TSTP Solution File: CSR015+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CSR015+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% 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 : Fri May  3 02:11:05 EDT 2024

% Result   : Theorem 3.91s 1.03s
% Output   : CNFRefutation 3.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   98 (  18 unt;   0 def)
%            Number of atoms       :  422 ( 174 equ)
%            Maximal formula atoms :   19 (   4 avg)
%            Number of connectives :  503 ( 179   ~; 187   |; 121   &)
%                                         (  14 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :  197 (   0 sgn 130   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [X3,X4,X1] :
      ( ( terminates(X3,X1,X4)
        & happens(X3,X4) )
     => ~ holdsAt(X1,plus(X4,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_terminates_not_holds) ).

fof(f14,axiom,
    ! [X3,X1,X4] :
      ( terminates(X3,X1,X4)
    <=> ( ( ~ happens(push,X4)
          & spinning = X1
          & pull = X3 )
        | ( ~ happens(pull,X4)
          & spinning = X1
          & push = X3 )
        | ( happens(push,X4)
          & backwards = X1
          & pull = X3 )
        | ( happens(push,X4)
          & forwards = X1
          & pull = X3 )
        | ( ~ happens(push,X4)
          & forwards = X1
          & pull = X3 )
        | ( ~ happens(pull,X4)
          & backwards = X1
          & push = X3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',terminates_all_defn) ).

fof(f16,axiom,
    ! [X3,X4] :
      ( happens(X3,X4)
    <=> ( ( n2 = X4
          & push = X3 )
        | ( n2 = X4
          & pull = X3 )
        | ( n1 = X4
          & pull = X3 )
        | ( n0 = X4
          & push = X3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_all_defn) ).

fof(f22,axiom,
    n1 = plus(n0,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).

fof(f31,axiom,
    ! [X8,X9] : plus(X8,X9) = plus(X9,X8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_plus) ).

fof(f48,conjecture,
    ~ holdsAt(backwards,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_backwards_1) ).

fof(f49,negated_conjecture,
    ~ ~ holdsAt(backwards,n1),
    inference(negated_conjecture,[],[f48]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( ( terminates(X0,X2,X1)
        & happens(X0,X1) )
     => ~ holdsAt(X2,plus(X1,n1)) ),
    inference(rectify,[],[f10]) ).

fof(f62,plain,
    ! [X0,X1,X2] :
      ( terminates(X0,X1,X2)
    <=> ( ( ~ happens(push,X2)
          & spinning = X1
          & pull = X0 )
        | ( ~ happens(pull,X2)
          & spinning = X1
          & push = X0 )
        | ( happens(push,X2)
          & backwards = X1
          & pull = X0 )
        | ( happens(push,X2)
          & forwards = X1
          & pull = X0 )
        | ( ~ happens(push,X2)
          & forwards = X1
          & pull = X0 )
        | ( ~ happens(pull,X2)
          & backwards = X1
          & push = X0 ) ) ),
    inference(rectify,[],[f14]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( happens(X0,X1)
    <=> ( ( n2 = X1
          & push = X0 )
        | ( n2 = X1
          & pull = X0 )
        | ( n1 = X1
          & pull = X0 )
        | ( n0 = X1
          & push = X0 ) ) ),
    inference(rectify,[],[f16]) ).

fof(f65,plain,
    ! [X0,X1] : plus(X0,X1) = plus(X1,X0),
    inference(rectify,[],[f31]) ).

fof(f79,plain,
    holdsAt(backwards,n1),
    inference(flattening,[],[f49]) ).

fof(f96,plain,
    ! [X0,X1,X2] :
      ( ~ holdsAt(X2,plus(X1,n1))
      | ~ terminates(X0,X2,X1)
      | ~ happens(X0,X1) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( ~ holdsAt(X2,plus(X1,n1))
      | ~ terminates(X0,X2,X1)
      | ~ happens(X0,X1) ),
    inference(flattening,[],[f96]) ).

