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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : HWV007-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% 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 : Fri Sep 25 01:37:38 PM UTC 2026

% Result   : Unsatisfiable 5.27s 1.11s
% Output   : Proof 5.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   47
% Syntax   : Number of formulae    :  275 (  78 unt;   0 def)
%            Number of atoms       :  535 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  516 ( 256   ~; 260   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   1 con; 0-1 aty)
%            Number of variables   :  156 (   0 sgn  78   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(f39,axiom,
    ( connection(out1(not1(X)),in2(and1(X)))
    | ~ halfadder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_out1not1_in2and1) ).

fof(f39_nnf,plain,
    ! [X] :
      ( connection(out1(not1(X)),in2(and1(X)))
      | ~ halfadder(X) ),
    inference(nnf_transformation,[status(thm)],[f39]) ).

fof(f39_sk,plain,
    ! [X] :
      ( connection(out1(not1(X)),in2(and1(X)))
      | ~ halfadder(X) ),
    inference(skolemisation,[status(esa)],[f39_nnf]) ).

cnf(c39,plain,
    ( connection(out1(not1(X0)),in2(and1(X0)))
    | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(esa)],[f39_sk]) ).

cnf(f40,axiom,
    ( halfadder(h1(X))
    | ~ fulladder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_halfadder1) ).

fof(f40_nnf,plain,
    ! [X] :
      ( halfadder(h1(X))
      | ~ fulladder(X) ),
    inference(nnf_transformation,[status(thm)],[f40]) ).

fof(f40_sk,plain,
    ! [X] :
      ( halfadder(h1(X))
      | ~ fulladder(X) ),
    inference(skolemisation,[status(esa)],[f40_nnf]) ).

cnf(c40,plain,
    ( halfadder(h1(X0))
    | ~ fulladder(X0) ),
    inference(cnf_transformation,[status(esa)],[f40_sk]) ).

cnf(f51,hypothesis,
    fulladder(f),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_isa_fulladder) ).

fof(f51_nnf,plain,
    fulladder(f),
    inference(nnf_transformation,[status(thm)],[f51]) ).

cnf(c51,plain,
    fulladder(f),
    inference(cnf_transformation,[status(esa)],[f51_nnf]) ).

cnf(p64,plain,
    halfadder(h1(f)),
    inference(resolution,[status(thm)],[c40,c51]) ).

cnf(p186,plain,
    connection(out1(not1(h1(f))),in2(and1(h1(f)))),
    inference(resolution,[status(thm)],[c39,p64]) ).

cnf(f0,axiom,
    ( zero(P2)
    | ~ zero(P1)
    | ~ connection(P1,P2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation_zero1) ).

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

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

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

cnf(p239,plain,
    ( zero(in2(and1(h1(f))))
    | ~ zero(out1(not1(h1(f)))) ),
    inference(resolution,[status(thm)],[p186,c0]) ).

cnf(f26,axiom,
    ( abnormal(K)
    | not_ok(K)
    | ~ logic_not(K) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_ok_or_abnormal) ).

fof(f26_nnf,plain,
    ! [K] :
      ( abnormal(K)
      | not_ok(K)
      | ~ logic_not(K) ),
    inference(nnf_transformation,[status(thm)],[f26]) ).

fof(f26_sk,plain,
    ! [K] :
      ( abnormal(K)
      | not_ok(K)
      | ~ logic_not(K) ),
    inference(skolemisation,[status(esa)],[f26_nnf]) ).

cnf(c26,plain,
    ( abnormal(X0)
    | not_ok(X0)
    | ~ logic_not(X0) ),
    inference(cnf_transformation,[status(esa)],[f26_sk]) ).

cnf(f29,axiom,
    ( logic_not(not1(X))
    | ~ halfadder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_not1) ).

fof(f29_nnf,plain,
    ! [X] :
      ( logic_not(not1(X))
      | ~ halfadder(X) ),
    inference(nnf_transformation,[status(thm)],[f29]) ).

fof(f29_sk,plain,
    ! [X] :
      ( logic_not(not1(X))
      | ~ halfadder(X) ),
    inference(skolemisation,[status(esa)],[f29_nnf]) ).

cnf(c29,plain,
    ( logic_not(not1(X0))
    | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(esa)],[f29_sk]) ).

cnf(p67,plain,
    logic_not(not1(h1(f))),
    inference(resolution,[status(thm)],[p64,c29]) ).

cnf(p82,plain,
    ( abnormal(not1(h1(f)))
    | not_ok(not1(h1(f))) ),
    inference(resolution,[status(thm)],[c26,p67]) ).

cnf(f22,axiom,
    ( zero(out1(K))
    | ~ one(in1(K))
    | ~ not_ok(K) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_1_0_fw) ).

fof(f22_nnf,plain,
    ! [K] :
      ( zero(out1(K))
      | ~ one(in1(K))
      | ~ not_ok(K) ),
    inference(nnf_transformation,[status(thm)],[f22]) ).

fof(f22_sk,plain,
    ! [K] :
      ( zero(out1(K))
      | ~ one(in1(K))
      | ~ not_ok(K) ),
    inference(skolemisation,[status(esa)],[f22_nnf]) ).

cnf(c22,plain,
    ( zero(out1(X0))
    | ~ one(in1(X0))
    | ~ not_ok(X0) ),
    inference(cnf_transformation,[status(esa)],[f22_sk]) ).

cnf(p206,plain,
    ( zero(out1(not1(h1(f))))
    | ~ one(in1(not1(h1(f))))
    | abnormal(not1(h1(f))) ),
    inference(resolution,[status(thm)],[p82,c22]) ).

cnf(f38,axiom,
    ( connection(out1(and2(X)),in1(not1(X)))
    | ~ halfadder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_out1and2_in1not1) ).

