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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : HWV005-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n019.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 01:37:37 PM UTC 2026

% Result   : Unsatisfiable 5.24s 6.17s
% Output   : Proof 5.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  128 (  51 unt;   0 def)
%            Number of atoms       :  250 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  253 ( 131   ~; 122   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  12 con; 0-2 aty)
%            Number of variables   :   93 (   6 sgn  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(f33,axiom,
    ( connection(out(n1,not1(X)),in(n2,and1(X)))
    | ~ type(X,halfadder) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1not1_in2and1) ).

fof(f33_nnf,plain,
    ! [X] :
      ( connection(out(n1,not1(X)),in(n2,and1(X)))
      | ~ type(X,halfadder) ),
    inference(nnf_transformation,[status(thm)],[f33]) ).

fof(f33_sk,plain,
    ! [X] :
      ( connection(out(n1,not1(X)),in(n2,and1(X)))
      | ~ type(X,halfadder) ),
    inference(skolemisation,[status(esa)],[f33_nnf]) ).

cnf(c33,plain,
    ( connection(out(n1,not1(X0)),in(n2,and1(X0)))
    | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[status(esa)],[f33_sk]) ).

cnf(f34,hypothesis,
    type(h,halfadder),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_isa_halfadder) ).

fof(f34_nnf,plain,
    type(h,halfadder),
    inference(nnf_transformation,[status(thm)],[f34]) ).

cnf(c34,plain,
    type(h,halfadder),
    inference(cnf_transformation,[status(esa)],[f34_nnf]) ).

cnf(p145,plain,
    connection(out(n1,not1(h)),in(n2,and1(h))),
    inference(resolution,[status(thm)],[c33,c34]) ).

cnf(f0,axiom,
    ( value(P2,V)
    | ~ value(P1,V)
    | ~ connection(P1,P2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation1) ).

fof(f0_nnf,plain,
    ! [P1,P2,V] :
      ( value(P2,V)
      | ~ value(P1,V)
      | ~ connection(P1,P2) ),
    inference(nnf_transformation,[status(thm)],[f0]) ).

fof(f0_sk,plain,
    ! [P1,P2,V] :
      ( value(P2,V)
      | ~ value(P1,V)
      | ~ connection(P1,P2) ),
    inference(skolemisation,[status(esa)],[f0_nnf]) ).

cnf(c0,plain,
    ( value(X1,X2)
    | ~ value(X0,X2)
    | ~ connection(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p146,plain,
    ( value(in(n2,and1(h)),X0)
    | ~ value(out(n1,not1(h)),X0) ),
    inference(resolution,[status(thm)],[p145,c0]) ).

cnf(f32,axiom,
    ( connection(out(n1,and2(X)),in(n1,not1(X)))
    | ~ type(X,halfadder) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1and2_in1not1) ).

fof(f32_nnf,plain,
    ! [X] :
      ( connection(out(n1,and2(X)),in(n1,not1(X)))
      | ~ type(X,halfadder) ),
    inference(nnf_transformation,[status(thm)],[f32]) ).

fof(f32_sk,plain,
    ! [X] :
      ( connection(out(n1,and2(X)),in(n1,not1(X)))
      | ~ type(X,halfadder) ),
    inference(skolemisation,[status(esa)],[f32_nnf]) ).

cnf(c32,plain,
    ( connection(out(n1,and2(X0)),in(n1,not1(X0)))
    | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[status(esa)],[f32_sk]) ).

cnf(p140,plain,
    connection(out(n1,and2(h)),in(n1,not1(h))),
    inference(resolution,[status(thm)],[c32,c34]) ).

cnf(p141,plain,
    ( value(in(n1,not1(h)),X0)
    | ~ value(out(n1,and2(h)),X0) ),
    inference(resolution,[status(thm)],[p140,c0]) ).

cnf(f30,axiom,
    ( connection(out(c,X),out(n1,and2(X)))
    | ~ type(X,halfadder) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_outc_out1and2) ).

