TSTP Solution File: BOO014-3 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : BOO014-3 : TPTP v8.1.2. Bugfixed v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 18:09:08 EDT 2023
% Result : Unsatisfiable 54.75s 8.27s
% Output : CNFRefutation 54.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 16
% Syntax : Number of clauses : 195 ( 183 unt; 0 nHn; 20 RR)
% Number of literals : 231 ( 198 equ; 38 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 454 ( 77 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(inverse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_is_self_cancelling) ).
cnf(c_51,plain,
sum(x,y,x_plus_y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_plus_y) ).
cnf(c_52,plain,
product(inverse(x),inverse(y),x_inverse_times_y_inverse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_inverse_times_y_inverse) ).
cnf(c_53,negated_conjecture,
inverse(x_plus_y) != x_inverse_times_y_inverse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
cnf(c_56,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',commutativity_of_addition) ).
cnf(c_57,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',commutativity_of_multiplication) ).
cnf(c_58,plain,
sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).
cnf(c_59,plain,
sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_identity2) ).
cnf(c_60,plain,
product(multiplicative_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_identity1) ).
cnf(c_61,plain,
product(X0,multiplicative_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_identity2) ).
cnf(c_63,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X5)
| ~ product(X6,X0,X3)
| ~ product(X6,X1,X4)
| product(X6,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity2) ).
cnf(c_65,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X5)
| ~ product(X0,X6,X3)
| ~ product(X1,X6,X4)
| product(X2,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity4) ).
cnf(c_67,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ product(X1,X3,X5)
| ~ product(X2,X4,X6)
| sum(X0,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity6) ).
cnf(c_69,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X1,X4)
| ~ product(X0,X3,X5)
| ~ product(X2,X4,X6)
| sum(X5,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity8) ).
cnf(c_71,plain,
sum(X0,inverse(X0),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_inverse2) ).
cnf(c_73,plain,
product(X0,inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_inverse2) ).
cnf(c_89,plain,
add(x,y) = x_plus_y,
inference(well_definedness,[status(thm)],[c_51]) ).
cnf(c_90,plain,
multiply(inverse(x),inverse(y)) = x_inverse_times_y_inverse,
inference(well_definedness,[status(thm)],[c_52]) ).
cnf(c_93,plain,
( add(X0,X1) != X2
| add(X1,X0) = X2 ),
inference(well_definedness,[status(thm)],[c_56]) ).
cnf(c_95,plain,
( multiply(X0,X1) != X2
| multiply(X1,X0) = X2 ),
inference(well_definedness,[status(thm)],[c_57]) ).
cnf(c_97,plain,
add(additive_identity,X0) = X0,
inference(well_definedness,[status(thm)],[c_58]) ).
cnf(c_98,plain,
add(X0,additive_identity) = X0,
inference(well_definedness,[status(thm)],[c_59]) ).
cnf(c_99,plain,
multiply(multiplicative_identity,X0) = X0,
inference(well_definedness,[status(thm)],[c_60]) ).
cnf(c_100,plain,
multiply(X0,multiplicative_identity) = X0,
inference(well_definedness,[status(thm)],[c_61]) ).
cnf(c_103,plain,
( add(X0,X1) != X2
| add(X3,X4) != X5
| multiply(X6,X0) != X3
| multiply(X6,X1) != X4
| multiply(X6,X2) = X5 ),
inference(well_definedness,[status(thm)],[c_63]) ).
cnf(c_107,plain,
( add(X0,X1) != X2
| add(X3,X4) != X5
| multiply(X0,X6) != X3
| multiply(X1,X6) != X4
| multiply(X2,X6) = X5 ),
inference(well_definedness,[status(thm)],[c_65]) ).
cnf(c_111,plain,
( add(X0,X1) != X2
| add(X0,X3) != X4
| multiply(X1,X3) != X5
| multiply(X2,X4) != X6
| add(X0,X5) = X6 ),
inference(well_definedness,[status(thm)],[c_67]) ).
cnf(c_115,plain,
( add(X0,X1) != X2
| add(X3,X1) != X4
| multiply(X0,X3) != X5
| multiply(X2,X4) != X6
| add(X5,X1) = X6 ),
inference(well_definedness,[status(thm)],[c_69]) ).
cnf(c_118,plain,
add(X0,inverse(X0)) = multiplicative_identity,
inference(well_definedness,[status(thm)],[c_71]) ).
cnf(c_120,plain,
multiply(X0,inverse(X0)) = additive_identity,
inference(well_definedness,[status(thm)],[c_73]) ).
cnf(c_274,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(unflattening,[status(thm)],[c_95]) ).
cnf(c_276,plain,
add(X0,X1) = add(X1,X0),
inference(unflattening,[status(thm)],[c_93]) ).
cnf(c_285,plain,
multiply(add(X0,X1),add(X2,X1)) = add(multiply(X0,X2),X1),
inference(unflattening,[status(thm)],[c_115]) ).