fof(f38_nnf,plain,
    ! [X] :
      ( connection(out1(and2(X)),in1(not1(X)))
      | ~ halfadder(X) ),
    inference(nnf_transformation,[status(thm)],[f38]) ).

fof(f38_sk,plain,
    ! [X] :
      ( connection(out1(and2(X)),in1(not1(X)))
      | ~ halfadder(X) ),
    inference(skolemisation,[status(esa)],[f38_nnf]) ).

cnf(c38,plain,
    ( connection(out1(and2(X0)),in1(not1(X0)))
    | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(esa)],[f38_sk]) ).

cnf(p184,plain,
    connection(out1(and2(h1(f))),in1(not1(h1(f)))),
    inference(resolution,[status(thm)],[c38,p64]) ).

cnf(f1,axiom,
    ( one(P2)
    | ~ one(P1)
    | ~ connection(P1,P2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation_one1) ).

fof(f1_nnf,plain,
    ! [P1,P2] :
      ( one(P2)
      | ~ one(P1)
      | ~ connection(P1,P2) ),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [P1,P2] :
      ( one(P2)
      | ~ one(P1)
      | ~ connection(P1,P2) ),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c1,plain,
    ( one(X1)
    | ~ one(X0)
    | ~ connection(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(p232,plain,
    ( one(in1(not1(h1(f))))
    | ~ one(out1(and2(h1(f)))) ),
    inference(resolution,[status(thm)],[p184,c1]) ).

cnf(f34,axiom,
    ( connection(in2(X),in2(and2(X)))
    | ~ halfadder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in2_in2and2) ).

fof(f34_nnf,plain,
    ! [X] :
      ( connection(in2(X),in2(and2(X)))
      | ~ halfadder(X) ),
    inference(nnf_transformation,[status(thm)],[f34]) ).

fof(f34_sk,plain,
    ! [X] :
      ( connection(in2(X),in2(and2(X)))
      | ~ halfadder(X) ),
    inference(skolemisation,[status(esa)],[f34_nnf]) ).

cnf(c34,plain,
    ( connection(in2(X0),in2(and2(X0)))
    | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(esa)],[f34_sk]) ).

cnf(p116,plain,
    connection(in2(h1(f)),in2(and2(h1(f)))),
    inference(resolution,[status(thm)],[c34,p64]) ).

cnf(p119,plain,
    ( one(in2(and2(h1(f))))
    | ~ one(in2(h1(f))) ),
    inference(resolution,[status(thm)],[p116,c1]) ).

cnf(f48,axiom,
    ( connection(inc(X),in2(h1(X)))
    | ~ fulladder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_inc_in2h1) ).

fof(f48_nnf,plain,
    ! [X] :
      ( connection(inc(X),in2(h1(X)))
      | ~ fulladder(X) ),
    inference(nnf_transformation,[status(thm)],[f48]) ).

fof(f48_sk,plain,
    ! [X] :
      ( connection(inc(X),in2(h1(X)))
      | ~ fulladder(X) ),
    inference(skolemisation,[status(esa)],[f48_nnf]) ).

cnf(c48,plain,
    ( connection(inc(X0),in2(h1(X0)))
    | ~ fulladder(X0) ),
    inference(cnf_transformation,[status(esa)],[f48_sk]) ).

cnf(p160,plain,
    connection(inc(f),in2(h1(f))),
    inference(resolution,[status(thm)],[c48,c51]) ).

cnf(p162,plain,
    ( one(in2(h1(f)))
    | ~ one(inc(f)) ),
    inference(resolution,[status(thm)],[p160,c1]) ).

cnf(f54,hypothesis,
    one(inc(f)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inc_1) ).

fof(f54_nnf,plain,
    one(inc(f)),
    inference(nnf_transformation,[status(thm)],[f54]) ).

cnf(c54,plain,
    one(inc(f)),
    inference(cnf_transformation,[status(esa)],[f54_nnf]) ).

cnf(p164,plain,
    one(in2(h1(f))),
    inference(resolution,[status(thm)],[p162,c54]) ).

cnf(p255,plain,
    one(in2(and2(h1(f)))),
    inference(resolution,[status(thm)],[p119,p164]) ).

cnf(f33,axiom,
    ( connection(in1(X),in1(and2(X)))
    | ~ halfadder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in1_in1and2) ).

fof(f33_nnf,plain,
    ! [X] :
      ( connection(in1(X),in1(and2(X)))
      | ~ halfadder(X) ),
    inference(nnf_transformation,[status(thm)],[f33]) ).

fof(f33_sk,plain,
    ! [X] :
      ( connection(in1(X),in1(and2(X)))
      | ~ halfadder(X) ),
    inference(skolemisation,[status(esa)],[f33_nnf]) ).

cnf(c33,plain,
    ( connection(in1(X0),in1(and2(X0)))
    | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(esa)],[f33_sk]) ).

cnf(p105,plain,
    connection(in1(h1(f)),in1(and2(h1(f)))),
    inference(resolution,[status(thm)],[c33,p64]) ).

cnf(p108,plain,
    ( one(in1(and2(h1(f))))
    | ~ one(in1(h1(f))) ),
    inference(resolution,[status(thm)],[p105,c1]) ).

cnf(f47,axiom,
    ( connection(in2(X),in1(h1(X)))
    | ~ fulladder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_in2_in1h1) ).

fof(f47_nnf,plain,
    ! [X] :
      ( connection(in2(X),in1(h1(X)))
      | ~ fulladder(X) ),
    inference(nnf_transformation,[status(thm)],[f47]) ).

fof(f47_sk,plain,
    ! [X] :
      ( connection(in2(X),in1(h1(X)))
      | ~ fulladder(X) ),
    inference(skolemisation,[status(esa)],[f47_nnf]) ).

cnf(c47,plain,
    ( connection(in2(X0),in1(h1(X0)))
    | ~ fulladder(X0) ),
    inference(cnf_transformation,[status(esa)],[f47_sk]) ).

