spinning
        | X6 = spinning
        | X7 = pull
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( ~ happens(push,X8)
        | X6 = spinning
        | X7 = pull
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( X7 = pull
        | ~ happens(pull,X8)
        | X7 = pull
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( X6 = spinning
        | ~ happens(pull,X8)
        | X7 = pull
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( ~ happens(push,X8)
        | ~ happens(pull,X8)
        | X7 = pull
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( X7 = pull
        | X7 = push
        | X6 = backwards
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( X6 = spinning
        | X7 = push
        | X6 = backwards
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( ~ happens(push,X8)
        | X7 = push
        | X6 = backwards
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( X7 = pull
        | X6 = spinning
        | X6 = backwards
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( X6 = spinning
        | X6 = spinning
        | X6 = backwards
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( ~ happens(push,X8)
        | X6 = spinning
        | X6 = backwards
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( X7 = pull
        | ~ happens(pull,X8)
        | X6 = backwards
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( X6 = spinning
        | ~ happens(pull,X8)
        | X6 = backwards
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( ~ happens(push,X8)
        | ~ happens(pull,X8)
        | X6 = backwards
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( X7 = pull
        | X7 = push
        | happens(push,X8)
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( X6 = spinning
        | X7 = push
        | happens(push,X8)
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( ~ happens(push,X8)
        | X7 = push
        | happens(push,X8)
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( X7 = pull
        | X6 = spinning
        | happens(push,X8)
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( X6 = spinning
        | X6 = spinning
        | happens(push,X8)
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( ~ happens(push,X8)
        | X6 = spinning
        | happens(push,X8)
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( X7 = pull
        | ~ happens(pull,X8)
        | happens(push,X8)
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( X6 = spinning
        | ~ happens(pull,X8)
        | happens(push,X8)
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( ~ happens(push,X8)
        | ~ happens(pull,X8)
        | happens(push,X8)
        | epred2_3(X8,X7,X6)
        | ~ epred3_3(X8,X7,X6) )
      & ( ~ epred2_3(X8,X7,X6)
        | epred3_3(X8,X7,X6) )
      & ( X7 != pull
        | X6 != backwards
        | ~ happens(push,X8)
        | epred3_3(X8,X7,X6) )
      & ( X7 != push
        | X6 != spinning
        | happens(pull,X8)
        | epred3_3(X8,X7,X6) )
      & ( X7 != pull
        | X6 != spinning
        | happens(push,X8)
        | epred3_3(X8,X7,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_18])])])])])]) ).

fof(c_0_22,negated_conjecture,
    ~ ~ holdsAt(backwards,n1),
    inference(assume_negation,[status(cth)],[not_backwards_1]) ).

cnf(c_0_23,plain,
    ( ~ epred3_3(n0,X1,X2)
    | ~ holdsAt(X2,n1)
    | ~ happens(X1,n0) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,plain,
    ( epred3_3(X1,X2,X3)
    | ~ happens(push,X1)
    | X3 != backwards
    | X2 != pull ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_25,negated_conjecture,
    holdsAt(backwards,n1),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

