TSTP Solution File: LAT005-6 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LAT005-6 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:34:32 EDT 2024

% Result   : Unsatisfiable 79.29s 11.68s
% Output   : CNFRefutation 79.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   22
% Syntax   : Number of clauses     :  171 ( 152 unt;   0 nHn; 111 RR)
%            Number of literals    :  210 ( 176 equ;  41 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-2 aty)
%            Number of variables   :  147 (  17 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_55,negated_conjecture,
    meet(a,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_a_and_b) ).

cnf(c_57,negated_conjecture,
    meet(c,r2,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_c_and_r2) ).

cnf(c_58,negated_conjecture,
    meet(r2,b,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_r2_and_b) ).

cnf(c_59,negated_conjecture,
    join(a,b,c2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_a_and_b) ).

cnf(c_61,negated_conjecture,
    meet(c2,r1,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_c2_and_r1) ).

cnf(c_62,negated_conjecture,
    meet(r2,a,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_r2_and_a) ).

cnf(c_63,negated_conjecture,
    join(r1,e,a2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_r1_and_e) ).

cnf(c_64,negated_conjecture,
    join(r1,d,b2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_r1_and_d) ).

cnf(c_65,negated_conjecture,
    ~ meet(a2,b2,r1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_a2_and_b2) ).

cnf(c_67,plain,
    join(X0,X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',join_x_and_x) ).

cnf(c_68,plain,
    join(n0,X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',join_0_and_x) ).

cnf(c_69,plain,
    meet(n0,X0,n0),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',meet_0_and_x) ).

cnf(c_70,plain,
    meet(X0,X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',meet_x_and_x) ).

cnf(c_71,plain,
    meet(n1,X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',meet_1_and_x) ).

cnf(c_72,plain,
    ( ~ meet(X0,X1,X2)
    | meet(X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',commutativity_of_meet) ).

cnf(c_73,plain,
    ( ~ join(X0,X1,X2)
    | join(X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',commutativity_of_join) ).

cnf(c_75,plain,
    ( ~ join(X0,X1,X2)
    | meet(X0,X2,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',absorbtion2) ).

cnf(c_77,plain,
    ( ~ meet(X0,X1,X2)
    | ~ meet(X1,X3,X4)
    | ~ meet(X2,X3,X5)
    | meet(X0,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',associativity_of_meet2) ).

cnf(c_79,plain,
    ( ~ join(X0,X1,X2)
    | ~ join(X1,X3,X4)
    | ~ join(X2,X3,X5)
    | join(X0,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',associativity_of_join2) ).

cnf(c_81,plain,
    ( ~ join(X0,X1,X2)
    | ~ join(X0,X3,X4)
    | ~ meet(X0,X5,X0)
    | ~ meet(X1,X5,X3)
    | meet(X5,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',modularity2) ).

cnf(c_104,plain,
    meet_of(a,b) = c,
    inference(well_definedness,[status(thm)],[c_55]) ).

cnf(c_106,plain,
    meet_of(c,r2) = n0,
    inference(well_definedness,[status(thm)],[c_57]) ).

cnf(c_107,plain,
    meet_of(r2,b) = e,
    inference(well_definedness,[status(thm)],[c_58]) ).

cnf(c_108,plain,
    join_of(a,b) = c2,
    inference(well_definedness,[status(thm)],[c_59]) ).

cnf(c_110,plain,
    meet_of(c2,r1) = n0,
    inference(well_definedness,[status(thm)],[c_61]) ).

cnf(c_111,plain,
    meet_of(r2,a) = d,
    inference(well_definedness,[status(thm)],[c_62]) ).

cnf(c_112,plain,
    join_of(r1,e) = a2,
    inference(well_definedness,[status(thm)],[c_63]) ).

cnf(c_113,plain,
    join_of(r1,d) = b2,
    inference(well_definedness,[status(thm)],[c_64]) ).

cnf(c_114,plain,
    meet_of(a2,b2) != r1,
    inference(well_definedness,[status(thm)],[c_65]) ).

cnf(c_116,plain,
    join_of(X0,X0) = X0,
    inference(well_definedness,[status(thm)],[c_67]) ).

