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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : COL110-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n005.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 01:02:54 PM UTC 2026

% Result   : Unsatisfiable 0.44s 1.29s
% Output   : CNFRefutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   45 (  15 unt;   5 def)
%            Number of atoms       :  160 (   5 equ)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :  106 (  61   ~;  45   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   6 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-4 aty)
%            Number of variables   :   41 (   0 sgn  41   !;   0   ?;  32   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    c_in(c_Pair(v_x,v_yb,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f2,negated_conjecture,
    c_in(c_Pair(v_z,v_wa,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f3,negated_conjecture,
    ! [X0] :
      ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,v_wa),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f4,negated_conjecture,
    ! [X0] :
      ( ~ c_in(c_Pair(v_x,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | c_in(c_Pair(v_ya,v_xb(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f5,negated_conjecture,
    ! [X0] :
      ( ~ c_in(c_Pair(v_x,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | c_in(c_Pair(X0,v_xb(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f6,negated_conjecture,
    ! [X0] :
      ( ~ c_in(c_Pair(v_z,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | c_in(c_Pair(v_w,v_xaa(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

fof(f7,negated_conjecture,
    ! [X0] :
      ( ~ c_in(c_Pair(v_z,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | c_in(c_Pair(X0,v_xaa(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X2,X0),c_Comb_Ocomb_Oop_A_D_D(X3,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | ~ c_in(c_Pair(X2,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Oparcontract_Ointros__4_0) ).

tcf(c_57,negated_conjecture,
    c_in(c_Pair(v_x,v_yb,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_58,negated_conjecture,
    c_in(c_Pair(v_z,v_wa,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_59,negated_conjecture,
    ! [X0: $i] :
      ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,v_wa),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_60,negated_conjecture,
    ! [X0: $i] :
      ( c_in(c_Pair(v_ya,v_xb(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | ~ c_in(c_Pair(v_x,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_61,negated_conjecture,
    ! [X0: $i] :
      ( c_in(c_Pair(X0,v_xb(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | ~ c_in(c_Pair(v_x,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_62,negated_conjecture,
    ! [X0: $i] :
      ( c_in(c_Pair(v_w,v_xaa(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | ~ c_in(c_Pair(v_z,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_63,negated_conjecture,
    ! [X0: $i] :
      ( c_in(c_Pair(X0,v_xaa(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | ~ c_in(c_Pair(v_z,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X2,X0),c_Comb_Ocomb_Oop_A_D_D(X3,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | ~ c_in(c_Pair(X2,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_101,definition,
    iPr_def_10 = tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_102,definition,
    iPr_def_11 = c_Comb_Ocomb_Oop_A_D_D(v_yb,v_wa),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_103,definition,
    iPr_def_12 = c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_104,definition,
    iPr_def_13 = c_Pair(v_z,v_wa,tc_Comb_Ocomb,tc_Comb_Ocomb),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_105,definition,
    iPr_def_14 = c_Pair(v_x,v_yb,tc_Comb_Ocomb,tc_Comb_Ocomb),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_106,negated_conjecture,
    ! [X0: $i] :
      ( c_in(c_Pair(X0,v_xaa(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_z,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10) ),
    inference(demodulation,[status(thm)],[c_63,c_101]) ).

tcf(c_107,negated_conjecture,
    ! [X0: $i] :
      ( c_in(c_Pair(v_w,v_xaa(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_z,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10) ),
    inference(demodulation,[status(thm)],[c_62]) ).

tcf(c_108,negated_conjecture,
    ! [X0: $i] :
      ( c_in(c_Pair(X0,v_xb(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_x,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10) ),
    inference(demodulation,[status(thm)],[c_61]) ).

tcf(c_109,negated_conjecture,
    ! [X0: $i] :
      ( c_in(c_Pair(v_ya,v_xb(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_x,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10) ),
    inference(demodulation,[status(thm)],[c_60]) ).

tcf(c_110,negated_conjecture,
    ! [X0: $i] :
      ( ~ c_in(c_Pair(iPr_def_12,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(iPr_def_11,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10) ),
    inference(demodulation,[status(thm)],[c_59,c_103,c_102]) ).

tcf(c_111,negated_conjecture,
    c_in(iPr_def_13,c_Comb_Oparcontract,iPr_def_10),
    inference(demodulation,[status(thm)],[c_58,c_104]) ).

tcf(c_112,negated_conjecture,
    c_in(iPr_def_14,c_Comb_Oparcontract,iPr_def_10),
    inference(demodulation,[status(thm)],[c_57,c_105]) ).

tcf(c_324,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X2,X0),c_Comb_Ocomb_Oop_A_D_D(X3,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(X2,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_64,c_101]) ).

tcf(c_334,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(c_Pair(iPr_def_11,c_Comb_Ocomb_Oop_A_D_D(X0,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_wa,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_yb,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_102,c_324]) ).

tcf(c_335,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(c_Pair(iPr_def_12,c_Comb_Ocomb_Oop_A_D_D(X0,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_w,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_ya,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_103,c_324]) ).