cnf(c_0_26,plain,
    ( X1 != backwards
    | X2 != pull
    | ~ holdsAt(X1,n1)
    | ~ happens(push,n0)
    | ~ happens(X2,n0) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_27,negated_conjecture,
    holdsAt(backwards,n1),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_28,plain,
    ! [X6,X7,X6,X7] :
      ( ( X6 = push
        | X6 = pull
        | X6 = pull
        | X6 = push
        | ~ happens(X6,X7) )
      & ( X7 = n2
        | X6 = pull
        | X6 = pull
        | X6 = push
        | ~ happens(X6,X7) )
      & ( X6 = push
        | X7 = n2
        | X6 = pull
        | X6 = push
        | ~ happens(X6,X7) )
      & ( X7 = n2
        | X7 = n2
        | X6 = pull
        | X6 = push
        | ~ happens(X6,X7) )
      & ( X6 = push
        | X6 = pull
        | X7 = n1
        | X6 = push
        | ~ happens(X6,X7) )
      & ( X7 = n2
        | X6 = pull
        | X7 = n1
        | X6 = push
        | ~ happens(X6,X7) )
      & ( X6 = push
        | X7 = n2
        | X7 = n1
        | X6 = push
        | ~ happens(X6,X7) )
      & ( X7 = n2
        | X7 = n2
        | X7 = n1
        | X6 = push
        | ~ happens(X6,X7) )
      & ( X6 = push
        | X6 = pull
        | X6 = pull
        | X7 = n0
        | ~ happens(X6,X7) )
      & ( X7 = n2
        | X6 = pull
        | X6 = pull
        | X7 = n0
        | ~ happens(X6,X7) )
      & ( X6 = push
        | X7 = n2
        | X6 = pull
        | X7 = n0
        | ~ happens(X6,X7) )
      & ( X7 = n2
        | X7 = n2
        | X6 = pull
        | X7 = n0
        | ~ happens(X6,X7) )
      & ( X6 = push
        | X6 = pull
        | X7 = n1
        | X7 = n0
        | ~ happens(X6,X7) )
      & ( X7 = n2
        | X6 = pull
        | X7 = n1
        | X7 = n0
        | ~ happens(X6,X7) )
      & ( X6 = push
        | X7 = n2
        | X7 = n1
        | X7 = n0
        | ~ happens(X6,X7) )
      & ( X7 = n2
        | X7 = n2
        | X7 = n1
        | X7 = n0
        | ~ happens(X6,X7) )
      & ( X6 != push
        | X7 != n0
        | happens(X6,X7) )
      & ( X6 != pull
        | X7 != n1
        | happens(X6,X7) )
      & ( X6 != pull
        | X7 != n2
        | happens(X6,X7) )
      & ( X6 != push
        | X7 != n2
        | happens(X6,X7) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_all_defn])])])])]) ).

fof(c_0_29,plain,
    ! [X6,X7] :
      ( ( happens(esk2_2(X6,X7),X7)
        | holdsAt(X6,X7)
        | releasedAt(X6,plus(X7,n1))
        | ~ holdsAt(X6,plus(X7,n1)) )
      & ( initiates(esk2_2(X6,X7),X6,X7)
        | holdsAt(X6,X7)
        | releasedAt(X6,plus(X7,n1))
        | ~ holdsAt(X6,plus(X7,n1)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[keep_not_holding])])])])])])]) ).

fof(c_0_30,hypothesis,
    ! [X6,X7] : ~ releasedAt(X6,X7),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[not_releasedAt])]) ).

cnf(c_0_31,negated_conjecture,
    ( X1 != pull
    | ~ happens(push,n0)
    | ~ happens(X1,n0) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_32,plain,
    ( happens(X1,X2)
    | X2 != n0
    | X1 != push ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_33,plain,
    ( releasedAt(X1,plus(X2,n1))
    | holdsAt(X1,X2)
    | happens(esk2_2(X1,X2),X2)
    | ~ holdsAt(X1,plus(X2,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_34,hypothesis,
    ~ releasedAt(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_35,plain,
    ( X1 = push
    | X1 = pull
    | X1 = pull
    | X1 = push
    | ~ happens(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_36,plain,
    ! [X2,X4,X5] :
      ( epred1_3(X5,X4,X2)
    <=> ( ( X4 = push
          & X2 = forwards
          & ~ happens(pull,X5) )
        | ( X4 = pull
          & X2 = backwards
          & ~ happens(push,X5) )
        | ( X4 = pull
          & X2 = spinning
          & happens(push,X5) ) ) ),
    introduced(definition) ).

