TSTP Solution File: GRP167-2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP167-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 Aug 31 00:58:23 EDT 2023
% Result : Unsatisfiable 16.12s 2.65s
% Output : CNFRefutation 16.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 21
% Syntax : Number of clauses : 149 ( 149 unt; 0 nHn; 4 RR)
% Number of literals : 149 ( 148 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 212 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(identity) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lat4_1) ).
cnf(c_50,plain,
inverse(inverse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lat4_2) ).
cnf(c_51,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lat4_3) ).
cnf(c_52,plain,
least_upper_bound(X0,identity) = positive_part(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lat4_4) ).
cnf(c_53,plain,
greatest_lower_bound(X0,identity) = negative_part(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lat4_5) ).
cnf(c_54,plain,
greatest_lower_bound(least_upper_bound(X0,X1),least_upper_bound(X0,X2)) = least_upper_bound(X0,greatest_lower_bound(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lat4_6) ).
cnf(c_55,plain,
least_upper_bound(greatest_lower_bound(X0,X1),greatest_lower_bound(X0,X2)) = greatest_lower_bound(X0,least_upper_bound(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lat4_7) ).
cnf(c_56,negated_conjecture,
multiply(positive_part(a),negative_part(a)) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lat4) ).
cnf(c_57,plain,
greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_glb) ).
cnf(c_58,plain,
least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).
cnf(c_59,plain,
greatest_lower_bound(greatest_lower_bound(X0,X1),X2) = greatest_lower_bound(X0,greatest_lower_bound(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_glb) ).
cnf(c_60,plain,
least_upper_bound(least_upper_bound(X0,X1),X2) = least_upper_bound(X0,least_upper_bound(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_lub) ).
cnf(c_63,plain,
least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',lub_absorbtion) ).
cnf(c_64,plain,
greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).
cnf(c_65,plain,
least_upper_bound(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,least_upper_bound(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_lub1) ).
cnf(c_66,plain,
greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,greatest_lower_bound(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_glb1) ).
cnf(c_67,plain,
least_upper_bound(multiply(X0,X1),multiply(X2,X1)) = multiply(least_upper_bound(X0,X2),X1),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_lub2) ).
cnf(c_68,plain,
greatest_lower_bound(multiply(X0,X1),multiply(X2,X1)) = multiply(greatest_lower_bound(X0,X2),X1),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_glb2) ).
cnf(c_69,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_70,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_71,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_257,plain,
greatest_lower_bound(identity,X0) = negative_part(X0),
inference(superposition,[status(thm)],[c_53,c_57]) ).
cnf(c_261,plain,
least_upper_bound(identity,X0) = positive_part(X0),
inference(superposition,[status(thm)],[c_52,c_58]) ).
cnf(c_265,plain,
least_upper_bound(X0,negative_part(X0)) = X0,
inference(superposition,[status(thm)],[c_53,c_63]) ).
cnf(c_277,plain,
least_upper_bound(identity,negative_part(X0)) = identity,
inference(superposition,[status(thm)],[c_257,c_63]) ).
cnf(c_288,plain,
positive_part(greatest_lower_bound(identity,X0)) = identity,
inference(superposition,[status(thm)],[c_261,c_63]) ).
cnf(c_289,plain,
positive_part(negative_part(X0)) = identity,
inference(light_normalisation,[status(thm)],[c_288,c_257]) ).
cnf(c_297,plain,
greatest_lower_bound(X0,positive_part(X0)) = X0,
inference(superposition,[status(thm)],[c_52,c_64]) ).
cnf(c_298,plain,
greatest_lower_bound(X0,least_upper_bound(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_58,c_64]) ).
cnf(c_302,plain,
greatest_lower_bound(identity,positive_part(X0)) = identity,
inference(superposition,[status(thm)],[c_261,c_64]) ).
cnf(c_305,plain,
negative_part(least_upper_bound(identity,X0)) = identity,
inference(superposition,[status(thm)],[c_64,c_257]) ).
