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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : LAT005-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n008.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 01:54:58 PM UTC 2026

% Result   : Unsatisfiable 5.32s 1.29s
% Output   : Proof 5.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  136 ( 112 unt;   0 def)
%            Number of atoms       :  200 (  48 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  134 (  70   ~;  64   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;  13 con; 0-4 aty)
%            Number of variables   :  190 (  12 sgn  76   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(f11,axiom,
    ( join(Y,X,Z)
    | ~ join(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).

fof(f11_nnf,plain,
    ! [X,Y,Z] :
      ( join(Y,X,Z)
      | ~ join(X,Y,Z) ),
    inference(nnf_transformation,[status(thm)],[f11]) ).

fof(f11_sk,plain,
    ! [X,Y,Z] :
      ( join(Y,X,Z)
      | ~ join(X,Y,Z) ),
    inference(skolemisation,[status(esa)],[f11_nnf]) ).

cnf(c11,plain,
    ( join(X1,X0,X2)
    | ~ join(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f11_sk]) ).

cnf(hi11,axiom,
    ifeq(join(X0,X1,X2),true,join(X1,X0,X2),true) = true,
    inference(equality_encoding,[status(esa)],[c11]) ).

cnf(f26,negated_conjecture,
    join(c2,r1,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_c2_and_r1) ).

fof(f26_nnf,plain,
    join(c2,r1,n1),
    inference(nnf_transformation,[status(thm)],[f26]) ).

cnf(c26,plain,
    join(c2,r1,n1),
    inference(cnf_transformation,[status(esa)],[f26_nnf]) ).

cnf(hi25,negated_conjecture,
    join(c2,r1,n1) = true,
    inference(equality_encoding,[status(esa)],[c26]) ).

cnf(h47,plain,
    join(r1,c2,n1) = true,
    inference(hyper_resolution,[status(thm)],[hi11,hi25]) ).

cnf(f18,axiom,
    ( join(X,Y1,Z1)
    | ~ meet(Z,X1,Z1)
    | ~ meet(Y,Z,Y1)
    | ~ join(X,Y,X1)
    | ~ meet(X,Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modularity1) ).

fof(f18_nnf,plain,
    ! [X,Z,Y,X1,Y1,Z1] :
      ( join(X,Y1,Z1)
      | ~ meet(Z,X1,Z1)
      | ~ meet(Y,Z,Y1)
      | ~ join(X,Y,X1)
      | ~ meet(X,Z,X) ),
    inference(nnf_transformation,[status(thm)],[f18]) ).

fof(f18_sk,plain,
    ! [X,Z,Y,X1,Y1,Z1] :
      ( join(X,Y1,Z1)
      | ~ meet(Z,X1,Z1)
      | ~ meet(Y,Z,Y1)
      | ~ join(X,Y,X1)
      | ~ meet(X,Z,X) ),
    inference(skolemisation,[status(esa)],[f18_nnf]) ).

cnf(c18,plain,
    ( join(X0,X4,X5)
    | ~ meet(X1,X3,X5)
    | ~ meet(X2,X1,X4)
    | ~ join(X0,X2,X3)
    | ~ meet(X0,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f18_sk]) ).

cnf(hi18,axiom,
    ifeq(meet(X0,X1,X0),true,ifeq(join(X0,X2,X3),true,ifeq(meet(X2,X1,X4),true,ifeq(meet(X1,X3,X5),true,join(X0,X4,X5),true),true),true),true) = true,
    inference(equality_encoding,[status(esa)],[c18]) ).

cnf(f7,axiom,
    meet(X,X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_x_and_x) ).

fof(f7_nnf,plain,
    ! [X] : meet(X,X,X),
    inference(nnf_transformation,[status(thm)],[f7]) ).

fof(f7_sk,plain,
    ! [X] : meet(X,X,X),
    inference(skolemisation,[status(esa)],[f7_nnf]) ).

cnf(c7,plain,
    meet(X0,X0,X0),
    inference(cnf_transformation,[status(esa)],[f7_sk]) ).

cnf(hi7,axiom,
    meet(X0,X0,X0) = true,
    inference(equality_encoding,[status(esa)],[c7]) ).

cnf(f27,negated_conjecture,
    meet(c2,r1,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_c2_and_r1) ).

fof(f27_nnf,plain,
    meet(c2,r1,n0),
    inference(nnf_transformation,[status(thm)],[f27]) ).

cnf(c27,plain,
    meet(c2,r1,n0),
    inference(cnf_transformation,[status(esa)],[f27_nnf]) ).

