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leanCoP---2.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWX186+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n020.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 : Tue May  5 07:03:31 PM UTC 2026

% Result   : Theorem 0.38s 1.41s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWX186+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13  % Command  : leancop_casc.sh %s %d
% 0.17/0.34  % Computer : n020.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue May  5 09:37:34 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.38/1.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.42  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.42  
% 0.38/1.42  %-----------------------------------------------------
% 0.38/1.42  fof(goal_009, conjecture, ? [_16074, _16077, _16080] : ~ (drop(_16074, _16077) = drop(_16074, _16080) => _16077 = _16080), file('/export/starexec/sandbox/benchmark/theBenchmark.p', goal_009)).
% 0.38/1.42  fof(axiom_003, axiom, ! [_16264, _16267] : (! nil) = cons(_16264, _16267), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_003)).
% 0.38/1.42  fof(axiom_007, axiom, ! [_16404, _16407, _16410] : drop(s(_16404), cons(_16407, _16410)) = drop(_16404, _16410), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_007)).
% 0.38/1.42  fof(axiom_008, axiom, ! [_16586] : drop(z, _16586) = _16586, file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_008)).
% 0.38/1.42  
% 0.38/1.42  cnf(1, plain, [drop(_11181, _11240) = drop(_11181, _11298), -(_11240 = _11298)], clausify(goal_009)).
% 0.38/1.42  cnf(2, plain, [nil = cons(_9484, _9528)], clausify(axiom_003)).
% 0.38/1.42  cnf(3, plain, [-(drop(s(_10423), cons(_10478, _10532)) = drop(_10423, _10532))], clausify(axiom_007)).
% 0.38/1.42  cnf(4, plain, [-(drop(z, _10856) = _10856)], clausify(axiom_008)).
% 0.38/1.42  cnf(5, plain, [_5490 = _5535, -(_5535 = _5490)], theory(equality)).
% 0.38/1.42  cnf(6, plain, [-(_5769 = _5880), _5769 = _5825, _5825 = _5880], theory(equality)).
% 0.38/1.42  
% 0.38/1.42  cnf('1',plain,[nil = cons(_13920, drop(s(z), nil))],start(2,bind([[_9484, _9528], [_13920, drop(s(z), nil)]]))).
% 0.38/1.42  cnf('1.1',plain,[-(nil = cons(_13920, drop(s(z), nil))), drop(s(z), nil) = drop(s(z), cons(_13920, drop(s(z), nil)))],extension(1,bind([[_11240, _11181, _11298], [nil, s(z), cons(_13920, drop(s(z), nil))]]))).
% 0.38/1.42  cnf('1.1.1',plain,[-(drop(s(z), nil) = drop(s(z), cons(_13920, drop(s(z), nil)))), drop(s(z), cons(_13920, drop(s(z), nil))) = drop(s(z), nil)],extension(5,bind([[_5490, _5535], [drop(s(z), cons(_13920, drop(s(z), nil))), drop(s(z), nil)]]))).
% 0.38/1.42  cnf('1.1.1.1',plain,[-(drop(s(z), cons(_13920, drop(s(z), nil))) = drop(s(z), nil)), drop(s(z), cons(_13920, drop(s(z), nil))) = drop(z, drop(s(z), nil)), drop(z, drop(s(z), nil)) = drop(s(z), nil)],extension(6,bind([[_5769, _5825, _5880], [drop(s(z), cons(_13920, drop(s(z), nil))), drop(z, drop(s(z), nil)), drop(s(z), nil)]]))).
% 0.38/1.42  cnf('1.1.1.1.1',plain,[-(drop(s(z), cons(_13920, drop(s(z), nil))) = drop(z, drop(s(z), nil)))],extension(3,bind([[_10478, _10423, _10532], [_13920, z, drop(s(z), nil)]]))).
% 0.38/1.42  cnf('1.1.1.1.2',plain,[-(drop(z, drop(s(z), nil)) = drop(s(z), nil))],extension(4,bind([[_10856], [drop(s(z), nil)]]))).
% 0.38/1.42  %-----------------------------------------------------
% 0.38/1.43  
% 0.38/1.43  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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