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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : LAT276-2 : 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 : n026.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 01:58:32 PM UTC 2026

% Result   : Unsatisfiable 2.14s 1.26s
% Output   : CNFRefutation 2.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   61 (  14 unt;   5 def)
%            Number of atoms       :  198 (  24 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  180 (  84   ~;  96   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   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  :    9 (   7 usr;   6 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-4 aty)
%            Number of variables   :   49 (   0 sgn  49   !;   0   ?;  37   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    c_lessequals(v_S,v_A,tc_set(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f2,negated_conjecture,
    ! [X0] :
      ( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
      | ~ c_in(X0,v_S,t_a)
      | c_in(c_Pair(X0,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).

fof(f3,negated_conjecture,
    ( c_in(v_xa,v_S,t_a)
    | c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f4,negated_conjecture,
    ( c_in(v_xa,v_S,t_a)
    | ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f5,negated_conjecture,
    ( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f6,negated_conjecture,
    ! [X0] :
      ( c_in(v_xa,v_S,t_a)
      | ~ c_in(X0,v_S,t_a)
      | c_in(c_Pair(X0,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,X3,X2)
      | ~ c_lessequals(X1,X3,tc_set(X2))
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).

fof(f8,axiom,
    v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( c_in(v_sko__4mP(X0,X1,v_r),X1,t_a)
      | c_in(c_Pair(c_Tarski_Olub(X1,v_cl,t_a),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_lessequals(X1,v_A,tc_set(t_a))
      | ~ c_in(X0,v_A,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( c_in(c_Pair(c_Tarski_Olub(X1,v_cl,t_a),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_lessequals(X1,v_A,tc_set(t_a))
      | ~ c_in(c_Pair(v_sko__4mP(X0,X1,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(X0,v_A,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( c_in(c_Pair(X0,c_Tarski_Olub(X1,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_lessequals(X1,v_A,tc_set(t_a))
      | ~ c_in(X0,X1,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0) ).

fof(f12,axiom,
    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).

fof(f13,plain,
    c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
    inference(reorient_equations,[],[f12]) ).

tcf(c_61,negated_conjecture,
    c_lessequals(v_S,v_A,tc_set(t_a)),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_62,negated_conjecture,
    ! [X0: $i] :
      ( c_in(c_Pair(X0,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
      | ~ c_in(X0,v_S,t_a)
      | ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_63,negated_conjecture,
    ( c_in(v_xa,v_S,t_a)
    | c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a) ),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_64,negated_conjecture,
    ( c_in(v_xa,v_S,t_a)
    | ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_65,negated_conjecture,
    ( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_66,negated_conjecture,
    ! [X0: $i] :
      ( c_in(v_xa,v_S,t_a)
      | c_in(c_Pair(X0,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
      | ~ c_in(X0,v_S,t_a) ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_in(X3,X1,X2)
      | ~ c_in(X3,X0,X2)
      | ~ c_lessequals(X0,X1,tc_set(X2)) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_68,plain,
    c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
    inference(cnf_transformation,[],[f8]) ).

tcf(c_69,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(v_sko__4mP(X1,X0,v_r),X0,t_a)
      | c_in(c_Pair(c_Tarski_Olub(X0,v_cl,t_a),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(X1,v_A,t_a)
      | ~ c_lessequals(X0,v_A,tc_set(t_a)) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_70,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(c_Pair(c_Tarski_Olub(X1,v_cl,t_a),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(X0,v_A,t_a)
      | ~ c_lessequals(X1,v_A,tc_set(t_a))
      | ~ c_in(c_Pair(v_sko__4mP(X0,X1,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(c_Pair(X1,c_Tarski_Olub(X0,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(X1,X0,t_a)
      | ~ c_lessequals(X0,v_A,tc_set(t_a)) ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_72,plain,
    c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
    inference(cnf_transformation,[],[f13]) ).

