TSTP Solution File: BOO015-2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : BOO015-2 : TPTP v8.1.2. Bugfixed v1.0.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 : Wed Aug 30 18:09:09 EDT 2023

% Result   : Unsatisfiable 12.03s 2.12s
% Output   : CNFRefutation 12.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   15
% Syntax   : Number of clauses     :  134 ( 134 unt;   0 nHn;  40 RR)
%            Number of literals    :  134 ( 133 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :  142 (  24 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    multiply(a,b) = c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).

cnf(c_50,plain,
    add(inverse(a),inverse(b)) = d,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_inverse_plus_b_inverse_is_d) ).

cnf(c_51,negated_conjecture,
    inverse(c) != d,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_inverse_is_d) ).

cnf(c_52,plain,
    add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',commutativity_of_add) ).

cnf(c_53,plain,
    multiply(X0,X1) = multiply(X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',commutativity_of_multiply) ).

cnf(c_54,plain,
    multiply(add(X0,X1),add(X2,X1)) = add(multiply(X0,X2),X1),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',distributivity1) ).

cnf(c_55,plain,
    multiply(add(X0,X1),add(X0,X2)) = add(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',distributivity2) ).

cnf(c_56,plain,
    add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',distributivity3) ).

cnf(c_57,plain,
    add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',distributivity4) ).

cnf(c_58,plain,
    add(X0,inverse(X0)) = multiplicative_identity,
    file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',additive_inverse1) ).

cnf(c_60,plain,
    multiply(X0,inverse(X0)) = additive_identity,
    file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',multiplicative_inverse1) ).

cnf(c_62,plain,
    multiply(X0,multiplicative_identity) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',multiplicative_id1) ).

cnf(c_63,plain,
    multiply(multiplicative_identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',multiplicative_id2) ).

cnf(c_64,plain,
    add(X0,additive_identity) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',additive_id1) ).

cnf(c_65,plain,
    add(additive_identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',additive_id2) ).

cnf(c_243,plain,
    add(multiply(X0,X1),inverse(X0)) = multiply(multiplicative_identity,add(X1,inverse(X0))),
    inference(superposition,[status(thm)],[c_58,c_54]) ).

cnf(c_244,plain,
    multiply(X0,add(X1,additive_identity)) = add(multiply(X0,X1),additive_identity),
    inference(superposition,[status(thm)],[c_64,c_54]) ).

cnf(c_245,plain,
    multiply(X0,add(X1,X0)) = add(multiply(additive_identity,X1),X0),
    inference(superposition,[status(thm)],[c_65,c_54]) ).

cnf(c_264,plain,
    multiply(X0,add(X0,X1)) = add(multiply(additive_identity,X1),X0),
    inference(superposition,[status(thm)],[c_52,c_245]) ).

cnf(c_267,plain,
    add(multiply(additive_identity,additive_identity),X0) = multiply(X0,X0),
    inference(superposition,[status(thm)],[c_65,c_245]) ).

cnf(c_272,plain,
    multiply(X0,add(X1,X0)) = add(multiply(X1,additive_identity),X0),
    inference(superposition,[status(thm)],[c_53,c_245]) ).

cnf(c_275,plain,
    multiply(X0,add(multiplicative_identity,X0)) = add(additive_identity,X0),
    inference(superposition,[status(thm)],[c_62,c_245]) ).

cnf(c_283,plain,
    multiply(X0,add(multiplicative_identity,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_275,c_65]) ).

cnf(c_299,plain,
    add(multiplicative_identity,multiplicative_identity) = multiplicative_identity,
    inference(superposition,[status(thm)],[c_283,c_63]) ).

cnf(c_415,plain,
    add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X0,X1)),
    inference(superposition,[status(thm)],[c_58,c_55]) ).

cnf(c_417,plain,
    multiply(X0,add(additive_identity,X1)) = add(additive_identity,multiply(X0,X1)),
    inference(superposition,[status(thm)],[c_65,c_55]) ).

cnf(c_537,plain,
    multiply(add(a,X0),b) = add(c,multiply(X0,b)),
    inference(superposition,[status(thm)],[c_49,c_56]) ).

cnf(c_542,plain,
    multiply(add(X0,X1),inverse(X0)) = add(additive_identity,multiply(X1,inverse(X0))),
    inference(superposition,[status(thm)],[c_60,c_56]) ).

cnf(c_544,plain,
    add(X0,multiply(X1,X0)) = multiply(add(multiplicative_identity,X1),X0),
    inference(superposition,[status(thm)],[c_63,c_56]) ).

cnf(c_653,plain,
    multiply(a,add(b,X0)) = add(c,multiply(a,X0)),
    inference(superposition,[status(thm)],[c_49,c_57]) ).

cnf(c_671,plain,
    multiply(X0,add(X1,inverse(X0))) = add(multiply(X0,X1),additive_identity),
    inference(superposition,[status(thm)],[c_60,c_57]) ).

cnf(c_690,plain,
    multiply(X0,add(X1,inverse(X0))) = multiply(X0,add(X1,additive_identity)),
    inference(light_normalisation,[status(thm)],[c_671,c_244]) ).

cnf(c_1341,plain,
    add(inverse(X0),multiply(X0,X1)) = add(X1,inverse(X0)),
    inference(demodulation,[status(thm)],[c_243,c_52,c_63]) ).

cnf(c_1346,plain,
    add(inverse(X0),multiply(X1,X0)) = add(X1,inverse(X0)),
    inference(superposition,[status(thm)],[c_53,c_1341]) ).

cnf(c_1350,plain,
    add(inverse(X0),inverse(X0)) = add(inverse(X0),additive_identity),
    inference(superposition,[status(thm)],[c_60,c_1341]) ).

cnf(c_1351,plain,
    add(inverse(X0),X0) = add(multiplicative_identity,inverse(X0)),
    inference(superposition,[status(thm)],[c_62,c_1341]) ).

cnf(c_1360,plain,
    add(add(multiplicative_identity,X0),inverse(X0)) = add(inverse(X0),X0),
    inference(superposition,[status(thm)],[c_283,c_1341]) ).

cnf(c_1492,plain,
    add(multiplicative_identity,inverse(X0)) = multiplicative_identity,
    inference(demodulation,[status(thm)],[c_1351,c_52,c_58]) ).

cnf(c_1522,plain,
    add(inverse(X0),inverse(X0)) = inverse(X0),
    inference(demodulation,[status(thm)],[c_1350,c_64]) ).

cnf(c_1779,plain,
    multiply(b,add(a,X0)) = add(c,multiply(X0,b)),
    inference(demodulation,[status(thm)],[c_537,c_53]) ).

cnf(c_1782,plain,
    multiply(b,add(a,a)) = add(c,c),
    inference(superposition,[status(thm)],[c_49,c_1779]) ).

