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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : PUZ030-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n017.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 02:31:54 PM UTC 2026

% Result   : Unsatisfiable 4.59s 6.18s
% Output   : Proof 4.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  108
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  302 (  13 unt;   0 def)
%            Number of atoms       :  916 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  857 ( 243   ~; 614   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   46 (   0 sgn  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(f35,hypothesis,
    ( mustard(lang)
    | ~ neither(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8_3) ).

fof(f35_nnf,plain,
    ( mustard(lang)
    | ~ neither(mill) ),
    inference(nnf_transformation,[status(thm)],[f35]) ).

fof(f35_sk,plain,
    ( mustard(lang)
    | ~ neither(mill) ),
    inference(skolemisation,[status(esa)],[f35_nnf]) ).

cnf(c35,plain,
    ( mustard(lang)
    | ~ neither(mill) ),
    inference(cnf_transformation,[status(esa)],[f35_sk]) ).

cnf(f11,axiom,
    ( neither(X)
    | mustard(X)
    | salt(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither4) ).

fof(f11_nnf,plain,
    ! [X] :
      ( neither(X)
      | mustard(X)
      | salt(X) ),
    inference(nnf_transformation,[status(thm)],[f11]) ).

fof(f11_sk,plain,
    ! [X] :
      ( neither(X)
      | mustard(X)
      | salt(X) ),
    inference(skolemisation,[status(esa)],[f11_nnf]) ).

cnf(c11,plain,
    ( neither(X0)
    | mustard(X0)
    | salt(X0) ),
    inference(cnf_transformation,[status(esa)],[f11_sk]) ).

cnf(p64,plain,
    ( mustard(mill)
    | salt(mill)
    | mustard(lang) ),
    inference(resolution,[status(thm)],[c35,c11]) ).

cnf(f39,hypothesis,
    ( oneof(dix)
    | oneof(cole)
    | ~ mustard(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule10_1) ).

fof(f39_nnf,plain,
    ( oneof(dix)
    | oneof(cole)
    | ~ mustard(mill) ),
    inference(nnf_transformation,[status(thm)],[f39]) ).

fof(f39_sk,plain,
    ( oneof(dix)
    | oneof(cole)
    | ~ mustard(mill) ),
    inference(skolemisation,[status(esa)],[f39_nnf]) ).

cnf(c39,plain,
    ( oneof(dix)
    | oneof(cole)
    | ~ mustard(mill) ),
    inference(cnf_transformation,[status(esa)],[f39_sk]) ).

cnf(p78,plain,
    ( oneof(dix)
    | oneof(cole)
    | salt(mill)
    | mustard(lang) ),
    inference(resolution,[status(thm)],[p64,c39]) ).

cnf(f32,hypothesis,
    ( salt(lang)
    | ~ oneof(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule7_3) ).

fof(f32_nnf,plain,
    ( salt(lang)
    | ~ oneof(dix) ),
    inference(nnf_transformation,[status(thm)],[f32]) ).

fof(f32_sk,plain,
    ( salt(lang)
    | ~ oneof(dix) ),
    inference(skolemisation,[status(esa)],[f32_nnf]) ).

cnf(c32,plain,
    ( salt(lang)
    | ~ oneof(dix) ),
    inference(cnf_transformation,[status(esa)],[f32_sk]) ).

cnf(p114,plain,
    ( salt(lang)
    | oneof(cole)
    | salt(mill)
    | mustard(lang) ),
    inference(resolution,[status(thm)],[p78,c32]) ).

cnf(f13,hypothesis,
    ( salt(barry)
    | ~ oneof(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1_2) ).

fof(f13_nnf,plain,
    ( salt(barry)
    | ~ oneof(cole) ),
    inference(nnf_transformation,[status(thm)],[f13]) ).

fof(f13_sk,plain,
    ( salt(barry)
    | ~ oneof(cole) ),
    inference(skolemisation,[status(esa)],[f13_nnf]) ).

cnf(c13,plain,
    ( salt(barry)
    | ~ oneof(cole) ),
    inference(cnf_transformation,[status(esa)],[f13_sk]) ).

cnf(p174,plain,
    ( salt(barry)
    | salt(lang)
    | salt(mill)
    | mustard(lang) ),
    inference(resolution,[status(thm)],[p114,c13]) ).

cnf(f6,axiom,
    ( oneof(X)
    | neither(X)
    | both(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_condition_holds1) ).

fof(f6_nnf,plain,
    ! [X] :
      ( oneof(X)
      | neither(X)
      | both(X) ),
    inference(nnf_transformation,[status(thm)],[f6]) ).

fof(f6_sk,plain,
    ! [X] :
      ( oneof(X)
      | neither(X)
      | both(X) ),
    inference(skolemisation,[status(esa)],[f6_nnf]) ).

cnf(c6,plain,
    ( oneof(X0)
    | neither(X0)
    | both(X0) ),
    inference(cnf_transformation,[status(esa)],[f6_sk]) ).

cnf(f10,axiom,
    ( ~ mustard(X)
    | ~ neither(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither3) ).

fof(f10_nnf,plain,
    ! [X] :
      ( ~ mustard(X)
      | ~ neither(X) ),
    inference(nnf_transformation,[status(thm)],[f10]) ).

fof(f10_sk,plain,
    ! [X] :
      ( ~ mustard(X)
      | ~ neither(X) ),
    inference(skolemisation,[status(esa)],[f10_nnf]) ).

cnf(c10,plain,
    ( ~ mustard(X0)
    | ~ neither(X0) ),
    inference(cnf_transformation,[status(esa)],[f10_sk]) ).

cnf(p45,plain,
    ( ~ mustard(X0)
    | oneof(X0)
    | both(X0) ),
    inference(resolution,[status(thm)],[c6,c10]) ).

cnf(p225,plain,
    ( oneof(lang)
    | both(lang)
    | salt(barry)
    | salt(lang)
    | salt(mill) ),
    inference(resolution,[status(thm)],[p174,p45]) ).

cnf(f14,hypothesis,
    ( salt(barry)
    | ~ oneof(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1_3) ).

fof(f14_nnf,plain,
    ( salt(barry)
    | ~ oneof(lang) ),
    inference(nnf_transformation,[status(thm)],[f14]) ).

fof(f14_sk,plain,
    ( salt(barry)
    | ~ oneof(lang) ),
    inference(skolemisation,[status(esa)],[f14_nnf]) ).

cnf(c14,plain,
    ( salt(barry)
    | ~ oneof(lang) ),
    inference(cnf_transformation,[status(esa)],[f14_sk]) ).