fof(f106,plain,
    ! [X2,X1,X0] :
      ( sP2(X2,X1,X0)
    <=> ( ~ happens(pull,X2)
        & backwards = X1
        & push = X0 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f107,plain,
    ! [X2,X1,X0] :
      ( sP3(X2,X1,X0)
    <=> ( ~ happens(push,X2)
        & forwards = X1
        & pull = X0 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f108,plain,
    ! [X2,X1,X0] :
      ( sP4(X2,X1,X0)
    <=> ( happens(push,X2)
        & forwards = X1
        & pull = X0 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f109,plain,
    ! [X2,X1,X0] :
      ( sP5(X2,X1,X0)
    <=> ( happens(push,X2)
        & backwards = X1
        & pull = X0 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f110,plain,
    ! [X2,X1,X0] :
      ( sP6(X2,X1,X0)
    <=> ( ~ happens(pull,X2)
        & spinning = X1
        & push = X0 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f111,plain,
    ! [X2,X1,X0] :
      ( sP7(X2,X1,X0)
    <=> ( ( ~ happens(push,X2)
          & spinning = X1
          & pull = X0 )
        | sP6(X2,X1,X0)
        | sP5(X2,X1,X0)
        | sP4(X2,X1,X0)
        | sP3(X2,X1,X0)
        | sP2(X2,X1,X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f112,plain,
    ! [X0,X1,X2] :
      ( terminates(X0,X1,X2)
    <=> sP7(X2,X1,X0) ),
    inference(definition_folding,[],[f62,f111,f110,f109,f108,f107,f106]) ).

fof(f113,plain,
    ! [X1,X0] :
      ( sP8(X1,X0)
    <=> ( n0 = X1
        & push = X0 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f114,plain,
    ! [X1,X0] :
      ( sP9(X1,X0)
    <=> ( ( n2 = X1
          & push = X0 )
        | ( n2 = X1
          & pull = X0 )
        | ( n1 = X1
          & pull = X0 )
        | sP8(X1,X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( happens(X0,X1)
    <=> sP9(X1,X0) ),
    inference(definition_folding,[],[f64,f114,f113]) ).

fof(f132,plain,
    ! [X2,X1,X0] :
      ( ( sP7(X2,X1,X0)
        | ( ( happens(push,X2)
            | spinning != X1
            | pull != X0 )
          & ~ sP6(X2,X1,X0)
          & ~ sP5(X2,X1,X0)
          & ~ sP4(X2,X1,X0)
          & ~ sP3(X2,X1,X0)
          & ~ sP2(X2,X1,X0) ) )
      & ( ( ~ happens(push,X2)
          & spinning = X1
          & pull = X0 )
        | sP6(X2,X1,X0)
        | sP5(X2,X1,X0)
        | sP4(X2,X1,X0)
        | sP3(X2,X1,X0)
        | sP2(X2,X1,X0)
        | ~ sP7(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f111]) ).

fof(f133,plain,
    ! [X2,X1,X0] :
      ( ( sP7(X2,X1,X0)
        | ( ( happens(push,X2)
            | spinning != X1
            | pull != X0 )
          & ~ sP6(X2,X1,X0)
          & ~ sP5(X2,X1,X0)
          & ~ sP4(X2,X1,X0)
          & ~ sP3(X2,X1,X0)
          & ~ sP2(X2,X1,X0) ) )
      & ( ( ~ happens(push,X2)
          & spinning = X1
          & pull = X0 )
        | sP6(X2,X1,X0)
        | sP5(X2,X1,X0)
        | sP4(X2,X1,X0)
        | sP3(X2,X1,X0)
        | sP2(X2,X1,X0)
        | ~ sP7(X2,X1,X0) ) ),
    inference(flattening,[],[f132]) ).

fof(f134,plain,
    ! [X0,X1,X2] :
      ( ( sP7(X0,X1,X2)
        | ( ( happens(push,X0)
            | spinning != X1
            | pull != X2 )
          & ~ sP6(X0,X1,X2)
          & ~ sP5(X0,X1,X2)
          & ~ sP4(X0,X1,X2)
          & ~ sP3(X0,X1,X2)
          & ~ sP2(X0,X1,X2) ) )
      & ( ( ~ happens(push,X0)
          & spinning = X1
          & pull = X2 )
        | sP6(X0,X1,X2)
        | sP5(X0,X1,X2)
        | sP4(X0,X1,X2)
        | sP3(X0,X1,X2)
        | sP2(X0,X1,X2)
        | ~ sP7(X0,X1,X2) ) ),
    inference(rectify,[],[f133]) ).

fof(f138,plain,
    ! [X2,X1,X0] :
      ( ( sP5(X2,X1,X0)
        | ~ happens(push,X2)
        | backwards != X1
        | pull != X0 )
      & ( ( happens(push,X2)
          & backwards = X1
          & pull = X0 )
        | ~ sP5(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f109]) ).