cnf(hi26,negated_conjecture,
    meet(c2,r1,n0) = true,
    inference(equality_encoding,[status(esa)],[c27]) ).

cnf(f9,axiom,
    meet(X,n1,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_x_and_1) ).

fof(f9_nnf,plain,
    ! [X] : meet(X,n1,X),
    inference(nnf_transformation,[status(thm)],[f9]) ).

fof(f9_sk,plain,
    ! [X] : meet(X,n1,X),
    inference(skolemisation,[status(esa)],[f9_nnf]) ).

cnf(c9,plain,
    meet(X0,n1,X0),
    inference(cnf_transformation,[status(esa)],[f9_sk]) ).

cnf(hi9,axiom,
    meet(X0,n1,X0) = true,
    inference(equality_encoding,[status(esa)],[c9]) ).

cnf(h142,plain,
    join(r1,n0,r1) = true,
    inference(hyper_resolution,[status(thm)],[hi18,hi7,h47,hi26,hi9]) ).

cnf(f14,axiom,
    ( meet(Xy,Z,Xyz)
    | ~ meet(X,Yz,Xyz)
    | ~ meet(Y,Z,Yz)
    | ~ meet(X,Y,Xy) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet1) ).

fof(f14_nnf,plain,
    ! [X,Y,Xy,Z,Yz,Xyz] :
      ( meet(Xy,Z,Xyz)
      | ~ meet(X,Yz,Xyz)
      | ~ meet(Y,Z,Yz)
      | ~ meet(X,Y,Xy) ),
    inference(nnf_transformation,[status(thm)],[f14]) ).

fof(f14_sk,plain,
    ! [X,Y,Xy,Z,Yz,Xyz] :
      ( meet(Xy,Z,Xyz)
      | ~ meet(X,Yz,Xyz)
      | ~ meet(Y,Z,Yz)
      | ~ meet(X,Y,Xy) ),
    inference(skolemisation,[status(esa)],[f14_nnf]) ).

cnf(c14,plain,
    ( meet(X2,X3,X5)
    | ~ meet(X0,X4,X5)
    | ~ meet(X1,X3,X4)
    | ~ meet(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f14_sk]) ).

cnf(hi14,axiom,
    ifeq(meet(X0,X1,X2),true,ifeq(meet(X1,X3,X4),true,ifeq(meet(X0,X4,X5),true,meet(X2,X3,X5),true),true),true) = true,
    inference(equality_encoding,[status(esa)],[c14]) ).

cnf(f23,negated_conjecture,
    meet(c,r2,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_c_and_r2) ).

fof(f23_nnf,plain,
    meet(c,r2,n0),
    inference(nnf_transformation,[status(thm)],[f23]) ).

cnf(c23,plain,
    meet(c,r2,n0),
    inference(cnf_transformation,[status(esa)],[f23_nnf]) ).

cnf(hi22,negated_conjecture,
    meet(c,r2,n0) = true,
    inference(equality_encoding,[status(esa)],[c23]) ).

cnf(h22,plain,
    meet(n0,r2,n0) = true,
    inference(hyper_resolution,[status(thm)],[hi14,hi22,hi7,hi22]) ).

cnf(f19,axiom,
    ( meet(Z,X1,Z1)
    | ~ join(X,Y1,Z1)
    | ~ meet(Y,Z,Y1)
    | ~ join(X,Y,X1)
    | ~ meet(X,Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modularity2) ).

fof(f19_nnf,plain,
    ! [X,Z,Y,X1,Y1,Z1] :
      ( meet(Z,X1,Z1)
      | ~ join(X,Y1,Z1)
      | ~ meet(Y,Z,Y1)
      | ~ join(X,Y,X1)
      | ~ meet(X,Z,X) ),
    inference(nnf_transformation,[status(thm)],[f19]) ).

fof(f19_sk,plain,
    ! [X,Z,Y,X1,Y1,Z1] :
      ( meet(Z,X1,Z1)
      | ~ join(X,Y1,Z1)
      | ~ meet(Y,Z,Y1)
      | ~ join(X,Y,X1)
      | ~ meet(X,Z,X) ),
    inference(skolemisation,[status(esa)],[f19_nnf]) ).

cnf(c19,plain,
    ( meet(X1,X3,X5)
    | ~ join(X0,X4,X5)
    | ~ meet(X2,X1,X4)
    | ~ join(X0,X2,X3)
    | ~ meet(X0,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f19_sk]) ).