cnf(p154,plain,
    connection(in2(f),in1(h1(f))),
    inference(resolution,[status(thm)],[c47,c51]) ).

cnf(p156,plain,
    ( one(in1(h1(f)))
    | ~ one(in2(f)) ),
    inference(resolution,[status(thm)],[p154,c1]) ).

cnf(f53,hypothesis,
    one(in2(f)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in2_0) ).

fof(f53_nnf,plain,
    one(in2(f)),
    inference(nnf_transformation,[status(thm)],[f53]) ).

cnf(c53,plain,
    one(in2(f)),
    inference(cnf_transformation,[status(esa)],[f53_nnf]) ).

cnf(p159,plain,
    one(in1(h1(f))),
    inference(resolution,[status(thm)],[p156,c53]) ).

cnf(p251,plain,
    one(in1(and2(h1(f)))),
    inference(resolution,[status(thm)],[p108,p159]) ).

cnf(f12,axiom,
    ( abnormal(K)
    | and_ok(K)
    | ~ logic_and(K) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_ok_or_abnormal) ).

fof(f12_nnf,plain,
    ! [K] :
      ( abnormal(K)
      | and_ok(K)
      | ~ logic_and(K) ),
    inference(nnf_transformation,[status(thm)],[f12]) ).

fof(f12_sk,plain,
    ! [K] :
      ( abnormal(K)
      | and_ok(K)
      | ~ logic_and(K) ),
    inference(skolemisation,[status(esa)],[f12_nnf]) ).

cnf(c12,plain,
    ( abnormal(X0)
    | and_ok(X0)
    | ~ logic_and(X0) ),
    inference(cnf_transformation,[status(esa)],[f12_sk]) ).

cnf(f28,axiom,
    ( logic_and(and2(X))
    | ~ halfadder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_and2) ).

fof(f28_nnf,plain,
    ! [X] :
      ( logic_and(and2(X))
      | ~ halfadder(X) ),
    inference(nnf_transformation,[status(thm)],[f28]) ).

fof(f28_sk,plain,
    ! [X] :
      ( logic_and(and2(X))
      | ~ halfadder(X) ),
    inference(skolemisation,[status(esa)],[f28_nnf]) ).

cnf(c28,plain,
    ( logic_and(and2(X0))
    | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(esa)],[f28_sk]) ).

cnf(p66,plain,
    logic_and(and2(h1(f))),
    inference(resolution,[status(thm)],[p64,c28]) ).

cnf(p76,plain,
    ( abnormal(and2(h1(f)))
    | and_ok(and2(h1(f))) ),
    inference(resolution,[status(thm)],[c12,p66]) ).

cnf(f57,negated_conjecture,
    ~ abnormal(and2(h1(f))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h1) ).

fof(f57_nnf,plain,
    ~ abnormal(and2(h1(f))),
    inference(nnf_transformation,[status(thm)],[f57]) ).

fof(f57_sk,plain,
    ~ abnormal(and2(h1(f))),
    inference(skolemisation,[status(esa)],[f57_nnf]) ).

cnf(c57,plain,
    ~ abnormal(and2(h1(f))),
    inference(cnf_transformation,[status(esa)],[f57_sk]) ).

cnf(p177,plain,
    and_ok(and2(h1(f))),
    inference(resolution,[status(thm)],[p76,c57]) ).

cnf(f7,axiom,
    ( one(out1(K))
    | ~ one(in2(K))
    | ~ one(in1(K))
    | ~ and_ok(K) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_11_1) ).

fof(f7_nnf,plain,
    ! [K] :
      ( one(out1(K))
      | ~ one(in2(K))
      | ~ one(in1(K))
      | ~ and_ok(K) ),
    inference(nnf_transformation,[status(thm)],[f7]) ).

fof(f7_sk,plain,
    ! [K] :
      ( one(out1(K))
      | ~ one(in2(K))
      | ~ one(in1(K))
      | ~ and_ok(K) ),
    inference(skolemisation,[status(esa)],[f7_nnf]) ).

cnf(c7,plain,
    ( one(out1(X0))
    | ~ one(in2(X0))
    | ~ one(in1(X0))
    | ~ and_ok(X0) ),
    inference(cnf_transformation,[status(esa)],[f7_sk]) ).

cnf(p180,plain,
    ( one(out1(and2(h1(f))))
    | ~ one(in2(and2(h1(f))))
    | ~ one(in1(and2(h1(f)))) ),
    inference(resolution,[status(thm)],[p177,c7]) ).

cnf(p252,plain,
    ( one(out1(and2(h1(f))))
    | ~ one(in2(and2(h1(f)))) ),
    inference(resolution,[status(thm)],[p251,p180]) ).

cnf(p256,plain,
    one(out1(and2(h1(f)))),
    inference(resolution,[status(thm)],[p255,p252]) ).

cnf(p286,plain,
    one(in1(not1(h1(f)))),
    inference(resolution,[status(thm)],[p232,p256]) ).

cnf(p298,plain,
    ( zero(out1(not1(h1(f))))
    | abnormal(not1(h1(f))) ),
    inference(resolution,[status(thm)],[p206,p286]) ).

cnf(p300,plain,
    ( abnormal(not1(h1(f)))
    | zero(in2(and1(h1(f)))) ),
    inference(resolution,[status(thm)],[p239,p298]) ).

cnf(f4,axiom,
    ( ~ one(P)
    | ~ zero(P) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_value) ).

fof(f4_nnf,plain,
    ! [P] :
      ( ~ one(P)
      | ~ zero(P) ),
    inference(nnf_transformation,[status(thm)],[f4]) ).

fof(f4_sk,plain,
    ! [P] :
      ( ~ one(P)
      | ~ zero(P) ),
    inference(skolemisation,[status(esa)],[f4_nnf]) ).