cnf(p335,plain,
    ( salt(barry)
    | both(lang)
    | salt(barry)
    | salt(lang)
    | salt(mill) ),
    inference(resolution,[status(thm)],[p225,c14]) ).

cnf(p384,plain,
    ( both(lang)
    | salt(barry)
    | salt(lang)
    | salt(mill) ),
    inference(factoring,[status(thm)],[p335]) ).

cnf(f36,hypothesis,
    ( both(lang)
    | both(barry)
    | ~ salt(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9_1) ).

fof(f36_nnf,plain,
    ( both(lang)
    | both(barry)
    | ~ salt(mill) ),
    inference(nnf_transformation,[status(thm)],[f36]) ).

fof(f36_sk,plain,
    ( both(lang)
    | both(barry)
    | ~ salt(mill) ),
    inference(skolemisation,[status(esa)],[f36_nnf]) ).

cnf(c36,plain,
    ( both(lang)
    | both(barry)
    | ~ salt(mill) ),
    inference(cnf_transformation,[status(esa)],[f36_sk]) ).

cnf(p386,plain,
    ( both(lang)
    | both(barry)
    | both(lang)
    | salt(barry)
    | salt(lang) ),
    inference(resolution,[status(thm)],[p384,c36]) ).

cnf(p420,plain,
    ( both(barry)
    | both(lang)
    | salt(barry)
    | salt(lang) ),
    inference(factoring,[status(thm)],[p386]) ).

cnf(f9,axiom,
    ( ~ salt(X)
    | ~ neither(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither2) ).

fof(f9_nnf,plain,
    ! [X] :
      ( ~ salt(X)
      | ~ neither(X) ),
    inference(nnf_transformation,[status(thm)],[f9]) ).

fof(f9_sk,plain,
    ! [X] :
      ( ~ salt(X)
      | ~ neither(X) ),
    inference(skolemisation,[status(esa)],[f9_nnf]) ).

cnf(c9,plain,
    ( ~ salt(X0)
    | ~ neither(X0) ),
    inference(cnf_transformation,[status(esa)],[f9_sk]) ).

cnf(p44,plain,
    ( ~ salt(X0)
    | oneof(X0)
    | both(X0) ),
    inference(resolution,[status(thm)],[c6,c9]) ).

cnf(p427,plain,
    ( oneof(lang)
    | both(lang)
    | both(barry)
    | both(lang)
    | salt(barry) ),
    inference(resolution,[status(thm)],[p420,p44]) ).

cnf(p464,plain,
    ( oneof(lang)
    | both(barry)
    | both(lang)
    | salt(barry) ),
    inference(factoring,[status(thm)],[p427]) ).

cnf(p466,plain,
    ( salt(barry)
    | both(barry)
    | both(lang)
    | salt(barry) ),
    inference(resolution,[status(thm)],[p464,c14]) ).

cnf(p468,plain,
    ( both(barry)
    | both(lang)
    | salt(barry) ),
    inference(factoring,[status(thm)],[p466]) ).

cnf(p471,plain,
    ( oneof(barry)
    | both(barry)
    | both(barry)
    | both(lang) ),
    inference(resolution,[status(thm)],[p468,p44]) ).

cnf(p477,plain,
    ( oneof(barry)
    | both(barry)
    | both(lang) ),
    inference(factoring,[status(thm)],[p471]) ).

cnf(f31,hypothesis,
    ( salt(lang)
    | ~ oneof(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule7_2) ).

fof(f31_nnf,plain,
    ( salt(lang)
    | ~ oneof(barry) ),
    inference(nnf_transformation,[status(thm)],[f31]) ).

fof(f31_sk,plain,
    ( salt(lang)
    | ~ oneof(barry) ),
    inference(skolemisation,[status(esa)],[f31_nnf]) ).

cnf(c31,plain,
    ( salt(lang)
    | ~ oneof(barry) ),
    inference(cnf_transformation,[status(esa)],[f31_sk]) ).

cnf(p480,plain,
    ( salt(lang)
    | both(barry)
    | both(lang) ),
    inference(resolution,[status(thm)],[p477,c31]) ).

cnf(f16,hypothesis,
    ( mustard(barry)
    | ~ neither(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2_2) ).

fof(f16_nnf,plain,
    ( mustard(barry)
    | ~ neither(dix) ),
    inference(nnf_transformation,[status(thm)],[f16]) ).

fof(f16_sk,plain,
    ( mustard(barry)
    | ~ neither(dix) ),
    inference(skolemisation,[status(esa)],[f16_nnf]) ).

cnf(c16,plain,
    ( mustard(barry)
    | ~ neither(dix) ),
    inference(cnf_transformation,[status(esa)],[f16_sk]) ).

cnf(p51,plain,
    ( mustard(barry)
    | mustard(dix)
    | salt(dix) ),
    inference(resolution,[status(thm)],[c11,c16]) ).

cnf(f27,hypothesis,
    ( neither(mill)
    | neither(lang)
    | ~ mustard(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule6_1) ).

fof(f27_nnf,plain,
    ( neither(mill)
    | neither(lang)
    | ~ mustard(dix) ),
    inference(nnf_transformation,[status(thm)],[f27]) ).

fof(f27_sk,plain,
    ( neither(mill)
    | neither(lang)
    | ~ mustard(dix) ),
    inference(skolemisation,[status(esa)],[f27_nnf]) ).

cnf(c27,plain,
    ( neither(mill)
    | neither(lang)
    | ~ mustard(dix) ),
    inference(cnf_transformation,[status(esa)],[f27_sk]) ).

cnf(p69,plain,
    ( neither(mill)
    | neither(lang)
    | mustard(barry)
    | salt(dix) ),
    inference(resolution,[status(thm)],[p51,c27]) ).

cnf(p91,plain,
    ( mustard(lang)
    | neither(lang)
    | mustard(barry)
    | salt(dix) ),
    inference(resolution,[status(thm)],[p69,c35]) ).

cnf(p136,plain,
    ( ~ salt(lang)
    | mustard(lang)
    | mustard(barry)
    | salt(dix) ),
    inference(resolution,[status(thm)],[p91,c9]) ).

cnf(p485,plain,
    ( mustard(lang)
    | mustard(barry)
    | salt(dix)
    | both(barry)
    | both(lang) ),
    inference(resolution,[status(thm)],[p480,p136]) ).

cnf(f2,axiom,
    ( both(X)
    | ~ mustard(X)
    | ~ salt(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both3) ).