fof(f139,plain,
    ! [X2,X1,X0] :
      ( ( sP5(X2,X1,X0)
        | ~ happens(push,X2)
        | backwards != X1
        | pull != X0 )
      & ( ( happens(push,X2)
          & backwards = X1
          & pull = X0 )
        | ~ sP5(X2,X1,X0) ) ),
    inference(flattening,[],[f138]) ).

fof(f140,plain,
    ! [X0,X1,X2] :
      ( ( sP5(X0,X1,X2)
        | ~ happens(push,X0)
        | backwards != X1
        | pull != X2 )
      & ( ( happens(push,X0)
          & backwards = X1
          & pull = X2 )
        | ~ sP5(X0,X1,X2) ) ),
    inference(rectify,[],[f139]) ).

fof(f147,plain,
    ! [X2,X1,X0] :
      ( ( sP2(X2,X1,X0)
        | happens(pull,X2)
        | backwards != X1
        | push != X0 )
      & ( ( ~ happens(pull,X2)
          & backwards = X1
          & push = X0 )
        | ~ sP2(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f106]) ).

fof(f148,plain,
    ! [X2,X1,X0] :
      ( ( sP2(X2,X1,X0)
        | happens(pull,X2)
        | backwards != X1
        | push != X0 )
      & ( ( ~ happens(pull,X2)
          & backwards = X1
          & push = X0 )
        | ~ sP2(X2,X1,X0) ) ),
    inference(flattening,[],[f147]) ).

fof(f149,plain,
    ! [X0,X1,X2] :
      ( ( sP2(X0,X1,X2)
        | happens(pull,X0)
        | backwards != X1
        | push != X2 )
      & ( ( ~ happens(pull,X0)
          & backwards = X1
          & push = X2 )
        | ~ sP2(X0,X1,X2) ) ),
    inference(rectify,[],[f148]) ).

fof(f150,plain,
    ! [X0,X1,X2] :
      ( ( terminates(X0,X1,X2)
        | ~ sP7(X2,X1,X0) )
      & ( sP7(X2,X1,X0)
        | ~ terminates(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f112]) ).

fof(f151,plain,
    ! [X1,X0] :
      ( ( sP9(X1,X0)
        | ( ( n2 != X1
            | push != X0 )
          & ( n2 != X1
            | pull != X0 )
          & ( n1 != X1
            | pull != X0 )
          & ~ sP8(X1,X0) ) )
      & ( ( n2 = X1
          & push = X0 )
        | ( n2 = X1
          & pull = X0 )
        | ( n1 = X1
          & pull = X0 )
        | sP8(X1,X0)
        | ~ sP9(X1,X0) ) ),
    inference(nnf_transformation,[],[f114]) ).

fof(f152,plain,
    ! [X1,X0] :
      ( ( sP9(X1,X0)
        | ( ( n2 != X1
            | push != X0 )
          & ( n2 != X1
            | pull != X0 )
          & ( n1 != X1
            | pull != X0 )
          & ~ sP8(X1,X0) ) )
      & ( ( n2 = X1
          & push = X0 )
        | ( n2 = X1
          & pull = X0 )
        | ( n1 = X1
          & pull = X0 )
        | sP8(X1,X0)
        | ~ sP9(X1,X0) ) ),
    inference(flattening,[],[f151]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ( sP9(X0,X1)
        | ( ( n2 != X0
            | push != X1 )
          & ( n2 != X0
            | pull != X1 )
          & ( n1 != X0
            | pull != X1 )
          & ~ sP8(X0,X1) ) )
      & ( ( n2 = X0
          & push = X1 )
        | ( n2 = X0
          & pull = X1 )
        | ( n1 = X0
          & pull = X1 )
        | sP8(X0,X1)
        | ~ sP9(X0,X1) ) ),
    inference(rectify,[],[f152]) ).

fof(f154,plain,
    ! [X1,X0] :
      ( ( sP8(X1,X0)
        | n0 != X1
        | push != X0 )
      & ( ( n0 = X1
          & push = X0 )
        | ~ sP8(X1,X0) ) ),
    inference(nnf_transformation,[],[f113]) ).

