TSTP Solution File: BOO008-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : BOO008-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 18:09:02 EDT 2023
% Result : Unsatisfiable 42.92s 6.77s
% Output : CNFRefutation 42.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 16
% Syntax : Number of clauses : 145 ( 133 unt; 0 nHn; 53 RR)
% Number of literals : 181 ( 147 equ; 37 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 240 ( 42 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
sum(y,z,y_plus_z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',y_plus_z) ).
cnf(c_50,plain,
sum(x,y_plus_z,x__plus_y_plus_z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_plus__y_plus_z) ).
cnf(c_51,plain,
sum(x,y,x_plus_y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_plus_y) ).
cnf(c_52,plain,
sum(x_plus_y,z,x_plus_y__plus_z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_plus_y__plus_z) ).
cnf(c_53,negated_conjecture,
x__plus_y_plus_z != x_plus_y__plus_z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality) ).
cnf(c_56,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',commutativity_of_addition) ).
cnf(c_57,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',commutativity_of_multiplication) ).
cnf(c_58,plain,
sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).
cnf(c_59,plain,
sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_identity2) ).
cnf(c_60,plain,
product(multiplicative_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplicative_identity1) ).
cnf(c_61,plain,
product(X0,multiplicative_identity,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity8) ).
cnf(c_73,plain,
product(X0,inverse(X0),additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplicative_inverse2) ).
cnf(c_87,plain,
add(y,z) = y_plus_z,
inference(well_definedness,[status(thm)],[c_49]) ).
cnf(c_88,plain,
add(x,y_plus_z) = x__plus_y_plus_z,
inference(well_definedness,[status(thm)],[c_50]) ).
cnf(c_89,plain,
add(x,y) = x_plus_y,
inference(well_definedness,[status(thm)],[c_51]) ).
cnf(c_90,plain,
add(x_plus_y,z) = x_plus_y__plus_z,
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_120,plain,
multiply(X0,inverse(X0)) = additive_identity,
inference(well_definedness,[status(thm)],[c_73]) ).
cnf(c_266,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(unflattening,[status(thm)],[c_95]) ).
cnf(c_268,plain,
add(X0,X1) = add(X1,X0),
inference(unflattening,[status(thm)],[c_93]) ).
cnf(c_269,plain,
add(y,x) = x_plus_y,
inference(demodulation,[status(thm)],[c_89,c_268]) ).
cnf(c_270,plain,
add(y_plus_z,x) = x__plus_y_plus_z,
inference(demodulation,[status(thm)],[c_88,c_268]) ).
cnf(c_271,plain,
add(z,x_plus_y) = x_plus_y__plus_z,
inference(demodulation,[status(thm)],[c_90,c_268]) ).
cnf(c_275,plain,
multiply(add(X0,X1),add(X2,X1)) = add(multiply(X0,X2),X1),
inference(unflattening,[status(thm)],[c_115]) ).
cnf(c_277,plain,
multiply(add(X0,X1),add(X0,X2)) = add(X0,multiply(X1,X2)),
inference(unflattening,[status(thm)],[c_111]) ).
cnf(c_279,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
inference(unflattening,[status(thm)],[c_107]) ).
cnf(c_281,plain,
add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(unflattening,[status(thm)],[c_103]) ).
cnf(c_438,plain,
add(multiply(y,X0),z) = multiply(y_plus_z,add(X0,z)),
inference(superposition,[status(thm)],[c_87,c_275]) ).
cnf(c_440,plain,
multiply(X0,add(X1,X0)) = add(multiply(additive_identity,X1),X0),
inference(superposition,[status(thm)],[c_97,c_275]) ).
cnf(c_443,plain,
add(multiply(y,X0),x) = multiply(x_plus_y,add(X0,x)),
inference(superposition,[status(thm)],[c_269,c_275]) ).
cnf(c_544,plain,
add(multiply(y,additive_identity),z) = multiply(y_plus_z,z),
inference(superposition,[status(thm)],[c_97,c_438]) ).
cnf(c_547,plain,
add(multiply(additive_identity,additive_identity),X0) = multiply(X0,X0),
inference(superposition,[status(thm)],[c_97,c_440]) ).
cnf(c_553,plain,
add(multiply(additive_identity,X0),multiplicative_identity) = add(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_440,c_99]) ).
cnf(c_632,plain,
add(multiply(y,y_plus_z),x) = multiply(x_plus_y,x__plus_y_plus_z),
inference(superposition,[status(thm)],[c_270,c_443]) ).
cnf(c_637,plain,
add(z,multiply(y,X0)) = multiply(y_plus_z,add(X0,z)),
inference(demodulation,[status(thm)],[c_438,c_268]) ).
