TSTP Solution File: BOO026-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : BOO026-1 : TPTP v8.1.2. Released v2.2.0.
% 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 18:09:14 EDT 2023

% Result   : Unsatisfiable 15.84s 2.56s
% Output   : CNFRefutation 15.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   56
%            Number of leaves      :   10
% Syntax   : Number of clauses     :  177 ( 177 unt;   0 nHn;  36 RR)
%            Number of literals    :  177 ( 176 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  200 (  15 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    add(multiply(X0,X1),multiply(X2,X1)) = multiply(X1,add(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_add_property) ).

cnf(c_50,plain,
    add(X0,inverse(X0)) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse) ).

cnf(c_51,plain,
    multiply(add(X0,X1),add(X2,X1)) = add(X1,multiply(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_multiply_property) ).

cnf(c_52,plain,
    multiply(X0,inverse(X0)) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse) ).

cnf(c_53,plain,
    add(multiply(X0,inverse(X0)),add(multiply(X0,X1),multiply(inverse(X0),X1))) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pixley1) ).

cnf(c_54,plain,
    add(multiply(X0,inverse(X1)),add(multiply(X0,X1),multiply(inverse(X1),X1))) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pixley2) ).

cnf(c_56,plain,
    multiply(add(X0,inverse(X0)),multiply(add(X0,X1),add(inverse(X0),X1))) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pixley1_dual) ).

cnf(c_57,plain,
    multiply(add(X0,inverse(X1)),multiply(add(X0,X1),add(inverse(X1),X1))) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pixley2_dual) ).

cnf(c_58,plain,
    multiply(add(X0,inverse(X1)),multiply(add(X0,X0),add(inverse(X1),X0))) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pixley3_dual) ).

cnf(c_59,negated_conjecture,
    multiply(add(a,b),b) != b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_multiply_add) ).

cnf(c_88,plain,
    multiply(add(X0,inverse(X1)),add(X0,multiply(X0,inverse(X1)))) = X0,
    inference(demodulation,[status(thm)],[c_58,c_51]) ).

cnf(c_89,plain,
    multiply(add(X0,inverse(X1)),add(X1,multiply(X0,inverse(X1)))) = X0,
    inference(demodulation,[status(thm)],[c_57,c_51]) ).

cnf(c_90,plain,
    multiply(n1,multiply(add(X0,X1),add(inverse(X0),X1))) = X1,
    inference(light_normalisation,[status(thm)],[c_56,c_50]) ).

cnf(c_91,plain,
    multiply(n1,add(X0,n0)) = X0,
    inference(demodulation,[status(thm)],[c_90,c_51,c_52]) ).

cnf(c_93,plain,
    add(multiply(X0,inverse(X1)),multiply(X1,add(X0,inverse(X1)))) = X0,
    inference(demodulation,[status(thm)],[c_54,c_49]) ).

cnf(c_94,plain,
    add(n0,add(multiply(X0,X1),multiply(inverse(X0),X1))) = X1,
    inference(light_normalisation,[status(thm)],[c_53,c_52]) ).

cnf(c_95,plain,
    add(n0,multiply(X0,n1)) = X0,
    inference(demodulation,[status(thm)],[c_94,c_49,c_50]) ).

cnf(c_153,plain,
    multiply(inverse(X0),add(X0,X1)) = add(n0,multiply(X1,inverse(X0))),
    inference(superposition,[status(thm)],[c_52,c_49]) ).

cnf(c_154,plain,
    add(X0,multiply(X1,add(X0,n0))) = multiply(add(X0,n0),add(n1,X1)),
    inference(superposition,[status(thm)],[c_91,c_49]) ).

cnf(c_161,plain,
    multiply(multiply(X0,add(X1,X2)),add(X3,multiply(X2,X0))) = add(multiply(X2,X0),multiply(multiply(X1,X0),X3)),
    inference(superposition,[status(thm)],[c_49,c_51]) ).

cnf(c_162,plain,
    add(inverse(X0),multiply(X0,X1)) = multiply(n1,add(X1,inverse(X0))),
    inference(superposition,[status(thm)],[c_50,c_51]) ).

cnf(c_163,plain,
    multiply(X0,add(X1,multiply(X0,n1))) = add(multiply(X0,n1),multiply(n0,X1)),
    inference(superposition,[status(thm)],[c_95,c_51]) ).

cnf(c_165,plain,
    add(inverse(X0),multiply(X1,X0)) = multiply(add(X1,inverse(X0)),n1),
    inference(superposition,[status(thm)],[c_50,c_51]) ).

cnf(c_166,plain,
    multiply(add(X0,multiply(X1,n1)),X1) = add(multiply(X1,n1),multiply(X0,n0)),
    inference(superposition,[status(thm)],[c_95,c_51]) ).

cnf(c_167,plain,
    add(add(X0,multiply(X1,X2)),multiply(X3,add(X2,X0))) = multiply(add(X2,X0),add(add(X1,X0),X3)),
    inference(superposition,[status(thm)],[c_51,c_49]) ).

cnf(c_222,plain,
    add(add(n0,multiply(X0,inverse(X1))),multiply(X2,add(X1,X0))) = multiply(add(X1,X0),add(inverse(X1),X2)),
    inference(superposition,[status(thm)],[c_153,c_49]) ).

cnf(c_223,plain,
    add(multiply(X0,add(X1,X2)),add(n0,multiply(X2,inverse(X1)))) = multiply(add(X1,X2),add(X0,inverse(X1))),
    inference(superposition,[status(thm)],[c_153,c_49]) ).

cnf(c_311,plain,
    multiply(n1,add(inverse(X0),inverse(X0))) = add(inverse(X0),n0),
    inference(superposition,[status(thm)],[c_52,c_162]) ).

cnf(c_316,plain,
    add(inverse(X0),multiply(X0,X0)) = multiply(n1,n1),
    inference(superposition,[status(thm)],[c_50,c_162]) ).

cnf(c_325,plain,
    add(multiply(X0,inverse(n1)),add(inverse(n1),multiply(n1,X0))) = X0,
    inference(superposition,[status(thm)],[c_162,c_93]) ).

cnf(c_354,plain,
    add(inverse(add(X0,X1)),add(X1,multiply(X0,X0))) = multiply(n1,n1),
    inference(superposition,[status(thm)],[c_51,c_316]) ).

cnf(c_416,plain,
    add(n0,add(inverse(X0),multiply(X1,X0))) = add(X1,inverse(X0)),
    inference(superposition,[status(thm)],[c_165,c_95]) ).

cnf(c_558,plain,
    multiply(add(X0,n0),add(n1,add(X1,n0))) = add(X0,add(n0,multiply(X1,X0))),
    inference(superposition,[status(thm)],[c_51,c_154]) ).

cnf(c_575,plain,
    add(X0,multiply(n0,add(X0,n0))) = add(n0,multiply(X0,n1)),
    inference(superposition,[status(thm)],[c_154,c_51]) ).

cnf(c_578,plain,
    add(X0,multiply(n0,add(X0,n0))) = X0,
    inference(light_normalisation,[status(thm)],[c_575,c_95]) ).

cnf(c_847,plain,
    add(n0,add(inverse(add(X0,n0)),X0)) = add(n1,inverse(add(X0,n0))),
    inference(superposition,[status(thm)],[c_91,c_416]) ).

cnf(c_1021,plain,
    add(inverse(add(n1,n0)),n1) = multiply(n1,n1),
    inference(superposition,[status(thm)],[c_95,c_354]) ).

cnf(c_1337,plain,
    add(multiply(X0,n1),multiply(n0,multiply(X1,n1))) = multiply(X0,multiply(n1,add(X1,X0))),
    inference(superposition,[status(thm)],[c_49,c_163]) ).

cnf(c_2306,plain,
    add(n1,inverse(add(n1,n0))) = add(n0,multiply(n1,n1)),
    inference(superposition,[status(thm)],[c_1021,c_847]) ).

cnf(c_2315,plain,
    add(n1,inverse(add(n1,n0))) = n1,
    inference(demodulation,[status(thm)],[c_2306,c_95]) ).