cnf(c_1783,plain,
    multiply(b,add(a,X0)) = add(c,multiply(b,X0)),
    inference(superposition,[status(thm)],[c_53,c_1779]) ).

cnf(c_1785,plain,
    multiply(b,add(a,multiplicative_identity)) = add(c,b),
    inference(superposition,[status(thm)],[c_63,c_1779]) ).

cnf(c_1875,plain,
    multiply(b,add(multiplicative_identity,a)) = add(b,c),
    inference(demodulation,[status(thm)],[c_1785,c_52]) ).

cnf(c_1902,plain,
    multiply(add(multiplicative_identity,multiplicative_identity),X0) = add(X0,X0),
    inference(superposition,[status(thm)],[c_63,c_544]) ).

cnf(c_1924,plain,
    multiply(add(multiplicative_identity,X0),additive_identity) = multiply(X0,additive_identity),
    inference(superposition,[status(thm)],[c_544,c_65]) ).

cnf(c_1930,plain,
    multiply(add(multiplicative_identity,X0),inverse(X0)) = add(inverse(X0),inverse(X0)),
    inference(superposition,[status(thm)],[c_544,c_1341]) ).

cnf(c_1934,plain,
    add(X0,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_1902,c_63,c_299]) ).

cnf(c_1938,plain,
    multiply(add(multiplicative_identity,X0),inverse(X0)) = inverse(X0),
    inference(light_normalisation,[status(thm)],[c_1930,c_1522]) ).

cnf(c_1941,plain,
    multiply(b,a) = add(c,c),
    inference(demodulation,[status(thm)],[c_1782,c_1934]) ).

cnf(c_2024,plain,
    multiply(add(X0,X1),X0) = add(X0,multiply(X1,X0)),
    inference(superposition,[status(thm)],[c_1934,c_55]) ).

cnf(c_2056,plain,
    multiply(additive_identity,add(multiplicative_identity,X0)) = multiply(X0,additive_identity),
    inference(demodulation,[status(thm)],[c_1924,c_53]) ).

cnf(c_2068,plain,
    multiply(inverse(X0),additive_identity) = multiply(additive_identity,multiplicative_identity),
    inference(superposition,[status(thm)],[c_1492,c_2056]) ).

cnf(c_2080,plain,
    multiply(additive_identity,additive_identity) = additive_identity,
    inference(superposition,[status(thm)],[c_2056,c_283]) ).

cnf(c_2088,plain,
    multiply(X0,X0) = add(additive_identity,X0),
    inference(demodulation,[status(thm)],[c_267,c_2080]) ).

cnf(c_2089,plain,
    multiply(X0,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_2088,c_65]) ).

cnf(c_2133,plain,
    add(inverse(X0),X0) = add(X0,inverse(X0)),
    inference(superposition,[status(thm)],[c_2089,c_1341]) ).

cnf(c_2154,plain,
    add(inverse(X0),X0) = multiplicative_identity,
    inference(light_normalisation,[status(thm)],[c_2133,c_58,c_1351]) ).

cnf(c_2158,plain,
    multiply(additive_identity,inverse(X0)) = additive_identity,
    inference(demodulation,[status(thm)],[c_2068,c_53,c_62]) ).

cnf(c_2170,plain,
    multiply(X0,add(inverse(X1),X0)) = add(additive_identity,X0),
    inference(superposition,[status(thm)],[c_2158,c_245]) ).

cnf(c_2171,plain,
    multiply(X0,add(inverse(X1),X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2170,c_65]) ).

cnf(c_2227,plain,
    multiply(inverse(b),d) = inverse(b),
    inference(superposition,[status(thm)],[c_50,c_2171]) ).

cnf(c_2327,plain,
    multiply(d,inverse(b)) = inverse(b),
    inference(demodulation,[status(thm)],[c_2227,c_53]) ).

cnf(c_2652,plain,
    multiply(inverse(X0),add(multiplicative_identity,X0)) = inverse(X0),
    inference(demodulation,[status(thm)],[c_1938,c_53]) ).

cnf(c_2667,plain,
    multiply(add(multiplicative_identity,inverse(X0)),add(multiplicative_identity,X0)) = add(add(multiplicative_identity,X0),inverse(X0)),
    inference(superposition,[status(thm)],[c_2652,c_544]) ).

cnf(c_2676,plain,
    multiply(multiplicative_identity,add(multiplicative_identity,X0)) = multiplicative_identity,
    inference(light_normalisation,[status(thm)],[c_2667,c_2154,c_1360,c_1492]) ).

cnf(c_2690,plain,
    add(multiplicative_identity,X0) = multiplicative_identity,
    inference(demodulation,[status(thm)],[c_2676,c_63]) ).

cnf(c_2692,plain,
    multiply(X0,additive_identity) = multiply(additive_identity,multiplicative_identity),
    inference(demodulation,[status(thm)],[c_2056,c_2690]) ).

cnf(c_2694,plain,
    add(X0,multiply(X1,X0)) = multiply(multiplicative_identity,X0),
    inference(demodulation,[status(thm)],[c_544,c_2690]) ).

cnf(c_2695,plain,
    multiply(b,multiplicative_identity) = add(b,c),
    inference(demodulation,[status(thm)],[c_1875,c_2690]) ).

cnf(c_2697,plain,
    add(X0,multiply(X1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2694,c_63,c_2024]) ).

cnf(c_2772,plain,
    multiply(X0,additive_identity) = additive_identity,
    inference(demodulation,[status(thm)],[c_2692,c_62]) ).

cnf(c_2773,plain,
    multiply(X0,add(X1,X0)) = add(additive_identity,X0),
    inference(demodulation,[status(thm)],[c_272,c_2772]) ).

cnf(c_2774,plain,
    multiply(X0,add(X1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2773,c_65]) ).

cnf(c_2776,plain,
    add(multiply(additive_identity,X0),X1) = X1,
    inference(demodulation,[status(thm)],[c_245,c_2774]) ).

cnf(c_2777,plain,
    multiply(X0,add(X0,X1)) = X0,
    inference(demodulation,[status(thm)],[c_264,c_2776]) ).

cnf(c_2786,plain,
    multiply(additive_identity,X0) = additive_identity,
    inference(superposition,[status(thm)],[c_2772,c_53]) ).

cnf(c_2797,plain,
    multiply(add(additive_identity,X0),X1) = add(additive_identity,multiply(X0,X1)),
    inference(superposition,[status(thm)],[c_2786,c_56]) ).

cnf(c_2801,plain,
    multiply(add(X0,additive_identity),X1) = add(multiply(X0,X1),additive_identity),
    inference(superposition,[status(thm)],[c_2786,c_56]) ).

cnf(c_2804,plain,
    multiply(X0,add(X1,additive_identity)) = multiply(X0,X1),
    inference(light_normalisation,[status(thm)],[c_2801,c_64,c_244]) ).