fof(f155,plain,
    ! [X1,X0] :
      ( ( sP8(X1,X0)
        | n0 != X1
        | push != X0 )
      & ( ( n0 = X1
          & push = X0 )
        | ~ sP8(X1,X0) ) ),
    inference(flattening,[],[f154]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( ( sP8(X0,X1)
        | n0 != X0
        | push != X1 )
      & ( ( n0 = X0
          & push = X1 )
        | ~ sP8(X0,X1) ) ),
    inference(rectify,[],[f155]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ( happens(X0,X1)
        | ~ sP9(X1,X0) )
      & ( sP9(X1,X0)
        | ~ happens(X0,X1) ) ),
    inference(nnf_transformation,[],[f115]) ).

fof(f180,plain,
    ! [X2,X0,X1] :
      ( ~ holdsAt(X2,plus(X1,n1))
      | ~ terminates(X0,X2,X1)
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f201,plain,
    ! [X2,X0,X1] :
      ( sP7(X0,X1,X2)
      | ~ sP2(X0,X1,X2) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f204,plain,
    ! [X2,X0,X1] :
      ( sP7(X0,X1,X2)
      | ~ sP5(X0,X1,X2) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f214,plain,
    ! [X2,X0,X1] :
      ( sP5(X0,X1,X2)
      | ~ happens(push,X0)
      | backwards != X1
      | pull != X2 ),
    inference(cnf_transformation,[],[f140]) ).

fof(f226,plain,
    ! [X2,X0,X1] :
      ( sP2(X0,X1,X2)
      | happens(pull,X0)
      | backwards != X1
      | push != X2 ),
    inference(cnf_transformation,[],[f149]) ).

fof(f228,plain,
    ! [X2,X0,X1] :
      ( terminates(X0,X1,X2)
      | ~ sP7(X2,X1,X0) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( sP9(X0,X1)
      | ~ sP8(X0,X1) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( sP8(X0,X1)
      | n0 != X0
      | push != X1 ),
    inference(cnf_transformation,[],[f156]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( happens(X0,X1)
      | ~ sP9(X1,X0) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f252,plain,
    n1 = plus(n0,n1),
    inference(cnf_transformation,[],[f22]) ).

fof(f261,plain,
    ! [X0,X1] : plus(X0,X1) = plus(X1,X0),
    inference(cnf_transformation,[],[f65]) ).

fof(f291,plain,
    holdsAt(backwards,n1),
    inference(cnf_transformation,[],[f79]) ).

fof(f302,plain,
    ! [X2,X0] :
      ( sP5(X0,backwards,X2)
      | ~ happens(push,X0)
      | pull != X2 ),
    inference(equality_resolution,[],[f214]) ).

fof(f303,plain,
    ! [X0] :
      ( sP5(X0,backwards,pull)
      | ~ happens(push,X0) ),
    inference(equality_resolution,[],[f302]) ).

fof(f308,plain,
    ! [X2,X0] :
      ( sP2(X0,backwards,X2)
      | happens(pull,X0)
      | push != X2 ),
    inference(equality_resolution,[],[f226]) ).

fof(f309,plain,
    ! [X0] :
      ( sP2(X0,backwards,push)
      | happens(pull,X0) ),
    inference(equality_resolution,[],[f308]) ).

fof(f316,plain,
    ! [X1] :
      ( sP8(n0,X1)
      | push != X1 ),
    inference(equality_resolution,[],[f244]) ).

fof(f317,plain,
    sP8(n0,push),
    inference(equality_resolution,[],[f316]) ).

cnf(c_58,plain,
    ( ~ holdsAt(X0,plus(X1,n1))
    | ~ terminates(X2,X0,X1)
    | ~ happens(X2,X1) ),
    inference(cnf_transformation,[],[f180]) ).

cnf(c_78,plain,
    ( ~ sP5(X0,X1,X2)
    | sP7(X0,X1,X2) ),
    inference(cnf_transformation,[],[f204]) ).

cnf(c_81,plain,
    ( ~ sP2(X0,X1,X2)
    | sP7(X0,X1,X2) ),
    inference(cnf_transformation,[],[f201]) ).

cnf(c_89,plain,
    ( ~ happens(push,X0)
    | sP5(X0,backwards,pull) ),
    inference(cnf_transformation,[],[f303]) ).

cnf(c_101,plain,
    ( sP2(X0,backwards,push)
    | happens(pull,X0) ),
    inference(cnf_transformation,[],[f309]) ).

