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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : GRP126-1.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n007.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 01:25:18 PM UTC 2026

% Result   : Unsatisfiable 18.85s 21.73s
% Output   : Proof 18.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   66
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  174 (  31 unt;   0 def)
%            Number of atoms       :  829 (   0 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :  750 (  95   ~; 655   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :  112 (   0 sgn  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(f16,axiom,
    ( product(X,Y,e_4)
    | product(X,Y,e_3)
    | product(X,Y,e_2)
    | product(X,Y,e_1)
    | ~ group_element(Y)
    | ~ group_element(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).

fof(f16_nnf,plain,
    ! [X,Y] :
      ( product(X,Y,e_4)
      | product(X,Y,e_3)
      | product(X,Y,e_2)
      | product(X,Y,e_1)
      | ~ group_element(Y)
      | ~ group_element(X) ),
    inference(nnf_transformation,[status(thm)],[f16]) ).

fof(f16_sk,plain,
    ! [X,Y] :
      ( product(X,Y,e_4)
      | product(X,Y,e_3)
      | product(X,Y,e_2)
      | product(X,Y,e_1)
      | ~ group_element(Y)
      | ~ group_element(X) ),
    inference(skolemisation,[status(esa)],[f16_nnf]) ).

cnf(c16,plain,
    ( product(X0,X1,e_4)
    | product(X0,X1,e_3)
    | product(X0,X1,e_2)
    | product(X0,X1,e_1)
    | ~ group_element(X1)
    | ~ group_element(X0) ),
    inference(cnf_transformation,[status(esa)],[f16_sk]) ).

cnf(f2,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).

fof(f2_nnf,plain,
    group_element(e_3),
    inference(nnf_transformation,[status(thm)],[f2]) ).

cnf(c2,plain,
    group_element(e_3),
    inference(cnf_transformation,[status(esa)],[f2_nnf]) ).

cnf(p27,plain,
    ( product(e_3,X0,e_4)
    | product(e_3,X0,e_3)
    | product(e_3,X0,e_2)
    | product(e_3,X0,e_1)
    | ~ group_element(X0) ),
    inference(resolution,[status(thm)],[c16,c2]) ).

cnf(f1,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).

fof(f1_nnf,plain,
    group_element(e_2),
    inference(nnf_transformation,[status(thm)],[f1]) ).

cnf(c1,plain,
    group_element(e_2),
    inference(cnf_transformation,[status(esa)],[f1_nnf]) ).

cnf(p58,plain,
    ( product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1) ),
    inference(resolution,[status(thm)],[p27,c1]) ).

cnf(p26,plain,
    ( product(e_2,X0,e_4)
    | product(e_2,X0,e_3)
    | product(e_2,X0,e_2)
    | product(e_2,X0,e_1)
    | ~ group_element(X0) ),
    inference(resolution,[status(thm)],[c16,c1]) ).

cnf(p46,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(resolution,[status(thm)],[p26,c2]) ).

cnf(f21,negated_conjecture,
    ( product(Z1,Z2,Y)
    | ~ product(Y,X,Z2)
    | ~ product(X,Y,Z1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg4) ).

fof(f21_nnf,plain,
    ! [X,Y,Z1,Z2] :
      ( product(Z1,Z2,Y)
      | ~ product(Y,X,Z2)
      | ~ product(X,Y,Z1) ),
    inference(nnf_transformation,[status(thm)],[f21]) ).

fof(f21_sk,plain,
    ! [X,Y,Z1,Z2] :
      ( product(Z1,Z2,Y)
      | ~ product(Y,X,Z2)
      | ~ product(X,Y,Z1) ),
    inference(skolemisation,[status(esa)],[f21_nnf]) ).

cnf(c21,plain,
    ( product(X2,X3,X1)
    | ~ product(X1,X0,X3)
    | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f21_sk]) ).

cnf(p137,plain,
    ( product(e_4,X0,e_3)
    | ~ product(e_3,e_2,X0)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(resolution,[status(thm)],[p46,c21]) ).

cnf(p205,plain,
    ( product(e_4,e_4,e_3)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1) ),
    inference(resolution,[status(thm)],[p58,p137]) ).

cnf(p22,plain,
    ( product(X1,X1,X0)
    | ~ product(X0,X0,X1) ),
    inference(factoring,[status(thm)],[c21]) ).

