TSTP Solution File: PUZ135_1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PUZ135_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n013.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 : Tue Aug 22 10:54:17 EDT 2023

% Result   : Theorem 4.54s 2.32s
% Output   : CNFRefutation 5.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  142 (  57 unt;  17 typ;   0 def)
%            Number of atoms       :  272 ( 264 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  233 (  86   ~; 129   |;  12   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    3 (   3 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-1 aty)
%            Number of variables   :   57 (;  57   !;   0   ?;  57   :)

% Comments : 
%------------------------------------------------------------------------------
%$ #nlpp > place_of > entry_of > third > second > reconstituted_materials_sculpture > laser_etching > holography > fourth > first > d > collage_painting > c > b > a

%Foreground sorts:
tff(entry,type,
    entry: $tType ).

tff(place,type,
    place: $tType ).

tff(knowheyan,type,
    knowheyan: $tType ).

%Background operators:

%Foreground operators:
tff(holography,type,
    holography: entry ).

tff(second,type,
    second: place ).

tff(entry_of,type,
    entry_of: knowheyan > entry ).

tff(reconstituted_materials_sculpture,type,
    reconstituted_materials_sculpture: entry ).

tff(fourth,type,
    fourth: place ).

tff(third,type,
    third: place ).

tff(laser_etching,type,
    laser_etching: entry ).

tff(first,type,
    first: place ).

tff(d,type,
    d: knowheyan ).

tff(collage_painting,type,
    collage_painting: entry ).

tff(place_of,type,
    place_of: knowheyan > place ).

tff(b,type,
    b: knowheyan ).

tff(a,type,
    a: knowheyan ).

tff(c,type,
    c: knowheyan ).

tff(f_54,axiom,
    b != c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_not_c) ).

tff(f_145,axiom,
    ! [X: knowheyan] :
      ( ( entry_of(X) = collage_painting )
     => ( ( X != a )
        & ( X != c )
        & ( place_of(X) != first )
        & ( place_of(X) != second ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',collage_info) ).

tff(f_50,axiom,
    a != c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).

tff(f_98,axiom,
    ! [X: entry] :
      ( ( X = collage_painting )
      | ( X = holography )
      | ( X = laser_etching )
      | ( X = reconstituted_materials_sculpture ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_entries) ).

tff(f_123,axiom,
    ( ( place_of(a) != first )
    & ( entry_of(a) != holography ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_info) ).

tff(f_169,axiom,
    ( ( entry_of(b) != laser_etching )
    & ! [X: knowheyan] :
        ( ( entry_of(X) = laser_etching )
       => ( ( X != a )
          & ( place_of(X) != second ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',laser_etching_info) ).

tff(f_177,negated_conjecture,
    ~ ( ( entry_of(a) = reconstituted_materials_sculpture )
      & ( entry_of(b) = holography )
      & ( entry_of(c) = laser_etching )
      & ( entry_of(d) = collage_painting ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',entries) ).

tff(f_112,axiom,
    ! [X: knowheyan,Y: knowheyan] :
      ( ( X != Y )
     => ( entry_of(X) != entry_of(Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_entrys) ).

tff(f_153,axiom,
    ( ( place_of(b) != fourth )
    & ! [X: knowheyan] :
        ( ( entry_of(X) = laser_etching )
       => ( place_of(X) != fourth ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fourth_info2) ).

tff(f_106,axiom,
    ! [X: place] :
      ( ( X = first )
      | ( X = second )
      | ( X = third )
      | ( X = fourth ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_places) ).

tff(f_158,axiom,
    ( ( place_of(b) != third )
    & ( place_of(c) != third ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',third_info) ).

tff(f_52,axiom,
    a != d,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_d) ).

tff(f_58,axiom,
    c != d,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_not_d) ).

tff(f_56,axiom,
    b != d,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_not_d) ).

tff(f_118,axiom,
    ! [X: knowheyan,Y: knowheyan] :
      ( ( X != Y )
     => ( place_of(X) != place_of(Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_places) ).

