TSTP Solution File: GRP114-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GRP114-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 00:57:34 EDT 2023

% Result   : Unsatisfiable 33.83s 8.18s
% Output   : CNFRefutation 33.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   20
% Syntax   : Number of clauses     :  126 ( 126 unt;   0 nHn;   4 RR)
%            Number of literals    :  126 ( 125 equ;   1 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   :  188 (  33 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    inverse(identity) = identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_of_identity) ).

cnf(c_50,plain,
    inverse(inverse(X0)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_involution) ).

cnf(c_51,plain,
    multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_product_lemma) ).

cnf(c_53,plain,
    union(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_idempotent) ).

cnf(c_54,plain,
    intersection(X0,X1) = intersection(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_commutative) ).

cnf(c_55,plain,
    union(X0,X1) = union(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_commutative) ).

cnf(c_56,plain,
    intersection(intersection(X0,X1),X2) = intersection(X0,intersection(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_associative) ).

cnf(c_57,plain,
    union(union(X0,X1),X2) = union(X0,union(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_associative) ).

cnf(c_58,plain,
    union(intersection(X0,X1),X1) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_intersection_absorbtion) ).

cnf(c_59,plain,
    intersection(union(X0,X1),X1) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_union_absorbtion) ).

cnf(c_60,plain,
    union(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,union(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_union1) ).

cnf(c_61,plain,
    intersection(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,intersection(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_intersection1) ).

cnf(c_62,plain,
    union(multiply(X0,X1),multiply(X2,X1)) = multiply(union(X0,X2),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_union2) ).

cnf(c_63,plain,
    intersection(multiply(X0,X1),multiply(X2,X1)) = multiply(intersection(X0,X2),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_intersection2) ).

cnf(c_64,plain,
    union(X0,identity) = positive_part(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',positive_part) ).

cnf(c_65,plain,
    intersection(X0,identity) = negative_part(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',negative_part) ).

cnf(c_66,negated_conjecture,
    multiply(positive_part(a),negative_part(a)) != a,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_product) ).

cnf(c_67,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_68,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_69,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_89,plain,
    union(X0,intersection(X1,X0)) = X0,
    inference(theory_normalisation,[status(thm)],[c_58,c_57,c_55,c_56,c_54]) ).

cnf(c_90,plain,
    intersection(X0,union(X1,X0)) = X0,
    inference(theory_normalisation,[status(thm)],[c_59,c_57,c_55,c_56,c_54]) ).

cnf(c_242,plain,
    positive_part(identity) = identity,
    inference(superposition,[status(thm)],[c_53,c_64]) ).

cnf(c_247,plain,
    union(identity,negative_part(X0)) = identity,
    inference(superposition,[status(thm)],[c_65,c_89]) ).

cnf(c_250,plain,
    multiply(X0,inverse(X0)) = identity,
    inference(superposition,[status(thm)],[c_50,c_68]) ).

cnf(c_256,plain,
    union(X0,intersection(X0,X1)) = X0,
    inference(superposition,[status(thm)],[c_54,c_89]) ).

cnf(c_257,plain,
    intersection(identity,X0) = negative_part(X0),
    inference(superposition,[status(thm)],[c_54,c_65]) ).

cnf(c_258,plain,
    union(identity,X0) = positive_part(X0),
    inference(superposition,[status(thm)],[c_64,c_55]) ).

cnf(c_262,plain,
    positive_part(negative_part(X0)) = identity,
    inference(demodulation,[status(thm)],[c_247,c_258]) ).

cnf(c_274,plain,
    union(X0,negative_part(X0)) = X0,
    inference(superposition,[status(thm)],[c_257,c_89]) ).

cnf(c_292,plain,
    intersection(X0,union(X0,X1)) = X0,
    inference(superposition,[status(thm)],[c_55,c_90]) ).

cnf(c_296,plain,
    intersection(X0,positive_part(X0)) = X0,
    inference(superposition,[status(thm)],[c_258,c_90]) ).

cnf(c_299,plain,
    negative_part(union(X0,identity)) = identity,
    inference(superposition,[status(thm)],[c_90,c_257]) ).

cnf(c_300,plain,
    negative_part(positive_part(X0)) = identity,
    inference(light_normalisation,[status(thm)],[c_299,c_64]) ).

cnf(c_312,plain,
    union(positive_part(X0),identity) = positive_part(X0),
    inference(superposition,[status(thm)],[c_300,c_274]) ).

cnf(c_314,plain,
    union(identity,positive_part(X0)) = positive_part(X0),
    inference(theory_normalisation,[status(thm)],[c_312,c_56,c_54,c_57,c_55]) ).

cnf(c_318,plain,
    intersection(negative_part(X0),identity) = negative_part(X0),
    inference(superposition,[status(thm)],[c_262,c_296]) ).

cnf(c_324,plain,
    intersection(identity,negative_part(X0)) = negative_part(X0),
    inference(theory_normalisation,[status(thm)],[c_318,c_56,c_54,c_57,c_55]) ).

cnf(c_366,plain,
    inverse(multiply(identity,X0)) = multiply(inverse(X0),identity),
    inference(superposition,[status(thm)],[c_49,c_51]) ).

cnf(c_374,plain,
    multiply(inverse(X0),identity) = inverse(X0),
    inference(light_normalisation,[status(thm)],[c_366,c_67]) ).

cnf(c_386,plain,
    intersection(X0,intersection(identity,X1)) = intersection(negative_part(X0),X1),
    inference(superposition,[status(thm)],[c_65,c_56]) ).

cnf(c_394,plain,
    union(X0,intersection(X1,intersection(X2,X0))) = X0,
    inference(superposition,[status(thm)],[c_56,c_89]) ).

cnf(c_448,plain,
    union(X0,union(identity,X1)) = union(positive_part(X0),X1),
    inference(superposition,[status(thm)],[c_64,c_57]) ).

cnf(c_455,plain,
    intersection(X0,union(X1,union(X2,X0))) = X0,
    inference(superposition,[status(thm)],[c_57,c_90]) ).

cnf(c_473,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_68,c_69]) ).

cnf(c_480,plain,
    positive_part(positive_part(X0)) = positive_part(X0),
    inference(demodulation,[status(thm)],[c_314,c_258]) ).

cnf(c_502,plain,
    negative_part(negative_part(X0)) = negative_part(X0),
    inference(demodulation,[status(thm)],[c_324,c_257]) ).

cnf(c_513,plain,
    multiply(X0,identity) = X0,
    inference(superposition,[status(thm)],[c_50,c_374]) ).

cnf(c_562,plain,
    union(positive_part(X0),intersection(X1,X0)) = positive_part(X0),
    inference(superposition,[status(thm)],[c_296,c_394]) ).