cnf(c_287,plain,
multiply(add(X0,X1),add(X0,X2)) = add(X0,multiply(X1,X2)),
inference(unflattening,[status(thm)],[c_111]) ).
cnf(c_289,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
inference(unflattening,[status(thm)],[c_107]) ).
cnf(c_291,plain,
add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(unflattening,[status(thm)],[c_103]) ).
cnf(c_427,plain,
multiply(inverse(x),inverse(y)) != inverse(add(x,y)),
inference(light_normalisation,[status(thm)],[c_53,c_89,c_90]) ).
cnf(c_432,plain,
multiply(inverse(X0),X0) = additive_identity,
inference(superposition,[status(thm)],[c_49,c_120]) ).
cnf(c_456,plain,
add(add(multiply(X0,X1),multiply(X0,X2)),add(multiply(X2,X1),multiply(X2,X2))) = add(multiply(X0,X1),X2),
inference(demodulation,[status(thm)],[c_285,c_289,c_291]) ).
cnf(c_465,plain,
add(add(additive_identity,multiply(X0,X1)),add(multiply(X1,inverse(X0)),multiply(X1,X1))) = add(additive_identity,X1),
inference(superposition,[status(thm)],[c_120,c_456]) ).
cnf(c_470,plain,
add(add(multiply(X0,X1),additive_identity),add(multiply(inverse(X0),X1),multiply(inverse(X0),inverse(X0)))) = add(multiply(X0,X1),inverse(X0)),
inference(superposition,[status(thm)],[c_120,c_456]) ).
cnf(c_477,plain,
add(add(multiply(X0,inverse(X1)),multiply(X0,X1)),add(additive_identity,multiply(X1,X1))) = add(multiply(X0,inverse(X1)),X1),
inference(superposition,[status(thm)],[c_120,c_456]) ).
cnf(c_497,plain,
add(add(multiply(X0,X0),multiply(X0,X1)),add(multiply(X2,X0),multiply(X2,X1))) = add(X0,multiply(X2,X1)),
inference(demodulation,[status(thm)],[c_287,c_289,c_291]) ).
cnf(c_516,plain,
add(add(multiply(inverse(X0),inverse(X0)),multiply(inverse(X0),X1)),add(additive_identity,multiply(X0,X1))) = add(inverse(X0),multiply(X0,X1)),
inference(superposition,[status(thm)],[c_120,c_497]) ).
cnf(c_698,plain,
add(multiply(X0,X1),add(multiply(X1,inverse(X0)),multiply(X1,X1))) = X1,
inference(demodulation,[status(thm)],[c_465,c_97]) ).
cnf(c_716,plain,
add(multiply(inverse(X0),X1),add(multiply(X1,X0),multiply(X1,X1))) = X1,
inference(superposition,[status(thm)],[c_49,c_698]) ).
cnf(c_719,plain,
add(multiply(X0,multiplicative_identity),add(multiply(multiplicative_identity,inverse(X0)),multiplicative_identity)) = multiplicative_identity,
inference(superposition,[status(thm)],[c_99,c_698]) ).
cnf(c_725,plain,
add(X0,add(multiply(multiplicative_identity,inverse(X0)),multiplicative_identity)) = multiplicative_identity,
inference(light_normalisation,[status(thm)],[c_719,c_100]) ).
cnf(c_836,plain,
add(multiply(additive_identity,X0),multiply(X1,X0)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_97,c_289]) ).
cnf(c_852,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(X1,add(X0,X2)),
inference(superposition,[status(thm)],[c_289,c_274]) ).
cnf(c_975,plain,
add(multiply(X0,X1),multiply(X0,inverse(X1))) = multiply(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_118,c_291]) ).
cnf(c_990,plain,
add(multiply(multiplicative_identity,X0),multiply(multiplicative_identity,X1)) = add(X0,X1),
inference(superposition,[status(thm)],[c_291,c_99]) ).
cnf(c_1003,plain,
add(X0,multiply(multiplicative_identity,X1)) = add(X0,X1),
inference(light_normalisation,[status(thm)],[c_990,c_99]) ).
cnf(c_1005,plain,
add(multiply(X0,X1),multiply(X0,inverse(X1))) = X0,
inference(light_normalisation,[status(thm)],[c_975,c_100]) ).
cnf(c_1305,plain,
add(X0,add(multiplicative_identity,inverse(X0))) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_725,c_276,c_1003]) ).
cnf(c_1307,plain,
add(multiplicative_identity,multiplicative_identity) = multiplicative_identity,
inference(superposition,[status(thm)],[c_118,c_1305]) ).
cnf(c_1328,plain,
add(multiply(X0,multiplicative_identity),multiply(X0,multiplicative_identity)) = multiply(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_1307,c_291]) ).
cnf(c_1329,plain,
add(X0,X0) = X0,
inference(light_normalisation,[status(thm)],[c_1328,c_100]) ).