tff(f_131,axiom,
    ! [X: knowheyan] :
      ( ( place_of(X) = fourth )
     => ( ( entry_of(X) != reconstituted_materials_sculpture )
        & ( entry_of(X) != holography ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fourth_info) ).

tff(f_48,axiom,
    a != b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_b) ).

tff(c_8,plain,
    c != b,
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_60,plain,
    entry_of(c) != collage_painting,
    inference(cnfTransformation,[status(thm)],[f_145]) ).

tff(c_4,plain,
    c != a,
    inference(cnfTransformation,[status(thm)],[f_50]) ).

tff(c_3273,plain,
    ! [X_474: entry] :
      ( ( reconstituted_materials_sculpture = X_474 )
      | ( laser_etching = X_474 )
      | ( holography = X_474 )
      | ( collage_painting = X_474 ) ),
    inference(cnfTransformation,[status(thm)],[f_98]) ).

tff(c_62,plain,
    entry_of(a) != collage_painting,
    inference(cnfTransformation,[status(thm)],[f_145]) ).

tff(c_48,plain,
    entry_of(a) != holography,
    inference(cnfTransformation,[status(thm)],[f_123]) ).

tff(c_76,plain,
    entry_of(a) != laser_etching,
    inference(cnfTransformation,[status(thm)],[f_169]) ).

tff(c_114,plain,
    ! [X_22: entry] :
      ( ( reconstituted_materials_sculpture = X_22 )
      | ( laser_etching = X_22 )
      | ( holography = X_22 )
      | ( collage_painting = X_22 ) ),
    inference(cnfTransformation,[status(thm)],[f_98]) ).

tff(c_78,plain,
    ( ( entry_of(d) != collage_painting )
    | ( entry_of(c) != laser_etching )
    | ( entry_of(b) != holography )
    | ( entry_of(a) != reconstituted_materials_sculpture ) ),
    inference(cnfTransformation,[status(thm)],[f_177]) ).

tff(c_79,plain,
    entry_of(a) != reconstituted_materials_sculpture,
    inference(splitLeft,[status(thm)],[c_78]) ).

tff(c_147,plain,
    ( ( entry_of(a) = laser_etching )
    | ( entry_of(a) = holography )
    | ( entry_of(a) = collage_painting ) ),
    inference(superposition,[status(thm),theory(equality)],[c_114,c_79]) ).

tff(c_174,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_62,c_48,c_76,c_147]) ).

tff(c_176,plain,
    entry_of(a) = reconstituted_materials_sculpture,
    inference(splitRight,[status(thm)],[c_78]) ).

tff(c_2973,plain,
    ! [Y_421: knowheyan,X_422: knowheyan] :
      ( ( entry_of(Y_421) != entry_of(X_422) )
      | ( Y_421 = X_422 ) ),
    inference(cnfTransformation,[status(thm)],[f_112]) ).

tff(c_2991,plain,
    ! [Y_421: knowheyan] :
      ( ( entry_of(Y_421) != reconstituted_materials_sculpture )
      | ( a = Y_421 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_176,c_2973]) ).

tff(c_3613,plain,
    ! [Y_542: knowheyan] :
      ( ( a = Y_542 )
      | ( entry_of(Y_542) = laser_etching )
      | ( entry_of(Y_542) = holography )
      | ( entry_of(Y_542) = collage_painting ) ),
    inference(superposition,[status(thm),theory(equality)],[c_3273,c_2991]) ).

tff(c_66,plain,
    place_of(b) != fourth,
    inference(cnfTransformation,[status(thm)],[f_153]) ).

tff(c_2605,plain,
    ! [X_353: place] :
      ( ( fourth = X_353 )
      | ( third = X_353 )
      | ( second = X_353 )
      | ( first = X_353 ) ),
    inference(cnfTransformation,[status(thm)],[f_106]) ).