cnf(c_0_37,negated_conjecture,
    ( X1 != pull
    | ~ happens(X1,n0) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_38,plain,
    ( holdsAt(X1,X2)
    | happens(esk2_2(X1,X2),X2)
    | ~ holdsAt(X1,plus(X2,n1)) ),
    inference(sr,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_39,plain,
    ( X1 = push
    | X1 = pull
    | ~ happens(X1,X2) ),
    inference(cn,[status(thm)],[c_0_35]) ).

fof(c_0_40,axiom,
    ! [X4,X2,X5] :
      ( initiates(X4,X2,X5)
    <=> epred1_3(X5,X4,X2) ),
    inference(apply_def,[status(thm)],[initiates_all_defn,c_0_36]) ).

cnf(c_0_41,plain,
    ( releasedAt(X1,plus(X2,n1))
    | holdsAt(X1,X2)
    | initiates(esk2_2(X1,X2),X1,X2)
    | ~ holdsAt(X1,plus(X2,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_42,negated_conjecture,
    ( holdsAt(X1,n0)
    | esk2_2(X1,n0) != pull
    | ~ holdsAt(X1,n1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_20]) ).

cnf(c_0_43,plain,
    ( esk2_2(X1,X2) = push
    | esk2_2(X1,X2) = pull
    | holdsAt(X1,X2)
    | ~ holdsAt(X1,plus(X2,n1)) ),
    inference(spm,[status(thm)],[c_0_39,c_0_38]) ).

fof(c_0_44,plain,
    ! [X6,X7,X8,X6,X7,X8] :
      ( ( ~ initiates(X6,X7,X8)
        | epred1_3(X8,X6,X7) )
      & ( ~ epred1_3(X8,X6,X7)
        | initiates(X6,X7,X8) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])]) ).

cnf(c_0_45,plain,
    ( holdsAt(X1,X2)
    | initiates(esk2_2(X1,X2),X1,X2)
    | ~ holdsAt(X1,plus(X2,n1)) ),
    inference(sr,[status(thm)],[c_0_41,c_0_34]) ).

cnf(c_0_46,negated_conjecture,
    ( esk2_2(X1,n0) = push
    | holdsAt(X1,n0)
    | ~ holdsAt(X1,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_20])]) ).

