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Prover9---2026-6A.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : SWC054-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p

% 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 : Sun Sep 27 08:56:41 AM UTC 2026

% Result   : Unsatisfiable 40.21s 5.58s
% Output   : CNFRefutation 40.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  129 (  30 unt;   0 def)
%            Number of atoms       :  279 (  86 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  265 ( 115   ~; 150   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   19 (   0 sgn   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1_14,axiom,
    ( neq(sk2,nil)
    | nil != sk1 ),
    file('theBenchmark.p',co1_14) ).

cnf(c_53,plain,
    ( neq(sk2,nil)
    | nil != sk1 ),
    inference(clausify,[status(thm)],[co1_14]) ).

cnf(c_54,plain,
    ( neq(sk2,nil)
    | sk1 != nil ),
    inference(copy,[status(thm)],[c_53]) ).

fof(co1_13,axiom,
    ! [VAR_0] :
      ( ~ segmentP(sk1,VAR_0)
      | ~ segmentP(sk2,VAR_0)
      | ~ neq(VAR_0,nil)
      | ~ ssList(VAR_0)
      | nil = sk2 ),
    file('theBenchmark.p',co1_13) ).

cnf(c_55,plain,
    ( ~ segmentP(sk1,A)
    | ~ segmentP(sk2,A)
    | ~ neq(A,nil)
    | ~ ssList(A)
    | nil = sk2 ),
    inference(clausify,[status(thm)],[co1_13]) ).

cnf(c_56,plain,
    ( ~ segmentP(sk1,A)
    | ~ segmentP(sk2,A)
    | ~ neq(A,nil)
    | ~ ssList(A)
    | sk2 = nil ),
    inference(copy,[status(thm)],[c_55]) ).

fof(co1_12,axiom,
    ( neq(sk2,nil)
    | nil = sk2 ),
    file('theBenchmark.p',co1_12) ).

cnf(c_57,plain,
    ( neq(sk2,nil)
    | nil = sk2 ),
    inference(clausify,[status(thm)],[co1_12]) ).

cnf(c_58,plain,
    ( neq(sk2,nil)
    | sk2 = nil ),
    inference(copy,[status(thm)],[c_57]) ).

fof(co1_11,axiom,
    ( ~ neq(sk4,nil)
    | segmentP(sk3,sk5) ),
    file('theBenchmark.p',co1_11) ).

cnf(c_59,plain,
    ( ~ neq(sk4,nil)
    | segmentP(sk3,sk5) ),
    inference(clausify,[status(thm)],[co1_11]) ).

fof(co1_10,axiom,
    ( ~ neq(sk4,nil)
    | segmentP(sk4,sk5) ),
    file('theBenchmark.p',co1_10) ).

cnf(c_60,plain,
    ( ~ neq(sk4,nil)
    | segmentP(sk4,sk5) ),
    inference(clausify,[status(thm)],[co1_10]) ).

fof(co1_9,axiom,
    ( ~ neq(sk4,nil)
    | neq(sk5,nil) ),
    file('theBenchmark.p',co1_9) ).

cnf(c_61,plain,
    ( ~ neq(sk4,nil)
    | neq(sk5,nil) ),
    inference(clausify,[status(thm)],[co1_9]) ).

fof(co1_8,axiom,
    ( ~ neq(sk4,nil)
    | ssList(sk5) ),
    file('theBenchmark.p',co1_8) ).

cnf(c_62,plain,
    ( ~ neq(sk4,nil)
    | ssList(sk5) ),
    inference(clausify,[status(thm)],[co1_8]) ).

fof(co1_7,axiom,
    ( nil != sk4
    | nil = sk3 ),
    file('theBenchmark.p',co1_7) ).

cnf(c_63,plain,
    ( nil != sk4
    | nil = sk3 ),
    inference(clausify,[status(thm)],[co1_7]) ).

cnf(c_19162,plain,
    ( nil != sk4
    | sk3 = nil ),
    inference(copy,[status(thm)],[c_63]) ).

cnf(c_64,plain,
    ( sk4 != nil
    | sk3 = nil ),
    inference(copy,[status(thm)],[c_19162]) ).

fof(co1_6,axiom,
    sk1 = sk3,
    file('theBenchmark.p',co1_6) ).