cnf(c_117,plain,
    join_of(n0,X0) = X0,
    inference(well_definedness,[status(thm)],[c_68]) ).

cnf(c_118,plain,
    meet_of(n0,X0) = n0,
    inference(well_definedness,[status(thm)],[c_69]) ).

cnf(c_119,plain,
    meet_of(X0,X0) = X0,
    inference(well_definedness,[status(thm)],[c_70]) ).

cnf(c_120,plain,
    meet_of(n1,X0) = X0,
    inference(well_definedness,[status(thm)],[c_71]) ).

cnf(c_121,plain,
    ( meet_of(X0,X1) != X2
    | meet_of(X1,X0) = X2 ),
    inference(well_definedness,[status(thm)],[c_72]) ).

cnf(c_123,plain,
    ( join_of(X0,X1) != X2
    | join_of(X1,X0) = X2 ),
    inference(well_definedness,[status(thm)],[c_73]) ).

cnf(c_127,plain,
    ( join_of(X0,X1) != X2
    | meet_of(X0,X2) = X0 ),
    inference(well_definedness,[status(thm)],[c_75]) ).

cnf(c_131,plain,
    ( meet_of(X0,X1) != X2
    | meet_of(X1,X3) != X4
    | meet_of(X2,X3) != X5
    | meet_of(X0,X4) = X5 ),
    inference(well_definedness,[status(thm)],[c_77]) ).

cnf(c_135,plain,
    ( join_of(X0,X1) != X2
    | join_of(X1,X3) != X4
    | join_of(X2,X3) != X5
    | join_of(X0,X4) = X5 ),
    inference(well_definedness,[status(thm)],[c_79]) ).

cnf(c_139,plain,
    ( meet_of(X0,X1) != X0
    | meet_of(X2,X1) != X3
    | join_of(X0,X2) != X4
    | join_of(X0,X3) != X5
    | meet_of(X1,X4) = X5 ),
    inference(well_definedness,[status(thm)],[c_81]) ).

cnf(c_305,plain,
    meet_of(X0,join_of(X0,X1)) = X0,
    inference(unflattening,[status(thm)],[c_127]) ).

cnf(c_307,plain,
    join_of(X0,X1) = join_of(X1,X0),
    inference(unflattening,[status(thm)],[c_123]) ).

cnf(c_310,plain,
    meet_of(X0,X1) = meet_of(X1,X0),
    inference(unflattening,[status(thm)],[c_121]) ).

cnf(c_311,plain,
    meet_of(r2,c) = n0,
    inference(demodulation,[status(thm)],[c_106,c_310]) ).

cnf(c_312,plain,
    meet_of(r1,c2) = n0,
    inference(demodulation,[status(thm)],[c_110,c_310]) ).

cnf(c_315,plain,
    join_of(join_of(X0,X1),X2) = join_of(X0,join_of(X1,X2)),
    inference(unflattening,[status(thm)],[c_135]) ).

cnf(c_317,plain,
    meet_of(meet_of(X0,X1),X2) = meet_of(X0,meet_of(X1,X2)),
    inference(unflattening,[status(thm)],[c_131]) ).

cnf(c_319,plain,
    ( meet_of(X0,X1) != X0
    | meet_of(X1,join_of(X0,X2)) = join_of(X0,meet_of(X2,X1)) ),
    inference(unflattening,[status(thm)],[c_139]) ).

cnf(c_474,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_475,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_566,plain,
    meet_of(r1,join_of(a,b)) = n0,
    inference(light_normalisation,[status(thm)],[c_312,c_108]) ).

cnf(c_594,plain,
    meet_of(X0,join_of(X1,X0)) = X0,
    inference(superposition,[status(thm)],[c_307,c_305]) ).

cnf(c_657,plain,
    ( meet_of(a2,b2) != X0
    | r1 != X0
    | meet_of(a2,b2) = r1 ),
    inference(instantiation,[status(thm)],[c_475]) ).

cnf(c_690,plain,
    ( X0 != X1
    | r1 != X1
    | r1 = X0 ),
    inference(instantiation,[status(thm)],[c_475]) ).