cnf(c_2387,plain,
    add(multiply(n0,n1),multiply(multiply(X0,n1),X1)) = multiply(X0,add(X1,multiply(n0,n1))),
    inference(superposition,[status(thm)],[c_91,c_161]) ).

cnf(c_5622,plain,
    multiply(add(n1,n0),add(add(X0,n0),X1)) = add(X0,multiply(X1,add(n1,n0))),
    inference(superposition,[status(thm)],[c_95,c_167]) ).

cnf(c_11230,plain,
    multiply(X0,add(n1,multiply(n0,n1))) = multiply(n1,add(n0,multiply(X0,n1))),
    inference(superposition,[status(thm)],[c_2387,c_49]) ).

cnf(c_11257,plain,
    multiply(X0,add(n1,multiply(n0,n1))) = multiply(n1,X0),
    inference(light_normalisation,[status(thm)],[c_11230,c_95]) ).

cnf(c_11758,plain,
    add(multiply(n0,n1),multiply(X0,n1)) = multiply(n1,add(X0,multiply(n0,n1))),
    inference(superposition,[status(thm)],[c_11257,c_51]) ).

cnf(c_11764,plain,
    add(X0,multiply(multiply(n0,n1),add(X0,n0))) = multiply(n1,add(X0,n0)),
    inference(superposition,[status(thm)],[c_11257,c_154]) ).

cnf(c_11783,plain,
    add(X0,multiply(multiply(n0,n1),add(X0,n0))) = X0,
    inference(light_normalisation,[status(thm)],[c_11764,c_91]) ).

cnf(c_11918,plain,
    multiply(n1,add(X0,multiply(n0,n1))) = multiply(n1,add(n0,X0)),
    inference(demodulation,[status(thm)],[c_11758,c_49]) ).

cnf(c_11921,plain,
    multiply(n1,add(n0,n0)) = multiply(n1,n0),
    inference(superposition,[status(thm)],[c_95,c_11918]) ).

cnf(c_12024,plain,
    multiply(n1,n0) = n0,
    inference(demodulation,[status(thm)],[c_11921,c_91]) ).

cnf(c_12029,plain,
    add(n0,multiply(X0,n0)) = multiply(n0,add(n1,X0)),
    inference(superposition,[status(thm)],[c_12024,c_49]) ).

cnf(c_12030,plain,
    add(multiply(X0,n0),n0) = multiply(n0,add(X0,n1)),
    inference(superposition,[status(thm)],[c_12024,c_49]) ).

cnf(c_12326,plain,
    multiply(add(X0,n0),add(n1,multiply(n0,n1))) = X0,
    inference(superposition,[status(thm)],[c_11783,c_154]) ).

cnf(c_12714,plain,
    add(n0,multiply(inverse(add(n1,n0)),n0)) = multiply(n0,n1),
    inference(superposition,[status(thm)],[c_2315,c_12029]) ).

cnf(c_12739,plain,
    add(n1,add(n0,multiply(n0,n0))) = n1,
    inference(superposition,[status(thm)],[c_12029,c_578]) ).

cnf(c_12741,plain,
    add(n0,multiply(multiply(n0,n1),n0)) = multiply(n1,n0),
    inference(superposition,[status(thm)],[c_12029,c_11257]) ).

cnf(c_12742,plain,
    add(n0,multiply(multiply(n0,n1),n0)) = n0,
    inference(light_normalisation,[status(thm)],[c_12741,c_12024]) ).

cnf(c_13036,plain,
    add(n0,multiply(add(n0,multiply(n0,n0)),n0)) = multiply(n0,n1),
    inference(superposition,[status(thm)],[c_12739,c_12029]) ).

cnf(c_13138,plain,
    add(multiply(inverse(add(n1,n0)),n0),n0) = multiply(n0,multiply(n1,n1)),
    inference(superposition,[status(thm)],[c_1021,c_12030]) ).

cnf(c_14647,plain,
    multiply(n1,multiply(n0,multiply(n1,n1))) = multiply(inverse(add(n1,n0)),n0),
    inference(superposition,[status(thm)],[c_13138,c_91]) ).

cnf(c_15413,plain,
    add(X0,multiply(n0,add(n1,n0))) = add(n0,multiply(n1,add(X0,n0))),
    inference(superposition,[status(thm)],[c_5622,c_51]) ).

cnf(c_15428,plain,
    add(X0,multiply(n0,add(n1,n0))) = add(n0,X0),
    inference(light_normalisation,[status(thm)],[c_15413,c_91]) ).

cnf(c_15675,plain,
    add(X0,add(n0,multiply(n0,n0))) = add(n0,X0),
    inference(demodulation,[status(thm)],[c_15428,c_12029]) ).

cnf(c_15676,plain,
    add(n0,n1) = n1,
    inference(demodulation,[status(thm)],[c_12739,c_15675]) ).

cnf(c_15874,plain,
    add(n1,multiply(n0,X0)) = multiply(n1,add(X0,n1)),
    inference(superposition,[status(thm)],[c_15676,c_51]) ).

cnf(c_15875,plain,
    add(n1,multiply(X0,n0)) = multiply(add(X0,n1),n1),
    inference(superposition,[status(thm)],[c_15676,c_51]) ).

cnf(c_15876,plain,
    add(multiply(n0,n0),n0) = multiply(n0,n1),
    inference(superposition,[status(thm)],[c_15676,c_12030]) ).

cnf(c_15906,plain,
    add(X0,add(n0,multiply(multiply(n0,n0),X0))) = multiply(add(X0,n0),add(n1,multiply(n0,n1))),
    inference(superposition,[status(thm)],[c_15876,c_558]) ).

cnf(c_15923,plain,
    multiply(n1,multiply(n0,n1)) = multiply(n0,n0),
    inference(superposition,[status(thm)],[c_15876,c_91]) ).

cnf(c_15926,plain,
    add(X0,add(n0,multiply(multiply(n0,n0),X0))) = X0,
    inference(light_normalisation,[status(thm)],[c_15906,c_12326]) ).

cnf(c_16620,plain,
    add(n1,multiply(n0,n0)) = multiply(n1,n1),
    inference(superposition,[status(thm)],[c_15676,c_15874]) ).

cnf(c_16868,plain,
    add(n0,add(n1,multiply(X0,n0))) = add(X0,n1),
    inference(superposition,[status(thm)],[c_15875,c_95]) ).

cnf(c_16992,plain,
    add(n1,multiply(n0,n0)) = n1,
    inference(superposition,[status(thm)],[c_95,c_15926]) ).

cnf(c_17024,plain,
    multiply(n1,n1) = n1,
    inference(demodulation,[status(thm)],[c_16620,c_16992]) ).

cnf(c_17026,plain,
    multiply(inverse(add(n1,n0)),n0) = multiply(n1,multiply(n0,n1)),
    inference(demodulation,[status(thm)],[c_14647,c_17024]) ).

cnf(c_17058,plain,
    multiply(inverse(add(n1,n0)),n0) = multiply(n0,n0),
    inference(light_normalisation,[status(thm)],[c_17026,c_15923]) ).

cnf(c_17059,plain,
    add(n0,multiply(n0,n0)) = multiply(n0,n1),
    inference(demodulation,[status(thm)],[c_12714,c_17058]) ).

cnf(c_17061,plain,
    add(n0,multiply(multiply(n0,n1),n0)) = multiply(n0,n1),
    inference(demodulation,[status(thm)],[c_13036,c_17059]) ).

cnf(c_17062,plain,
    multiply(n0,n1) = n0,
    inference(light_normalisation,[status(thm)],[c_17061,c_12742]) ).

cnf(c_17063,plain,
    multiply(n1,n0) = multiply(n0,n0),
    inference(demodulation,[status(thm)],[c_15923,c_17062]) ).

cnf(c_17070,plain,
    multiply(n1,add(X0,n0)) = multiply(n1,add(n0,X0)),
    inference(demodulation,[status(thm)],[c_11918,c_17062]) ).

cnf(c_17075,plain,
    multiply(n1,add(n0,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_17070,c_91]) ).