cnf(c_643,plain,
    multiply(inverse(X0),union(X0,X1)) = union(identity,multiply(inverse(X0),X1)),
    inference(superposition,[status(thm)],[c_68,c_60]) ).

cnf(c_646,plain,
    union(X0,multiply(X0,X1)) = multiply(X0,union(identity,X1)),
    inference(superposition,[status(thm)],[c_513,c_60]) ).

cnf(c_698,plain,
    intersection(X0,multiply(X0,X1)) = multiply(X0,intersection(identity,X1)),
    inference(superposition,[status(thm)],[c_513,c_61]) ).

cnf(c_772,plain,
    union(X0,multiply(X1,X0)) = multiply(union(identity,X1),X0),
    inference(superposition,[status(thm)],[c_67,c_62]) ).

cnf(c_856,plain,
    intersection(X0,multiply(X1,X0)) = multiply(intersection(identity,X1),X0),
    inference(superposition,[status(thm)],[c_67,c_63]) ).

cnf(c_1320,plain,
    intersection(X0,union(X1,union(X0,X2))) = X0,
    inference(superposition,[status(thm)],[c_55,c_455]) ).

cnf(c_2278,plain,
    intersection(negative_part(X0),X1) = intersection(X0,negative_part(X1)),
    inference(demodulation,[status(thm)],[c_386,c_257]) ).

cnf(c_2306,plain,
    union(negative_part(X0),intersection(X0,negative_part(X1))) = negative_part(X0),
    inference(superposition,[status(thm)],[c_2278,c_256]) ).

cnf(c_3410,plain,
    union(positive_part(X0),X1) = union(X0,positive_part(X1)),
    inference(demodulation,[status(thm)],[c_448,c_258]) ).

cnf(c_3415,plain,
    union(X0,positive_part(intersection(X1,X0))) = positive_part(X0),
    inference(demodulation,[status(thm)],[c_562,c_3410]) ).

cnf(c_4078,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_473,c_67]) ).

cnf(c_4080,plain,
    multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[status(thm)],[c_50,c_4078]) ).

cnf(c_4083,plain,
    multiply(inverse(inverse(X0)),inverse(multiply(X1,X0))) = inverse(X1),
    inference(superposition,[status(thm)],[c_51,c_4078]) ).

cnf(c_4105,plain,
    multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
    inference(light_normalisation,[status(thm)],[c_4083,c_50]) ).

cnf(c_7501,plain,
    union(X0,multiply(X0,X1)) = multiply(X0,positive_part(X1)),
    inference(demodulation,[status(thm)],[c_646,c_258]) ).

cnf(c_7508,plain,
    multiply(inverse(X0),positive_part(X0)) = union(inverse(X0),identity),
    inference(superposition,[status(thm)],[c_68,c_7501]) ).

cnf(c_7510,plain,
    multiply(X0,positive_part(inverse(X0))) = union(X0,identity),
    inference(superposition,[status(thm)],[c_250,c_7501]) ).

cnf(c_7514,plain,
    multiply(X0,positive_part(multiply(inverse(X0),X1))) = union(X0,X1),
    inference(superposition,[status(thm)],[c_4080,c_7501]) ).

cnf(c_7531,plain,
    intersection(X0,union(X1,multiply(X0,positive_part(X2)))) = X0,
    inference(superposition,[status(thm)],[c_7501,c_1320]) ).

cnf(c_7542,plain,
    multiply(X0,positive_part(inverse(X0))) = positive_part(X0),
    inference(light_normalisation,[status(thm)],[c_7510,c_64]) ).

cnf(c_7544,plain,
    multiply(inverse(X0),positive_part(X0)) = union(identity,inverse(X0)),
    inference(theory_normalisation,[status(thm)],[c_7508,c_56,c_54,c_57,c_55]) ).

cnf(c_7580,plain,
    multiply(inverse(X0),positive_part(X0)) = positive_part(inverse(X0)),
    inference(demodulation,[status(thm)],[c_7544,c_258]) ).

cnf(c_7599,plain,
    multiply(positive_part(X0),inverse(positive_part(inverse(X0)))) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_7580,c_4105]) ).

cnf(c_7610,plain,
    multiply(positive_part(X0),inverse(positive_part(inverse(X0)))) = X0,
    inference(light_normalisation,[status(thm)],[c_7599,c_50]) ).

cnf(c_8059,plain,
    intersection(X0,positive_part(multiply(X0,positive_part(X1)))) = X0,
    inference(superposition,[status(thm)],[c_258,c_7531]) ).

cnf(c_9561,plain,
    intersection(inverse(positive_part(X0)),positive_part(identity)) = inverse(positive_part(X0)),
    inference(superposition,[status(thm)],[c_68,c_8059]) ).

cnf(c_9600,plain,
    intersection(positive_part(identity),inverse(positive_part(X0))) = inverse(positive_part(X0)),
    inference(theory_normalisation,[status(thm)],[c_9561,c_56,c_54,c_57,c_55]) ).

cnf(c_9601,plain,
    intersection(identity,inverse(positive_part(X0))) = inverse(positive_part(X0)),
    inference(light_normalisation,[status(thm)],[c_9600,c_242]) ).

cnf(c_9759,plain,
    negative_part(inverse(positive_part(X0))) = inverse(positive_part(X0)),
    inference(demodulation,[status(thm)],[c_9601,c_257]) ).

cnf(c_9780,plain,
    union(negative_part(X0),intersection(X0,inverse(positive_part(X1)))) = negative_part(X0),
    inference(superposition,[status(thm)],[c_9759,c_2306]) ).

cnf(c_10097,plain,
    intersection(X0,multiply(X0,X1)) = multiply(X0,negative_part(X1)),
    inference(demodulation,[status(thm)],[c_698,c_257]) ).

cnf(c_10106,plain,
    multiply(X0,negative_part(inverse(X0))) = intersection(X0,identity),
    inference(superposition,[status(thm)],[c_250,c_10097]) ).

cnf(c_10142,plain,
    multiply(X0,negative_part(inverse(X0))) = negative_part(X0),
    inference(light_normalisation,[status(thm)],[c_10106,c_65]) ).

cnf(c_10655,plain,
    multiply(inverse(X0),negative_part(X0)) = negative_part(inverse(X0)),
    inference(superposition,[status(thm)],[c_10142,c_4078]) ).

cnf(c_11032,plain,
    union(X0,multiply(X1,X0)) = multiply(positive_part(X1),X0),
    inference(demodulation,[status(thm)],[c_772,c_258]) ).

cnf(c_11051,plain,
    multiply(positive_part(positive_part(X0)),inverse(positive_part(inverse(X0)))) = union(inverse(positive_part(inverse(X0))),X0),
    inference(superposition,[status(thm)],[c_7610,c_11032]) ).