cnf(c_105,plain,
    ( ~ sP7(X0,X1,X2)
    | terminates(X2,X1,X0) ),
    inference(cnf_transformation,[],[f228]) ).

cnf(c_111,plain,
    ( ~ sP8(X0,X1)
    | sP9(X0,X1) ),
    inference(cnf_transformation,[],[f238]) ).

cnf(c_120,plain,
    sP8(n0,push),
    inference(cnf_transformation,[],[f317]) ).

cnf(c_123,plain,
    ( ~ sP9(X0,X1)
    | happens(X1,X0) ),
    inference(cnf_transformation,[],[f246]) ).

cnf(c_130,plain,
    plus(n0,n1) = n1,
    inference(cnf_transformation,[],[f252]) ).

cnf(c_139,plain,
    plus(X0,X1) = plus(X1,X0),
    inference(cnf_transformation,[],[f261]) ).

cnf(c_169,negated_conjecture,
    holdsAt(backwards,n1),
    inference(cnf_transformation,[],[f291]) ).

cnf(c_338,plain,
    ( ~ happens(push,X0)
    | sP5(X0,backwards,pull) ),
    inference(prop_impl_just,[status(thm)],[c_89]) ).

cnf(c_370,plain,
    ( happens(pull,X0)
    | sP2(X0,backwards,push) ),
    inference(prop_impl_just,[status(thm)],[c_101]) ).

cnf(c_371,plain,
    ( sP2(X0,backwards,push)
    | happens(pull,X0) ),
    inference(renaming,[status(thm)],[c_370]) ).

cnf(c_380,plain,
    ( ~ sP7(X0,X1,X2)
    | terminates(X2,X1,X0) ),
    inference(prop_impl_just,[status(thm)],[c_105]) ).

cnf(c_396,plain,
    ( ~ sP5(X0,X1,X2)
    | sP7(X0,X1,X2) ),
    inference(prop_impl_just,[status(thm)],[c_78]) ).

cnf(c_420,plain,
    ( ~ sP2(X0,X1,X2)
    | sP7(X0,X1,X2) ),
    inference(prop_impl_just,[status(thm)],[c_81]) ).

cnf(c_436,plain,
    ( ~ sP9(X0,X1)
    | happens(X1,X0) ),
    inference(prop_impl_just,[status(thm)],[c_123]) ).

cnf(c_438,plain,
    ( ~ sP8(X0,X1)
    | sP9(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_111]) ).

cnf(c_1237,plain,
    plus(n1,n0) = n1,
    inference(demodulation,[status(thm)],[c_130,c_139]) ).

cnf(c_1537,plain,
    ( X0 != X1
    | X2 != X3
    | X4 != X5
    | ~ holdsAt(X0,plus(X2,n1))
    | ~ sP7(X3,X1,X5)
    | ~ happens(X4,X2) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_380]) ).

cnf(c_1538,plain,
    ( ~ holdsAt(X0,plus(X1,n1))
    | ~ sP7(X1,X0,X2)
    | ~ happens(X2,X1) ),
    inference(unflattening,[status(thm)],[c_1537]) ).

cnf(c_1614,plain,
    ( X0 != n0
    | X1 != push
    | sP9(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_438,c_120]) ).

cnf(c_1615,plain,
    sP9(n0,push),
    inference(unflattening,[status(thm)],[c_1614]) ).

cnf(c_2062,plain,
    ( X0 != X1
    | X2 != backwards
    | X3 != pull
    | ~ happens(push,X1)
    | sP7(X0,X2,X3) ),
    inference(resolution_lifted,[status(thm)],[c_396,c_338]) ).

cnf(c_2063,plain,
    ( ~ happens(push,X0)
    | sP7(X0,backwards,pull) ),
    inference(unflattening,[status(thm)],[c_2062]) ).

cnf(c_2302,plain,
    ( X0 != X1
    | X2 != backwards
    | X3 != push
    | sP7(X0,X2,X3)
    | happens(pull,X1) ),
    inference(resolution_lifted,[status(thm)],[c_420,c_371]) ).

cnf(c_2303,plain,
    ( sP7(X0,backwards,push)
    | happens(pull,X0) ),
    inference(unflattening,[status(thm)],[c_2302]) ).

cnf(c_2607,plain,
    ( X0 != n0
    | X1 != push
    | happens(X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_436,c_1615]) ).