fof(f30_nnf,plain,
    ! [X] :
      ( connection(out(c,X),out(n1,and2(X)))
      | ~ type(X,halfadder) ),
    inference(nnf_transformation,[status(thm)],[f30]) ).

fof(f30_sk,plain,
    ! [X] :
      ( connection(out(c,X),out(n1,and2(X)))
      | ~ type(X,halfadder) ),
    inference(skolemisation,[status(esa)],[f30_nnf]) ).

cnf(c30,plain,
    ( connection(out(c,X0),out(n1,and2(X0)))
    | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[status(esa)],[f30_sk]) ).

cnf(p130,plain,
    connection(out(c,h),out(n1,and2(h))),
    inference(resolution,[status(thm)],[c30,c34]) ).

cnf(p131,plain,
    ( value(out(n1,and2(h)),X0)
    | ~ value(out(c,h),X0) ),
    inference(resolution,[status(thm)],[p130,c0]) ).

cnf(f38,hypothesis,
    value(out(c,h),n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_0) ).

fof(f38_nnf,plain,
    value(out(c,h),n0),
    inference(nnf_transformation,[status(thm)],[f38]) ).

cnf(c38,plain,
    value(out(c,h),n0),
    inference(cnf_transformation,[status(esa)],[f38_nnf]) ).

cnf(p156,plain,
    value(out(n1,and2(h)),n0),
    inference(resolution,[status(thm)],[p131,c38]) ).

cnf(p161,plain,
    value(in(n1,not1(h)),n0),
    inference(resolution,[status(thm)],[p141,p156]) ).

cnf(f17,axiom,
    ( value(out(n1,K),n1)
    | ~ value(in(n1,K),n0)
    | ~ type(K,not)
    | ~ mode(K,ok) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_0_1_fw) ).

fof(f17_nnf,plain,
    ! [K] :
      ( value(out(n1,K),n1)
      | ~ value(in(n1,K),n0)
      | ~ type(K,not)
      | ~ mode(K,ok) ),
    inference(nnf_transformation,[status(thm)],[f17]) ).

fof(f17_sk,plain,
    ! [K] :
      ( value(out(n1,K),n1)
      | ~ value(in(n1,K),n0)
      | ~ type(K,not)
      | ~ mode(K,ok) ),
    inference(skolemisation,[status(esa)],[f17_nnf]) ).

cnf(c17,plain,
    ( value(out(n1,X0),n1)
    | ~ value(in(n1,X0),n0)
    | ~ type(X0,not)
    | ~ mode(X0,ok) ),
    inference(cnf_transformation,[status(esa)],[f17_sk]) ).

cnf(f23,axiom,
    ( type(not1(X),not)
    | ~ type(X,halfadder) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_not1) ).

fof(f23_nnf,plain,
    ! [X] :
      ( type(not1(X),not)
      | ~ type(X,halfadder) ),
    inference(nnf_transformation,[status(thm)],[f23]) ).

fof(f23_sk,plain,
    ! [X] :
      ( type(not1(X),not)
      | ~ type(X,halfadder) ),
    inference(skolemisation,[status(esa)],[f23_nnf]) ).

cnf(c23,plain,
    ( type(not1(X0),not)
    | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[status(esa)],[f23_sk]) ).

cnf(p54,plain,
    type(not1(h),not),
    inference(resolution,[status(thm)],[c23,c34]) ).

cnf(f6,axiom,
    ( mode(K,abnormal)
    | mode(K,ok)
    | ~ type(K,Any) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ok_or_abnormal) ).

fof(f6_nnf,plain,
    ! [K,Any] :
      ( mode(K,abnormal)
      | mode(K,ok)
      | ~ type(K,Any) ),
    inference(nnf_transformation,[status(thm)],[f6]) ).