cnf(c_11090,plain,
    multiply(positive_part(positive_part(X0)),inverse(positive_part(inverse(X0)))) = union(X0,inverse(positive_part(inverse(X0)))),
    inference(theory_normalisation,[status(thm)],[c_11051,c_56,c_54,c_57,c_55]) ).

cnf(c_11091,plain,
    union(X0,inverse(positive_part(inverse(X0)))) = X0,
    inference(light_normalisation,[status(thm)],[c_11090,c_480,c_7610]) ).

cnf(c_11369,plain,
    union(inverse(X0),inverse(positive_part(X0))) = inverse(X0),
    inference(superposition,[status(thm)],[c_50,c_11091]) ).

cnf(c_11384,plain,
    intersection(inverse(positive_part(inverse(X0))),X0) = inverse(positive_part(inverse(X0))),
    inference(superposition,[status(thm)],[c_11091,c_90]) ).

cnf(c_11404,plain,
    intersection(X0,inverse(positive_part(inverse(X0)))) = inverse(positive_part(inverse(X0))),
    inference(theory_normalisation,[status(thm)],[c_11384,c_56,c_54,c_57,c_55]) ).

cnf(c_11497,plain,
    multiply(negative_part(X0),inverse(negative_part(inverse(X0)))) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_10655,c_4105]) ).

cnf(c_11509,plain,
    multiply(negative_part(X0),inverse(negative_part(inverse(X0)))) = X0,
    inference(light_normalisation,[status(thm)],[c_11497,c_50]) ).

cnf(c_12029,plain,
    union(inverse(negative_part(X0)),inverse(identity)) = inverse(negative_part(X0)),
    inference(superposition,[status(thm)],[c_262,c_11369]) ).

cnf(c_12058,plain,
    union(inverse(identity),inverse(negative_part(X0))) = inverse(negative_part(X0)),
    inference(theory_normalisation,[status(thm)],[c_12029,c_56,c_54,c_57,c_55]) ).

cnf(c_12059,plain,
    union(identity,inverse(negative_part(X0))) = inverse(negative_part(X0)),
    inference(light_normalisation,[status(thm)],[c_12058,c_49]) ).

cnf(c_13000,plain,
    positive_part(inverse(negative_part(X0))) = inverse(negative_part(X0)),
    inference(demodulation,[status(thm)],[c_12059,c_258]) ).

cnf(c_13481,plain,
    intersection(X0,multiply(X1,X0)) = multiply(negative_part(X1),X0),
    inference(demodulation,[status(thm)],[c_856,c_257]) ).

cnf(c_13492,plain,
    multiply(negative_part(inverse(X0)),X0) = intersection(X0,identity),
    inference(superposition,[status(thm)],[c_68,c_13481]) ).

cnf(c_13510,plain,
    multiply(negative_part(negative_part(X0)),inverse(negative_part(inverse(X0)))) = intersection(inverse(negative_part(inverse(X0))),X0),
    inference(superposition,[status(thm)],[c_11509,c_13481]) ).

cnf(c_13542,plain,
    multiply(negative_part(inverse(X0)),X0) = negative_part(X0),
    inference(light_normalisation,[status(thm)],[c_13492,c_65]) ).

cnf(c_13562,plain,
    multiply(negative_part(negative_part(X0)),inverse(negative_part(inverse(X0)))) = intersection(X0,inverse(negative_part(inverse(X0)))),
    inference(theory_normalisation,[status(thm)],[c_13510,c_56,c_54,c_57,c_55]) ).

cnf(c_13563,plain,
    intersection(X0,inverse(negative_part(inverse(X0)))) = X0,
    inference(light_normalisation,[status(thm)],[c_13562,c_502,c_11509]) ).

cnf(c_13796,plain,
    multiply(inverse(negative_part(inverse(X0))),negative_part(X0)) = X0,
    inference(superposition,[status(thm)],[c_13542,c_4078]) ).

cnf(c_13804,plain,
    multiply(X0,inverse(negative_part(X0))) = inverse(negative_part(inverse(X0))),
    inference(superposition,[status(thm)],[c_13542,c_4105]) ).

cnf(c_14248,plain,
    intersection(inverse(X0),inverse(negative_part(X0))) = inverse(X0),
    inference(superposition,[status(thm)],[c_50,c_13563]) ).

cnf(c_14565,plain,
    multiply(inverse(X0),union(X0,X1)) = positive_part(multiply(inverse(X0),X1)),
    inference(demodulation,[status(thm)],[c_643,c_258]) ).

cnf(c_14579,plain,
    positive_part(multiply(inverse(X0),intersection(X1,X0))) = multiply(inverse(X0),X0),
    inference(superposition,[status(thm)],[c_89,c_14565]) ).

cnf(c_14640,plain,
    positive_part(multiply(inverse(X0),intersection(X1,X0))) = identity,
    inference(light_normalisation,[status(thm)],[c_14579,c_68]) ).

cnf(c_14874,plain,
    union(inverse(negative_part(X0)),positive_part(inverse(X0))) = positive_part(inverse(negative_part(X0))),
    inference(superposition,[status(thm)],[c_14248,c_3415]) ).

cnf(c_14888,plain,
    union(inverse(negative_part(X0)),positive_part(inverse(X0))) = inverse(negative_part(X0)),
    inference(light_normalisation,[status(thm)],[c_14874,c_13000]) ).

cnf(c_15118,plain,
    positive_part(multiply(inverse(union(X0,X1)),X0)) = identity,
    inference(superposition,[status(thm)],[c_292,c_14640]) ).

cnf(c_17665,plain,
    positive_part(multiply(inverse(multiply(positive_part(X0),X1)),X1)) = identity,
    inference(superposition,[status(thm)],[c_11032,c_15118]) ).

cnf(c_37673,plain,
    positive_part(multiply(inverse(inverse(X0)),inverse(multiply(X0,positive_part(X1))))) = identity,
    inference(superposition,[status(thm)],[c_4105,c_17665]) ).

cnf(c_37843,plain,
    positive_part(multiply(X0,inverse(multiply(X0,positive_part(X1))))) = identity,
    inference(light_normalisation,[status(thm)],[c_37673,c_50]) ).

cnf(c_61124,plain,
    positive_part(multiply(X0,inverse(union(X0,X1)))) = identity,
    inference(superposition,[status(thm)],[c_7514,c_37843]) ).

cnf(c_63025,plain,
    positive_part(multiply(X0,inverse(union(X1,X0)))) = identity,
    inference(superposition,[status(thm)],[c_55,c_61124]) ).

cnf(c_63657,plain,
    union(X0,inverse(union(X1,inverse(X0)))) = multiply(X0,identity),
    inference(superposition,[status(thm)],[c_63025,c_7514]) ).

cnf(c_63718,plain,
    union(X0,inverse(union(X1,inverse(X0)))) = X0,
    inference(light_normalisation,[status(thm)],[c_63657,c_513]) ).