tcf(c_136,plain,
    ( c_in(v_xa,v_A,t_a)
    | c_in(v_xa,v_S,t_a) ),
    inference(light_normalisation,[status(thm)],[c_63,c_68]) ).

tcf(c_145,plain,
    ( c_in(v_xa,v_S,t_a)
    | ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(light_normalisation,[status(thm)],[c_64,c_72]) ).

tcf(c_152,plain,
    ! [X0: $i] :
      ( c_in(v_xa,v_S,t_a)
      | c_in(c_Pair(X0,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(X0,v_S,t_a) ),
    inference(light_normalisation,[status(thm)],[c_66,c_72]) ).

tcf(c_176,plain,
    ( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(light_normalisation,[status(thm)],[c_65,c_72]) ).

tcf(c_183,plain,
    ! [X0: $i] :
      ( c_in(c_Pair(X0,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(X0,v_S,t_a)
      | ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(light_normalisation,[status(thm)],[c_62,c_72]) ).

tcf(c_215,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_in(X3,X2,X0)
      | ~ c_in(X3,X1,X0)
      | ( X2 != v_A )
      | ( X1 != v_S )
      | ( tc_set(X0) != tc_set(t_a) ) ),
    inference(resolution_lifted,[status(thm)],[c_61,c_67]) ).

tcf(c_216,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(X1,v_A,X0)
      | ~ c_in(X1,v_S,X0)
      | ( tc_set(X0) != tc_set(t_a) ) ),
    inference(unflattening,[status(thm)],[c_215]) ).

tcf(c_227,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(c_Pair(X1,c_Tarski_Olub(X0,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(X1,X0,t_a)
      | ( v_A != v_A )
      | ( X0 != v_S )
      | ( tc_set(t_a) != tc_set(t_a) ) ),
    inference(resolution_lifted,[status(thm)],[c_61,c_71]) ).

tcf(c_228,plain,
    ! [X0: $i] :
      ( c_in(c_Pair(X0,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(X0,v_S,t_a) ),
    inference(unflattening,[status(thm)],[c_227]) ).

tcf(c_236,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(v_sko__4mP(X1,X0,v_r),X0,t_a)
      | c_in(c_Pair(c_Tarski_Olub(X0,v_cl,t_a),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(X1,v_A,t_a)
      | ( v_A != v_A )
      | ( X0 != v_S )
      | ( tc_set(t_a) != tc_set(t_a) ) ),
    inference(resolution_lifted,[status(thm)],[c_61,c_69]) ).

tcf(c_237,plain,
    ! [X0: $i] :
      ( c_in(v_sko__4mP(X0,v_S,v_r),v_S,t_a)
      | c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(X0,v_A,t_a) ),
    inference(unflattening,[status(thm)],[c_236]) ).

tcf(c_248,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(c_Pair(c_Tarski_Olub(X0,v_cl,t_a),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(X1,v_A,t_a)
      | ~ c_in(c_Pair(v_sko__4mP(X1,X0,v_r),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ( v_A != v_A )
      | ( X0 != v_S )
      | ( tc_set(t_a) != tc_set(t_a) ) ),
    inference(resolution_lifted,[status(thm)],[c_61,c_70]) ).

tcf(c_249,plain,
    ! [X0: $i] :
      ( c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(X0,v_A,t_a)
      | ~ c_in(c_Pair(v_sko__4mP(X0,v_S,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(unflattening,[status(thm)],[c_248]) ).

tcf(c_376,definition,
    iPr_def_10 = tc_prod(t_a,t_a),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_377,definition,
    iPr_def_11 = c_Tarski_Olub(v_S,v_cl,t_a),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_378,definition,
    iPr_def_12 = tc_set(t_a),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_379,definition,
    iPr_def_13 = c_Pair(v_xa,iPr_def_11,t_a,t_a),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_380,definition,
    iPr_def_14 = c_Pair(iPr_def_11,v_xa,t_a,t_a),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_381,plain,
    ! [X0: $i] :
      ( c_in(c_Pair(iPr_def_11,X0,t_a,t_a),v_r,iPr_def_10)
      | ~ c_in(X0,v_A,t_a)
      | ~ c_in(c_Pair(v_sko__4mP(X0,v_S,v_r),X0,t_a,t_a),v_r,iPr_def_10) ),
    inference(demodulation,[status(thm)],[c_249,c_377,c_376]) ).