cnf(p259,plain,
    ( product(e_3,e_3,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1) ),
    inference(resolution,[status(thm)],[p205,p22]) ).

cnf(f17,axiom,
    ( equalish(W,Z)
    | ~ product(X,Y,Z)
    | ~ product(X,Y,W) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).

fof(f17_nnf,plain,
    ! [X,Y,W,Z] :
      ( equalish(W,Z)
      | ~ product(X,Y,Z)
      | ~ product(X,Y,W) ),
    inference(nnf_transformation,[status(thm)],[f17]) ).

fof(f17_sk,plain,
    ! [X,Y,W,Z] :
      ( equalish(W,Z)
      | ~ product(X,Y,Z)
      | ~ product(X,Y,W) ),
    inference(skolemisation,[status(esa)],[f17_nnf]) ).

cnf(c17,plain,
    ( equalish(X2,X3)
    | ~ product(X0,X1,X3)
    | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f17_sk]) ).

cnf(f20,axiom,
    product(X,X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).

fof(f20_nnf,plain,
    ! [X] : product(X,X,X),
    inference(nnf_transformation,[status(thm)],[f20]) ).

fof(f20_sk,plain,
    ! [X] : product(X,X,X),
    inference(skolemisation,[status(esa)],[f20_nnf]) ).

cnf(c20,plain,
    product(X0,X0,X0),
    inference(cnf_transformation,[status(esa)],[f20_sk]) ).

cnf(p30,plain,
    ( equalish(X0,X1)
    | ~ product(X0,X0,X1) ),
    inference(resolution,[status(thm)],[c17,c20]) ).

cnf(p346,plain,
    ( equalish(e_3,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1) ),
    inference(resolution,[status(thm)],[p259,p30]) ).

cnf(f18,axiom,
    ( equalish(W,Z)
    | ~ product(X,Z,Y)
    | ~ product(X,W,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).

fof(f18_nnf,plain,
    ! [X,W,Y,Z] :
      ( equalish(W,Z)
      | ~ product(X,Z,Y)
      | ~ product(X,W,Y) ),
    inference(nnf_transformation,[status(thm)],[f18]) ).

fof(f18_sk,plain,
    ! [X,W,Y,Z] :
      ( equalish(W,Z)
      | ~ product(X,Z,Y)
      | ~ product(X,W,Y) ),
    inference(skolemisation,[status(esa)],[f18_nnf]) ).

cnf(c18,plain,
    ( equalish(X1,X3)
    | ~ product(X0,X3,X2)
    | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f18_sk]) ).

cnf(p32,plain,
    ( equalish(X0,X1)
    | ~ product(X0,X1,X0) ),
    inference(resolution,[status(thm)],[c18,c20]) ).

cnf(p363,plain,
    ( equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1) ),
    inference(resolution,[status(thm)],[p346,p32]) ).

cnf(f19,axiom,
    ( equalish(W,Z)
    | ~ product(Z,Y,X)
    | ~ product(W,Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).

fof(f19_nnf,plain,
    ! [W,Y,X,Z] :
      ( equalish(W,Z)
      | ~ product(Z,Y,X)
      | ~ product(W,Y,X) ),
    inference(nnf_transformation,[status(thm)],[f19]) ).

fof(f19_sk,plain,
    ! [W,Y,X,Z] :
      ( equalish(W,Z)
      | ~ product(Z,Y,X)
      | ~ product(W,Y,X) ),
    inference(skolemisation,[status(esa)],[f19_nnf]) ).

cnf(c19,plain,
    ( equalish(X0,X3)
    | ~ product(X3,X1,X2)
    | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f19_sk]) ).

cnf(p369,plain,
    ( equalish(e_3,X0)
    | ~ product(X0,e_2,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_2,e_1) ),
    inference(resolution,[status(thm)],[p363,c19]) ).

cnf(p557,plain,
    ( equalish(e_3,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_2,e_1) ),
    inference(resolution,[status(thm)],[p369,c20]) ).

cnf(p559,plain,
    ( equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_2,e_1) ),
    inference(factoring,[status(thm)],[p557]) ).

cnf(p560,plain,
    ( product(e_1,X0,e_2)
    | ~ product(e_2,e_3,X0)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(resolution,[status(thm)],[p559,c21]) ).

cnf(p577,plain,
    ( product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(resolution,[status(thm)],[p560,p46]) ).