cnf(c_691,plain,
    ( X0 != r1
    | r1 != r1
    | r1 = X0 ),
    inference(instantiation,[status(thm)],[c_690]) ).

cnf(c_692,plain,
    r1 = r1,
    inference(instantiation,[status(thm)],[c_474]) ).

cnf(c_699,plain,
    ( join_of(n0,r1) != r1
    | r1 != r1
    | r1 = join_of(n0,r1) ),
    inference(instantiation,[status(thm)],[c_691]) ).

cnf(c_700,plain,
    join_of(n0,r1) = r1,
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_726,plain,
    meet_of(join_of(X0,X1),join_of(X0,X2)) = join_of(X0,meet_of(X2,join_of(X0,X1))),
    inference(superposition,[status(thm)],[c_305,c_319]) ).

cnf(c_795,plain,
    ( meet_of(a2,b2) != join_of(n0,r1)
    | r1 != join_of(n0,r1)
    | meet_of(a2,b2) = r1 ),
    inference(instantiation,[status(thm)],[c_657]) ).

cnf(c_817,plain,
    meet_of(X0,meet_of(join_of(X1,X0),X2)) = meet_of(X0,X2),
    inference(superposition,[status(thm)],[c_594,c_317]) ).

cnf(c_19580,plain,
    meet_of(X0,meet_of(X1,X2)) = meet_of(X1,meet_of(X0,X2)),
    inference(superposition,[status(thm)],[c_317,c_310]) ).

cnf(c_19610,plain,
    meet_of(r1,join_of(a,b)) = n0,
    inference(light_normalisation,[status(thm)],[c_312,c_108]) ).

cnf(c_19668,plain,
    meet_of(X0,join_of(X1,X0)) = X0,
    inference(superposition,[status(thm)],[c_307,c_305]) ).

cnf(c_19693,plain,
    meet_of(X0,meet_of(X0,X1)) = meet_of(X0,X1),
    inference(superposition,[status(thm)],[c_119,c_317]) ).

cnf(c_20020,plain,
    meet_of(join_of(X0,X1),join_of(X1,X2)) = join_of(X1,meet_of(X2,join_of(X0,X1))),
    inference(superposition,[status(thm)],[c_19668,c_319]) ).

cnf(c_20021,plain,
    meet_of(X0,meet_of(join_of(X1,X0),X2)) = meet_of(X0,X2),
    inference(superposition,[status(thm)],[c_19668,c_317]) ).

cnf(c_20137,plain,
    meet_of(join_of(a,b),join_of(b,r1)) = join_of(b,n0),
    inference(superposition,[status(thm)],[c_19610,c_20020]) ).

cnf(c_20176,plain,
    meet_of(join_of(r1,b),join_of(a,b)) = join_of(n0,b),
    inference(theory_normalisation,[status(thm)],[c_20137,c_317,c_310,c_315,c_307]) ).

cnf(c_20215,plain,
    meet_of(join_of(r1,b),join_of(a,b)) = b,
    inference(demodulation,[status(thm)],[c_20176,c_117]) ).

cnf(c_20218,plain,
    meet_of(join_of(r1,b),meet_of(join_of(a,b),X0)) = meet_of(b,X0),
    inference(superposition,[status(thm)],[c_20215,c_317]) ).

cnf(c_20910,plain,
    meet_of(join_of(r1,b),meet_of(join_of(a,b),X0)) = meet_of(b,meet_of(join_of(a,b),X0)),
    inference(superposition,[status(thm)],[c_19693,c_20218]) ).

cnf(c_20933,plain,
    meet_of(b,meet_of(join_of(a,b),X0)) = meet_of(b,X0),
    inference(light_normalisation,[status(thm)],[c_20910,c_20218]) ).

cnf(c_26297,plain,
    meet_of(join_of(a,b),join_of(a,r1)) = join_of(a,n0),
    inference(superposition,[status(thm)],[c_566,c_726]) ).

cnf(c_26463,plain,
    meet_of(join_of(r1,a),join_of(a,b)) = join_of(n0,a),
    inference(theory_normalisation,[status(thm)],[c_26297,c_317,c_310,c_315,c_307]) ).