cnf(c_306,plain,
negative_part(positive_part(X0)) = identity,
inference(light_normalisation,[status(thm)],[c_305,c_261]) ).
cnf(c_314,plain,
inverse(multiply(identity,X0)) = multiply(inverse(X0),identity),
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_315,plain,
inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[status(thm)],[c_50,c_51]) ).
cnf(c_322,plain,
multiply(inverse(X0),identity) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_314,c_69]) ).
cnf(c_370,plain,
least_upper_bound(positive_part(X0),identity) = positive_part(X0),
inference(superposition,[status(thm)],[c_306,c_265]) ).
cnf(c_372,plain,
least_upper_bound(identity,positive_part(X0)) = positive_part(X0),
inference(theory_normalisation,[status(thm)],[c_370,c_60,c_58,c_59,c_57]) ).
cnf(c_377,plain,
greatest_lower_bound(negative_part(X0),identity) = negative_part(X0),
inference(superposition,[status(thm)],[c_289,c_297]) ).
cnf(c_382,plain,
greatest_lower_bound(identity,negative_part(X0)) = negative_part(X0),
inference(theory_normalisation,[status(thm)],[c_377,c_60,c_58,c_59,c_57]) ).
cnf(c_409,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_70,c_71]) ).
cnf(c_419,plain,
greatest_lower_bound(positive_part(X0),least_upper_bound(X0,X1)) = least_upper_bound(X0,greatest_lower_bound(identity,X1)),
inference(superposition,[status(thm)],[c_52,c_54]) ).
cnf(c_474,plain,
least_upper_bound(negative_part(X0),greatest_lower_bound(X0,X1)) = greatest_lower_bound(X0,least_upper_bound(identity,X1)),
inference(superposition,[status(thm)],[c_53,c_55]) ).
cnf(c_491,plain,
greatest_lower_bound(X0,least_upper_bound(X1,positive_part(X0))) = least_upper_bound(greatest_lower_bound(X0,X1),X0),
inference(superposition,[status(thm)],[c_297,c_55]) ).
cnf(c_503,plain,
greatest_lower_bound(X0,least_upper_bound(X1,positive_part(X0))) = least_upper_bound(X0,greatest_lower_bound(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_491,c_60,c_58,c_59,c_57]) ).
cnf(c_504,plain,
greatest_lower_bound(X0,least_upper_bound(X1,positive_part(X0))) = X0,
inference(light_normalisation,[status(thm)],[c_503,c_63]) ).
cnf(c_574,plain,
greatest_lower_bound(X0,least_upper_bound(X1,least_upper_bound(X2,X0))) = X0,
inference(superposition,[status(thm)],[c_60,c_298]) ).
cnf(c_580,plain,
greatest_lower_bound(negative_part(X0),X0) = negative_part(X0),
inference(superposition,[status(thm)],[c_265,c_298]) ).
cnf(c_591,plain,
greatest_lower_bound(X0,negative_part(X0)) = negative_part(X0),
inference(theory_normalisation,[status(thm)],[c_580,c_60,c_58,c_59,c_57]) ).
cnf(c_604,plain,
multiply(X0,identity) = X0,
inference(superposition,[status(thm)],[c_50,c_322]) ).
cnf(c_612,plain,
least_upper_bound(X0,multiply(X0,X1)) = multiply(X0,least_upper_bound(identity,X1)),
inference(superposition,[status(thm)],[c_604,c_65]) ).
cnf(c_647,plain,
greatest_lower_bound(X0,multiply(X0,X1)) = multiply(X0,greatest_lower_bound(identity,X1)),
inference(superposition,[status(thm)],[c_604,c_66]) ).
cnf(c_685,plain,
least_upper_bound(X0,multiply(X1,X0)) = multiply(least_upper_bound(identity,X1),X0),
inference(superposition,[status(thm)],[c_69,c_67]) ).
cnf(c_686,plain,
multiply(least_upper_bound(inverse(X0),X1),X0) = least_upper_bound(identity,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_70,c_67]) ).