cnf(c_122789,plain,
    union(negative_part(X0),inverse(positive_part(inverse(X0)))) = negative_part(X0),
    inference(superposition,[status(thm)],[c_11404,c_9780]) ).

cnf(c_123339,plain,
    union(positive_part(inverse(X0)),inverse(negative_part(X0))) = positive_part(inverse(X0)),
    inference(superposition,[status(thm)],[c_122789,c_63718]) ).

cnf(c_123359,plain,
    union(inverse(negative_part(X0)),positive_part(inverse(X0))) = positive_part(inverse(X0)),
    inference(theory_normalisation,[status(thm)],[c_123339,c_56,c_54,c_57,c_55]) ).

cnf(c_123360,plain,
    inverse(negative_part(X0)) = positive_part(inverse(X0)),
    inference(light_normalisation,[status(thm)],[c_123359,c_14888]) ).

cnf(c_123453,plain,
    multiply(X0,inverse(negative_part(X0))) = positive_part(X0),
    inference(demodulation,[status(thm)],[c_7542,c_123360]) ).

cnf(c_123475,plain,
    inverse(negative_part(inverse(X0))) = positive_part(X0),
    inference(light_normalisation,[status(thm)],[c_123453,c_13804]) ).

cnf(c_123485,plain,
    multiply(positive_part(X0),negative_part(X0)) = X0,
    inference(demodulation,[status(thm)],[c_13796,c_123475]) ).

