%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LAT014-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 : Thu Sep 24 08:47:40 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.41s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 31 ( 22 unt; 0 nHn; 22 RR)
% Number of literals : 46 ( 35 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 49 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mckenzie2,axiom,
meet(X,join(Y,join(X,Z))) = X,
file('theBenchmark.p',mckenzie2) ).
cnf(mckenzie3,axiom,
join(join(meet(X,Y),meet(Y,Z)),Y) = Y,
file('theBenchmark.p',mckenzie3) ).
cnf(mckenzie4,axiom,
meet(meet(join(X,Y),join(Y,Z)),Y) = Y,
file('theBenchmark.p',mckenzie4) ).
cnf(prove_absorbtion,negated_conjecture,
meet(a,join(a,b)) != a,
file('theBenchmark.p',prove_absorbtion) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( meet(Eq_x_0,Eq_x_1) = meet(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(t1,plain,
meet(a,join(a,b)) != a,
inference(start,[status(thm),parent(0:0)],[prove_absorbtion]) ).
cnf(t2,plain,
( meet(meet(meet(join(U_197,a),join(a,U_199)),a),join(join(meet(U_187,join(a,b)),meet(join(a,b),U_189)),join(a,b))) != a
| meet(a,join(a,b)) != meet(meet(meet(join(U_197,a),join(a,U_199)),a),join(join(meet(U_187,join(a,b)),meet(join(a,b),U_189)),join(a,b)))
| meet(a,join(a,b)) = a ),
inference(extension,[status(thm),parent(t1:1)],[equality_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( join(a,b) != join(join(meet(U_187,join(a,b)),meet(join(a,b),U_189)),join(a,b))
| a != meet(meet(join(U_197,a),join(a,U_199)),a)
| meet(a,join(a,b)) = meet(meet(meet(join(U_197,a),join(a,U_199)),a),join(join(meet(U_187,join(a,b)),meet(join(a,b),U_189)),join(a,b))) ),
inference(extension,[status(thm),parent(t2:2)],[equality_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( meet(meet(join(U_197,a),join(a,U_199)),a) != a
| a = meet(meet(join(U_197,a),join(a,U_199)),a) ),
inference(extension,[status(thm),parent(t4:2)],[equality_2]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
meet(meet(join(U_197,a),join(a,U_199)),a) = a,
inference(extension,[status(thm),parent(t6:2)],[mckenzie4]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( join(join(meet(U_187,join(a,b)),meet(join(a,b),U_189)),join(a,b)) != join(a,b)
| join(a,b) = join(join(meet(U_187,join(a,b)),meet(join(a,b),U_189)),join(a,b)) ),
inference(extension,[status(thm),parent(t4:3)],[equality_2]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t4:3]) ).
cnf(t12,plain,
join(join(meet(U_187,join(a,b)),meet(join(a,b),U_189)),join(a,b)) = join(a,b),
inference(extension,[status(thm),parent(t10:2)],[mckenzie3]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
( meet(a,join(join(meet(U_187,join(a,b)),meet(join(a,b),U_189)),join(a,b))) != a
| meet(meet(meet(join(U_197,a),join(a,U_199)),a),join(join(meet(U_187,join(a,b)),meet(join(a,b),U_189)),join(a,b))) != meet(a,join(join(meet(U_187,join(a,b)),meet(join(a,b),U_189)),join(a,b)))
| meet(meet(meet(join(U_197,a),join(a,U_199)),a),join(join(meet(U_187,join(a,b)),meet(join(a,b),U_189)),join(a,b))) = a ),
inference(extension,[status(thm),parent(t2:3)],[equality_3]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t2:3]) ).
cnf(t16,plain,
( join(join(meet(U_187,join(a,b)),meet(join(a,b),U_189)),join(a,b)) != join(join(meet(U_187,join(a,b)),meet(join(a,b),U_189)),join(a,b))
| meet(meet(join(U_197,a),join(a,U_199)),a) != a
| meet(meet(meet(join(U_197,a),join(a,U_199)),a),join(join(meet(U_187,join(a,b)),meet(join(a,b),U_189)),join(a,b))) = meet(a,join(join(meet(U_187,join(a,b)),meet(join(a,b),U_189)),join(a,b))) ),
inference(extension,[status(thm),parent(t14:2)],[equality_4]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
meet(meet(join(U_197,a),join(a,U_199)),a) = a,
inference(extension,[status(thm),parent(t16:2)],[mckenzie4]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
join(join(meet(U_187,join(a,b)),meet(join(a,b),U_189)),join(a,b)) = join(join(meet(U_187,join(a,b)),meet(join(a,b),U_189)),join(a,b)),
inference(extension,[status(thm),parent(t16:3)],[equality_1]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t16:3]) ).
cnf(t22,plain,
meet(a,join(join(meet(U_187,join(a,b)),meet(join(a,b),U_189)),join(a,b))) = a,
inference(extension,[status(thm),parent(t14:3)],[mckenzie2]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t14:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT014-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 19 12:28:18 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.41 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------