cnf(c_65,plain,
    sk1 = sk3,
    inference(clausify,[status(thm)],[co1_6]) ).

cnf(c_66,plain,
    sk3 = sk1,
    inference(copy,[status(thm)],[c_65]) ).

fof(co1_5,axiom,
    sk2 = sk4,
    file('theBenchmark.p',co1_5) ).

cnf(c_67,plain,
    sk2 = sk4,
    inference(clausify,[status(thm)],[co1_5]) ).

fof(co1_4,axiom,
    ssList(sk4),
    file('theBenchmark.p',co1_4) ).

cnf(c_68,plain,
    ssList(sk4),
    inference(clausify,[status(thm)],[co1_4]) ).

fof(co1_3,axiom,
    ssList(sk3),
    file('theBenchmark.p',co1_3) ).

cnf(c_69,plain,
    ssList(sk3),
    inference(clausify,[status(thm)],[co1_3]) ).

fof(co1_2,axiom,
    ssList(sk2),
    file('theBenchmark.p',co1_2) ).

cnf(c_70,plain,
    ssList(sk2),
    inference(clausify,[status(thm)],[co1_2]) ).

fof(co1_1,axiom,
    ssList(sk1),
    file('theBenchmark.p',co1_1) ).

cnf(c_71,plain,
    ssList(sk1),
    inference(clausify,[status(thm)],[co1_1]) ).

fof(clause128,axiom,
    ! [VAR_0,VAR_1] :
      ( VAR_1 = VAR_0
      | ~ ssList(VAR_1)
      | ~ ssList(VAR_0)
      | ~ rearsegP(VAR_1,VAR_0)
      | ~ rearsegP(VAR_0,VAR_1) ),
    file('theBenchmark.p',clause128) ).

cnf(c_120,plain,
    ( B = A
    | ~ ssList(B)
    | ~ ssList(A)
    | ~ rearsegP(B,A)
    | ~ rearsegP(A,B) ),
    inference(clausify,[status(thm)],[clause128]) ).

fof(clause115,axiom,
    ! [VAR_0,VAR_1] :
      ( ~ ssList(VAR_0)
      | ~ ssList(VAR_1)
      | ~ neq(VAR_0,VAR_1)
      | VAR_0 != VAR_1 ),
    file('theBenchmark.p',clause115) ).

cnf(c_132,plain,
    ( ~ ssList(A)
    | ~ ssList(B)
    | ~ neq(A,B)
    | A != B ),
    inference(clausify,[status(thm)],[clause115]) ).

fof(clause84,axiom,
    ! [VAR_0] :
      ( nil = VAR_0
      | ~ ssList(VAR_0)
      | ~ frontsegP(nil,VAR_0) ),
    file('theBenchmark.p',clause84) ).

cnf(c_156,plain,
    ( nil = A
    | ~ ssList(A)
    | ~ frontsegP(nil,A) ),
    inference(clausify,[status(thm)],[clause84]) ).

fof(clause83,axiom,
    ! [VAR_0] :
      ( frontsegP(nil,VAR_0)
      | ~ ssList(VAR_0)
      | nil != VAR_0 ),
    file('theBenchmark.p',clause83) ).

cnf(c_157,plain,
    ( frontsegP(nil,A)
    | ~ ssList(A)
    | nil != A ),
    inference(clausify,[status(thm)],[clause83]) ).

fof(clause81,axiom,
    ! [VAR_0] :
      ( rearsegP(nil,VAR_0)
      | ~ ssList(VAR_0)
      | nil != VAR_0 ),
    file('theBenchmark.p',clause81) ).

cnf(c_159,plain,
    ( rearsegP(nil,A)
    | ~ ssList(A)
    | nil != A ),
    inference(clausify,[status(thm)],[clause81]) ).

fof(clause58,axiom,
    ! [VAR_0] :
      ( rearsegP(VAR_0,nil)
      | ~ ssList(VAR_0) ),
    file('theBenchmark.p',clause58) ).

cnf(c_174,plain,
    ( rearsegP(A,nil)
    | ~ ssList(A) ),
    inference(clausify,[status(thm)],[clause58]) ).