fof(f6_sk,plain,
    ! [K,Any] :
      ( mode(K,abnormal)
      | mode(K,ok)
      | ~ type(K,Any) ),
    inference(skolemisation,[status(esa)],[f6_nnf]) ).

cnf(c6,plain,
    ( mode(X0,abnormal)
    | mode(X0,ok)
    | ~ type(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f6_sk]) ).

cnf(p55,plain,
    ( mode(not1(h),abnormal)
    | mode(not1(h),ok) ),
    inference(resolution,[status(thm)],[p54,c6]) ).

cnf(f40,negated_conjecture,
    ~ mode(not1(h),abnormal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_not1) ).

fof(f40_nnf,plain,
    ~ mode(not1(h),abnormal),
    inference(nnf_transformation,[status(thm)],[f40]) ).

fof(f40_sk,plain,
    ~ mode(not1(h),abnormal),
    inference(skolemisation,[status(esa)],[f40_nnf]) ).

cnf(c40,plain,
    ~ mode(not1(h),abnormal),
    inference(cnf_transformation,[status(esa)],[f40_sk]) ).

cnf(p70,plain,
    mode(not1(h),ok),
    inference(resolution,[status(thm)],[p55,c40]) ).

cnf(p96,plain,
    ( value(out(n1,not1(h)),n1)
    | ~ value(in(n1,not1(h)),n0)
    | ~ type(not1(h),not) ),
    inference(resolution,[status(thm)],[c17,p70]) ).

cnf(p103,plain,
    ( value(out(n1,not1(h)),n1)
    | ~ value(in(n1,not1(h)),n0) ),
    inference(resolution,[status(thm)],[p96,p54]) ).

cnf(p163,plain,
    value(out(n1,not1(h)),n1),
    inference(resolution,[status(thm)],[p161,p103]) ).

cnf(p165,plain,
    value(in(n2,and1(h)),n1),
    inference(resolution,[status(thm)],[p146,p163]) ).

cnf(f31,axiom,
    ( connection(out(n1,or1(X)),in(n1,and1(X)))
    | ~ type(X,halfadder) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1or1_in1_and1) ).

fof(f31_nnf,plain,
    ! [X] :
      ( connection(out(n1,or1(X)),in(n1,and1(X)))
      | ~ type(X,halfadder) ),
    inference(nnf_transformation,[status(thm)],[f31]) ).

fof(f31_sk,plain,
    ! [X] :
      ( connection(out(n1,or1(X)),in(n1,and1(X)))
      | ~ type(X,halfadder) ),
    inference(skolemisation,[status(esa)],[f31_nnf]) ).

cnf(c31,plain,
    ( connection(out(n1,or1(X0)),in(n1,and1(X0)))
    | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[status(esa)],[f31_sk]) ).

cnf(p137,plain,
    connection(out(n1,or1(h)),in(n1,and1(h))),
    inference(resolution,[status(thm)],[c31,c34]) ).

cnf(p138,plain,
    ( value(in(n1,and1(h)),X0)
    | ~ value(out(n1,or1(h)),X0) ),
    inference(resolution,[status(thm)],[p137,c0]) ).

cnf(f25,axiom,
    ( connection(in(n1,X),in(n1,or1(X)))
    | ~ type(X,halfadder) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_in1_in1or1) ).

fof(f25_nnf,plain,
    ! [X] :
      ( connection(in(n1,X),in(n1,or1(X)))
      | ~ type(X,halfadder) ),
    inference(nnf_transformation,[status(thm)],[f25]) ).

fof(f25_sk,plain,
    ! [X] :
      ( connection(in(n1,X),in(n1,or1(X)))
      | ~ type(X,halfadder) ),
    inference(skolemisation,[status(esa)],[f25_nnf]) ).

cnf(c25,plain,
    ( connection(in(n1,X0),in(n1,or1(X0)))
    | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[status(esa)],[f25_sk]) ).

cnf(p112,plain,
    connection(in(n1,h),in(n1,or1(h))),
    inference(resolution,[status(thm)],[c25,c34]) ).