cnf(c_1337,plain,
add(multiply(X0,X1),multiply(X0,X0)) = add(multiply(X0,X1),X0),
inference(superposition,[status(thm)],[c_1329,c_456]) ).
cnf(c_1338,plain,
add(multiply(inverse(X0),X0),multiply(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_1329,c_716]) ).
cnf(c_1342,plain,
add(multiply(X0,X0),multiply(X0,X1)) = add(X0,multiply(X0,X1)),
inference(superposition,[status(thm)],[c_1329,c_497]) ).
cnf(c_1343,plain,
add(additive_identity,multiply(X0,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1338,c_432]) ).
cnf(c_1366,plain,
multiply(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_1343,c_97]) ).
cnf(c_1406,plain,
add(multiply(X0,X1),add(inverse(X0),multiply(inverse(X0),X1))) = add(multiply(X0,X1),inverse(X0)),
inference(demodulation,[status(thm)],[c_470,c_98,c_276,c_1337]) ).
cnf(c_1428,plain,
add(multiply(multiply(X0,X1),X2),multiply(add(inverse(X0),multiply(inverse(X0),X1)),X2)) = multiply(add(multiply(X0,X1),inverse(X0)),X2),
inference(superposition,[status(thm)],[c_1406,c_289]) ).
cnf(c_1429,plain,
add(multiply(X0,multiply(X1,X2)),multiply(X0,add(inverse(X1),multiply(inverse(X1),X2)))) = multiply(X0,add(multiply(X1,X2),inverse(X1))),
inference(superposition,[status(thm)],[c_1406,c_291]) ).
cnf(c_1655,plain,
add(X0,multiply(X1,inverse(X0))) = add(X0,X1),
inference(demodulation,[status(thm)],[c_477,c_276,c_1005,c_1343]) ).
cnf(c_1657,plain,
add(X0,multiply(inverse(X0),X1)) = add(X0,X1),
inference(superposition,[status(thm)],[c_274,c_1655]) ).
cnf(c_1659,plain,
add(X0,inverse(X0)) = add(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_99,c_1655]) ).
cnf(c_1662,plain,
add(inverse(X0),multiply(X1,X0)) = add(inverse(X0),X1),
inference(superposition,[status(thm)],[c_49,c_1655]) ).
cnf(c_1666,plain,
add(multiply(X0,X1),multiply(multiply(X2,inverse(X0)),X1)) = multiply(add(X0,X2),X1),
inference(superposition,[status(thm)],[c_1655,c_289]) ).
cnf(c_1674,plain,
add(X0,multiplicative_identity) = multiplicative_identity,
inference(light_normalisation,[status(thm)],[c_1659,c_118]) ).
cnf(c_1679,plain,
add(multiply(X0,X1),multiply(multiply(X2,inverse(X0)),X1)) = add(multiply(X0,X1),multiply(X2,X1)),
inference(light_normalisation,[status(thm)],[c_1666,c_289]) ).
cnf(c_1704,plain,
add(inverse(X0),multiply(X0,X1)) = add(inverse(X0),X1),
inference(superposition,[status(thm)],[c_274,c_1662]) ).
cnf(c_1713,plain,
add(multiply(X0,X1),inverse(X1)) = add(inverse(X1),X0),
inference(superposition,[status(thm)],[c_1662,c_276]) ).
cnf(c_1740,plain,
add(multiplicative_identity,X0) = multiplicative_identity,
inference(superposition,[status(thm)],[c_1674,c_276]) ).
cnf(c_1779,plain,
add(multiply(multiplicative_identity,X0),multiply(X1,X0)) = multiply(multiplicative_identity,X0),
inference(superposition,[status(thm)],[c_1740,c_289]) ).
cnf(c_1781,plain,
add(multiply(X0,multiplicative_identity),multiply(X0,X1)) = multiply(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_1740,c_291]) ).
cnf(c_1783,plain,
add(X0,multiply(X0,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_1781,c_100]) ).
cnf(c_1784,plain,
add(X0,multiply(X1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1779,c_99]) ).
cnf(c_1804,plain,
add(multiply(X0,X1),multiply(multiply(X0,X2),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1783,c_289]) ).
cnf(c_1805,plain,
multiply(additive_identity,X0) = additive_identity,
inference(superposition,[status(thm)],[c_1783,c_97]) ).
cnf(c_1806,plain,
add(multiply(X0,X1),multiply(X0,multiply(X1,X2))) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1783,c_291]) ).
cnf(c_1819,plain,
multiply(X0,additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_1805,c_274]) ).
cnf(c_1861,plain,
add(multiply(X0,X1),multiply(X1,inverse(X0))) = X1,
inference(superposition,[status(thm)],[c_274,c_1005]) ).
cnf(c_1959,plain,
add(multiply(X0,X1),multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_274,c_1861]) ).
