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hopCoP---0.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : PLA009-1 : TPTP v9.0.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n024.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 : Fri Jul 25 12:46:18 PM UTC 2025

% Result   : Unsatisfiable 0.18s 0.40s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named prove_AB_D)

% Comments : 
%------------------------------------------------------------------------------
cnf(30,plain,
    ~ holds(and(on(a,b),clear(d)),X0),
    inference(cnf,[status(esa)],[prove_AB_D]) ).

cnf(l0,plain,
    ~ holds(and(on(a,b),clear(d)),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),
    inference(instantiation,[status(thm)],[30]) ).

cnf(0,plain,
    ( ~ holds(X0,X1)
    | ~ holds(X2,X1)
    | holds(and(X0,X2),X1) ),
    inference(cnf,[status(esa)],[and_definition]) ).

cnf(l1,plain,
    ( ~ holds(on(a,b),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))
    | ~ holds(clear(d),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))
    | holds(and(on(a,b),clear(d)),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(9,plain,
    ( ~ holds(clear(X0),X1)
    | ~ differ(X0,X2)
    | holds(clear(X0),do(putdown(X3,X2),X1)) ),
    inference(cnf,[status(esa)],[putdown_5]) ).

cnf(l2,plain,
    ( ~ holds(clear(d),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))
    | ~ differ(d,b)
    | holds(clear(d),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))) ),
    inference(instantiation,[status(thm)],[9]) ).

cnf(6,plain,
    ( ~ holds(clear(X0),X1)
    | ~ holds(holding(X2),X1)
    | holds(on(X2,X0),do(putdown(X2,X0),X1)) ),
    inference(cnf,[status(esa)],[putdown_2]) ).

cnf(l3,plain,
    ( ~ holds(clear(b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))
    | ~ holds(holding(a),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))
    | holds(on(a,b),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))) ),
    inference(instantiation,[status(thm)],[6]) ).

cnf(1,plain,
    ( ~ holds(empty,X0)
    | ~ holds(clear(X1),X0)
    | ~ differ(X1,table)
    | holds(holding(X1),do(pickup(X1),X0)) ),
    inference(cnf,[status(esa)],[pickup_1]) ).

cnf(l38,plain,
    ( ~ holds(empty,do(putdown(c,table),do(pickup(c),s0)))
    | ~ holds(clear(a),do(putdown(c,table),do(pickup(c),s0)))
    | ~ differ(a,table)
    | holds(holding(a),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))) ),
    inference(instantiation,[status(thm)],[1]) ).

cnf(5,plain,
    ( ~ holds(clear(X0),X1)
    | ~ holds(holding(X2),X1)
    | holds(empty,do(putdown(X2,X0),X1)) ),
    inference(cnf,[status(esa)],[putdown_1]) ).

cnf(l39,plain,
    ( ~ holds(clear(table),do(pickup(c),s0))
    | ~ holds(holding(c),do(pickup(c),s0))
    | holds(empty,do(putdown(c,table),do(pickup(c),s0))) ),
    inference(instantiation,[status(thm)],[5]) ).

cnf(14,plain,
    differ(a,table),
    inference(cnf,[status(esa)],[differ_a_table]) ).

cnf(l40,plain,
    differ(a,table),
    inference(instantiation,[status(thm)],[14]) ).

cnf(4,plain,
    ( ~ holds(clear(X0),X1)
    | ~ differ(X0,X2)
    | holds(clear(X0),do(pickup(X2),X1)) ),
    inference(cnf,[status(esa)],[pickup_4]) ).

cnf(l6,plain,
    ( ~ holds(clear(d),do(putdown(c,table),do(pickup(c),s0)))
    | ~ differ(d,a)
    | holds(clear(d),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))) ),
    inference(instantiation,[status(thm)],[4]) ).

cnf(29,plain,
    holds(clear(table),X0),
    inference(cnf,[status(esa)],[clear_table]) ).

cnf(l44,plain,
    holds(clear(table),do(pickup(c),s0)),
    inference(instantiation,[status(thm)],[29]) ).

cnf(l41,plain,
    ( ~ holds(clear(a),do(pickup(c),s0))
    | ~ differ(a,table)
    | holds(clear(a),do(putdown(c,table),do(pickup(c),s0))) ),
    inference(instantiation,[status(thm)],[9]) ).

cnf(l43,plain,
    differ(a,table),
    inference(instantiation,[status(thm)],[14]) ).

cnf(l18,plain,
    ( ~ holds(clear(d),do(pickup(c),s0))
    | ~ differ(d,table)
    | holds(clear(d),do(putdown(c,table),do(pickup(c),s0))) ),
    inference(instantiation,[status(thm)],[9]) ).

cnf(10,plain,
    ( ~ differ(X0,X1)
    | differ(X1,X0) ),
    inference(cnf,[status(esa)],[symmetry_of_differ]) ).

cnf(l10,plain,
    ( ~ differ(a,d)
    | differ(d,a) ),
    inference(instantiation,[status(thm)],[10]) ).

cnf(l4,plain,
    ( ~ differ(b,d)
    | differ(d,b) ),
    inference(instantiation,[status(thm)],[10]) ).

cnf(l48,plain,
    ( ~ holds(empty,s0)
    | ~ holds(clear(c),s0)
    | ~ differ(c,table)
    | holds(holding(c),do(pickup(c),s0)) ),
    inference(instantiation,[status(thm)],[1]) ).

cnf(20,plain,
    differ(d,table),
    inference(cnf,[status(esa)],[differ_d_table]) ).

cnf(l30,plain,
    differ(d,table),
    inference(instantiation,[status(thm)],[20]) ).