tcf(c_382,plain,
    ! [X0: $i] :
      ( c_in(v_sko__4mP(X0,v_S,v_r),v_S,t_a)
      | c_in(c_Pair(iPr_def_11,X0,t_a,t_a),v_r,iPr_def_10)
      | ~ c_in(X0,v_A,t_a) ),
    inference(demodulation,[status(thm)],[c_237]) ).

tcf(c_383,plain,
    ! [X0: $i] :
      ( c_in(c_Pair(X0,iPr_def_11,t_a,t_a),v_r,iPr_def_10)
      | ~ c_in(X0,v_S,t_a) ),
    inference(demodulation,[status(thm)],[c_228]) ).

tcf(c_384,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(X1,v_A,X0)
      | ~ c_in(X1,v_S,X0)
      | ( tc_set(X0) != iPr_def_12 ) ),
    inference(demodulation,[status(thm)],[c_216,c_378]) ).

tcf(c_385,plain,
    ! [X0: $i] :
      ( c_in(c_Pair(X0,v_xa,t_a,t_a),v_r,iPr_def_10)
      | ~ c_in(iPr_def_13,v_r,iPr_def_10)
      | ~ c_in(X0,v_S,t_a) ),
    inference(demodulation,[status(thm)],[c_183,c_379]) ).

tcf(c_386,plain,
    ( ~ c_in(iPr_def_14,v_r,iPr_def_10)
    | ~ c_in(iPr_def_13,v_r,iPr_def_10) ),
    inference(demodulation,[status(thm)],[c_176,c_380]) ).

tcf(c_387,plain,
    ! [X0: $i] :
      ( c_in(v_xa,v_S,t_a)
      | c_in(c_Pair(X0,v_xa,t_a,t_a),v_r,iPr_def_10)
      | ~ c_in(X0,v_S,t_a) ),
    inference(demodulation,[status(thm)],[c_152]) ).

tcf(c_388,plain,
    ( c_in(v_xa,v_S,t_a)
    | ~ c_in(iPr_def_14,v_r,iPr_def_10) ),
    inference(demodulation,[status(thm)],[c_145]) ).

tcf(c_389,plain,
    ( c_in(v_xa,v_A,t_a)
    | c_in(v_xa,v_S,t_a) ),
    inference(demodulation,[status(thm)],[c_136]) ).

tcf(c_719,plain,
    ( c_in(c_Pair(iPr_def_11,v_xa,t_a,t_a),v_r,iPr_def_10)
    | ~ c_in(iPr_def_13,v_r,iPr_def_10)
    | ~ c_in(v_xa,v_A,t_a)
    | ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a) ),
    inference(superposition,[status(thm)],[c_385,c_381]) ).

tcf(c_720,plain,
    ( c_in(v_xa,v_S,t_a)
    | c_in(c_Pair(iPr_def_11,v_xa,t_a,t_a),v_r,iPr_def_10)
    | ~ c_in(v_xa,v_A,t_a)
    | ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a) ),
    inference(superposition,[status(thm)],[c_387,c_381]) ).

tcf(c_724,plain,
    ( c_in(iPr_def_14,v_r,iPr_def_10)
    | c_in(v_xa,v_S,t_a)
    | ~ c_in(v_xa,v_A,t_a)
    | ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a) ),
    inference(light_normalisation,[status(thm)],[c_720,c_380]) ).

tcf(c_729,plain,
    ( c_in(iPr_def_14,v_r,iPr_def_10)
    | ~ c_in(iPr_def_13,v_r,iPr_def_10)
    | ~ c_in(v_xa,v_A,t_a)
    | ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a) ),
    inference(light_normalisation,[status(thm)],[c_719,c_380]) ).