cnf(c_1962,plain,
add(multiply(X0,add(X1,X2)),add(multiply(X1,inverse(X0)),multiply(X2,inverse(X0)))) = add(X1,X2),
inference(superposition,[status(thm)],[c_289,c_1861]) ).
cnf(c_1973,plain,
add(multiply(X0,multiply(X1,X2)),multiply(X0,multiply(X2,inverse(X1)))) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_1861,c_291]) ).
cnf(c_1983,plain,
add(add(multiply(X0,X1),multiply(X0,X2)),add(multiply(X1,inverse(X0)),multiply(X2,inverse(X0)))) = add(X1,X2),
inference(light_normalisation,[status(thm)],[c_1962,c_291]) ).
cnf(c_2082,plain,
add(add(multiply(inverse(X0),inverse(X0)),multiply(inverse(X0),X1)),add(additive_identity,multiply(X0,X1))) = add(inverse(X0),X1),
inference(light_normalisation,[status(thm)],[c_516,c_1704]) ).
cnf(c_2083,plain,
add(multiply(X0,X1),inverse(X0)) = add(inverse(X0),X1),
inference(demodulation,[status(thm)],[c_2082,c_97,c_276,c_1342,c_1783]) ).
cnf(c_2089,plain,
add(add(multiply(X0,X1),multiply(X0,X2)),inverse(X0)) = add(inverse(X0),add(X1,X2)),
inference(superposition,[status(thm)],[c_291,c_2083]) ).
cnf(c_2106,plain,
add(multiply(multiply(X0,X1),X2),multiply(inverse(X0),X2)) = multiply(add(inverse(X0),X1),X2),
inference(superposition,[status(thm)],[c_2083,c_289]) ).
cnf(c_2112,plain,
add(multiply(X0,X1),inverse(X0)) = add(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_2083,c_276]) ).
cnf(c_2114,plain,
add(multiply(X0,inverse(X1)),multiply(X0,X2)) = multiply(X0,add(multiply(X1,X2),inverse(X1))),
inference(superposition,[status(thm)],[c_2083,c_291]) ).
cnf(c_2166,plain,
add(inverse(X0),add(multiply(X0,X1),multiply(X0,X2))) = add(inverse(X0),add(X1,X2)),
inference(superposition,[status(thm)],[c_291,c_1704]) ).
cnf(c_2219,plain,
add(multiply(X0,X1),inverse(X1)) = add(X0,inverse(X1)),
inference(superposition,[status(thm)],[c_1713,c_276]) ).
cnf(c_2468,plain,
add(inverse(X0),multiply(X1,X0)) = add(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_2219,c_276]) ).
cnf(c_2686,plain,
add(X0,multiply(X1,inverse(X0))) = add(X1,X0),
inference(superposition,[status(thm)],[c_49,c_2468]) ).
cnf(c_2874,plain,
add(X0,multiply(X1,X0)) = multiply(X0,add(X0,X1)),
inference(superposition,[status(thm)],[c_1366,c_852]) ).
cnf(c_2897,plain,
add(multiply(additive_identity,X0),multiply(X1,X0)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_97,c_852]) ).
cnf(c_2978,plain,
add(additive_identity,multiply(X0,X1)) = multiply(X1,X0),
inference(light_normalisation,[status(thm)],[c_2897,c_836,c_1805]) ).
cnf(c_2985,plain,
multiply(X0,add(X0,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_2874,c_1784]) ).
cnf(c_3231,plain,
add(additive_identity,multiply(multiply(X0,X1),inverse(X0))) = additive_identity,
inference(superposition,[status(thm)],[c_120,c_1804]) ).
cnf(c_3285,plain,
multiply(multiply(X0,X1),inverse(X0)) = additive_identity,
inference(demodulation,[status(thm)],[c_3231,c_97]) ).
cnf(c_3288,plain,
multiply(multiply(X0,X1),inverse(X1)) = additive_identity,
inference(superposition,[status(thm)],[c_274,c_3285]) ).
cnf(c_3293,plain,
multiply(add(multiply(X0,X1),multiply(X2,X1)),inverse(add(X0,X2))) = additive_identity,
inference(superposition,[status(thm)],[c_289,c_3285]) ).
cnf(c_3300,plain,
multiply(multiply(inverse(X0),X1),X0) = additive_identity,
inference(superposition,[status(thm)],[c_49,c_3285]) ).
cnf(c_3325,plain,
multiply(inverse(X0),multiply(X0,X1)) = additive_identity,
inference(superposition,[status(thm)],[c_3285,c_274]) ).
cnf(c_3329,plain,
add(multiply(X0,multiply(X0,X1)),additive_identity) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_3285,c_1861]) ).
cnf(c_3513,plain,
multiply(X0,multiply(inverse(X0),X1)) = additive_identity,
inference(demodulation,[status(thm)],[c_3300,c_274]) ).