tff(c_70,plain,
    place_of(b) != third,
    inference(cnfTransformation,[status(thm)],[f_158]) ).

tff(c_2650,plain,
    ( ( place_of(b) = fourth )
    | ( place_of(b) = second )
    | ( place_of(b) = first ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2605,c_70]) ).

tff(c_2674,plain,
    ( ( place_of(b) = second )
    | ( place_of(b) = first ) ),
    inference(negUnitSimplification,[status(thm)],[c_66,c_2650]) ).

tff(c_2681,plain,
    place_of(b) = first,
    inference(splitLeft,[status(thm)],[c_2674]) ).

tff(c_58,plain,
    ! [X_9: knowheyan] :
      ( ( place_of(X_9) != first )
      | ( entry_of(X_9) != collage_painting ) ),
    inference(cnfTransformation,[status(thm)],[f_145]) ).

tff(c_2783,plain,
    entry_of(b) != collage_painting,
    inference(superposition,[status(thm),theory(equality)],[c_2681,c_58]) ).

tff(c_6,plain,
    d != a,
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_12,plain,
    d != c,
    inference(cnfTransformation,[status(thm)],[f_58]) ).

tff(c_10,plain,
    d != b,
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_918,plain,
    ! [X_217: entry] :
      ( ( reconstituted_materials_sculpture = X_217 )
      | ( laser_etching = X_217 )
      | ( holography = X_217 )
      | ( collage_painting = X_217 ) ),
    inference(cnfTransformation,[status(thm)],[f_98]) ).

tff(c_197,plain,
    ! [Y_77: knowheyan,X_78: knowheyan] :
      ( ( entry_of(Y_77) != entry_of(X_78) )
      | ( Y_77 = X_78 ) ),
    inference(cnfTransformation,[status(thm)],[f_112]) ).

tff(c_200,plain,
    ! [X_78: knowheyan] :
      ( ( entry_of(X_78) != reconstituted_materials_sculpture )
      | ( a = X_78 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_176,c_197]) ).

tff(c_977,plain,
    ! [X_78: knowheyan] :
      ( ( a = X_78 )
      | ( entry_of(X_78) = laser_etching )
      | ( entry_of(X_78) = holography )
      | ( entry_of(X_78) = collage_painting ) ),
    inference(superposition,[status(thm),theory(equality)],[c_918,c_200]) ).

tff(c_1051,plain,
    ! [X_265: knowheyan] :
      ( ( a = X_265 )
      | ( entry_of(X_265) = laser_etching )
      | ( entry_of(X_265) = holography )
      | ( entry_of(X_265) = collage_painting ) ),
    inference(superposition,[status(thm),theory(equality)],[c_918,c_200]) ).

tff(c_44,plain,
    ! [Y_5: knowheyan,X_4: knowheyan] :
      ( ( entry_of(Y_5) != entry_of(X_4) )
      | ( Y_5 = X_4 ) ),
    inference(cnfTransformation,[status(thm)],[f_112]) ).

tff(c_1106,plain,
    ! [Y_268: knowheyan,X_269: knowheyan] :
      ( ( entry_of(Y_268) != laser_etching )
      | ( Y_268 = X_269 )
      | ( a = X_269 )
      | ( entry_of(X_269) = holography )
      | ( entry_of(X_269) = collage_painting ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1051,c_44]) ).

tff(c_1239,plain,
    ! [X_286: knowheyan,X_285: knowheyan] :
      ( ( X_286 = X_285 )
      | ( a = X_286 )
      | ( entry_of(X_286) = holography )
      | ( entry_of(X_286) = collage_painting )
      | ( a = X_285 )
      | ( entry_of(X_285) = holography )
      | ( entry_of(X_285) = collage_painting ) ),
    inference(superposition,[status(thm),theory(equality)],[c_977,c_1106]) ).