cnf(c_2806,plain,
    multiply(X0,add(additive_identity,X1)) = multiply(X0,X1),
    inference(light_normalisation,[status(thm)],[c_2797,c_65,c_417]) ).

cnf(c_2808,plain,
    add(b,c) = b,
    inference(demodulation,[status(thm)],[c_2695,c_62]) ).

cnf(c_2823,plain,
    add(X0,multiply(X0,X1)) = X0,
    inference(superposition,[status(thm)],[c_53,c_2697]) ).

cnf(c_2892,plain,
    add(a,c) = a,
    inference(superposition,[status(thm)],[c_49,c_2823]) ).

cnf(c_2904,plain,
    add(d,inverse(b)) = d,
    inference(superposition,[status(thm)],[c_2327,c_2823]) ).

cnf(c_2978,plain,
    multiply(c,a) = c,
    inference(superposition,[status(thm)],[c_2892,c_2774]) ).

cnf(c_3042,plain,
    multiply(a,c) = c,
    inference(demodulation,[status(thm)],[c_2978,c_53]) ).

cnf(c_3546,plain,
    multiply(a,add(b,c)) = add(c,c),
    inference(superposition,[status(thm)],[c_3042,c_653]) ).

cnf(c_3559,plain,
    multiply(b,a) = c,
    inference(light_normalisation,[status(thm)],[c_3546,c_49,c_1941,c_2808]) ).

cnf(c_7960,plain,
    add(X0,multiply(inverse(X0),X1)) = add(X0,X1),
    inference(demodulation,[status(thm)],[c_415,c_63]) ).

cnf(c_7970,plain,
    add(X0,inverse(inverse(X0))) = add(X0,additive_identity),
    inference(superposition,[status(thm)],[c_60,c_7960]) ).

cnf(c_7973,plain,
    add(X0,add(inverse(X0),X1)) = add(X0,inverse(X0)),
    inference(superposition,[status(thm)],[c_2777,c_7960]) ).

cnf(c_8035,plain,
    add(X0,inverse(inverse(X0))) = X0,
    inference(light_normalisation,[status(thm)],[c_7970,c_64]) ).

cnf(c_8039,plain,
    add(X0,add(inverse(X0),X1)) = multiplicative_identity,
    inference(light_normalisation,[status(thm)],[c_7973,c_58]) ).

cnf(c_8124,plain,
    multiply(inverse(inverse(X0)),X0) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_8035,c_2774]) ).

cnf(c_8361,plain,
    add(a,d) = multiplicative_identity,
    inference(superposition,[status(thm)],[c_50,c_8039]) ).

cnf(c_8462,plain,
    multiply(multiplicative_identity,add(a,X0)) = add(a,multiply(d,X0)),
    inference(superposition,[status(thm)],[c_8361,c_55]) ).

cnf(c_8848,plain,
    multiply(X0,inverse(inverse(X0))) = inverse(inverse(X0)),
    inference(demodulation,[status(thm)],[c_8124,c_53]) ).

cnf(c_11151,plain,
    multiply(inverse(X0),add(X0,X1)) = multiply(X1,inverse(X0)),
    inference(demodulation,[status(thm)],[c_542,c_53,c_417,c_2806]) ).

cnf(c_11165,plain,
    multiply(inverse(X0),X0) = multiply(additive_identity,inverse(X0)),
    inference(superposition,[status(thm)],[c_64,c_11151]) ).

cnf(c_11184,plain,
    multiply(inverse(b),b) = multiply(c,inverse(b)),
    inference(superposition,[status(thm)],[c_2808,c_11151]) ).

cnf(c_11188,plain,
    multiply(inverse(a),a) = multiply(c,inverse(a)),
    inference(superposition,[status(thm)],[c_2892,c_11151]) ).

cnf(c_11541,plain,
    multiply(c,inverse(b)) = additive_identity,
    inference(demodulation,[status(thm)],[c_11184,c_2786,c_11165]) ).

cnf(c_11546,plain,
    multiply(c,add(inverse(b),X0)) = add(additive_identity,multiply(c,X0)),
    inference(superposition,[status(thm)],[c_11541,c_57]) ).

cnf(c_11592,plain,
    multiply(c,inverse(a)) = additive_identity,
    inference(demodulation,[status(thm)],[c_11188,c_2786,c_11165]) ).

cnf(c_12902,plain,
    multiply(X0,add(X1,inverse(X0))) = multiply(X0,X1),
    inference(light_normalisation,[status(thm)],[c_690,c_2804]) ).

cnf(c_12920,plain,
    multiply(X0,add(inverse(X0),X1)) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_52,c_12902]) ).

cnf(c_13759,plain,
    multiply(X0,inverse(inverse(X0))) = multiply(X0,multiplicative_identity),
    inference(superposition,[status(thm)],[c_58,c_12920]) ).

cnf(c_13766,plain,
    multiply(X0,multiply(X1,inverse(X0))) = multiply(X0,inverse(X0)),
    inference(superposition,[status(thm)],[c_2697,c_12920]) ).

cnf(c_13861,plain,
    multiply(X0,inverse(inverse(X0))) = X0,
    inference(light_normalisation,[status(thm)],[c_13759,c_62,c_8848]) ).

cnf(c_13885,plain,
    multiply(X0,multiply(X1,inverse(X0))) = additive_identity,
    inference(light_normalisation,[status(thm)],[c_13766,c_60]) ).

cnf(c_13908,plain,
    inverse(inverse(X0)) = X0,
    inference(demodulation,[status(thm)],[c_8848,c_13861]) ).

cnf(c_15091,plain,
    multiply(inverse(X0),multiply(X1,X0)) = additive_identity,
    inference(superposition,[status(thm)],[c_13908,c_13885]) ).

cnf(c_15539,plain,
    add(a,multiply(d,X0)) = add(a,X0),
    inference(demodulation,[status(thm)],[c_8462,c_63]) ).

cnf(c_15545,plain,
    add(a,inverse(d)) = add(a,additive_identity),
    inference(superposition,[status(thm)],[c_60,c_15539]) ).

cnf(c_15858,plain,
    add(a,inverse(d)) = a,
    inference(demodulation,[status(thm)],[c_15545,c_64]) ).

cnf(c_16345,plain,
    multiply(inverse(add(X0,X1)),X1) = additive_identity,
    inference(superposition,[status(thm)],[c_2774,c_15091]) ).

cnf(c_17559,plain,
    multiply(X0,inverse(add(X1,X0))) = additive_identity,
    inference(demodulation,[status(thm)],[c_16345,c_53]) ).

cnf(c_17591,plain,
    multiply(inverse(b),inverse(d)) = additive_identity,
    inference(superposition,[status(thm)],[c_2904,c_17559]) ).

cnf(c_17893,plain,
    add(b,inverse(d)) = add(b,additive_identity),
    inference(superposition,[status(thm)],[c_17591,c_7960]) ).