cnf(c_731,plain,
greatest_lower_bound(X0,multiply(X1,X0)) = multiply(greatest_lower_bound(identity,X1),X0),
inference(superposition,[status(thm)],[c_69,c_68]) ).
cnf(c_732,plain,
multiply(greatest_lower_bound(inverse(X0),X1),X0) = greatest_lower_bound(identity,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_70,c_68]) ).
cnf(c_812,plain,
negative_part(negative_part(X0)) = negative_part(X0),
inference(superposition,[status(thm)],[c_382,c_257]) ).
cnf(c_850,plain,
least_upper_bound(greatest_lower_bound(X0,X1),negative_part(X0)) = greatest_lower_bound(X0,least_upper_bound(X1,negative_part(X0))),
inference(superposition,[status(thm)],[c_591,c_55]) ).
cnf(c_856,plain,
least_upper_bound(negative_part(X0),greatest_lower_bound(X0,X1)) = greatest_lower_bound(X0,least_upper_bound(X1,negative_part(X0))),
inference(theory_normalisation,[status(thm)],[c_850,c_60,c_58,c_59,c_57]) ).
cnf(c_857,plain,
greatest_lower_bound(X0,least_upper_bound(X1,negative_part(X0))) = greatest_lower_bound(X0,least_upper_bound(identity,X1)),
inference(light_normalisation,[status(thm)],[c_856,c_474]) ).
cnf(c_899,plain,
greatest_lower_bound(X0,least_upper_bound(X1,least_upper_bound(X2,positive_part(X0)))) = X0,
inference(superposition,[status(thm)],[c_60,c_504]) ).
cnf(c_1487,plain,
greatest_lower_bound(greatest_lower_bound(X0,X1),least_upper_bound(X2,X0)) = greatest_lower_bound(X0,X1),
inference(superposition,[status(thm)],[c_63,c_574]) ).
cnf(c_1525,plain,
greatest_lower_bound(X0,greatest_lower_bound(X1,least_upper_bound(X2,X0))) = greatest_lower_bound(X0,X1),
inference(theory_normalisation,[status(thm)],[c_1487,c_60,c_58,c_59,c_57]) ).
cnf(c_3921,plain,
multiply(inverse(inverse(X0)),inverse(multiply(X1,X0))) = multiply(identity,inverse(X1)),
inference(superposition,[status(thm)],[c_51,c_409]) ).
cnf(c_3943,plain,
multiply(X0,inverse(multiply(X1,X0))) = multiply(identity,inverse(X1)),
inference(light_normalisation,[status(thm)],[c_3921,c_50]) ).
cnf(c_4110,plain,
greatest_lower_bound(X0,least_upper_bound(X1,least_upper_bound(X2,least_upper_bound(X3,positive_part(X0))))) = X0,
inference(superposition,[status(thm)],[c_60,c_899]) ).
cnf(c_5693,plain,
multiply(inverse(X0),least_upper_bound(identity,X0)) = least_upper_bound(inverse(X0),identity),
inference(superposition,[status(thm)],[c_70,c_612]) ).
cnf(c_5727,plain,
multiply(inverse(X0),least_upper_bound(identity,X0)) = least_upper_bound(identity,inverse(X0)),
inference(theory_normalisation,[status(thm)],[c_5693,c_60,c_58,c_59,c_57]) ).
cnf(c_5728,plain,
multiply(inverse(X0),positive_part(X0)) = least_upper_bound(identity,inverse(X0)),
inference(light_normalisation,[status(thm)],[c_5727,c_261]) ).
cnf(c_5761,plain,
multiply(X0,positive_part(inverse(X0))) = least_upper_bound(identity,X0),
inference(superposition,[status(thm)],[c_50,c_5728]) ).
cnf(c_5765,plain,
multiply(inverse(negative_part(X0)),identity) = least_upper_bound(identity,inverse(negative_part(X0))),
inference(superposition,[status(thm)],[c_289,c_5728]) ).
cnf(c_5785,plain,
multiply(X0,positive_part(inverse(X0))) = positive_part(X0),
inference(light_normalisation,[status(thm)],[c_5761,c_261]) ).