cnf(c_3530,plain,
add(additive_identity,multiply(multiply(X0,X1),multiply(inverse(X0),X2))) = additive_identity,
inference(superposition,[status(thm)],[c_3513,c_1804]) ).
cnf(c_3536,plain,
add(inverse(X0),multiply(inverse(X0),X1)) = add(inverse(X0),additive_identity),
inference(superposition,[status(thm)],[c_3513,c_1704]) ).
cnf(c_3540,plain,
add(additive_identity,multiply(X0,inverse(multiply(inverse(X0),X1)))) = X0,
inference(superposition,[status(thm)],[c_3513,c_1005]) ).
cnf(c_3784,plain,
multiply(X0,multiply(X0,X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_3329,c_98]) ).
cnf(c_3788,plain,
multiply(X0,multiply(X1,X0)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_274,c_3784]) ).
cnf(c_3938,plain,
multiply(X0,inverse(multiply(inverse(X0),X1))) = X0,
inference(demodulation,[status(thm)],[c_3540,c_97]) ).
cnf(c_3951,plain,
multiply(X0,inverse(multiply(X1,inverse(X0)))) = X0,
inference(superposition,[status(thm)],[c_3788,c_3938]) ).
cnf(c_3955,plain,
multiply(inverse(X0),inverse(multiply(X0,X1))) = inverse(X0),
inference(superposition,[status(thm)],[c_49,c_3938]) ).
cnf(c_4216,plain,
multiply(inverse(X0),inverse(multiply(X1,X0))) = inverse(X0),
inference(superposition,[status(thm)],[c_3788,c_3955]) ).
cnf(c_4236,plain,
add(inverse(X0),multiply(inverse(inverse(X0)),inverse(multiply(X0,X1)))) = inverse(multiply(X0,X1)),
inference(superposition,[status(thm)],[c_3955,c_1959]) ).
cnf(c_4286,plain,
add(inverse(X0),multiply(X0,inverse(multiply(X0,X1)))) = inverse(multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_4236,c_49]) ).
cnf(c_4365,plain,
multiply(inverse(multiply(X0,X1)),inverse(X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_4216,c_3788]) ).
cnf(c_4558,plain,
multiply(multiply(X0,X1),multiply(inverse(X0),X2)) = additive_identity,
inference(demodulation,[status(thm)],[c_3530,c_97]) ).
cnf(c_4637,plain,
multiply(multiply(inverse(X0),X1),multiply(X0,X2)) = additive_identity,
inference(superposition,[status(thm)],[c_4558,c_274]) ).
cnf(c_4705,plain,
multiply(multiply(X0,inverse(X1)),multiply(X1,X2)) = additive_identity,
inference(superposition,[status(thm)],[c_3788,c_4637]) ).
cnf(c_5137,plain,
multiply(inverse(X0),multiply(multiply(X0,X1),X2)) = additive_identity,
inference(superposition,[status(thm)],[c_3955,c_4705]) ).
cnf(c_5138,plain,
multiply(inverse(X0),multiply(multiply(X1,X0),X2)) = additive_identity,
inference(superposition,[status(thm)],[c_4216,c_4705]) ).
cnf(c_5139,plain,
multiply(X0,multiply(multiply(inverse(X0),X1),X2)) = additive_identity,
inference(superposition,[status(thm)],[c_3938,c_4705]) ).
cnf(c_5793,plain,
add(additive_identity,multiply(inverse(inverse(X0)),multiply(multiply(X0,X1),X2))) = multiply(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[c_5137,c_1959]) ).
cnf(c_5845,plain,
add(additive_identity,multiply(X0,multiply(multiply(X0,X1),X2))) = multiply(multiply(X0,X1),X2),
inference(light_normalisation,[status(thm)],[c_5793,c_49]) ).
cnf(c_6990,plain,
add(additive_identity,multiply(X0,inverse(multiply(multiply(inverse(X0),X1),X2)))) = X0,
inference(superposition,[status(thm)],[c_5139,c_1005]) ).
cnf(c_14627,plain,
multiply(X0,inverse(multiply(multiply(inverse(X0),X1),X2))) = X0,
inference(demodulation,[status(thm)],[c_6990,c_97]) ).
cnf(c_14671,plain,
multiply(X0,inverse(multiply(multiply(X1,inverse(X0)),X2))) = X0,
inference(superposition,[status(thm)],[c_3788,c_14627]) ).
cnf(c_16421,plain,
multiply(multiply(X0,X1),inverse(multiply(inverse(X0),X2))) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_3955,c_14671]) ).
cnf(c_65092,plain,
multiply(inverse(multiply(inverse(X0),X1)),multiply(X0,X2)) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_16421,c_274]) ).
cnf(c_66594,plain,
multiply(inverse(multiply(X0,X1)),multiply(inverse(X0),X2)) = multiply(inverse(X0),X2),
inference(superposition,[status(thm)],[c_49,c_65092]) ).