fof(clause8,axiom,
    ssList(nil),
    file('theBenchmark.p',clause8) ).

cnf(c_224,plain,
    ssList(nil),
    inference(clausify,[status(thm)],[clause8]) ).

cnf(c_836,plain,
    ( neq(sk4,nil)
    | sk2 = nil ),
    inference(paramod,[status(thm)],[c_67,c_58]) ).

cnf(c_19163,plain,
    ( frontsegP(nil,sk2)
    | nil != sk2 ),
    inference(resolve,[status(thm)],[c_157,c_70]) ).

cnf(c_1066,plain,
    ( frontsegP(nil,sk2)
    | sk2 != nil ),
    inference(copy,[status(thm)],[c_19163]) ).

cnf(c_19164,plain,
    ( frontsegP(nil,sk3)
    | nil != sk3 ),
    inference(resolve,[status(thm)],[c_157,c_69]) ).

cnf(c_1067,plain,
    ( frontsegP(nil,sk3)
    | sk3 != nil ),
    inference(copy,[status(thm)],[c_19164]) ).

cnf(c_19165,plain,
    ( rearsegP(nil,sk2)
    | nil != sk2 ),
    inference(resolve,[status(thm)],[c_159,c_70]) ).

cnf(c_1070,plain,
    ( rearsegP(nil,sk2)
    | sk2 != nil ),
    inference(copy,[status(thm)],[c_19165]) ).

cnf(c_19166,plain,
    ( rearsegP(nil,sk3)
    | nil != sk3 ),
    inference(resolve,[status(thm)],[c_159,c_69]) ).

cnf(c_1071,plain,
    ( rearsegP(nil,sk3)
    | sk3 != nil ),
    inference(copy,[status(thm)],[c_19166]) ).

cnf(c_1105,plain,
    rearsegP(sk1,nil),
    inference(resolve,[status(thm)],[c_174,c_71]) ).

cnf(c_1108,plain,
    rearsegP(sk4,nil),
    inference(resolve,[status(thm)],[c_174,c_68]) ).

cnf(c_11498,plain,
    ( ssList(sk5)
    | sk2 = nil ),
    inference(resolve,[status(thm)],[c_836,c_62]) ).

cnf(c_11499,plain,
    ( neq(sk5,nil)
    | sk2 = nil ),
    inference(resolve,[status(thm)],[c_836,c_61]) ).

cnf(c_11500,plain,
    ( segmentP(sk4,sk5)
    | sk2 = nil ),
    inference(resolve,[status(thm)],[c_836,c_60]) ).

cnf(c_11501,plain,
    ( segmentP(sk3,sk5)
    | sk2 = nil ),
    inference(resolve,[status(thm)],[c_836,c_59]) ).

cnf(c_19167,plain,
    ( sk1 = nil
    | ~ ssList(sk1)
    | ~ ssList(nil)
    | ~ rearsegP(nil,sk1) ),
    inference(resolve,[status(thm)],[c_1105,c_120]) ).

cnf(c_19168,plain,
    ( sk1 = nil
    | ~ ssList(sk1)
    | ~ rearsegP(nil,sk1) ),
    inference(resolve,[status(thm)],[c_224,c_19167]) ).

cnf(c_11909,plain,
    ( sk1 = nil
    | ~ rearsegP(nil,sk1) ),
    inference(resolve,[status(thm)],[c_71,c_19168]) ).

cnf(c_19169,plain,
    ( sk4 = nil
    | ~ ssList(sk4)
    | ~ ssList(nil)
    | ~ rearsegP(nil,sk4) ),
    inference(resolve,[status(thm)],[c_1108,c_120]) ).

cnf(c_19170,plain,
    ( sk4 = nil
    | ~ ssList(sk4)
    | ~ rearsegP(nil,sk4) ),
    inference(resolve,[status(thm)],[c_224,c_19169]) ).

cnf(c_11927,plain,
    ( sk4 = nil
    | ~ rearsegP(nil,sk4) ),
    inference(resolve,[status(thm)],[c_68,c_19170]) ).

cnf(c_14012,plain,
    ( ssList(sk5)
    | frontsegP(nil,sk2) ),
    inference(resolve,[status(thm)],[c_1066,c_11498]) ).