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

cnf(p301,plain,
    ( ~ one(in2(and1(h1(f))))
    | abnormal(not1(h1(f))) ),
    inference(resolution,[status(thm)],[p300,c4]) ).

cnf(f20,axiom,
    ( abnormal(K)
    | or_ok(K)
    | ~ logic_or(K) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_ok_or_abnormal) ).

fof(f20_nnf,plain,
    ! [K] :
      ( abnormal(K)
      | or_ok(K)
      | ~ logic_or(K) ),
    inference(nnf_transformation,[status(thm)],[f20]) ).

fof(f20_sk,plain,
    ! [K] :
      ( abnormal(K)
      | or_ok(K)
      | ~ logic_or(K) ),
    inference(skolemisation,[status(esa)],[f20_nnf]) ).

cnf(c20,plain,
    ( abnormal(X0)
    | or_ok(X0)
    | ~ logic_or(X0) ),
    inference(cnf_transformation,[status(esa)],[f20_sk]) ).

cnf(f41,axiom,
    ( halfadder(h2(X))
    | ~ fulladder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_halfadder2) ).

fof(f41_nnf,plain,
    ! [X] :
      ( halfadder(h2(X))
      | ~ fulladder(X) ),
    inference(nnf_transformation,[status(thm)],[f41]) ).

fof(f41_sk,plain,
    ! [X] :
      ( halfadder(h2(X))
      | ~ fulladder(X) ),
    inference(skolemisation,[status(esa)],[f41_nnf]) ).

cnf(c41,plain,
    ( halfadder(h2(X0))
    | ~ fulladder(X0) ),
    inference(cnf_transformation,[status(esa)],[f41_sk]) ).

cnf(p69,plain,
    halfadder(h2(f)),
    inference(resolution,[status(thm)],[c41,c51]) ).

cnf(f30,axiom,
    ( logic_or(or1(X))
    | ~ halfadder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_or1) ).

fof(f30_nnf,plain,
    ! [X] :
      ( logic_or(or1(X))
      | ~ halfadder(X) ),
    inference(nnf_transformation,[status(thm)],[f30]) ).

fof(f30_sk,plain,
    ! [X] :
      ( logic_or(or1(X))
      | ~ halfadder(X) ),
    inference(skolemisation,[status(esa)],[f30_nnf]) ).

cnf(c30,plain,
    ( logic_or(or1(X0))
    | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(esa)],[f30_sk]) ).

cnf(p73,plain,
    logic_or(or1(h2(f))),
    inference(resolution,[status(thm)],[p69,c30]) ).

cnf(p80,plain,
    ( abnormal(or1(h2(f)))
    | or_ok(or1(h2(f))) ),
    inference(resolution,[status(thm)],[c20,p73]) ).

cnf(f16,axiom,
    ( one(in2(K))
    | one(in1(K))
    | ~ one(out1(K))
    | ~ or_ok(K) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_1_11) ).

fof(f16_nnf,plain,
    ! [K] :
      ( one(in2(K))
      | one(in1(K))
      | ~ one(out1(K))
      | ~ or_ok(K) ),
    inference(nnf_transformation,[status(thm)],[f16]) ).

fof(f16_sk,plain,
    ! [K] :
      ( one(in2(K))
      | one(in1(K))
      | ~ one(out1(K))
      | ~ or_ok(K) ),
    inference(skolemisation,[status(esa)],[f16_nnf]) ).

cnf(c16,plain,
    ( one(in2(X0))
    | one(in1(X0))
    | ~ one(out1(X0))
    | ~ or_ok(X0) ),
    inference(cnf_transformation,[status(esa)],[f16_sk]) ).

cnf(p202,plain,
    ( one(in2(or1(h2(f))))
    | one(in1(or1(h2(f))))
    | ~ one(out1(or1(h2(f))))
    | abnormal(or1(h2(f))) ),
    inference(resolution,[status(thm)],[p80,c16]) ).

cnf(f37,axiom,
    ( connection(out1(or1(X)),in1(and1(X)))
    | ~ halfadder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_out1or1_in1_and1) ).

fof(f37_nnf,plain,
    ! [X] :
      ( connection(out1(or1(X)),in1(and1(X)))
      | ~ halfadder(X) ),
    inference(nnf_transformation,[status(thm)],[f37]) ).

fof(f37_sk,plain,
    ! [X] :
      ( connection(out1(or1(X)),in1(and1(X)))
      | ~ halfadder(X) ),
    inference(skolemisation,[status(esa)],[f37_nnf]) ).

cnf(c37,plain,
    ( connection(out1(or1(X0)),in1(and1(X0)))
    | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(esa)],[f37_sk]) ).

cnf(p176,plain,
    connection(out1(or1(h2(f))),in1(and1(h2(f)))),
    inference(resolution,[status(thm)],[c37,p69]) ).

cnf(f3,axiom,
    ( one(P1)
    | ~ one(P2)
    | ~ connection(P1,P2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation_one2) ).

fof(f3_nnf,plain,
    ! [P1,P2] :
      ( one(P1)
      | ~ one(P2)
      | ~ connection(P1,P2) ),
    inference(nnf_transformation,[status(thm)],[f3]) ).

fof(f3_sk,plain,
    ! [P1,P2] :
      ( one(P1)
      | ~ one(P2)
      | ~ connection(P1,P2) ),
    inference(skolemisation,[status(esa)],[f3_nnf]) ).

cnf(c3,plain,
    ( one(X0)
    | ~ one(X1)
    | ~ connection(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f3_sk]) ).

cnf(p225,plain,
    ( one(out1(or1(h2(f))))
    | ~ one(in1(and1(h2(f)))) ),
    inference(resolution,[status(thm)],[p176,c3]) ).

cnf(f36,axiom,
    ( connection(outc(X),out1(and2(X)))
    | ~ halfadder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_outc_out1and2) ).