cnf(c_26835,plain,
    meet_of(join_of(r1,a),join_of(a,b)) = a,
    inference(demodulation,[status(thm)],[c_26463,c_117]) ).

cnf(c_26868,plain,
    meet_of(a,join_of(a,b)) = meet_of(a,a),
    inference(superposition,[status(thm)],[c_26835,c_817]) ).

cnf(c_29861,plain,
    meet_of(b,join_of(a,b)) = meet_of(b,b),
    inference(superposition,[status(thm)],[c_20215,c_20021]) ).

cnf(c_32860,plain,
    meet_of(join_of(r1,b),meet_of(X0,join_of(a,b))) = meet_of(X0,b),
    inference(superposition,[status(thm)],[c_20215,c_19580]) ).

cnf(c_37539,plain,
    meet_of(join_of(r1,b),meet_of(join_of(a,b),X0)) = meet_of(X0,b),
    inference(superposition,[status(thm)],[c_310,c_32860]) ).

cnf(c_48466,plain,
    meet_of(b,meet_of(join_of(a,b),X0)) = meet_of(b,meet_of(X0,b)),
    inference(superposition,[status(thm)],[c_37539,c_20021]) ).

cnf(c_48532,plain,
    meet_of(b,meet_of(X0,b)) = meet_of(b,X0),
    inference(light_normalisation,[status(thm)],[c_48466,c_20933]) ).

cnf(c_214550,plain,
    meet_of(a,a) = meet_of(a,c2),
    inference(light_normalisation,[status(thm)],[c_26868,c_108]) ).

cnf(c_214551,plain,
    meet_of(a,c2) = a,
    inference(demodulation,[status(thm)],[c_214550,c_119]) ).

cnf(c_214552,plain,
    meet_of(b,b) = meet_of(b,c2),
    inference(light_normalisation,[status(thm)],[c_29861,c_108]) ).

cnf(c_214553,plain,
    meet_of(b,c2) = b,
    inference(demodulation,[status(thm)],[c_214552,c_119]) ).

cnf(c_214554,plain,
    meet_of(b,a) = meet_of(b,c),
    inference(superposition,[status(thm)],[c_104,c_48532]) ).

cnf(c_214555,plain,
    meet_of(b,r2) = meet_of(b,e),
    inference(superposition,[status(thm)],[c_107,c_48532]) ).

cnf(c_214556,plain,
    meet_of(b,n1) = meet_of(b,b),
    inference(superposition,[status(thm)],[c_120,c_48532]) ).

cnf(c_214557,plain,
    meet_of(n1,b) = meet_of(b,b),
    inference(theory_normalisation,[status(thm)],[c_214556,c_317,c_310,c_315,c_307]) ).

cnf(c_214558,plain,
    meet_of(b,e) = meet_of(r2,b),
    inference(theory_normalisation,[status(thm)],[c_214555,c_317,c_310,c_315,c_307]) ).

cnf(c_214559,plain,
    meet_of(b,e) = e,
    inference(light_normalisation,[status(thm)],[c_214558,c_107]) ).

cnf(c_214560,plain,
    meet_of(a,b) = meet_of(b,c),
    inference(theory_normalisation,[status(thm)],[c_214554,c_317,c_310,c_315,c_307]) ).

cnf(c_214561,plain,
    meet_of(b,c) = c,
    inference(light_normalisation,[status(thm)],[c_214560,c_104]) ).

cnf(c_214564,plain,
    meet_of(r1,a2) = r1,
    inference(superposition,[status(thm)],[c_112,c_305]) ).

cnf(c_214619,plain,
    meet_of(X0,n0) = n0,
    inference(superposition,[status(thm)],[c_310,c_118]) ).

cnf(c_214624,plain,
    join_of(a,join_of(b,X0)) = join_of(c2,X0),
    inference(superposition,[status(thm)],[c_108,c_315]) ).

cnf(c_214668,plain,
    join_of(a,b) = join_of(c2,b),
    inference(superposition,[status(thm)],[c_116,c_214624]) ).

cnf(c_214673,plain,
    join_of(a,b) = join_of(b,c2),
    inference(theory_normalisation,[status(thm)],[c_214668,c_317,c_310,c_315,c_307]) ).