cnf(c_5858,plain,
multiply(inverse(X0),positive_part(X0)) = positive_part(inverse(X0)),
inference(superposition,[status(thm)],[c_50,c_5785]) ).
cnf(c_5867,plain,
multiply(X0,multiply(positive_part(inverse(X0)),X1)) = multiply(positive_part(X0),X1),
inference(superposition,[status(thm)],[c_5785,c_71]) ).
cnf(c_6024,plain,
multiply(inverse(negative_part(X0)),identity) = positive_part(inverse(negative_part(X0))),
inference(superposition,[status(thm)],[c_289,c_5858]) ).
cnf(c_6177,plain,
multiply(inverse(X0),greatest_lower_bound(identity,X0)) = greatest_lower_bound(inverse(X0),identity),
inference(superposition,[status(thm)],[c_70,c_647]) ).
cnf(c_6213,plain,
multiply(inverse(X0),greatest_lower_bound(identity,X0)) = greatest_lower_bound(identity,inverse(X0)),
inference(theory_normalisation,[status(thm)],[c_6177,c_60,c_58,c_59,c_57]) ).
cnf(c_6214,plain,
multiply(inverse(X0),negative_part(X0)) = greatest_lower_bound(identity,inverse(X0)),
inference(light_normalisation,[status(thm)],[c_6213,c_257]) ).
cnf(c_6262,plain,
multiply(X0,negative_part(inverse(X0))) = greatest_lower_bound(identity,X0),
inference(superposition,[status(thm)],[c_50,c_6214]) ).
cnf(c_6289,plain,
multiply(X0,negative_part(inverse(X0))) = negative_part(X0),
inference(light_normalisation,[status(thm)],[c_6262,c_257]) ).
cnf(c_6487,plain,
multiply(inverse(X0),negative_part(X0)) = negative_part(inverse(X0)),
inference(superposition,[status(thm)],[c_50,c_6289]) ).
cnf(c_6506,plain,
multiply(inverse(negative_part(inverse(inverse(X0)))),X0) = inverse(negative_part(inverse(X0))),
inference(superposition,[status(thm)],[c_6289,c_315]) ).
cnf(c_6510,plain,
multiply(inverse(negative_part(X0)),X0) = inverse(negative_part(inverse(X0))),
inference(light_normalisation,[status(thm)],[c_6506,c_50]) ).
cnf(c_6543,plain,
multiply(inverse(negative_part(X0)),negative_part(X0)) = negative_part(inverse(negative_part(X0))),
inference(superposition,[status(thm)],[c_812,c_6487]) ).
cnf(c_7012,plain,
multiply(greatest_lower_bound(identity,X0),positive_part(inverse(X0))) = greatest_lower_bound(positive_part(inverse(X0)),positive_part(X0)),
inference(superposition,[status(thm)],[c_5785,c_731]) ).
cnf(c_7060,plain,
multiply(greatest_lower_bound(identity,X0),positive_part(inverse(X0))) = greatest_lower_bound(positive_part(X0),positive_part(inverse(X0))),
inference(theory_normalisation,[status(thm)],[c_7012,c_60,c_58,c_59,c_57]) ).
cnf(c_7061,plain,
multiply(negative_part(X0),positive_part(inverse(X0))) = greatest_lower_bound(positive_part(X0),positive_part(inverse(X0))),
inference(light_normalisation,[status(thm)],[c_7060,c_257]) ).
cnf(c_8670,plain,
multiply(positive_part(X0),inverse(positive_part(inverse(X0)))) = multiply(identity,inverse(inverse(X0))),
inference(superposition,[status(thm)],[c_5858,c_3943]) ).
cnf(c_8672,plain,
multiply(negative_part(X0),inverse(negative_part(inverse(X0)))) = multiply(identity,inverse(inverse(X0))),
inference(superposition,[status(thm)],[c_6487,c_3943]) ).
cnf(c_8707,plain,
multiply(negative_part(X0),inverse(negative_part(inverse(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_8672,c_50,c_69]) ).