tcf(c_734,plain,
    ! [X0: $i] :
      ( c_in(X0,v_A,t_a)
      | ~ c_in(X0,v_S,t_a) ),
    inference(superposition,[status(thm)],[c_378,c_384]) ).

tcf(c_738,plain,
    ( c_in(iPr_def_13,v_r,iPr_def_10)
    | ~ c_in(v_xa,v_S,t_a) ),
    inference(superposition,[status(thm)],[c_379,c_383]) ).

tcf(c_743,plain,
    ( c_in(iPr_def_14,v_r,iPr_def_10)
    | c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
    | ~ c_in(v_xa,v_A,t_a) ),
    inference(superposition,[status(thm)],[c_380,c_382]) ).

tcf(c_757,plain,
    c_in(v_xa,v_A,t_a),
    inference(backward_subsumption_resolution,[status(thm)],[c_389,c_734]) ).

tcf(c_760,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_757,c_743,c_738,c_729,c_724,c_388,c_386]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT276-2 : 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 : n026.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 : Wed Sep 23 20:49:40 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.35  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.39  Running first-order theorem proving
% 0.15/0.39  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
% 0.15/0.40  
% 0.15/0.40  % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.40  
% 0.15/0.40  % Detected problem language: tptp
% 0.15/0.41  % Proving...
% 2.14/1.26  % SZS status Started for theBenchmark.p
% 2.14/1.26  % SZS status Unsatisfiable for theBenchmark.p
% 2.14/1.26  
% 2.14/1.26  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.14/1.26  
% 2.14/1.26  % ------  iProver source info
% 2.14/1.26  
% 2.14/1.26  % git: date: 2026-07-19 20:42:38 +0200
% 2.14/1.26  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.14/1.26  % git: non_committed_changes: false
% 2.14/1.26  
% 2.14/1.26  % ------ Parsing...% successful
% 2.14/1.26  
% 2.14/1.26  
% 2.14/1.26  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.14/1.26  
% 2.14/1.26  % ------ Preprocessing... sup_sim: 5  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 2.14/1.26  
% 2.14/1.26  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.14/1.26  
% 2.14/1.26  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.14/1.26  % ------ Proving...
% 2.14/1.26  % ------ Problem Properties 
% 2.14/1.26  
% 2.14/1.26  % 
% 2.14/1.26  % clauses                               16
% 2.14/1.26  % conjectures                           0
% 2.14/1.26  % EPR                                   3
% 2.14/1.26  % Horn                                  13
% 2.14/1.26  % unary                                 7
% 2.14/1.26  % binary                                4
% 2.14/1.26  % lits                                  30
% 2.14/1.26  % lits eq                               8
% 2.14/1.26  % fd_pure                               0
% 2.14/1.26  % fd_pseudo                             0
% 2.14/1.26  % fd_cond                               0
% 2.14/1.26  % fd_pseudo_cond                        0
% 2.14/1.26  % AC symbols                            0
% 2.14/1.26  
% 2.14/1.26  % ------ Schedule dynamic 5 is on 
% 2.14/1.26  
% 2.14/1.26  % ------ no conjectures: strip conj schedule 
% 2.14/1.26  
% 2.14/1.26  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.14/1.26  
% 2.14/1.26  
% 2.14/1.26  % ------ 
% 2.14/1.26  % Current options:
% 2.14/1.26  % ------ 
% 2.14/1.26  
% 2.14/1.26  
% 2.14/1.26  % 
% 2.14/1.26  
% 2.14/1.26  % ------ Proving...
% 2.14/1.26  % 
% 2.14/1.26  
% 2.14/1.26  % SZS status Unsatisfiable for theBenchmark.p
% 2.14/1.26  
% 2.14/1.26  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.14/1.26  
% 2.14/1.26  
%------------------------------------------------------------------------------