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hopCoP---0.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : COL091-1 : TPTP v9.0.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Jul 24 10:52:22 AM UTC 2025

% Result   : Unsatisfiable 0.18s 0.38s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named k1_contractD_c1)

% Comments : 
%------------------------------------------------------------------------------
cnf(32,plain,
    ( r != comb_app(combK,X0)
    | ~ member(pair(p,X0),contract) ),
    inference(cnf,[status(esa)],[k1_contractD_c1]) ).

cnf(l0,plain,
    ( r != comb_app(combK,ap_contractE_sk3q(combK,p,r))
    | ~ member(pair(p,ap_contractE_sk3q(combK,p,r)),contract) ),
    inference(instantiation,[status(thm)],[32]) ).

cnf(28,plain,
    ( ~ ap_contractE_c4(X0,X1,X2)
    | X2 = comb_app(X0,ap_contractE_sk3q(X0,X1,X2)) ),
    inference(cnf,[status(esa)],[ap_contractE15]) ).

cnf(l1,plain,
    ( ~ ap_contractE_c4(combK,p,r)
    | r = comb_app(combK,ap_contractE_sk3q(combK,p,r)) ),
    inference(instantiation,[status(thm)],[28]) ).

cnf(26,plain,
    ( ~ ap_contractE_c4(X0,X1,X2)
    | member(pair(X1,ap_contractE_sk3q(X0,X1,X2)),contract) ),
    inference(cnf,[status(esa)],[ap_contractE13]) ).

cnf(l3,plain,
    ( ~ ap_contractE_c4(combK,p,r)
    | member(pair(p,ap_contractE_sk3q(combK,p,r)),contract) ),
    inference(instantiation,[status(thm)],[26]) ).

cnf(14,plain,
    ( ~ member(pair(comb_app(X0,X1),X2),contract)
    | ap_contractE_c2(X0,X1,X2)
    | ap_contractE_c3(X0,X1,X2)
    | ap_contractE_c4(X0,X1,X2)
    | ap_contractE_c1(X0,X1,X2) ),
    inference(cnf,[status(esa)],[ap_contractE1]) ).

cnf(l5,plain,
    ( ~ member(pair(comb_app(combK,p),r),contract)
    | ap_contractE_c2(combK,p,r)
    | ap_contractE_c3(combK,p,r)
    | ap_contractE_c4(combK,p,r)
    | ap_contractE_c1(combK,p,r) ),
    inference(instantiation,[status(thm)],[14]) ).

cnf(31,plain,
    member(pair(comb_app(combK,p),r),contract),
    inference(cnf,[status(esa)],[k1_contractD_h1]) ).

cnf(l9,plain,
    member(pair(comb_app(combK,p),r),contract),
    inference(instantiation,[status(thm)],[31]) ).

cnf(l2,plain,
    ( ~ member(pair(comb_app(combK,p),r),contract)
    | ap_contractE_c2(combK,p,r)
    | ap_contractE_c3(combK,p,r)
    | ap_contractE_c4(combK,p,r)
    | ap_contractE_c1(combK,p,r) ),
    inference(instantiation,[status(thm)],[14]) ).

cnf(l4,plain,
    member(pair(comb_app(combK,p),r),contract),
    inference(instantiation,[status(thm)],[31]) ).

cnf(23,plain,
    ( ~ ap_contractE_c3(X0,X1,X2)
    | member(pair(X0,ap_contractE_sk2q(X0,X1,X2)),contract) ),
    inference(cnf,[status(esa)],[ap_contractE10]) ).

cnf(l11,plain,
    ( ~ ap_contractE_c3(combK,p,r)
    | member(pair(combK,ap_contractE_sk2q(combK,p,r)),contract) ),
    inference(instantiation,[status(thm)],[23]) ).

cnf(l40,plain,
    ( ~ ap_contractE_c3(combK,p,r)
    | member(pair(combK,ap_contractE_sk2q(combK,p,r)),contract) ),
    inference(instantiation,[status(thm)],[23]) ).

cnf(29,plain,
    ~ member(pair(combK,X0),contract),
    inference(cnf,[status(esa)],[k_contractE]) ).

cnf(l43,plain,
    ~ member(pair(combK,ap_contractE_sk2q(combK,p,r)),contract),
    inference(instantiation,[status(thm)],[29]) ).

cnf(17,plain,
    ( ~ ap_contractE_c1(X0,X1,X2)
    | X0 = comb_app(combK,X2) ),
    inference(cnf,[status(esa)],[ap_contractE4]) ).

cnf(l21,plain,
    ( ~ ap_contractE_c1(combK,p,r)
    | combK = comb_app(combK,r) ),
    inference(instantiation,[status(thm)],[17]) ).

cnf(22,plain,
    ( ~ ap_contractE_c2(X0,X1,X2)
    | X0 = comb_app(comb_app(combS,ap_contractE_sk1p(X0,X1,X2)),ap_contractE_sk1q(X0,X1,X2)) ),
    inference(cnf,[status(esa)],[ap_contractE9]) ).

cnf(l8,plain,
    ( ~ ap_contractE_c2(combK,p,r)
    | combK = comb_app(comb_app(combS,ap_contractE_sk1p(combK,p,r)),ap_contractE_sk1q(combK,p,r)) ),
    inference(instantiation,[status(thm)],[22]) ).

cnf(l19,plain,
    ~ member(pair(combK,ap_contractE_sk2q(combK,p,r)),contract),
    inference(instantiation,[status(thm)],[29]) ).

cnf(1,plain,
    combK != comb_app(X0,X1),
    inference(cnf,[status(esa)],[k_app]) ).

cnf(l22,plain,
    combK != comb_app(combK,r),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l42,plain,
    ( ~ ap_contractE_c1(combK,p,r)
    | combK = comb_app(combK,r) ),
    inference(instantiation,[status(thm)],[17]) ).

cnf(l27,plain,
    ( ~ ap_contractE_c2(combK,p,r)
    | combK = comb_app(comb_app(combS,ap_contractE_sk1p(combK,p,r)),ap_contractE_sk1q(combK,p,r)) ),
    inference(instantiation,[status(thm)],[22]) ).

cnf(l35,plain,
    combK != comb_app(comb_app(combS,ap_contractE_sk1p(combK,p,r)),ap_contractE_sk1q(combK,p,r)),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l25,plain,
    combK != comb_app(comb_app(combS,ap_contractE_sk1p(combK,p,r)),ap_contractE_sk1q(combK,p,r)),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l46,plain,
    combK != comb_app(combK,r),
    inference(instantiation,[status(thm)],[1]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l3,l5,l9,l2,l4,l11,l40,l43,l21,l8,l19,l22,l42,l27,l35,l25,l46]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COL091-1 : TPTP v9.0.0. Released v2.7.0.
% 0.03/0.13  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Jul 20 05:57:19 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % launching worker at depth: 6
% 0.13/0.34  % launching worker at depth: 4
% 0.13/0.34  % launching worker at depth: 1
% 0.13/0.34  % launching worker at depth: 3
% 0.13/0.34  % launching worker at depth: 2
% 0.13/0.34  % launching worker at depth: 5
% 0.13/0.34  % launching worker at depth: 7
% 0.13/0.34  % launching worker at depth: 8
% 0.13/0.34  % launching worker at depth: 9
% 0.13/0.34  % launching worker at depth: 10
% 0.13/0.36  % launching worker at depth: 11
% 0.18/0.38  % SZS status Theorem for theBenchmark
% 0.18/0.38  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------