cnf(p2718,plain,
    ( product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(factoring,[status(thm)],[p577]) ).

cnf(p8281,plain,
    ( product(e_2,e_3,e_3)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(factoring,[status(thm)],[p2718]) ).

cnf(p8283,plain,
    ( product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(factoring,[status(thm)],[p8281]) ).

cnf(p33,plain,
    ( equalish(X1,X0)
    | ~ product(X0,X1,X1) ),
    inference(resolution,[status(thm)],[c19,c20]) ).

cnf(p8288,plain,
    ( equalish(e_3,e_2)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(resolution,[status(thm)],[p8283,p33]) ).

cnf(p8298,plain,
    ( product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(factoring,[status(thm)],[p8288]) ).

cnf(p8310,plain,
    ( equalish(e_3,X0)
    | ~ product(e_2,X0,e_2)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_1) ),
    inference(resolution,[status(thm)],[p8298,c18]) ).

cnf(p8351,plain,
    ( equalish(e_3,e_2)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_1) ),
    inference(resolution,[status(thm)],[p8310,c20]) ).

cnf(p8354,plain,
    ( product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_1) ),
    inference(factoring,[status(thm)],[p8351]) ).

cnf(p8355,plain,
    ( product(e_1,X0,e_3)
    | ~ product(e_3,e_2,X0)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[p8354,c21]) ).

cnf(p8408,plain,
    ( product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[p8355,p58]) ).

cnf(p8425,plain,
    ( equalish(e_3,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[p8408,p32]) ).

cnf(p8437,plain,
    ( product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(factoring,[status(thm)],[p8425]) ).

cnf(p8441,plain,
    ( equalish(e_3,X0)
    | ~ product(X0,e_2,e_2)
    | product(e_3,e_2,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[p8437,c19]) ).

cnf(p8496,plain,
    ( equalish(e_3,e_2)
    | product(e_3,e_2,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[p8441,c20]) ).

cnf(p8498,plain,
    ( product(e_3,e_2,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(factoring,[status(thm)],[p8496]) ).

cnf(p8502,plain,
    ( equalish(e_3,X0)
    | ~ product(X0,e_2,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[p8498,c19]) ).

cnf(p8522,plain,
    ( ~ product(e_4,e_2,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(factoring,[status(thm)],[p8502]) ).

cnf(f3,axiom,
    group_element(e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).

fof(f3_nnf,plain,
    group_element(e_4),
    inference(nnf_transformation,[status(thm)],[f3]) ).

cnf(c3,plain,
    group_element(e_4),
    inference(cnf_transformation,[status(esa)],[f3_nnf]) ).

cnf(p28,plain,
    ( product(e_4,X0,e_4)
    | product(e_4,X0,e_3)
    | product(e_4,X0,e_2)
    | product(e_4,X0,e_1)
    | ~ group_element(X0) ),
    inference(resolution,[status(thm)],[c16,c3]) ).

cnf(p74,plain,
    ( product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1) ),
    inference(resolution,[status(thm)],[p28,c1]) ).

cnf(p352,plain,
    ( equalish(e_4,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1) ),
    inference(resolution,[status(thm)],[p74,p32]) ).

cnf(p47,plain,
    ( product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolution,[status(thm)],[p26,c3]) ).

cnf(p146,plain,
    ( equalish(e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolution,[status(thm)],[p47,p33]) ).

cnf(p612,plain,
    ( product(e_3,X0,e_4)
    | ~ product(e_4,e_2,X0)
    | equalish(e_4,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolution,[status(thm)],[p146,c21]) ).

cnf(p1418,plain,
    ( product(e_3,e_3,e_4)
    | equalish(e_4,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1) ),
    inference(resolution,[status(thm)],[p352,p612]) ).

cnf(p1434,plain,
    ( product(e_3,e_3,e_4)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1) ),
    inference(factoring,[status(thm)],[p1418]) ).

cnf(p1438,plain,
    ( equalish(e_4,X0)
    | ~ product(X0,e_2,e_2)
    | product(e_3,e_3,e_4)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2)
    | product(e_4,e_2,e_1) ),
    inference(resolution,[status(thm)],[p1434,c19]) ).

cnf(p1531,plain,
    ( equalish(e_4,e_2)
    | product(e_3,e_3,e_4)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2)
    | product(e_4,e_2,e_1) ),
    inference(resolution,[status(thm)],[p1438,c20]) ).