cnf(hi19,axiom,
    ifeq(meet(X0,X1,X0),true,ifeq(join(X0,X2,X3),true,ifeq(meet(X2,X1,X4),true,ifeq(join(X0,X4,X5),true,meet(X1,X3,X5),true),true),true),true) = true,
    inference(equality_encoding,[status(esa)],[c19]) ).

cnf(f5,axiom,
    meet(n0,X,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_0_and_x) ).

fof(f5_nnf,plain,
    ! [X] : meet(n0,X,n0),
    inference(nnf_transformation,[status(thm)],[f5]) ).

fof(f5_sk,plain,
    ! [X] : meet(n0,X,n0),
    inference(skolemisation,[status(esa)],[f5_nnf]) ).

cnf(c5,plain,
    meet(n0,X0,n0),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(hi5,axiom,
    meet(n0,X0,n0) = true,
    inference(equality_encoding,[status(esa)],[c5]) ).

cnf(f3,axiom,
    join(n0,X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_0_and_x) ).

fof(f3_nnf,plain,
    ! [X] : join(n0,X,X),
    inference(nnf_transformation,[status(thm)],[f3]) ).

fof(f3_sk,plain,
    ! [X] : join(n0,X,X),
    inference(skolemisation,[status(esa)],[f3_nnf]) ).

cnf(c3,plain,
    join(n0,X0,X0),
    inference(cnf_transformation,[status(esa)],[f3_sk]) ).

cnf(hi3,axiom,
    join(n0,X0,X0) = true,
    inference(equality_encoding,[status(esa)],[c3]) ).

cnf(f24,negated_conjecture,
    meet(r2,b,e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_r2_and_b) ).

fof(f24_nnf,plain,
    meet(r2,b,e),
    inference(nnf_transformation,[status(thm)],[f24]) ).

cnf(c24,plain,
    meet(r2,b,e),
    inference(cnf_transformation,[status(esa)],[f24_nnf]) ).

cnf(hi23,negated_conjecture,
    meet(r2,b,e) = true,
    inference(equality_encoding,[status(esa)],[c24]) ).

cnf(h24,plain,
    meet(b,r2,e) = true,
    inference(hyper_resolution,[status(thm)],[hi19,hi5,hi3,hi23,hi3]) ).

cnf(f4,axiom,
    join(X,n0,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_x_and_0) ).

fof(f4_nnf,plain,
    ! [X] : join(X,n0,X),
    inference(nnf_transformation,[status(thm)],[f4]) ).

fof(f4_sk,plain,
    ! [X] : join(X,n0,X),
    inference(skolemisation,[status(esa)],[f4_nnf]) ).

cnf(c4,plain,
    join(X0,n0,X0),
    inference(cnf_transformation,[status(esa)],[f4_sk]) ).

cnf(hi4,axiom,
    join(X0,n0,X0) = true,
    inference(equality_encoding,[status(esa)],[c4]) ).

cnf(h21,plain,
    meet(r2,c,n0) = true,
    inference(hyper_resolution,[status(thm)],[hi19,hi5,hi3,hi22,hi4]) ).

cnf(f28,negated_conjecture,
    meet(r2,a,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_r2_and_a) ).

fof(f28_nnf,plain,
    meet(r2,a,d),
    inference(nnf_transformation,[status(thm)],[f28]) ).

cnf(c28,plain,
    meet(r2,a,d),
    inference(cnf_transformation,[status(esa)],[f28_nnf]) ).

cnf(hi27,negated_conjecture,
    meet(r2,a,d) = true,
    inference(equality_encoding,[status(esa)],[c28]) ).

cnf(f21,negated_conjecture,
    meet(a,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_a_and_b) ).

fof(f21_nnf,plain,
    meet(a,b,c),
    inference(nnf_transformation,[status(thm)],[f21]) ).

cnf(c21,plain,
    meet(a,b,c),
    inference(cnf_transformation,[status(esa)],[f21_nnf]) ).

cnf(hi20,negated_conjecture,
    meet(a,b,c) = true,
    inference(equality_encoding,[status(esa)],[c21]) ).

cnf(h110,plain,
    meet(d,b,n0) = true,
    inference(hyper_resolution,[status(thm)],[hi14,hi27,hi20,h21]) ).

cnf(f15,axiom,
    ( meet(X,Yz,Xyz)
    | ~ meet(Xy,Z,Xyz)
    | ~ meet(Y,Z,Yz)
    | ~ meet(X,Y,Xy) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet2) ).

fof(f15_nnf,plain,
    ! [X,Y,Xy,Z,Yz,Xyz] :
      ( meet(X,Yz,Xyz)
      | ~ meet(Xy,Z,Xyz)
      | ~ meet(Y,Z,Yz)
      | ~ meet(X,Y,Xy) ),
    inference(nnf_transformation,[status(thm)],[f15]) ).

