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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SEU291+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:51:36 PM UTC 2026

% Result   : Theorem 17.39s 2.69s
% Output   : Proof 17.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  109 (  32 unt;   0 def)
%            Number of atoms       :  275 (  84 equ)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  262 (  96   ~; 105   |;  40   &)
%                                         (   4 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :  124 (   2 sgn  89   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f41,axiom,
    ! [A,B,C,D] :
      ( relation_of2_as_subset(D,C,A)
     => ( subset(A,B)
       => relation_of2_as_subset(D,C,B) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_relset_1) ).

fof(f41_nnf,plain,
    ! [A,B,C,D] :
      ( relation_of2_as_subset(D,C,B)
      | ~ subset(A,B)
      | ~ relation_of2_as_subset(D,C,A) ),
    inference(nnf_transformation,[status(thm)],[f41]) ).

fof(f41_sk,plain,
    ! [D,C,A,B] :
      ( relation_of2_as_subset(D,C,B)
      | ~ subset(A,B)
      | ~ relation_of2_as_subset(D,C,A) ),
    inference(skolemisation,[status(esa)],[f41_nnf]) ).

cnf(c73,plain,
    ( relation_of2_as_subset(X3,X2,X1)
    | ~ subset(X0,X1)
    | ~ relation_of2_as_subset(X3,X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f41_sk]) ).

fof(f51,conjecture,
    ! [A,B,C,D] :
      ( ( relation_of2_as_subset(D,A,B)
        & quasi_total(D,A,B)
        & function(D) )
     => ( subset(B,C)
       => ( ( relation_of2_as_subset(D,A,C)
            & quasi_total(D,A,C)
            & function(D) )
          | ( A != empty_set
            & B = empty_set ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_funct_2) ).

fof(f51_neg,negated_conjecture,
    ~ ! [A,B,C,D] :
        ( ( relation_of2_as_subset(D,A,B)
          & quasi_total(D,A,B)
          & function(D) )
       => ( subset(B,C)
         => ( ( relation_of2_as_subset(D,A,C)
              & quasi_total(D,A,C)
              & function(D) )
            | ( A != empty_set
              & B = empty_set ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f51]) ).

fof(f51_nnf,plain,
    ? [A,B,C,D] :
      ( ( ~ relation_of2_as_subset(D,A,C)
        | ~ quasi_total(D,A,C)
        | ~ function(D) )
      & ( A = empty_set
        | B != empty_set )
      & subset(B,C)
      & relation_of2_as_subset(D,A,B)
      & quasi_total(D,A,B)
      & function(D) ),
    inference(nnf_transformation,[status(thm)],[f51_neg]) ).

fof(f51_sk,plain,
    ( ( ~ relation_of2_as_subset(sk20,sk17,sk19)
      | ~ quasi_total(sk20,sk17,sk19)
      | ~ function(sk20) )
    & ( sk17 = empty_set
      | sk18 != empty_set )
    & subset(sk18,sk19)
    & relation_of2_as_subset(sk20,sk17,sk18)
    & quasi_total(sk20,sk17,sk18)
    & function(sk20) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk17,sk18,sk19,sk20])],[f51_nnf]) ).

cnf(c86,plain,
    relation_of2_as_subset(sk20,sk17,sk18),
    inference(cnf_transformation,[status(esa)],[f51_sk]) ).

cnf(p227,plain,
    ( relation_of2_as_subset(sk20,sk17,X0)
    | ~ subset(sk18,X0) ),
    inference(resolution,[status(thm)],[c73,c86]) ).

cnf(c87,plain,
    subset(sk18,sk19),
    inference(cnf_transformation,[status(esa)],[f51_sk]) ).

cnf(p229,plain,
    relation_of2_as_subset(sk20,sk17,sk19),
    inference(resolution,[status(thm)],[p227,c87]) ).