cnf(c_214674,plain,
    join_of(b,c2) = c2,
    inference(light_normalisation,[status(thm)],[c_214673,c_108]) ).

cnf(c_214771,plain,
    meet_of(a,meet_of(b,X0)) = meet_of(c,X0),
    inference(superposition,[status(thm)],[c_104,c_317]) ).

cnf(c_214772,plain,
    meet_of(r2,meet_of(b,X0)) = meet_of(e,X0),
    inference(superposition,[status(thm)],[c_107,c_317]) ).

cnf(c_214773,plain,
    meet_of(r2,meet_of(a,X0)) = meet_of(d,X0),
    inference(superposition,[status(thm)],[c_111,c_317]) ).

cnf(c_214779,plain,
    meet_of(r1,meet_of(c2,X0)) = meet_of(n0,X0),
    inference(superposition,[status(thm)],[c_312,c_317]) ).

cnf(c_214780,plain,
    meet_of(b,meet_of(meet_of(X0,b),X1)) = meet_of(meet_of(b,X0),X1),
    inference(superposition,[status(thm)],[c_48532,c_317]) ).

cnf(c_214781,plain,
    meet_of(a,meet_of(c2,X0)) = meet_of(a,X0),
    inference(superposition,[status(thm)],[c_214551,c_317]) ).

cnf(c_214791,plain,
    meet_of(b,meet_of(X0,meet_of(X1,b))) = meet_of(b,meet_of(X0,X1)),
    inference(superposition,[status(thm)],[c_317,c_48532]) ).

cnf(c_214792,plain,
    meet_of(r1,meet_of(c2,X0)) = n0,
    inference(light_normalisation,[status(thm)],[c_214779,c_118]) ).

cnf(c_214794,plain,
    meet_of(b,meet_of(X0,meet_of(b,X1))) = meet_of(b,meet_of(X0,X1)),
    inference(theory_normalisation,[status(thm)],[c_214780,c_317,c_310,c_315,c_307]) ).

cnf(c_214828,plain,
    meet_of(a2,join_of(r1,X0)) = join_of(r1,meet_of(X0,a2)),
    inference(superposition,[status(thm)],[c_214564,c_319]) ).

cnf(c_215096,plain,
    meet_of(a,n0) = meet_of(c,n0),
    inference(superposition,[status(thm)],[c_214619,c_214771]) ).

cnf(c_215101,plain,
    meet_of(a,meet_of(b,X0)) = meet_of(c,meet_of(X0,b)),
    inference(superposition,[status(thm)],[c_48532,c_214771]) ).

cnf(c_215104,plain,
    meet_of(a,e) = meet_of(c,e),
    inference(superposition,[status(thm)],[c_214559,c_214771]) ).

cnf(c_215114,plain,
    meet_of(n0,a) = meet_of(n0,c),
    inference(theory_normalisation,[status(thm)],[c_215096,c_317,c_310,c_315,c_307]) ).

cnf(c_215116,plain,
    meet_of(a,meet_of(b,X0)) = meet_of(b,meet_of(X0,c)),
    inference(theory_normalisation,[status(thm)],[c_215101,c_317,c_310,c_315,c_307]) ).

cnf(c_215117,plain,
    meet_of(b,meet_of(X0,c)) = meet_of(c,X0),
    inference(light_normalisation,[status(thm)],[c_215116,c_214771]) ).

cnf(c_215175,plain,
    meet_of(r2,n0) = meet_of(e,n0),
    inference(superposition,[status(thm)],[c_214619,c_214772]) ).

cnf(c_215179,plain,
    meet_of(e,join_of(b,X0)) = meet_of(r2,b),
    inference(superposition,[status(thm)],[c_305,c_214772]) ).

cnf(c_215180,plain,
    meet_of(r2,meet_of(b,X0)) = meet_of(e,meet_of(X0,b)),
    inference(superposition,[status(thm)],[c_48532,c_214772]) ).

cnf(c_215182,plain,
    meet_of(r2,c) = meet_of(e,c),
    inference(superposition,[status(thm)],[c_214561,c_214772]) ).