cnf(c_123490,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_66,c_123485]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : GRP114-1 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.10  % Command  : run_iprover %s %d THM
% 0.07/0.31  % Computer : n026.cluster.edu
% 0.07/0.31  % Model    : x86_64 x86_64
% 0.07/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.31  % Memory   : 8042.1875MB
% 0.07/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.31  % CPULimit : 300
% 0.07/0.31  % WCLimit  : 300
% 0.07/0.31  % DateTime : Tue Aug 29 00:20:35 EDT 2023
% 0.07/0.31  % CPUTime  : 
% 0.12/0.41  Running UEQ theorem proving
% 0.12/0.41  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
% 33.83/8.18  % SZS status Started for theBenchmark.p
% 33.83/8.18  % SZS status Unsatisfiable for theBenchmark.p
% 33.83/8.18  
% 33.83/8.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 33.83/8.18  
% 33.83/8.18  ------  iProver source info
% 33.83/8.18  
% 33.83/8.18  git: date: 2023-05-31 18:12:56 +0000
% 33.83/8.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 33.83/8.18  git: non_committed_changes: false
% 33.83/8.18  git: last_make_outside_of_git: false
% 33.83/8.18  
% 33.83/8.18  ------ Parsing...successful
% 33.83/8.18  
% 33.83/8.18  
% 33.83/8.18  
% 33.83/8.18  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 33.83/8.18  
% 33.83/8.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 33.83/8.18  
% 33.83/8.18  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 33.83/8.18  ------ Proving...
% 33.83/8.18  ------ Problem Properties 
% 33.83/8.18  
% 33.83/8.18  
% 33.83/8.18  clauses                                 21
% 33.83/8.18  conjectures                             1
% 33.83/8.18  EPR                                     0
% 33.83/8.18  Horn                                    21
% 33.83/8.18  unary                                   21
% 33.83/8.18  binary                                  0
% 33.83/8.18  lits                                    21
% 33.83/8.18  lits eq                                 21
% 33.83/8.18  fd_pure                                 0
% 33.83/8.18  fd_pseudo                               0
% 33.83/8.18  fd_cond                                 0
% 33.83/8.18  fd_pseudo_cond                          0
% 33.83/8.18  AC symbols                              2
% 33.83/8.18  
% 33.83/8.18  ------ Input Options Time Limit: Unbounded
% 33.83/8.18  
% 33.83/8.18  
% 33.83/8.18  ------ 
% 33.83/8.18  Current options:
% 33.83/8.18  ------ 
% 33.83/8.18  
% 33.83/8.18  ------ Input Options
% 33.83/8.18  
% 33.83/8.18  --out_options                           all
% 33.83/8.18  --tptp_safe_out                         true
% 33.83/8.18  --problem_path                          ""
% 33.83/8.18  --include_path                          ""
% 33.83/8.18  --clausifier                            res/vclausify_rel
% 33.83/8.18  --clausifier_options                    --mode clausify -t 305.00 
% 33.83/8.18  --stdin                                 false
% 33.83/8.18  --proof_out                             true
% 33.83/8.18  --proof_dot_file                        ""
% 33.83/8.18  --proof_reduce_dot                      []
% 33.83/8.18  --suppress_sat_res                      true
% 33.83/8.18  --suppress_unsat_res                    false
% 33.83/8.18  --stats_out                             all
% 33.83/8.18  --stats_mem                             false
% 33.83/8.18  --theory_stats_out                      false
% 33.83/8.18  
% 33.83/8.18  ------ General Options
% 33.83/8.18  
% 33.83/8.18  --fof                                   false
% 33.83/8.18  --time_out_real                         305.
% 33.83/8.18  --time_out_virtual                      -1.
% 33.83/8.18  --rnd_seed                              13
% 33.83/8.18  --symbol_type_check                     false
% 33.83/8.18  --clausify_out                          false
% 33.83/8.18  --sig_cnt_out                           false
% 33.83/8.18  --trig_cnt_out                          false
% 33.83/8.18  --trig_cnt_out_tolerance                1.
% 33.83/8.18  --trig_cnt_out_sk_spl                   false
% 33.83/8.18  --abstr_cl_out                          false
% 33.83/8.18  
% 33.83/8.18  ------ Interactive Mode
% 33.83/8.18  
% 33.83/8.18  --interactive_mode                      false
% 33.83/8.18  --external_ip_address                   ""
% 33.83/8.18  --external_port                         0
% 33.83/8.18  
% 33.83/8.18  ------ Global Options
% 33.83/8.18  
% 33.83/8.18  --schedule                              none
% 33.83/8.18  --add_important_lit                     false
% 33.83/8.18  --prop_solver_per_cl                    500
% 33.83/8.18  --subs_bck_mult                         8
% 33.83/8.18  --min_unsat_core                        false
% 33.83/8.18  --soft_assumptions                      false
% 33.83/8.18  --soft_lemma_size                       3
% 33.83/8.18  --prop_impl_unit_size                   0
% 33.83/8.18  --prop_impl_unit                        []
% 33.83/8.18  --share_sel_clauses                     true
% 33.83/8.18  --reset_solvers                         false
% 33.83/8.18  --bc_imp_inh                            [conj_cone]
% 33.83/8.18  --conj_cone_tolerance                   3.
% 33.83/8.18  --extra_neg_conj                        none
% 33.83/8.18  --large_theory_mode                     true
% 33.83/8.18  --prolific_symb_bound                   200
% 33.83/8.18  --lt_threshold                          2000
% 33.83/8.18  --clause_weak_htbl                      true
% 33.83/8.18  --gc_record_bc_elim                     false
% 33.83/8.18  
% 33.83/8.18  ------ Preprocessing Options
% 33.83/8.18  
% 33.83/8.18  --preprocessing_flag                    true
% 33.83/8.18  --time_out_prep_mult                    0.1
% 33.83/8.18  --splitting_mode                        input
% 33.83/8.18  --splitting_grd                         true
% 33.83/8.18  --splitting_cvd                         false
% 33.83/8.18  --splitting_cvd_svl                     false
% 33.83/8.18  --splitting_nvd                         32
% 33.83/8.18  --sub_typing                            false
% 33.83/8.18  --prep_gs_sim                           true
% 33.83/8.18  --prep_unflatten                        true
% 33.83/8.18  --prep_res_sim                          true
% 33.83/8.18  --prep_sup_sim_all                      true
% 33.83/8.18  --prep_sup_sim_sup                      false
% 33.83/8.18  --prep_upred                            true
% 33.83/8.18  --prep_well_definedness                 true
% 33.83/8.18  --prep_sem_filter                       exhaustive
% 33.83/8.18  --prep_sem_filter_out                   false
% 33.83/8.18  --pred_elim                             true
% 33.83/8.18  --res_sim_input                         true
% 33.83/8.18  --eq_ax_congr_red                       true
% 33.83/8.18  --pure_diseq_elim                       true
% 33.83/8.18  --brand_transform                       false
% 33.83/8.18  --non_eq_to_eq                          false
% 33.83/8.18  --prep_def_merge                        true
% 33.83/8.18  --prep_def_merge_prop_impl              false
% 33.83/8.18  --prep_def_merge_mbd                    true
% 33.83/8.18  --prep_def_merge_tr_red                 false
% 33.83/8.18  --prep_def_merge_tr_cl                  false
% 33.83/8.18  --smt_preprocessing                     false
% 33.83/8.18  --smt_ac_axioms                         fast
% 33.83/8.18  --preprocessed_out                      false
% 33.83/8.18  --preprocessed_stats                    false
% 33.83/8.18  