cnf(c_18483,plain,
    add(b,inverse(d)) = b,
    inference(demodulation,[status(thm)],[c_17893,c_64]) ).

cnf(c_18498,plain,
    multiply(inverse(d),b) = inverse(d),
    inference(superposition,[status(thm)],[c_18483,c_2774]) ).

cnf(c_18580,plain,
    multiply(b,inverse(d)) = inverse(d),
    inference(demodulation,[status(thm)],[c_18498,c_53]) ).

cnf(c_18596,plain,
    multiply(b,add(a,inverse(d))) = add(c,inverse(d)),
    inference(superposition,[status(thm)],[c_18580,c_1783]) ).

cnf(c_18598,plain,
    add(c,inverse(d)) = c,
    inference(light_normalisation,[status(thm)],[c_18596,c_3559,c_15858]) ).

cnf(c_40414,plain,
    multiply(c,add(inverse(b),X0)) = multiply(c,X0),
    inference(demodulation,[status(thm)],[c_11546,c_417,c_2806]) ).

cnf(c_40425,plain,
    multiply(c,add(X0,inverse(b))) = multiply(c,X0),
    inference(superposition,[status(thm)],[c_52,c_40414]) ).

cnf(c_41741,plain,
    multiply(c,inverse(a)) = multiply(c,d),
    inference(superposition,[status(thm)],[c_50,c_40425]) ).

cnf(c_41794,plain,
    multiply(c,d) = additive_identity,
    inference(light_normalisation,[status(thm)],[c_41741,c_11592]) ).

cnf(c_42444,plain,
    add(inverse(d),additive_identity) = add(c,inverse(d)),
    inference(superposition,[status(thm)],[c_41794,c_1346]) ).

cnf(c_42474,plain,
    add(inverse(d),additive_identity) = c,
    inference(light_normalisation,[status(thm)],[c_42444,c_18598]) ).

cnf(c_42535,plain,
    inverse(d) = c,
    inference(demodulation,[status(thm)],[c_42474,c_64]) ).

cnf(c_42572,plain,
    inverse(c) = d,
    inference(superposition,[status(thm)],[c_42535,c_13908]) ).