fof(f36_nnf,plain,
    ! [X] :
      ( connection(outc(X),out1(and2(X)))
      | ~ halfadder(X) ),
    inference(nnf_transformation,[status(thm)],[f36]) ).

fof(f36_sk,plain,
    ! [X] :
      ( connection(outc(X),out1(and2(X)))
      | ~ halfadder(X) ),
    inference(skolemisation,[status(esa)],[f36_nnf]) ).

cnf(c36,plain,
    ( connection(outc(X0),out1(and2(X0)))
    | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(esa)],[f36_sk]) ).

cnf(p137,plain,
    connection(outc(h1(f)),out1(and2(h1(f)))),
    inference(resolution,[status(thm)],[c36,p64]) ).

cnf(p142,plain,
    ( one(outc(h1(f)))
    | ~ one(out1(and2(h1(f)))) ),
    inference(resolution,[status(thm)],[p137,c3]) ).

cnf(p258,plain,
    one(outc(h1(f))),
    inference(resolution,[status(thm)],[p142,p256]) ).

cnf(f44,axiom,
    ( connection(outc(h1(X)),in2(or1(X)))
    | ~ fulladder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outch1_in2or1) ).

fof(f44_nnf,plain,
    ! [X] :
      ( connection(outc(h1(X)),in2(or1(X)))
      | ~ fulladder(X) ),
    inference(nnf_transformation,[status(thm)],[f44]) ).

fof(f44_sk,plain,
    ! [X] :
      ( connection(outc(h1(X)),in2(or1(X)))
      | ~ fulladder(X) ),
    inference(skolemisation,[status(esa)],[f44_nnf]) ).

cnf(c44,plain,
    ( connection(outc(h1(X0)),in2(or1(X0)))
    | ~ fulladder(X0) ),
    inference(cnf_transformation,[status(esa)],[f44_sk]) ).

cnf(p209,plain,
    connection(outc(h1(f)),in2(or1(f))),
    inference(resolution,[status(thm)],[c44,c51]) ).

cnf(p211,plain,
    ( one(in2(or1(f)))
    | ~ one(outc(h1(f))) ),
    inference(resolution,[status(thm)],[p209,c1]) ).

cnf(p259,plain,
    one(in2(or1(f))),
    inference(resolution,[status(thm)],[p258,p211]) ).

cnf(f14,axiom,
    ( one(out1(K))
    | ~ one(in2(K))
    | ~ or_ok(K) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_x1_1) ).

fof(f14_nnf,plain,
    ! [K] :
      ( one(out1(K))
      | ~ one(in2(K))
      | ~ or_ok(K) ),
    inference(nnf_transformation,[status(thm)],[f14]) ).

fof(f14_sk,plain,
    ! [K] :
      ( one(out1(K))
      | ~ one(in2(K))
      | ~ or_ok(K) ),
    inference(skolemisation,[status(esa)],[f14_nnf]) ).

cnf(c14,plain,
    ( one(out1(X0))
    | ~ one(in2(X0))
    | ~ or_ok(X0) ),
    inference(cnf_transformation,[status(esa)],[f14_sk]) ).

cnf(f42,axiom,
    ( logic_or(or1(X))
    | ~ fulladder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_or1) ).

fof(f42_nnf,plain,
    ! [X] :
      ( logic_or(or1(X))
      | ~ fulladder(X) ),
    inference(nnf_transformation,[status(thm)],[f42]) ).

fof(f42_sk,plain,
    ! [X] :
      ( logic_or(or1(X))
      | ~ fulladder(X) ),
    inference(skolemisation,[status(esa)],[f42_nnf]) ).

cnf(c42,plain,
    ( logic_or(or1(X0))
    | ~ fulladder(X0) ),
    inference(cnf_transformation,[status(esa)],[f42_sk]) ).

cnf(p74,plain,
    logic_or(or1(f)),
    inference(resolution,[status(thm)],[c42,c51]) ).

cnf(p81,plain,
    ( abnormal(or1(f))
    | or_ok(or1(f)) ),
    inference(resolution,[status(thm)],[c20,p74]) ).

cnf(p115,plain,
    ( abnormal(or1(f))
    | one(out1(or1(f)))
    | ~ one(in2(or1(f))) ),
    inference(resolution,[status(thm)],[c14,p81]) ).

cnf(p260,plain,
    ( abnormal(or1(f))
    | one(out1(or1(f))) ),
    inference(resolution,[status(thm)],[p259,p115]) ).

cnf(f50,axiom,
    ( connection(outc(X),out1(or1(X)))
    | ~ fulladder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outc_out1or1) ).

fof(f50_nnf,plain,
    ! [X] :
      ( connection(outc(X),out1(or1(X)))
      | ~ fulladder(X) ),
    inference(nnf_transformation,[status(thm)],[f50]) ).

fof(f50_sk,plain,
    ! [X] :
      ( connection(outc(X),out1(or1(X)))
      | ~ fulladder(X) ),
    inference(skolemisation,[status(esa)],[f50_nnf]) ).

cnf(c50,plain,
    ( connection(outc(X0),out1(or1(X0)))
    | ~ fulladder(X0) ),
    inference(cnf_transformation,[status(esa)],[f50_sk]) ).

cnf(p170,plain,
    connection(outc(f),out1(or1(f))),
    inference(resolution,[status(thm)],[c50,c51]) ).

cnf(p171,plain,
    ( zero(out1(or1(f)))
    | ~ zero(outc(f)) ),
    inference(resolution,[status(thm)],[p170,c0]) ).

cnf(f56,hypothesis,
    zero(outc(f)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_0) ).

fof(f56_nnf,plain,
    zero(outc(f)),
    inference(nnf_transformation,[status(thm)],[f56]) ).