fof(f2_nnf,plain,
    ! [X] :
      ( both(X)
      | ~ mustard(X)
      | ~ salt(X) ),
    inference(nnf_transformation,[status(thm)],[f2]) ).

fof(f2_sk,plain,
    ! [X] :
      ( both(X)
      | ~ mustard(X)
      | ~ salt(X) ),
    inference(skolemisation,[status(esa)],[f2_nnf]) ).

cnf(c2,plain,
    ( both(X0)
    | ~ mustard(X0)
    | ~ salt(X0) ),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

cnf(p483,plain,
    ( both(lang)
    | ~ mustard(lang)
    | both(barry)
    | both(lang) ),
    inference(resolution,[status(thm)],[p480,c2]) ).

cnf(p492,plain,
    ( ~ mustard(lang)
    | both(barry)
    | both(lang) ),
    inference(factoring,[status(thm)],[p483]) ).

cnf(p530,plain,
    ( both(barry)
    | both(lang)
    | mustard(barry)
    | salt(dix)
    | both(barry)
    | both(lang) ),
    inference(resolution,[status(thm)],[p485,p492]) ).

cnf(p565,plain,
    ( both(barry)
    | mustard(barry)
    | salt(dix)
    | both(barry)
    | both(lang) ),
    inference(factoring,[status(thm)],[p530]) ).

cnf(p567,plain,
    ( mustard(barry)
    | salt(dix)
    | both(barry)
    | both(lang) ),
    inference(factoring,[status(thm)],[p565]) ).

cnf(p469,plain,
    ( both(barry)
    | ~ mustard(barry)
    | both(barry)
    | both(lang) ),
    inference(resolution,[status(thm)],[p468,c2]) ).

cnf(p472,plain,
    ( ~ mustard(barry)
    | both(barry)
    | both(lang) ),
    inference(factoring,[status(thm)],[p469]) ).

cnf(p569,plain,
    ( both(barry)
    | both(lang)
    | salt(dix)
    | both(barry)
    | both(lang) ),
    inference(resolution,[status(thm)],[p567,p472]) ).

cnf(p573,plain,
    ( both(barry)
    | salt(dix)
    | both(barry)
    | both(lang) ),
    inference(factoring,[status(thm)],[p569]) ).

cnf(p575,plain,
    ( salt(dix)
    | both(barry)
    | both(lang) ),
    inference(factoring,[status(thm)],[p573]) ).

cnf(f24,hypothesis,
    ( both(cole)
    | neither(barry)
    | ~ salt(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5_1) ).

fof(f24_nnf,plain,
    ( both(cole)
    | neither(barry)
    | ~ salt(dix) ),
    inference(nnf_transformation,[status(thm)],[f24]) ).

fof(f24_sk,plain,
    ( both(cole)
    | neither(barry)
    | ~ salt(dix) ),
    inference(skolemisation,[status(esa)],[f24_nnf]) ).

cnf(c24,plain,
    ( both(cole)
    | neither(barry)
    | ~ salt(dix) ),
    inference(cnf_transformation,[status(esa)],[f24_sk]) ).

cnf(p576,plain,
    ( both(cole)
    | neither(barry)
    | both(barry)
    | both(lang) ),
    inference(resolution,[status(thm)],[p575,c24]) ).

cnf(f5,axiom,
    ( ~ neither(X)
    | ~ oneof(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof3) ).

fof(f5_nnf,plain,
    ! [X] :
      ( ~ neither(X)
      | ~ oneof(X) ),
    inference(nnf_transformation,[status(thm)],[f5]) ).

fof(f5_sk,plain,
    ! [X] :
      ( ~ neither(X)
      | ~ oneof(X) ),
    inference(skolemisation,[status(esa)],[f5_nnf]) ).

cnf(c5,plain,
    ( ~ neither(X0)
    | ~ oneof(X0) ),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(p478,plain,
    ( ~ neither(barry)
    | both(barry)
    | both(lang) ),
    inference(resolution,[status(thm)],[p477,c5]) ).

cnf(p579,plain,
    ( both(barry)
    | both(lang)
    | both(cole)
    | both(barry)
    | both(lang) ),
    inference(resolution,[status(thm)],[p576,p478]) ).

cnf(p583,plain,
    ( both(barry)
    | both(cole)
    | both(barry)
    | both(lang) ),
    inference(factoring,[status(thm)],[p579]) ).

cnf(p585,plain,
    ( both(cole)
    | both(barry)
    | both(lang) ),
    inference(factoring,[status(thm)],[p583]) ).

cnf(f23,hypothesis,
    ( mustard(cole)
    | ~ both(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4_3) ).

fof(f23_nnf,plain,
    ( mustard(cole)
    | ~ both(lang) ),
    inference(nnf_transformation,[status(thm)],[f23]) ).

fof(f23_sk,plain,
    ( mustard(cole)
    | ~ both(lang) ),
    inference(skolemisation,[status(esa)],[f23_nnf]) ).

cnf(c23,plain,
    ( mustard(cole)
    | ~ both(lang) ),
    inference(cnf_transformation,[status(esa)],[f23_sk]) ).

cnf(p589,plain,
    ( mustard(cole)
    | both(cole)
    | both(barry) ),
    inference(resolution,[status(thm)],[p585,c23]) ).

cnf(p595,plain,
    ( oneof(cole)
    | both(cole)
    | both(cole)
    | both(barry) ),
    inference(resolution,[status(thm)],[p589,p45]) ).

cnf(p614,plain,
    ( oneof(cole)
    | both(cole)
    | both(barry) ),
    inference(factoring,[status(thm)],[p595]) ).

cnf(p617,plain,
    ( salt(barry)
    | both(cole)
    | both(barry) ),
    inference(resolution,[status(thm)],[p614,c13]) ).

cnf(p619,plain,
    ( oneof(barry)
    | both(barry)
    | both(cole)
    | both(barry) ),
    inference(resolution,[status(thm)],[p617,p44]) ).

cnf(p635,plain,
    ( oneof(barry)
    | both(cole)
    | both(barry) ),
    inference(factoring,[status(thm)],[p619]) ).

cnf(f19,hypothesis,
    ( salt(cole)
    | ~ oneof(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3_2) ).

fof(f19_nnf,plain,
    ( salt(cole)
    | ~ oneof(barry) ),
    inference(nnf_transformation,[status(thm)],[f19]) ).

fof(f19_sk,plain,
    ( salt(cole)
    | ~ oneof(barry) ),
    inference(skolemisation,[status(esa)],[f19_nnf]) ).