fof(f39,axiom,
    ! [A,B,C] :
      ( relation_of2_as_subset(C,A,B)
    <=> relation_of2(C,A,B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

fof(f39_nnf,plain,
    ! [A,B,C] :
      ( ( ~ relation_of2(C,A,B)
        | relation_of2_as_subset(C,A,B) )
      & ( relation_of2(C,A,B)
        | ~ relation_of2_as_subset(C,A,B) ) ),
    inference(nnf_transformation,[status(thm)],[f39]) ).

fof(f39_sk,plain,
    ! [C,A,B] :
      ( ( ~ relation_of2(C,A,B)
        | relation_of2_as_subset(C,A,B) )
      & ( relation_of2(C,A,B)
        | ~ relation_of2_as_subset(C,A,B) ) ),
    inference(skolemisation,[status(esa)],[f39_nnf]) ).

cnf(c70,plain,
    ( relation_of2(X2,X0,X1)
    | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f39_sk]) ).

cnf(p237,plain,
    relation_of2(sk20,sk17,sk19),
    inference(resolution,[status(thm)],[p229,c70]) ).

fof(f38,axiom,
    ! [A,B,C] :
      ( relation_of2(C,A,B)
     => relation_dom_as_subset(A,B,C) = relation_dom(C) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).

fof(f38_nnf,plain,
    ! [A,B,C] :
      ( relation_dom_as_subset(A,B,C) = relation_dom(C)
      | ~ relation_of2(C,A,B) ),
    inference(nnf_transformation,[status(thm)],[f38]) ).

fof(f38_sk,plain,
    ! [C,A,B] :
      ( relation_dom_as_subset(A,B,C) = relation_dom(C)
      | ~ relation_of2(C,A,B) ),
    inference(skolemisation,[status(esa)],[f38_nnf]) ).

cnf(c69,plain,
    ( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
    | ~ relation_of2(X2,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f38_sk]) ).

cnf(p240,plain,
    relation_dom_as_subset(sk17,sk19,sk20) = relation_dom(sk20),
    inference(resolution,[status(thm)],[p237,c69]) ).

fof(f5,axiom,
    ! [A,B,C] :
      ( relation_of2_as_subset(C,A,B)
     => ( ( B = empty_set
         => ( ( quasi_total(C,A,B)
            <=> C = empty_set )
            | A = empty_set ) )
        & ( ( B = empty_set
           => A = empty_set )
         => ( quasi_total(C,A,B)
          <=> A = relation_dom_as_subset(A,B,C) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_2) ).

fof(f5_nnf,plain,
    ! [A,B,C] :
      ( ( ( ( ( C != empty_set
              | quasi_total(C,A,B) )
            & ( C = empty_set
              | ~ quasi_total(C,A,B) ) )
          | A = empty_set
          | B != empty_set )
        & ( ( ( A != relation_dom_as_subset(A,B,C)
              | quasi_total(C,A,B) )
            & ( A = relation_dom_as_subset(A,B,C)
              | ~ quasi_total(C,A,B) ) )
          | ( A != empty_set
            & B = empty_set ) ) )
      | ~ relation_of2_as_subset(C,A,B) ),
    inference(nnf_transformation,[status(thm)],[f5]) ).

fof(f5_sk,plain,
    ! [C,A,B] :
      ( ( ( ( ( C != empty_set
              | quasi_total(C,A,B) )
            & ( C = empty_set
              | ~ quasi_total(C,A,B) ) )
          | A = empty_set
          | B != empty_set )
        & ( ( ( A != relation_dom_as_subset(A,B,C)
              | quasi_total(C,A,B) )
            & ( A = relation_dom_as_subset(A,B,C)
              | ~ quasi_total(C,A,B) ) )
          | ( A != empty_set
            & B = empty_set ) ) )
      | ~ relation_of2_as_subset(C,A,B) ),
    inference(skolemisation,[status(esa)],[f5_nnf]) ).