cnf(p118,plain,
    ( value(in(n1,or1(h)),X0)
    | ~ value(in(n1,h),X0) ),
    inference(resolution,[status(thm)],[p112,c0]) ).

cnf(f35,hypothesis,
    value(in(n1,h),n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',in1_1) ).

fof(f35_nnf,plain,
    value(in(n1,h),n1),
    inference(nnf_transformation,[status(thm)],[f35]) ).

cnf(c35,plain,
    value(in(n1,h),n1),
    inference(cnf_transformation,[status(esa)],[f35_nnf]) ).

cnf(p133,plain,
    value(in(n1,or1(h)),n1),
    inference(resolution,[status(thm)],[p118,c35]) ).

cnf(f24,axiom,
    ( type(or1(X),or)
    | ~ type(X,halfadder) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_or1) ).

fof(f24_nnf,plain,
    ! [X] :
      ( type(or1(X),or)
      | ~ type(X,halfadder) ),
    inference(nnf_transformation,[status(thm)],[f24]) ).

fof(f24_sk,plain,
    ! [X] :
      ( type(or1(X),or)
      | ~ type(X,halfadder) ),
    inference(skolemisation,[status(esa)],[f24_nnf]) ).

cnf(c24,plain,
    ( type(or1(X0),or)
    | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[status(esa)],[f24_sk]) ).

cnf(p56,plain,
    type(or1(h),or),
    inference(resolution,[status(thm)],[c24,c34]) ).

cnf(p57,plain,
    ( mode(or1(h),abnormal)
    | mode(or1(h),ok) ),
    inference(resolution,[status(thm)],[p56,c6]) ).

cnf(f41,negated_conjecture,
    ~ mode(or1(h),abnormal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1) ).

fof(f41_nnf,plain,
    ~ mode(or1(h),abnormal),
    inference(nnf_transformation,[status(thm)],[f41]) ).

fof(f41_sk,plain,
    ~ mode(or1(h),abnormal),
    inference(skolemisation,[status(esa)],[f41_nnf]) ).

cnf(c41,plain,
    ~ mode(or1(h),abnormal),
    inference(cnf_transformation,[status(esa)],[f41_sk]) ).

cnf(p79,plain,
    mode(or1(h),ok),
    inference(resolution,[status(thm)],[p57,c41]) ).

cnf(f12,axiom,
    ( value(out(n1,K),n1)
    | ~ value(in(Any,K),n1)
    | ~ type(K,or)
    | ~ mode(K,ok) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_1x_1) ).

fof(f12_nnf,plain,
    ! [K,Any] :
      ( value(out(n1,K),n1)
      | ~ value(in(Any,K),n1)
      | ~ type(K,or)
      | ~ mode(K,ok) ),
    inference(nnf_transformation,[status(thm)],[f12]) ).

fof(f12_sk,plain,
    ! [K,Any] :
      ( value(out(n1,K),n1)
      | ~ value(in(Any,K),n1)
      | ~ type(K,or)
      | ~ mode(K,ok) ),
    inference(skolemisation,[status(esa)],[f12_nnf]) ).

cnf(c12,plain,
    ( value(out(n1,X0),n1)
    | ~ value(in(X1,X0),n1)
    | ~ type(X0,or)
    | ~ mode(X0,ok) ),
    inference(cnf_transformation,[status(esa)],[f12_sk]) ).

cnf(p87,plain,
    ( value(out(n1,or1(h)),n1)
    | ~ value(in(X0,or1(h)),n1)
    | ~ type(or1(h),or) ),
    inference(resolution,[status(thm)],[p79,c12]) ).

cnf(p94,plain,
    ( value(out(n1,or1(h)),n1)
    | ~ value(in(X0,or1(h)),n1) ),
    inference(resolution,[status(thm)],[p87,p56]) ).