cnf(c56,plain,
    zero(outc(f)),
    inference(cnf_transformation,[status(esa)],[f56_nnf]) ).

cnf(p173,plain,
    zero(out1(or1(f))),
    inference(resolution,[status(thm)],[p171,c56]) ).

cnf(p174,plain,
    ~ one(out1(or1(f))),
    inference(resolution,[status(thm)],[p173,c4]) ).

cnf(p261,plain,
    abnormal(or1(f)),
    inference(resolution,[status(thm)],[p260,p174]) ).

cnf(f60,negated_conjecture,
    ( ~ abnormal(and1(h2(f)))
    | ~ abnormal(or1(f)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_and1h2) ).

fof(f60_nnf,plain,
    ( ~ abnormal(and1(h2(f)))
    | ~ abnormal(or1(f)) ),
    inference(nnf_transformation,[status(thm)],[f60]) ).

fof(f60_sk,plain,
    ( ~ abnormal(and1(h2(f)))
    | ~ abnormal(or1(f)) ),
    inference(skolemisation,[status(esa)],[f60_nnf]) ).

cnf(c60,plain,
    ( ~ abnormal(and1(h2(f)))
    | ~ abnormal(or1(f)) ),
    inference(cnf_transformation,[status(esa)],[f60_sk]) ).

cnf(p264,plain,
    ~ abnormal(and1(h2(f))),
    inference(resolution,[status(thm)],[p261,c60]) ).

cnf(f27,axiom,
    ( logic_and(and1(X))
    | ~ halfadder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_and1) ).

fof(f27_nnf,plain,
    ! [X] :
      ( logic_and(and1(X))
      | ~ halfadder(X) ),
    inference(nnf_transformation,[status(thm)],[f27]) ).

fof(f27_sk,plain,
    ! [X] :
      ( logic_and(and1(X))
      | ~ halfadder(X) ),
    inference(skolemisation,[status(esa)],[f27_nnf]) ).

cnf(c27,plain,
    ( logic_and(and1(X0))
    | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(esa)],[f27_sk]) ).

cnf(p70,plain,
    logic_and(and1(h2(f))),
    inference(resolution,[status(thm)],[p69,c27]) ).

cnf(p77,plain,
    ( abnormal(and1(h2(f)))
    | and_ok(and1(h2(f))) ),
    inference(resolution,[status(thm)],[c12,p70]) ).

cnf(p267,plain,
    and_ok(and1(h2(f))),
    inference(resolution,[status(thm)],[p264,p77]) ).

cnf(f9,axiom,
    ( one(in1(K))
    | ~ one(out1(K))
    | ~ and_ok(K) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_1_1x) ).

fof(f9_nnf,plain,
    ! [K] :
      ( one(in1(K))
      | ~ one(out1(K))
      | ~ and_ok(K) ),
    inference(nnf_transformation,[status(thm)],[f9]) ).

fof(f9_sk,plain,
    ! [K] :
      ( one(in1(K))
      | ~ one(out1(K))
      | ~ and_ok(K) ),
    inference(skolemisation,[status(esa)],[f9_nnf]) ).

cnf(c9,plain,
    ( one(in1(X0))
    | ~ one(out1(X0))
    | ~ and_ok(X0) ),
    inference(cnf_transformation,[status(esa)],[f9_sk]) ).

cnf(p277,plain,
    ( one(in1(and1(h2(f))))
    | ~ one(out1(and1(h2(f)))) ),
    inference(resolution,[status(thm)],[p267,c9]) ).

cnf(f35,axiom,
    ( connection(outs(X),out1(and1(X)))
    | ~ halfadder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_outs_out1and1) ).

fof(f35_nnf,plain,
    ! [X] :
      ( connection(outs(X),out1(and1(X)))
      | ~ halfadder(X) ),
    inference(nnf_transformation,[status(thm)],[f35]) ).

fof(f35_sk,plain,
    ! [X] :
      ( connection(outs(X),out1(and1(X)))
      | ~ halfadder(X) ),
    inference(skolemisation,[status(esa)],[f35_nnf]) ).

cnf(c35,plain,
    ( connection(outs(X0),out1(and1(X0)))
    | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(esa)],[f35_sk]) ).

cnf(p127,plain,
    connection(outs(h2(f)),out1(and1(h2(f)))),
    inference(resolution,[status(thm)],[c35,p69]) ).

cnf(p134,plain,
    ( one(out1(and1(h2(f))))
    | ~ one(outs(h2(f))) ),
    inference(resolution,[status(thm)],[p127,c1]) ).

cnf(f49,axiom,
    ( connection(outs(X),outs(h2(X)))
    | ~ fulladder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outs_outsh2) ).

fof(f49_nnf,plain,
    ! [X] :
      ( connection(outs(X),outs(h2(X)))
      | ~ fulladder(X) ),
    inference(nnf_transformation,[status(thm)],[f49]) ).

fof(f49_sk,plain,
    ! [X] :
      ( connection(outs(X),outs(h2(X)))
      | ~ fulladder(X) ),
    inference(skolemisation,[status(esa)],[f49_nnf]) ).

cnf(c49,plain,
    ( connection(outs(X0),outs(h2(X0)))
    | ~ fulladder(X0) ),
    inference(cnf_transformation,[status(esa)],[f49_sk]) ).

cnf(p165,plain,
    connection(outs(f),outs(h2(f))),
    inference(resolution,[status(thm)],[c49,c51]) ).

cnf(p167,plain,
    ( one(outs(h2(f)))
    | ~ one(outs(f)) ),
    inference(resolution,[status(thm)],[p165,c1]) ).

cnf(f55,hypothesis,
    one(outs(f)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outs_1) ).

fof(f55_nnf,plain,
    one(outs(f)),
    inference(nnf_transformation,[status(thm)],[f55]) ).

cnf(c55,plain,
    one(outs(f)),
    inference(cnf_transformation,[status(esa)],[f55_nnf]) ).