cnf(c_14160,plain,
    ( ssList(sk5)
    | frontsegP(nil,sk4) ),
    inference(paramod,[status(thm)],[c_67,c_14012]) ).

cnf(c_19171,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | ssList(sk5) ),
    inference(resolve,[status(thm)],[c_14160,c_156]) ).

cnf(c_19172,plain,
    ( sk4 = nil
    | ~ ssList(sk4)
    | ssList(sk5) ),
    inference(copy,[status(thm)],[c_19171]) ).

cnf(c_14190,plain,
    ( sk4 = nil
    | ssList(sk5) ),
    inference(resolve,[status(thm)],[c_68,c_19172]) ).

cnf(c_14870,plain,
    ( sk3 = nil
    | ssList(sk5) ),
    inference(resolve,[status(thm)],[c_14190,c_64]) ).

cnf(c_15076,plain,
    ( ssList(sk5)
    | frontsegP(nil,sk3) ),
    inference(resolve,[status(thm)],[c_1067,c_14870]) ).

cnf(c_15224,plain,
    ( ssList(sk5)
    | frontsegP(nil,sk1) ),
    inference(paramod,[status(thm)],[c_66,c_15076]) ).

cnf(c_19173,plain,
    ( nil = sk1
    | ~ ssList(sk1)
    | ssList(sk5) ),
    inference(resolve,[status(thm)],[c_15224,c_156]) ).

cnf(c_19174,plain,
    ( sk1 = nil
    | ~ ssList(sk1)
    | ssList(sk5) ),
    inference(copy,[status(thm)],[c_19173]) ).

cnf(c_15260,plain,
    ( sk1 = nil
    | ssList(sk5) ),
    inference(resolve,[status(thm)],[c_71,c_19174]) ).

cnf(c_15574,plain,
    ( neq(sk2,nil)
    | ssList(sk5) ),
    inference(resolve,[status(thm)],[c_15260,c_54]) ).

cnf(c_19175,plain,
    ( ~ ssList(sk2)
    | ~ ssList(nil)
    | sk2 != nil
    | ssList(sk5) ),
    inference(resolve,[status(thm)],[c_15574,c_132]) ).

cnf(c_19176,plain,
    ( ~ ssList(sk2)
    | sk2 != nil
    | ssList(sk5) ),
    inference(resolve,[status(thm)],[c_224,c_19175]) ).

cnf(c_16099,plain,
    ( sk2 != nil
    | ssList(sk5) ),
    inference(resolve,[status(thm)],[c_70,c_19176]) ).

cnf(c_19177,plain,
    ( ssList(sk5)
    | ssList(sk5) ),
    inference(resolve,[status(thm)],[c_16099,c_11498]) ).

cnf(c_16139,plain,
    ssList(sk5),
    inference(copy,[status(thm)],[c_19177]) ).

cnf(c_19178,plain,
    ( ~ segmentP(sk1,sk5)
    | ~ segmentP(sk2,sk5)
    | ~ ssList(sk5)
    | sk2 = nil
    | sk2 = nil ),
    inference(resolve,[status(thm)],[c_11499,c_56]) ).

cnf(c_19179,plain,
    ( ~ segmentP(sk1,sk5)
    | ~ segmentP(sk2,sk5)
    | ~ ssList(sk5)
    | sk2 = nil ),
    inference(copy,[status(thm)],[c_19178]) ).

cnf(c_16702,plain,
    ( ~ segmentP(sk1,sk5)
    | ~ segmentP(sk2,sk5)
    | sk2 = nil ),
    inference(resolve,[status(thm)],[c_16139,c_19179]) ).

cnf(c_16704,plain,
    ( rearsegP(nil,sk2)
    | segmentP(sk4,sk5) ),
    inference(resolve,[status(thm)],[c_11500,c_1070]) ).

cnf(c_16721,plain,
    ( rearsegP(nil,sk2)
    | segmentP(sk3,sk5) ),
    inference(resolve,[status(thm)],[c_11501,c_1070]) ).

cnf(c_17227,plain,
    ( rearsegP(nil,sk4)
    | segmentP(sk4,sk5) ),
    inference(paramod,[status(thm)],[c_67,c_16704]) ).