fof(f15_sk,plain,
    ! [X,Y,Xy,Z,Yz,Xyz] :
      ( meet(X,Yz,Xyz)
      | ~ meet(Xy,Z,Xyz)
      | ~ meet(Y,Z,Yz)
      | ~ meet(X,Y,Xy) ),
    inference(skolemisation,[status(esa)],[f15_nnf]) ).

cnf(c15,plain,
    ( meet(X0,X4,X5)
    | ~ meet(X2,X3,X5)
    | ~ meet(X1,X3,X4)
    | ~ meet(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f15_sk]) ).

cnf(hi15,axiom,
    ifeq(meet(X0,X1,X2),true,ifeq(meet(X1,X3,X4),true,ifeq(meet(X2,X3,X5),true,meet(X0,X4,X5),true),true),true) = true,
    inference(equality_encoding,[status(esa)],[c15]) ).

cnf(h189,plain,
    meet(d,e,n0) = true,
    inference(hyper_resolution,[status(thm)],[hi15,h110,h24,h22]) ).

cnf(f8,axiom,
    meet(n1,X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_1_and_x) ).

fof(f8_nnf,plain,
    ! [X] : meet(n1,X,X),
    inference(nnf_transformation,[status(thm)],[f8]) ).

fof(f8_sk,plain,
    ! [X] : meet(n1,X,X),
    inference(skolemisation,[status(esa)],[f8_nnf]) ).

cnf(c8,plain,
    meet(n1,X0,X0),
    inference(cnf_transformation,[status(esa)],[f8_sk]) ).

cnf(hi8,axiom,
    meet(n1,X0,X0) = true,
    inference(equality_encoding,[status(esa)],[c8]) ).

cnf(h25,plain,
    meet(n1,e,e) = true,
    inference(hyper_resolution,[status(thm)],[hi15,hi8,hi23,hi23]) ).

cnf(f6,axiom,
    meet(X,n0,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_x_and_0) ).

fof(f6_nnf,plain,
    ! [X] : meet(X,n0,n0),
    inference(nnf_transformation,[status(thm)],[f6]) ).

fof(f6_sk,plain,
    ! [X] : meet(X,n0,n0),
    inference(skolemisation,[status(esa)],[f6_nnf]) ).

cnf(c6,plain,
    meet(X0,n0,n0),
    inference(cnf_transformation,[status(esa)],[f6_sk]) ).

cnf(hi6,axiom,
    meet(X0,n0,n0) = true,
    inference(equality_encoding,[status(esa)],[c6]) ).

cnf(f1,axiom,
    join(X,n1,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_x_and_1) ).

fof(f1_nnf,plain,
    ! [X] : join(X,n1,n1),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [X] : join(X,n1,n1),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c1,plain,
    join(X0,n1,n1),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(hi1,axiom,
    join(X0,n1,n1) = true,
    inference(equality_encoding,[status(esa)],[c1]) ).

cnf(h6,plain,
    meet(n0,n1,n0) = true,
    inference(hyper_resolution,[status(thm)],[hi19,hi6,hi1,hi6,hi4]) ).

cnf(h120,plain,
    join(e,n0,e) = true,
    inference(hyper_resolution,[status(thm)],[hi18,hi9,hi4,h6,h25]) ).

cnf(h48,plain,
    meet(r1,c2,n0) = true,
    inference(hyper_resolution,[status(thm)],[hi19,hi5,hi3,hi26,hi4]) ).

cnf(f29,negated_conjecture,
    join(r1,e,a2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_r1_and_e) ).

fof(f29_nnf,plain,
    join(r1,e,a2),
    inference(nnf_transformation,[status(thm)],[f29]) ).

cnf(c29,plain,
    join(r1,e,a2),
    inference(cnf_transformation,[status(esa)],[f29_nnf]) ).

cnf(hi28,negated_conjecture,
    join(r1,e,a2) = true,
    inference(equality_encoding,[status(esa)],[c29]) ).

cnf(h72,plain,
    join(e,r1,a2) = true,
    inference(hyper_resolution,[status(thm)],[hi11,hi28]) ).

cnf(h31,plain,
    meet(e,b,e) = true,
    inference(hyper_resolution,[status(thm)],[hi14,hi23,hi7,hi23]) ).

cnf(f25,negated_conjecture,
    join(a,b,c2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_a_and_b) ).

fof(f25_nnf,plain,
    join(a,b,c2),
    inference(nnf_transformation,[status(thm)],[f25]) ).