cnf(c_655,plain,
add(X0,multiply(additive_identity,additive_identity)) = multiply(X0,X0),
inference(superposition,[status(thm)],[c_268,c_547]) ).
cnf(c_754,plain,
add(z,multiply(x_plus_y,X0)) = multiply(x_plus_y__plus_z,add(z,X0)),
inference(superposition,[status(thm)],[c_271,c_277]) ).
cnf(c_1625,plain,
multiply(X0,add(inverse(X0),X1)) = add(additive_identity,multiply(X0,X1)),
inference(superposition,[status(thm)],[c_120,c_281]) ).
cnf(c_2368,plain,
multiply(X0,add(inverse(X0),X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_1625,c_97]) ).
cnf(c_2373,plain,
multiply(X0,inverse(X0)) = multiply(X0,additive_identity),
inference(superposition,[status(thm)],[c_98,c_2368]) ).
cnf(c_5177,plain,
multiply(X0,additive_identity) = additive_identity,
inference(demodulation,[status(thm)],[c_2373,c_120]) ).
cnf(c_5179,plain,
multiply(additive_identity,X0) = additive_identity,
inference(superposition,[status(thm)],[c_266,c_5177]) ).
cnf(c_5270,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X2,X0),X1),
inference(superposition,[status(thm)],[c_279,c_268]) ).
cnf(c_5280,plain,
add(X0,multiply(X0,X1)) = multiply(X0,add(multiplicative_identity,X1)),
inference(superposition,[status(thm)],[c_100,c_281]) ).
cnf(c_5289,plain,
add(multiply(X0,X1),multiply(X2,X0)) = multiply(X0,add(X1,X2)),
inference(superposition,[status(thm)],[c_266,c_281]) ).
cnf(c_5343,plain,
add(X0,multiplicative_identity) = add(additive_identity,multiplicative_identity),
inference(light_normalisation,[status(thm)],[c_553,c_5179]) ).
cnf(c_5344,plain,
add(X0,multiplicative_identity) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_5343,c_97]) ).
cnf(c_5349,plain,
add(multiplicative_identity,X0) = multiplicative_identity,
inference(superposition,[status(thm)],[c_5344,c_268]) ).
cnf(c_5381,plain,
multiply(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_655,c_98,c_5179]) ).
cnf(c_5386,plain,
add(X0,multiply(X0,X1)) = multiply(X0,add(X0,X1)),
inference(superposition,[status(thm)],[c_5381,c_281]) ).
cnf(c_5389,plain,
add(multiply(X0,X1),X1) = multiply(add(X0,X1),X1),
inference(superposition,[status(thm)],[c_5381,c_279]) ).
cnf(c_5409,plain,
add(X0,multiply(X0,X1)) = multiply(X0,add(X1,X0)),
inference(superposition,[status(thm)],[c_268,c_5386]) ).
cnf(c_5441,plain,
add(X0,multiply(X1,X0)) = multiply(X0,add(X1,X0)),
inference(demodulation,[status(thm)],[c_5389,c_266,c_268]) ).
cnf(c_5442,plain,
add(X0,multiply(X0,X1)) = add(X0,multiply(X1,X0)),
inference(light_normalisation,[status(thm)],[c_5441,c_5409]) ).
cnf(c_5748,plain,
add(X0,multiply(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_5280,c_100,c_5349]) ).
cnf(c_5750,plain,
add(X0,multiply(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c_5442,c_5748]) ).
cnf(c_5875,plain,
add(multiply(X0,X1),multiply(X2,X0)) = multiply(X0,add(X1,multiply(X2,X0))),
inference(superposition,[status(thm)],[c_5750,c_275]) ).
cnf(c_5880,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,multiply(X2,X1)),X1),
inference(superposition,[status(thm)],[c_5750,c_275]) ).
cnf(c_6054,plain,
multiply(X0,add(X1,multiply(X2,X0))) = multiply(X0,add(X1,X2)),
inference(light_normalisation,[status(thm)],[c_5875,c_5289]) ).
cnf(c_6137,plain,
multiply(add(X0,multiply(X1,X2)),X2) = multiply(add(X1,X0),X2),
inference(light_normalisation,[status(thm)],[c_5880,c_5270]) ).
cnf(c_6138,plain,
multiply(add(X0,X1),X2) = multiply(X2,add(X1,X0)),
inference(demodulation,[status(thm)],[c_6137,c_266,c_6054]) ).
cnf(c_6211,plain,
multiply(X0,add(X1,X2)) = multiply(X0,add(X2,X1)),
inference(superposition,[status(thm)],[c_6138,c_266]) ).