cnf(p1537,plain,
    ( product(e_3,e_3,e_4)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2)
    | product(e_4,e_2,e_1) ),
    inference(factoring,[status(thm)],[p1531]) ).

cnf(p8529,plain,
    ( product(e_3,e_3,e_4)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[p8522,p1537]) ).

cnf(p9048,plain,
    ( equalish(e_3,e_4)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[p8529,p30]) ).

cnf(p9052,plain,
    ( product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(factoring,[status(thm)],[p9048]) ).

cnf(p9117,plain,
    ( equalish(e_4,X0)
    | ~ product(e_2,X0,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[p9052,c18]) ).

cnf(p9445,plain,
    ( equalish(e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[p9117,c20]) ).

cnf(p9446,plain,
    ( product(e_2,e_4,e_1)
    | equalish(e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(factoring,[status(thm)],[p9445]) ).

cnf(p8357,plain,
    ( equalish(e_3,X0)
    | ~ product(e_2,X0,e_1)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[p8354,c18]) ).

cnf(p8386,plain,
    ( ~ product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(factoring,[status(thm)],[p8357]) ).

cnf(p9456,plain,
    ( product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | equalish(e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[p9446,p8386]) ).

cnf(p9490,plain,
    ( equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | equalish(e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(factoring,[status(thm)],[p9456]) ).

cnf(p9494,plain,
    ( equalish(e_3,e_2)
    | equalish(e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(factoring,[status(thm)],[p9490]) ).

cnf(p9496,plain,
    ( equalish(e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(factoring,[status(thm)],[p9494]) ).

cnf(p615,plain,
    ( equalish(e_2,X0)
    | ~ product(X0,e_4,e_3)
    | equalish(e_4,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolution,[status(thm)],[p146,c19]) ).

cnf(p9503,plain,
    ( equalish(e_2,e_1)
    | equalish(e_4,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[p9496,p615]) ).

cnf(p9535,plain,
    ( equalish(e_2,e_1)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(factoring,[status(thm)],[p9503]) ).

cnf(p9538,plain,
    ( equalish(e_4,X0)
    | ~ product(e_2,X0,e_2)
    | equalish(e_2,e_1)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[p9535,c18]) ).

cnf(p9703,plain,
    ( equalish(e_4,e_2)
    | equalish(e_2,e_1)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[p9538,c20]) ).

cnf(p9721,plain,
    ( equalish(e_2,e_1)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(factoring,[status(thm)],[p9703]) ).

cnf(p9730,plain,
    ( product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | equalish(e_2,e_1)
    | equalish(e_4,e_2)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[p9721,p8386]) ).

cnf(p9743,plain,
    ( equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | equalish(e_2,e_1)
    | equalish(e_4,e_2)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(factoring,[status(thm)],[p9730]) ).

cnf(p9745,plain,
    ( equalish(e_3,e_2)
    | equalish(e_2,e_1)
    | equalish(e_4,e_2)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(factoring,[status(thm)],[p9743]) ).

cnf(p9747,plain,
    ( equalish(e_2,e_1)
    | equalish(e_4,e_2)
    | product(e_1,e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(factoring,[status(thm)],[p9745]) ).

cnf(p1538,plain,
    ( product(e_1,X0,e_2)
    | ~ product(e_2,e_4,X0)
    | product(e_3,e_3,e_4)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p1537,c21]) ).

cnf(p1574,plain,
    ( equalish(e_4,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_3,e_3,e_4)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p1538,p146]) ).

cnf(p2796,plain,
    ( equalish(e_4,e_2)
    | product(e_2,e_4,e_2)
    | product(e_1,e_3,e_2)
    | product(e_3,e_3,e_4)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p1574]) ).

cnf(p2806,plain,
    ( equalish(e_4,e_2)
    | product(e_1,e_3,e_2)
    | product(e_3,e_3,e_4)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p2796]) ).

cnf(p2807,plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_4)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p2806]) ).

cnf(p2809,plain,
    ( product(e_4,e_4,e_3)
    | product(e_1,e_3,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p2807,p22]) ).

cnf(p2844,plain,
    ( equalish(e_4,X0)
    | ~ product(X0,e_4,e_3)
    | product(e_1,e_3,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p2809,c19]) ).