cnf(c_70256,plain,
add(multiply(multiply(X0,X1),inverse(add(X0,X2))),multiply(multiply(X2,X1),inverse(add(X0,X2)))) = additive_identity,
inference(demodulation,[status(thm)],[c_3293,c_289]) ).
cnf(c_70476,plain,
add(multiply(multiply(X0,add(X0,X1)),inverse(add(X0,X1))),additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_3288,c_70256]) ).
cnf(c_70712,plain,
add(multiply(X0,inverse(add(X0,X1))),additive_identity) = additive_identity,
inference(light_normalisation,[status(thm)],[c_70476,c_2985]) ).
cnf(c_73424,plain,
multiply(X0,inverse(add(X0,X1))) = additive_identity,
inference(demodulation,[status(thm)],[c_70712,c_98]) ).
cnf(c_73439,plain,
multiply(X0,inverse(add(X1,X0))) = additive_identity,
inference(superposition,[status(thm)],[c_2686,c_73424]) ).
cnf(c_73725,plain,
add(X0,inverse(add(inverse(X0),X1))) = add(X0,additive_identity),
inference(superposition,[status(thm)],[c_73424,c_1657]) ).
cnf(c_73940,plain,
add(X0,inverse(add(inverse(X0),X1))) = X0,
inference(light_normalisation,[status(thm)],[c_73725,c_98]) ).
cnf(c_74419,plain,
add(X0,inverse(add(X1,inverse(X0)))) = add(X0,additive_identity),
inference(superposition,[status(thm)],[c_73439,c_1657]) ).
cnf(c_74629,plain,
add(X0,inverse(add(X1,inverse(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_74419,c_98]) ).
cnf(c_74848,plain,
add(inverse(X0),inverse(add(X0,X1))) = inverse(X0),
inference(superposition,[status(thm)],[c_49,c_73940]) ).
cnf(c_75174,plain,
add(multiply(multiply(inverse(X0),X1),inverse(inverse(X0))),multiply(multiply(inverse(add(X0,X2)),X1),inverse(inverse(X0)))) = additive_identity,
inference(superposition,[status(thm)],[c_74848,c_70256]) ).
cnf(c_75182,plain,
add(add(X0,X1),inverse(inverse(X0))) = add(X0,X1),
inference(superposition,[status(thm)],[c_74848,c_74629]) ).
cnf(c_75198,plain,
add(add(X0,X1),X0) = add(X0,X1),
inference(light_normalisation,[status(thm)],[c_75182,c_49]) ).
cnf(c_75211,plain,
add(additive_identity,multiply(multiply(inverse(add(X0,X1)),X2),X0)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_75174,c_49,c_3300]) ).
cnf(c_75507,plain,
add(X0,add(X0,X1)) = add(X0,X1),
inference(demodulation,[status(thm)],[c_75198,c_276]) ).
cnf(c_75518,plain,
add(X0,add(X1,X0)) = add(X1,X0),
inference(superposition,[status(thm)],[c_2686,c_75507]) ).
cnf(c_80599,plain,
multiply(X0,multiply(inverse(add(X0,X1)),X2)) = additive_identity,
inference(demodulation,[status(thm)],[c_75211,c_2978]) ).
cnf(c_80615,plain,
multiply(X0,multiply(X1,inverse(add(X0,X2)))) = additive_identity,
inference(superposition,[status(thm)],[c_3788,c_80599]) ).
cnf(c_80744,plain,
multiply(X0,multiply(inverse(add(X1,X0)),X2)) = additive_identity,
inference(superposition,[status(thm)],[c_75518,c_80599]) ).
cnf(c_82069,plain,
multiply(inverse(X0),inverse(add(inverse(multiply(X0,X1)),X2))) = additive_identity,
inference(superposition,[status(thm)],[c_80615,c_66594]) ).
cnf(c_82582,plain,
multiply(inverse(add(X0,X1)),multiply(inverse(inverse(X0)),X2)) = additive_identity,
inference(superposition,[status(thm)],[c_74848,c_80744]) ).
cnf(c_83026,plain,
multiply(inverse(add(X0,X1)),multiply(X0,X2)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_82582,c_49]) ).
cnf(c_84921,plain,
multiply(inverse(add(X0,X1)),multiply(X1,X2)) = additive_identity,
inference(superposition,[status(thm)],[c_75518,c_83026]) ).
cnf(c_87613,plain,
add(multiply(multiply(X0,X1),X2),multiply(add(inverse(X0),additive_identity),X2)) = multiply(add(X1,inverse(X0)),X2),
inference(light_normalisation,[status(thm)],[c_1428,c_2112,c_3536]) ).
cnf(c_87614,plain,
add(multiply(multiply(X0,X1),X2),multiply(inverse(X0),X2)) = add(multiply(X1,X2),multiply(inverse(X0),X2)),
inference(demodulation,[status(thm)],[c_87613,c_97,c_289,c_1805,c_1819,c_2106]) ).