cnf(c_12329,plain,
multiply(X0,additive_identity) = additive_identity,
inference(demodulation,[status(thm)],[c_2373,c_120]) ).
cnf(c_12330,plain,
multiply(additive_identity,X0) = additive_identity,
inference(superposition,[status(thm)],[c_266,c_12329]) ).
cnf(c_12479,plain,
add(X0,multiply(X0,X1)) = multiply(X0,add(multiplicative_identity,X1)),
inference(superposition,[status(thm)],[c_100,c_281]) ).
cnf(c_12682,plain,
add(X0,multiplicative_identity) = add(additive_identity,multiplicative_identity),
inference(light_normalisation,[status(thm)],[c_553,c_12330]) ).
cnf(c_12683,plain,
add(X0,multiplicative_identity) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_12682,c_97]) ).
cnf(c_12688,plain,
add(multiplicative_identity,X0) = multiplicative_identity,
inference(superposition,[status(thm)],[c_12683,c_268]) ).
cnf(c_12807,plain,
multiply(X0,add(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c_440,c_97,c_12330]) ).
cnf(c_12847,plain,
multiply(X0,add(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_12807,c_6211]) ).
cnf(c_13253,plain,
add(X0,multiply(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_12479,c_100,c_12688]) ).
cnf(c_13261,plain,
add(X0,multiply(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_266,c_13253]) ).
cnf(c_13266,plain,
add(add(X0,X1),add(X0,multiply(X1,X2))) = add(X0,X1),
inference(superposition,[status(thm)],[c_277,c_13253]) ).
cnf(c_13291,plain,
multiply(multiply(X0,X1),X0) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_13253,c_12807]) ).
cnf(c_13308,plain,
multiply(X0,multiply(X0,X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_13291,c_266]) ).
cnf(c_13310,plain,
multiply(X0,multiply(X1,X0)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_266,c_13308]) ).
cnf(c_13545,plain,
add(X0,multiply(multiply(X1,X0),X2)) = multiply(X0,add(X0,X2)),
inference(superposition,[status(thm)],[c_13261,c_277]) ).
cnf(c_13551,plain,
add(add(X0,X1),X0) = add(X0,X1),
inference(superposition,[status(thm)],[c_13261,c_13266]) ).
cnf(c_13642,plain,
add(X0,multiply(multiply(X1,X0),X2)) = X0,
inference(demodulation,[status(thm)],[c_13545,c_12847]) ).
cnf(c_13667,plain,
add(add(X0,X1),multiply(add(X0,multiply(X2,X1)),X3)) = add(X0,X1),
inference(superposition,[status(thm)],[c_277,c_13642]) ).
cnf(c_13680,plain,
add(add(X0,X1),multiply(X0,X2)) = add(X0,X1),
inference(superposition,[status(thm)],[c_12847,c_13642]) ).
cnf(c_14170,plain,
add(add(X0,X1),multiply(X2,add(X0,multiply(X3,X1)))) = add(X0,X1),
inference(superposition,[status(thm)],[c_13310,c_13667]) ).
cnf(c_14459,plain,
add(add(X0,X1),multiply(X2,X0)) = add(X0,X1),
inference(superposition,[status(thm)],[c_13253,c_14170]) ).
cnf(c_25727,plain,
add(X0,multiply(additive_identity,X1)) = X0,
inference(superposition,[status(thm)],[c_97,c_13680]) ).
cnf(c_25728,plain,
add(X0,multiply(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_98,c_13680]) ).
cnf(c_25744,plain,
add(X0,multiply(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_98,c_14459]) ).
cnf(c_25747,plain,
add(x__plus_y_plus_z,multiply(X0,y_plus_z)) = x__plus_y_plus_z,
inference(superposition,[status(thm)],[c_270,c_14459]) ).
cnf(c_25758,plain,
add(y_plus_z,y) = y_plus_z,
inference(superposition,[status(thm)],[c_87,c_13551]) ).
cnf(c_25762,plain,
add(x_plus_y,y) = x_plus_y,
inference(superposition,[status(thm)],[c_269,c_13551]) ).
cnf(c_25805,plain,
add(y,y_plus_z) = y_plus_z,
inference(demodulation,[status(thm)],[c_25758,c_268]) ).
cnf(c_25807,plain,
add(y,x_plus_y) = x_plus_y,
inference(demodulation,[status(thm)],[c_25762,c_268]) ).
cnf(c_25827,plain,
add(add(X0,X1),multiply(X2,X1)) = add(X0,X1),
inference(superposition,[status(thm)],[c_268,c_14459]) ).
