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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : COL092-2 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n002.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 01:02:50 PM UTC 2026

% Result   : Unsatisfiable 106.93s 16.44s
% Output   : CNFRefutation 106.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   88 (  16 unt;   0 def)
%            Number of atoms       :  202 (  79 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  167 (  53   ~; 114   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-3 aty)
%            Number of variables   :  106 (   0 sgn 106   !;   0   ?;  48   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f158,axiom,
    ! [X0,X1] : combK != comb_app(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_app) ).

fof(f161,axiom,
    ! [X2,X3,X0,X1] :
      ( X1 = X3
      | comb_app(X0,X1) != comb_app(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',app_app2) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( member(X1,comb)
      | ~ member(comb_app(X0,X1),comb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_E2) ).

fof(f193,axiom,
    ! [X0] :
      ( member(pair(X0,X0),parcontract)
      | ~ member(X0,comb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',parcontract_intros1) ).

fof(f198,axiom,
    ! [X0] :
      ( X0 = combK
      | ~ member(pair(combK,X0),parcontract) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_parcontractE2) ).

fof(f199,plain,
    ! [X0] :
      ( combK = X0
      | ~ member(pair(combK,X0),parcontract) ),
    inference(reorient_equations,[],[f198]) ).

fof(f203,axiom,
    ! [X2,X0,X1] :
      ( ap_parcontractE_c4(X0,X1,X2)
      | ap_parcontractE_c3(X0,X1,X2)
      | ap_parcontractE_c2(X0,X1,X2)
      | ap_parcontractE_c1(X0,X1,X2)
      | ~ member(pair(comb_app(X0,X1),X2),parcontract) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE1) ).

fof(f204,axiom,
    ! [X2,X0,X1] :
      ( member(comb_app(X0,X1),comb)
      | ~ ap_parcontractE_c1(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE2) ).

fof(f205,axiom,
    ! [X2,X0,X1] :
      ( X2 = comb_app(X0,X1)
      | ~ ap_parcontractE_c1(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE3) ).

fof(f206,plain,
    ! [X2,X0,X1] :
      ( comb_app(X0,X1) = X2
      | ~ ap_parcontractE_c1(X0,X1,X2) ),
    inference(reorient_equations,[],[f205]) ).

fof(f207,axiom,
    ! [X2,X0,X1] :
      ( member(X2,comb)
      | ~ ap_parcontractE_c2(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE4) ).

fof(f208,axiom,
    ! [X2,X0,X1] :
      ( member(X1,comb)
      | ~ ap_parcontractE_c2(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE5) ).

fof(f209,axiom,
    ! [X2,X0,X1] :
      ( X0 = comb_app(combK,X2)
      | ~ ap_parcontractE_c2(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE6) ).

fof(f210,plain,
    ! [X2,X0,X1] :
      ( comb_app(combK,X2) = X0
      | ~ ap_parcontractE_c2(X0,X1,X2) ),
    inference(reorient_equations,[],[f209]) ).

fof(f213,axiom,
    ! [X2,X0,X1] :
      ( member(X1,comb)
      | ~ ap_parcontractE_c3(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE9) ).

fof(f216,axiom,
    ! [X2,X0,X1] :
      ( X0 = comb_app(comb_app(combS,ap_parcontractE_sk1p(X0,X1,X2)),ap_parcontractE_sk1q(X0,X1,X2))
      | ~ ap_parcontractE_c3(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE11) ).

fof(f217,plain,
    ! [X2,X0,X1] :
      ( comb_app(comb_app(combS,ap_parcontractE_sk1p(X0,X1,X2)),ap_parcontractE_sk1q(X0,X1,X2)) = X0
      | ~ ap_parcontractE_c3(X0,X1,X2) ),
    inference(reorient_equations,[],[f216]) ).

fof(f218,axiom,
    ! [X2,X0,X1] :
      ( member(pair(X0,ap_parcontractE_sk2q(X0,X1,X2)),parcontract)
      | ~ ap_parcontractE_c4(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE12) ).

fof(f219,axiom,
    ! [X2,X0,X1] :
      ( member(pair(X1,ap_parcontractE_sk2s(X0,X1,X2)),parcontract)
      | ~ ap_parcontractE_c4(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE13) ).

fof(f220,axiom,
    ! [X2,X0,X1] :
      ( X2 = comb_app(ap_parcontractE_sk2q(X0,X1,X2),ap_parcontractE_sk2s(X0,X1,X2))
      | ~ ap_parcontractE_c4(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE14) ).