cnf(p3021,plain,
    ( ~ product(e_2,e_4,e_3)
    | product(e_1,e_3,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p2844]) ).

cnf(p3031,plain,
    ( equalish(e_4,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p3021,p146]) ).

cnf(p3558,plain,
    ( equalish(e_4,e_2)
    | product(e_2,e_4,e_2)
    | product(e_1,e_3,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p3031]) ).

cnf(p3561,plain,
    ( equalish(e_4,e_2)
    | product(e_1,e_3,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p3558]) ).

cnf(p3562,plain,
    ( product(e_1,e_3,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p3561]) ).

cnf(p3565,plain,
    ( equalish(e_4,X0)
    | ~ product(e_2,X0,e_2)
    | product(e_1,e_3,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p3562,c18]) ).

cnf(p3593,plain,
    ( equalish(e_4,e_2)
    | product(e_1,e_3,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p3565,c20]) ).

cnf(p3596,plain,
    ( product(e_1,e_3,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p3593]) ).

cnf(p3597,plain,
    ( product(e_1,X0,e_4)
    | ~ product(e_4,e_2,X0)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p3596,c21]) ).

cnf(p3621,plain,
    ( equalish(e_4,e_2)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p3597,p352]) ).

cnf(p3658,plain,
    ( product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p3621]) ).

cnf(p3662,plain,
    ( equalish(e_4,X0)
    | ~ product(X0,e_2,e_2)
    | product(e_4,e_2,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p3658,c19]) ).

cnf(p3730,plain,
    ( equalish(e_4,e_2)
    | product(e_4,e_2,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p3662,c20]) ).

cnf(p3733,plain,
    ( product(e_4,e_2,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p3730]) ).

cnf(p563,plain,
    ( equalish(e_3,X0)
    | ~ product(X0,e_2,e_1)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(resolution,[status(thm)],[p559,c19]) ).

cnf(p569,plain,
    ( ~ product(e_4,e_2,e_1)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(factoring,[status(thm)],[p563]) ).

cnf(p3739,plain,
    ( equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p3733,p569]) ).

cnf(p4727,plain,
    ( equalish(e_3,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p3739,p33]) ).

cnf(p4735,plain,
    ( equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p4727]) ).

cnf(p4738,plain,
    ( equalish(e_3,X0)
    | ~ product(e_2,X0,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p4735,c18]) ).

cnf(p4816,plain,
    ( equalish(e_3,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p4738,c20]) ).

cnf(p4817,plain,
    ( equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p4816]) ).

cnf(p4820,plain,
    ( equalish(e_3,X0)
    | ~ product(e_2,X0,e_1)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p4817,c18]) ).

cnf(p4827,plain,
    ( ~ product(e_2,e_4,e_1)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p4820]) ).

cnf(p4831,plain,
    ( product(e_1,e_3,e_2)
    | equalish(e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p4827,p3596]) ).

cnf(p4836,plain,
    ( equalish(e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p4831]) ).

cnf(p4839,plain,
    ( equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p4836]) ).

cnf(p140,plain,
    ( equalish(e_2,X0)
    | ~ product(X0,e_3,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(resolution,[status(thm)],[p46,c19]) ).

cnf(p4846,plain,
    ( equalish(e_2,e_1)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p4839,p140]) ).

cnf(p4902,plain,
    ( equalish(e_3,e_2)
    | equalish(e_2,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p4846,p33]) ).

cnf(p4904,plain,
    ( equalish(e_2,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p4902]) ).

cnf(p4910,plain,
    ( equalish(e_3,X0)
    | ~ product(e_2,X0,e_2)
    | equalish(e_2,e_1)
    | product(e_2,e_3,e_1)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p4904,c18]) ).

cnf(p4968,plain,
    ( equalish(e_3,e_2)
    | equalish(e_2,e_1)
    | product(e_2,e_3,e_1)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p4910,c20]) ).

cnf(p4981,plain,
    ( equalish(e_2,e_1)
    | product(e_2,e_3,e_1)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p4968]) ).

cnf(p4984,plain,
    ( equalish(e_3,X0)
    | ~ product(e_2,X0,e_1)
    | equalish(e_2,e_1)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p4981,c18]) ).

cnf(p4989,plain,
    ( ~ product(e_2,e_4,e_1)
    | equalish(e_2,e_1)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p4984]) ).