cnf(c_17076,plain,
    multiply(n0,n0) = n0,
    inference(light_normalisation,[status(thm)],[c_17063,c_12024]) ).

cnf(c_17479,plain,
    add(n1,n0) = n1,
    inference(light_normalisation,[status(thm)],[c_16992,c_17076]) ).

cnf(c_17492,plain,
    add(n0,multiply(n1,X0)) = multiply(n1,add(X0,n0)),
    inference(superposition,[status(thm)],[c_17479,c_51]) ).

cnf(c_17493,plain,
    add(n0,multiply(X0,n1)) = multiply(add(X0,n0),n1),
    inference(superposition,[status(thm)],[c_17479,c_51]) ).

cnf(c_17510,plain,
    add(n1,multiply(X0,n1)) = multiply(n1,add(n1,X0)),
    inference(superposition,[status(thm)],[c_17479,c_154]) ).

cnf(c_17518,plain,
    multiply(add(X0,n0),n1) = X0,
    inference(light_normalisation,[status(thm)],[c_17493,c_95]) ).

cnf(c_17519,plain,
    add(n0,multiply(n1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_17492,c_91]) ).

cnf(c_17619,plain,
    add(X0,n0) = add(n0,X0),
    inference(superposition,[status(thm)],[c_17518,c_95]) ).

cnf(c_17624,plain,
    multiply(n1,add(inverse(X0),inverse(X0))) = add(n0,inverse(X0)),
    inference(demodulation,[status(thm)],[c_311,c_17619]) ).

cnf(c_17772,plain,
    add(n0,n0) = inverse(n1),
    inference(superposition,[status(thm)],[c_52,c_17519]) ).

cnf(c_17779,plain,
    add(n0,n0) = n0,
    inference(superposition,[status(thm)],[c_12024,c_17519]) ).

cnf(c_17866,plain,
    inverse(n1) = n0,
    inference(demodulation,[status(thm)],[c_17772,c_17779]) ).

cnf(c_17868,plain,
    add(multiply(X0,n0),add(n0,multiply(n1,X0))) = X0,
    inference(demodulation,[status(thm)],[c_325,c_17866]) ).

cnf(c_17869,plain,
    add(multiply(X0,n0),X0) = X0,
    inference(light_normalisation,[status(thm)],[c_17868,c_17519]) ).

cnf(c_17896,plain,
    multiply(add(X0,n0),add(n1,multiply(X0,n0))) = X0,
    inference(superposition,[status(thm)],[c_17866,c_89]) ).

cnf(c_18152,plain,
    add(multiply(X0,n1),n0) = multiply(n1,add(X0,n0)),
    inference(superposition,[status(thm)],[c_17062,c_49]) ).

cnf(c_18166,plain,
    add(multiply(X0,n1),n0) = X0,
    inference(light_normalisation,[status(thm)],[c_18152,c_91]) ).

cnf(c_18234,plain,
    multiply(n1,n1) = inverse(n0),
    inference(superposition,[status(thm)],[c_50,c_17075]) ).

cnf(c_18235,plain,
    multiply(X0,n1) = multiply(n1,X0),
    inference(superposition,[status(thm)],[c_95,c_17075]) ).

cnf(c_18259,plain,
    add(multiply(X0,n1),multiply(n0,multiply(n0,n1))) = multiply(X0,X0),
    inference(superposition,[status(thm)],[c_17075,c_1337]) ).

cnf(c_18261,plain,
    inverse(n0) = n1,
    inference(light_normalisation,[status(thm)],[c_18234,c_17024]) ).

cnf(c_18265,plain,
    multiply(X0,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_18259,c_17062,c_17076,c_18166]) ).

cnf(c_18327,plain,
    multiply(add(X0,n1),add(n0,multiply(X0,n1))) = X0,
    inference(superposition,[status(thm)],[c_18261,c_89]) ).

cnf(c_18329,plain,
    multiply(add(X0,n1),X0) = X0,
    inference(light_normalisation,[status(thm)],[c_18327,c_95]) ).

cnf(c_18353,plain,
    add(n0,add(inverse(X0),X0)) = add(X0,inverse(X0)),
    inference(superposition,[status(thm)],[c_18265,c_416]) ).

cnf(c_18356,plain,
    add(X0,multiply(X1,X0)) = multiply(X0,add(X0,X1)),
    inference(superposition,[status(thm)],[c_18265,c_49]) ).

cnf(c_18360,plain,
    add(X0,multiply(X1,X1)) = add(X1,X0),
    inference(superposition,[status(thm)],[c_18265,c_51]) ).

cnf(c_18367,plain,
    multiply(add(inverse(X0),inverse(X0)),add(X0,inverse(X0))) = inverse(X0),
    inference(superposition,[status(thm)],[c_18265,c_89]) ).

cnf(c_18388,plain,
    add(n0,add(inverse(X0),X0)) = n1,
    inference(light_normalisation,[status(thm)],[c_18353,c_50]) ).

cnf(c_18390,plain,
    multiply(add(inverse(X0),inverse(X0)),n1) = inverse(X0),
    inference(light_normalisation,[status(thm)],[c_18367,c_50]) ).

cnf(c_18640,plain,
    multiply(n0,add(multiply(X0,n0),X0)) = multiply(X0,n0),
    inference(superposition,[status(thm)],[c_17869,c_49]) ).

cnf(c_18676,plain,
    multiply(X0,n0) = multiply(n0,X0),
    inference(light_normalisation,[status(thm)],[c_18640,c_17869]) ).

cnf(c_19474,plain,
    add(add(X0,n1),inverse(X0)) = add(n0,add(inverse(X0),X0)),
    inference(superposition,[status(thm)],[c_18329,c_416]) ).

cnf(c_19509,plain,
    add(add(X0,n1),inverse(X0)) = n1,
    inference(light_normalisation,[status(thm)],[c_19474,c_18388]) ).

cnf(c_20048,plain,
    add(X0,X1) = add(X1,X0),
    inference(demodulation,[status(thm)],[c_18360,c_18265]) ).

cnf(c_20050,plain,
    multiply(add(b,a),b) != b,
    inference(demodulation,[status(thm)],[c_59,c_20048]) ).

cnf(c_20052,plain,
    add(X0,multiply(X0,n0)) = X0,
    inference(demodulation,[status(thm)],[c_17869,c_20048]) ).

cnf(c_20270,plain,
    add(n0,inverse(X0)) = inverse(X0),
    inference(demodulation,[status(thm)],[c_18390,c_17624,c_18235]) ).

cnf(c_20284,plain,
    add(multiply(n0,inverse(X0)),multiply(X0,inverse(X0))) = n0,
    inference(superposition,[status(thm)],[c_20270,c_93]) ).

cnf(c_20290,plain,
    multiply(n1,inverse(X0)) = inverse(X0),
    inference(superposition,[status(thm)],[c_20270,c_17075]) ).

cnf(c_20292,plain,
    add(multiply(n0,inverse(X0)),n0) = n0,
    inference(light_normalisation,[status(thm)],[c_20284,c_52]) ).

cnf(c_20567,plain,
    multiply(add(n1,inverse(X0)),add(X0,inverse(X0))) = n1,
    inference(superposition,[status(thm)],[c_20290,c_89]) ).

cnf(c_20573,plain,
    multiply(add(n1,inverse(X0)),n1) = n1,
    inference(light_normalisation,[status(thm)],[c_20567,c_50]) ).

cnf(c_20835,plain,
    add(n0,multiply(n0,inverse(X0))) = n0,
    inference(demodulation,[status(thm)],[c_20292,c_20048]) ).

cnf(c_20851,plain,
    multiply(add(n0,inverse(X0)),n0) = n0,
    inference(superposition,[status(thm)],[c_20835,c_88]) ).

cnf(c_20858,plain,
    multiply(n0,inverse(X0)) = multiply(n1,n0),
    inference(superposition,[status(thm)],[c_20835,c_17075]) ).

cnf(c_20859,plain,
    multiply(n0,inverse(X0)) = n0,
    inference(light_normalisation,[status(thm)],[c_20858,c_12024]) ).

cnf(c_20861,plain,
    multiply(inverse(X0),n0) = n0,
    inference(light_normalisation,[status(thm)],[c_20851,c_20270]) ).