cnf(l42,plain,
    ( ~ holds(clear(a),s0)
    | ~ differ(a,c)
    | holds(clear(a),do(pickup(c),s0)) ),
    inference(instantiation,[status(thm)],[4]) ).

cnf(25,plain,
    holds(clear(a),s0),
    inference(cnf,[status(esa)],[initial_state5]) ).

cnf(l49,plain,
    holds(clear(a),s0),
    inference(instantiation,[status(thm)],[25]) ).

cnf(16,plain,
    differ(b,d),
    inference(cnf,[status(esa)],[differ_b_d]) ).

cnf(l53,plain,
    differ(b,d),
    inference(instantiation,[status(thm)],[16]) ).

cnf(28,plain,
    holds(empty,s0),
    inference(cnf,[status(esa)],[initial_state8]) ).

cnf(l54,plain,
    holds(empty,s0),
    inference(instantiation,[status(thm)],[28]) ).

cnf(l5,plain,
    ( ~ holds(clear(b),do(putdown(c,table),do(pickup(c),s0)))
    | ~ differ(b,a)
    | holds(clear(b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))) ),
    inference(instantiation,[status(thm)],[4]) ).

cnf(2,plain,
    ( ~ holds(empty,X0)
    | ~ holds(clear(X1),X0)
    | ~ holds(on(X1,X2),X0)
    | holds(clear(X2),do(pickup(X1),X0)) ),
    inference(cnf,[status(esa)],[pickup_2]) ).

cnf(l21,plain,
    ( ~ holds(empty,s0)
    | ~ holds(clear(c),s0)
    | ~ holds(on(c,d),s0)
    | holds(clear(d),do(pickup(c),s0)) ),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l8,plain,
    ( ~ differ(a,b)
    | differ(b,a) ),
    inference(instantiation,[status(thm)],[10]) ).

cnf(23,plain,
    holds(on(c,d),s0),
    inference(cnf,[status(esa)],[initial_state3]) ).

cnf(l37,plain,
    holds(on(c,d),s0),
    inference(instantiation,[status(thm)],[23]) ).

cnf(11,plain,
    differ(a,b),
    inference(cnf,[status(esa)],[differ_a_b]) ).

cnf(l11,plain,
    differ(a,b),
    inference(instantiation,[status(thm)],[11]) ).

cnf(27,plain,
    holds(clear(c),s0),
    inference(cnf,[status(esa)],[initial_state7]) ).

cnf(l51,plain,
    holds(clear(c),s0),
    inference(instantiation,[status(thm)],[27]) ).

cnf(l35,plain,
    holds(clear(c),s0),
    inference(instantiation,[status(thm)],[27]) ).

cnf(l7,plain,
    ( ~ holds(clear(b),do(pickup(c),s0))
    | ~ differ(b,table)
    | holds(clear(b),do(putdown(c,table),do(pickup(c),s0))) ),
    inference(instantiation,[status(thm)],[9]) ).

cnf(l36,plain,
    holds(empty,s0),
    inference(instantiation,[status(thm)],[28]) ).

cnf(12,plain,
    differ(a,c),
    inference(cnf,[status(esa)],[differ_a_c]) ).

cnf(l52,plain,
    differ(a,c),
    inference(instantiation,[status(thm)],[12]) ).

cnf(17,plain,
    differ(b,table),
    inference(cnf,[status(esa)],[differ_b_table]) ).

cnf(l13,plain,
    differ(b,table),
    inference(instantiation,[status(thm)],[17]) ).

cnf(13,plain,
    differ(a,d),
    inference(cnf,[status(esa)],[differ_a_d]) ).

cnf(l17,plain,
    differ(a,d),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l25,plain,
    ( ~ holds(clear(b),s0)
    | ~ differ(b,c)
    | holds(clear(b),do(pickup(c),s0)) ),
    inference(instantiation,[status(thm)],[4]) ).

cnf(15,plain,
    differ(b,c),
    inference(cnf,[status(esa)],[differ_b_c]) ).

cnf(l27,plain,
    differ(b,c),
    inference(instantiation,[status(thm)],[15]) ).

cnf(26,plain,
    holds(clear(b),s0),
    inference(cnf,[status(esa)],[initial_state6]) ).

cnf(l32,plain,
    holds(clear(b),s0),
    inference(instantiation,[status(thm)],[26]) ).

cnf(19,plain,
    differ(c,table),
    inference(cnf,[status(esa)],[differ_c_table]) ).

cnf(l50,plain,
    differ(c,table),
    inference(instantiation,[status(thm)],[19]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l38,l39,l40,l6,l44,l41,l43,l18,l10,l4,l48,l30,l42,l49,l53,l54,l5,l21,l8,l37,l11,l51,l35,l7,l36,l52,l13,l17,l25,l27,l32,l50]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : PLA009-1 : TPTP v9.0.0. Released v1.1.0.
% 0.04/0.12  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Jul 21 15:08:34 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % launching worker at depth: 2
% 0.12/0.34  % launching worker at depth: 6
% 0.12/0.34  % launching worker at depth: 4
% 0.12/0.34  % launching worker at depth: 1
% 0.12/0.34  % launching worker at depth: 5
% 0.12/0.34  % launching worker at depth: 3
% 0.12/0.34  % launching worker at depth: 7
% 0.12/0.34  % launching worker at depth: 8
% 0.12/0.34  % launching worker at depth: 9
% 0.12/0.34  % launching worker at depth: 10
% 0.12/0.34  % launching worker at depth: 11
% 0.12/0.34  % launching worker at depth: 12
% 0.18/0.38  % launching worker at depth: 13
% 0.18/0.40  % SZS status Theorem for theBenchmark
% 0.18/0.40  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------