tff(c_424,plain,
    ! [X_127: entry] :
      ( ( reconstituted_materials_sculpture = X_127 )
      | ( laser_etching = X_127 )
      | ( holography = X_127 )
      | ( collage_painting = X_127 ) ),
    inference(cnfTransformation,[status(thm)],[f_98]) ).

tff(c_480,plain,
    ! [X_78: knowheyan] :
      ( ( a = X_78 )
      | ( entry_of(X_78) = laser_etching )
      | ( entry_of(X_78) = holography )
      | ( entry_of(X_78) = collage_painting ) ),
    inference(superposition,[status(thm),theory(equality)],[c_424,c_200]) ).

tff(c_284,plain,
    ! [X_84: place] :
      ( ( fourth = X_84 )
      | ( third = X_84 )
      | ( second = X_84 )
      | ( first = X_84 ) ),
    inference(cnfTransformation,[status(thm)],[f_106]) ).

tff(c_68,plain,
    place_of(c) != third,
    inference(cnfTransformation,[status(thm)],[f_158]) ).

tff(c_349,plain,
    ( ( place_of(c) = fourth )
    | ( place_of(c) = second )
    | ( place_of(c) = first ) ),
    inference(superposition,[status(thm),theory(equality)],[c_284,c_68]) ).

tff(c_493,plain,
    place_of(c) = first,
    inference(splitLeft,[status(thm)],[c_349]) ).

tff(c_329,plain,
    ( ( place_of(b) = fourth )
    | ( place_of(b) = second )
    | ( place_of(b) = first ) ),
    inference(superposition,[status(thm),theory(equality)],[c_284,c_70]) ).

tff(c_353,plain,
    ( ( place_of(b) = second )
    | ( place_of(b) = first ) ),
    inference(negUnitSimplification,[status(thm)],[c_66,c_329]) ).

tff(c_360,plain,
    place_of(b) = first,
    inference(splitLeft,[status(thm)],[c_353]) ).

tff(c_46,plain,
    ! [Y_7: knowheyan,X_6: knowheyan] :
      ( ( place_of(Y_7) != place_of(X_6) )
      | ( Y_7 = X_6 ) ),
    inference(cnfTransformation,[status(thm)],[f_118]) ).

tff(c_375,plain,
    ! [X_6: knowheyan] :
      ( ( place_of(X_6) != first )
      | ( b = X_6 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_360,c_46]) ).

tff(c_498,plain,
    c = b,
    inference(superposition,[status(thm),theory(equality)],[c_493,c_375]) ).

tff(c_531,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8,c_498]) ).

tff(c_532,plain,
    ( ( place_of(c) = second )
    | ( place_of(c) = fourth ) ),
    inference(splitRight,[status(thm)],[c_349]) ).

tff(c_546,plain,
    place_of(c) = fourth,
    inference(splitLeft,[status(thm)],[c_532]) ).

tff(c_52,plain,
    ! [X_8: knowheyan] :
      ( ( entry_of(X_8) != holography )
      | ( place_of(X_8) != fourth ) ),
    inference(cnfTransformation,[status(thm)],[f_131]) ).

tff(c_583,plain,
    entry_of(c) != holography,
    inference(superposition,[status(thm),theory(equality)],[c_546,c_52]) ).

tff(c_64,plain,
    ! [X_10: knowheyan] :
      ( ( place_of(X_10) != fourth )
      | ( entry_of(X_10) != laser_etching ) ),
    inference(cnfTransformation,[status(thm)],[f_153]) ).

tff(c_585,plain,
    entry_of(c) != laser_etching,
    inference(superposition,[status(thm),theory(equality)],[c_546,c_64]) ).

tff(c_40,plain,
    ! [X_2: entry] :
      ( ( reconstituted_materials_sculpture = X_2 )
      | ( laser_etching = X_2 )
      | ( holography = X_2 )
      | ( collage_painting = X_2 ) ),
    inference(cnfTransformation,[status(thm)],[f_98]) ).