cnf(c_21153,plain,
    add(n1,inverse(X0)) = n1,
    inference(demodulation,[status(thm)],[c_20573,c_17510,c_18235,c_20290]) ).

cnf(c_21164,plain,
    add(multiply(n1,inverse(X0)),multiply(X0,n1)) = n1,
    inference(superposition,[status(thm)],[c_21153,c_93]) ).

cnf(c_21176,plain,
    add(inverse(X0),multiply(X0,n1)) = n1,
    inference(light_normalisation,[status(thm)],[c_21164,c_20290]) ).

cnf(c_21226,plain,
    add(inverse(X0),add(X0,n1)) = n1,
    inference(demodulation,[status(thm)],[c_19509,c_20048]) ).

cnf(c_21229,plain,
    add(inverse(X0),add(n1,X0)) = n1,
    inference(superposition,[status(thm)],[c_20048,c_21226]) ).

cnf(c_21273,plain,
    add(multiply(X0,n1),multiply(n0,inverse(X0))) = multiply(X0,n1),
    inference(superposition,[status(thm)],[c_21176,c_163]) ).

cnf(c_21276,plain,
    add(multiply(X0,n1),multiply(inverse(X0),n0)) = multiply(n1,X0),
    inference(superposition,[status(thm)],[c_21176,c_166]) ).

cnf(c_21284,plain,
    multiply(n1,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_21276,c_18166,c_20861]) ).

cnf(c_21285,plain,
    multiply(X0,n1) = X0,
    inference(light_normalisation,[status(thm)],[c_21273,c_18166,c_20859]) ).

cnf(c_21292,plain,
    add(X0,n0) = X0,
    inference(demodulation,[status(thm)],[c_91,c_21284]) ).

cnf(c_21294,plain,
    add(n0,X0) = X0,
    inference(demodulation,[status(thm)],[c_17075,c_21284]) ).

cnf(c_21338,plain,
    add(multiply(X0,X1),X1) = multiply(X1,add(X0,n1)),
    inference(superposition,[status(thm)],[c_21284,c_49]) ).

cnf(c_21399,plain,
    add(n0,multiply(X0,X1)) = multiply(add(X0,n0),X1),
    inference(superposition,[status(thm)],[c_21292,c_51]) ).

cnf(c_21403,plain,
    add(n0,multiply(X0,X1)) = multiply(X0,X1),
    inference(light_normalisation,[status(thm)],[c_21399,c_21292]) ).

cnf(c_21563,plain,
    add(n1,multiply(X0,n0)) = add(X0,n1),
    inference(demodulation,[status(thm)],[c_16868,c_21294]) ).

cnf(c_21566,plain,
    add(n1,multiply(n0,X0)) = add(X0,n1),
    inference(superposition,[status(thm)],[c_18676,c_21563]) ).

cnf(c_21579,plain,
    add(inverse(multiply(X0,n0)),add(X0,n1)) = n1,
    inference(superposition,[status(thm)],[c_21563,c_21229]) ).

cnf(c_21874,plain,
    multiply(X0,add(X0,n1)) = X0,
    inference(light_normalisation,[status(thm)],[c_17896,c_21292,c_21563]) ).

cnf(c_21875,plain,
    add(X0,X0) = X0,
    inference(demodulation,[status(thm)],[c_21874,c_18356,c_21284]) ).

cnf(c_21880,plain,
    multiply(X0,add(X1,X1)) = multiply(X1,X0),
    inference(superposition,[status(thm)],[c_21875,c_49]) ).

cnf(c_22100,plain,
    multiply(X0,X1) = multiply(X1,X0),
    inference(demodulation,[status(thm)],[c_21880,c_21875]) ).

cnf(c_22102,plain,
    multiply(b,add(b,a)) != b,
    inference(demodulation,[status(thm)],[c_20050,c_22100]) ).

cnf(c_22248,plain,
    add(b,multiply(b,a)) != b,
    inference(demodulation,[status(thm)],[c_22102,c_18356,c_22100]) ).

cnf(c_22593,plain,
    add(n1,add(n0,multiply(X0,n0))) = add(add(n0,X0),n1),
    inference(superposition,[status(thm)],[c_18356,c_21566]) ).

cnf(c_22602,plain,
    add(n1,add(n0,multiply(X0,n0))) = add(X0,n1),
    inference(light_normalisation,[status(thm)],[c_22593,c_21294]) ).

cnf(c_22913,plain,
    add(add(X0,n1),inverse(multiply(X0,n0))) = n1,
    inference(demodulation,[status(thm)],[c_21579,c_20048]) ).

cnf(c_22918,plain,
    add(add(X0,n1),inverse(multiply(n0,X0))) = n1,
    inference(superposition,[status(thm)],[c_22100,c_22913]) ).

cnf(c_23620,plain,
    add(X0,multiply(X1,X0)) = multiply(X0,add(X1,n1)),
    inference(demodulation,[status(thm)],[c_21338,c_20048]) ).

cnf(c_23689,plain,
    add(n1,add(n0,multiply(X0,n0))) = add(add(X0,n1),n1),
    inference(superposition,[status(thm)],[c_23620,c_21566]) ).

cnf(c_23705,plain,
    add(add(X0,n1),n1) = add(X0,n1),
    inference(light_normalisation,[status(thm)],[c_23689,c_22602]) ).

cnf(c_24570,plain,
    add(multiply(X0,inverse(X1)),multiply(X2,add(X1,X0))) = multiply(add(X1,X0),add(inverse(X1),X2)),
    inference(demodulation,[status(thm)],[c_222,c_21403]) ).

cnf(c_24598,plain,
    add(multiply(n0,inverse(X0)),multiply(X1,X0)) = multiply(X0,add(inverse(X0),X1)),
    inference(superposition,[status(thm)],[c_21292,c_24570]) ).

cnf(c_24634,plain,
    multiply(X0,add(inverse(X0),X1)) = add(n0,multiply(X1,X0)),
    inference(light_normalisation,[status(thm)],[c_24598,c_20859]) ).

cnf(c_25397,plain,
    multiply(add(X0,X1),add(inverse(X0),X2)) = multiply(add(X0,X1),add(X2,inverse(X0))),
    inference(demodulation,[status(thm)],[c_223,c_20048,c_21403,c_24570]) ).

cnf(c_25453,plain,
    multiply(X0,add(inverse(X0),X1)) = multiply(X0,add(X1,inverse(X0))),
    inference(superposition,[status(thm)],[c_20052,c_25397]) ).

cnf(c_25503,plain,
    multiply(X0,add(X1,inverse(X0))) = add(n0,multiply(X1,X0)),
    inference(light_normalisation,[status(thm)],[c_25453,c_24634]) ).

cnf(c_25529,plain,
    add(multiply(X0,inverse(X1)),add(n0,multiply(X0,X1))) = X0,
    inference(demodulation,[status(thm)],[c_93,c_25503]) ).

cnf(c_25530,plain,
    add(multiply(X0,inverse(X1)),multiply(X0,X1)) = X0,
    inference(light_normalisation,[status(thm)],[c_25529,c_21403]) ).

cnf(c_25792,plain,
    add(multiply(X0,X1),multiply(X0,inverse(X1))) = X0,
    inference(demodulation,[status(thm)],[c_25530,c_20048]) ).

cnf(c_25824,plain,
    add(multiply(n0,X0),n0) = n0,
    inference(superposition,[status(thm)],[c_20859,c_25792]) ).

cnf(c_25958,plain,
    multiply(n0,X0) = n0,
    inference(demodulation,[status(thm)],[c_25824,c_21292]) ).

cnf(c_25963,plain,
    add(add(X0,n1),inverse(n0)) = n1,
    inference(demodulation,[status(thm)],[c_22918,c_25958]) ).

cnf(c_25968,plain,
    add(X0,n1) = n1,
    inference(light_normalisation,[status(thm)],[c_25963,c_18261,c_23705]) ).

cnf(c_25975,plain,
    add(X0,multiply(X1,X0)) = multiply(X0,n1),
    inference(demodulation,[status(thm)],[c_23620,c_25968]) ).