cnf(c_215188,plain,
    meet_of(c,e) = meet_of(r2,c),
    inference(theory_normalisation,[status(thm)],[c_215182,c_317,c_310,c_315,c_307]) ).

cnf(c_215189,plain,
    meet_of(a,e) = n0,
    inference(light_normalisation,[status(thm)],[c_215188,c_311,c_215104]) ).

cnf(c_215196,plain,
    meet_of(n0,r2) = meet_of(n0,e),
    inference(theory_normalisation,[status(thm)],[c_215175,c_317,c_310,c_315,c_307]) ).

cnf(c_215197,plain,
    meet_of(e,join_of(b,X0)) = e,
    inference(light_normalisation,[status(thm)],[c_215179,c_107]) ).

cnf(c_215198,plain,
    meet_of(b,meet_of(X0,e)) = meet_of(r2,meet_of(b,X0)),
    inference(theory_normalisation,[status(thm)],[c_215180,c_317,c_310,c_315,c_307]) ).

cnf(c_215199,plain,
    meet_of(b,meet_of(X0,e)) = meet_of(e,X0),
    inference(light_normalisation,[status(thm)],[c_215198,c_214772]) ).

cnf(c_215564,plain,
    meet_of(join_of(b,X0),join_of(e,X1)) = join_of(e,meet_of(X1,join_of(b,X0))),
    inference(superposition,[status(thm)],[c_215197,c_319]) ).

cnf(c_215611,plain,
    meet_of(r2,c) = meet_of(d,b),
    inference(superposition,[status(thm)],[c_104,c_214773]) ).

cnf(c_215617,plain,
    meet_of(r2,a) = meet_of(d,c2),
    inference(superposition,[status(thm)],[c_214551,c_214773]) ).

cnf(c_215625,plain,
    meet_of(r2,a) = meet_of(c2,d),
    inference(theory_normalisation,[status(thm)],[c_215617,c_317,c_310,c_315,c_307]) ).

cnf(c_215626,plain,
    meet_of(c2,d) = d,
    inference(light_normalisation,[status(thm)],[c_215625,c_111]) ).

cnf(c_215629,plain,
    meet_of(b,d) = meet_of(r2,c),
    inference(theory_normalisation,[status(thm)],[c_215611,c_317,c_310,c_315,c_307]) ).

cnf(c_215630,plain,
    meet_of(b,d) = n0,
    inference(light_normalisation,[status(thm)],[c_215629,c_311]) ).

cnf(c_216035,plain,
    meet_of(r1,meet_of(X0,c2)) = n0,
    inference(superposition,[status(thm)],[c_310,c_214792]) ).

cnf(c_216039,plain,
    meet_of(r1,d) = n0,
    inference(superposition,[status(thm)],[c_215626,c_214792]) ).

cnf(c_216183,plain,
    meet_of(r1,meet_of(d,X0)) = meet_of(n0,X0),
    inference(superposition,[status(thm)],[c_216039,c_317]) ).

cnf(c_216188,plain,
    meet_of(r1,meet_of(d,X0)) = n0,
    inference(light_normalisation,[status(thm)],[c_216183,c_118]) ).

cnf(c_217255,plain,
    meet_of(r1,b) = n0,
    inference(superposition,[status(thm)],[c_214553,c_216035]) ).

cnf(c_217344,plain,
    meet_of(r1,meet_of(b,X0)) = meet_of(n0,X0),
    inference(superposition,[status(thm)],[c_217255,c_317]) ).

cnf(c_217351,plain,
    meet_of(r1,meet_of(b,X0)) = n0,
    inference(light_normalisation,[status(thm)],[c_217344,c_118]) ).

cnf(c_217641,plain,
    meet_of(b,n0) = meet_of(c,n0),
    inference(superposition,[status(thm)],[c_118,c_215117]) ).

cnf(c_217669,plain,
    meet_of(n0,b) = meet_of(n0,c),
    inference(theory_normalisation,[status(thm)],[c_217641,c_317,c_310,c_315,c_307]) ).

cnf(c_217670,plain,
    meet_of(n0,a) = meet_of(n0,b),
    inference(light_normalisation,[status(thm)],[c_217669,c_215114]) ).