cnf(p169,plain,
    one(outs(h2(f))),
    inference(resolution,[status(thm)],[p167,c55]) ).

cnf(p257,plain,
    one(out1(and1(h2(f)))),
    inference(resolution,[status(thm)],[p134,p169]) ).

cnf(p279,plain,
    one(in1(and1(h2(f)))),
    inference(resolution,[status(thm)],[p277,p257]) ).

cnf(p284,plain,
    one(out1(or1(h2(f)))),
    inference(resolution,[status(thm)],[p225,p279]) ).

cnf(p287,plain,
    ( one(in2(or1(h2(f))))
    | one(in1(or1(h2(f))))
    | abnormal(or1(h2(f))) ),
    inference(resolution,[status(thm)],[p202,p284]) ).

cnf(f32,axiom,
    ( connection(in2(X),in2(or1(X)))
    | ~ halfadder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in2_in2or1) ).

fof(f32_nnf,plain,
    ! [X] :
      ( connection(in2(X),in2(or1(X)))
      | ~ halfadder(X) ),
    inference(nnf_transformation,[status(thm)],[f32]) ).

fof(f32_sk,plain,
    ! [X] :
      ( connection(in2(X),in2(or1(X)))
      | ~ halfadder(X) ),
    inference(skolemisation,[status(esa)],[f32_nnf]) ).

cnf(c32,plain,
    ( connection(in2(X0),in2(or1(X0)))
    | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(esa)],[f32_sk]) ).

cnf(p95,plain,
    connection(in2(h2(f)),in2(or1(h2(f)))),
    inference(resolution,[status(thm)],[c32,p69]) ).

cnf(p104,plain,
    ( one(in2(h2(f)))
    | ~ one(in2(or1(h2(f)))) ),
    inference(resolution,[status(thm)],[p95,c3]) ).

cnf(p288,plain,
    ( one(in2(h2(f)))
    | one(in1(or1(h2(f))))
    | abnormal(or1(h2(f))) ),
    inference(resolution,[status(thm)],[p287,p104]) ).

cnf(f31,axiom,
    ( connection(in1(X),in1(or1(X)))
    | ~ halfadder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in1_in1or1) ).

fof(f31_nnf,plain,
    ! [X] :
      ( connection(in1(X),in1(or1(X)))
      | ~ halfadder(X) ),
    inference(nnf_transformation,[status(thm)],[f31]) ).

fof(f31_sk,plain,
    ! [X] :
      ( connection(in1(X),in1(or1(X)))
      | ~ halfadder(X) ),
    inference(skolemisation,[status(esa)],[f31_nnf]) ).

cnf(c31,plain,
    ( connection(in1(X0),in1(or1(X0)))
    | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(esa)],[f31_sk]) ).

cnf(p85,plain,
    connection(in1(h2(f)),in1(or1(h2(f)))),
    inference(resolution,[status(thm)],[c31,p69]) ).

cnf(p90,plain,
    ( zero(in1(or1(h2(f))))
    | ~ zero(in1(h2(f))) ),
    inference(resolution,[status(thm)],[p85,c0]) ).

cnf(f46,axiom,
    ( connection(in1(X),in1(h2(X)))
    | ~ fulladder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_in1_in1h2) ).

fof(f46_nnf,plain,
    ! [X] :
      ( connection(in1(X),in1(h2(X)))
      | ~ fulladder(X) ),
    inference(nnf_transformation,[status(thm)],[f46]) ).

fof(f46_sk,plain,
    ! [X] :
      ( connection(in1(X),in1(h2(X)))
      | ~ fulladder(X) ),
    inference(skolemisation,[status(esa)],[f46_nnf]) ).

cnf(c46,plain,
    ( connection(in1(X0),in1(h2(X0)))
    | ~ fulladder(X0) ),
    inference(cnf_transformation,[status(esa)],[f46_sk]) ).

cnf(p148,plain,
    connection(in1(f),in1(h2(f))),
    inference(resolution,[status(thm)],[c46,c51]) ).

cnf(p149,plain,
    ( zero(in1(h2(f)))
    | ~ zero(in1(f)) ),
    inference(resolution,[status(thm)],[p148,c0]) ).

cnf(f52,hypothesis,
    zero(in1(f)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in1_1) ).

fof(f52_nnf,plain,
    zero(in1(f)),
    inference(nnf_transformation,[status(thm)],[f52]) ).

cnf(c52,plain,
    zero(in1(f)),
    inference(cnf_transformation,[status(esa)],[f52_nnf]) ).

cnf(p151,plain,
    zero(in1(h2(f))),
    inference(resolution,[status(thm)],[p149,c52]) ).

cnf(p248,plain,
    zero(in1(or1(h2(f)))),
    inference(resolution,[status(thm)],[p90,p151]) ).

cnf(p249,plain,
    ~ one(in1(or1(h2(f)))),
    inference(resolution,[status(thm)],[p248,c4]) ).

cnf(p289,plain,
    ( one(in2(h2(f)))
    | abnormal(or1(h2(f))) ),
    inference(resolution,[status(thm)],[p288,p249]) ).

cnf(f61,negated_conjecture,
    ( ~ abnormal(or1(h2(f)))
    | ~ abnormal(or1(f)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_or1h2) ).

fof(f61_nnf,plain,
    ( ~ abnormal(or1(h2(f)))
    | ~ abnormal(or1(f)) ),
    inference(nnf_transformation,[status(thm)],[f61]) ).

fof(f61_sk,plain,
    ( ~ abnormal(or1(h2(f)))
    | ~ abnormal(or1(f)) ),
    inference(skolemisation,[status(esa)],[f61_nnf]) ).

cnf(c61,plain,
    ( ~ abnormal(or1(h2(f)))
    | ~ abnormal(or1(f)) ),
    inference(cnf_transformation,[status(esa)],[f61_sk]) ).