% 33.83/8.18  ------ Abstraction refinement Options
% 33.83/8.18  
% 33.83/8.18  --abstr_ref                             []
% 33.83/8.18  --abstr_ref_prep                        false
% 33.83/8.18  --abstr_ref_until_sat                   false
% 33.83/8.18  --abstr_ref_sig_restrict                funpre
% 33.83/8.18  --abstr_ref_af_restrict_to_split_sk     false
% 33.83/8.18  --abstr_ref_under                       []
% 33.83/8.18  
% 33.83/8.18  ------ SAT Options
% 33.83/8.18  
% 33.83/8.18  --sat_mode                              false
% 33.83/8.18  --sat_fm_restart_options                ""
% 33.83/8.18  --sat_gr_def                            false
% 33.83/8.18  --sat_epr_types                         true
% 33.83/8.18  --sat_non_cyclic_types                  false
% 33.83/8.18  --sat_finite_models                     false
% 33.83/8.18  --sat_fm_lemmas                         false
% 33.83/8.18  --sat_fm_prep                           false
% 33.83/8.18  --sat_fm_uc_incr                        true
% 33.83/8.18  --sat_out_model                         small
% 33.83/8.18  --sat_out_clauses                       false
% 33.83/8.18  
% 33.83/8.18  ------ QBF Options
% 33.83/8.18  
% 33.83/8.18  --qbf_mode                              false
% 33.83/8.18  --qbf_elim_univ                         false
% 33.83/8.18  --qbf_dom_inst                          none
% 33.83/8.18  --qbf_dom_pre_inst                      false
% 33.83/8.18  --qbf_sk_in                             false
% 33.83/8.18  --qbf_pred_elim                         true
% 33.83/8.18  --qbf_split                             512
% 33.83/8.18  
% 33.83/8.18  ------ BMC1 Options
% 33.83/8.18  
% 33.83/8.18  --bmc1_incremental                      false
% 33.83/8.18  --bmc1_axioms                           reachable_all
% 33.83/8.18  --bmc1_min_bound                        0
% 33.83/8.18  --bmc1_max_bound                        -1
% 33.83/8.18  --bmc1_max_bound_default                -1
% 33.83/8.18  --bmc1_symbol_reachability              true
% 33.83/8.18  --bmc1_property_lemmas                  false
% 33.83/8.18  --bmc1_k_induction                      false
% 33.83/8.18  --bmc1_non_equiv_states                 false
% 33.83/8.18  --bmc1_deadlock                         false
% 33.83/8.18  --bmc1_ucm                              false
% 33.83/8.18  --bmc1_add_unsat_core                   none
% 33.83/8.18  --bmc1_unsat_core_children              false
% 33.83/8.18  --bmc1_unsat_core_extrapolate_axioms    false
% 33.83/8.18  --bmc1_out_stat                         full
% 33.83/8.18  --bmc1_ground_init                      false
% 33.83/8.18  --bmc1_pre_inst_next_state              false
% 33.83/8.18  --bmc1_pre_inst_state                   false
% 33.83/8.18  --bmc1_pre_inst_reach_state             false
% 33.83/8.18  --bmc1_out_unsat_core                   false
% 33.83/8.18  --bmc1_aig_witness_out                  false
% 33.83/8.18  --bmc1_verbose                          false
% 33.83/8.18  --bmc1_dump_clauses_tptp                false
% 33.83/8.18  --bmc1_dump_unsat_core_tptp             false
% 33.83/8.18  --bmc1_dump_file                        -
% 33.83/8.18  --bmc1_ucm_expand_uc_limit              128
% 33.83/8.18  --bmc1_ucm_n_expand_iterations          6
% 33.83/8.18  --bmc1_ucm_extend_mode                  1
% 33.83/8.18  --bmc1_ucm_init_mode                    2
% 33.83/8.18  --bmc1_ucm_cone_mode                    none
% 33.83/8.18  --bmc1_ucm_reduced_relation_type        0
% 33.83/8.18  --bmc1_ucm_relax_model                  4
% 33.83/8.18  --bmc1_ucm_full_tr_after_sat            true
% 33.83/8.18  --bmc1_ucm_expand_neg_assumptions       false
% 33.83/8.18  --bmc1_ucm_layered_model                none
% 33.83/8.18  --bmc1_ucm_max_lemma_size               10
% 33.83/8.18  
% 33.83/8.18  ------ AIG Options
% 33.83/8.18  
% 33.83/8.18  --aig_mode                              false
% 33.83/8.18  
% 33.83/8.18  ------ Instantiation Options
% 33.83/8.18  
% 33.83/8.18  --instantiation_flag                    true
% 33.83/8.18  --inst_sos_flag                         false
% 33.83/8.18  --inst_sos_phase                        true
% 33.83/8.18  --inst_sos_sth_lit_sel                  [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 33.83/8.18  --inst_lit_sel                          [+prop;+sign;+ground;-num_var;-num_symb]
% 33.83/8.18  --inst_lit_sel_side                     num_symb
% 33.83/8.18  --inst_solver_per_active                1400
% 33.83/8.18  --inst_solver_calls_frac                1.
% 33.83/8.18  --inst_to_smt_solver                    true
% 33.83/8.18  --inst_passive_queue_type               priority_queues
% 33.83/8.18  --inst_passive_queues                   [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 33.83/8.18  --inst_passive_queues_freq              [25;2]
% 33.83/8.18  --inst_dismatching                      true
% 33.83/8.18  --inst_eager_unprocessed_to_passive     true
% 33.83/8.18  --inst_unprocessed_bound                1000
% 33.83/8.18  --inst_prop_sim_given                   true
% 33.83/8.18  --inst_prop_sim_new                     false
% 33.83/8.18  --inst_subs_new                         false
% 33.83/8.18  --inst_eq_res_simp                      false
% 33.83/8.18  --inst_subs_given                       false
% 33.83/8.18  --inst_orphan_elimination               true
% 33.83/8.18  --inst_learning_loop_flag               true
% 33.83/8.18  --inst_learning_start                   3000
% 33.83/8.18  --inst_learning_factor                  2
% 33.83/8.18  --inst_start_prop_sim_after_learn       3
% 33.83/8.18  --inst_sel_renew                        solver
% 33.83/8.18  --inst_lit_activity_flag                true
% 33.83/8.18  --inst_restr_to_given                   false
% 33.83/8.18  --inst_activity_threshold               500
% 33.83/8.18  
% 33.83/8.18  ------ Resolution Options
% 33.83/8.18  
% 33.83/8.18  --resolution_flag                       true
% 33.83/8.18  --res_lit_sel                           adaptive
% 33.83/8.18  --res_lit_sel_side                      none
% 33.83/8.18  --res_ordering                          kbo
% 33.83/8.18  --res_to_prop_solver                    active
% 33.83/8.18  --res_prop_simpl_new                    false
% 33.83/8.18  --res_prop_simpl_given                  true
% 33.83/8.18  --res_to_smt_solver                     true
% 33.83/8.18  --res_passive_queue_type                priority_queues
% 33.83/8.18  --res_passive_queues                    [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 33.83/8.18  --res_passive_queues_freq               [15;5]
% 33.83/8.18  --res_forward_subs                      full
% 33.83/8.18  --res_backward_subs                     full
% 33.83/8.18  --res_forward_subs_resolution           true
% 33.83/8.18  --res_backward_subs_resolution          true
% 33.83/8.18  --res_orphan_elimination                true
% 33.83/8.18  --res_time_limit                        300.
% 33.83/8.18  
% 33.83/8.18  ------ Superposition Options
% 33.83/8.18  
% 33.83/8.18  --superposition_flag                    true
% 33.83/8.18  --sup_passive_queue_type                priority_queues
% 33.83/8.18  --sup_passive_queues                    [[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]]
% 33.83/8.18  --sup_passive_queues_freq               [8;1;4;4]
% 33.83/8.18  --demod_completeness_check              fast
% 33.83/8.18  --demod_use_ground                      true
% 33.83/8.18  --sup_unprocessed_bound                 0
% 33.83/8.18  --sup_to_prop_solver                    passive
% 33.83/8.18  --sup_prop_simpl_new                    true