cnf(c_8708,plain,
multiply(positive_part(X0),inverse(positive_part(inverse(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_8670,c_50,c_69]) ).
cnf(c_8922,plain,
multiply(greatest_lower_bound(identity,negative_part(X0)),inverse(negative_part(inverse(X0)))) = greatest_lower_bound(inverse(negative_part(inverse(X0))),X0),
inference(superposition,[status(thm)],[c_8707,c_731]) ).
cnf(c_8947,plain,
multiply(greatest_lower_bound(identity,negative_part(X0)),inverse(negative_part(inverse(X0)))) = greatest_lower_bound(X0,inverse(negative_part(inverse(X0)))),
inference(theory_normalisation,[status(thm)],[c_8922,c_60,c_58,c_59,c_57]) ).
cnf(c_8948,plain,
greatest_lower_bound(X0,inverse(negative_part(inverse(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_8947,c_382,c_8707]) ).
cnf(c_9004,plain,
greatest_lower_bound(X0,greatest_lower_bound(inverse(negative_part(inverse(X0))),X1)) = greatest_lower_bound(X0,X1),
inference(superposition,[status(thm)],[c_8948,c_59]) ).
cnf(c_9081,plain,
multiply(least_upper_bound(identity,positive_part(X0)),inverse(positive_part(inverse(X0)))) = least_upper_bound(inverse(positive_part(inverse(X0))),X0),
inference(superposition,[status(thm)],[c_8708,c_685]) ).
cnf(c_9099,plain,
multiply(least_upper_bound(identity,positive_part(X0)),inverse(positive_part(inverse(X0)))) = least_upper_bound(X0,inverse(positive_part(inverse(X0)))),
inference(theory_normalisation,[status(thm)],[c_9081,c_60,c_58,c_59,c_57]) ).
cnf(c_9100,plain,
least_upper_bound(X0,inverse(positive_part(inverse(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_9099,c_372,c_8708]) ).
cnf(c_9136,plain,
least_upper_bound(inverse(X0),inverse(positive_part(X0))) = inverse(X0),
inference(superposition,[status(thm)],[c_50,c_9100]) ).
cnf(c_9265,plain,
least_upper_bound(inverse(negative_part(X0)),inverse(identity)) = inverse(negative_part(X0)),
inference(superposition,[status(thm)],[c_289,c_9136]) ).
cnf(c_9294,plain,
least_upper_bound(inverse(identity),inverse(negative_part(X0))) = inverse(negative_part(X0)),
inference(theory_normalisation,[status(thm)],[c_9265,c_60,c_58,c_59,c_57]) ).
cnf(c_9295,plain,
positive_part(inverse(negative_part(X0))) = inverse(negative_part(X0)),
inference(light_normalisation,[status(thm)],[c_9294,c_49,c_5765,c_6024]) ).
cnf(c_9708,plain,
negative_part(inverse(negative_part(X0))) = identity,
inference(superposition,[status(thm)],[c_9295,c_306]) ).
cnf(c_12242,plain,
greatest_lower_bound(X0,least_upper_bound(X1,greatest_lower_bound(identity,X0))) = greatest_lower_bound(X0,positive_part(X1)),
inference(superposition,[status(thm)],[c_419,c_1525]) ).
cnf(c_12262,plain,
greatest_lower_bound(X0,least_upper_bound(identity,X1)) = greatest_lower_bound(X0,positive_part(X1)),
inference(light_normalisation,[status(thm)],[c_12242,c_257,c_857]) ).
cnf(c_12800,plain,
least_upper_bound(negative_part(X0),greatest_lower_bound(X0,X1)) = greatest_lower_bound(X0,positive_part(X1)),
inference(light_normalisation,[status(thm)],[c_474,c_12262]) ).
cnf(c_12824,plain,
least_upper_bound(negative_part(X0),greatest_lower_bound(X1,X0)) = greatest_lower_bound(X0,positive_part(X1)),
inference(superposition,[status(thm)],[c_57,c_12800]) ).