cnf(c_25828,plain,
add(add(X0,X1),multiply(X1,X2)) = add(X0,X1),
inference(superposition,[status(thm)],[c_268,c_13680]) ).
cnf(c_25964,plain,
add(x_plus_y__plus_z,multiply(X0,x_plus_y)) = x_plus_y__plus_z,
inference(superposition,[status(thm)],[c_271,c_25827]) ).
cnf(c_25973,plain,
add(add(X0,X1),X1) = add(X0,X1),
inference(superposition,[status(thm)],[c_99,c_25827]) ).
cnf(c_26049,plain,
multiply(additive_identity,X0) = additive_identity,
inference(superposition,[status(thm)],[c_25727,c_97]) ).
cnf(c_26061,plain,
add(X0,add(X1,X0)) = add(X1,X0),
inference(demodulation,[status(thm)],[c_25973,c_268]) ).
cnf(c_26070,plain,
add(x,x_plus_y) = x_plus_y,
inference(superposition,[status(thm)],[c_269,c_26061]) ).
cnf(c_26147,plain,
multiply(X0,additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_26049,c_266]) ).
cnf(c_26469,plain,
add(X0,multiply(multiply(X1,X0),X2)) = X0,
inference(superposition,[status(thm)],[c_25744,c_25828]) ).
cnf(c_26471,plain,
add(X0,multiply(multiply(X1,X0),X2)) = multiply(X0,add(X0,X2)),
inference(superposition,[status(thm)],[c_25744,c_277]) ).
cnf(c_26484,plain,
multiply(X0,add(X0,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_26471,c_26469]) ).
cnf(c_26692,plain,
multiply(z,y_plus_z) = z,
inference(demodulation,[status(thm)],[c_544,c_98,c_266,c_268,c_26147]) ).
cnf(c_26710,plain,
add(x__plus_y_plus_z,z) = x__plus_y_plus_z,
inference(superposition,[status(thm)],[c_26692,c_25747]) ).
cnf(c_26717,plain,
add(z,x__plus_y_plus_z) = x__plus_y_plus_z,
inference(demodulation,[status(thm)],[c_26710,c_268]) ).
cnf(c_26750,plain,
multiply(x,x_plus_y) = x,
inference(superposition,[status(thm)],[c_26070,c_26484]) ).
cnf(c_26753,plain,
multiply(y,y_plus_z) = y,
inference(superposition,[status(thm)],[c_25805,c_26484]) ).
cnf(c_26754,plain,
multiply(y,x_plus_y) = y,
inference(superposition,[status(thm)],[c_25807,c_26484]) ).
cnf(c_26757,plain,
multiply(X0,add(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_26061,c_26484]) ).
cnf(c_26867,plain,
add(x_plus_y__plus_z,x) = x_plus_y__plus_z,
inference(superposition,[status(thm)],[c_26750,c_25964]) ).
cnf(c_26965,plain,
add(x,x_plus_y__plus_z) = x_plus_y__plus_z,
inference(demodulation,[status(thm)],[c_26867,c_268]) ).
cnf(c_26969,plain,
add(x,multiply(x_plus_y__plus_z,X0)) = multiply(x_plus_y__plus_z,add(x,X0)),
inference(superposition,[status(thm)],[c_26965,c_277]) ).
cnf(c_27136,plain,
multiply(x_plus_y,x__plus_y_plus_z) = x_plus_y,
inference(light_normalisation,[status(thm)],[c_632,c_269,c_26753]) ).
cnf(c_27137,plain,
multiply(x__plus_y_plus_z,x_plus_y) = x_plus_y,
inference(demodulation,[status(thm)],[c_27136,c_266]) ).
cnf(c_27138,plain,
add(x__plus_y_plus_z,x_plus_y) = x__plus_y_plus_z,
inference(superposition,[status(thm)],[c_27137,c_25728]) ).
cnf(c_27234,plain,
multiply(multiply(X0,X1),X0) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_25728,c_26757]) ).
cnf(c_27244,plain,
multiply(x_plus_y,x__plus_y_plus_z) = x_plus_y,
inference(superposition,[status(thm)],[c_27138,c_26757]) ).
cnf(c_27375,plain,
multiply(X0,multiply(X0,X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_27234,c_266]) ).
cnf(c_27377,plain,
multiply(X0,multiply(X1,X0)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_266,c_27375]) ).
cnf(c_30697,plain,
add(z,multiply(y,X0)) = multiply(y_plus_z,add(z,X0)),
inference(superposition,[status(thm)],[c_268,c_637]) ).