fof(f221,plain,
    ! [X2,X0,X1] :
      ( comb_app(ap_parcontractE_sk2q(X0,X1,X2),ap_parcontractE_sk2s(X0,X1,X2)) = X2
      | ~ ap_parcontractE_c4(X0,X1,X2) ),
    inference(reorient_equations,[],[f220]) ).

fof(f222,axiom,
    member(pair(comb_app(combK,p),r),parcontract),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k1_parcontractD_h1) ).

fof(f223,negated_conjecture,
    ! [X0] :
      ( ~ member(pair(p,X0),parcontract)
      | r != comb_app(combK,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k1_parcontractD_c1) ).

fof(f224,plain,
    ! [X0] :
      ( ~ member(pair(p,X0),parcontract)
      | comb_app(combK,X0) != r ),
    inference(reorient_equations,[],[f223]) ).

tcf(c_382,plain,
    ! [X0: $i,X1: $i] : comb_app(X0,X1) != combK,
    inference(cnf_transformation,[],[f158]) ).

tcf(c_385,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X3 )
      | ( comb_app(X0,X1) != comb_app(X2,X3) ) ),
    inference(cnf_transformation,[],[f161]) ).

tcf(c_387,plain,
    ! [X0: $i,X1: $i] :
      ( member(X1,comb)
      | ~ member(comb_app(X0,X1),comb) ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_411,plain,
    ! [X0: $i] :
      ( member(pair(X0,X0),parcontract)
      | ~ member(X0,comb) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_416,plain,
    ! [X0: $i] :
      ( ( X0 = combK )
      | ~ member(pair(combK,X0),parcontract) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_419,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ap_parcontractE_c4(X0,X1,X2)
      | ap_parcontractE_c3(X0,X1,X2)
      | ap_parcontractE_c2(X0,X1,X2)
      | ap_parcontractE_c1(X0,X1,X2)
      | ~ member(pair(comb_app(X0,X1),X2),parcontract) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_420,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(comb_app(X0,X1),comb)
      | ~ ap_parcontractE_c1(X0,X1,X2) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_421,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( comb_app(X0,X1) = X2 )
      | ~ ap_parcontractE_c1(X0,X1,X2) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_422,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X2,comb)
      | ~ ap_parcontractE_c2(X0,X1,X2) ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_423,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X1,comb)
      | ~ ap_parcontractE_c2(X0,X1,X2) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_424,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( comb_app(combK,X2) = X0 )
      | ~ ap_parcontractE_c2(X0,X1,X2) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_427,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X1,comb)
      | ~ ap_parcontractE_c3(X0,X1,X2) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_429,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( comb_app(comb_app(combS,ap_parcontractE_sk1p(X0,X1,X2)),ap_parcontractE_sk1q(X0,X1,X2)) = X0 )
      | ~ ap_parcontractE_c3(X0,X1,X2) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_430,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(pair(X0,ap_parcontractE_sk2q(X0,X1,X2)),parcontract)
      | ~ ap_parcontractE_c4(X0,X1,X2) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_431,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(pair(X1,ap_parcontractE_sk2s(X0,X1,X2)),parcontract)
      | ~ ap_parcontractE_c4(X0,X1,X2) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_432,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( comb_app(ap_parcontractE_sk2q(X0,X1,X2),ap_parcontractE_sk2s(X0,X1,X2)) = X2 )
      | ~ ap_parcontractE_c4(X0,X1,X2) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_433,plain,
    member(pair(comb_app(combK,p),r),parcontract),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_434,negated_conjecture,
    ! [X0: $i] :
      ( ~ member(pair(p,X0),parcontract)
      | ( comb_app(combK,X0) != r ) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_7796,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap_parcontractE_sk2q(combK,X0,X1) = combK )
      | ~ ap_parcontractE_c4(combK,X0,X1) ),
    inference(superposition,[status(thm)],[c_430,c_416]) ).

tcf(c_7811,plain,
    ( ap_parcontractE_c4(combK,p,r)
    | ap_parcontractE_c3(combK,p,r)
    | ap_parcontractE_c2(combK,p,r)
    | ap_parcontractE_c1(combK,p,r) ),
    inference(superposition,[status(thm)],[c_433,c_419]) ).

tcf(c_7817,plain,
    ( ap_parcontractE_c4(combK,p,r)
    | ap_parcontractE_c3(combK,p,r)
    | ap_parcontractE_c2(combK,p,r)
    | ( comb_app(combK,p) = r ) ),
    inference(superposition,[status(thm)],[c_7811,c_421]) ).