% 33.83/8.18  --sup_prop_simpl_given                  true
% 33.83/8.18  --sup_fun_splitting                     false
% 33.83/8.18  --sup_iter_deepening                    2
% 33.83/8.18  --sup_restarts_mult                     12
% 33.83/8.18  --sup_score                             sim_d_gen
% 33.83/8.18  --sup_share_score_frac                  0.2
% 33.83/8.18  --sup_share_max_num_cl                  500
% 33.83/8.18  --sup_ordering                          kbo
% 33.83/8.18  --sup_symb_ordering                     invfreq
% 33.83/8.18  --sup_term_weight                       default
% 33.83/8.18  
% 33.83/8.18  ------ Superposition Simplification Setup
% 33.83/8.18  
% 33.83/8.18  --sup_indices_passive                   [LightNormIndex;FwDemodIndex]
% 33.83/8.18  --sup_full_triv                         [SMTSimplify;PropSubs]
% 33.83/8.18  --sup_full_fw                           [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 33.83/8.18  --sup_full_bw                           [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 33.83/8.18  --sup_immed_triv                        []
% 33.83/8.18  --sup_immed_fw_main                     [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 33.83/8.18  --sup_immed_fw_immed                    [ACNormalisation;FwUnitSubsAndRes]
% 33.83/8.18  --sup_immed_bw_main                     [BwUnitSubsAndRes;BwDemod]
% 33.83/8.18  --sup_immed_bw_immed                    [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 33.83/8.18  --sup_input_triv                        [Unflattening;SMTSimplify]
% 33.83/8.18  --sup_input_fw                          [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 33.83/8.18  --sup_input_bw                          [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 33.83/8.18  --sup_full_fixpoint                     true
% 33.83/8.18  --sup_main_fixpoint                     true
% 33.83/8.18  --sup_immed_fixpoint                    false
% 33.83/8.18  --sup_input_fixpoint                    true
% 33.83/8.18  --sup_cache_sim                         none
% 33.83/8.18  --sup_smt_interval                      500
% 33.83/8.18  --sup_bw_gjoin_interval                 0
% 33.83/8.18  
% 33.83/8.18  ------ Combination Options
% 33.83/8.18  
% 33.83/8.18  --comb_mode                             clause_based
% 33.83/8.18  --comb_inst_mult                        5
% 33.83/8.18  --comb_res_mult                         1
% 33.83/8.18  --comb_sup_mult                         8
% 33.83/8.18  --comb_sup_deep_mult                    2
% 33.83/8.18  
% 33.83/8.18  ------ Debug Options
% 33.83/8.18  
% 33.83/8.18  --dbg_backtrace                         false
% 33.83/8.18  --dbg_dump_prop_clauses                 false
% 33.83/8.18  --dbg_dump_prop_clauses_file            -
% 33.83/8.18  --dbg_out_stat                          false
% 33.83/8.18  --dbg_just_parse                        false
% 33.83/8.18  
% 33.83/8.18  
% 33.83/8.18  
% 33.83/8.18  
% 33.83/8.18  ------ Proving...
% 33.83/8.18  
% 33.83/8.18  
% 33.83/8.18  % SZS status Unsatisfiable for theBenchmark.p
% 33.83/8.18  
% 33.83/8.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 33.83/8.18  
% 33.83/8.18  ------                               Statistics
% 33.83/8.18  
% 33.83/8.18  ------ Problem properties
% 33.83/8.18  
% 33.83/8.18  clauses:                                21
% 33.83/8.18  conjectures:                            1
% 33.83/8.18  epr:                                    0
% 33.83/8.18  horn:                                   21
% 33.83/8.18  ground:                                 2
% 33.83/8.18  unary:                                  21
% 33.83/8.18  binary:                                 0
% 33.83/8.18  lits:                                   21
% 33.83/8.18  lits_eq:                                21
% 33.83/8.18  fd_pure:                                0
% 33.83/8.18  fd_pseudo:                              0
% 33.83/8.18  fd_cond:                                0
% 33.83/8.18  fd_pseudo_cond:                         0
% 33.83/8.18  ac_symbols:                             2
% 33.83/8.18  
% 33.83/8.18  ------ General
% 33.83/8.18  
% 33.83/8.18  abstr_ref_over_cycles:                  0
% 33.83/8.18  abstr_ref_under_cycles:                 0
% 33.83/8.18  gc_basic_clause_elim:                   0
% 33.83/8.18  num_of_symbols:                         104
% 33.83/8.18  num_of_terms:                           210688
% 33.83/8.18  
% 33.83/8.18  parsing_time:                           0.
% 33.83/8.18  unif_index_cands_time:                  0.414
% 33.83/8.18  unif_index_add_time:                    0.036
% 33.83/8.18  orderings_time:                         0.092
% 33.83/8.18  out_proof_time:                         0.003
% 33.83/8.18  total_time:                             7.415
% 33.83/8.18  
% 33.83/8.18  ------ Preprocessing
% 33.83/8.18  
% 33.83/8.18  num_of_splits:                          0
% 33.83/8.18  num_of_split_atoms:                     0
% 33.83/8.18  num_of_reused_defs:                     0
% 33.83/8.18  num_eq_ax_congr_red:                    0
% 33.83/8.18  num_of_sem_filtered_clauses:            0
% 33.83/8.18  num_of_subtypes:                        0
% 33.83/8.18  monotx_restored_types:                  0
% 33.83/8.18  sat_num_of_epr_types:                   0
% 33.83/8.18  sat_num_of_non_cyclic_types:            0
% 33.83/8.18  sat_guarded_non_collapsed_types:        0
% 33.83/8.18  num_pure_diseq_elim:                    0
% 33.83/8.18  simp_replaced_by:                       0
% 33.83/8.18  res_preprocessed:                       0
% 33.83/8.18  sup_preprocessed:                       0
% 33.83/8.18  prep_upred:                             0
% 33.83/8.18  prep_unflattend:                        0
% 33.83/8.18  prep_well_definedness:                  0
% 33.83/8.18  smt_new_axioms:                         0
% 33.83/8.18  pred_elim_cands:                        0
% 33.83/8.18  pred_elim:                              0
% 33.83/8.18  pred_elim_cl:                           0
% 33.83/8.18  pred_elim_cycles:                       0
% 33.83/8.18  merged_defs:                            0
% 33.83/8.18  merged_defs_ncl:                        0
% 33.83/8.18  bin_hyper_res:                          0
% 33.83/8.18  prep_cycles:                            2
% 33.83/8.18  
% 33.83/8.18  splitting_time:                         0.
% 33.83/8.18  sem_filter_time:                        0.
% 33.83/8.18  monotx_time:                            0.
% 33.83/8.18  subtype_inf_time:                       0.
% 33.83/8.18  res_prep_time:                          0.001
% 33.83/8.18  sup_prep_time:                          0.001
% 33.83/8.18  pred_elim_time:                         0.
% 33.83/8.18  bin_hyper_res_time:                     0.
% 33.83/8.18  prep_time_total:                        0.004
% 33.83/8.18  
% 33.83/8.18  ------ Propositional Solver
% 33.83/8.18  
% 33.83/8.18  prop_solver_calls:                      89
% 33.83/8.18  prop_fast_solver_calls:                 2493
% 33.83/8.18  smt_solver_calls:                       1
% 33.83/8.18  smt_fast_solver_calls:                  0
% 33.83/8.18  prop_num_of_clauses:                    44216
% 33.83/8.18  prop_preprocess_simplified:             39589
% 33.83/8.18  prop_fo_subsumed:                       0
% 33.83/8.18  
% 33.83/8.18  prop_solver_time:                       0.074
% 33.83/8.18  prop_fast_solver_time:                  0.003
% 33.83/8.18  prop_unsat_core_time:                   0.
% 33.83/8.18  smt_solver_time:                        0.109
% 33.83/8.18  smt_fast_solver_time:                   0.
