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hopCoP---0.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : COL099-1 : 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 : n032.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 10:52:23 AM UTC 2025

% Result   : Unsatisfiable 0.13s 0.32s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named diamond_trancl_1c2)

% Comments : 
%------------------------------------------------------------------------------
cnf(14,plain,
    ( ~ member(pair(ya,X0),trancl(r))
    | ~ member(pair(yp,X0),trancl(r)) ),
    inference(cnf,[status(esa)],[diamond_trancl_1c2]) ).

cnf(l0,plain,
    ( ~ member(pair(ya,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r))
    | ~ member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r)) ),
    inference(instantiation,[status(thm)],[14]) ).

cnf(9,plain,
    ( ~ member(pair(X0,X1),trancl(X2))
    | ~ member(pair(X0,X3),X2)
    | ~ diamond(X2)
    | member(pair(X3,diamond_strip_lemmaD_sk1(X0,X1,X3,X2)),trancl(X2)) ),
    inference(cnf,[status(esa)],[diamond_strip_lemmaD1]) ).

cnf(l1,plain,
    ( ~ member(pair(y,yp),trancl(r))
    | ~ member(pair(y,ya),r)
    | ~ diamond(r)
    | member(pair(ya,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r)) ),
    inference(instantiation,[status(thm)],[9]) ).

cnf(6,plain,
    ( ~ member(pair(X0,X1),X2)
    | member(pair(X0,X1),trancl(X2)) ),
    inference(cnf,[status(esa)],[r_into_trancl]) ).

cnf(l19,plain,
    ( ~ member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,ya,r)),r)
    | member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r)) ),
    inference(instantiation,[status(thm)],[6]) ).

cnf(12,plain,
    member(pair(y,ya),r),
    inference(cnf,[status(esa)],[diamond_trancl_1h2]) ).

cnf(l13,plain,
    member(pair(y,ya),r),
    inference(instantiation,[status(thm)],[12]) ).

cnf(10,plain,
    ( ~ member(pair(X0,X1),trancl(X2))
    | ~ member(pair(X0,X3),X2)
    | ~ diamond(X2)
    | member(pair(X1,diamond_strip_lemmaD_sk1(X0,X1,X3,X2)),X2) ),
    inference(cnf,[status(esa)],[diamond_strip_lemmaD2]) ).

cnf(l21,plain,
    ( ~ member(pair(y,yp),trancl(r))
    | ~ member(pair(y,ya),r)
    | ~ diamond(r)
    | member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,ya,r)),r) ),
    inference(instantiation,[status(thm)],[10]) ).

cnf(11,plain,
    diamond(r),
    inference(cnf,[status(esa)],[diamond_trancl_1h1]) ).

cnf(l31,plain,
    diamond(r),
    inference(instantiation,[status(thm)],[11]) ).

cnf(l30,plain,
    member(pair(y,ya),r),
    inference(instantiation,[status(thm)],[12]) ).

cnf(13,plain,
    member(pair(y,yp),trancl(r)),
    inference(cnf,[status(esa)],[diamond_trancl_1c1]) ).

cnf(l22,plain,
    member(pair(y,yp),trancl(r)),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l2,plain,
    member(pair(y,yp),trancl(r)),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l3,plain,
    diamond(r),
    inference(instantiation,[status(thm)],[11]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l19,l13,l21,l31,l30,l22,l2,l3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : COL099-1 : TPTP v9.0.0. Released v2.7.0.
% 0.02/0.09  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Sun Jul 20 05:59:34 EDT 2025
% 0.09/0.28  % CPUTime  : 
% 0.09/0.29  % launching worker at depth: 4
% 0.09/0.29  % launching worker at depth: 7
% 0.09/0.29  % launching worker at depth: 1
% 0.09/0.29  % launching worker at depth: 2
% 0.09/0.29  % launching worker at depth: 6
% 0.09/0.29  % launching worker at depth: 3
% 0.09/0.29  % launching worker at depth: 5
% 0.09/0.29  % launching worker at depth: 8
% 0.09/0.29  % launching worker at depth: 9
% 0.09/0.29  % launching worker at depth: 10
% 0.13/0.32  % SZS status Theorem for theBenchmark
% 0.13/0.32  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------