cnf(c_25976,plain,
    add(X0,multiply(X1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_25975,c_21285]) ).

cnf(c_26228,plain,
    add(X0,multiply(X0,X1)) = X0,
    inference(superposition,[status(thm)],[c_22100,c_25976]) ).

cnf(c_26272,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_22248,c_26228]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem  : BOO026-1 : TPTP v8.1.2. Released v2.2.0.
% 0.04/0.10  % Command  : run_iprover %s %d THM
% 0.09/0.30  % Computer : n009.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Sun Aug 27 08:13:20 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.14/0.40  Running UEQ theorem proving
% 0.14/0.40  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
% 15.84/2.56  % SZS status Started for theBenchmark.p
% 15.84/2.56  % SZS status Unsatisfiable for theBenchmark.p
% 15.84/2.56  
% 15.84/2.56  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 15.84/2.56  
% 15.84/2.56  ------  iProver source info
% 15.84/2.56  
% 15.84/2.56  git: date: 2023-05-31 18:12:56 +0000
% 15.84/2.56  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 15.84/2.56  git: non_committed_changes: false
% 15.84/2.56  git: last_make_outside_of_git: false
% 15.84/2.56  
% 15.84/2.56  ------ Parsing...successful
% 15.84/2.56  
% 15.84/2.56  
% 15.84/2.56  
% 15.84/2.56  ------ Preprocessing... sup_sim: 6  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 15.84/2.56  
% 15.84/2.56  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 15.84/2.56  
% 15.84/2.56  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 15.84/2.56  ------ Proving...
% 15.84/2.56  ------ Problem Properties 
% 15.84/2.56  
% 15.84/2.56  
% 15.84/2.56  clauses                                 11
% 15.84/2.56  conjectures                             1
% 15.84/2.56  EPR                                     0
% 15.84/2.56  Horn                                    11
% 15.84/2.56  unary                                   11
% 15.84/2.56  binary                                  0
% 15.84/2.56  lits                                    11
% 15.84/2.56  lits eq                                 11
% 15.84/2.56  fd_pure                                 0
% 15.84/2.56  fd_pseudo                               0
% 15.84/2.56  fd_cond                                 0
% 15.84/2.56  fd_pseudo_cond                          0
% 15.84/2.56  AC symbols                              0
% 15.84/2.56  
% 15.84/2.56  ------ Input Options Time Limit: Unbounded
% 15.84/2.56  
% 15.84/2.56  
% 15.84/2.56  ------ 
% 15.84/2.56  Current options:
% 15.84/2.56  ------ 
% 15.84/2.56  
% 15.84/2.56  ------ Input Options
% 15.84/2.56  
% 15.84/2.56  --out_options                           all
% 15.84/2.56  --tptp_safe_out                         true
% 15.84/2.56  --problem_path                          ""
% 15.84/2.56  --include_path                          ""
% 15.84/2.56  --clausifier                            res/vclausify_rel
% 15.84/2.56  --clausifier_options                    --mode clausify -t 305.00 
% 15.84/2.56  --stdin                                 false
% 15.84/2.56  --proof_out                             true
% 15.84/2.56  --proof_dot_file                        ""
% 15.84/2.56  --proof_reduce_dot                      []
% 15.84/2.56  --suppress_sat_res                      true
% 15.84/2.56  --suppress_unsat_res                    false
% 15.84/2.56  --stats_out                             all
% 15.84/2.56  --stats_mem                             false
% 15.84/2.56  --theory_stats_out                      false
% 15.84/2.56  
% 15.84/2.56  ------ General Options
% 15.84/2.56  
% 15.84/2.56  --fof                                   false
% 15.84/2.56  --time_out_real                         305.
% 15.84/2.56  --time_out_virtual                      -1.
% 15.84/2.56  --rnd_seed                              13
% 15.84/2.56  --symbol_type_check                     false
% 15.84/2.56  --clausify_out                          false
% 15.84/2.56  --sig_cnt_out                           false
% 15.84/2.56  --trig_cnt_out                          false
% 15.84/2.56  --trig_cnt_out_tolerance                1.
% 15.84/2.56  --trig_cnt_out_sk_spl                   false
% 15.84/2.56  --abstr_cl_out                          false
% 15.84/2.56  
% 15.84/2.56  ------ Interactive Mode
% 15.84/2.56  
% 15.84/2.56  --interactive_mode                      false
% 15.84/2.56  --external_ip_address                   ""
% 15.84/2.56  --external_port                         0
% 15.84/2.56  
% 15.84/2.56  ------ Global Options
% 15.84/2.56  
% 15.84/2.56  --schedule                              none
% 15.84/2.56  --add_important_lit                     false
% 15.84/2.56  --prop_solver_per_cl                    500
% 15.84/2.56  --subs_bck_mult                         8
% 15.84/2.56  --min_unsat_core                        false
% 15.84/2.56  --soft_assumptions                      false
% 15.84/2.56  --soft_lemma_size                       3
% 15.84/2.56  --prop_impl_unit_size                   0
% 15.84/2.56  --prop_impl_unit                        []
% 15.84/2.56  --share_sel_clauses                     true
% 15.84/2.56  --reset_solvers                         false
% 15.84/2.56  --bc_imp_inh                            [conj_cone]
% 15.84/2.56  --conj_cone_tolerance                   3.
% 15.84/2.56  --extra_neg_conj                        none
% 15.84/2.56  --large_theory_mode                     true
% 15.84/2.56  --prolific_symb_bound                   200
% 15.84/2.56  --lt_threshold                          2000
% 15.84/2.56  --clause_weak_htbl                      true
% 15.84/2.56  --gc_record_bc_elim                     false
% 15.84/2.56  
% 15.84/2.56  ------ Preprocessing Options
% 15.84/2.56  
% 15.84/2.56  --preprocessing_flag                    true
% 15.84/2.56  --time_out_prep_mult                    0.1
% 15.84/2.56  --splitting_mode                        input
% 15.84/2.56  --splitting_grd                         true
% 15.84/2.56  --splitting_cvd                         false
% 15.84/2.56  --splitting_cvd_svl                     false
% 15.84/2.56  --splitting_nvd                         32
% 15.84/2.56  --sub_typing                            false
% 15.84/2.56  --prep_gs_sim                           true
% 15.84/2.56  --prep_unflatten                        true
% 15.84/2.56  --prep_res_sim                          true
% 15.84/2.56  --prep_sup_sim_all                      true
% 15.84/2.56  --prep_sup_sim_sup                      false
% 15.84/2.56  --prep_upred                            true
% 15.84/2.56  --prep_well_definedness                 true
% 15.84/2.56  --prep_sem_filter                       exhaustive
% 15.84/2.56  --prep_sem_filter_out                   false
% 15.84/2.56  --pred_elim                             true
% 15.84/2.56  --res_sim_input                         true
% 15.84/2.56  --eq_ax_congr_red                       true
% 15.84/2.56  --pure_diseq_elim                       true
% 15.84/2.56  --brand_transform                       false
% 15.84/2.56  --non_eq_to_eq                          false
% 15.84/2.56  --prep_def_merge                        true
% 15.84/2.56  --prep_def_merge_prop_impl              false
% 15.84/2.56  --prep_def_merge_mbd                    true
% 15.84/2.56  --prep_def_merge_tr_red                 false
% 15.84/2.56  --prep_def_merge_tr_cl                  false
% 15.84/2.56  --smt_preprocessing                     false
% 15.84/2.56  --smt_ac_axioms                         fast
% 15.84/2.56  --preprocessed_out                      false
% 15.84/2.56  --preprocessed_stats                    false