cnf(c_2608,plain,
    happens(push,n0),
    inference(unflattening,[status(thm)],[c_2607]) ).

cnf(c_4674,plain,
    ( ~ happens(push,X0)
    | sP7(X0,backwards,pull) ),
    inference(prop_impl_just,[status(thm)],[c_2063]) ).

cnf(c_4686,plain,
    ( happens(pull,X0)
    | sP7(X0,backwards,push) ),
    inference(prop_impl_just,[status(thm)],[c_2303]) ).

cnf(c_4687,plain,
    ( sP7(X0,backwards,push)
    | happens(pull,X0) ),
    inference(renaming,[status(thm)],[c_4686]) ).

cnf(c_8923,plain,
    ( ~ holdsAt(X0,plus(n1,X1))
    | ~ sP7(X1,X0,X2)
    | ~ happens(X2,X1) ),
    inference(superposition,[status(thm)],[c_139,c_1538]) ).

cnf(c_9091,plain,
    ( ~ sP7(n0,X0,X1)
    | ~ holdsAt(X0,n1)
    | ~ happens(X1,n0) ),
    inference(superposition,[status(thm)],[c_1237,c_8923]) ).

cnf(c_9144,plain,
    ( ~ holdsAt(backwards,n1)
    | ~ happens(pull,n0)
    | ~ happens(push,n0) ),
    inference(superposition,[status(thm)],[c_4674,c_9091]) ).

cnf(c_9145,plain,
    ( ~ holdsAt(backwards,n1)
    | ~ happens(push,n0)
    | happens(pull,n0) ),
    inference(superposition,[status(thm)],[c_4687,c_9091]) ).

cnf(c_9146,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_9144,c_9145,c_2608,c_169]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : CSR015+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.10/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.32  % Computer : n002.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Thu May  2 23:15:42 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.16/0.40  Running first-order theorem proving
% 0.16/0.40  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.91/1.03  % SZS status Started for theBenchmark.p
% 3.91/1.03  % SZS status Theorem for theBenchmark.p
% 3.91/1.03  
% 3.91/1.03  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.91/1.03  
% 3.91/1.03  ------  iProver source info
% 3.91/1.03  
% 3.91/1.03  git: date: 2024-05-02 19:28:25 +0000
% 3.91/1.03  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.91/1.03  git: non_committed_changes: false
% 3.91/1.03  
% 3.91/1.03  ------ Parsing...
% 3.91/1.03  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.91/1.03  
% 3.91/1.03  ------ Preprocessing... sup_sim: 2  sf_s  rm: 3 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 0  sf_s  rm: 10 0s  sf_e  pe_s  pe_e 
% 3.91/1.03  
% 3.91/1.03  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.91/1.03  
% 3.91/1.03  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.91/1.03  ------ Proving...
% 3.91/1.03  ------ Problem Properties 
% 3.91/1.03  
% 3.91/1.03  
% 3.91/1.03  clauses                                 82
% 3.91/1.03  conjectures                             1
% 3.91/1.03  EPR                                     65
% 3.91/1.03  Horn                                    56
% 3.91/1.03  unary                                   27
% 3.91/1.03  binary                                  31
% 3.91/1.03  lits                                    177
% 3.91/1.04  lits eq                                 54
% 3.91/1.04  fd_pure                                 0
% 3.91/1.04  fd_pseudo                               0
% 3.91/1.04  fd_cond                                 18
% 3.91/1.04  fd_pseudo_cond                          2
% 3.91/1.04  AC symbols                              0
% 3.91/1.04  
% 3.91/1.04  ------ Input Options Time Limit: Unbounded
% 3.91/1.04  
% 3.91/1.04  
% 3.91/1.04  ------ 
% 3.91/1.04  Current options:
% 3.91/1.04  ------ 
% 3.91/1.04  
% 3.91/1.04  
% 3.91/1.04  
% 3.91/1.04  
% 3.91/1.04  ------ Proving...
% 3.91/1.04  
% 3.91/1.04  
% 3.91/1.04  ------ Proving...
% 3.91/1.04  
% 3.91/1.04  
% 3.91/1.04  ------ Proving...
% 3.91/1.04  
% 3.91/1.04  
% 3.91/1.04  % SZS status Theorem for theBenchmark.p
% 3.91/1.04  
% 3.91/1.04  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.91/1.04  
% 3.91/1.04  
%------------------------------------------------------------------------------