cnf(c_87845,plain,
add(multiply(multiply(X0,X1),multiply(X0,X2)),additive_identity) = add(multiply(X1,multiply(X0,X2)),additive_identity),
inference(superposition,[status(thm)],[c_3325,c_87614]) ).
cnf(c_89682,plain,
add(multiply(X0,multiply(X1,X2)),multiply(X0,add(inverse(X1),multiply(inverse(X1),X2)))) = add(multiply(X0,inverse(X1)),multiply(X0,X2)),
inference(light_normalisation,[status(thm)],[c_1429,c_2114]) ).
cnf(c_89683,plain,
add(multiply(X0,multiply(X1,X2)),multiply(X0,inverse(X1))) = add(multiply(X0,inverse(X1)),multiply(X0,X2)),
inference(demodulation,[status(thm)],[c_89682,c_291,c_1806]) ).
cnf(c_89933,plain,
add(multiply(multiply(X0,X1),multiply(X0,X2)),additive_identity) = add(additive_identity,multiply(multiply(X0,X1),X2)),
inference(superposition,[status(thm)],[c_3285,c_89683]) ).
cnf(c_90169,plain,
add(multiply(X0,multiply(X1,X2)),additive_identity) = add(additive_identity,multiply(multiply(X1,X0),X2)),
inference(light_normalisation,[status(thm)],[c_89933,c_87845]) ).
cnf(c_141796,plain,
add(multiply(X0,inverse(multiply(X1,inverse(X0)))),multiply(X1,inverse(multiply(X1,inverse(X0))))) = add(multiply(X0,inverse(multiply(X1,inverse(X0)))),additive_identity),
inference(superposition,[status(thm)],[c_120,c_1679]) ).
cnf(c_141914,plain,
add(multiply(inverse(X0),X1),multiply(multiply(X2,X0),X1)) = add(multiply(inverse(X0),X1),multiply(X2,X1)),
inference(superposition,[status(thm)],[c_49,c_1679]) ).
cnf(c_142034,plain,
add(X0,multiply(X1,inverse(multiply(X1,inverse(X0))))) = X0,
inference(light_normalisation,[status(thm)],[c_141796,c_98,c_3951]) ).
cnf(c_143131,plain,
add(multiply(inverse(X0),multiply(multiply(X1,X0),X2)),multiply(X1,multiply(multiply(X1,X0),X2))) = add(multiply(inverse(X0),multiply(multiply(X1,X0),X2)),multiply(multiply(X1,X0),X2)),
inference(superposition,[status(thm)],[c_3784,c_141914]) ).
cnf(c_143510,plain,
add(additive_identity,multiply(X0,multiply(multiply(X0,X1),X2))) = add(multiply(X1,multiply(X0,X2)),additive_identity),
inference(light_normalisation,[status(thm)],[c_143131,c_5138,c_90169]) ).
cnf(c_143511,plain,
add(multiply(X0,multiply(X1,X2)),additive_identity) = multiply(multiply(X1,X0),X2),
inference(light_normalisation,[status(thm)],[c_143510,c_5845]) ).
cnf(c_146858,plain,
add(inverse(X0),multiply(X1,inverse(multiply(X1,X0)))) = inverse(X0),
inference(superposition,[status(thm)],[c_49,c_142034]) ).
cnf(c_147493,plain,
multiply(inverse(inverse(X0)),multiply(multiply(X1,inverse(multiply(X1,X0))),X2)) = additive_identity,
inference(superposition,[status(thm)],[c_146858,c_84921]) ).
cnf(c_147561,plain,
multiply(X0,multiply(multiply(X1,inverse(multiply(X1,X0))),X2)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_147493,c_49]) ).
cnf(c_154552,plain,
multiply(X0,multiply(inverse(multiply(X1,X0)),multiply(X1,X2))) = additive_identity,
inference(demodulation,[status(thm)],[c_147561,c_98,c_143511]) ).
cnf(c_154559,plain,
multiply(X0,multiply(X1,inverse(multiply(X1,X0)))) = additive_identity,
inference(superposition,[status(thm)],[c_3788,c_154552]) ).
cnf(c_155108,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = additive_identity,
inference(superposition,[status(thm)],[c_274,c_154559]) ).
cnf(c_185286,plain,
add(additive_identity,multiply(X0,multiply(inverse(multiply(X0,X1)),inverse(X1)))) = multiply(X0,inverse(multiply(X0,X1))),
inference(superposition,[status(thm)],[c_155108,c_1973]) ).
cnf(c_185495,plain,
multiply(X0,inverse(multiply(X0,X1))) = add(additive_identity,multiply(X0,inverse(X1))),
inference(light_normalisation,[status(thm)],[c_185286,c_4365]) ).
cnf(c_187666,plain,
add(add(multiply(inverse(X0),X1),multiply(inverse(X0),X2)),add(multiply(X1,X0),multiply(X2,X0))) = add(X1,X2),
inference(superposition,[status(thm)],[c_49,c_1983]) ).