cnf(c8,plain,
    ( X0 != relation_dom_as_subset(X0,X1,X2)
    | quasi_total(X2,X0,X1)
    | X1 = empty_set
    | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(p231,plain,
    ( sk17 != relation_dom_as_subset(sk17,sk19,sk20)
    | quasi_total(sk20,sk17,sk19)
    | sk19 = empty_set ),
    inference(resolution,[status(thm)],[p229,c8]) ).

cnf(p242,plain,
    ( sk17 != relation_dom(sk20)
    | quasi_total(sk20,sk17,sk19)
    | sk19 = empty_set ),
    inference(demodulation,[status(thm)],[p240,p231]) ).

cnf(p214,plain,
    relation_of2(sk20,sk17,sk18),
    inference(resolution,[status(thm)],[c70,c86]) ).

cnf(p217,plain,
    relation_dom_as_subset(sk17,sk18,sk20) = relation_dom(sk20),
    inference(resolution,[status(thm)],[p214,c69]) ).

cnf(c7,plain,
    ( X0 = relation_dom_as_subset(X0,X1,X2)
    | ~ quasi_total(X2,X0,X1)
    | X1 = empty_set
    | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(p102,plain,
    ( sk17 = relation_dom_as_subset(sk17,sk18,sk20)
    | ~ quasi_total(sk20,sk17,sk18)
    | sk18 = empty_set ),
    inference(resolution,[status(thm)],[c7,c86]) ).

cnf(c85,plain,
    quasi_total(sk20,sk17,sk18),
    inference(cnf_transformation,[status(esa)],[f51_sk]) ).

cnf(p103,plain,
    ( sk17 = relation_dom_as_subset(sk17,sk18,sk20)
    | sk18 = empty_set ),
    inference(resolution,[status(thm)],[p102,c85]) ).

cnf(p218,plain,
    ( sk17 = relation_dom(sk20)
    | sk18 = empty_set ),
    inference(demodulation,[status(thm)],[p217,p103]) ).

cnf(p245,plain,
    ( sk18 = empty_set
    | quasi_total(sk20,sk17,sk19)
    | sk19 = empty_set ),
    inference(resolution,[status(thm)],[p242,p218]) ).

cnf(c89,plain,
    ( ~ relation_of2_as_subset(sk20,sk17,sk19)
    | ~ quasi_total(sk20,sk17,sk19)
    | ~ function(sk20) ),
    inference(cnf_transformation,[status(esa)],[f51_sk]) ).

cnf(c84,plain,
    function(sk20),
    inference(cnf_transformation,[status(esa)],[f51_sk]) ).

cnf(p91,plain,
    ( ~ relation_of2_as_subset(sk20,sk17,sk19)
    | ~ quasi_total(sk20,sk17,sk19) ),
    inference(resolution,[status(thm)],[c89,c84]) ).

cnf(p255,plain,
    ( ~ relation_of2_as_subset(sk20,sk17,sk19)
    | sk18 = empty_set
    | sk19 = empty_set ),
    inference(resolution,[status(thm)],[p245,p91]) ).

cnf(p268,plain,
    ( sk18 = empty_set
    | sk19 = empty_set ),
    inference(resolution,[status(thm)],[p255,p229]) ).

cnf(p269,plain,
    ( subset(sk18,empty_set)
    | sk18 = empty_set ),
    inference(superposition,[status(thm)],[p268,c87]) ).

fof(f45,axiom,
    ! [A] :
      ( subset(A,empty_set)
     => A = empty_set ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_1) ).

fof(f45_nnf,plain,
    ! [A] :
      ( A = empty_set
      | ~ subset(A,empty_set) ),
    inference(nnf_transformation,[status(thm)],[f45]) ).

fof(f45_sk,plain,
    ! [A] :
      ( A = empty_set
      | ~ subset(A,empty_set) ),
    inference(skolemisation,[status(esa)],[f45_nnf]) ).