tff(c_54,plain,
    ! [X_8: knowheyan] :
      ( ( entry_of(X_8) != reconstituted_materials_sculpture )
      | ( place_of(X_8) != fourth ) ),
    inference(cnfTransformation,[status(thm)],[f_131]) ).

tff(c_584,plain,
    entry_of(c) != reconstituted_materials_sculpture,
    inference(superposition,[status(thm),theory(equality)],[c_546,c_54]) ).

tff(c_608,plain,
    ( ( entry_of(c) = laser_etching )
    | ( entry_of(c) = holography )
    | ( entry_of(c) = collage_painting ) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_584]) ).

tff(c_612,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_60,c_583,c_585,c_608]) ).

tff(c_613,plain,
    place_of(c) = second,
    inference(splitRight,[status(thm)],[c_532]) ).

tff(c_74,plain,
    ! [X_11: knowheyan] :
      ( ( place_of(X_11) != second )
      | ( entry_of(X_11) != laser_etching ) ),
    inference(cnfTransformation,[status(thm)],[f_169]) ).

tff(c_656,plain,
    entry_of(c) != laser_etching,
    inference(superposition,[status(thm),theory(equality)],[c_613,c_74]) ).

tff(c_726,plain,
    ( ( c = a )
    | ( entry_of(c) = holography )
    | ( entry_of(c) = collage_painting ) ),
    inference(superposition,[status(thm),theory(equality)],[c_480,c_656]) ).

tff(c_732,plain,
    entry_of(c) = holography,
    inference(negUnitSimplification,[status(thm)],[c_60,c_4,c_726]) ).

tff(c_393,plain,
    entry_of(b) != collage_painting,
    inference(superposition,[status(thm),theory(equality)],[c_360,c_58]) ).

tff(c_2,plain,
    b != a,
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_669,plain,
    ! [X_192: knowheyan] :
      ( ( a = X_192 )
      | ( entry_of(X_192) = laser_etching )
      | ( entry_of(X_192) = holography )
      | ( entry_of(X_192) = collage_painting ) ),
    inference(superposition,[status(thm),theory(equality)],[c_424,c_200]) ).

tff(c_72,plain,
    entry_of(b) != laser_etching,
    inference(cnfTransformation,[status(thm)],[f_169]) ).

tff(c_696,plain,
    ( ( b = a )
    | ( entry_of(b) = holography )
    | ( entry_of(b) = collage_painting ) ),
    inference(superposition,[status(thm),theory(equality)],[c_669,c_72]) ).

tff(c_715,plain,
    entry_of(b) = holography,
    inference(negUnitSimplification,[status(thm)],[c_393,c_2,c_696]) ).

tff(c_826,plain,
    ! [Y_208: knowheyan] :
      ( ( entry_of(Y_208) != holography )
      | ( b = Y_208 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_715,c_44]) ).

tff(c_829,plain,
    c = b,
    inference(superposition,[status(thm),theory(equality)],[c_732,c_826]) ).

tff(c_845,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8,c_829]) ).

tff(c_846,plain,
    place_of(b) = second,
    inference(splitRight,[status(thm)],[c_353]) ).

tff(c_56,plain,
    ! [X_9: knowheyan] :
      ( ( place_of(X_9) != second )
      | ( entry_of(X_9) != collage_painting ) ),
    inference(cnfTransformation,[status(thm)],[f_145]) ).

tff(c_881,plain,
    entry_of(b) != collage_painting,
    inference(superposition,[status(thm),theory(equality)],[c_846,c_56]) ).

tff(c_1078,plain,
    ( ( b = a )
    | ( entry_of(b) = holography )
    | ( entry_of(b) = collage_painting ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1051,c_72]) ).

tff(c_1097,plain,
    entry_of(b) = holography,
    inference(negUnitSimplification,[status(thm)],[c_881,c_2,c_1078]) ).

tff(c_1131,plain,
    ! [X_4: knowheyan] :
      ( ( entry_of(X_4) != holography )
      | ( b = X_4 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1097,c_44]) ).