cnf(c19,plain,
    ( salt(cole)
    | ~ oneof(barry) ),
    inference(cnf_transformation,[status(esa)],[f19_sk]) ).

cnf(p637,plain,
    ( salt(cole)
    | both(cole)
    | both(barry) ),
    inference(resolution,[status(thm)],[p635,c19]) ).

cnf(p638,plain,
    ( both(cole)
    | ~ mustard(cole)
    | both(cole)
    | both(barry) ),
    inference(resolution,[status(thm)],[p637,c2]) ).

cnf(p641,plain,
    ( ~ mustard(cole)
    | both(cole)
    | both(barry) ),
    inference(factoring,[status(thm)],[p638]) ).

cnf(p642,plain,
    ( both(cole)
    | both(barry)
    | both(cole)
    | both(barry) ),
    inference(resolution,[status(thm)],[p641,p589]) ).

cnf(p643,plain,
    ( both(cole)
    | both(cole)
    | both(barry) ),
    inference(factoring,[status(thm)],[p642]) ).

cnf(p645,plain,
    ( both(cole)
    | both(barry) ),
    inference(factoring,[status(thm)],[p643]) ).

cnf(f1,axiom,
    ( mustard(X)
    | ~ both(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both2) ).

fof(f1_nnf,plain,
    ! [X] :
      ( mustard(X)
      | ~ both(X) ),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [X] :
      ( mustard(X)
      | ~ both(X) ),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c1,plain,
    ( mustard(X0)
    | ~ both(X0) ),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(p647,plain,
    ( mustard(cole)
    | both(barry) ),
    inference(resolution,[status(thm)],[p645,c1]) ).

cnf(f21,hypothesis,
    ( both(lang)
    | both(dix)
    | ~ mustard(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4_1) ).

fof(f21_nnf,plain,
    ( both(lang)
    | both(dix)
    | ~ mustard(cole) ),
    inference(nnf_transformation,[status(thm)],[f21]) ).

fof(f21_sk,plain,
    ( both(lang)
    | both(dix)
    | ~ mustard(cole) ),
    inference(skolemisation,[status(esa)],[f21_nnf]) ).

cnf(c21,plain,
    ( both(lang)
    | both(dix)
    | ~ mustard(cole) ),
    inference(cnf_transformation,[status(esa)],[f21_sk]) ).

cnf(p653,plain,
    ( both(lang)
    | both(dix)
    | both(barry) ),
    inference(resolution,[status(thm)],[p647,c21]) ).

cnf(p663,plain,
    ( mustard(dix)
    | both(lang)
    | both(barry) ),
    inference(resolution,[status(thm)],[p653,c1]) ).

cnf(p680,plain,
    ( neither(mill)
    | neither(lang)
    | both(lang)
    | both(barry) ),
    inference(resolution,[status(thm)],[p663,c27]) ).

cnf(p692,plain,
    ( mustard(lang)
    | neither(lang)
    | both(lang)
    | both(barry) ),
    inference(resolution,[status(thm)],[p680,c35]) ).

cnf(p484,plain,
    ( oneof(lang)
    | both(lang)
    | both(barry)
    | both(lang) ),
    inference(resolution,[status(thm)],[p480,p44]) ).

cnf(p495,plain,
    ( oneof(lang)
    | both(barry)
    | both(lang) ),
    inference(factoring,[status(thm)],[p484]) ).

cnf(p496,plain,
    ( ~ neither(lang)
    | both(barry)
    | both(lang) ),
    inference(resolution,[status(thm)],[p495,c5]) ).

cnf(p703,plain,
    ( both(barry)
    | both(lang)
    | mustard(lang)
    | both(lang)
    | both(barry) ),
    inference(resolution,[status(thm)],[p692,p496]) ).

cnf(p716,plain,
    ( both(lang)
    | mustard(lang)
    | both(lang)
    | both(barry) ),
    inference(factoring,[status(thm)],[p703]) ).

cnf(p718,plain,
    ( mustard(lang)
    | both(lang)
    | both(barry) ),
    inference(factoring,[status(thm)],[p716]) ).

cnf(p720,plain,
    ( both(barry)
    | both(lang)
    | both(lang)
    | both(barry) ),
    inference(resolution,[status(thm)],[p718,p492]) ).

cnf(p722,plain,
    ( both(lang)
    | both(lang)
    | both(barry) ),
    inference(factoring,[status(thm)],[p720]) ).

cnf(p725,plain,
    ( both(lang)
    | both(barry) ),
    inference(factoring,[status(thm)],[p722]) ).

cnf(p727,plain,
    ( mustard(lang)
    | both(barry) ),
    inference(resolution,[status(thm)],[p725,c1]) ).

cnf(f33,hypothesis,
    ( neither(mill)
    | neither(cole)
    | ~ mustard(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8_1) ).

fof(f33_nnf,plain,
    ( neither(mill)
    | neither(cole)
    | ~ mustard(lang) ),
    inference(nnf_transformation,[status(thm)],[f33]) ).

fof(f33_sk,plain,
    ( neither(mill)
    | neither(cole)
    | ~ mustard(lang) ),
    inference(skolemisation,[status(esa)],[f33_nnf]) ).

cnf(c33,plain,
    ( neither(mill)
    | neither(cole)
    | ~ mustard(lang) ),
    inference(cnf_transformation,[status(esa)],[f33_sk]) ).

cnf(p731,plain,
    ( neither(mill)
    | neither(cole)
    | both(barry) ),
    inference(resolution,[status(thm)],[p727,c33]) ).

cnf(p739,plain,
    ( ~ mustard(mill)
    | neither(cole)
    | both(barry) ),
    inference(resolution,[status(thm)],[p731,c10]) ).

cnf(f38,hypothesis,
    ( mustard(mill)
    | ~ both(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9_3) ).

fof(f38_nnf,plain,
    ( mustard(mill)
    | ~ both(lang) ),
    inference(nnf_transformation,[status(thm)],[f38]) ).

fof(f38_sk,plain,
    ( mustard(mill)
    | ~ both(lang) ),
    inference(skolemisation,[status(esa)],[f38_nnf]) ).

cnf(c38,plain,
    ( mustard(mill)
    | ~ both(lang) ),
    inference(cnf_transformation,[status(esa)],[f38_sk]) ).

cnf(p729,plain,
    ( mustard(mill)
    | both(barry) ),
    inference(resolution,[status(thm)],[p725,c38]) ).