cnf(c_218079,plain,
    meet_of(b,n0) = meet_of(e,n0),
    inference(superposition,[status(thm)],[c_118,c_215199]) ).

cnf(c_218113,plain,
    meet_of(n0,b) = meet_of(n0,e),
    inference(theory_normalisation,[status(thm)],[c_218079,c_317,c_310,c_315,c_307]) ).

cnf(c_218114,plain,
    meet_of(n0,a) = meet_of(n0,r2),
    inference(light_normalisation,[status(thm)],[c_218113,c_215196,c_217670]) ).

cnf(c_221095,plain,
    meet_of(r1,meet_of(X0,b)) = n0,
    inference(superposition,[status(thm)],[c_310,c_217351]) ).

cnf(c_222471,plain,
    meet_of(c2,join_of(e,X0)) = join_of(e,meet_of(X0,c2)),
    inference(superposition,[status(thm)],[c_214674,c_215564]) ).

cnf(c_222679,plain,
    meet_of(b,meet_of(r1,d)) = meet_of(b,n0),
    inference(superposition,[status(thm)],[c_216188,c_214791]) ).

cnf(c_222723,plain,
    meet_of(r1,meet_of(b,d)) = meet_of(n0,b),
    inference(theory_normalisation,[status(thm)],[c_222679,c_317,c_310,c_315,c_307]) ).

cnf(c_222724,plain,
    meet_of(n0,r2) = meet_of(r1,n0),
    inference(light_normalisation,[status(thm)],[c_222723,c_215630,c_217670,c_218114]) ).

cnf(c_222725,plain,
    meet_of(n0,r2) = meet_of(n0,r1),
    inference(theory_normalisation,[status(thm)],[c_222724,c_317,c_310,c_315,c_307]) ).

cnf(c_223102,plain,
    meet_of(c2,join_of(e,r1)) = join_of(e,n0),
    inference(superposition,[status(thm)],[c_312,c_222471]) ).

cnf(c_223121,plain,
    meet_of(c2,join_of(r1,e)) = join_of(n0,e),
    inference(theory_normalisation,[status(thm)],[c_223102,c_317,c_310,c_315,c_307]) ).

cnf(c_223122,plain,
    meet_of(c2,a2) = join_of(n0,e),
    inference(light_normalisation,[status(thm)],[c_223121,c_112]) ).

cnf(c_223174,plain,
    meet_of(c2,a2) = e,
    inference(demodulation,[status(thm)],[c_223122,c_117]) ).

cnf(c_223183,plain,
    meet_of(a,e) = meet_of(a,a2),
    inference(superposition,[status(thm)],[c_223174,c_214781]) ).

cnf(c_223189,plain,
    meet_of(a,a2) = n0,
    inference(light_normalisation,[status(thm)],[c_223183,c_215189]) ).

cnf(c_223849,plain,
    meet_of(b,meet_of(r1,b)) = meet_of(b,n0),
    inference(superposition,[status(thm)],[c_221095,c_214794]) ).

cnf(c_223858,plain,
    meet_of(r1,meet_of(b,b)) = meet_of(n0,b),
    inference(theory_normalisation,[status(thm)],[c_223849,c_317,c_310,c_315,c_307]) ).

cnf(c_223859,plain,
    meet_of(r1,meet_of(n1,b)) = meet_of(n0,r1),
    inference(light_normalisation,[status(thm)],[c_223858,c_214557,c_217670,c_218114,c_222725]) ).

cnf(c_223860,plain,
    meet_of(n1,meet_of(r1,b)) = meet_of(n0,r1),
    inference(theory_normalisation,[status(thm)],[c_223859,c_317,c_310,c_315,c_307]) ).

cnf(c_223861,plain,
    meet_of(n1,n0) = meet_of(n0,r1),
    inference(light_normalisation,[status(thm)],[c_223860,c_217255]) ).

cnf(c_224004,plain,
    meet_of(r2,n0) = meet_of(d,a2),
    inference(superposition,[status(thm)],[c_223189,c_214773]) ).

cnf(c_224010,plain,
    meet_of(n0,r2) = meet_of(d,a2),
    inference(theory_normalisation,[status(thm)],[c_224004,c_317,c_310,c_315,c_307]) ).