% 15.84/2.56  
% 15.84/2.56  ------ Abstraction refinement Options
% 15.84/2.56  
% 15.84/2.56  --abstr_ref                             []
% 15.84/2.56  --abstr_ref_prep                        false
% 15.84/2.56  --abstr_ref_until_sat                   false
% 15.84/2.56  --abstr_ref_sig_restrict                funpre
% 15.84/2.56  --abstr_ref_af_restrict_to_split_sk     false
% 15.84/2.56  --abstr_ref_under                       []
% 15.84/2.56  
% 15.84/2.56  ------ SAT Options
% 15.84/2.56  
% 15.84/2.56  --sat_mode                              false
% 15.84/2.56  --sat_fm_restart_options                ""
% 15.84/2.56  --sat_gr_def                            false
% 15.84/2.56  --sat_epr_types                         true
% 15.84/2.56  --sat_non_cyclic_types                  false
% 15.84/2.56  --sat_finite_models                     false
% 15.84/2.56  --sat_fm_lemmas                         false
% 15.84/2.56  --sat_fm_prep                           false
% 15.84/2.56  --sat_fm_uc_incr                        true
% 15.84/2.56  --sat_out_model                         small
% 15.84/2.56  --sat_out_clauses                       false
% 15.84/2.56  
% 15.84/2.56  ------ QBF Options
% 15.84/2.56  
% 15.84/2.56  --qbf_mode                              false
% 15.84/2.56  --qbf_elim_univ                         false
% 15.84/2.56  --qbf_dom_inst                          none
% 15.84/2.56  --qbf_dom_pre_inst                      false
% 15.84/2.56  --qbf_sk_in                             false
% 15.84/2.56  --qbf_pred_elim                         true
% 15.84/2.56  --qbf_split                             512
% 15.84/2.56  
% 15.84/2.56  ------ BMC1 Options
% 15.84/2.56  
% 15.84/2.56  --bmc1_incremental                      false
% 15.84/2.56  --bmc1_axioms                           reachable_all
% 15.84/2.56  --bmc1_min_bound                        0
% 15.84/2.56  --bmc1_max_bound                        -1
% 15.84/2.56  --bmc1_max_bound_default                -1
% 15.84/2.56  --bmc1_symbol_reachability              true
% 15.84/2.56  --bmc1_property_lemmas                  false
% 15.84/2.56  --bmc1_k_induction                      false
% 15.84/2.56  --bmc1_non_equiv_states                 false
% 15.84/2.56  --bmc1_deadlock                         false
% 15.84/2.56  --bmc1_ucm                              false
% 15.84/2.56  --bmc1_add_unsat_core                   none
% 15.84/2.56  --bmc1_unsat_core_children              false
% 15.84/2.56  --bmc1_unsat_core_extrapolate_axioms    false
% 15.84/2.56  --bmc1_out_stat                         full
% 15.84/2.56  --bmc1_ground_init                      false
% 15.84/2.56  --bmc1_pre_inst_next_state              false
% 15.84/2.56  --bmc1_pre_inst_state                   false
% 15.84/2.56  --bmc1_pre_inst_reach_state             false
% 15.84/2.56  --bmc1_out_unsat_core                   false
% 15.84/2.56  --bmc1_aig_witness_out                  false
% 15.84/2.56  --bmc1_verbose                          false
% 15.84/2.56  --bmc1_dump_clauses_tptp                false
% 15.84/2.56  --bmc1_dump_unsat_core_tptp             false
% 15.84/2.56  --bmc1_dump_file                        -
% 15.84/2.56  --bmc1_ucm_expand_uc_limit              128
% 15.84/2.56  --bmc1_ucm_n_expand_iterations          6
% 15.84/2.56  --bmc1_ucm_extend_mode                  1
% 15.84/2.56  --bmc1_ucm_init_mode                    2
% 15.84/2.56  --bmc1_ucm_cone_mode                    none
% 15.84/2.56  --bmc1_ucm_reduced_relation_type        0
% 15.84/2.56  --bmc1_ucm_relax_model                  4
% 15.84/2.56  --bmc1_ucm_full_tr_after_sat            true
% 15.84/2.56  --bmc1_ucm_expand_neg_assumptions       false
% 15.84/2.56  --bmc1_ucm_layered_model                none
% 15.84/2.56  --bmc1_ucm_max_lemma_size               10
% 15.84/2.56  
% 15.84/2.56  ------ AIG Options
% 15.84/2.56  
% 15.84/2.56  --aig_mode                              false
% 15.84/2.56  
% 15.84/2.56  ------ Instantiation Options
% 15.84/2.56  
% 15.84/2.56  --instantiation_flag                    true
% 15.84/2.56  --inst_sos_flag                         false
% 15.84/2.56  --inst_sos_phase                        true
% 15.84/2.56  --inst_sos_sth_lit_sel                  [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 15.84/2.56  --inst_lit_sel                          [+prop;+sign;+ground;-num_var;-num_symb]
% 15.84/2.56  --inst_lit_sel_side                     num_symb
% 15.84/2.56  --inst_solver_per_active                1400
% 15.84/2.56  --inst_solver_calls_frac                1.
% 15.84/2.56  --inst_to_smt_solver                    true
% 15.84/2.56  --inst_passive_queue_type               priority_queues
% 15.84/2.56  --inst_passive_queues                   [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 15.84/2.56  --inst_passive_queues_freq              [25;2]
% 15.84/2.56  --inst_dismatching                      true
% 15.84/2.56  --inst_eager_unprocessed_to_passive     true
% 15.84/2.56  --inst_unprocessed_bound                1000
% 15.84/2.56  --inst_prop_sim_given                   true
% 15.84/2.56  --inst_prop_sim_new                     false
% 15.84/2.56  --inst_subs_new                         false
% 15.84/2.56  --inst_eq_res_simp                      false
% 15.84/2.56  --inst_subs_given                       false
% 15.84/2.56  --inst_orphan_elimination               true
% 15.84/2.56  --inst_learning_loop_flag               true
% 15.84/2.56  --inst_learning_start                   3000
% 15.84/2.56  --inst_learning_factor                  2
% 15.84/2.56  --inst_start_prop_sim_after_learn       3
% 15.84/2.56  --inst_sel_renew                        solver
% 15.84/2.56  --inst_lit_activity_flag                true
% 15.84/2.56  --inst_restr_to_given                   false
% 15.84/2.56  --inst_activity_threshold               500
% 15.84/2.56  
% 15.84/2.56  ------ Resolution Options
% 15.84/2.56  
% 15.84/2.56  --resolution_flag                       true
% 15.84/2.56  --res_lit_sel                           adaptive
% 15.84/2.56  --res_lit_sel_side                      none
% 15.84/2.56  --res_ordering                          kbo
% 15.84/2.56  --res_to_prop_solver                    active
% 15.84/2.56  --res_prop_simpl_new                    false
% 15.84/2.56  --res_prop_simpl_given                  true
% 15.84/2.56  --res_to_smt_solver                     true
% 15.84/2.56  --res_passive_queue_type                priority_queues
% 15.84/2.56  --res_passive_queues                    [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 15.84/2.56  --res_passive_queues_freq               [15;5]
% 15.84/2.56  --res_forward_subs                      full
% 15.84/2.56  --res_backward_subs                     full
% 15.84/2.56  --res_forward_subs_resolution           true
% 15.84/2.56  --res_backward_subs_resolution          true
% 15.84/2.56  --res_orphan_elimination                true
% 15.84/2.56  --res_time_limit                        300.
% 15.84/2.56  
% 15.84/2.56  ------ Superposition Options
% 15.84/2.56  
% 15.84/2.56  --superposition_flag                    true
% 15.84/2.56  --sup_passive_queue_type                priority_queues
% 15.84/2.56  --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]]
% 15.84/2.56  --sup_passive_queues_freq               [8;1;4;4]
% 15.84/2.56  --demod_completeness_check              fast
% 15.84/2.56  --demod_use_ground                      true
% 15.84/2.56  --sup_unprocessed_bound                 0
% 15.84/2.56  --sup_to_prop_solver                    passive
% 15.84/2.56  --sup_prop_simpl_new                    true