tcf(c_7818,plain,
    ( ap_parcontractE_c4(combK,p,r)
    | ap_parcontractE_c3(combK,p,r)
    | ap_parcontractE_c2(combK,p,r)
    | member(comb_app(combK,p),comb) ),
    inference(superposition,[status(thm)],[c_7811,c_420]) ).

tcf(c_7819,plain,
    ( member(p,comb)
    | ap_parcontractE_c4(combK,p,r)
    | ap_parcontractE_c3(combK,p,r)
    | ap_parcontractE_c2(combK,p,r) ),
    inference(superposition,[status(thm)],[c_7818,c_387]) ).

tcf(c_7821,plain,
    ( member(p,comb)
    | ap_parcontractE_c3(combK,p,r)
    | ap_parcontractE_c2(combK,p,r)
    | ( comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r)) = r ) ),
    inference(superposition,[status(thm)],[c_7819,c_432]) ).

tcf(c_7822,plain,
    ( member(p,comb)
    | ap_parcontractE_c3(combK,p,r)
    | ap_parcontractE_c2(combK,p,r)
    | ( ap_parcontractE_sk2q(combK,p,r) = combK ) ),
    inference(superposition,[status(thm)],[c_7819,c_7796]) ).

tcf(c_7823,plain,
    ( ap_parcontractE_c3(combK,p,r)
    | ap_parcontractE_c2(combK,p,r)
    | ( comb_app(combK,p) = r )
    | ( comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r)) = r ) ),
    inference(superposition,[status(thm)],[c_7817,c_432]) ).

tcf(c_7824,plain,
    ( ap_parcontractE_c3(combK,p,r)
    | ap_parcontractE_c2(combK,p,r)
    | ( comb_app(combK,p) = r )
    | ( ap_parcontractE_sk2q(combK,p,r) = combK ) ),
    inference(superposition,[status(thm)],[c_7817,c_7796]) ).

tcf(c_7826,plain,
    ( member(p,comb)
    | ap_parcontractE_c3(combK,p,r)
    | ( ap_parcontractE_sk2q(combK,p,r) = combK ) ),
    inference(superposition,[status(thm)],[c_7822,c_423]) ).

tcf(c_7830,plain,
    ( member(p,comb)
    | ( ap_parcontractE_sk2q(combK,p,r) = combK ) ),
    inference(superposition,[status(thm)],[c_7826,c_427]) ).

tcf(c_7833,plain,
    ( ap_parcontractE_c3(combK,p,r)
    | ( comb_app(combK,r) = combK )
    | ( comb_app(combK,p) = r )
    | ( ap_parcontractE_sk2q(combK,p,r) = combK ) ),
    inference(superposition,[status(thm)],[c_7824,c_424]) ).

tcf(c_7850,plain,
    ( member(p,comb)
    | ap_parcontractE_c3(combK,p,r)
    | ( comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r)) = r ) ),
    inference(superposition,[status(thm)],[c_7821,c_423]) ).

tcf(c_7858,plain,
    ( member(p,comb)
    | ( comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r)) = r ) ),
    inference(superposition,[status(thm)],[c_7850,c_427]) ).

tcf(c_7864,plain,
    ( ( comb_app(combK,r) = combK )
    | ( comb_app(combK,p) = r )
    | ( ap_parcontractE_sk2q(combK,p,r) = combK )
    | ( comb_app(comb_app(combS,ap_parcontractE_sk1p(combK,p,r)),ap_parcontractE_sk1q(combK,p,r)) = combK ) ),
    inference(superposition,[status(thm)],[c_7833,c_429]) ).

tcf(c_7879,plain,
    ( ap_parcontractE_c3(combK,p,r)
    | ( comb_app(combK,r) = combK )
    | ( comb_app(combK,p) = r )
    | ( comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r)) = r ) ),
    inference(superposition,[status(thm)],[c_7823,c_424]) ).

tcf(c_7899,plain,
    ( ( comb_app(combK,r) = combK )
    | ( comb_app(combK,p) = r )
    | ( comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r)) = r )
    | ( comb_app(comb_app(combS,ap_parcontractE_sk1p(combK,p,r)),ap_parcontractE_sk1q(combK,p,r)) = combK ) ),
    inference(superposition,[status(thm)],[c_7879,c_429]) ).