cnf(c_42590,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_42572,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : BOO015-2 : TPTP v8.1.2. Bugfixed v1.0.1.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 08:37:20 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  Running UEQ theorem proving
% 0.19/0.46  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
% 12.03/2.12  % SZS status Started for theBenchmark.p
% 12.03/2.12  % SZS status Unsatisfiable for theBenchmark.p
% 12.03/2.12  
% 12.03/2.12  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 12.03/2.12  
% 12.03/2.12  ------  iProver source info
% 12.03/2.12  
% 12.03/2.12  git: date: 2023-05-31 18:12:56 +0000
% 12.03/2.12  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 12.03/2.12  git: non_committed_changes: false
% 12.03/2.12  git: last_make_outside_of_git: false
% 12.03/2.12  
% 12.03/2.12  ------ Parsing...successful
% 12.03/2.12  
% 12.03/2.12  
% 12.03/2.12  
% 12.03/2.12  ------ Preprocessing... sup_sim: 4  sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 12.03/2.12  
% 12.03/2.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 12.03/2.12  
% 12.03/2.12  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 12.03/2.12  ------ Proving...
% 12.03/2.12  ------ Problem Properties 
% 12.03/2.12  
% 12.03/2.12  
% 12.03/2.12  clauses                                 15
% 12.03/2.12  conjectures                             1
% 12.03/2.12  EPR                                     0
% 12.03/2.12  Horn                                    15
% 12.03/2.12  unary                                   15
% 12.03/2.12  binary                                  0
% 12.03/2.12  lits                                    15
% 12.03/2.12  lits eq                                 15
% 12.03/2.12  fd_pure                                 0
% 12.03/2.12  fd_pseudo                               0
% 12.03/2.12  fd_cond                                 0
% 12.03/2.12  fd_pseudo_cond                          0
% 12.03/2.12  AC symbols                              0
% 12.03/2.12  
% 12.03/2.12  ------ Input Options Time Limit: Unbounded
% 12.03/2.12  
% 12.03/2.12  
% 12.03/2.12  ------ 
% 12.03/2.12  Current options:
% 12.03/2.12  ------ 
% 12.03/2.12  
% 12.03/2.12  ------ Input Options
% 12.03/2.12  
% 12.03/2.12  --out_options                           all
% 12.03/2.12  --tptp_safe_out                         true
% 12.03/2.12  --problem_path                          ""
% 12.03/2.12  --include_path                          ""
% 12.03/2.12  --clausifier                            res/vclausify_rel
% 12.03/2.12  --clausifier_options                    --mode clausify -t 305.00 
% 12.03/2.12  --stdin                                 false
% 12.03/2.12  --proof_out                             true
% 12.03/2.12  --proof_dot_file                        ""
% 12.03/2.12  --proof_reduce_dot                      []
% 12.03/2.12  --suppress_sat_res                      true
% 12.03/2.12  --suppress_unsat_res                    false
% 12.03/2.12  --stats_out                             all
% 12.03/2.12  --stats_mem                             false
% 12.03/2.12  --theory_stats_out                      false
% 12.03/2.12  
% 12.03/2.12  ------ General Options
% 12.03/2.12  
% 12.03/2.12  --fof                                   false
% 12.03/2.12  --time_out_real                         305.
% 12.03/2.12  --time_out_virtual                      -1.
% 12.03/2.12  --rnd_seed                              13
% 12.03/2.12  --symbol_type_check                     false
% 12.03/2.12  --clausify_out                          false
% 12.03/2.12  --sig_cnt_out                           false
% 12.03/2.12  --trig_cnt_out                          false
% 12.03/2.12  --trig_cnt_out_tolerance                1.
% 12.03/2.12  --trig_cnt_out_sk_spl                   false
% 12.03/2.12  --abstr_cl_out                          false
% 12.03/2.12  
% 12.03/2.12  ------ Interactive Mode
% 12.03/2.12  
% 12.03/2.12  --interactive_mode                      false
% 12.03/2.12  --external_ip_address                   ""
% 12.03/2.12  --external_port                         0
% 12.03/2.12  
% 12.03/2.12  ------ Global Options
% 12.03/2.12  
% 12.03/2.12  --schedule                              none
% 12.03/2.12  --add_important_lit                     false
% 12.03/2.12  --prop_solver_per_cl                    500
% 12.03/2.12  --subs_bck_mult                         8
% 12.03/2.12  --min_unsat_core                        false
% 12.03/2.12  --soft_assumptions                      false
% 12.03/2.12  --soft_lemma_size                       3
% 12.03/2.12  --prop_impl_unit_size                   0
% 12.03/2.12  --prop_impl_unit                        []
% 12.03/2.12  --share_sel_clauses                     true
% 12.03/2.12  --reset_solvers                         false
% 12.03/2.12  --bc_imp_inh                            [conj_cone]
% 12.03/2.12  --conj_cone_tolerance                   3.
% 12.03/2.12  --extra_neg_conj                        none
% 12.03/2.12  --large_theory_mode                     true
% 12.03/2.12  --prolific_symb_bound                   200
% 12.03/2.12  --lt_threshold                          2000
% 12.03/2.12  --clause_weak_htbl                      true
% 12.03/2.12  --gc_record_bc_elim                     false
% 12.03/2.12  
% 12.03/2.12  ------ Preprocessing Options
% 12.03/2.12  
% 12.03/2.12  --preprocessing_flag                    true
% 12.03/2.12  --time_out_prep_mult                    0.1
% 12.03/2.12  --splitting_mode                        input
% 12.03/2.12  --splitting_grd                         true
% 12.03/2.12  --splitting_cvd                         false
% 12.03/2.12  --splitting_cvd_svl                     false
% 12.03/2.12  --splitting_nvd                         32
% 12.03/2.12  --sub_typing                            false
% 12.03/2.12  --prep_gs_sim                           true
% 12.03/2.12  --prep_unflatten                        true
% 12.03/2.12  --prep_res_sim                          true
% 12.03/2.12  --prep_sup_sim_all                      true
% 12.03/2.12  --prep_sup_sim_sup                      false
% 12.03/2.12  --prep_upred                            true
% 12.03/2.12  --prep_well_definedness                 true
% 12.03/2.12  --prep_sem_filter                       exhaustive
% 12.03/2.12  --prep_sem_filter_out                   false
% 12.03/2.12  --pred_elim                             true
% 12.03/2.12  --res_sim_input                         true
% 12.03/2.12  --eq_ax_congr_red                       true
% 12.03/2.12  --pure_diseq_elim                       true
% 12.03/2.12  --brand_transform                       false
% 12.03/2.12  --non_eq_to_eq                          false
% 12.03/2.12  --prep_def_merge                        true
% 12.03/2.12  --prep_def_merge_prop_impl              false
% 12.03/2.12  --prep_def_merge_mbd                    true
% 12.03/2.12  --prep_def_merge_tr_red                 false
% 12.03/2.12  --prep_def_merge_tr_cl                  false
% 12.03/2.12  --smt_preprocessing                     false
% 12.03/2.12  --smt_ac_axioms                         fast
% 12.03/2.12  --preprocessed_out                      false
% 12.03/2.12  --preprocessed_stats                    false
% 12.03/2.12  
% 12.03/2.12  ------ Abstraction refinement Options
% 12.03/2.12  
% 12.03/2.12  --abstr_ref                             []
% 12.03/2.12  --abstr_ref_prep                        false
% 12.03/2.12  --abstr_ref_until_sat                   false