% 15.84/2.56  --sup_prop_simpl_given                  true
% 15.84/2.56  --sup_fun_splitting                     false
% 15.84/2.56  --sup_iter_deepening                    2
% 15.84/2.56  --sup_restarts_mult                     12
% 15.84/2.56  --sup_score                             sim_d_gen
% 15.84/2.56  --sup_share_score_frac                  0.2
% 15.84/2.56  --sup_share_max_num_cl                  500
% 15.84/2.56  --sup_ordering                          kbo
% 15.84/2.56  --sup_symb_ordering                     invfreq
% 15.84/2.56  --sup_term_weight                       default
% 15.84/2.56  
% 15.84/2.56  ------ Superposition Simplification Setup
% 15.84/2.56  
% 15.84/2.56  --sup_indices_passive                   [LightNormIndex;FwDemodIndex]
% 15.84/2.56  --sup_full_triv                         [SMTSimplify;PropSubs]
% 15.84/2.56  --sup_full_fw                           [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 15.84/2.56  --sup_full_bw                           [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 15.84/2.56  --sup_immed_triv                        []
% 15.84/2.56  --sup_immed_fw_main                     [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 15.84/2.56  --sup_immed_fw_immed                    [ACNormalisation;FwUnitSubsAndRes]
% 15.84/2.56  --sup_immed_bw_main                     [BwUnitSubsAndRes;BwDemod]
% 15.84/2.56  --sup_immed_bw_immed                    [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 15.84/2.56  --sup_input_triv                        [Unflattening;SMTSimplify]
% 15.84/2.56  --sup_input_fw                          [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 15.84/2.56  --sup_input_bw                          [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 15.84/2.56  --sup_full_fixpoint                     true
% 15.84/2.56  --sup_main_fixpoint                     true
% 15.84/2.56  --sup_immed_fixpoint                    false
% 15.84/2.56  --sup_input_fixpoint                    true
% 15.84/2.56  --sup_cache_sim                         none
% 15.84/2.56  --sup_smt_interval                      500
% 15.84/2.56  --sup_bw_gjoin_interval                 0
% 15.84/2.56  
% 15.84/2.56  ------ Combination Options
% 15.84/2.56  
% 15.84/2.56  --comb_mode                             clause_based
% 15.84/2.56  --comb_inst_mult                        5
% 15.84/2.56  --comb_res_mult                         1
% 15.84/2.56  --comb_sup_mult                         8
% 15.84/2.56  --comb_sup_deep_mult                    2
% 15.84/2.56  
% 15.84/2.56  ------ Debug Options
% 15.84/2.56  
% 15.84/2.56  --dbg_backtrace                         false
% 15.84/2.56  --dbg_dump_prop_clauses                 false
% 15.84/2.56  --dbg_dump_prop_clauses_file            -
% 15.84/2.56  --dbg_out_stat                          false
% 15.84/2.56  --dbg_just_parse                        false
% 15.84/2.56  
% 15.84/2.56  
% 15.84/2.56  
% 15.84/2.56  
% 15.84/2.56  ------ Proving...
% 15.84/2.56  
% 15.84/2.56  
% 15.84/2.56  % SZS status Unsatisfiable for theBenchmark.p
% 15.84/2.56  
% 15.84/2.56  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.84/2.57  
% 15.84/2.57  ------                               Statistics
% 15.84/2.57  
% 15.84/2.57  ------ Problem properties
% 15.84/2.57  
% 15.84/2.57  clauses:                                11
% 15.84/2.57  conjectures:                            1
% 15.84/2.57  epr:                                    0
% 15.84/2.57  horn:                                   11
% 15.84/2.57  ground:                                 1
% 15.84/2.57  unary:                                  11
% 15.84/2.57  binary:                                 0
% 15.84/2.57  lits:                                   11
% 15.84/2.57  lits_eq:                                11
% 15.84/2.57  fd_pure:                                0
% 15.84/2.57  fd_pseudo:                              0
% 15.84/2.57  fd_cond:                                0
% 15.84/2.57  fd_pseudo_cond:                         0
% 15.84/2.57  ac_symbols:                             0
% 15.84/2.57  
% 15.84/2.57  ------ General
% 15.84/2.57  
% 15.84/2.57  abstr_ref_over_cycles:                  0
% 15.84/2.57  abstr_ref_under_cycles:                 0
% 15.84/2.57  gc_basic_clause_elim:                   0
% 15.84/2.57  num_of_symbols:                         103
% 15.84/2.57  num_of_terms:                           70948
% 15.84/2.57  
% 15.84/2.57  parsing_time:                           0.
% 15.84/2.57  unif_index_cands_time:                  0.049
% 15.84/2.57  unif_index_add_time:                    0.012
% 15.84/2.57  orderings_time:                         0.011
% 15.84/2.57  out_proof_time:                         0.007
% 15.84/2.57  total_time:                             1.734
% 15.84/2.57  
% 15.84/2.57  ------ Preprocessing
% 15.84/2.57  
% 15.84/2.57  num_of_splits:                          0
% 15.84/2.57  num_of_split_atoms:                     0
% 15.84/2.57  num_of_reused_defs:                     0
% 15.84/2.57  num_eq_ax_congr_red:                    2
% 15.84/2.57  num_of_sem_filtered_clauses:            0
% 15.84/2.57  num_of_subtypes:                        0
% 15.84/2.57  monotx_restored_types:                  0
% 15.84/2.57  sat_num_of_epr_types:                   0
% 15.84/2.57  sat_num_of_non_cyclic_types:            0
% 15.84/2.57  sat_guarded_non_collapsed_types:        0
% 15.84/2.57  num_pure_diseq_elim:                    0
% 15.84/2.57  simp_replaced_by:                       0
% 15.84/2.57  res_preprocessed:                       0
% 15.84/2.57  sup_preprocessed:                       6
% 15.84/2.57  prep_upred:                             0
% 15.84/2.57  prep_unflattend:                        0
% 15.84/2.57  prep_well_definedness:                  0
% 15.84/2.57  smt_new_axioms:                         0
% 15.84/2.57  pred_elim_cands:                        0
% 15.84/2.57  pred_elim:                              0
% 15.84/2.57  pred_elim_cl:                           0
% 15.84/2.57  pred_elim_cycles:                       0
% 15.84/2.57  merged_defs:                            0
% 15.84/2.57  merged_defs_ncl:                        0
% 15.84/2.57  bin_hyper_res:                          0
% 15.84/2.57  prep_cycles:                            2
% 15.84/2.57  
% 15.84/2.57  splitting_time:                         0.
% 15.84/2.57  sem_filter_time:                        0.
% 15.84/2.57  monotx_time:                            0.
% 15.84/2.57  subtype_inf_time:                       0.
% 15.84/2.57  res_prep_time:                          0.005
% 15.84/2.57  sup_prep_time:                          0.
% 15.84/2.57  pred_elim_time:                         0.
% 15.84/2.57  bin_hyper_res_time:                     0.
% 15.84/2.57  prep_time_total:                        0.008
% 15.84/2.57  
% 15.84/2.57  ------ Propositional Solver
% 15.84/2.57  
% 15.84/2.57  prop_solver_calls:                      28
% 15.84/2.57  prop_fast_solver_calls:                 731
% 15.84/2.57  smt_solver_calls:                       0
% 15.84/2.57  smt_fast_solver_calls:                  0
% 15.84/2.57  prop_num_of_clauses:                    13639
% 15.84/2.57  prop_preprocess_simplified:             12056
% 15.84/2.57  prop_fo_subsumed:                       1
% 15.84/2.57  
% 15.84/2.57  prop_solver_time:                       0.005
% 15.84/2.57  prop_fast_solver_time:                  0.001
% 15.84/2.57  prop_unsat_core_time:                   0.
% 15.84/2.57  smt_solver_time:                        0.