tcf(c_7935,plain,
    ( ( comb_app(combK,r) = combK )
    | ( comb_app(combK,p) = r )
    | ( ap_parcontractE_sk2q(combK,p,r) = combK ) ),
    inference(superposition,[status(thm)],[c_7864,c_382]) ).

tcf(c_8042,plain,
    ( ( comb_app(combK,r) = combK )
    | ( comb_app(combK,p) = r )
    | ( comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r)) = r ) ),
    inference(superposition,[status(thm)],[c_7899,c_382]) ).

tcf(c_8054,plain,
    ( ( comb_app(combK,r) = combK )
    | ( comb_app(combK,p) = r )
    | ( comb_app(combK,ap_parcontractE_sk2s(combK,p,r)) = r ) ),
    inference(superposition,[status(thm)],[c_7935,c_8042]) ).

tcf(c_8128,plain,
    ( ( comb_app(combK,r) = combK )
    | ( comb_app(combK,p) = r )
    | ~ member(pair(p,ap_parcontractE_sk2s(combK,p,r)),parcontract) ),
    inference(superposition,[status(thm)],[c_8054,c_434]) ).

tcf(c_8199,plain,
    ( ( comb_app(combK,r) = combK )
    | ( comb_app(combK,p) = r )
    | ~ ap_parcontractE_c4(combK,p,r) ),
    inference(superposition,[status(thm)],[c_431,c_8128]) ).

tcf(c_8200,plain,
    ( ap_parcontractE_c3(combK,p,r)
    | ap_parcontractE_c2(combK,p,r)
    | ( comb_app(combK,r) = combK )
    | ( comb_app(combK,p) = r ) ),
    inference(superposition,[status(thm)],[c_7817,c_8199]) ).

tcf(c_8202,plain,
    ( ap_parcontractE_c3(combK,p,r)
    | ( comb_app(combK,r) = combK )
    | ( comb_app(combK,p) = r ) ),
    inference(superposition,[status(thm)],[c_8200,c_424]) ).

tcf(c_8217,plain,
    ( ( comb_app(combK,r) = combK )
    | ( comb_app(combK,p) = r )
    | ( comb_app(comb_app(combS,ap_parcontractE_sk1p(combK,p,r)),ap_parcontractE_sk1q(combK,p,r)) = combK ) ),
    inference(superposition,[status(thm)],[c_8202,c_429]) ).

tcf(c_8229,plain,
    ( ( comb_app(combK,r) = combK )
    | ( comb_app(combK,p) = r ) ),
    inference(superposition,[status(thm)],[c_8217,c_382]) ).

tcf(c_8253,plain,
    comb_app(combK,p) = r,
    inference(superposition,[status(thm)],[c_8229,c_382]) ).

tcf(c_8284,plain,
    ( member(p,comb)
    | ~ member(r,comb) ),
    inference(superposition,[status(thm)],[c_8253,c_387]) ).

tcf(c_8288,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = p )
      | ( comb_app(X0,X1) != r ) ),
    inference(superposition,[status(thm)],[c_8253,c_385]) ).

tcf(c_8293,plain,
    ~ member(pair(p,p),parcontract),
    inference(superposition,[status(thm)],[c_8253,c_434]) ).

tcf(c_8371,plain,
    ~ member(p,comb),
    inference(superposition,[status(thm)],[c_411,c_8293]) ).

tcf(c_8372,plain,
    comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r)) = r,
    inference(superposition,[status(thm)],[c_7858,c_8371]) ).

tcf(c_8373,plain,
    ap_parcontractE_sk2q(combK,p,r) = combK,
    inference(superposition,[status(thm)],[c_7830,c_8371]) ).

tcf(c_8386,plain,
    comb_app(combK,ap_parcontractE_sk2s(combK,p,r)) = r,
    inference(superposition,[status(thm)],[c_8373,c_8372]) ).

tcf(c_8387,plain,
    ap_parcontractE_sk2s(combK,p,r) = p,
    inference(superposition,[status(thm)],[c_8372,c_8288]) ).

tcf(c_8420,plain,
    ( member(pair(p,p),parcontract)
    | ~ ap_parcontractE_c4(combK,p,r) ),
    inference(superposition,[status(thm)],[c_8387,c_431]) ).

tcf(c_8441,plain,
    ~ member(pair(p,ap_parcontractE_sk2s(combK,p,r)),parcontract),
    inference(superposition,[status(thm)],[c_8386,c_434]) ).

tcf(c_8515,plain,
    ~ ap_parcontractE_c4(combK,p,r),
    inference(superposition,[status(thm)],[c_431,c_8441]) ).