cnf(c25,plain,
    join(a,b,c2),
    inference(cnf_transformation,[status(esa)],[f25_nnf]) ).

cnf(hi24,negated_conjecture,
    join(a,b,c2) = true,
    inference(equality_encoding,[status(esa)],[c25]) ).

cnf(h44,plain,
    join(b,a,c2) = true,
    inference(hyper_resolution,[status(thm)],[hi11,hi24]) ).

cnf(f13,axiom,
    ( meet(X,Z,X)
    | ~ join(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorbtion2) ).

fof(f13_nnf,plain,
    ! [X,Y,Z] :
      ( meet(X,Z,X)
      | ~ join(X,Y,Z) ),
    inference(nnf_transformation,[status(thm)],[f13]) ).

fof(f13_sk,plain,
    ! [X,Y,Z] :
      ( meet(X,Z,X)
      | ~ join(X,Y,Z) ),
    inference(skolemisation,[status(esa)],[f13_nnf]) ).

cnf(c13,plain,
    ( meet(X0,X2,X0)
    | ~ join(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f13_sk]) ).

cnf(hi13,axiom,
    ifeq(join(X0,X1,X2),true,meet(X0,X2,X0),true) = true,
    inference(equality_encoding,[status(esa)],[c13]) ).

cnf(h140,plain,
    meet(b,c2,b) = true,
    inference(hyper_resolution,[status(thm)],[hi13,h44]) ).

cnf(h201,plain,
    meet(e,c2,e) = true,
    inference(hyper_resolution,[status(thm)],[hi14,h31,h140,h31]) ).

cnf(h219,plain,
    meet(c2,a2,e) = true,
    inference(hyper_resolution,[status(thm)],[hi19,h201,h72,h48,h120]) ).

cnf(h43,plain,
    meet(a,c2,a) = true,
    inference(hyper_resolution,[status(thm)],[hi13,hi24]) ).

cnf(h137,plain,
    meet(d,c2,d) = true,
    inference(hyper_resolution,[status(thm)],[hi14,hi27,h43,hi27]) ).

cnf(h232,plain,
    meet(d,a2,n0) = true,
    inference(hyper_resolution,[status(thm)],[hi14,h137,h219,h189]) ).

cnf(h71,plain,
    meet(r1,a2,r1) = true,
    inference(hyper_resolution,[status(thm)],[hi13,hi28]) ).

cnf(f30,negated_conjecture,
    join(r1,d,b2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_r1_and_d) ).

fof(f30_nnf,plain,
    join(r1,d,b2),
    inference(nnf_transformation,[status(thm)],[f30]) ).

cnf(c30,plain,
    join(r1,d,b2),
    inference(cnf_transformation,[status(esa)],[f30_nnf]) ).

cnf(hi29,negated_conjecture,
    join(r1,d,b2) = true,
    inference(equality_encoding,[status(esa)],[c30]) ).

cnf(t139,plain,
    meet(a2,b2,r1) = true,
    inference(hyper_resolution,[status(thm)],[hi19,h71,hi29,h232,h142]) ).

cnf(t330,plain,
    meet(a2,b2,r1) = true,
    inference(orient,[status(thm)],[t139]) ).

cnf(f20,negated_conjecture,
    ~ meet(a2,b2,r1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_a2_and_b2) ).

fof(f20_nnf,plain,
    ~ meet(a2,b2,r1),
    inference(nnf_transformation,[status(thm)],[f20]) ).

fof(f20_sk,plain,
    ~ meet(a2,b2,r1),
    inference(skolemisation,[status(esa)],[f20_nnf]) ).

cnf(c20,plain,
    ~ meet(a2,b2,r1),
    inference(cnf_transformation,[status(esa)],[f20_sk]) ).

cnf(goal_0,negated_conjecture,
    meet(a2,b2,r1) != true,
    inference(equality_encoding,[status(esa)],[c20]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t330]) ).

cnf(contradiction_0,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : LAT005-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/0.42  % Computer : n008.cluster.edu
% 0.17/0.42  % Model    : x86_64 x86_64
% 0.17/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42  % Memory   : 8046.5625MB
% 0.17/0.42  % OS       : Linux 6.8.0-71-generic
% 0.17/0.42  % CPULimit : 300
% 0.17/0.42  % WCLimit  : 300
% 0.17/0.42  % DateTime : Wed Sep 23 19:59:54 UTC 2026
% 0.17/0.42  % CPUTime  : 
% 0.17/0.42  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.32/1.29  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.32/1.29  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------