cnf(p135,plain,
    value(out(n1,or1(h)),n1),
    inference(resolution,[status(thm)],[p133,p94]) ).

cnf(p158,plain,
    value(in(n1,and1(h)),n1),
    inference(resolution,[status(thm)],[p138,p135]) ).

cnf(f21,axiom,
    ( type(and1(X),and)
    | ~ type(X,halfadder) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_and1) ).

fof(f21_nnf,plain,
    ! [X] :
      ( type(and1(X),and)
      | ~ type(X,halfadder) ),
    inference(nnf_transformation,[status(thm)],[f21]) ).

fof(f21_sk,plain,
    ! [X] :
      ( type(and1(X),and)
      | ~ type(X,halfadder) ),
    inference(skolemisation,[status(esa)],[f21_nnf]) ).

cnf(c21,plain,
    ( type(and1(X0),and)
    | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[status(esa)],[f21_sk]) ).

cnf(p42,plain,
    type(and1(h),and),
    inference(resolution,[status(thm)],[c21,c34]) ).

cnf(p51,plain,
    ( mode(and1(h),abnormal)
    | mode(and1(h),ok) ),
    inference(resolution,[status(thm)],[c6,p42]) ).

cnf(f39,negated_conjecture,
    ~ mode(and1(h),abnormal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and1) ).

fof(f39_nnf,plain,
    ~ mode(and1(h),abnormal),
    inference(nnf_transformation,[status(thm)],[f39]) ).

fof(f39_sk,plain,
    ~ mode(and1(h),abnormal),
    inference(skolemisation,[status(esa)],[f39_nnf]) ).

cnf(c39,plain,
    ~ mode(and1(h),abnormal),
    inference(cnf_transformation,[status(esa)],[f39_sk]) ).

cnf(p58,plain,
    mode(and1(h),ok),
    inference(resolution,[status(thm)],[p51,c39]) ).

cnf(f8,axiom,
    ( value(out(n1,K),n1)
    | ~ value(in(n2,K),n1)
    | ~ value(in(n1,K),n1)
    | ~ type(K,and)
    | ~ mode(K,ok) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_11_1) ).

fof(f8_nnf,plain,
    ! [K] :
      ( value(out(n1,K),n1)
      | ~ value(in(n2,K),n1)
      | ~ value(in(n1,K),n1)
      | ~ type(K,and)
      | ~ mode(K,ok) ),
    inference(nnf_transformation,[status(thm)],[f8]) ).

fof(f8_sk,plain,
    ! [K] :
      ( value(out(n1,K),n1)
      | ~ value(in(n2,K),n1)
      | ~ value(in(n1,K),n1)
      | ~ type(K,and)
      | ~ mode(K,ok) ),
    inference(skolemisation,[status(esa)],[f8_nnf]) ).

cnf(c8,plain,
    ( value(out(n1,X0),n1)
    | ~ value(in(n2,X0),n1)
    | ~ value(in(n1,X0),n1)
    | ~ type(X0,and)
    | ~ mode(X0,ok) ),
    inference(cnf_transformation,[status(esa)],[f8_sk]) ).

cnf(p60,plain,
    ( value(out(n1,and1(h)),n1)
    | ~ value(in(n2,and1(h)),n1)
    | ~ value(in(n1,and1(h)),n1)
    | ~ type(and1(h),and) ),
    inference(resolution,[status(thm)],[p58,c8]) ).

cnf(p63,plain,
    ( value(out(n1,and1(h)),n1)
    | ~ value(in(n2,and1(h)),n1)
    | ~ value(in(n1,and1(h)),n1) ),
    inference(resolution,[status(thm)],[p60,p42]) ).

cnf(p160,plain,
    ( value(out(n1,and1(h)),n1)
    | ~ value(in(n2,and1(h)),n1) ),
    inference(resolution,[status(thm)],[p158,p63]) ).

cnf(p168,plain,
    value(out(n1,and1(h)),n1),
    inference(resolution,[status(thm)],[p165,p160]) ).