tcf(c_362,plain,
    ! [X0: $i,X1: $i] :
      ( ~ c_in(c_Pair(v_wa,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_yb,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(iPr_def_12,c_Comb_Ocomb_Oop_A_D_D(X0,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_334,c_110]) ).

tcf(c_419,plain,
    ! [X0: $i,X1: $i] :
      ( ~ c_in(c_Pair(v_w,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_ya,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_wa,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_yb,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_335,c_362]) ).

tcf(c_439,plain,
    ! [X0: $i] :
      ( ~ c_in(c_Pair(v_z,v_wa,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_ya,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_yb,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_w,v_xaa(v_wa),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_106,c_419]) ).

tcf(c_445,plain,
    ! [X0: $i] :
      ( ~ c_in(iPr_def_13,c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_ya,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_yb,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_w,v_xaa(v_wa),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_439,c_104]) ).

tcf(c_446,plain,
    ! [X0: $i] :
      ( ~ c_in(c_Pair(v_ya,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_yb,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_w,v_xaa(v_wa),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_445,c_111]) ).

tcf(c_458,plain,
    ! [X0: $i] :
      ( ~ c_in(c_Pair(v_z,v_wa,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_ya,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_yb,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_107,c_446]) ).

tcf(c_459,plain,
    ! [X0: $i] :
      ( ~ c_in(iPr_def_13,c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_ya,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_yb,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_458,c_104]) ).

tcf(c_460,plain,
    ! [X0: $i] :
      ( ~ c_in(c_Pair(v_ya,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
      | ~ c_in(c_Pair(v_yb,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_459,c_111]) ).

tcf(c_471,plain,
    ( ~ c_in(c_Pair(v_x,v_yb,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10)
    | ~ c_in(c_Pair(v_ya,v_xb(v_yb),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_108,c_460]) ).

tcf(c_472,plain,
    ( ~ c_in(iPr_def_14,c_Comb_Oparcontract,iPr_def_10)
    | ~ c_in(c_Pair(v_ya,v_xb(v_yb),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_471,c_105]) ).

tcf(c_473,plain,
    ~ c_in(c_Pair(v_ya,v_xb(v_yb),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_472,c_112]) ).

tcf(c_484,plain,
    ~ c_in(c_Pair(v_x,v_yb,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_10),
    inference(superposition,[status(thm)],[c_109,c_473]) ).

tcf(c_485,plain,
    ~ c_in(iPr_def_14,c_Comb_Oparcontract,iPr_def_10),
    inference(light_normalisation,[status(thm)],[c_484,c_105]) ).

tcf(c_486,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_485,c_112]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : COL110-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35  % Computer : n005.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Fri Sep 25 07:36:47 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.41  Running first-order theorem proving
% 0.14/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.42  
% 0.14/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.42  
% 0.14/0.42  % Detected problem language: tptp
% 0.14/0.44  % Proving...
% 0.44/1.29  % SZS status Started for theBenchmark.p
% 0.44/1.29  % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.29  
% 0.44/1.29  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.44/1.29  
% 0.44/1.29  % ------  iProver source info
% 0.44/1.29  
% 0.44/1.29  % git: date: 2026-07-19 20:42:38 +0200
% 0.44/1.29  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.44/1.29  % git: non_committed_changes: false
% 0.44/1.29  
% 0.44/1.29  % ------ Parsing...% successful
% 0.44/1.29  
% 0.44/1.29  
% 0.44/1.29  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 0.44/1.29  
% 0.44/1.29  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 0.44/1.29  
% 0.44/1.29  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 0.44/1.29  
% 0.44/1.29  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.44/1.29  % ------ Proving...
% 0.44/1.29  % ------ Problem Properties 
% 0.44/1.29  
% 0.44/1.29  % 
% 0.44/1.29  % clauses                               13
% 0.44/1.29  % conjectures                           7
% 0.44/1.29  % EPR                                   2
% 0.44/1.29  % Horn                                  13
% 0.44/1.29  % unary                                 7
% 0.44/1.29  % binary                                5
% 0.44/1.29  % lits                                  20
% 0.44/1.29  % lits eq                               5
% 0.44/1.29  % fd_pure                               0
% 0.44/1.29  % fd_pseudo                             0
% 0.44/1.29  % fd_cond                               0
% 0.44/1.29  % fd_pseudo_cond                        0
% 0.44/1.29  % AC symbols                            0
% 0.44/1.29  
% 0.44/1.29  % ------ Schedule dynamic 5 is on 
% 0.44/1.29  
% 0.44/1.29  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.44/1.29  
% 0.44/1.29  
% 0.44/1.29  % ------ 
% 0.44/1.29  % Current options:
% 0.44/1.29  % ------ 
% 0.44/1.29  
% 0.44/1.29  
% 0.44/1.29  % 
% 0.44/1.29  
% 0.44/1.29  % ------ Proving...
% 0.44/1.29  % 
% 0.44/1.29  
% 0.44/1.29  % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.29  
% 0.44/1.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.44/1.29  
% 0.44/1.29  
%------------------------------------------------------------------------------