tff(c_1633,plain,
    ! [X_289: knowheyan,X_290: knowheyan] :
      ( ( b = X_289 )
      | ( X_290 = X_289 )
      | ( a = X_289 )
      | ( entry_of(X_289) = collage_painting )
      | ( a = X_290 )
      | ( entry_of(X_290) = holography )
      | ( entry_of(X_290) = collage_painting ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1239,c_1131]) ).

tff(c_1884,plain,
    ! [X_290: knowheyan] :
      ( ( c = b )
      | ( c = X_290 )
      | ( c = a )
      | ( a = X_290 )
      | ( entry_of(X_290) = holography )
      | ( entry_of(X_290) = collage_painting ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1633,c_60]) ).

tff(c_2086,plain,
    ! [X_293: knowheyan] :
      ( ( c = X_293 )
      | ( a = X_293 )
      | ( entry_of(X_293) = holography )
      | ( entry_of(X_293) = collage_painting ) ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_8,c_1884]) ).

tff(c_2223,plain,
    ! [X_296: knowheyan] :
      ( ( b = X_296 )
      | ( c = X_296 )
      | ( a = X_296 )
      | ( entry_of(X_296) = collage_painting ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2086,c_1131]) ).

tff(c_175,plain,
    ( ( entry_of(b) != holography )
    | ( entry_of(c) != laser_etching )
    | ( entry_of(d) != collage_painting ) ),
    inference(splitRight,[status(thm)],[c_78]) ).

tff(c_182,plain,
    entry_of(d) != collage_painting,
    inference(splitLeft,[status(thm)],[c_175]) ).

tff(c_2269,plain,
    ( ( d = b )
    | ( d = c )
    | ( d = a ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2223,c_182]) ).

tff(c_2367,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_6,c_12,c_10,c_2269]) ).

tff(c_2368,plain,
    ( ( entry_of(c) != laser_etching )
    | ( entry_of(b) != holography ) ),
    inference(splitRight,[status(thm)],[c_175]) ).

tff(c_2376,plain,
    entry_of(b) != holography,
    inference(splitLeft,[status(thm)],[c_2368]) ).

tff(c_2514,plain,
    ! [X_312: entry] :
      ( ( reconstituted_materials_sculpture = X_312 )
      | ( laser_etching = X_312 )
      | ( holography = X_312 )
      | ( collage_painting = X_312 ) ),
    inference(cnfTransformation,[status(thm)],[f_98]) ).

tff(c_2390,plain,
    ! [Y_305: knowheyan,X_306: knowheyan] :
      ( ( entry_of(Y_305) != entry_of(X_306) )
      | ( Y_305 = X_306 ) ),
    inference(cnfTransformation,[status(thm)],[f_112]) ).

tff(c_2399,plain,
    ! [X_306: knowheyan] :
      ( ( entry_of(X_306) != reconstituted_materials_sculpture )
      | ( a = X_306 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_176,c_2390]) ).

tff(c_2690,plain,
    ! [X_396: knowheyan] :
      ( ( a = X_396 )
      | ( entry_of(X_396) = laser_etching )
      | ( entry_of(X_396) = holography )
      | ( entry_of(X_396) = collage_painting ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2514,c_2399]) ).

tff(c_2717,plain,
    ( ( b = a )
    | ( entry_of(b) = holography )
    | ( entry_of(b) = collage_painting ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2690,c_72]) ).

tff(c_2740,plain,
    entry_of(b) = collage_painting,
    inference(negUnitSimplification,[status(thm)],[c_2376,c_2,c_2717]) ).

tff(c_2795,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2783,c_2740]) ).

tff(c_2796,plain,
    place_of(b) = second,
    inference(splitRight,[status(thm)],[c_2674]) ).

tff(c_2831,plain,
    entry_of(b) != collage_painting,
    inference(superposition,[status(thm),theory(equality)],[c_2796,c_56]) ).