cnf(p265,plain,
    ~ abnormal(or1(h2(f))),
    inference(resolution,[status(thm)],[p261,c61]) ).

cnf(p290,plain,
    one(in2(h2(f))),
    inference(resolution,[status(thm)],[p289,p265]) ).

cnf(f43,axiom,
    ( connection(outs(h1(X)),in2(h2(X)))
    | ~ fulladder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outsh1_in2h2) ).

fof(f43_nnf,plain,
    ! [X] :
      ( connection(outs(h1(X)),in2(h2(X)))
      | ~ fulladder(X) ),
    inference(nnf_transformation,[status(thm)],[f43]) ).

fof(f43_sk,plain,
    ! [X] :
      ( connection(outs(h1(X)),in2(h2(X)))
      | ~ fulladder(X) ),
    inference(skolemisation,[status(esa)],[f43_nnf]) ).

cnf(c43,plain,
    ( connection(outs(h1(X0)),in2(h2(X0)))
    | ~ fulladder(X0) ),
    inference(cnf_transformation,[status(esa)],[f43_sk]) ).

cnf(p188,plain,
    connection(outs(h1(f)),in2(h2(f))),
    inference(resolution,[status(thm)],[c43,c51]) ).

cnf(p192,plain,
    ( one(outs(h1(f)))
    | ~ one(in2(h2(f))) ),
    inference(resolution,[status(thm)],[p188,c3]) ).

cnf(p291,plain,
    one(outs(h1(f))),
    inference(resolution,[status(thm)],[p290,p192]) ).

cnf(p126,plain,
    connection(outs(h1(f)),out1(and1(h1(f)))),
    inference(resolution,[status(thm)],[c35,p64]) ).

cnf(p130,plain,
    ( one(out1(and1(h1(f))))
    | ~ one(outs(h1(f))) ),
    inference(resolution,[status(thm)],[p126,c1]) ).

cnf(p294,plain,
    one(out1(and1(h1(f)))),
    inference(resolution,[status(thm)],[p291,p130]) ).

cnf(f58,negated_conjecture,
    ( ~ abnormal(and1(h1(f)))
    | ~ abnormal(or1(f)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_and1h1) ).

fof(f58_nnf,plain,
    ( ~ abnormal(and1(h1(f)))
    | ~ abnormal(or1(f)) ),
    inference(nnf_transformation,[status(thm)],[f58]) ).

fof(f58_sk,plain,
    ( ~ abnormal(and1(h1(f)))
    | ~ abnormal(or1(f)) ),
    inference(skolemisation,[status(esa)],[f58_nnf]) ).

cnf(c58,plain,
    ( ~ abnormal(and1(h1(f)))
    | ~ abnormal(or1(f)) ),
    inference(cnf_transformation,[status(esa)],[f58_sk]) ).

cnf(p263,plain,
    ~ abnormal(and1(h1(f))),
    inference(resolution,[status(thm)],[p261,c58]) ).

cnf(p65,plain,
    logic_and(and1(h1(f))),
    inference(resolution,[status(thm)],[p64,c27]) ).

cnf(p75,plain,
    ( abnormal(and1(h1(f)))
    | and_ok(and1(h1(f))) ),
    inference(resolution,[status(thm)],[c12,p65]) ).

cnf(p266,plain,
    and_ok(and1(h1(f))),
    inference(resolution,[status(thm)],[p263,p75]) ).

cnf(f10,axiom,
    ( one(in2(K))
    | ~ one(out1(K))
    | ~ and_ok(K) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_1_x1) ).

fof(f10_nnf,plain,
    ! [K] :
      ( one(in2(K))
      | ~ one(out1(K))
      | ~ and_ok(K) ),
    inference(nnf_transformation,[status(thm)],[f10]) ).

fof(f10_sk,plain,
    ! [K] :
      ( one(in2(K))
      | ~ one(out1(K))
      | ~ and_ok(K) ),
    inference(skolemisation,[status(esa)],[f10_nnf]) ).

cnf(c10,plain,
    ( one(in2(X0))
    | ~ one(out1(X0))
    | ~ and_ok(X0) ),
    inference(cnf_transformation,[status(esa)],[f10_sk]) ).

cnf(p273,plain,
    ( one(in2(and1(h1(f))))
    | ~ one(out1(and1(h1(f)))) ),
    inference(resolution,[status(thm)],[p266,c10]) ).

cnf(p296,plain,
    one(in2(and1(h1(f)))),
    inference(resolution,[status(thm)],[p294,p273]) ).

cnf(p303,plain,
    abnormal(not1(h1(f))),
    inference(resolution,[status(thm)],[p301,p296]) ).

cnf(f59,negated_conjecture,
    ( ~ abnormal(not1(h1(f)))
    | ~ abnormal(or1(f)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_not1h1) ).

fof(f59_nnf,plain,
    ( ~ abnormal(not1(h1(f)))
    | ~ abnormal(or1(f)) ),
    inference(nnf_transformation,[status(thm)],[f59]) ).

fof(f59_sk,plain,
    ( ~ abnormal(not1(h1(f)))
    | ~ abnormal(or1(f)) ),
    inference(skolemisation,[status(esa)],[f59_nnf]) ).

cnf(c59,plain,
    ( ~ abnormal(not1(h1(f)))
    | ~ abnormal(or1(f)) ),
    inference(cnf_transformation,[status(esa)],[f59_sk]) ).

cnf(p262,plain,
    ~ abnormal(not1(h1(f))),
    inference(resolution,[status(thm)],[p261,c59]) ).

cnf(p304,plain,
    $false,
    inference(resolution,[status(thm)],[p303,p262]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : HWV007-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36  % Computer : n005.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Wed Sep 23 16:20:34 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.27/1.11  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.27/1.11  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------