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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : GRP126-3.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n015.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 122.40s 18.27s
% Output   : Proof 122.40s
% 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(f37,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(f37_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)],[f37]) ).

fof(f37_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)],[f37_nnf]) ).

cnf(c37,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)],[f37_sk]) ).

cnf(f23,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).

fof(f23_nnf,plain,
    group_element(e_3),
    inference(nnf_transformation,[status(thm)],[f23]) ).

cnf(c23,plain,
    group_element(e_3),
    inference(cnf_transformation,[status(esa)],[f23_nnf]) ).

cnf(p67,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)],[c37,c23]) ).

cnf(f22,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).

fof(f22_nnf,plain,
    group_element(e_2),
    inference(nnf_transformation,[status(thm)],[f22]) ).

cnf(c22,plain,
    group_element(e_2),
    inference(cnf_transformation,[status(esa)],[f22_nnf]) ).

cnf(p135,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)],[p67,c22]) ).

cnf(p66,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)],[c37,c22]) ).

cnf(p123,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)],[p66,c23]) ).

cnf(f42,negated_conjecture,
    ( product(Z1,Z2,Y)
    | ~ product(Y,X,Z2)
    | ~ product(X,Y,Z1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg4) ).

fof(f42_nnf,plain,
    ! [X,Y,Z1,Z2] :
      ( product(Z1,Z2,Y)
      | ~ product(Y,X,Z2)
      | ~ product(X,Y,Z1) ),
    inference(nnf_transformation,[status(thm)],[f42]) ).

fof(f42_sk,plain,
    ! [X,Y,Z1,Z2] :
      ( product(Z1,Z2,Y)
      | ~ product(Y,X,Z2)
      | ~ product(X,Y,Z1) ),
    inference(skolemisation,[status(esa)],[f42_nnf]) ).

cnf(c42,plain,
    ( product(X2,X3,X1)
    | ~ product(X1,X0,X3)
    | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f42_sk]) ).

cnf(p342,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)],[p123,c42]) ).

cnf(p439,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)],[p135,p342]) ).

cnf(p43,plain,
    ( product(X1,X1,X0)
    | ~ product(X0,X0,X1) ),
    inference(factoring,[status(thm)],[c42]) ).

cnf(p502,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)],[p439,p43]) ).

cnf(f38,axiom,
    ( equalish(W,Z)
    | ~ product(X,Y,Z)
    | ~ product(X,Y,W) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).

fof(f38_nnf,plain,
    ! [X,Y,W,Z] :
      ( equalish(W,Z)
      | ~ product(X,Y,Z)
      | ~ product(X,Y,W) ),
    inference(nnf_transformation,[status(thm)],[f38]) ).

fof(f38_sk,plain,
    ! [X,Y,W,Z] :
      ( equalish(W,Z)
      | ~ product(X,Y,Z)
      | ~ product(X,Y,W) ),
    inference(skolemisation,[status(esa)],[f38_nnf]) ).

cnf(c38,plain,
    ( equalish(X2,X3)
    | ~ product(X0,X1,X3)
    | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f38_sk]) ).

cnf(f41,axiom,
    product(X,X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).

fof(f41_nnf,plain,
    ! [X] : product(X,X,X),
    inference(nnf_transformation,[status(thm)],[f41]) ).

fof(f41_sk,plain,
    ! [X] : product(X,X,X),
    inference(skolemisation,[status(esa)],[f41_nnf]) ).

cnf(c41,plain,
    product(X0,X0,X0),
    inference(cnf_transformation,[status(esa)],[f41_sk]) ).

cnf(p62,plain,
    ( equalish(X0,X1)
    | ~ product(X0,X0,X1) ),
    inference(resolution,[status(thm)],[c38,c41]) ).

cnf(p589,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)],[p502,p62]) ).

cnf(f39,axiom,
    ( equalish(W,Z)
    | ~ product(X,Z,Y)
    | ~ product(X,W,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).

fof(f39_nnf,plain,
    ! [X,W,Y,Z] :
      ( equalish(W,Z)
      | ~ product(X,Z,Y)
      | ~ product(X,W,Y) ),
    inference(nnf_transformation,[status(thm)],[f39]) ).

fof(f39_sk,plain,
    ! [X,W,Y,Z] :
      ( equalish(W,Z)
      | ~ product(X,Z,Y)
      | ~ product(X,W,Y) ),
    inference(skolemisation,[status(esa)],[f39_nnf]) ).

cnf(c39,plain,
    ( equalish(X1,X3)
    | ~ product(X0,X3,X2)
    | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f39_sk]) ).

cnf(p69,plain,
    ( equalish(X0,X1)
    | ~ product(X0,X1,X0) ),
    inference(resolution,[status(thm)],[c39,c41]) ).

cnf(p596,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)],[p589,p69]) ).

cnf(f40,axiom,
    ( equalish(W,Z)
    | ~ product(Z,Y,X)
    | ~ product(W,Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).