fof(c_0_47,plain,
    ! [X6,X7,X8,X6,X7,X8] :
      ( ( X7 = pull
        | X7 = pull
        | X7 = push
        | ~ epred1_3(X8,X7,X6) )
      & ( X6 = spinning
        | X7 = pull
        | X7 = push
        | ~ epred1_3(X8,X7,X6) )
      & ( happens(push,X8)
        | X7 = pull
        | X7 = push
        | ~ epred1_3(X8,X7,X6) )
      & ( X7 = pull
        | X6 = backwards
        | X7 = push
        | ~ epred1_3(X8,X7,X6) )
      & ( X6 = spinning
        | X6 = backwards
        | X7 = push
        | ~ epred1_3(X8,X7,X6) )
      & ( happens(push,X8)
        | X6 = backwards
        | X7 = push
        | ~ epred1_3(X8,X7,X6) )
      & ( X7 = pull
        | ~ happens(push,X8)
        | X7 = push
        | ~ epred1_3(X8,X7,X6) )
      & ( X6 = spinning
        | ~ happens(push,X8)
        | X7 = push
        | ~ epred1_3(X8,X7,X6) )
      & ( happens(push,X8)
        | ~ happens(push,X8)
        | X7 = push
        | ~ epred1_3(X8,X7,X6) )
      & ( X7 = pull
        | X7 = pull
        | X6 = forwards
        | ~ epred1_3(X8,X7,X6) )
      & ( X6 = spinning
        | X7 = pull
        | X6 = forwards
        | ~ epred1_3(X8,X7,X6) )
      & ( happens(push,X8)
        | X7 = pull
        | X6 = forwards
        | ~ epred1_3(X8,X7,X6) )
      & ( X7 = pull
        | X6 = backwards
        | X6 = forwards
        | ~ epred1_3(X8,X7,X6) )
      & ( X6 = spinning
        | X6 = backwards
        | X6 = forwards
        | ~ epred1_3(X8,X7,X6) )
      & ( happens(push,X8)
        | X6 = backwards
        | X6 = forwards
        | ~ epred1_3(X8,X7,X6) )
      & ( X7 = pull
        | ~ happens(push,X8)
        | X6 = forwards
        | ~ epred1_3(X8,X7,X6) )
      & ( X6 = spinning
        | ~ happens(push,X8)
        | X6 = forwards
        | ~ epred1_3(X8,X7,X6) )
      & ( happens(push,X8)
        | ~ happens(push,X8)
        | X6 = forwards
        | ~ epred1_3(X8,X7,X6) )
      & ( X7 = pull
        | X7 = pull
        | ~ happens(pull,X8)
        | ~ epred1_3(X8,X7,X6) )
      & ( X6 = spinning
        | X7 = pull
        | ~ happens(pull,X8)
        | ~ epred1_3(X8,X7,X6) )
      & ( happens(push,X8)
        | X7 = pull
        | ~ happens(pull,X8)
        | ~ epred1_3(X8,X7,X6) )
      & ( X7 = pull
        | X6 = backwards
        | ~ happens(pull,X8)
        | ~ epred1_3(X8,X7,X6) )
      & ( X6 = spinning
        | X6 = backwards
        | ~ happens(pull,X8)
        | ~ epred1_3(X8,X7,X6) )
      & ( happens(push,X8)
        | X6 = backwards
        | ~ happens(pull,X8)
        | ~ epred1_3(X8,X7,X6) )
      & ( X7 = pull
        | ~ happens(push,X8)
        | ~ happens(pull,X8)
        | ~ epred1_3(X8,X7,X6) )
      & ( X6 = spinning
        | ~ happens(push,X8)
        | ~ happens(pull,X8)
        | ~ epred1_3(X8,X7,X6) )
      & ( happens(push,X8)
        | ~ happens(push,X8)
        | ~ happens(pull,X8)
        | ~ epred1_3(X8,X7,X6) )
      & ( X7 != push
        | X6 != forwards
        | happens(pull,X8)
        | epred1_3(X8,X7,X6) )
      & ( X7 != pull
        | X6 != backwards
        | happens(push,X8)
        | epred1_3(X8,X7,X6) )
      & ( X7 != pull
        | X6 != spinning
        | ~ happens(push,X8)
        | epred1_3(X8,X7,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_36])])])])])]) ).

cnf(c_0_48,plain,
    ( epred1_3(X1,X2,X3)
    | ~ initiates(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_49,negated_conjecture,
    ( holdsAt(X1,n0)
    | initiates(push,X1,n0)
    | ~ holdsAt(X1,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_20])]) ).

fof(c_0_50,hypothesis,
    ~ holdsAt(backwards,n0),
    inference(fof_simplification,[status(thm)],[not_backwards_0]) ).

cnf(c_0_51,plain,
    ( X3 = forwards
    | X2 = pull
    | X2 = pull
    | ~ epred1_3(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_52,negated_conjecture,
    ( epred1_3(n0,push,X1)
    | holdsAt(X1,n0)
    | ~ holdsAt(X1,n1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_53,hypothesis,
    ~ holdsAt(backwards,n0),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_54,plain,
    ( X3 = forwards
    | X2 = pull
    | ~ epred1_3(X1,X2,X3) ),
    inference(cn,[status(thm)],[c_0_51]) ).

cnf(c_0_55,negated_conjecture,
    epred1_3(n0,push,backwards),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_27]),c_0_53]) ).

cnf(c_0_56,plain,
    push != pull,
    inference(split_conjunct,[status(thm)],[push_not_pull]) ).

cnf(c_0_57,plain,
    forwards != backwards,
    inference(split_conjunct,[status(thm)],[forwards_not_backwards]) ).