cnf(c78,plain,
    ( X0 = empty_set
    | ~ subset(X0,empty_set) ),
    inference(cnf_transformation,[status(esa)],[f45_sk]) ).

cnf(p281,plain,
    ( sk18 = empty_set
    | sk18 = empty_set ),
    inference(resolution,[status(thm)],[p269,c78]) ).

cnf(p287,plain,
    sk18 = empty_set,
    inference(factoring,[status(thm)],[p281]) ).

cnf(c88,plain,
    ( sk17 = empty_set
    | sk18 != empty_set ),
    inference(cnf_transformation,[status(esa)],[f51_sk]) ).

cnf(p291,plain,
    ( sk17 = empty_set
    | empty_set != empty_set ),
    inference(demodulation,[status(thm)],[p287,c88]) ).

cnf(p329,plain,
    sk17 = empty_set,
    inference(equality_resolution,[status(thm)],[p291]) ).

fof(f44,axiom,
    ! [A,B] :
      ( element(A,powerset(B))
    <=> subset(A,B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).

fof(f44_nnf,plain,
    ! [A,B] :
      ( ( ~ subset(A,B)
        | element(A,powerset(B)) )
      & ( subset(A,B)
        | ~ element(A,powerset(B)) ) ),
    inference(nnf_transformation,[status(thm)],[f44]) ).

fof(f44_sk,plain,
    ! [A,B] :
      ( ( ~ subset(A,B)
        | element(A,powerset(B)) )
      & ( subset(A,B)
        | ~ element(A,powerset(B)) ) ),
    inference(skolemisation,[status(esa)],[f44_nnf]) ).

cnf(c76,plain,
    ( subset(X0,X1)
    | ~ element(X0,powerset(X1)) ),
    inference(cnf_transformation,[status(esa)],[f44_sk]) ).

fof(f10,axiom,
    ! [A,B,C] :
      ( relation_of2(C,A,B)
     => element(relation_dom_as_subset(A,B,C),powerset(A)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_relset_1) ).

fof(f10_nnf,plain,
    ! [A,B,C] :
      ( element(relation_dom_as_subset(A,B,C),powerset(A))
      | ~ relation_of2(C,A,B) ),
    inference(nnf_transformation,[status(thm)],[f10]) ).

fof(f10_sk,plain,
    ! [C,A,B] :
      ( element(relation_dom_as_subset(A,B,C),powerset(A))
      | ~ relation_of2(C,A,B) ),
    inference(skolemisation,[status(esa)],[f10_nnf]) ).

cnf(c17,plain,
    ( element(relation_dom_as_subset(X0,X1,X2),powerset(X0))
    | ~ relation_of2(X2,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f10_sk]) ).

cnf(p216,plain,
    element(relation_dom_as_subset(sk17,sk18,sk20),powerset(sk17)),
    inference(resolution,[status(thm)],[p214,c17]) ).

cnf(p220,plain,
    element(relation_dom(sk20),powerset(sk17)),
    inference(demodulation,[status(thm)],[p217,p216]) ).

cnf(p261,plain,
    subset(relation_dom(sk20),sk17),
    inference(resolution,[status(thm)],[c76,p220]) ).

cnf(p344,plain,
    subset(relation_dom(sk20),empty_set),
    inference(demodulation,[status(thm)],[p329,p261]) ).

cnf(p369,plain,
    relation_dom(sk20) = empty_set,
    inference(resolution,[status(thm)],[p344,c78]) ).

fof(f22,axiom,
    ! [A] :
      ( ( relation(A)
        & ~ empty(A) )
     => ~ empty(relation_dom(A)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_relat_1) ).

fof(f22_nnf,plain,
    ! [A] :
      ( ~ empty(relation_dom(A))
      | ~ relation(A)
      | empty(A) ),
    inference(nnf_transformation,[status(thm)],[f22]) ).