fof(f40_nnf,plain,
    ! [W,Y,X,Z] :
      ( equalish(W,Z)
      | ~ product(Z,Y,X)
      | ~ product(W,Y,X) ),
    inference(nnf_transformation,[status(thm)],[f40]) ).

fof(f40_sk,plain,
    ! [W,Y,X,Z] :
      ( equalish(W,Z)
      | ~ product(Z,Y,X)
      | ~ product(W,Y,X) ),
    inference(skolemisation,[status(esa)],[f40_nnf]) ).

cnf(c40,plain,
    ( equalish(X0,X3)
    | ~ product(X3,X1,X2)
    | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f40_sk]) ).

cnf(p604,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)],[p596,c40]) ).

cnf(p806,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)],[p604,c41]) ).

cnf(p808,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)],[p806]) ).

cnf(p809,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)],[p808,c42]) ).

cnf(p822,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)],[p809,p123]) ).

cnf(p2821,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)],[p822]) ).

cnf(p9527,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)],[p2821]) ).

cnf(p9529,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)],[p9527]) ).

cnf(p70,plain,
    ( equalish(X1,X0)
    | ~ product(X0,X1,X1) ),
    inference(resolution,[status(thm)],[c40,c41]) ).

cnf(p9534,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)],[p9529,p70]) ).

cnf(p9544,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)],[p9534]) ).

cnf(p9547,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)],[p9544,c39]) ).

cnf(p9585,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)],[p9547,c41]) ).

cnf(p9587,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)],[p9585]) ).

cnf(p9588,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)],[p9587,c42]) ).

cnf(p9618,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)],[p9588,p135]) ).

cnf(p9637,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)],[p9618,p69]) ).

cnf(p9647,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)],[p9637]) ).

cnf(p9651,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)],[p9647,c40]) ).

cnf(p9704,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)],[p9651,c41]) ).

cnf(p9706,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)],[p9704]) ).

cnf(p9710,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)],[p9706,c40]) ).

cnf(p9717,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)],[p9710]) ).

cnf(f24,axiom,
    group_element(e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).

fof(f24_nnf,plain,
    group_element(e_4),
    inference(nnf_transformation,[status(thm)],[f24]) ).

cnf(c24,plain,
    group_element(e_4),
    inference(cnf_transformation,[status(esa)],[f24_nnf]) ).

cnf(p68,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)],[c37,c24]) ).

cnf(p147,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)],[p68,c22]) ).

cnf(p679,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)],[p147,p69]) ).

cnf(p124,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)],[p66,c24]) ).

cnf(p358,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)],[p124,p70]) ).

cnf(p1032,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)],[p358,c42]) ).

cnf(p2060,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)],[p679,p1032]) ).

cnf(p2077,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)],[p2060]) ).

cnf(p2081,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)],[p2077,c40]) ).

cnf(p2196,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)],[p2081,c41]) ).

cnf(p2197,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)],[p2196]) ).

cnf(p9724,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)],[p9717,p2197]) ).

cnf(p10192,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)],[p9724,p62]) ).

cnf(p10197,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)],[p10192]) ).

cnf(p10204,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)],[p10197,c39]) ).

cnf(p10230,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)],[p10204,c41]) ).

cnf(p10236,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)],[p10230]) ).

cnf(p9590,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)],[p9587,c39]) ).

cnf(p9598,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)],[p9590]) ).

cnf(p10246,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)],[p10236,p9598]) ).

cnf(p10256,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)],[p10246]) ).

cnf(p10257,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)],[p10256]) ).

cnf(p10264,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)],[p10257]) ).

cnf(p1035,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)],[p358,c40]) ).

cnf(p10272,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)],[p10264,p1035]) ).

cnf(p10309,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)],[p10272]) ).

cnf(p10312,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)],[p10309,c39]) ).

cnf(p10364,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)],[p10312,c41]) ).

cnf(p10365,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)],[p10364]) ).

cnf(p10377,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)],[p10365,p9598]) ).

cnf(p10397,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)],[p10377]) ).

cnf(p10398,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)],[p10397]) ).

cnf(p10400,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)],[p10398]) ).

cnf(p2198,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)],[p2197,c42]) ).

cnf(p2234,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)],[p2198,p358]) ).

cnf(p3528,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)],[p2234]) ).

cnf(p3531,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)],[p3528]) ).

cnf(p3532,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)],[p3531]) ).

cnf(p3534,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)],[p3532,p43]) ).

cnf(p3570,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)],[p3534,c40]) ).

cnf(p3736,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)],[p3570]) ).

cnf(p3743,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)],[p3736,p358]) ).

cnf(p4323,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)],[p3743]) ).

cnf(p4326,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)],[p4323]) ).

cnf(p4327,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)],[p4326]) ).

cnf(p4330,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)],[p4327,c39]) ).