cnf(p754,plain,
    ( both(barry)
    | neither(cole)
    | both(barry) ),
    inference(resolution,[status(thm)],[p739,p729]) ).

cnf(p764,plain,
    ( neither(cole)
    | both(barry) ),
    inference(factoring,[status(thm)],[p754]) ).

cnf(f8,axiom,
    ( ~ neither(X)
    | ~ both(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither1) ).

fof(f8_nnf,plain,
    ! [X] :
      ( ~ neither(X)
      | ~ both(X) ),
    inference(nnf_transformation,[status(thm)],[f8]) ).

fof(f8_sk,plain,
    ! [X] :
      ( ~ neither(X)
      | ~ both(X) ),
    inference(skolemisation,[status(esa)],[f8_nnf]) ).

cnf(c8,plain,
    ( ~ neither(X0)
    | ~ both(X0) ),
    inference(cnf_transformation,[status(esa)],[f8_sk]) ).

cnf(p648,plain,
    ( ~ neither(cole)
    | both(barry) ),
    inference(resolution,[status(thm)],[p645,c8]) ).

cnf(p767,plain,
    ( both(barry)
    | both(barry) ),
    inference(resolution,[status(thm)],[p764,p648]) ).

cnf(p769,plain,
    both(barry),
    inference(factoring,[status(thm)],[p767]) ).

cnf(f37,hypothesis,
    ( salt(mill)
    | ~ both(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9_2) ).

fof(f37_nnf,plain,
    ( salt(mill)
    | ~ both(barry) ),
    inference(nnf_transformation,[status(thm)],[f37]) ).

fof(f37_sk,plain,
    ( salt(mill)
    | ~ both(barry) ),
    inference(skolemisation,[status(esa)],[f37_nnf]) ).

cnf(c37,plain,
    ( salt(mill)
    | ~ both(barry) ),
    inference(cnf_transformation,[status(esa)],[f37_sk]) ).

cnf(p777,plain,
    salt(mill),
    inference(resolution,[status(thm)],[p769,c37]) ).

cnf(p821,plain,
    ( oneof(mill)
    | both(mill) ),
    inference(resolution,[status(thm)],[p777,p44]) ).

cnf(f0,axiom,
    ( salt(X)
    | ~ both(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both1) ).

fof(f0_nnf,plain,
    ! [X] :
      ( salt(X)
      | ~ both(X) ),
    inference(nnf_transformation,[status(thm)],[f0]) ).

fof(f0_sk,plain,
    ! [X] :
      ( salt(X)
      | ~ both(X) ),
    inference(skolemisation,[status(esa)],[f0_nnf]) ).

cnf(c0,plain,
    ( salt(X0)
    | ~ both(X0) ),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p770,plain,
    salt(barry),
    inference(resolution,[status(thm)],[p769,c0]) ).

cnf(f12,hypothesis,
    ( oneof(lang)
    | oneof(cole)
    | ~ salt(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1_1) ).

fof(f12_nnf,plain,
    ( oneof(lang)
    | oneof(cole)
    | ~ salt(barry) ),
    inference(nnf_transformation,[status(thm)],[f12]) ).

fof(f12_sk,plain,
    ( oneof(lang)
    | oneof(cole)
    | ~ salt(barry) ),
    inference(skolemisation,[status(esa)],[f12_nnf]) ).

cnf(c12,plain,
    ( oneof(lang)
    | oneof(cole)
    | ~ salt(barry) ),
    inference(cnf_transformation,[status(esa)],[f12_sk]) ).

cnf(p810,plain,
    ( oneof(lang)
    | oneof(cole) ),
    inference(resolution,[status(thm)],[p770,c12]) ).

cnf(f28,hypothesis,
    ( mustard(dix)
    | ~ neither(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule6_2) ).

fof(f28_nnf,plain,
    ( mustard(dix)
    | ~ neither(lang) ),
    inference(nnf_transformation,[status(thm)],[f28]) ).

fof(f28_sk,plain,
    ( mustard(dix)
    | ~ neither(lang) ),
    inference(skolemisation,[status(esa)],[f28_nnf]) ).

cnf(c28,plain,
    ( mustard(dix)
    | ~ neither(lang) ),
    inference(cnf_transformation,[status(esa)],[f28_sk]) ).

cnf(p58,plain,
    ( mustard(lang)
    | salt(lang)
    | mustard(dix) ),
    inference(resolution,[status(thm)],[c28,c11]) ).

cnf(p73,plain,
    ( oneof(dix)
    | both(dix)
    | mustard(lang)
    | salt(lang) ),
    inference(resolution,[status(thm)],[p58,p45]) ).

cnf(p103,plain,
    ( salt(lang)
    | both(dix)
    | mustard(lang)
    | salt(lang) ),
    inference(resolution,[status(thm)],[p73,c32]) ).

cnf(p156,plain,
    ( both(dix)
    | mustard(lang)
    | salt(lang) ),
    inference(factoring,[status(thm)],[p103]) ).

cnf(p160,plain,
    ( neither(mill)
    | neither(cole)
    | both(dix)
    | salt(lang) ),
    inference(resolution,[status(thm)],[p156,c33]) ).

cnf(f29,hypothesis,
    ( mustard(dix)
    | ~ neither(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule6_3) ).

fof(f29_nnf,plain,
    ( mustard(dix)
    | ~ neither(mill) ),
    inference(nnf_transformation,[status(thm)],[f29]) ).

fof(f29_sk,plain,
    ( mustard(dix)
    | ~ neither(mill) ),
    inference(skolemisation,[status(esa)],[f29_nnf]) ).

cnf(c29,plain,
    ( mustard(dix)
    | ~ neither(mill) ),
    inference(cnf_transformation,[status(esa)],[f29_sk]) ).

cnf(p217,plain,
    ( mustard(dix)
    | neither(cole)
    | both(dix)
    | salt(lang) ),
    inference(resolution,[status(thm)],[p160,c29]) ).

cnf(p60,plain,
    ( mustard(mill)
    | salt(mill)
    | mustard(dix) ),
    inference(resolution,[status(thm)],[c29,c11]) ).

cnf(p74,plain,
    ( oneof(dix)
    | oneof(cole)
    | salt(mill)
    | mustard(dix) ),
    inference(resolution,[status(thm)],[p60,c39]) ).

cnf(p107,plain,
    ( salt(lang)
    | oneof(cole)
    | salt(mill)
    | mustard(dix) ),
    inference(resolution,[status(thm)],[p74,c32]) ).