% 33.83/8.18  
% 33.83/8.18  ------ QBF
% 33.83/8.18  
% 33.83/8.18  qbf_q_res:                              0
% 33.83/8.18  qbf_num_tautologies:                    0
% 33.83/8.18  qbf_prep_cycles:                        0
% 33.83/8.18  
% 33.83/8.18  ------ BMC1
% 33.83/8.18  
% 33.83/8.18  bmc1_current_bound:                     -1
% 33.83/8.18  bmc1_last_solved_bound:                 -1
% 33.83/8.18  bmc1_unsat_core_size:                   -1
% 33.83/8.18  bmc1_unsat_core_parents_size:           -1
% 33.83/8.18  bmc1_merge_next_fun:                    0
% 33.83/8.18  
% 33.83/8.18  bmc1_unsat_core_clauses_time:           0.
% 33.83/8.18  
% 33.83/8.18  ------ Instantiation
% 33.83/8.18  
% 33.83/8.18  inst_num_of_clauses:                    8286
% 33.83/8.18  inst_num_in_passive:                    5555
% 33.83/8.18  inst_num_in_active:                     1943
% 33.83/8.18  inst_num_of_loops:                      2195
% 33.83/8.18  inst_num_in_unprocessed:                788
% 33.83/8.18  inst_num_of_learning_restarts:          0
% 33.83/8.18  inst_num_moves_active_passive:          244
% 33.83/8.18  inst_lit_activity:                      0
% 33.83/8.18  inst_lit_activity_moves:                2
% 33.83/8.18  inst_num_tautologies:                   0
% 33.83/8.18  inst_num_prop_implied:                  0
% 33.83/8.18  inst_num_existing_simplified:           0
% 33.83/8.18  inst_num_eq_res_simplified:             0
% 33.83/8.18  inst_num_child_elim:                    0
% 33.83/8.18  inst_num_of_dismatching_blockings:      2307
% 33.83/8.18  inst_num_of_non_proper_insts:           4796
% 33.83/8.18  inst_num_of_duplicates:                 0
% 33.83/8.18  inst_inst_num_from_inst_to_res:         0
% 33.83/8.18  
% 33.83/8.18  inst_time_sim_new:                      0.567
% 33.83/8.18  inst_time_sim_given:                    0.
% 33.83/8.18  inst_time_dismatching_checking:         0.656
% 33.83/8.18  inst_time_total:                        1.966
% 33.83/8.18  
% 33.83/8.18  ------ Resolution
% 33.83/8.18  
% 33.83/8.18  res_num_of_clauses:                     1643
% 33.83/8.18  res_num_in_passive:                     1312
% 33.83/8.18  res_num_in_active:                      331
% 33.83/8.18  res_num_of_loops:                       404
% 33.83/8.18  res_forward_subset_subsumed:            4357
% 33.83/8.18  res_backward_subset_subsumed:           0
% 33.83/8.18  res_forward_subsumed:                   20
% 33.83/8.18  res_backward_subsumed:                  0
% 33.83/8.18  res_forward_subsumption_resolution:     0
% 33.83/8.18  res_backward_subsumption_resolution:    0
% 33.83/8.18  res_clause_to_clause_subsumption:       6437
% 33.83/8.18  res_subs_bck_cnt:                       3
% 33.83/8.18  res_orphan_elimination:                 0
% 33.83/8.18  res_tautology_del:                      471
% 33.83/8.18  res_num_eq_res_simplified:              0
% 33.83/8.18  res_num_sel_changes:                    101
% 33.83/8.18  res_moves_from_active_to_pass:          1
% 33.83/8.18  
% 33.83/8.18  res_time_sim_new:                       0.101
% 33.83/8.18  res_time_sim_fw_given:                  0.016
% 33.83/8.18  res_time_sim_bw_given:                  0.034
% 33.83/8.18  res_time_total:                         0.224
% 33.83/8.18  
% 33.83/8.18  ------ Superposition
% 33.83/8.18  
% 33.83/8.18  sup_num_of_clauses:                     3293
% 33.83/8.18  sup_num_in_active:                      187
% 33.83/8.18  sup_num_in_passive:                     3106
% 33.83/8.18  sup_num_of_loops:                       799
% 33.83/8.18  sup_fw_superposition:                   28552
% 33.83/8.18  sup_bw_superposition:                   22923
% 33.83/8.18  sup_eq_factoring:                       0
% 33.83/8.18  sup_eq_resolution:                      0
% 33.83/8.18  sup_immediate_simplified:               14
% 33.83/8.18  sup_given_eliminated:                   4
% 33.83/8.18  comparisons_done:                       101736
% 33.83/8.18  comparisons_avoided:                    0
% 33.83/8.18  comparisons_inc_criteria:               0
% 33.83/8.18  sup_deep_cl_discarded:                  0
% 33.83/8.18  sup_num_of_deepenings:                  0
% 33.83/8.18  sup_num_of_restarts:                    2
% 33.83/8.18  
% 33.83/8.18  sup_time_generating:                    1.348
% 33.83/8.18  sup_time_sim_fw_full:                   0.159
% 33.83/8.18  sup_time_sim_bw_full:                   0.129
% 33.83/8.18  sup_time_sim_fw_immed:                  0.98
% 33.83/8.18  sup_time_sim_bw_immed:                  0.263
% 33.83/8.18  sup_time_prep_sim_fw_input:             0.
% 33.83/8.18  sup_time_prep_sim_bw_input:             0.
% 33.83/8.18  sup_time_total:                         4.989
% 33.83/8.18  
% 33.83/8.18  ------ Simplifications
% 33.83/8.18  
% 33.83/8.18  sim_repeated:                           18384
% 33.83/8.18  sim_fw_subset_subsumed:                 0
% 33.83/8.18  sim_bw_subset_subsumed:                 0
% 33.83/8.18  sim_fw_subsumed:                        0
% 33.83/8.18  sim_bw_subsumed:                        0
% 33.83/8.18  sim_fw_subsumption_res:                 0
% 33.83/8.18  sim_bw_subsumption_res:                 0
% 33.83/8.18  sim_fw_unit_subs:                       0
% 33.83/8.18  sim_bw_unit_subs:                       24
% 33.83/8.18  sim_tautology_del:                      0
% 33.83/8.18  sim_eq_tautology_del:                   7092
% 33.83/8.18  sim_eq_res_simp:                        0
% 33.83/8.18  sim_fw_demodulated:                     129
% 33.83/8.18  sim_bw_demodulated:                     82
% 33.83/8.18  sim_encompassment_demod:                0
% 33.83/8.18  sim_light_normalised:                   15330
% 33.83/8.18  sim_ac_normalised:                      7115
% 33.83/8.18  sim_joinable_taut:                      144
% 33.83/8.18  sim_joinable_simp:                      0
% 33.83/8.18  sim_fw_ac_demod:                        0
% 33.83/8.18  sim_bw_ac_demod:                        0
% 33.83/8.18  sim_smt_subsumption:                    0
% 33.83/8.18  sim_smt_simplified:                     0
% 33.83/8.18  sim_ground_joinable:                    69
% 33.83/8.18  sim_bw_ground_joinable:                 0
% 33.83/8.18  sim_connectedness:                      0
% 33.83/8.18  
% 33.83/8.18  sim_time_fw_subset_subs:                0.041
% 33.83/8.18  sim_time_bw_subset_subs:                0.035
% 33.83/8.18  sim_time_fw_subs:                       0.
% 33.83/8.18  sim_time_bw_subs:                       0.
% 33.83/8.18  sim_time_fw_subs_res:                   0.
% 33.83/8.18  sim_time_bw_subs_res:                   0.
% 33.83/8.18  sim_time_fw_unit_subs:                  0.226
% 33.83/8.18  sim_time_bw_unit_subs:                  0.134
% 33.83/8.18  sim_time_tautology_del:                 0.022
% 33.83/8.18  sim_time_eq_tautology_del:              0.008
% 33.83/8.18  sim_time_eq_res_simp:                   0.019
% 33.83/8.18  sim_time_fw_demod:                      0.082
% 33.83/8.18  sim_time_bw_demod:                      0.064
% 33.83/8.18  sim_time_light_norm:                    0.378
% 33.83/8.18  sim_time_joinable:                      0.
% 33.83/8.18  sim_time_ac_norm:                       0.277
% 33.83/8.18  sim_time_fw_ac_demod:                   0.
% 33.83/8.18  sim_time_bw_ac_demod:                   0.
% 33.83/8.18  sim_time_smt_subs:                      0.
% 33.83/8.18  sim_time_fw_gjoin:                      0.043
% 33.83/8.18  sim_time_fw_connected:                  0.
% 33.83/8.18  
% 33.83/8.18  
%------------------------------------------------------------------------------