cnf(p4365,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)],[p4330,c41]) ).

cnf(p4366,plain,
    ( product(e_1,e_3,e_2)
    | product(e_2,e_4,e_1)
    | equalish(e_4,e_2) ),
    inference(factoring,[status(thm)],[p4365]) ).

cnf(p4367,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)],[p4366,c42]) ).

cnf(p4394,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)],[p4367,p679]) ).

cnf(p4440,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)],[p4394]) ).

cnf(p4444,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)],[p4440,c40]) ).

cnf(p4524,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)],[p4444,c41]) ).

cnf(p4525,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)],[p4524]) ).

cnf(p812,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)],[p808,c40]) ).

cnf(p819,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)],[p812]) ).

cnf(p4531,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)],[p4525,p819]) ).

cnf(p5714,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)],[p4531,p70]) ).

cnf(p5720,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)],[p5714]) ).

cnf(p5724,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)],[p5720,c39]) ).

cnf(p5810,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)],[p5724,c41]) ).

cnf(p5811,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)],[p5810]) ).

cnf(p5814,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)],[p5811,c39]) ).

cnf(p5826,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)],[p5814]) ).

cnf(p5830,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)],[p5826,p4366]) ).

cnf(p5836,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)],[p5830]) ).

cnf(p5837,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)],[p5836]) ).

cnf(p345,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)],[p123,c40]) ).

cnf(p5844,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)],[p5837,p345]) ).

cnf(p5905,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)],[p5844,p70]) ).

cnf(p5913,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)],[p5905]) ).

cnf(p5916,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)],[p5913,c39]) ).

cnf(p5971,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)],[p5916,c41]) ).

cnf(p5972,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)],[p5971]) ).

cnf(p5975,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)],[p5972,c39]) ).

cnf(p5980,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)],[p5975]) ).

cnf(p5984,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)],[p5980,p4366]) ).

cnf(p5990,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)],[p5984]) ).

cnf(p5991,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)],[p5990]) ).

cnf(p5994,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)],[p5991,c39]) ).

cnf(p6009,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)],[p5994]) ).

cnf(p10415,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)],[p10400,p6009]) ).

cnf(p10466,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)],[p10415]) ).

cnf(p10470,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)],[p10466]) ).

cnf(p10473,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)],[p10470]) ).

cnf(p10478,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)],[p10473]) ).

cnf(f35,axiom,
    ~ equalish(e_4,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).

fof(f35_nnf,plain,
    ~ equalish(e_4,e_2),
    inference(nnf_transformation,[status(thm)],[f35]) ).

fof(f35_sk,plain,
    ~ equalish(e_4,e_2),
    inference(skolemisation,[status(esa)],[f35_nnf]) ).

cnf(c35,plain,
    ~ equalish(e_4,e_2),
    inference(cnf_transformation,[status(esa)],[f35_sk]) ).

cnf(p10479,plain,
    ( equalish(e_2,e_1)
    | equalish(e_3,e_2)
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[p10478,c35]) ).

cnf(f33,axiom,
    ~ equalish(e_3,e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).

fof(f33_nnf,plain,
    ~ equalish(e_3,e_4),
    inference(nnf_transformation,[status(thm)],[f33]) ).

fof(f33_sk,plain,
    ~ equalish(e_3,e_4),
    inference(skolemisation,[status(esa)],[f33_nnf]) ).

cnf(c33,plain,
    ~ equalish(e_3,e_4),
    inference(cnf_transformation,[status(esa)],[f33_sk]) ).

cnf(p10480,plain,
    ( equalish(e_2,e_1)
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[p10479,c33]) ).

cnf(f32,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).

fof(f32_nnf,plain,
    ~ equalish(e_3,e_2),
    inference(nnf_transformation,[status(thm)],[f32]) ).

fof(f32_sk,plain,
    ~ equalish(e_3,e_2),
    inference(skolemisation,[status(esa)],[f32_nnf]) ).

cnf(c32,plain,
    ~ equalish(e_3,e_2),
    inference(cnf_transformation,[status(esa)],[f32_sk]) ).

cnf(p10481,plain,
    equalish(e_2,e_1),
    inference(resolution,[status(thm)],[p10480,c32]) ).

cnf(f28,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).

fof(f28_nnf,plain,
    ~ equalish(e_2,e_1),
    inference(nnf_transformation,[status(thm)],[f28]) ).

fof(f28_sk,plain,
    ~ equalish(e_2,e_1),
    inference(skolemisation,[status(esa)],[f28_nnf]) ).

cnf(c28,plain,
    ~ equalish(e_2,e_1),
    inference(cnf_transformation,[status(esa)],[f28_sk]) ).

cnf(p10485,plain,
    $false,
    inference(resolution,[status(thm)],[p10481,c28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP126-3.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.35  % Computer : n015.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Wed Sep 23 13:44:54 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 122.40/18.27  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 122.40/18.27  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------