cnf(c_30788,plain,
add(z,multiply(y,x_plus_y)) = multiply(y_plus_z,x_plus_y__plus_z),
inference(superposition,[status(thm)],[c_271,c_30697]) ).
cnf(c_30988,plain,
add(z,y) = multiply(y_plus_z,x_plus_y__plus_z),
inference(light_normalisation,[status(thm)],[c_30788,c_26754]) ).
cnf(c_30989,plain,
multiply(y_plus_z,x_plus_y__plus_z) = y_plus_z,
inference(demodulation,[status(thm)],[c_30988,c_87,c_268]) ).
cnf(c_33832,plain,
add(z,multiply(x_plus_y,x__plus_y_plus_z)) = multiply(x_plus_y__plus_z,x__plus_y_plus_z),
inference(superposition,[status(thm)],[c_26717,c_754]) ).
cnf(c_37756,plain,
multiply(x_plus_y__plus_z,x__plus_y_plus_z) = x_plus_y__plus_z,
inference(light_normalisation,[status(thm)],[c_33832,c_271,c_27244]) ).
cnf(c_37757,plain,
multiply(x__plus_y_plus_z,x_plus_y__plus_z) = x_plus_y__plus_z,
inference(demodulation,[status(thm)],[c_37756,c_266]) ).
cnf(c_37761,plain,
add(x__plus_y_plus_z,x_plus_y__plus_z) = x__plus_y_plus_z,
inference(superposition,[status(thm)],[c_37757,c_25728]) ).
cnf(c_44899,plain,
add(x_plus_y__plus_z,add(x,multiply(x_plus_y__plus_z,X0))) = x_plus_y__plus_z,
inference(superposition,[status(thm)],[c_26969,c_25728]) ).
cnf(c_45283,plain,
add(x_plus_y__plus_z,add(x,multiply(X0,x_plus_y__plus_z))) = x_plus_y__plus_z,
inference(superposition,[status(thm)],[c_27377,c_44899]) ).
cnf(c_45740,plain,
add(x_plus_y__plus_z,add(x,y_plus_z)) = x_plus_y__plus_z,
inference(superposition,[status(thm)],[c_30989,c_45283]) ).
cnf(c_46206,plain,
x__plus_y_plus_z = x_plus_y__plus_z,
inference(demodulation,[status(thm)],[c_45740,c_268,c_270,c_37761]) ).
cnf(c_46207,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_46206,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO008-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.14 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 08:59:48 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 42.92/6.77 % SZS status Started for theBenchmark.p
% 42.92/6.77 % SZS status Unsatisfiable for theBenchmark.p
% 42.92/6.77
% 42.92/6.77 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 42.92/6.77
% 42.92/6.77 ------ iProver source info
% 42.92/6.77
% 42.92/6.77 git: date: 2023-05-31 18:12:56 +0000
% 42.92/6.77 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 42.92/6.77 git: non_committed_changes: false
% 42.92/6.77 git: last_make_outside_of_git: false
% 42.92/6.77
% 42.92/6.77 ------ Parsing...successful
% 42.92/6.77
% 42.92/6.77
% 42.92/6.77
% 42.92/6.77 ------ Preprocessing... sup_sim: 21 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
% 42.92/6.77
% 42.92/6.77 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 42.92/6.77
% 42.92/6.77 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 42.92/6.77 ------ Proving...
% 42.92/6.77 ------ Problem Properties
% 42.92/6.77
% 42.92/6.77
% 42.92/6.77 clauses 17
% 42.92/6.77 conjectures 1
% 42.92/6.77 EPR 1
% 42.92/6.77 Horn 17
% 42.92/6.77 unary 17
% 42.92/6.77 binary 0
% 42.92/6.77 lits 17
% 42.92/6.77 lits eq 17
% 42.92/6.77 fd_pure 0
% 42.92/6.77 fd_pseudo 0
% 42.92/6.77 fd_cond 0
% 42.92/6.77 fd_pseudo_cond 0
% 42.92/6.77 AC symbols 0
% 42.92/6.77
% 42.92/6.77 ------ Input Options Time Limit: Unbounded
% 42.92/6.77
% 42.92/6.77
% 42.92/6.77 ------
% 42.92/6.77 Current options:
% 42.92/6.77 ------
% 42.92/6.77
% 42.92/6.77
% 42.92/6.77
% 42.92/6.77
% 42.92/6.77 ------ Proving...
% 42.92/6.77
% 42.92/6.77
% 42.92/6.77 % SZS status Unsatisfiable for theBenchmark.p
% 42.92/6.77
% 42.92/6.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 42.92/6.77
% 42.92/6.78
%------------------------------------------------------------------------------