tcf(c_8517,plain,
    ( member(p,comb)
    | ap_parcontractE_c3(combK,p,r)
    | ap_parcontractE_c2(combK,p,r) ),
    inference(superposition,[status(thm)],[c_7819,c_8515]) ).

tcf(c_8518,plain,
    ( ap_parcontractE_c2(combK,p,r)
    | ap_parcontractE_c3(combK,p,r) ),
    inference(global_subsumption_just,[status(thm)],[c_8517,c_7819,c_8293,c_8371,c_8420]) ).

tcf(c_8519,plain,
    ( ap_parcontractE_c3(combK,p,r)
    | ap_parcontractE_c2(combK,p,r) ),
    inference(renaming,[status(thm)],[c_8518]) ).

tcf(c_8521,plain,
    ( member(p,comb)
    | ap_parcontractE_c3(combK,p,r) ),
    inference(superposition,[status(thm)],[c_8519,c_423]) ).

tcf(c_8522,plain,
    ( member(r,comb)
    | ap_parcontractE_c3(combK,p,r) ),
    inference(superposition,[status(thm)],[c_8519,c_422]) ).

tcf(c_8523,plain,
    ap_parcontractE_c3(combK,p,r),
    inference(global_subsumption_just,[status(thm)],[c_8521,c_8284,c_8371,c_8522]) ).

tcf(c_8527,plain,
    member(p,comb),
    inference(superposition,[status(thm)],[c_8523,c_427]) ).

tcf(c_8528,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_8527,c_8371]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : COL092-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n002.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Fri Sep 25 07:35:49 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41  Running first-order theorem proving
% 0.09/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.42  
% 0.09/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42  
% 0.09/0.42  % Detected problem language: tptp
% 0.09/0.43  % Proving...
% 106.93/16.44  % SZS status Started for theBenchmark.p
% 106.93/16.44  % SZS status Unsatisfiable for theBenchmark.p
% 106.93/16.44  
% 106.93/16.44  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 106.93/16.44  
% 106.93/16.44  % ------  iProver source info
% 106.93/16.44  
% 106.93/16.44  % git: date: 2026-07-19 20:42:38 +0200
% 106.93/16.44  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 106.93/16.44  % git: non_committed_changes: false
% 106.93/16.44  
% 106.93/16.44  % ------ Parsing...% successful
% 106.93/16.44  
% 106.93/16.44  
% 106.93/16.44  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 106.93/16.44  
% 106.93/16.44  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 11 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e % 
% 106.93/16.44  
% 106.93/16.44  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 106.93/16.44  
% 106.93/16.44  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 106.93/16.44  % ------ Proving...
% 106.93/16.44  % ------ Problem Properties 
% 106.93/16.44  
% 106.93/16.44  % 
% 106.93/16.44  % clauses                               167
% 106.93/16.44  % conjectures                           1
% 106.93/16.44  % EPR                                   17
% 106.93/16.44  % Horn                                  141
% 106.93/16.44  % unary                                 19
% 106.93/16.44  % binary                                105
% 106.93/16.44  % lits                                  366
% 106.93/16.44  % lits eq                               63
% 106.93/16.44  % fd_pure                               0
% 106.93/16.44  % fd_pseudo                             0
% 106.93/16.44  % fd_cond                               2
% 106.93/16.44  % fd_pseudo_cond                        21
% 106.93/16.44  % AC symbols                            0
% 106.93/16.44  
% 106.93/16.44  % ------ Input Options Time Limit: Unbounded
% 106.93/16.44  
% 106.93/16.44  
% 106.93/16.44  % ------ 
% 106.93/16.44  % Current options:
% 106.93/16.44  % ------ 
% 106.93/16.44  
% 106.93/16.44  
% 106.93/16.44  % 
% 106.93/16.44  
% 106.93/16.44  % ------ Proving...
% 106.93/16.44  % 
% 106.93/16.44  
% 106.93/16.44  % ------ Proving...
% 106.93/16.44  % 
% 106.93/16.44  
% 106.93/16.44  % ------ Proving...
% 106.93/16.44  % 
% 106.93/16.44  
% 106.93/16.44  % ------ Proving...
% 106.93/16.44  % 
% 106.93/16.44  
% 106.93/16.44  % SZS status Unsatisfiable for theBenchmark.p
% 106.93/16.44  
% 106.93/16.44  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 106.93/16.45  
% 106.93/16.45  
%------------------------------------------------------------------------------