tff(c_2897,plain,
    ! [X_412: knowheyan] :
      ( ( a = X_412 )
      | ( entry_of(X_412) = laser_etching )
      | ( entry_of(X_412) = holography )
      | ( entry_of(X_412) = collage_painting ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2514,c_2399]) ).

tff(c_2927,plain,
    ( ( b = a )
    | ( entry_of(b) = holography )
    | ( entry_of(b) = collage_painting ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2897,c_72]) ).

tff(c_2952,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2831,c_2376,c_2,c_2927]) ).

tff(c_2953,plain,
    entry_of(c) != laser_etching,
    inference(splitRight,[status(thm)],[c_2368]) ).

tff(c_3634,plain,
    ( ( c = a )
    | ( entry_of(c) = holography )
    | ( entry_of(c) = collage_painting ) ),
    inference(superposition,[status(thm),theory(equality)],[c_3613,c_2953]) ).

tff(c_3665,plain,
    entry_of(c) = holography,
    inference(negUnitSimplification,[status(thm)],[c_60,c_4,c_3634]) ).

tff(c_2954,plain,
    entry_of(b) = holography,
    inference(splitRight,[status(thm)],[c_2368]) ).

tff(c_2976,plain,
    ! [X_422: knowheyan] :
      ( ( entry_of(X_422) != holography )
      | ( b = X_422 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2954,c_2973]) ).

tff(c_3712,plain,
    c = b,
    inference(superposition,[status(thm),theory(equality)],[c_3665,c_2976]) ).

tff(c_3734,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8,c_3712]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : PUZ135_1 : TPTP v8.1.2. Released v5.1.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36  % Computer : n013.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 17:35:47 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 4.54/2.32  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.54/2.33  
% 4.54/2.33  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.70/2.38  
% 5.70/2.38  Inference rules
% 5.84/2.38  ----------------------
% 5.84/2.38  #Ref     : 8
% 5.84/2.38  #Sup     : 706
% 5.84/2.38  #Fact    : 59
% 5.84/2.38  #Define  : 0
% 5.84/2.38  #Split   : 12
% 5.84/2.38  #Chain   : 0
% 5.84/2.38  #Close   : 0
% 5.84/2.38  
% 5.84/2.38  Ordering : KBO
% 5.84/2.38  
% 5.84/2.38  Simplification rules
% 5.84/2.38  ----------------------
% 5.84/2.38  #Subsume      : 374
% 5.84/2.38  #Demod        : 184
% 5.84/2.38  #Tautology    : 271
% 5.84/2.38  #SimpNegUnit  : 281
% 5.84/2.38  #BackRed      : 33
% 5.84/2.38  
% 5.84/2.38  #Partial instantiations: 2648
% 5.84/2.38  #Strategies tried      : 1
% 5.84/2.38  
% 5.84/2.38  Timing (in seconds)
% 5.84/2.38  ----------------------
% 5.84/2.39  Preprocessing        : 0.56
% 5.84/2.39  Parsing              : 0.31
% 5.84/2.39  CNF conversion       : 0.03
% 5.84/2.39  Main loop            : 0.73
% 5.84/2.39  Inferencing          : 0.30
% 5.84/2.39  Reduction            : 0.17
% 5.84/2.39  Demodulation         : 0.10
% 5.84/2.39  BG Simplification    : 0.03
% 5.84/2.39  Subsumption          : 0.17
% 5.84/2.39  Abstraction          : 0.03
% 5.84/2.39  MUC search           : 0.00
% 5.84/2.39  Cooper               : 0.00
% 5.84/2.39  Total                : 1.36
% 5.84/2.39  Index Insertion      : 0.00
% 5.84/2.39  Index Deletion       : 0.00
% 5.84/2.39  Index Matching       : 0.00
% 5.84/2.39  BG Taut test         : 0.00
%------------------------------------------------------------------------------