cnf(p164,plain,
    ( ~ neither(cole)
    | salt(lang)
    | salt(mill)
    | mustard(dix) ),
    inference(resolution,[status(thm)],[p107,c5]) ).

cnf(p264,plain,
    ( salt(lang)
    | salt(mill)
    | mustard(dix)
    | mustard(dix)
    | both(dix)
    | salt(lang) ),
    inference(resolution,[status(thm)],[p217,p164]) ).

cnf(p367,plain,
    ( salt(mill)
    | mustard(dix)
    | mustard(dix)
    | both(dix)
    | salt(lang) ),
    inference(factoring,[status(thm)],[p264]) ).

cnf(p409,plain,
    ( salt(mill)
    | mustard(dix)
    | both(dix)
    | salt(lang) ),
    inference(factoring,[status(thm)],[p367]) ).

cnf(p411,plain,
    ( oneof(dix)
    | both(dix)
    | salt(mill)
    | both(dix)
    | salt(lang) ),
    inference(resolution,[status(thm)],[p409,p45]) ).

cnf(p439,plain,
    ( oneof(dix)
    | salt(mill)
    | both(dix)
    | salt(lang) ),
    inference(factoring,[status(thm)],[p411]) ).

cnf(p441,plain,
    ( salt(lang)
    | salt(mill)
    | both(dix)
    | salt(lang) ),
    inference(resolution,[status(thm)],[p439,c32]) ).

cnf(p445,plain,
    ( salt(mill)
    | both(dix)
    | salt(lang) ),
    inference(factoring,[status(thm)],[p441]) ).

cnf(p214,plain,
    ( ~ salt(mill)
    | neither(cole)
    | both(dix)
    | salt(lang) ),
    inference(resolution,[status(thm)],[p160,c9]) ).

cnf(p449,plain,
    ( neither(cole)
    | both(dix)
    | salt(lang)
    | both(dix)
    | salt(lang) ),
    inference(resolution,[status(thm)],[p445,p214]) ).

cnf(p502,plain,
    ( neither(cole)
    | both(dix)
    | both(dix)
    | salt(lang) ),
    inference(factoring,[status(thm)],[p449]) ).

cnf(p504,plain,
    ( neither(cole)
    | both(dix)
    | salt(lang) ),
    inference(factoring,[status(thm)],[p502]) ).

cnf(f42,negated_conjecture,
    ( ~ oneof(mill)
    | ~ mustard(lang)
    | ~ salt(mill)
    | ~ oneof(lang)
    | ~ both(barry)
    | ~ neither(dix)
    | ~ neither(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_who_takes_what) ).

fof(f42_nnf,plain,
    ( ~ oneof(mill)
    | ~ mustard(lang)
    | ~ salt(mill)
    | ~ oneof(lang)
    | ~ both(barry)
    | ~ neither(dix)
    | ~ neither(cole) ),
    inference(nnf_transformation,[status(thm)],[f42]) ).

fof(f42_sk,plain,
    ( ~ oneof(mill)
    | ~ mustard(lang)
    | ~ salt(mill)
    | ~ oneof(lang)
    | ~ both(barry)
    | ~ neither(dix)
    | ~ neither(cole) ),
    inference(skolemisation,[status(esa)],[f42_nnf]) ).

cnf(c42,plain,
    ( ~ oneof(mill)
    | ~ mustard(lang)
    | ~ salt(mill)
    | ~ oneof(lang)
    | ~ both(barry)
    | ~ neither(dix)
    | ~ neither(cole) ),
    inference(cnf_transformation,[status(esa)],[f42_sk]) ).

cnf(p507,plain,
    ( ~ oneof(mill)
    | ~ mustard(lang)
    | ~ salt(mill)
    | ~ oneof(lang)
    | ~ both(barry)
    | ~ neither(dix)
    | both(dix)
    | salt(lang) ),
    inference(resolution,[status(thm)],[p504,c42]) ).

cnf(p46,plain,
    ( mustard(barry)
    | oneof(dix)
    | both(dix) ),
    inference(resolution,[status(thm)],[c6,c16]) ).

cnf(p65,plain,
    ( salt(lang)
    | mustard(barry)
    | both(dix) ),
    inference(resolution,[status(thm)],[p46,c32]) ).

cnf(f15,hypothesis,
    ( both(mill)
    | neither(dix)
    | ~ mustard(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2_1) ).

fof(f15_nnf,plain,
    ( both(mill)
    | neither(dix)
    | ~ mustard(barry) ),
    inference(nnf_transformation,[status(thm)],[f15]) ).

fof(f15_sk,plain,
    ( both(mill)
    | neither(dix)
    | ~ mustard(barry) ),
    inference(skolemisation,[status(esa)],[f15_nnf]) ).

cnf(c15,plain,
    ( both(mill)
    | neither(dix)
    | ~ mustard(barry) ),
    inference(cnf_transformation,[status(esa)],[f15_sk]) ).

cnf(p79,plain,
    ( both(mill)
    | neither(dix)
    | salt(lang)
    | both(dix) ),
    inference(resolution,[status(thm)],[p65,c15]) ).

cnf(p511,plain,
    ( both(mill)
    | salt(lang)
    | both(dix)
    | ~ oneof(mill)
    | ~ mustard(lang)
    | ~ salt(mill)
    | ~ oneof(lang)
    | ~ both(barry)
    | both(dix)
    | salt(lang) ),
    inference(resolution,[status(thm)],[p507,p79]) ).

cnf(p514,plain,
    ( both(mill)
    | both(dix)
    | ~ oneof(mill)
    | ~ mustard(lang)
    | ~ salt(mill)
    | ~ oneof(lang)
    | ~ both(barry)
    | both(dix)
    | salt(lang) ),
    inference(factoring,[status(thm)],[p511]) ).

cnf(p516,plain,
    ( both(mill)
    | ~ oneof(mill)
    | ~ mustard(lang)
    | ~ salt(mill)
    | ~ oneof(lang)
    | ~ both(barry)
    | both(dix)
    | salt(lang) ),
    inference(factoring,[status(thm)],[p514]) ).

cnf(p782,plain,
    ( both(mill)
    | ~ oneof(mill)
    | ~ mustard(lang)
    | ~ salt(mill)
    | ~ oneof(lang)
    | both(dix)
    | salt(lang) ),
    inference(resolution,[status(thm)],[p769,p516]) ).