cnf(c_0_58,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_57]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR015+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.12/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun  9 17:44:03 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.22/1.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40  # Preprocessing time       : 0.020 s
% 0.22/1.40  
% 0.22/1.40  # Proof found!
% 0.22/1.40  # SZS status Theorem
% 0.22/1.40  # SZS output start CNFRefutation
% See solution above
% 0.22/1.40  # Proof object total steps             : 59
% 0.22/1.40  # Proof object clause steps            : 31
% 0.22/1.40  # Proof object formula steps           : 28
% 0.22/1.40  # Proof object conjectures             : 11
% 0.22/1.40  # Proof object clause conjectures      : 8
% 0.22/1.40  # Proof object formula conjectures     : 3
% 0.22/1.40  # Proof object initial clauses used    : 15
% 0.22/1.40  # Proof object initial formulas used   : 11
% 0.22/1.40  # Proof object generating inferences   : 12
% 0.22/1.40  # Proof object simplifying inferences  : 12
% 0.22/1.40  # Training examples: 0 positive, 0 negative
% 0.22/1.40  # Parsed axioms                        : 48
% 0.22/1.40  # Removed by relevancy pruning/SinE    : 17
% 0.22/1.40  # Initial clauses                      : 154
% 0.22/1.40  # Removed in clause preprocessing      : 9
% 0.22/1.40  # Initial clauses in saturation        : 145
% 0.22/1.40  # Processed clauses                    : 248
% 0.22/1.40  # ...of these trivial                  : 1
% 0.22/1.40  # ...subsumed                          : 100
% 0.22/1.40  # ...remaining for further processing  : 147
% 0.22/1.40  # Other redundant clauses eliminated   : 2
% 0.22/1.40  # Clauses deleted for lack of memory   : 0
% 0.22/1.40  # Backward-subsumed                    : 4
% 0.22/1.40  # Backward-rewritten                   : 1
% 0.22/1.40  # Generated clauses                    : 320
% 0.22/1.40  # ...of the previous two non-trivial   : 183
% 0.22/1.40  # Contextual simplify-reflections      : 71
% 0.22/1.40  # Paramodulations                      : 311
% 0.22/1.40  # Factorizations                       : 4
% 0.22/1.40  # Equation resolutions                 : 5
% 0.22/1.40  # Current number of processed clauses  : 140
% 0.22/1.40  #    Positive orientable unit clauses  : 16
% 0.22/1.40  #    Positive unorientable unit clauses: 1
% 0.22/1.40  #    Negative unit clauses             : 15
% 0.22/1.40  #    Non-unit-clauses                  : 108
% 0.22/1.40  # Current number of unprocessed clauses: 77
% 0.22/1.40  # ...number of literals in the above   : 345
% 0.22/1.40  # Current number of archived formulas  : 0
% 0.22/1.40  # Current number of archived clauses   : 5
% 0.22/1.40  # Clause-clause subsumption calls (NU) : 1472
% 0.22/1.40  # Rec. Clause-clause subsumption calls : 854
% 0.22/1.40  # Non-unit clause-clause subsumptions  : 148
% 0.22/1.40  # Unit Clause-clause subsumption calls : 132
% 0.22/1.40  # Rewrite failures with RHS unbound    : 0
% 0.22/1.40  # BW rewrite match attempts            : 7
% 0.22/1.40  # BW rewrite match successes           : 2
% 0.22/1.40  # Condensation attempts                : 0
% 0.22/1.40  # Condensation successes               : 0
% 0.22/1.40  # Termbank termtop insertions          : 9528
% 0.22/1.40  
% 0.22/1.40  # -------------------------------------------------
% 0.22/1.40  # User time                : 0.031 s
% 0.22/1.40  # System time              : 0.001 s
% 0.22/1.40  # Total time               : 0.032 s
% 0.22/1.40  # Maximum resident set size: 3492 pages
%------------------------------------------------------------------------------