cnf(c_15083,plain,
multiply(positive_part(inverse(X0)),X0) = least_upper_bound(identity,multiply(identity,X0)),
inference(superposition,[status(thm)],[c_52,c_686]) ).
cnf(c_15091,plain,
least_upper_bound(identity,multiply(negative_part(inverse(X0)),X0)) = multiply(inverse(X0),X0),
inference(superposition,[status(thm)],[c_265,c_686]) ).
cnf(c_15152,plain,
multiply(positive_part(inverse(X0)),X0) = positive_part(X0),
inference(light_normalisation,[status(thm)],[c_15083,c_69,c_261]) ).
cnf(c_15154,plain,
least_upper_bound(identity,multiply(negative_part(inverse(X0)),X0)) = identity,
inference(light_normalisation,[status(thm)],[c_15091,c_70]) ).
cnf(c_15234,plain,
multiply(positive_part(inverse(X0)),greatest_lower_bound(identity,X0)) = greatest_lower_bound(positive_part(inverse(X0)),positive_part(X0)),
inference(superposition,[status(thm)],[c_15152,c_647]) ).
cnf(c_15242,plain,
multiply(positive_part(inverse(X0)),multiply(X0,X1)) = multiply(positive_part(X0),X1),
inference(superposition,[status(thm)],[c_15152,c_71]) ).
cnf(c_15276,plain,
multiply(positive_part(inverse(X0)),greatest_lower_bound(identity,X0)) = greatest_lower_bound(positive_part(X0),positive_part(inverse(X0))),
inference(theory_normalisation,[status(thm)],[c_15234,c_60,c_58,c_59,c_57]) ).
cnf(c_15277,plain,
multiply(positive_part(inverse(X0)),negative_part(X0)) = multiply(negative_part(X0),positive_part(inverse(X0))),
inference(light_normalisation,[status(thm)],[c_15276,c_257,c_7061]) ).
cnf(c_16128,plain,
least_upper_bound(identity,greatest_lower_bound(X0,multiply(negative_part(inverse(X1)),X1))) = greatest_lower_bound(least_upper_bound(identity,X0),identity),
inference(superposition,[status(thm)],[c_15154,c_54]) ).
cnf(c_16163,plain,
least_upper_bound(identity,greatest_lower_bound(X0,multiply(negative_part(inverse(X1)),X1))) = greatest_lower_bound(identity,least_upper_bound(identity,X0)),
inference(theory_normalisation,[status(thm)],[c_16128,c_60,c_58,c_59,c_57]) ).
cnf(c_16164,plain,
least_upper_bound(identity,greatest_lower_bound(X0,multiply(negative_part(inverse(X1)),X1))) = identity,
inference(light_normalisation,[status(thm)],[c_16163,c_261,c_302]) ).
cnf(c_16586,plain,
least_upper_bound(identity,greatest_lower_bound(multiply(negative_part(inverse(X0)),X0),X1)) = identity,
inference(superposition,[status(thm)],[c_57,c_16164]) ).
cnf(c_16698,plain,
least_upper_bound(identity,multiply(negative_part(inverse(X0)),greatest_lower_bound(X0,X1))) = identity,
inference(superposition,[status(thm)],[c_66,c_16586]) ).
cnf(c_17393,plain,
least_upper_bound(identity,multiply(negative_part(X0),greatest_lower_bound(inverse(X0),X1))) = identity,
inference(superposition,[status(thm)],[c_50,c_16698]) ).
cnf(c_19014,plain,
multiply(negative_part(inverse(X0)),X0) = greatest_lower_bound(identity,multiply(identity,X0)),
inference(superposition,[status(thm)],[c_53,c_732]) ).
cnf(c_19086,plain,
multiply(negative_part(inverse(X0)),X0) = negative_part(X0),
inference(light_normalisation,[status(thm)],[c_19014,c_69,c_257]) ).
cnf(c_19172,plain,
multiply(negative_part(X0),inverse(X0)) = negative_part(inverse(X0)),
inference(superposition,[status(thm)],[c_50,c_19086]) ).