cnf(c_17354,plain,
    ( rearsegP(nil,sk4)
    | segmentP(sk3,sk5) ),
    inference(paramod,[status(thm)],[c_67,c_16721]) ).

cnf(c_17527,plain,
    ( sk4 = nil
    | segmentP(sk4,sk5) ),
    inference(resolve,[status(thm)],[c_17227,c_11927]) ).

cnf(c_17575,plain,
    ( sk4 = nil
    | segmentP(sk3,sk5) ),
    inference(resolve,[status(thm)],[c_17354,c_11927]) ).

cnf(c_17697,plain,
    ( sk3 = nil
    | segmentP(sk4,sk5) ),
    inference(resolve,[status(thm)],[c_17527,c_64]) ).

cnf(c_17714,plain,
    ( sk3 = nil
    | segmentP(sk3,sk5) ),
    inference(resolve,[status(thm)],[c_17575,c_64]) ).

cnf(c_17857,plain,
    ( rearsegP(nil,sk3)
    | segmentP(sk4,sk5) ),
    inference(resolve,[status(thm)],[c_17697,c_1071]) ).

cnf(c_17925,plain,
    ( rearsegP(nil,sk3)
    | segmentP(sk3,sk5) ),
    inference(resolve,[status(thm)],[c_17714,c_1071]) ).

cnf(c_18040,plain,
    ( rearsegP(nil,sk1)
    | segmentP(sk4,sk5) ),
    inference(paramod,[status(thm)],[c_66,c_17857]) ).

cnf(c_18160,plain,
    ( rearsegP(nil,sk1)
    | segmentP(sk3,sk5) ),
    inference(paramod,[status(thm)],[c_66,c_17925]) ).

cnf(c_18219,plain,
    ( sk1 = nil
    | segmentP(sk4,sk5) ),
    inference(resolve,[status(thm)],[c_18040,c_11909]) ).

cnf(c_18267,plain,
    ( sk1 = nil
    | segmentP(sk3,sk5) ),
    inference(resolve,[status(thm)],[c_18160,c_11909]) ).

cnf(c_18362,plain,
    ( neq(sk2,nil)
    | segmentP(sk4,sk5) ),
    inference(resolve,[status(thm)],[c_18219,c_54]) ).

cnf(c_18379,plain,
    ( neq(sk2,nil)
    | segmentP(sk3,sk5) ),
    inference(resolve,[status(thm)],[c_18267,c_54]) ).

cnf(c_19180,plain,
    ( ~ ssList(sk2)
    | ~ ssList(nil)
    | sk2 != nil
    | segmentP(sk4,sk5) ),
    inference(resolve,[status(thm)],[c_18362,c_132]) ).

cnf(c_19181,plain,
    ( ~ ssList(sk2)
    | sk2 != nil
    | segmentP(sk4,sk5) ),
    inference(resolve,[status(thm)],[c_224,c_19180]) ).

cnf(c_18514,plain,
    ( sk2 != nil
    | segmentP(sk4,sk5) ),
    inference(resolve,[status(thm)],[c_70,c_19181]) ).

cnf(c_19182,plain,
    ( ~ ssList(sk2)
    | ~ ssList(nil)
    | sk2 != nil
    | segmentP(sk3,sk5) ),
    inference(resolve,[status(thm)],[c_18379,c_132]) ).

cnf(c_19183,plain,
    ( ~ ssList(sk2)
    | sk2 != nil
    | segmentP(sk3,sk5) ),
    inference(resolve,[status(thm)],[c_224,c_19182]) ).

cnf(c_18582,plain,
    ( sk2 != nil
    | segmentP(sk3,sk5) ),
    inference(resolve,[status(thm)],[c_70,c_19183]) ).

cnf(c_19184,plain,
    ( segmentP(sk4,sk5)
    | segmentP(sk4,sk5) ),
    inference(resolve,[status(thm)],[c_18514,c_11500]) ).

cnf(c_18602,plain,
    segmentP(sk4,sk5),
    inference(copy,[status(thm)],[c_19184]) ).

cnf(c_19185,plain,
    ( segmentP(sk3,sk5)
    | segmentP(sk3,sk5) ),
    inference(resolve,[status(thm)],[c_18582,c_11501]) ).