% 12.03/2.12  --abstr_ref_sig_restrict                funpre
% 12.03/2.12  --abstr_ref_af_restrict_to_split_sk     false
% 12.03/2.12  --abstr_ref_under                       []
% 12.03/2.12  
% 12.03/2.12  ------ SAT Options
% 12.03/2.12  
% 12.03/2.12  --sat_mode                              false
% 12.03/2.12  --sat_fm_restart_options                ""
% 12.03/2.12  --sat_gr_def                            false
% 12.03/2.12  --sat_epr_types                         true
% 12.03/2.12  --sat_non_cyclic_types                  false
% 12.03/2.12  --sat_finite_models                     false
% 12.03/2.12  --sat_fm_lemmas                         false
% 12.03/2.12  --sat_fm_prep                           false
% 12.03/2.12  --sat_fm_uc_incr                        true
% 12.03/2.12  --sat_out_model                         small
% 12.03/2.12  --sat_out_clauses                       false
% 12.03/2.12  
% 12.03/2.12  ------ QBF Options
% 12.03/2.12  
% 12.03/2.12  --qbf_mode                              false
% 12.03/2.12  --qbf_elim_univ                         false
% 12.03/2.12  --qbf_dom_inst                          none
% 12.03/2.12  --qbf_dom_pre_inst                      false
% 12.03/2.12  --qbf_sk_in                             false
% 12.03/2.12  --qbf_pred_elim                         true
% 12.03/2.12  --qbf_split                             512
% 12.03/2.12  
% 12.03/2.12  ------ BMC1 Options
% 12.03/2.12  
% 12.03/2.12  --bmc1_incremental                      false
% 12.03/2.12  --bmc1_axioms                           reachable_all
% 12.03/2.12  --bmc1_min_bound                        0
% 12.03/2.12  --bmc1_max_bound                        -1
% 12.03/2.12  --bmc1_max_bound_default                -1
% 12.03/2.12  --bmc1_symbol_reachability              true
% 12.03/2.12  --bmc1_property_lemmas                  false
% 12.03/2.12  --bmc1_k_induction                      false
% 12.03/2.12  --bmc1_non_equiv_states                 false
% 12.03/2.12  --bmc1_deadlock                         false
% 12.03/2.12  --bmc1_ucm                              false
% 12.03/2.12  --bmc1_add_unsat_core                   none
% 12.03/2.12  --bmc1_unsat_core_children              false
% 12.03/2.12  --bmc1_unsat_core_extrapolate_axioms    false
% 12.03/2.12  --bmc1_out_stat                         full
% 12.03/2.12  --bmc1_ground_init                      false
% 12.03/2.12  --bmc1_pre_inst_next_state              false
% 12.03/2.12  --bmc1_pre_inst_state                   false
% 12.03/2.12  --bmc1_pre_inst_reach_state             false
% 12.03/2.12  --bmc1_out_unsat_core                   false
% 12.03/2.12  --bmc1_aig_witness_out                  false
% 12.03/2.12  --bmc1_verbose                          false
% 12.03/2.12  --bmc1_dump_clauses_tptp                false
% 12.03/2.12  --bmc1_dump_unsat_core_tptp             false
% 12.03/2.12  --bmc1_dump_file                        -
% 12.03/2.12  --bmc1_ucm_expand_uc_limit              128
% 12.03/2.12  --bmc1_ucm_n_expand_iterations          6
% 12.03/2.12  --bmc1_ucm_extend_mode                  1
% 12.03/2.12  --bmc1_ucm_init_mode                    2
% 12.03/2.12  --bmc1_ucm_cone_mode                    none
% 12.03/2.12  --bmc1_ucm_reduced_relation_type        0
% 12.03/2.12  --bmc1_ucm_relax_model                  4
% 12.03/2.12  --bmc1_ucm_full_tr_after_sat            true
% 12.03/2.12  --bmc1_ucm_expand_neg_assumptions       false
% 12.03/2.12  --bmc1_ucm_layered_model                none
% 12.03/2.12  --bmc1_ucm_max_lemma_size               10
% 12.03/2.12  
% 12.03/2.12  ------ AIG Options
% 12.03/2.12  
% 12.03/2.12  --aig_mode                              false
% 12.03/2.12  
% 12.03/2.12  ------ Instantiation Options
% 12.03/2.12  
% 12.03/2.12  --instantiation_flag                    true
% 12.03/2.12  --inst_sos_flag                         false
% 12.03/2.12  --inst_sos_phase                        true
% 12.03/2.12  --inst_sos_sth_lit_sel                  [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 12.03/2.12  --inst_lit_sel                          [+prop;+sign;+ground;-num_var;-num_symb]
% 12.03/2.12  --inst_lit_sel_side                     num_symb
% 12.03/2.12  --inst_solver_per_active                1400
% 12.03/2.12  --inst_solver_calls_frac                1.
% 12.03/2.12  --inst_to_smt_solver                    true
% 12.03/2.12  --inst_passive_queue_type               priority_queues
% 12.03/2.12  --inst_passive_queues                   [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 12.03/2.12  --inst_passive_queues_freq              [25;2]
% 12.03/2.12  --inst_dismatching                      true
% 12.03/2.12  --inst_eager_unprocessed_to_passive     true
% 12.03/2.12  --inst_unprocessed_bound                1000
% 12.03/2.12  --inst_prop_sim_given                   true
% 12.03/2.12  --inst_prop_sim_new                     false
% 12.03/2.12  --inst_subs_new                         false
% 12.03/2.12  --inst_eq_res_simp                      false
% 12.03/2.12  --inst_subs_given                       false
% 12.03/2.12  --inst_orphan_elimination               true
% 12.03/2.12  --inst_learning_loop_flag               true
% 12.03/2.12  --inst_learning_start                   3000
% 12.03/2.12  --inst_learning_factor                  2
% 12.03/2.12  --inst_start_prop_sim_after_learn       3
% 12.03/2.12  --inst_sel_renew                        solver
% 12.03/2.12  --inst_lit_activity_flag                true
% 12.03/2.12  --inst_restr_to_given                   false
% 12.03/2.12  --inst_activity_threshold               500
% 12.03/2.12  
% 12.03/2.12  ------ Resolution Options
% 12.03/2.12  
% 12.03/2.12  --resolution_flag                       true
% 12.03/2.12  --res_lit_sel                           adaptive
% 12.03/2.12  --res_lit_sel_side                      none
% 12.03/2.12  --res_ordering                          kbo
% 12.03/2.12  --res_to_prop_solver                    active
% 12.03/2.12  --res_prop_simpl_new                    false
% 12.03/2.12  --res_prop_simpl_given                  true
% 12.03/2.12  --res_to_smt_solver                     true
% 12.03/2.12  --res_passive_queue_type                priority_queues
% 12.03/2.12  --res_passive_queues                    [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 12.03/2.12  --res_passive_queues_freq               [15;5]
% 12.03/2.12  --res_forward_subs                      full
% 12.03/2.12  --res_backward_subs                     full
% 12.03/2.12  --res_forward_subs_resolution           true
% 12.03/2.12  --res_backward_subs_resolution          true
% 12.03/2.12  --res_orphan_elimination                true
% 12.03/2.12  --res_time_limit                        300.
% 12.03/2.12  
% 12.03/2.12  ------ Superposition Options
% 12.03/2.12  
% 12.03/2.12  --superposition_flag                    true
% 12.03/2.12  --sup_passive_queue_type                priority_queues
% 12.03/2.12  --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]]
% 12.03/2.12  --sup_passive_queues_freq               [8;1;4;4]
% 12.03/2.12  --demod_completeness_check              fast
% 12.03/2.12  --demod_use_ground                      true
% 12.03/2.12  --sup_unprocessed_bound                 0
% 12.03/2.12  --sup_to_prop_solver                    passive
% 12.03/2.12  --sup_prop_simpl_new                    true
% 12.03/2.12  --sup_prop_simpl_given                  true
% 12.03/2.12  --sup_fun_splitting                     false
% 12.03/2.12  --sup_iter_deepening                    2