fof(f22_sk,plain,
    ! [A] :
      ( ~ empty(relation_dom(A))
      | ~ relation(A)
      | empty(A) ),
    inference(skolemisation,[status(esa)],[f22_nnf]) ).

cnf(c32,plain,
    ( ~ empty(relation_dom(X0))
    | ~ relation(X0)
    | empty(X0) ),
    inference(cnf_transformation,[status(esa)],[f22_sk]) ).

fof(f13,axiom,
    ! [A,B,C] :
      ( relation_of2_as_subset(C,A,B)
     => element(C,powerset(cartesian_product2(A,B))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).

fof(f13_nnf,plain,
    ! [A,B,C] :
      ( element(C,powerset(cartesian_product2(A,B)))
      | ~ relation_of2_as_subset(C,A,B) ),
    inference(nnf_transformation,[status(thm)],[f13]) ).

fof(f13_sk,plain,
    ! [C,A,B] :
      ( element(C,powerset(cartesian_product2(A,B)))
      | ~ relation_of2_as_subset(C,A,B) ),
    inference(skolemisation,[status(esa)],[f13_nnf]) ).

cnf(c20,plain,
    ( element(X2,powerset(cartesian_product2(X0,X1)))
    | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f13_sk]) ).

cnf(p121,plain,
    element(sk20,powerset(cartesian_product2(sk17,sk18))),
    inference(resolution,[status(thm)],[c20,c86]) ).

fof(f3,axiom,
    ! [A,B,C] :
      ( element(C,powerset(cartesian_product2(A,B)))
     => relation(C) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).

fof(f3_nnf,plain,
    ! [A,B,C] :
      ( relation(C)
      | ~ element(C,powerset(cartesian_product2(A,B))) ),
    inference(nnf_transformation,[status(thm)],[f3]) ).

fof(f3_sk,plain,
    ! [C,A,B] :
      ( relation(C)
      | ~ element(C,powerset(cartesian_product2(A,B))) ),
    inference(skolemisation,[status(esa)],[f3_nnf]) ).

cnf(c3,plain,
    ( relation(X2)
    | ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
    inference(cnf_transformation,[status(esa)],[f3_sk]) ).

cnf(p122,plain,
    relation(sk20),
    inference(resolution,[status(thm)],[p121,c3]) ).

cnf(p161,plain,
    ( ~ empty(relation_dom(sk20))
    | empty(sk20) ),
    inference(resolution,[status(thm)],[c32,p122]) ).

cnf(p370,plain,
    ( ~ empty(empty_set)
    | empty(sk20) ),
    inference(demodulation,[status(thm)],[p369,p161]) ).

fof(f17,axiom,
    ( relation_empty_yielding(empty_set)
    & relation(empty_set)
    & empty(empty_set) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_relat_1) ).

fof(f17_nnf,plain,
    ( relation_empty_yielding(empty_set)
    & relation(empty_set)
    & empty(empty_set) ),
    inference(nnf_transformation,[status(thm)],[f17]) ).

fof(f17_sk,plain,
    ( relation_empty_yielding(empty_set)
    & relation(empty_set)
    & empty(empty_set) ),
    inference(skolemisation,[status(esa)],[f17_nnf]) ).

cnf(c24,plain,
    empty(empty_set),
    inference(cnf_transformation,[status(esa)],[f17_sk]) ).

cnf(p381,plain,
    empty(sk20),
    inference(resolution,[status(thm)],[p370,c24]) ).

fof(f48,axiom,
    ! [A] :
      ( empty(A)
     => A = empty_set ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).

fof(f48_nnf,plain,
    ! [A] :
      ( A = empty_set
      | ~ empty(A) ),
    inference(nnf_transformation,[status(thm)],[f48]) ).

fof(f48_sk,plain,
    ! [A] :
      ( A = empty_set
      | ~ empty(A) ),
    inference(skolemisation,[status(esa)],[f48_nnf]) ).