cnf(p878,plain,
    ( both(mill)
    | ~ oneof(mill)
    | ~ mustard(lang)
    | ~ salt(mill)
    | both(dix)
    | salt(lang)
    | oneof(cole) ),
    inference(resolution,[status(thm)],[p810,p782]) ).

cnf(p889,plain,
    ( both(mill)
    | ~ oneof(mill)
    | ~ mustard(lang)
    | both(dix)
    | salt(lang)
    | oneof(cole) ),
    inference(resolution,[status(thm)],[p878,p777]) ).

cnf(p891,plain,
    ( both(dix)
    | salt(lang)
    | both(mill)
    | ~ oneof(mill)
    | both(dix)
    | salt(lang)
    | oneof(cole) ),
    inference(resolution,[status(thm)],[p889,p156]) ).

cnf(p900,plain,
    ( both(dix)
    | both(mill)
    | ~ oneof(mill)
    | both(dix)
    | salt(lang)
    | oneof(cole) ),
    inference(factoring,[status(thm)],[p891]) ).

cnf(p902,plain,
    ( both(mill)
    | ~ oneof(mill)
    | both(dix)
    | salt(lang)
    | oneof(cole) ),
    inference(factoring,[status(thm)],[p900]) ).

cnf(p910,plain,
    ( both(mill)
    | both(dix)
    | salt(lang)
    | oneof(cole)
    | both(mill) ),
    inference(resolution,[status(thm)],[p821,p902]) ).

cnf(p925,plain,
    ( both(dix)
    | salt(lang)
    | oneof(cole)
    | both(mill) ),
    inference(factoring,[status(thm)],[p910]) ).

cnf(f40,hypothesis,
    ( mustard(mill)
    | ~ oneof(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule10_2) ).

fof(f40_nnf,plain,
    ( mustard(mill)
    | ~ oneof(cole) ),
    inference(nnf_transformation,[status(thm)],[f40]) ).

fof(f40_sk,plain,
    ( mustard(mill)
    | ~ oneof(cole) ),
    inference(skolemisation,[status(esa)],[f40_nnf]) ).

cnf(c40,plain,
    ( mustard(mill)
    | ~ oneof(cole) ),
    inference(cnf_transformation,[status(esa)],[f40_sk]) ).

cnf(p929,plain,
    ( mustard(mill)
    | both(dix)
    | salt(lang)
    | both(mill) ),
    inference(resolution,[status(thm)],[p925,c40]) ).

cnf(p820,plain,
    ( both(mill)
    | ~ mustard(mill) ),
    inference(resolution,[status(thm)],[p777,c2]) ).

cnf(p934,plain,
    ( both(mill)
    | both(dix)
    | salt(lang)
    | both(mill) ),
    inference(resolution,[status(thm)],[p929,p820]) ).

cnf(p935,plain,
    ( both(dix)
    | salt(lang)
    | both(mill) ),
    inference(factoring,[status(thm)],[p934]) ).

cnf(f30,hypothesis,
    ( oneof(dix)
    | oneof(barry)
    | ~ salt(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule7_1) ).

fof(f30_nnf,plain,
    ( oneof(dix)
    | oneof(barry)
    | ~ salt(lang) ),
    inference(nnf_transformation,[status(thm)],[f30]) ).

fof(f30_sk,plain,
    ( oneof(dix)
    | oneof(barry)
    | ~ salt(lang) ),
    inference(skolemisation,[status(esa)],[f30_nnf]) ).

cnf(c30,plain,
    ( oneof(dix)
    | oneof(barry)
    | ~ salt(lang) ),
    inference(cnf_transformation,[status(esa)],[f30_sk]) ).

cnf(p937,plain,
    ( oneof(dix)
    | oneof(barry)
    | both(dix)
    | both(mill) ),
    inference(resolution,[status(thm)],[p935,c30]) ).

cnf(p943,plain,
    ( ~ neither(dix)
    | oneof(barry)
    | both(dix)
    | both(mill) ),
    inference(resolution,[status(thm)],[p937,c5]) ).

cnf(p771,plain,
    mustard(barry),
    inference(resolution,[status(thm)],[p769,c1]) ).

cnf(p813,plain,
    ( both(mill)
    | neither(dix) ),
    inference(resolution,[status(thm)],[p771,c15]) ).

cnf(p947,plain,
    ( both(mill)
    | oneof(barry)
    | both(dix)
    | both(mill) ),
    inference(resolution,[status(thm)],[p943,p813]) ).

cnf(p953,plain,
    ( oneof(barry)
    | both(dix)
    | both(mill) ),
    inference(factoring,[status(thm)],[p947]) ).

cnf(f4,axiom,
    ( ~ both(X)
    | ~ oneof(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof2) ).

fof(f4_nnf,plain,
    ! [X] :
      ( ~ both(X)
      | ~ oneof(X) ),
    inference(nnf_transformation,[status(thm)],[f4]) ).

fof(f4_sk,plain,
    ! [X] :
      ( ~ both(X)
      | ~ oneof(X) ),
    inference(skolemisation,[status(esa)],[f4_nnf]) ).

cnf(c4,plain,
    ( ~ both(X0)
    | ~ oneof(X0) ),
    inference(cnf_transformation,[status(esa)],[f4_sk]) ).

cnf(p954,plain,
    ( ~ both(barry)
    | both(dix)
    | both(mill) ),
    inference(resolution,[status(thm)],[p953,c4]) ).

cnf(p957,plain,
    ( both(dix)
    | both(mill) ),
    inference(resolution,[status(thm)],[p954,p769]) ).

cnf(p959,plain,
    ( mustard(mill)
    | both(dix) ),
    inference(resolution,[status(thm)],[p957,c1]) ).

cnf(p961,plain,
    ( oneof(dix)
    | oneof(cole)
    | both(dix) ),
    inference(resolution,[status(thm)],[p959,c39]) ).

cnf(p964,plain,
    ( salt(lang)
    | oneof(cole)
    | both(dix) ),
    inference(resolution,[status(thm)],[p961,c32]) ).

cnf(p967,plain,
    ( ~ neither(cole)
    | salt(lang)
    | both(dix) ),
    inference(resolution,[status(thm)],[p964,c5]) ).

cnf(p969,plain,
    ( both(dix)
    | salt(lang)
    | salt(lang)
    | both(dix) ),
    inference(resolution,[status(thm)],[p967,p504]) ).

cnf(p974,plain,
    ( salt(lang)
    | salt(lang)
    | both(dix) ),
    inference(factoring,[status(thm)],[p969]) ).

cnf(p976,plain,
    ( salt(lang)
    | both(dix) ),
    inference(factoring,[status(thm)],[p974]) ).