% 12.03/2.12  --sup_restarts_mult                     12
% 12.03/2.12  --sup_score                             sim_d_gen
% 12.03/2.12  --sup_share_score_frac                  0.2
% 12.03/2.12  --sup_share_max_num_cl                  500
% 12.03/2.12  --sup_ordering                          kbo
% 12.03/2.12  --sup_symb_ordering                     invfreq
% 12.03/2.12  --sup_term_weight                       default
% 12.03/2.12  
% 12.03/2.12  ------ Superposition Simplification Setup
% 12.03/2.12  
% 12.03/2.12  --sup_indices_passive                   [LightNormIndex;FwDemodIndex]
% 12.03/2.12  --sup_full_triv                         [SMTSimplify;PropSubs]
% 12.03/2.12  --sup_full_fw                           [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 12.03/2.12  --sup_full_bw                           [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 12.03/2.12  --sup_immed_triv                        []
% 12.03/2.12  --sup_immed_fw_main                     [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 12.03/2.12  --sup_immed_fw_immed                    [ACNormalisation;FwUnitSubsAndRes]
% 12.03/2.12  --sup_immed_bw_main                     [BwUnitSubsAndRes;BwDemod]
% 12.03/2.12  --sup_immed_bw_immed                    [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 12.03/2.12  --sup_input_triv                        [Unflattening;SMTSimplify]
% 12.03/2.12  --sup_input_fw                          [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 12.03/2.12  --sup_input_bw                          [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 12.03/2.12  --sup_full_fixpoint                     true
% 12.03/2.12  --sup_main_fixpoint                     true
% 12.03/2.12  --sup_immed_fixpoint                    false
% 12.03/2.12  --sup_input_fixpoint                    true
% 12.03/2.12  --sup_cache_sim                         none
% 12.03/2.12  --sup_smt_interval                      500
% 12.03/2.12  --sup_bw_gjoin_interval                 0
% 12.03/2.12  
% 12.03/2.12  ------ Combination Options
% 12.03/2.12  
% 12.03/2.12  --comb_mode                             clause_based
% 12.03/2.12  --comb_inst_mult                        5
% 12.03/2.12  --comb_res_mult                         1
% 12.03/2.12  --comb_sup_mult                         8
% 12.03/2.12  --comb_sup_deep_mult                    2
% 12.03/2.12  
% 12.03/2.12  ------ Debug Options
% 12.03/2.12  
% 12.03/2.12  --dbg_backtrace                         false
% 12.03/2.12  --dbg_dump_prop_clauses                 false
% 12.03/2.12  --dbg_dump_prop_clauses_file            -
% 12.03/2.12  --dbg_out_stat                          false
% 12.03/2.12  --dbg_just_parse                        false
% 12.03/2.12  
% 12.03/2.12  
% 12.03/2.12  
% 12.03/2.12  
% 12.03/2.12  ------ Proving...
% 12.03/2.12  
% 12.03/2.12  
% 12.03/2.12  % SZS status Unsatisfiable for theBenchmark.p
% 12.03/2.12  
% 12.03/2.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 12.03/2.12  
% 12.03/2.12  ------                               Statistics
% 12.03/2.12  
% 12.03/2.12  ------ Problem properties
% 12.03/2.12  
% 12.03/2.12  clauses:                                15
% 12.03/2.12  conjectures:                            1
% 12.03/2.12  epr:                                    0
% 12.03/2.12  horn:                                   15
% 12.03/2.12  ground:                                 3
% 12.03/2.12  unary:                                  15
% 12.03/2.12  binary:                                 0
% 12.03/2.12  lits:                                   15
% 12.03/2.12  lits_eq:                                15
% 12.03/2.12  fd_pure:                                0
% 12.03/2.12  fd_pseudo:                              0
% 12.03/2.12  fd_cond:                                0
% 12.03/2.12  fd_pseudo_cond:                         0
% 12.03/2.12  ac_symbols:                             0
% 12.03/2.12  
% 12.03/2.12  ------ General
% 12.03/2.12  
% 12.03/2.12  abstr_ref_over_cycles:                  0
% 12.03/2.12  abstr_ref_under_cycles:                 0
% 12.03/2.12  gc_basic_clause_elim:                   0
% 12.03/2.12  num_of_symbols:                         105
% 12.03/2.12  num_of_terms:                           74166
% 12.03/2.12  
% 12.03/2.12  parsing_time:                           0.
% 12.03/2.12  unif_index_cands_time:                  0.035
% 12.03/2.12  unif_index_add_time:                    0.01
% 12.03/2.12  orderings_time:                         0.013
% 12.03/2.12  out_proof_time:                         0.003
% 12.03/2.12  total_time:                             1.405
% 12.03/2.12  
% 12.03/2.12  ------ Preprocessing
% 12.03/2.12  
% 12.03/2.12  num_of_splits:                          0
% 12.03/2.12  num_of_split_atoms:                     0
% 12.03/2.12  num_of_reused_defs:                     0
% 12.03/2.12  num_eq_ax_congr_red:                    0
% 12.03/2.12  num_of_sem_filtered_clauses:            0
% 12.03/2.12  num_of_subtypes:                        0
% 12.03/2.12  monotx_restored_types:                  0
% 12.03/2.12  sat_num_of_epr_types:                   0
% 12.03/2.12  sat_num_of_non_cyclic_types:            0
% 12.03/2.12  sat_guarded_non_collapsed_types:        0
% 12.03/2.12  num_pure_diseq_elim:                    0
% 12.03/2.12  simp_replaced_by:                       0
% 12.03/2.12  res_preprocessed:                       0
% 12.03/2.12  sup_preprocessed:                       5
% 12.03/2.12  prep_upred:                             0
% 12.03/2.12  prep_unflattend:                        0
% 12.03/2.12  prep_well_definedness:                  0
% 12.03/2.12  smt_new_axioms:                         0
% 12.03/2.12  pred_elim_cands:                        0
% 12.03/2.12  pred_elim:                              0
% 12.03/2.12  pred_elim_cl:                           0
% 12.03/2.12  pred_elim_cycles:                       0
% 12.03/2.12  merged_defs:                            0
% 12.03/2.12  merged_defs_ncl:                        0
% 12.03/2.12  bin_hyper_res:                          0
% 12.03/2.12  prep_cycles:                            3
% 12.03/2.12  
% 12.03/2.12  splitting_time:                         0.
% 12.03/2.12  sem_filter_time:                        0.
% 12.03/2.12  monotx_time:                            0.
% 12.03/2.12  subtype_inf_time:                       0.
% 12.03/2.12  res_prep_time:                          0.002
% 12.03/2.12  sup_prep_time:                          0.002
% 12.03/2.12  pred_elim_time:                         0.
% 12.03/2.12  bin_hyper_res_time:                     0.
% 12.03/2.12  prep_time_total:                        0.008
% 12.03/2.12  
% 12.03/2.12  ------ Propositional Solver
% 12.03/2.12  
% 12.03/2.12  prop_solver_calls:                      37
% 12.03/2.12  prop_fast_solver_calls:                 1455
% 12.03/2.12  smt_solver_calls:                       4
% 12.03/2.12  smt_fast_solver_calls:                  0
% 12.03/2.12  prop_num_of_clauses:                    18186
% 12.03/2.12  prop_preprocess_simplified:             13340
% 12.03/2.12  prop_fo_subsumed:                       0
% 12.03/2.12  
% 12.03/2.12  prop_solver_time:                       0.005
% 12.03/2.12  prop_fast_solver_time:                  0.001
% 12.03/2.12  prop_unsat_core_time:                   0.
% 12.03/2.12  smt_solver_time:                        0.065
% 12.03/2.12  smt_fast_solver_time:                   0.
% 12.03/2.12  
% 12.03/2.12  ------ QBF
% 12.03/2.12  