cnf(p5009,plain,
    ( product(e_1,e_3,e_2)
    | equalish(e_4,e_2)
    | equalish(e_2,e_1)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p4989,p3596]) ).

cnf(p5014,plain,
    ( equalish(e_4,e_2)
    | equalish(e_2,e_1)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p5009]) ).

cnf(p5021,plain,
    ( equalish(e_2,e_1)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | product(e_1,e_3,e_2)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p5014]) ).

cnf(p5024,plain,
    ( equalish(e_3,X0)
    | ~ product(e_1,X0,e_2)
    | equalish(e_2,e_1)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[p5021,c18]) ).

cnf(p5032,plain,
    ( ~ product(e_1,e_4,e_2)
    | equalish(e_2,e_1)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p5024]) ).

cnf(p9761,plain,
    ( equalish(e_2,e_1)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4)
    | equalish(e_4,e_2)
    | equalish(e_2,e_1)
    | equalish(e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[p9747,p5032]) ).

cnf(p9827,plain,
    ( equalish(e_2,e_1)
    | equalish(e_3,e_2)
    | equalish(e_4,e_2)
    | equalish(e_2,e_1)
    | equalish(e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(factoring,[status(thm)],[p9761]) ).

cnf(p9831,plain,
    ( equalish(e_2,e_1)
    | equalish(e_4,e_2)
    | equalish(e_2,e_1)
    | equalish(e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(factoring,[status(thm)],[p9827]) ).

cnf(p9834,plain,
    ( equalish(e_2,e_1)
    | equalish(e_2,e_1)
    | equalish(e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(factoring,[status(thm)],[p9831]) ).

cnf(p9836,plain,
    ( equalish(e_2,e_1)
    | equalish(e_4,e_2)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(factoring,[status(thm)],[p9834]) ).

cnf(f14,axiom,
    ~ equalish(e_4,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).

fof(f14_nnf,plain,
    ~ equalish(e_4,e_2),
    inference(nnf_transformation,[status(thm)],[f14]) ).

fof(f14_sk,plain,
    ~ equalish(e_4,e_2),
    inference(skolemisation,[status(esa)],[f14_nnf]) ).

cnf(c14,plain,
    ~ equalish(e_4,e_2),
    inference(cnf_transformation,[status(esa)],[f14_sk]) ).

cnf(p9840,plain,
    ( equalish(e_2,e_1)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[p9836,c14]) ).

cnf(f12,axiom,
    ~ equalish(e_3,e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).

fof(f12_nnf,plain,
    ~ equalish(e_3,e_4),
    inference(nnf_transformation,[status(thm)],[f12]) ).

fof(f12_sk,plain,
    ~ equalish(e_3,e_4),
    inference(skolemisation,[status(esa)],[f12_nnf]) ).

cnf(c12,plain,
    ~ equalish(e_3,e_4),
    inference(cnf_transformation,[status(esa)],[f12_sk]) ).

cnf(p9841,plain,
    ( equalish(e_2,e_1)
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[p9840,c12]) ).

cnf(f11,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).

fof(f11_nnf,plain,
    ~ equalish(e_3,e_2),
    inference(nnf_transformation,[status(thm)],[f11]) ).

fof(f11_sk,plain,
    ~ equalish(e_3,e_2),
    inference(skolemisation,[status(esa)],[f11_nnf]) ).

cnf(c11,plain,
    ~ equalish(e_3,e_2),
    inference(cnf_transformation,[status(esa)],[f11_sk]) ).

cnf(p9842,plain,
    equalish(e_2,e_1),
    inference(resolution,[status(thm)],[p9841,c11]) ).

cnf(f7,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).

fof(f7_nnf,plain,
    ~ equalish(e_2,e_1),
    inference(nnf_transformation,[status(thm)],[f7]) ).

fof(f7_sk,plain,
    ~ equalish(e_2,e_1),
    inference(skolemisation,[status(esa)],[f7_nnf]) ).

cnf(c7,plain,
    ~ equalish(e_2,e_1),
    inference(cnf_transformation,[status(esa)],[f7_sk]) ).

cnf(p9843,plain,
    $false,
    inference(resolution,[status(thm)],[p9842,c7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP126-1.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.36  % Computer : n007.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Wed Sep 23 13:38:36 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 18.85/21.73  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.85/21.73  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------