cnf(c81,plain,
    ( X0 = empty_set
    | ~ empty(X0) ),
    inference(cnf_transformation,[status(esa)],[f48_sk]) ).

cnf(p383,plain,
    sk20 = empty_set,
    inference(resolution,[status(thm)],[p381,c81]) ).

cnf(p338,plain,
    ( empty_set != relation_dom(sk20)
    | quasi_total(sk20,empty_set,sk19)
    | sk19 = empty_set ),
    inference(demodulation,[status(thm)],[p329,p242]) ).

cnf(p372,plain,
    ( empty_set != empty_set
    | quasi_total(sk20,empty_set,sk19)
    | sk19 = empty_set ),
    inference(demodulation,[status(thm)],[p369,p338]) ).

cnf(p402,plain,
    ( empty_set != empty_set
    | quasi_total(empty_set,empty_set,sk19)
    | sk19 = empty_set ),
    inference(demodulation,[status(thm)],[p383,p372]) ).

cnf(p426,plain,
    ( quasi_total(empty_set,empty_set,sk19)
    | sk19 = empty_set ),
    inference(equality_resolution,[status(thm)],[p402]) ).

cnf(p330,plain,
    ( ~ relation_of2_as_subset(sk20,empty_set,sk19)
    | ~ quasi_total(sk20,empty_set,sk19) ),
    inference(demodulation,[status(thm)],[p329,p91]) ).

cnf(p384,plain,
    ( ~ relation_of2_as_subset(empty_set,empty_set,sk19)
    | ~ quasi_total(empty_set,empty_set,sk19) ),
    inference(demodulation,[status(thm)],[p383,p330]) ).

cnf(p429,plain,
    ( ~ relation_of2_as_subset(empty_set,empty_set,sk19)
    | sk19 = empty_set ),
    inference(resolution,[status(thm)],[p426,p384]) ).

cnf(p332,plain,
    relation_of2_as_subset(sk20,empty_set,sk19),
    inference(demodulation,[status(thm)],[p329,p229]) ).

cnf(p385,plain,
    relation_of2_as_subset(empty_set,empty_set,sk19),
    inference(demodulation,[status(thm)],[p383,p332]) ).

cnf(p430,plain,
    sk19 = empty_set,
    inference(resolution,[status(thm)],[p429,p385]) ).

cnf(p432,plain,
    ( ~ relation_of2_as_subset(empty_set,empty_set,empty_set)
    | ~ quasi_total(empty_set,empty_set,empty_set) ),
    inference(demodulation,[status(thm)],[p430,p384]) ).

cnf(p288,plain,
    quasi_total(sk20,sk17,empty_set),
    inference(demodulation,[status(thm)],[p287,c85]) ).

cnf(p349,plain,
    quasi_total(sk20,empty_set,empty_set),
    inference(demodulation,[status(thm)],[p329,p288]) ).

cnf(p390,plain,
    quasi_total(empty_set,empty_set,empty_set),
    inference(demodulation,[status(thm)],[p383,p349]) ).

cnf(p433,plain,
    ~ relation_of2_as_subset(empty_set,empty_set,empty_set),
    inference(resolution,[status(thm)],[p432,p390]) ).

cnf(p289,plain,
    relation_of2_as_subset(sk20,sk17,empty_set),
    inference(demodulation,[status(thm)],[p287,c86]) ).

cnf(p350,plain,
    relation_of2_as_subset(sk20,empty_set,empty_set),
    inference(demodulation,[status(thm)],[p329,p289]) ).

cnf(p391,plain,
    relation_of2_as_subset(empty_set,empty_set,empty_set),
    inference(demodulation,[status(thm)],[p383,p350]) ).

cnf(p435,plain,
    $false,
    inference(resolution,[status(thm)],[p433,p391]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU291+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.35  % Computer : n006.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Thu Sep 24 13:33:56 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 17.39/2.69  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.39/2.69  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------