cnf(c_18679,plain,
    segmentP(sk3,sk5),
    inference(copy,[status(thm)],[c_19185]) ).

cnf(c_18694,plain,
    segmentP(sk1,sk5),
    inference(paramod,[status(thm)],[c_66,c_18679]) ).

cnf(c_18698,plain,
    ( ~ segmentP(sk2,sk5)
    | sk2 = nil ),
    inference(resolve,[status(thm)],[c_18694,c_16702]) ).

cnf(c_19186,plain,
    ( ~ segmentP(sk4,sk5)
    | sk2 = nil ),
    inference(paramod,[status(thm)],[c_67,c_18698]) ).

cnf(c_18763,plain,
    sk2 = nil,
    inference(resolve,[status(thm)],[c_18602,c_19186]) ).

cnf(c_19187,plain,
    nil = sk4,
    inference(paramod,[status(thm)],[c_18763,c_67]) ).

cnf(c_18770,plain,
    sk4 = nil,
    inference(copy,[status(thm)],[c_19187]) ).

cnf(c_18781,plain,
    sk3 = nil,
    inference(resolve,[status(thm)],[c_18770,c_64]) ).

cnf(c_19188,plain,
    nil = sk1,
    inference(paramod,[status(thm)],[c_18781,c_66]) ).

cnf(c_18899,plain,
    sk1 = nil,
    inference(copy,[status(thm)],[c_19188]) ).

cnf(c_18911,plain,
    neq(sk2,nil),
    inference(resolve,[status(thm)],[c_18899,c_54]) ).

cnf(c_19189,plain,
    ( ~ ssList(sk2)
    | ~ ssList(nil)
    | sk2 != nil ),
    inference(resolve,[status(thm)],[c_18911,c_132]) ).

cnf(c_19190,plain,
    ( ~ ssList(sk2)
    | ~ ssList(nil) ),
    inference(resolve,[status(thm)],[c_18763,c_19189]) ).

cnf(c_19191,plain,
    ~ ssList(sk2),
    inference(resolve,[status(thm)],[c_224,c_19190]) ).

cnf(c_19161,plain,
    $false,
    inference(resolve,[status(thm)],[c_70,c_19191]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWC054-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.42  % Computer : n005.cluster.edu
% 0.14/0.42  % Model    : x86_64 x86_64
% 0.14/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42  % Memory   : 8046.5625MB
% 0.14/0.42  % OS       : Linux 6.8.0-71-generic
% 0.14/0.42  % CPULimit : 300
% 0.14/0.42  % WCLimit  : 300
% 0.14/0.42  % DateTime : Sat Sep 26 12:08:31 UTC 2026
% 0.14/0.42  % CPUTime  : 
% 0.14/0.42  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.14/0.42  % Process 2088732 was started by sandbox on n005,
% 0.14/0.42  % Sat Sep 26 12:08:31 2026
% 0.14/0.42  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/0.44  
% 0.14/0.44  % From the command line: assign(max_seconds, 300).
% 40.21/5.58  
% 40.21/5.58  % given #500 (I,wt=66): 566 app(app(A,cons(B,A)),cons(C,A)) != D | -ssList(A) | -ssItem(C) | -ssItem(B) | -ssList(D) | lt(B,C) | lt(C,B) | app(app(skaf61(D),cons(skaf59(D),skaf62(D))),cons(skaf60(D),skaf63(D))) = D.  [factor(306,b,c)].
% 40.21/5.58  
% 40.21/5.58  % given #1000 (F,wt=22): 11556 cons(skac2,skaf46(A,B)) != nil.  [resolve(6585,b,182,a)].
% 40.21/5.58  
% 40.21/5.58  % SZS status Unsatisfiable for theBenchmark
% 40.21/5.58  
% 40.21/5.58  % Proof 1 at 4.55 (+ 0.53) seconds.
% 40.21/5.58  % Length of proof is 78.
% 40.21/5.58  % Level of proof is 21.
% 40.21/5.58  % Maximum clause weight is 19.000.
% 40.21/5.58  % Given clauses 1171.
% 40.21/5.58  
% 40.21/5.58  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------