cnf(p978,plain,
    ( oneof(dix)
    | oneof(barry)
    | both(dix) ),
    inference(resolution,[status(thm)],[p976,c30]) ).

cnf(f3,axiom,
    ( mustard(X)
    | salt(X)
    | ~ oneof(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof1) ).

fof(f3_nnf,plain,
    ! [X] :
      ( mustard(X)
      | salt(X)
      | ~ oneof(X) ),
    inference(nnf_transformation,[status(thm)],[f3]) ).

fof(f3_sk,plain,
    ! [X] :
      ( mustard(X)
      | salt(X)
      | ~ oneof(X) ),
    inference(skolemisation,[status(esa)],[f3_nnf]) ).

cnf(c3,plain,
    ( mustard(X0)
    | salt(X0)
    | ~ oneof(X0) ),
    inference(cnf_transformation,[status(esa)],[f3_sk]) ).

cnf(p982,plain,
    ( mustard(dix)
    | salt(dix)
    | oneof(barry)
    | both(dix) ),
    inference(resolution,[status(thm)],[p978,c3]) ).

cnf(p991,plain,
    ( ~ both(barry)
    | mustard(dix)
    | salt(dix)
    | both(dix) ),
    inference(resolution,[status(thm)],[p982,c4]) ).

cnf(p996,plain,
    ( mustard(dix)
    | salt(dix)
    | both(dix) ),
    inference(resolution,[status(thm)],[p991,p769]) ).

cnf(p998,plain,
    ( neither(mill)
    | neither(lang)
    | salt(dix)
    | both(dix) ),
    inference(resolution,[status(thm)],[p996,c27]) ).

cnf(p1000,plain,
    ( ~ salt(mill)
    | neither(lang)
    | salt(dix)
    | both(dix) ),
    inference(resolution,[status(thm)],[p998,c9]) ).

cnf(p1008,plain,
    ( neither(lang)
    | salt(dix)
    | both(dix) ),
    inference(resolution,[status(thm)],[p1000,p777]) ).

cnf(p1009,plain,
    ( ~ salt(lang)
    | salt(dix)
    | both(dix) ),
    inference(resolution,[status(thm)],[p1008,c9]) ).

cnf(p1013,plain,
    ( both(dix)
    | salt(dix)
    | both(dix) ),
    inference(resolution,[status(thm)],[p1009,p976]) ).

cnf(p1017,plain,
    ( salt(dix)
    | both(dix) ),
    inference(factoring,[status(thm)],[p1013]) ).

cnf(p1020,plain,
    ( both(cole)
    | neither(barry)
    | both(dix) ),
    inference(resolution,[status(thm)],[p1017,c24]) ).

cnf(p772,plain,
    ~ neither(barry),
    inference(resolution,[status(thm)],[p769,c8]) ).

cnf(p1025,plain,
    ( both(cole)
    | both(dix) ),
    inference(resolution,[status(thm)],[p1020,p772]) ).

cnf(p1027,plain,
    ( salt(dix)
    | both(cole) ),
    inference(resolution,[status(thm)],[p1025,c0]) ).

cnf(p1031,plain,
    ( both(cole)
    | neither(barry)
    | both(cole) ),
    inference(resolution,[status(thm)],[p1027,c24]) ).

cnf(p1041,plain,
    ( neither(barry)
    | both(cole) ),
    inference(factoring,[status(thm)],[p1031]) ).

cnf(p1046,plain,
    both(cole),
    inference(resolution,[status(thm)],[p1041,p772]) ).

cnf(f26,hypothesis,
    ( salt(dix)
    | ~ both(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5_3) ).

fof(f26_nnf,plain,
    ( salt(dix)
    | ~ both(cole) ),
    inference(nnf_transformation,[status(thm)],[f26]) ).

fof(f26_sk,plain,
    ( salt(dix)
    | ~ both(cole) ),
    inference(skolemisation,[status(esa)],[f26_nnf]) ).

cnf(c26,plain,
    ( salt(dix)
    | ~ both(cole) ),
    inference(cnf_transformation,[status(esa)],[f26_sk]) ).

cnf(p1050,plain,
    salt(dix),
    inference(resolution,[status(thm)],[p1046,c26]) ).

cnf(p892,plain,
    ( ~ salt(dix)
    | both(mill) ),
    inference(resolution,[status(thm)],[p813,c9]) ).

cnf(p1054,plain,
    both(mill),
    inference(resolution,[status(thm)],[p1050,p892]) ).

cnf(p1056,plain,
    ~ neither(mill),
    inference(resolution,[status(thm)],[p1054,c8]) ).

cnf(p1047,plain,
    salt(cole),
    inference(resolution,[status(thm)],[p1046,c0]) ).

cnf(f18,hypothesis,
    ( neither(mill)
    | oneof(barry)
    | ~ salt(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3_1) ).

fof(f18_nnf,plain,
    ( neither(mill)
    | oneof(barry)
    | ~ salt(cole) ),
    inference(nnf_transformation,[status(thm)],[f18]) ).

fof(f18_sk,plain,
    ( neither(mill)
    | oneof(barry)
    | ~ salt(cole) ),
    inference(skolemisation,[status(esa)],[f18_nnf]) ).

cnf(c18,plain,
    ( neither(mill)
    | oneof(barry)
    | ~ salt(cole) ),
    inference(cnf_transformation,[status(esa)],[f18_sk]) ).

cnf(p1051,plain,
    ( neither(mill)
    | oneof(barry) ),
    inference(resolution,[status(thm)],[p1047,c18]) ).

cnf(p1060,plain,
    oneof(barry),
    inference(resolution,[status(thm)],[p1056,p1051]) ).

cnf(p1061,plain,
    ~ both(barry),
    inference(resolution,[status(thm)],[p1060,c4]) ).

cnf(p1064,plain,
    $false,
    inference(resolution,[status(thm)],[p1061,p769]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PUZ030-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/5.39  % Computer : n017.cluster.edu
% 0.11/5.39  % Model    : x86_64 x86_64
% 0.11/5.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39  % Memory   : 8046.5625MB
% 0.11/5.39  % OS       : Linux 6.8.0-71-generic
% 0.11/5.39  % CPULimit : 300
% 0.11/5.39  % WCLimit  : 300
% 0.11/5.39  % DateTime : Thu Sep 24 06:37:51 UTC 2026
% 0.15/5.40  % CPUTime  : 
% 0.15/5.40  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.59/6.18  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.59/6.18  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------