cnf(c_224011,plain,
    meet_of(n1,n0) = meet_of(d,a2),
    inference(light_normalisation,[status(thm)],[c_224010,c_222725,c_223861]) ).

cnf(c_230828,plain,
    meet_of(d,a2) = n0,
    inference(demodulation,[status(thm)],[c_224011,c_120]) ).

cnf(c_230838,plain,
    meet_of(a2,join_of(r1,d)) = join_of(r1,n0),
    inference(superposition,[status(thm)],[c_230828,c_214828]) ).

cnf(c_230876,plain,
    meet_of(a2,join_of(r1,d)) = join_of(n0,r1),
    inference(theory_normalisation,[status(thm)],[c_230838,c_317,c_310,c_315,c_307]) ).

cnf(c_230877,plain,
    meet_of(a2,b2) = join_of(n0,r1),
    inference(light_normalisation,[status(thm)],[c_230876,c_113]) ).

cnf(c_230884,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_230877,c_795,c_700,c_699,c_692,c_114]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : LAT005-6 : TPTP v8.1.2. Released v1.1.0.
% 0.05/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n027.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 18:41:05 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 79.29/11.68  % SZS status Started for theBenchmark.p
% 79.29/11.68  % SZS status Unsatisfiable for theBenchmark.p
% 79.29/11.68  
% 79.29/11.68  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 79.29/11.68  
% 79.29/11.68  ------  iProver source info
% 79.29/11.68  
% 79.29/11.68  git: date: 2024-05-02 19:28:25 +0000
% 79.29/11.68  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 79.29/11.68  git: non_committed_changes: false
% 79.29/11.68  
% 79.29/11.68  ------ Parsing...successful
% 79.29/11.68  
% 79.29/11.68  
% 79.29/11.68  
% 79.29/11.68  ------ Preprocessing... sup_sim: 20  sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sup_sim: 4  sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 79.29/11.68  
% 79.29/11.68  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 79.29/11.68  
% 79.29/11.68  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 79.29/11.68  ------ Proving...
% 79.29/11.68  ------ Problem Properties 
% 79.29/11.68  
% 79.29/11.68  
% 79.29/11.68  clauses                                 25
% 79.29/11.68  conjectures                             0
% 79.29/11.68  EPR                                     0
% 79.29/11.68  Horn                                    25
% 79.29/11.68  unary                                   23
% 79.29/11.68  binary                                  2
% 79.29/11.68  lits                                    27
% 79.29/11.68  lits eq                                 27
% 79.29/11.68  fd_pure                                 0
% 79.29/11.68  fd_pseudo                               0
% 79.29/11.68  fd_cond                                 0
% 79.29/11.68  fd_pseudo_cond                          0
% 79.29/11.68  AC symbols                              2
% 79.29/11.68  
% 79.29/11.68  ------ Schedule dynamic 5 is on 
% 79.29/11.68  
% 79.29/11.68  ------ no conjectures: strip conj schedule 
% 79.29/11.68  
% 79.29/11.68  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 79.29/11.68  
% 79.29/11.68  
% 79.29/11.68  ------ 
% 79.29/11.68  Current options:
% 79.29/11.68  ------ 
% 79.29/11.68  
% 79.29/11.68  
% 79.29/11.68  
% 79.29/11.68  
% 79.29/11.68  ------ Proving...
% 79.29/11.68  Proof_search_loop: time out after: 7452 full_loop iterations
% 79.29/11.68  
% 79.29/11.68  ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" stripped conjectures Time Limit: 15.
% 79.29/11.68  
% 79.29/11.68  
% 79.29/11.68  ------ 
% 79.29/11.68  Current options:
% 79.29/11.68  ------ 
% 79.29/11.68  
% 79.29/11.68  
% 79.29/11.68  
% 79.29/11.68  
% 79.29/11.68  ------ Proving...
% 79.29/11.68  
% 79.29/11.68  
% 79.29/11.68  % SZS status Unsatisfiable for theBenchmark.p
% 79.29/11.68  
% 79.29/11.68  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 79.29/11.68  
% 79.29/11.69  
%------------------------------------------------------------------------------