cnf(c_188881,plain,
add(add(multiply(inverse(X0),X0),multiply(inverse(X0),X1)),add(X0,multiply(X1,X0))) = add(X0,X1),
inference(superposition,[status(thm)],[c_1366,c_187666]) ).
cnf(c_189059,plain,
add(add(additive_identity,multiply(inverse(X0),X1)),X0) = add(X0,X1),
inference(light_normalisation,[status(thm)],[c_188881,c_432,c_1784]) ).
cnf(c_202963,plain,
add(add(additive_identity,multiply(inverse(X0),X1)),inverse(inverse(X0))) = add(inverse(inverse(X0)),add(multiply(X0,X2),X1)),
inference(superposition,[status(thm)],[c_3325,c_2089]) ).
cnf(c_203538,plain,
add(X0,add(multiply(X0,X1),X2)) = add(X0,X2),
inference(light_normalisation,[status(thm)],[c_202963,c_49,c_189059]) ).
cnf(c_204546,plain,
add(inverse(X0),add(additive_identity,X1)) = add(inverse(X0),X1),
inference(superposition,[status(thm)],[c_82069,c_203538]) ).
cnf(c_217920,plain,
add(inverse(X0),add(additive_identity,multiply(X0,X1))) = add(inverse(X0),add(additive_identity,X1)),
inference(superposition,[status(thm)],[c_1819,c_2166]) ).
cnf(c_218160,plain,
add(inverse(X0),add(additive_identity,multiply(X0,X1))) = add(inverse(X0),X1),
inference(light_normalisation,[status(thm)],[c_217920,c_204546]) ).
cnf(c_239355,plain,
add(inverse(X0),add(additive_identity,multiply(X0,inverse(X1)))) = inverse(multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_4286,c_185495]) ).
cnf(c_239356,plain,
add(inverse(X0),inverse(X1)) = inverse(multiply(X0,X1)),
inference(demodulation,[status(thm)],[c_239355,c_218160]) ).
cnf(c_239608,plain,
inverse(add(inverse(X0),inverse(X1))) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_239356,c_49]) ).
cnf(c_239905,plain,
inverse(add(X0,inverse(X1))) = multiply(inverse(X0),X1),
inference(superposition,[status(thm)],[c_49,c_239608]) ).
cnf(c_240181,plain,
multiply(inverse(X0),inverse(X1)) = inverse(add(X0,X1)),
inference(superposition,[status(thm)],[c_49,c_239905]) ).
cnf(c_240332,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_427,c_240181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO014-3 : TPTP v8.1.2. Bugfixed v2.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n010.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 08:24:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 54.75/8.27 % SZS status Started for theBenchmark.p
% 54.75/8.27 % SZS status Unsatisfiable for theBenchmark.p
% 54.75/8.27
% 54.75/8.27 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 54.75/8.27
% 54.75/8.27 ------ iProver source info
% 54.75/8.27
% 54.75/8.27 git: date: 2023-05-31 18:12:56 +0000
% 54.75/8.27 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 54.75/8.27 git: non_committed_changes: false
% 54.75/8.27 git: last_make_outside_of_git: false
% 54.75/8.27
% 54.75/8.27 ------ Parsing...successful
% 54.75/8.27
% 54.75/8.27
% 54.75/8.27
% 54.75/8.27 ------ Preprocessing... sup_sim: 18 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
% 54.75/8.27
% 54.75/8.27 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 54.75/8.27
% 54.75/8.27 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 54.75/8.27 ------ Proving...
% 54.75/8.27 ------ Problem Properties
% 54.75/8.27
% 54.75/8.27
% 54.75/8.27 clauses 17
% 54.75/8.27 conjectures 1
% 54.75/8.27 EPR 0
% 54.75/8.27 Horn 17
% 54.75/8.27 unary 16
% 54.75/8.27 binary 0
% 54.75/8.27 lits 21
% 54.75/8.27 lits eq 21
% 54.75/8.27 fd_pure 0
% 54.75/8.27 fd_pseudo 0
% 54.75/8.27 fd_cond 0
% 54.75/8.27 fd_pseudo_cond 1
% 54.75/8.27 AC symbols 0
% 54.75/8.27
% 54.75/8.27 ------ Schedule dynamic 5 is on
% 54.75/8.27
% 54.75/8.27 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 54.75/8.27
% 54.75/8.27
% 54.75/8.27 ------
% 54.75/8.27 Current options:
% 54.75/8.27 ------
% 54.75/8.27
% 54.75/8.27
% 54.75/8.27
% 54.75/8.27
% 54.75/8.27 ------ Proving...
% 54.75/8.27
% 54.75/8.27
% 54.75/8.27 % SZS status Unsatisfiable for theBenchmark.p
% 54.75/8.27
% 54.75/8.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 54.75/8.27
% 54.75/8.28
%------------------------------------------------------------------------------