cnf(c_20941,plain,
greatest_lower_bound(inverse(negative_part(X0)),inverse(negative_part(inverse(X0)))) = multiply(inverse(negative_part(X0)),greatest_lower_bound(identity,X0)),
inference(superposition,[status(thm)],[c_6510,c_647]) ).
cnf(c_20988,plain,
greatest_lower_bound(inverse(negative_part(X0)),inverse(negative_part(inverse(X0)))) = identity,
inference(light_normalisation,[status(thm)],[c_20941,c_257,c_6543,c_9708]) ).
cnf(c_21322,plain,
least_upper_bound(identity,multiply(negative_part(X0),inverse(X0))) = identity,
inference(superposition,[status(thm)],[c_4110,c_17393]) ).
cnf(c_21332,plain,
least_upper_bound(identity,negative_part(inverse(X0))) = identity,
inference(light_normalisation,[status(thm)],[c_21322,c_19172]) ).
cnf(c_22150,plain,
greatest_lower_bound(X0,greatest_lower_bound(X1,inverse(negative_part(inverse(X0))))) = greatest_lower_bound(X0,X1),
inference(superposition,[status(thm)],[c_57,c_9004]) ).
cnf(c_24639,plain,
multiply(positive_part(inverse(inverse(X0))),negative_part(inverse(X0))) = multiply(positive_part(inverse(X0)),negative_part(X0)),
inference(superposition,[status(thm)],[c_6487,c_15242]) ).
cnf(c_24694,plain,
multiply(positive_part(X0),negative_part(inverse(X0))) = multiply(negative_part(X0),positive_part(inverse(X0))),
inference(light_normalisation,[status(thm)],[c_24639,c_50,c_15277]) ).
cnf(c_53258,plain,
greatest_lower_bound(X0,inverse(negative_part(X0))) = greatest_lower_bound(X0,identity),
inference(superposition,[status(thm)],[c_20988,c_22150]) ).
cnf(c_53261,plain,
greatest_lower_bound(X0,inverse(negative_part(X0))) = negative_part(X0),
inference(light_normalisation,[status(thm)],[c_53258,c_53]) ).
cnf(c_53497,plain,
least_upper_bound(negative_part(inverse(negative_part(X0))),negative_part(X0)) = greatest_lower_bound(inverse(negative_part(X0)),positive_part(X0)),
inference(superposition,[status(thm)],[c_53261,c_12824]) ).
cnf(c_53625,plain,
least_upper_bound(negative_part(X0),negative_part(inverse(negative_part(X0)))) = greatest_lower_bound(positive_part(X0),inverse(negative_part(X0))),
inference(theory_normalisation,[status(thm)],[c_53497,c_60,c_58,c_59,c_57]) ).
cnf(c_53626,plain,
greatest_lower_bound(positive_part(X0),inverse(negative_part(X0))) = least_upper_bound(negative_part(X0),identity),
inference(light_normalisation,[status(thm)],[c_53625,c_9708]) ).
cnf(c_53627,plain,
greatest_lower_bound(positive_part(X0),inverse(negative_part(X0))) = least_upper_bound(identity,negative_part(X0)),
inference(theory_normalisation,[status(thm)],[c_53626,c_60,c_58,c_59,c_57]) ).
cnf(c_53628,plain,
greatest_lower_bound(positive_part(X0),inverse(negative_part(X0))) = identity,
inference(light_normalisation,[status(thm)],[c_53627,c_277]) ).
cnf(c_53815,plain,
greatest_lower_bound(X0,positive_part(inverse(X0))) = greatest_lower_bound(X0,identity),
inference(superposition,[status(thm)],[c_53628,c_22150]) ).
cnf(c_53825,plain,
greatest_lower_bound(X0,positive_part(inverse(X0))) = negative_part(X0),
inference(light_normalisation,[status(thm)],[c_53815,c_53]) ).
cnf(c_55545,plain,
greatest_lower_bound(inverse(X0),positive_part(X0)) = negative_part(inverse(X0)),
inference(superposition,[status(thm)],[c_50,c_53825]) ).