% 12.03/2.12  qbf_q_res:                              0
% 12.03/2.12  qbf_num_tautologies:                    0
% 12.03/2.12  qbf_prep_cycles:                        0
% 12.03/2.12  
% 12.03/2.12  ------ BMC1
% 12.03/2.12  
% 12.03/2.12  bmc1_current_bound:                     -1
% 12.03/2.12  bmc1_last_solved_bound:                 -1
% 12.03/2.13  bmc1_unsat_core_size:                   -1
% 12.03/2.13  bmc1_unsat_core_parents_size:           -1
% 12.03/2.13  bmc1_merge_next_fun:                    0
% 12.03/2.13  
% 12.03/2.13  bmc1_unsat_core_clauses_time:           0.
% 12.03/2.13  
% 12.03/2.13  ------ Instantiation
% 12.03/2.13  
% 12.03/2.13  inst_num_of_clauses:                    3787
% 12.03/2.13  inst_num_in_passive:                    2017
% 12.03/2.13  inst_num_in_active:                     1057
% 12.03/2.13  inst_num_of_loops:                      1156
% 12.03/2.13  inst_num_in_unprocessed:                713
% 12.03/2.13  inst_num_of_learning_restarts:          0
% 12.03/2.13  inst_num_moves_active_passive:          90
% 12.03/2.13  inst_lit_activity:                      0
% 12.03/2.13  inst_lit_activity_moves:                1
% 12.03/2.13  inst_num_tautologies:                   0
% 12.03/2.13  inst_num_prop_implied:                  0
% 12.03/2.13  inst_num_existing_simplified:           0
% 12.03/2.13  inst_num_eq_res_simplified:             0
% 12.03/2.13  inst_num_child_elim:                    0
% 12.03/2.13  inst_num_of_dismatching_blockings:      524
% 12.03/2.13  inst_num_of_non_proper_insts:           2124
% 12.03/2.13  inst_num_of_duplicates:                 0
% 12.03/2.13  inst_inst_num_from_inst_to_res:         0
% 12.03/2.13  
% 12.03/2.13  inst_time_sim_new:                      0.11
% 12.03/2.13  inst_time_sim_given:                    0.
% 12.03/2.13  inst_time_dismatching_checking:         0.059
% 12.03/2.13  inst_time_total:                        0.284
% 12.03/2.13  
% 12.03/2.13  ------ Resolution
% 12.03/2.13  
% 12.03/2.13  res_num_of_clauses:                     830
% 12.03/2.13  res_num_in_passive:                     651
% 12.03/2.13  res_num_in_active:                      179
% 12.03/2.13  res_num_of_loops:                       255
% 12.03/2.13  res_forward_subset_subsumed:            728
% 12.03/2.13  res_backward_subset_subsumed:           0
% 12.03/2.13  res_forward_subsumed:                   20
% 12.03/2.13  res_backward_subsumed:                  0
% 12.03/2.13  res_forward_subsumption_resolution:     0
% 12.03/2.13  res_backward_subsumption_resolution:    0
% 12.03/2.13  res_clause_to_clause_subsumption:       3137
% 12.03/2.13  res_subs_bck_cnt:                       3
% 12.03/2.13  res_orphan_elimination:                 0
% 12.03/2.13  res_tautology_del:                      220
% 12.03/2.13  res_num_eq_res_simplified:              1
% 12.03/2.13  res_num_sel_changes:                    64
% 12.03/2.13  res_moves_from_active_to_pass:          1
% 12.03/2.13  
% 12.03/2.13  res_time_sim_new:                       0.029
% 12.03/2.13  res_time_sim_fw_given:                  0.008
% 12.03/2.13  res_time_sim_bw_given:                  0.005
% 12.03/2.13  res_time_total:                         0.067
% 12.03/2.13  
% 12.03/2.13  ------ Superposition
% 12.03/2.13  
% 12.03/2.13  sup_num_of_clauses:                     1504
% 12.03/2.13  sup_num_in_active:                      74
% 12.03/2.13  sup_num_in_passive:                     1430
% 12.03/2.13  sup_num_of_loops:                       446
% 12.03/2.13  sup_fw_superposition:                   10956
% 12.03/2.13  sup_bw_superposition:                   9138
% 12.03/2.13  sup_eq_factoring:                       0
% 12.03/2.13  sup_eq_resolution:                      0
% 12.03/2.13  sup_immediate_simplified:               101
% 12.03/2.13  sup_given_eliminated:                   0
% 12.03/2.13  comparisons_done:                       25173
% 12.03/2.13  comparisons_avoided:                    0
% 12.03/2.13  comparisons_inc_criteria:               0
% 12.03/2.13  sup_deep_cl_discarded:                  0
% 12.03/2.13  sup_num_of_deepenings:                  0
% 12.03/2.13  sup_num_of_restarts:                    1
% 12.03/2.13  
% 12.03/2.13  sup_time_generating:                    0.25
% 12.03/2.13  sup_time_sim_fw_full:                   0.042
% 12.03/2.13  sup_time_sim_bw_full:                   0.136
% 12.03/2.13  sup_time_sim_fw_immed:                  0.141
% 12.03/2.13  sup_time_sim_bw_immed:                  0.053
% 12.03/2.13  sup_time_prep_sim_fw_input:             0.001
% 12.03/2.13  sup_time_prep_sim_bw_input:             0.001
% 12.03/2.13  sup_time_total:                         0.988
% 12.03/2.13  
% 12.03/2.13  ------ Simplifications
% 12.03/2.13  
% 12.03/2.13  sim_repeated:                           6475
% 12.03/2.13  sim_fw_subset_subsumed:                 0
% 12.03/2.13  sim_bw_subset_subsumed:                 0
% 12.03/2.13  sim_fw_subsumed:                        0
% 12.03/2.13  sim_bw_subsumed:                        0
% 12.03/2.13  sim_fw_subsumption_res:                 0
% 12.03/2.13  sim_bw_subsumption_res:                 0
% 12.03/2.13  sim_fw_unit_subs:                       0
% 12.03/2.13  sim_bw_unit_subs:                       110
% 12.03/2.13  sim_tautology_del:                      0
% 12.03/2.13  sim_eq_tautology_del:                   973
% 12.03/2.13  sim_eq_res_simp:                        0
% 12.03/2.13  sim_fw_demodulated:                     124
% 12.03/2.13  sim_bw_demodulated:                     85
% 12.03/2.13  sim_encompassment_demod:                0
% 12.03/2.13  sim_light_normalised:                   4904
% 12.03/2.13  sim_ac_normalised:                      0
% 12.03/2.13  sim_joinable_taut:                      0
% 12.03/2.13  sim_joinable_simp:                      0
% 12.03/2.13  sim_fw_ac_demod:                        0
% 12.03/2.13  sim_bw_ac_demod:                        0
% 12.03/2.13  sim_smt_subsumption:                    0
% 12.03/2.13  sim_smt_simplified:                     0
% 12.03/2.13  sim_ground_joinable:                    3
% 12.03/2.13  sim_bw_ground_joinable:                 0
% 12.03/2.13  sim_connectedness:                      0
% 12.03/2.13  
% 12.03/2.13  sim_time_fw_subset_subs:                0.008
% 12.03/2.13  sim_time_bw_subset_subs:                0.003
% 12.03/2.13  sim_time_fw_subs:                       0.
% 12.03/2.13  sim_time_bw_subs:                       0.
% 12.03/2.13  sim_time_fw_subs_res:                   0.
% 12.03/2.13  sim_time_bw_subs_res:                   0.
% 12.03/2.13  sim_time_fw_unit_subs:                  0.048
% 12.03/2.13  sim_time_bw_unit_subs:                  0.024
% 12.03/2.13  sim_time_tautology_del:                 0.002
% 12.03/2.13  sim_time_eq_tautology_del:              0.002
% 12.03/2.13  sim_time_eq_res_simp:                   0.001
% 12.03/2.13  sim_time_fw_demod:                      0.017
% 12.03/2.13  sim_time_bw_demod:                      0.019
% 12.03/2.13  sim_time_light_norm:                    0.075
% 12.03/2.13  sim_time_joinable:                      0.
% 12.03/2.13  sim_time_ac_norm:                       0.
% 12.03/2.13  sim_time_fw_ac_demod:                   0.
% 12.03/2.13  sim_time_bw_ac_demod:                   0.
% 12.03/2.13  sim_time_smt_subs:                      0.
% 12.03/2.13  sim_time_fw_gjoin:                      0.015
% 12.03/2.13  sim_time_fw_connected:                  0.
% 12.03/2.13  
% 12.03/2.13  
%------------------------------------------------------------------------------