% 15.84/2.57  smt_fast_solver_time:                   0.
% 15.84/2.57  
% 15.84/2.57  ------ QBF
% 15.84/2.57  
% 15.84/2.57  qbf_q_res:                              0
% 15.84/2.57  qbf_num_tautologies:                    0
% 15.84/2.57  qbf_prep_cycles:                        0
% 15.84/2.57  
% 15.84/2.57  ------ BMC1
% 15.84/2.57  
% 15.84/2.57  bmc1_current_bound:                     -1
% 15.84/2.57  bmc1_last_solved_bound:                 -1
% 15.84/2.57  bmc1_unsat_core_size:                   -1
% 15.84/2.57  bmc1_unsat_core_parents_size:           -1
% 15.84/2.57  bmc1_merge_next_fun:                    0
% 15.84/2.57  
% 15.84/2.57  bmc1_unsat_core_clauses_time:           0.
% 15.84/2.57  
% 15.84/2.57  ------ Instantiation
% 15.84/2.57  
% 15.84/2.57  inst_num_of_clauses:                    2739
% 15.84/2.57  inst_num_in_passive:                    1922
% 15.84/2.57  inst_num_in_active:                     649
% 15.84/2.57  inst_num_of_loops:                      674
% 15.84/2.57  inst_num_in_unprocessed:                168
% 15.84/2.57  inst_num_of_learning_restarts:          0
% 15.84/2.57  inst_num_moves_active_passive:          18
% 15.84/2.57  inst_lit_activity:                      0
% 15.84/2.57  inst_lit_activity_moves:                0
% 15.84/2.57  inst_num_tautologies:                   0
% 15.84/2.57  inst_num_prop_implied:                  0
% 15.84/2.57  inst_num_existing_simplified:           0
% 15.84/2.57  inst_num_eq_res_simplified:             0
% 15.84/2.57  inst_num_child_elim:                    0
% 15.84/2.57  inst_num_of_dismatching_blockings:      2918
% 15.84/2.57  inst_num_of_non_proper_insts:           2342
% 15.84/2.57  inst_num_of_duplicates:                 0
% 15.84/2.57  inst_inst_num_from_inst_to_res:         0
% 15.84/2.57  
% 15.84/2.57  inst_time_sim_new:                      0.151
% 15.84/2.57  inst_time_sim_given:                    0.
% 15.84/2.57  inst_time_dismatching_checking:         0.068
% 15.84/2.57  inst_time_total:                        0.565
% 15.84/2.57  
% 15.84/2.57  ------ Resolution
% 15.84/2.57  
% 15.84/2.57  res_num_of_clauses:                     557
% 15.84/2.57  res_num_in_passive:                     464
% 15.84/2.57  res_num_in_active:                      93
% 15.84/2.57  res_num_of_loops:                       128
% 15.84/2.57  res_forward_subset_subsumed:            482
% 15.84/2.57  res_backward_subset_subsumed:           0
% 15.84/2.57  res_forward_subsumed:                   6
% 15.84/2.57  res_backward_subsumed:                  0
% 15.84/2.57  res_forward_subsumption_resolution:     0
% 15.84/2.57  res_backward_subsumption_resolution:    0
% 15.84/2.57  res_clause_to_clause_subsumption:       921
% 15.84/2.57  res_subs_bck_cnt:                       3
% 15.84/2.57  res_orphan_elimination:                 0
% 15.84/2.57  res_tautology_del:                      260
% 15.84/2.57  res_num_eq_res_simplified:              2
% 15.84/2.57  res_num_sel_changes:                    49
% 15.84/2.57  res_moves_from_active_to_pass:          1
% 15.84/2.57  
% 15.84/2.57  res_time_sim_new:                       0.031
% 15.84/2.57  res_time_sim_fw_given:                  0.006
% 15.84/2.57  res_time_sim_bw_given:                  0.005
% 15.84/2.57  res_time_total:                         0.07
% 15.84/2.57  
% 15.84/2.57  ------ Superposition
% 15.84/2.57  
% 15.84/2.57  sup_num_of_clauses:                     1111
% 15.84/2.57  sup_num_in_active:                      67
% 15.84/2.57  sup_num_in_passive:                     1044
% 15.84/2.57  sup_num_of_loops:                       305
% 15.84/2.57  sup_fw_superposition:                   2934
% 15.84/2.57  sup_bw_superposition:                   4153
% 15.84/2.57  sup_eq_factoring:                       0
% 15.84/2.57  sup_eq_resolution:                      0
% 15.84/2.57  sup_immediate_simplified:               0
% 15.84/2.57  sup_given_eliminated:                   0
% 15.84/2.57  comparisons_done:                       13958
% 15.84/2.57  comparisons_avoided:                    0
% 15.84/2.57  comparisons_inc_criteria:               0
% 15.84/2.57  sup_deep_cl_discarded:                  0
% 15.84/2.57  sup_num_of_deepenings:                  0
% 15.84/2.57  sup_num_of_restarts:                    1
% 15.84/2.57  
% 15.84/2.57  sup_time_generating:                    0.204
% 15.84/2.57  sup_time_sim_fw_full:                   0.031
% 15.84/2.57  sup_time_sim_bw_full:                   0.078
% 15.84/2.57  sup_time_sim_fw_immed:                  0.106
% 15.84/2.57  sup_time_sim_bw_immed:                  0.129
% 15.84/2.57  sup_time_prep_sim_fw_input:             0.
% 15.84/2.57  sup_time_prep_sim_bw_input:             0.
% 15.84/2.57  sup_time_total:                         1.054
% 15.84/2.57  
% 15.84/2.57  ------ Simplifications
% 15.84/2.57  
% 15.84/2.57  sim_repeated:                           856
% 15.84/2.57  sim_fw_subset_subsumed:                 0
% 15.84/2.57  sim_bw_subset_subsumed:                 0
% 15.84/2.57  sim_fw_subsumed:                        0
% 15.84/2.57  sim_bw_subsumed:                        0
% 15.84/2.57  sim_fw_subsumption_res:                 0
% 15.84/2.57  sim_bw_subsumption_res:                 0
% 15.84/2.57  sim_fw_unit_subs:                       0
% 15.84/2.57  sim_bw_unit_subs:                       11
% 15.84/2.57  sim_tautology_del:                      0
% 15.84/2.57  sim_eq_tautology_del:                   300
% 15.84/2.57  sim_eq_res_simp:                        0
% 15.84/2.57  sim_fw_demodulated:                     44
% 15.84/2.57  sim_bw_demodulated:                     172
% 15.84/2.57  sim_encompassment_demod:                0
% 15.84/2.57  sim_light_normalised:                   1082
% 15.84/2.57  sim_ac_normalised:                      0
% 15.84/2.57  sim_joinable_taut:                      0
% 15.84/2.57  sim_joinable_simp:                      0
% 15.84/2.57  sim_fw_ac_demod:                        0
% 15.84/2.57  sim_bw_ac_demod:                        0
% 15.84/2.57  sim_smt_subsumption:                    0
% 15.84/2.57  sim_smt_simplified:                     0
% 15.84/2.57  sim_ground_joinable:                    1
% 15.84/2.57  sim_bw_ground_joinable:                 0
% 15.84/2.57  sim_connectedness:                      0
% 15.84/2.57  
% 15.84/2.57  sim_time_fw_subset_subs:                0.005
% 15.84/2.57  sim_time_bw_subset_subs:                0.004
% 15.84/2.57  sim_time_fw_subs:                       0.
% 15.84/2.57  sim_time_bw_subs:                       0.
% 15.84/2.57  sim_time_fw_subs_res:                   0.
% 15.84/2.57  sim_time_bw_subs_res:                   0.
% 15.84/2.57  sim_time_fw_unit_subs:                  0.04
% 15.84/2.57  sim_time_bw_unit_subs:                  0.037
% 15.84/2.57  sim_time_tautology_del:                 0.001
% 15.84/2.57  sim_time_eq_tautology_del:              0.001
% 15.84/2.57  sim_time_eq_res_simp:                   0.001
% 15.84/2.57  sim_time_fw_demod:                      0.012
% 15.84/2.57  sim_time_bw_demod:                      0.042
% 15.84/2.57  sim_time_light_norm:                    0.054
% 15.84/2.57  sim_time_joinable:                      0.
% 15.84/2.57  sim_time_ac_norm:                       0.
% 15.84/2.57  sim_time_fw_ac_demod:                   0.
% 15.84/2.57  sim_time_bw_ac_demod:                   0.
% 15.84/2.57  sim_time_smt_subs:                      0.
% 15.84/2.57  sim_time_fw_gjoin:                      0.01
% 15.84/2.57  sim_time_fw_connected:                  0.
% 15.84/2.57  
% 15.84/2.57  
%------------------------------------------------------------------------------