cnf(c_56114,plain,
least_upper_bound(negative_part(positive_part(X0)),negative_part(inverse(X0))) = greatest_lower_bound(positive_part(X0),positive_part(inverse(X0))),
inference(superposition,[status(thm)],[c_55545,c_12824]) ).
cnf(c_56174,plain,
least_upper_bound(negative_part(inverse(X0)),negative_part(positive_part(X0))) = greatest_lower_bound(positive_part(X0),positive_part(inverse(X0))),
inference(theory_normalisation,[status(thm)],[c_56114,c_60,c_58,c_59,c_57]) ).
cnf(c_56175,plain,
multiply(positive_part(X0),negative_part(inverse(X0))) = least_upper_bound(negative_part(inverse(X0)),identity),
inference(light_normalisation,[status(thm)],[c_56174,c_306,c_7061,c_24694]) ).
cnf(c_56176,plain,
multiply(positive_part(X0),negative_part(inverse(X0))) = least_upper_bound(identity,negative_part(inverse(X0))),
inference(theory_normalisation,[status(thm)],[c_56175,c_60,c_58,c_59,c_57]) ).
cnf(c_56177,plain,
multiply(positive_part(X0),negative_part(inverse(X0))) = identity,
inference(light_normalisation,[status(thm)],[c_56176,c_21332]) ).
cnf(c_56776,plain,
multiply(positive_part(X0),negative_part(inverse(inverse(X0)))) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_56177,c_5867]) ).
cnf(c_56790,plain,
multiply(positive_part(X0),negative_part(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_56776,c_50,c_604]) ).
cnf(c_56836,plain,
a != a,
inference(demodulation,[status(thm)],[c_56,c_56790]) ).
cnf(c_56837,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_56836]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP167-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n023.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
% 0.13/0.33 % DateTime : Mon Aug 28 19:56:10 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.45 Running UEQ theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 16.12/2.65 % SZS status Started for theBenchmark.p
% 16.12/2.65 % SZS status Unsatisfiable for theBenchmark.p
% 16.12/2.65
% 16.12/2.65 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 16.12/2.65
% 16.12/2.65 ------ iProver source info
% 16.12/2.65
% 16.12/2.65 git: date: 2023-05-31 18:12:56 +0000
% 16.12/2.65 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 16.12/2.65 git: non_committed_changes: false
% 16.12/2.65 git: last_make_outside_of_git: false
% 16.12/2.65
% 16.12/2.65 ------ Parsing...successful
% 16.12/2.65
% 16.12/2.65
% 16.12/2.65
% 16.12/2.65 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 16.12/2.65
% 16.12/2.65 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 16.12/2.65
% 16.12/2.65 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 16.12/2.65 ------ Proving...
% 16.12/2.65 ------ Problem Properties
% 16.12/2.65
% 16.12/2.65
% 16.12/2.65 clauses 23
% 16.12/2.65 conjectures 1
% 16.12/2.65 EPR 0
% 16.12/2.65 Horn 23
% 16.12/2.65 unary 23
% 16.12/2.65 binary 0
% 16.12/2.65 lits 23
% 16.12/2.65 lits eq 23
% 16.12/2.65 fd_pure 0
% 16.12/2.65 fd_pseudo 0
% 16.12/2.65 fd_cond 0
% 16.12/2.65 fd_pseudo_cond 0
% 16.12/2.65 AC symbols 2
% 16.12/2.65
% 16.12/2.65 ------ Input Options Time Limit: Unbounded
% 16.12/2.65
% 16.12/2.65
% 16.12/2.65 ------
% 16.12/2.65 Current options:
% 16.12/2.65 ------
% 16.12/2.65
% 16.12/2.65
% 16.12/2.65
% 16.12/2.65
% 16.12/2.65 ------ Proving...
% 16.12/2.65
% 16.12/2.65
% 16.12/2.65 % SZS status Unsatisfiable for theBenchmark.p
% 16.12/2.65
% 16.12/2.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 16.12/2.65
% 16.12/2.65
%------------------------------------------------------------------------------