cnf(f29,axiom,
    ( connection(out(s,X),out(n1,and1(X)))
    | ~ type(X,halfadder) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_outs_out1and1) ).

fof(f29_nnf,plain,
    ! [X] :
      ( connection(out(s,X),out(n1,and1(X)))
      | ~ type(X,halfadder) ),
    inference(nnf_transformation,[status(thm)],[f29]) ).

fof(f29_sk,plain,
    ! [X] :
      ( connection(out(s,X),out(n1,and1(X)))
      | ~ type(X,halfadder) ),
    inference(skolemisation,[status(esa)],[f29_nnf]) ).

cnf(c29,plain,
    ( connection(out(s,X0),out(n1,and1(X0)))
    | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[status(esa)],[f29_sk]) ).

cnf(p127,plain,
    connection(out(s,h),out(n1,and1(h))),
    inference(resolution,[status(thm)],[c29,c34]) ).

cnf(p128,plain,
    ( value(out(n1,and1(h)),X0)
    | ~ value(out(s,h),X0) ),
    inference(resolution,[status(thm)],[p127,c0]) ).

cnf(f37,hypothesis,
    value(out(s,h),n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',outs_0) ).

fof(f37_nnf,plain,
    value(out(s,h),n0),
    inference(nnf_transformation,[status(thm)],[f37]) ).

cnf(c37,plain,
    value(out(s,h),n0),
    inference(cnf_transformation,[status(esa)],[f37_nnf]) ).

cnf(p152,plain,
    value(out(n1,and1(h)),n0),
    inference(resolution,[status(thm)],[p128,c37]) ).

cnf(f2,axiom,
    ( equal_value(V1,V2)
    | ~ value(P,V2)
    | ~ value(P,V1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_value) ).

fof(f2_nnf,plain,
    ! [P,V1,V2] :
      ( equal_value(V1,V2)
      | ~ value(P,V2)
      | ~ value(P,V1) ),
    inference(nnf_transformation,[status(thm)],[f2]) ).

fof(f2_sk,plain,
    ! [P,V1,V2] :
      ( equal_value(V1,V2)
      | ~ value(P,V2)
      | ~ value(P,V1) ),
    inference(skolemisation,[status(esa)],[f2_nnf]) ).

cnf(c2,plain,
    ( equal_value(X1,X2)
    | ~ value(X0,X2)
    | ~ value(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

cnf(p153,plain,
    ( equal_value(n0,X0)
    | ~ value(out(n1,and1(h)),X0) ),
    inference(resolution,[status(thm)],[p152,c2]) ).

cnf(p171,plain,
    equal_value(n0,n1),
    inference(resolution,[status(thm)],[p168,p153]) ).

cnf(f3,axiom,
    ~ equal_value(n0,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_value1) ).

fof(f3_nnf,plain,
    ~ equal_value(n0,n1),
    inference(nnf_transformation,[status(thm)],[f3]) ).

fof(f3_sk,plain,
    ~ equal_value(n0,n1),
    inference(skolemisation,[status(esa)],[f3_nnf]) ).

cnf(c3,plain,
    ~ equal_value(n0,n1),
    inference(cnf_transformation,[status(esa)],[f3_sk]) ).

cnf(p173,plain,
    $false,
    inference(resolution,[status(thm)],[p171,c3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : HWV005-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/5.37  % Computer : n019.cluster.edu
% 0.08/5.37  % Model    : x86_64 x86_64
% 0.08/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37  % Memory   : 8046.5625MB
% 0.08/5.37  % OS       : Linux 6.8.0-71-generic
% 0.08/5.37  % CPULimit : 300
% 0.08/5.37  % WCLimit  : 300
% 0.08/5.37  % DateTime : Wed Sep 23 16:20:41 UTC 2026
% 0.08/5.37  % CPUTime  : 
% 0.08/5.37  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.24/6.17  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.24/6.17  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------